From 661f9a01ec530d0e5da8f2f608e14532b6cfa54c Mon Sep 17 00:00:00 2001 From: "russell@unturf.com" Date: Sun, 7 Jun 2026 10:49:48 -0400 Subject: [PATCH] whitepaper: add bend chapter, fifth scope of feedback, source link MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Folds 76 commits of substance since 2026-04-24 into the whitepaper without losing any of the novel cross-domain glue the language earns its keep on. Additions - §4.3 extended from four scopes to five, with bend as feedback across heterogeneous compute (host ↔ GPU). New diagram diagrams/five-scopes-feedback.png stacks the boundaries. - §11.8 Bend: cross-tier GPU dispatch. Wire modes (S-exp text, BSHK binary), worker hosting per tier, spawn-process-stdio + flush-port cross-tier IPC, worker health heartbeat with VRAM-ranked pick, 6-row catalog of live forms (cuda-shake-fanout, cuda-secp256k1-mul, cuda-bignum-cgbn, cuda-radix-sort, cuda-blake3-tree, cuda-sim-ops-bin). New diagram diagrams/bend-dispatch.png. - §2.1 C-tier bignum: arbitrary-precision integers (Boehm-GC managed), which unblocked the secp256k1 widths the GPU forms need on the host side. - §12.1 post-cycle audit: recv-exact O(n²)→O(n), asm scheme_read overflow, asm gc_sweep page-fault, C-tier JIT cur_code restore across CALL/RETURN. - §13 GPU Phase 1 moved from future to shipped; Phase 2 trampolining and Phase 3 interaction combinators sharpened. - Source repo link (git.unturf.com/engineering/unturf/lumbda) added to the cover page band and the Citation block. Compressions (no novel glue dropped — audited per fox's constraint) - §8.2-§8.5 EML derivation prose collapsed into a single §8.2 derivation chain code block; §8.6 renumbered to §8.3. - §6.6.3 adaptive-meta-GC narrative compressed; result table kept. - §7.4.1 GC-build S-expression portal tightened to two paragraphs; "language is its own wire format" insight kept. Preserved in full per audit - §7.5 portable RNG state across tiers - §7.5.1 one-side kernel entropy + portable bit-identical continuation - §11.7 sendfile + adaptive preload (27 KB asm-gc within 2% of Caddy) - §6.6.1 collaborative arena + mark verifier - §6.6.5 precise block typing - §8.1 + §8.3 Lumbda hosts its own EML proof checker, ~16× faster than Lean cold Net RST: 1622 → 1655 lines. --- docs/bend-dispatch.dot | 97 + docs/bend-dispatch.png | Bin 0 -> 128510 bytes docs/five-scopes-feedback.dot | 105 + docs/five-scopes-feedback.png | Bin 0 -> 81767 bytes whitepaper/diagrams/bend-dispatch.png | Bin 0 -> 128510 bytes whitepaper/diagrams/five-scopes-feedback.png | Bin 0 -> 81767 bytes whitepaper/lumbda-whitepaper.html | 190 +- whitepaper/lumbda-whitepaper.pdf | 4852 +++++++++--------- whitepaper/lumbda-whitepaper.rst | 224 +- 9 files changed, 2990 insertions(+), 2478 deletions(-) create mode 100644 docs/bend-dispatch.dot create mode 100644 docs/bend-dispatch.png create mode 100644 docs/five-scopes-feedback.dot create mode 100644 docs/five-scopes-feedback.png create mode 100644 whitepaper/diagrams/bend-dispatch.png create mode 100644 whitepaper/diagrams/five-scopes-feedback.png diff --git a/docs/bend-dispatch.dot b/docs/bend-dispatch.dot new file mode 100644 index 0000000..02bf604 --- /dev/null +++ b/docs/bend-dispatch.dot @@ -0,0 +1,97 @@ +// Bend cross-tier GPU dispatch — 2026-06-07 +// "A diagram is worth 10,000 words." — russell@unturf.com +// +// One (bend …) form. The dispatcher picks local vs worker per call. +// When it goes remote, the wire frame is either S-expression text +// (small payloads, parser cost dominates) or a 4-byte magic + raw +// bytes (huge payloads). Workers spawn a leaf CUDA binary via each +// tier's native process-spawn primitive. CUDA kernel returns bytes +// back through the same wire frame. +digraph bend_dispatch { + rankdir=LR + splines=true + nodesep=0.45 + ranksep=0.7 + node [shape=box, style="filled,rounded", fontname="Helvetica", fontsize=11, margin="0.18,0.10"] + edge [fontname="Helvetica", fontsize=9, arrowsize=0.85] + label="Bend — one (bend …) form across host, wire, worker, and GPU" + labelloc=t + fontsize=14 + fontname="Helvetica Bold" + + // ─── Caller side ──────────────────────────────────────────────── + subgraph cluster_caller { + label="Caller tier (any of Python / C / asm)" + labelloc=t + style="rounded,filled" + fillcolor="#e8f4f8" + color="#0984e3" + fontname="Helvetica Bold" + fontsize=11 + fontcolor="#0984e3" + call [label="(bend! …) form\nin user code" fillcolor="#b3d9e8"] + cost [label="cost estimator\n(local vs wire)" fillcolor="#d6eaf8"] + local [label="evaluate locally\n(small payloads)" fillcolor="#aed6f1"] + call -> cost + cost -> local [label="cheap" fontcolor="#1f618d"] + } + + // ─── Wire ────────────────────────────────────────────────────── + subgraph cluster_wire { + label="Wire — port 8320 (BEND)" + labelloc=t + style="rounded,filled" + fillcolor="#fff8e1" + color="#f57f17" + fontname="Helvetica Bold" + fontsize=11 + fontcolor="#f57f17" + sexp [label="S-expression\n(text)\n— small payloads" fillcolor="#ffe082"] + bin [label="binary frame\nmagic + raw bytes\n— huge payloads\n(BSHK, BCGB, BSCP,\n BSRT, BSB3, …)" fillcolor="#ffd54f"] + } + + cost -> sexp [label="≤ ~1k inputs" fontcolor="#f57f17"] + cost -> bin [label="≥ ~1k inputs\n(150× over S-exp\n at 1 M)" fontcolor="#f57f17"] + + // ─── Worker side ─────────────────────────────────────────────── + subgraph cluster_worker { + label="Worker tier (any of Python / C / asm — listens on :8320)" + labelloc=t + style="rounded,filled" + fillcolor="#e8f5e9" + color="#2e7d32" + fontname="Helvetica Bold" + fontsize=11 + fontcolor="#2e7d32" + recv [label="gpu-worker\nrecv + dispatch\n+ health" fillcolor="#a5d6a7"] + spawn [label="spawn-process-stdio\n— Py: subprocess.Popen\n— C: fork + execve\n— asm: pipe2+fork+execve\n (raw syscall, no libc)" fillcolor="#c8e6c9"] + recv -> spawn + } + + sexp -> recv + bin -> recv + + // ─── Leaf CUDA binary + GPU ──────────────────────────────────── + subgraph cluster_gpu { + label="Leaf CUDA binary + RTX 3090" + labelloc=t + style="rounded,filled" + fillcolor="#f3e5f5" + color="#7b1fa2" + fontname="Helvetica Bold" + fontsize=11 + fontcolor="#7b1fa2" + leaf [label="shake256-fanout /\nsecp256k1-batch-mul /\ncgbn-batch-worker /\nblake3-fanout /\nradix-sort /\ndemo_ops …" fillcolor="#ce93d8"] + kernel [label="CUDA kernel\n(byte-identical\n vs host reference)" fillcolor="#ba68c8"] + leaf -> kernel + } + + spawn -> leaf [label="stdin / stdout" fontcolor="#7b1fa2"] + + // ─── Return path ─────────────────────────────────────────────── + kernel -> leaf [label="bytes back" fontcolor="#7b1fa2" style=dashed] + leaf -> spawn [style=invis] + spawn -> recv [label="result" style=dashed fontcolor="#2e7d32"] + recv -> cost [label="wire frame back" style=dashed fontcolor="#f57f17" constraint=false] + local -> call [label="value" style=dashed fontcolor="#1f618d" constraint=false] +} diff --git a/docs/bend-dispatch.png b/docs/bend-dispatch.png new file mode 100644 index 0000000000000000000000000000000000000000..64e47b951f83972058034df9728835903bbe6d14 GIT binary patch literal 128510 zcmeFZcQl-B^foG$kOUDV1h0f>K@z=AGFlKsXVmDu_nHJD1c@45h~9e{B_xR6i87;( z&O{wE%6vC@-*0_uowd#%XRY7)DG4i@G>it>@6_*dHc@aHOBSdn>Pj5 zT7>_5779lIV^zXGH;XBv=KHhj%dh_4wH*`c}XDdBx zrI-G1I!~8sYj0;?8^}>g8yOif6W%H_?pVxx1gp$VxH$+j>rX9u#VU?Jc4quJlBY^Z z9Hf|IU6v`(@iVb^>DR9pMH)$8zF1^UR9X%{Vo_41!+G(zZ|Qno<^Hspmk+KG5ag1aEyIG2o}NBM*mVs|$HSxc-bZ>NClm0dNN-$y zX|XdpjEZvygYlnzO9+FNH}KhR3k?mOs4yQNZ8v#(a<~u)4Vj&t9XIfAyiyQA z*Ox3bTw_1eg4y2w+$=F--8ok{ae}Yj| zR8(N_%7RW2bb~Q34TJBVa*@W=WEF3g<#0Ck@X+RW>D`ld0$Mk#PRVl3{Itn`AMPlEi3C9WA@90sF)ZvEv?+~b;!{M4+{&6Y?N8g 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n3a -> n3b [color="#f57f17" penwidth=1.8] + } + + // Row 4 — across machine + subgraph cluster_4 { + label="④ Across machine — TCP socket (request / response bytes)" + labelloc=b + style="rounded,filled" + fillcolor="#fce4ec" + color="#c2185b" + fontname="Helvetica Bold" + fontsize=11 + fontcolor="#c2185b" + rank=same + n4a [label="machine M1" fillcolor="#f8bbd0" color="#c2185b"] + n4b [label="machine M2" fillcolor="#f8bbd0" color="#c2185b"] + n4a -> n4b [color="#c2185b" penwidth=1.8] + } + + // Row 5 — across compute + subgraph cluster_5 { + label="⑤ Across compute — (bend …) form (S-exp or BSHK binary)" + labelloc=b + style="rounded,filled" + fillcolor="#f3e5f5" + color="#7b1fa2" + fontname="Helvetica Bold" + fontsize=11 + fontcolor="#7b1fa2" + rank=same + n5a [label="host CPU (any tier)" fillcolor="#ce93d8" color="#7b1fa2"] + n5b [label="CUDA worker + kernel" fillcolor="#ce93d8" color="#7b1fa2"] + n5a -> n5b [color="#7b1fa2" penwidth=1.8] + } + + // Invisible chain forces vertical 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Feedback is all you need: continuations within a process, portals across processes, S-expressions across implementations, sockets across machines.

russell@unturf, TimeHexOn, foxhop, Zoë Trout

lumbda.com · uncloseai.com · permacomputer.com

+

Source: git.unturf.com/engineering/unturf/lumbda

April 2026

@@ -1208,7 +1209,7 @@ body > .wp-toc-backdrop {

  • Macro: Wraps a transformer (Proc or _SyntaxTransformer)

  • Env: Lexical environment chain (bindings dict, parent pointer, global pointer)

    • -

    Exact rational arithmetic uses Python's Fraction type. (/ 1 3) evaluates to 1/3, not 0.333.... Literal 1/3 syntax parses directly to rationals.

    +

    Exact rational arithmetic uses Python's Fraction type. (/ 1 3) evaluates to 1/3, not 0.333.... Literal 1/3 syntax parses directly to rationals. The C tier carries the matching integer story through a runtime-promoted bignum: small integers stay tagged 63-bit int64_t on the fast path, and any operation that would overflow promotes to an arbitrary-precision representation (Boehm-GC-managed). The promotion is invisible to Scheme code — (expt 2 1024) returns the exact value across all three tiers. This is what unblocked the secp256k1 widths used by the §11.8 GPU forms; the bend dispatcher would not have been honest with cropped 64-bit arithmetic on the host side.

    2.2 The Bytecode

    @@ -1330,9 +1331,9 @@ OP_VEC_REF OP_VEC_SET

    One primitive. Every pattern.

    -
    -

    4.3 Four Scopes of Feedback

    -

    The single word "feedback" covers four nested scopes, each giving rise to one of our core abstractions:

    +
    +

    4.3 Five Scopes of Feedback

    +

    The single word "feedback" covers five nested scopes, each giving rise to one of our core abstractions:

    @@ -1368,10 +1369,21 @@ OP_VEC_REF OP_VEC_SET + + + + +

    request / response bytes

    six tcp-* primitives

    Across compute

    (bend ...)

    call shipped to worker

    wire protocol + spawn
    -

    Within a single VM, a continuation is the unit — the whole call stack, captured & passed. Across processes on the same machine, a portal is the unit — the whole heap or VM state, serialized to a file, resumed elsewhere. Across implementations that share no binary compatibility, Scheme source itself is the unit: (define x 42) travels because every parser already knows how to receive it. Across machines, bytes over a socket are the unit — an HTTP request is feedback to a peer, a response is feedback back. The HTTP handler is 70 lines of portable Scheme that runs byte-identical in all three runtimes.

    -

    The same abstraction, at four scopes. No new primitive at any level — each scope adds one implementation primitive (call/cc / portal / reader / socket) and keeps the semantics. This is what "feedback is all you need" actually means once you extend it past the process boundary.

    +

    Within a single VM, a continuation is the unit — the whole call stack, captured & passed. Across processes on the same machine, a portal is the unit — the whole heap or VM state, serialized to a file, resumed elsewhere. Across implementations that share no binary compatibility, Scheme source itself is the unit: (define x 42) travels because every parser already knows how to receive it. Across machines, bytes over a socket are the unit — an HTTP request is feedback to a peer, a response is feedback back. Across heterogeneous compute (CPU ↔ GPU), a single (bend ...) call is the unit — the runtime decides per call whether the form evaluates locally or ships to a CUDA worker, and the answer feeds back through the same protocol the cross-machine and cross-impl scopes already use. The HTTP handler is 70 lines of portable Scheme that runs byte-identical in all three runtimes; the bend dispatcher is built on the same socket and portal primitives.

    +

    The same abstraction, at five scopes. No new primitive at any level — each scope adds one implementation primitive (call/cc / portal / reader / socket / bend dispatcher) and keeps the semantics. This is what "feedback is all you need" actually means once you extend it past the process boundary, past the implementation boundary, past the machine boundary, and now past the host-vs-accelerator boundary. §11.8 covers the wire protocol and the catalog of GPU forms surfaced through bend; this section just plants it as the fifth scope.

    +
    +diagrams/five-scopes-feedback.png +
    +

    Five scopes of feedback as concentric crossings. Each row names what travels, the mechanism that lets it travel, and the cluster colour follows through the rest of the paper — blue for within-process (§3-§5), green for across-process portal (§7), amber for across-impl source-as-data (§11.1-§11.4), pink for across-machine sockets (§11.3-§11.5), purple for across-compute bend (§11.8).

    +
    +
    @@ -1731,22 +1743,9 @@ as --64 lumbda.s # default, bump-only

    6.6.3 Collaborative Meta-GC: From Greedy to Adaptive

    -

    The policy described in §6.6.1 is greedy — at every (with-arena) exit, unconditionally run the verifier, then decide reset-vs-sweep based on what it found. That works, but it pays the mark-phase cost even for arenas that are almost certainly going to escape. On a workload where most arenas escape, the verifier's work is wasted: the answer was going to be "escape" regardless.

    -

    The next layer replaces that with an adaptive policy driven by a scaled exponential moving average of recent escape rate:

    -
    rate = (rate * 7 + sample * 256) / 8    # sample = 0 (reset) | 1 (escape)
    -

    When rate > 128 (50% escape rate) the dispatcher skips the verifier entirely and lets the arena's allocations survive in place. The heap keeps growing until a natural bump-overflow triggers gc_collect, which reclaims anything truly dead with a proper mark pass. Every 16 skipped arenas, a probe forces one verify so the policy can re-evaluate and recover if the workload shifts back to arena-friendly.

    -

    Four co-operating pieces — allocator, mark phase, arena verifier, and the policy dispatcher — share exactly one piece of state (the EMA plus a probe countdown) and make local decisions:

    -
    allocator: reads arena_active to skip free-list reuse
-gc_collect: clears arena_active on implicit trigger (snapshot stale)
-verifier: returns 0 (reset) / 1 (escape) for EMA update
-dispatcher: reads rate+countdown, decides verify|skip|probe
    -

    No component queries another's internals. This is "collaborative" in the structural sense — shared state, no direct coupling — while each decision remains local.

    -

    Control toggles:

    -
    (arena-set-mode 0)   ; greedy baseline (always verify)
-(arena-set-mode 1)   ; adaptive (default)
    -

    Stats now include skipped-verifier count and the current EMA, for observability:

    -
    (arena-stats) -> (calls resets escapes skipped bytes-reclaimed rate)
    -

    Three-workload benchmark (make bench-gc-adaptive, i5-8350U, N=1000 iterations per phase, each phase in a fresh asm-gc process to isolate state):

    +

    The §6.6.1 policy is greedy — every (with-arena) exit runs the verifier first, then decides reset-vs-sweep. An adaptive dispatcher (arena-set-mode 1, the default) tracks recent escape rate as a scaled EMA — rate = (rate * 7 + sample * 256) / 8 where sample = 0 on reset, 1 on escape — and when rate > 128 (50% escape) it skips the verifier entirely, letting the natural bump-overflow GC reclaim anything truly dead. Every 16 skipped arenas, a probe forces one verify so the policy can recover if the workload shifts back to arena-friendly.

    +

    Four pieces collaborate through one piece of shared state (the EMA + probe countdown): allocator reads arena_active to skip free-list reuse; gc_collect clears it on implicit trigger; verifier returns 0/1 for the EMA update; dispatcher reads rate + countdown to decide verify|skip|probe. No component queries another's internals.

    +

    Three-workload benchmark (make bench-gc-adaptive, i5-8350U, N=1000 iterations per phase, fresh asm-gc process per phase):

    @@ -1818,14 +1817,7 @@ dispatcher: reads rate+countdown, decides verify|skip|probe
    -

    Reading the numbers:

    -
      -

    • Friendly workload: adaptive and greedy are within ~1%. EMA stays at 0 (every arena resets), so the skip path never fires — a null result for the adaptive policy, which is exactly what we want on workloads that are already arena-scoped cleanly.

      • -

    • Hostile workload: also within ~1%. Both modes trigger implicit gc_collect 982 times out of 1000 arenas — heap overflow during the thunk clears arena_active before the dispatcher sees it, so the adaptive skip path only activates 11 times. The policy's signal is drowned out by pressure-driven GC on this shape. Adaptive isn't helping, but it's not hurting either.

      • -

    • Mixed workload: adaptive and greedy within ~1%. Earlier measurements (before the precise-type-byte fix) had shown a 17% adaptive win here; after the fix the numbers converged. The fix both accelerated the common paths (fewer redundant checks) and closed one correctness hole, so whatever advantage adaptive was extracting from the specific crash pattern it had tolerated is now available to greedy too. Honest result is that adaptive is neutral here, not a win.

      • -
    -

    Honest read. The adaptive policy is currently a null experiment on these three workloads — within measurement noise of greedy in all three cases. It may still win on workloads we haven't probed (long-running servers with occasional large bursts, mixed short/long transactions), but nothing in the three-way benchmark tells us to prefer it. Shipping it as default (arena_adaptive_mode=1 at _start) costs nothing and keeps the counters (arena-stats fifth field = skipped, sixth field = EMA rate ×256) available for observability. The benchmark also drove the original precise-type-byte work (§6.6.5) that eliminated the latent class of conservative-scan bugs — so even the null result paid for itself in correctness progress.

    -

    Reproduce: make bench-gc-adaptive (source: tests/bench-gc-adaptive.sh, examples/bench-gc-adaptive.lsp). Each (workload × mode) pair runs in a fresh asm-gc process so results don't contaminate each other across phases.

    +

    Honest read. Adaptive is a null experiment on these three workloads — within measurement noise of greedy everywhere. It may still win on long-running mixed workloads we haven't probed, but nothing here demands it. Shipping at default costs nothing and the arena-stats counters (skipped count, EMA rate ×256) give observability for future tuning. The benchmark drove the precise-type-byte work in §6.6.5 — so even the null result paid for itself in correctness progress.

    6.6.4 Validation: HTTP Server Under Sustained Load

    @@ -2042,14 +2034,12 @@ bi_portal_resume:

    Constraints: same architecture, same binary layout, same process model. An asm binary portal written on one box resumes on another x86_64 Linux box running the same asm binary. It does not resume on a rebuilt binary — the BSS-resident symbol table sym_table is not in the heap dump, so interned symbols would need to be reinterned. That's the price of trivial serialization.

    7.4.1 The GC Build Uses S-Expressions

    -

    The GC asm build can't use the binary heap dump because the heap is a linked list of chunks with typed block headers and a free list — raw-byte serialization would lose the structure. Rather than inventing portal v2 with chunk tables and pointer-relocation metadata, the GC build's portal-save walks the global env chain from %r14 and emits one (define <sym> (quote <val>)) form per binding. portal-resume is equivalent to (load "<filename>") — read every form and eval it.

    +

    The GC asm build can't use the binary heap dump — its heap is a linked list of chunks with typed block headers and a free list, so raw-byte serialization would lose the structure. Rather than inventing portal v2 with chunk tables and pointer-relocation metadata, the GC build's portal-save walks the global env chain from %r14 and emits one (define <sym> (quote <val>)) per binding; portal-resume is equivalent to (load "<filename>"). The language is its own wire format.

    # GC-build portal file is just Scheme source:
 (define nums (quote (1 2 3 4 5)))
 (define greeting (quote "hello"))
 (define x (quote 42))
    -

    Every non-builtin, non-closure binding round-trips. Closures and builtins are skipped — closures can't be faithfully re-read from their printed form, builtins get re-created from the target interpreter's prelude. This is the same treatment the JSON portal already gives to builtins (§7.3).

    -

    Trade-off. The GC build's portal is slower than the binary dump (walks each binding through the printer) and stricter about what it can preserve (data only, no closures or continuations). In exchange: every portal produced by the GC build resumes on every other tier, with no MAP_FIXED trick, no architecture constraint, no "same binary" requirement. A GC-asm producer can hand a portal to a Python consumer — we added the asm-gc column to the §7.2 matrix and all 16 cells are green.

    -

    Version tag. Every v1 portal starts with a single comment line — ;; lumbda-portal v1 — that Scheme readers already skip but the resume path actively parses. The matching policy: a file beginning with ;; is required to match the v1 prefix exactly, or portal-resume returns #f instead of trying to evaluate forms that may use syntax the current reader doesn't understand. A file that doesn't begin with ;; at all is accepted as legacy (pre-v1) for back-compat. The S-expression portal is a migration format, not an archive format — it exists to hand live data across a process boundary at handoff time, not to carry state across years of language evolution. When we need the latter, it earns its own format with proper schema evolution and a builtin-rename mapping table; the current portal stays simple and the version tag is the hook that lets v2 happen cleanly when someone actually needs it.

    +

    The trade is portability for capacity: every non-builtin, non-closure binding round-trips (closures can't be faithfully re-read; builtins get re-created from the target's prelude — same policy as §7.3 JSON), and in exchange every GC-build portal resumes on every other tier with no MAP_FIXED, no architecture constraint, no "same binary" requirement. The §7.2 matrix gains an asm-gc column and all 16 cells stay green. A v1 prefix line — ;; lumbda-portal v1 — gates the format so future schema changes can break cleanly; the S-expression portal is a migration format for live handoff, not an archive format.

    @@ -2216,39 +2206,35 @@ errors

    (define (eml x y) (- (exp x) (log y)))

    With this operator & the constant 1, the following derivation chain constructs every elementary function:

    -
    -

    8.2 Stage 1: Core Functions (Depth 1--3)

    -
    exp(x) = eml(x, 1)                        ; ln(1) = 0, so eml(x,1) = exp(x) - 0
-e      = eml(1, 1)                         ; exp(1) = e
-ln(x)  = eml(1, eml(eml(1,x), 1))         ; nested application recovers ln
    -

    Proof of ln recovery: Let a = eml(1,x) = e - ln(x). Then eml(a, 1) = exp(e - ln(x)) = exp(e)/x. Then eml(1, exp(e)/x) = e - ln(exp(e)/x) = e - e + ln(x) = ln(x).

    -
    -
    -

    8.3 Stage 2: Arithmetic

    -
    0          = ln(1) = eml(1, eml(eml(1,1), 1))
-a - b      = eml(ln(a), exp(b))            ; exp(ln(a)) - ln(exp(b)) = a - b
--1         = (e-1) - e                      ; via eml subtraction chain
-a * b      = exp(ln(a) + ln(b))            ; multiplication from exp & ln
-1/x        = exp(-ln(x))                   ; division from exp & ln
-x^y        = exp(y * ln(x))                ; exponentiation
-sqrt(x)    = exp(ln(x) / 2)               ; roots
    -
    -
    -

    8.4 Stage 3: Complex Plane Access

    -
    ln(-1) = iπ                                ; standard complex logarithm
-Ï€ = imag(ln(-1))
-i = exp(iπ/2)
    -

    The key insight: ln of a negative number enters the complex plane. Since we can construct -1 from eml via the subtraction chain, ln(-1) yields iπ, from which π & i follow.

    -
    -
    -

    8.5 Stage 4: Trigonometry via Euler

    -
    sin(x) = (exp(ix) - exp(-ix)) / 2i        ; Euler's formula
+
    
+
    8.2 Derivation Chain
    
+
    Four stages climb from one operator to every elementary function. The full per-step proof lives in the cited arXiv paper; this is the chain in code form, as the Lumbda checker actually runs it:
    
+
    ; Stage 1 — core (depth 1-3)
+exp(x) = eml(x, 1)                          ; ln(1)=0, so eml(x,1) = exp(x)-0
+e      = eml(1, 1)                          ; exp(1)=e
+ln(x)  = eml(1, eml(eml(1,x), 1))           ; nested eml recovers ln
+
+; Stage 2 — arithmetic, from exp & ln
+0      = ln(1)
+a - b  = eml(ln(a), exp(b))                  ; subtraction
+a * b  = exp(ln(a) + ln(b))                  ; multiplication
+1/x    = exp(-ln(x))                         ; division
+x^y    = exp(y * ln(x))                      ; exponentiation
+sqrt(x)= exp(ln(x) / 2)                      ; roots
+
+; Stage 3 — complex plane via ln(-1)
+ln(-1) = iπ                                  ; complex logarithm of -1
+π      = imag(ln(-1))                        ; π from imaginary part
+i      = exp(iπ/2)                           ; i from Euler
+
+; Stage 4 — trigonometry via Euler
+sin(x) = (exp(ix) - exp(-ix)) / 2i
 cos(x) = (exp(ix) + exp(-ix)) / 2
 tan(x) = sin(x) / cos(x)
    
-
    All trigonometric functions follow from complex exponentials, which follow from exp, which follows from eml.
    
+
    Each line is one rewrite step the symbolic checker in proof/eml_proof_in_lumbda.lsp actually exercises. The key insight at Stage 3 is that ln of a negative number enters the complex plane: once we can construct -1 from eml via the subtraction chain, ln(-1) = iπ follows, and π, i, and every trigonometric function fall out of Euler.
    
 
    
 
    
-
    8.6 Verification & Friction Analysis
    
+
    8.3 Verification & Friction Analysis
    
 
    The proof has been verified at six distinct levels. Times are best-of-3 on the i5-8350U:
    
 @@ -2371,7 +2357,7 @@ ALL EML THEOREMS VERIFIED IN LUMBDA
    
 

 
    
 
    Two comparisons matter. Cold vs cold is the honest end-to-end compare: Lumbda asm (46 ms) verifies the proof ~16× faster than Lean's cold rebuild (722 ms) on the same hardware, because Lumbda doesn't link a compiled binary or spin up a kernel — it just runs a rewriter over five small terms. Cached vs cached is the throwaway benchmark but still interesting: Lumbda asm at 7 ms vs Lean at 5 ms, within 1.5×, on what is essentially "read a file and print five lines."
    
 
    All four Lumbda tiers verify the proof. A C --fast bytecode-compiler bug originally caused the final tier to hang on the rewriter's named-let loop; narrowed to a minimal reproduction (see c/TODO-named-let-bytecode.md) and worked around in the proof file by using an internal recursive define in place of the offending named-let. All four tiers now complete in under 100 ms cold. Reproduce: make bench-proof (source: tests/bench-proof.sh).
    
-
    First machine-checked treatment. The original paper (Odrzywołek, arXiv:2603.21852v2, 2026-04-04) presents the EML universality claim analytically — pure LaTeX mathematics, no formal tool. The companion Zenodo artifact is symbolic-regression / gradient-optimization code, not a verification. To our knowledge the Lean 4 proof shipped in this repo is the first machine-checked treatment of the EML identities, and the accompanying Lumbda-native checker is the first self-hosted machine-checked version. Five theorems, zero sorry, no Mathlib dependency — ~1,280× faster than the brute-force numerical search it replaced once the symbolic rewriter was written (see §8.6 for the full six-row comparison), and carrying the additional guarantee that no implementation quirk of floating point can ever break the conclusion.
    
+
    First machine-checked treatment. The original paper (Odrzywołek, arXiv:2603.21852v2, 2026-04-04) presents the EML universality claim analytically — pure LaTeX mathematics, no formal tool. The companion Zenodo artifact is symbolic-regression / gradient-optimization code, not a verification. To our knowledge the Lean 4 proof shipped in this repo is the first machine-checked treatment of the EML identities, and the accompanying Lumbda-native checker is the first self-hosted machine-checked version. Five theorems, zero sorry, no Mathlib dependency — ~1,280× faster than the brute-force numerical search it replaced once the symbolic rewriter was written (see §8.3 for the full six-row comparison), and carrying the additional guarantee that no implementation quirk of floating point can ever break the conclusion.
    @@ -2874,6 +2860,76 @@ client port

    Adaptive preload: ``http-static-server-adaptive.lsp``. A hit-counter hash-table (URL → integer) is updated every request. Every N requests the counter is flushed to www.hits as newline-delimited path count records. On startup the file is loaded, sorted descending, and the top cache-max URLs are preloaded — so each boot reflects what the previous run actually served. Cold start falls back to a seed list (/ and /404.html). Cold requests beyond the seed set are promoted into the cache on first hit until the cap is reached. Because this server mutates persistent state (the counter and the cache) on every request, the arena-pattern heap-restore is dropped and the GC build's mark-sweep reclaims transients instead.

    For small deployments (≤ ~1000 resources) this is ~95% of the win of a full predictive-preload system: the top few URLs dominate traffic and get pinned at boot. Anything rarer warms on demand. The remaining 5% — predicting which URLs will be needed from co-occurrence rather than raw frequency — is §13 Future Work.

    +
    +

    11.8 Bend: Cross-Tier GPU Dispatch

    +

    §11.3 showed lumbda serving HTTP from any tier. §11.4 showed s-expressions over sockets as RPC. §11.5 moved live bindings between machines through portal-over-HTTP. The last scope §4.3 planted — across heterogeneous compute — needs one more primitive: a way for Scheme code to dispatch hot inner loops to a CUDA-backed worker without pulling the toolchain into the lumbda build.

    +

    examples/cuda-fanout/ ships that primitive. (bend ...) is a special form that takes one ordinary lambda invocation and, at call time, decides whether to evaluate it locally or ship it to a worker over a wire protocol. The decision is cost-driven — a per-form estimator compares the wire round-trip against the expected local cost and picks the cheaper path. The same (bend ...) form runs unmodified across the Python, C, and asm tiers; the dispatcher reuses the same socket + portal primitives the other §11 sections built.

    +
    +diagrams/bend-dispatch.png +
    +

    One ``(bend …)`` form across host, wire, worker, and GPU. The cost estimator picks local vs wire per call; small payloads ride the S-expression text frame, huge payloads ride the binary ``BSHK`` / ``BCGB`` / ``BSCP`` / ``BSRT`` / ``BSB3`` magic. The worker tier — Python, C, or asm — spawns a leaf CUDA binary via its native process-spawn primitive (``subprocess.Popen`` / ``fork`` + ``execve`` / raw ``pipe2`` + ``fork`` + ``execve``). Dashed arrows are the return path; results travel the same wire frame backwards.

    +
    +
    +

    Two wire modes, one form. Bend's wire protocol carries either S-expressions (text) or a binary frame whose first four bytes are a magic that names the payload shape (BSHK for shake fan-out, BCGB for CGBN ops, BSCP for secp256k1 scalar-mul, BSRT/BSRR for radix sort, BSB3/BSR3 for BLAKE3-tree):

    +
    ;; small payloads — readable, every tier already has the parser
+(bend! '(cuda-shake-fanout ("00" "01" "deadbeef") 32))
+
+;; huge payloads — binary frame, parser cost drops out
+(bend! '(cuda-radix-sort n u64-vec))
    +

    S-expression mode wins on small calls because no new code path runs — the existing portal reader handles the round-trip. Binary mode wins at scale: at 1 M × 16 B SHAKE-256 inputs the BSHK path is 150× faster than s-exp (parser cost dominates above ~1 k inputs) and 12× faster than the host's own hashlib loop. The crossover is the same shape we saw with the JSON portal vs the binary heap dump in §7.4: portability wins until the parser is the bottleneck, then the typed binary frame takes over.

    +

    Workers run on any tier. make gpu-worker LUMBDA={c,python,asm} boots a Scheme-resident gpu-worker that listens on port 8320 (BEND mnemonic) and spawns a leaf CUDA binary per call via spawn-process-stdio — a new cross-tier primitive (Python subprocess.Popen, C fork + execve, asm raw pipe2 + fork + execve syscalls — no libc) that lands the same (spawn-process-stdio path argv) form in all three tiers. The C-tier worker host is ~9× faster than Python on small calls (dispatcher overhead drops with the interpreter); at huge calls the binary wire mode equalizes everything because the worker is now spending all its time in the CUDA kernel. The asm-tier worker host is ~70 KB statically linked.

    +

    Worker health. Every worker exposes a (health) op that returns (vram-free-bytes pid uptime-ms). The dispatcher caches the response for 5 s and ranks workers by free VRAM — a 3090 with 24 GB free always picks over a 4090 already running qwen. cluster.lsp reuses the same protocol across a 3-node fleet (3× RTX 3090, see lumbda.com/bend.html).

    +

    Catalog of live forms. Each form ships a self-contained CUDA binary plus a one-line lumbda wrapper. Headline numbers on RTX 3090:

    + ++++++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +

    Form

    Throughput

    vs baseline

    Wire

    cuda-shake-fanout

    1 M × 16 B in ~12 ms

    12× hashlib

    BSHK

    cuda-secp256k1-mul v3

    13.83 Mkeys/s @ n=1M

    1.76× v1 (~309× coincurve)

    BSCP

    cuda-bignum-cgbn

    1.28 Gops/s mod-mul (256-bit)

    ~256× GMP CPU

    BCGB

    cuda-radix-sort

    5.50 Gkeys/s @ n=10M (CUB DeviceRadixSort u64)

    ~4× Titan baseline

    BSRT

    cuda-blake3-tree

    32.5 GB/s @ 1M × 64 B (kernel 1.97 ms)

    single-GPU reference

    BSB3

    cuda-sim-ops-bin

    1.27× host @ 141 batches (9024 shots); SHAKE-RNG mode bit-identical to upstream eval_circuit

    matches upstream Pareto

    ops.bin

    +

    Every form's output is byte-identical against a host reference: hashlib.shake_256 for SHAKE, coincurve for secp256k1, hashlib.blake3 for BLAKE3, Python sorted() for radix, and the upstream eval_circuit walker on the same ops.bin for circuit simulation. The catalog is open at examples/cuda-fanout/CATALOG.md — currently 27 surveyed forms across cryptography, sort/search, graph, sparse linear algebra, and signal processing. Companion page: lumbda.com/bend.html carries the live fleet status and the published speedup table.

    +

    Why this matters past the speedups. A 22 KB asm interpreter that drives a 24 GB GPU through a 4-byte magic + raw bytes is the same pattern the other §11 sections demonstrate: the language sits on top of the kernel boundary, not under it. No CUDA toolchain links into lumbda. No libcudart in asm's address space. Every cross-compute call is one (bend ...) form, one spawn, one wire frame. The wire format and the language are the same artifact, again — and now the artifact crosses the host/accelerator boundary too.

    +

    12. MOAD Audit: Fixing What We Built

    @@ -2907,6 +2963,7 @@ client port

  • lumbda.py's _tokenize_lines called src.count('\\n', 0, m.start()) per token to compute line numbers. O(N·M). Replaced with a single pass that builds a line_starts array, then bisects per token. O(M + N log M).

    • A third correctness fix landed after the portal-over-HTTP demo exposed it: lumbda.py's Env.lookup used to short-cut from the local frame directly to the global frame before walking intermediate parents. That was fast but wrong — a let-loop parameter named the same as a global builtin (count, a SRFI-1 procedure) got shadowed in reverse, the shortcut returned the global builtin instead of walking up to the loop's parameter frame. Fix: walk self → self.p → ... → global in order, without any shortcut. The inline cache at OP_LOOKUP was correspondingly tightened to validate the full chain before firing. 980 tests remained green.

    +

    Post-cycle audit (since 2026-04-24). Bend's wire protocol surfaced another sedimentary defect: wire.lsp's recv-exact accumulated bytes by repeatedly appending to a growing string, O(n²) over the whole receive. The 1 M-input binary benchmark exposed it — Python tier Scheme-level scaling went non-linear above ~100 k bytes. Fix: collect into a list and string-concat once at end, O(n). The same benchmark also forced honest huge-workload numbers across all three tiers: C-tier worker host ~9× faster than Python, binary mode 12× faster than host hashlib at 1 M inputs. Two correctness fixes landed alongside: asm scheme_read had a 256-byte input buffer that overflowed on long strings (#GP fault past 272 chars; fix raised the buffer and added a bounds check), and asm gc_sweep had a page-fault on chunk-abandonment when the bump pointer landed exactly at a chunk-end boundary (fix walks the chunk chain explicitly). A JIT correctness fix on the C tier — the bytecode VM had been clobbering cur_code across CALL/RETURN in named-let bodies, hanging the EML proof checker on the rewriter loop — restored the cross-tier proof timings in §8.3.

    Every release audit surfaces more. Writing new code is writing new sediment, unless the audit runs.

    @@ -2932,7 +2989,7 @@ client port

  • WebSocket / bidirectional: HTTP/1.0 is request-response; a persistent socket loop with framing brings full-duplex feedback.

  • Continuation-passing over HTTP: §11.5 moves bindings over HTTP. The next step is moving a live continuation — serialize it via call/cc + JSON portal, transmit, resume on the remote VM. Makes any TCP endpoint a trampoline target.

  • DAG-of-hot-paths predictive preload: §11.7's adaptive server ranks by raw frequency, which pins the top URLs but cannot predict which assets co-occur. A navigation DAG (edge weights = P(next = v | prev = u)) learned from referrer headers or session logs would let the boot-time preloader walk forward from seed nodes and warm everything within a predicted session depth. For deployments with > 1000 resources where the flat top-N is too narrow and full hot-caching is too wide, the DAG is the middle path. The frequency-only version in the repo today is designed to be the single-node degenerate case — a DAG with no edges.

    • -

  • GPU lambda execution: Map/reduce on CUDA for data-parallel Scheme (Phase 1), trampolining for recursive lambdas (Phase 2), interaction combinators for massive parallelism (Phase 3)

    • +

  • GPU lambda execution — Phase 1 shipped: Map/reduce on CUDA via (bend ...) is now in production (§4.3 fifth scope, §11.8 catalog of 27 forms — cuda-secp256k1, cuda-blake3-tree, cuda-radix-sort, cuda-bignum-cgbn, etc.). Phase 2 is trampolining for recursive lambdas — turning a (bend (lambda (n) ...)) into successive worker round-trips driven by call/cc, so a Scheme recursion can run entirely on the GPU side of the wire. Phase 3 is interaction combinators for massive parallelism — the same lambda calculus reductions implemented as GPU-resident graph rewrites, removing the host-side dispatcher from the inner loop.

  • Copying GC in asm: heap-snapshot is an escape hatch. A mark-and-copy collector would remove the sharp edge for general programs without forcing the programmer to reason about lifetimes.

  • Concurrent accept loop (asm): Currently single-threaded. A pre-forked worker model or SO_REUSEPORT pool would multiply throughput without changing the Scheme code.

  • Complex number arithmetic: Extending the numeric tower for the full EML derivation chain

    • @@ -2973,7 +3030,8 @@ client port

    Citation

    russell@unturf, TimeHexOn, foxhop, Zoë Trout. "Feedback Is All You Need."
 permacomputer.com, 2026.
-https://lumbda.com/lumbda-whitepaper.pdf
    +https://lumbda.com/lumbda-whitepaper.pdf +Source: https://git.unturf.com/engineering/unturf/lumbda

    References

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Every control) Tj T* 0 Tw .771223 Tw (flow pattern reduces to a continuation captured & invoked. Extend feedback across time \(portals\) & across) Tj T* 0 Tw 3.784395 Tw (implementations \(source-as-wire-format\) and you recover the full scope of computation without new) Tj T* 0 Tw (primitives.) Tj T* ET Q Q q -1 0 0 1 57.02362 687.0236 cm +1 0 0 1 57.02362 675.0236 cm q BT 1 0 0 1 0 14 Tm .312025 Tw 12 TL /F1 10 Tf 0 0 0 rg (Lumbda ships in ) Tj /F3 10 Tf (four implementation tiers) Tj /F1 10 Tf ( \227 each independently built, each MOAD-isolated, each able to) Tj T* 0 Tw (run every test in the shared functional suite byte-identically:) Tj T* ET Q Q q -1 0 0 1 57.02362 681.0236 cm +1 0 0 1 57.02362 669.0236 cm Q q -1 0 0 1 57.02362 681.0236 cm +1 0 0 1 57.02362 669.0236 cm Q q -1 0 0 1 57.02362 657.0236 cm +1 0 0 1 57.02362 645.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -1200,10 +1241,10 @@ Q Q Q q -1 0 0 1 57.02362 651.0236 cm +1 0 0 1 57.02362 639.0236 cm Q q -1 0 0 1 57.02362 639.0236 cm +1 0 0 1 57.02362 627.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -1225,10 +1266,10 @@ Q Q Q q -1 0 0 1 57.02362 633.0236 cm +1 0 0 1 57.02362 621.0236 cm Q q -1 0 0 1 57.02362 609.0236 cm +1 0 0 1 57.02362 597.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -1250,10 +1291,10 @@ Q Q Q q -1 0 0 1 57.02362 603.0236 cm +1 0 0 1 57.02362 591.0236 cm Q q -1 0 0 1 57.02362 399.0236 cm +1 0 0 1 57.02362 387.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -1356,97 +1397,103 @@ Q Q Q q -1 0 0 1 57.02362 381.0236 cm +1 0 0 1 57.02362 369.0236 cm Q q -1 0 0 1 57.02362 327.0236 cm +1 0 0 1 57.02362 315.0236 cm q BT 1 0 0 1 0 38 Tm .814168 Tw 12 TL /F1 10 Tf 0 0 0 rg (All three share one interchange format: ) Tj /F3 10 Tf (Scheme source itself) Tj /F1 10 Tf (. An S-expression portal \() Tj /F5 10 Tf (\(define) Tj ( ) Tj (x) Tj ( ) Tj (42\)) Tj /F1 10 Tf (\)) Tj T* 0 Tw .689272 Tw (written by any implementation loads in any other \227 a 3\3273 producer\327consumer matrix, 9/9 cells green. The) Tj T* 0 Tw .134417 Tw (language ) Tj /F4 10 Tf (is) Tj /F1 10 Tf ( the wire protocol. This is not a property we added; it is what a parser has always made possible.) Tj T* 0 Tw (We report it because most systems forget.) Tj T* ET Q Q q -1 0 0 1 57.02362 285.0236 cm +1 0 0 1 57.02362 273.0236 cm q BT 1 0 0 1 0 26 Tm 2.01589 Tw 12 TL /F3 10 Tf 0 0 0 rg (The numbers.) Tj /F1 10 Tf ( The asm implementation saves + resumes 4 variables across two processes in ) Tj /F3 10 Tf (1.5 ms) Tj /F1 10 Tf T* 0 Tw -0.051203 Tw (\(binary portal\) or ) Tj /F3 10 Tf (1.6 ms) Tj /F1 10 Tf ( \(S-expression portal\). Python round-trip on the same task: 260 ms. A 160\327 gap from) Tj T* 0 Tw (the same language, same tests, same wire format.) Tj T* ET Q Q q -1 0 0 1 57.02362 207.0236 cm +1 0 0 1 57.02362 195.0236 cm q BT 1 0 0 1 0 62 Tm 3.009029 Tw 12 TL /F3 10 Tf 0 0 0 rg (Web server, same story.) Tj /F1 10 Tf ( The asm implementation ships a TCP stack \() Tj /F5 10 Tf (tcp-listen) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (tcp-accept) Tj /F1 10 Tf (,) Tj T* 0 Tw 1.01985 Tw /F5 10 Tf (tcp-connect) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (tcp-recv) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (tcp-send) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (tcp-close) Tj /F1 10 Tf (\) and a portable 70-line HTTP/1.0 handler in Scheme.) Tj T* 0 Tw .40135 Tw (The same ) Tj /F5 10 Tf (.lsp) Tj /F1 10 Tf ( runs identically in all three impls. Asm server + asm client: ) Tj /F3 10 Tf (2,994 req/s) Tj /F1 10 Tf ( on a 1 KB body, 22) Tj T* 0 Tw 1.003647 Tw (KB binary, zero libc, seven Linux syscalls plus the socket family. For comparison: busybox httpd \(2.1 MB\)) Tj T* 0 Tw .109314 Tw (and ) Tj /F5 10 Tf (python3) Tj ( ) Tj (-m) Tj ( ) Tj (http.server) Tj /F1 10 Tf ( \(8 MB interpreter\) hit the same benchmark at 382 req/s under a curl client) Tj T* 0 Tw (and ~2,400 req/s under an in-process client.) Tj T* ET Q Q q -1 0 0 1 57.02362 129.0236 cm +1 0 0 1 57.02362 117.0236 cm q BT 1 0 0 1 0 62 Tm 3.182556 Tw 12 TL /F3 10 Tf 0 0 0 rg (S-expressions over sockets.) Tj /F1 10 Tf ( The wire protocol for a 90-line RPC server is one Scheme form per) Tj T* 0 Tw 1.692397 Tw (connection. With ) Tj /F5 10 Tf (read-from-string) Tj /F1 10 Tf ( and ) Tj /F5 10 Tf (eval) Tj /F1 10 Tf ( added to all three impls \(89 bytes of asm for ) Tj /F5 10 Tf (eval) Tj /F1 10 Tf (, a) Tj T* 0 Tw .615304 Tw (20-line asm reader swap for ) Tj /F5 10 Tf (read-from-string) Tj /F1 10 Tf (\), a transparent byte-forwarding relay composes arbitrary) Tj T* 0 Tw -0.093771 Tw (chains: a Python client can reach an asm backend through a C relay and a Python relay, four runtimes strung) Tj T* 0 Tw .231223 Tw (together without any format translation between hops. Each relay adds ~650 \265s/request on the same laptop.) Tj T* 0 Tw (The language is the envelope.) Tj T* ET Q Q q -1 0 0 1 57.02362 63.02362 cm +1 0 0 1 57.02362 75.02362 cm q -BT 1 0 0 1 0 50 Tm .901223 Tw 12 TL /F1 10 Tf 0 0 0 rg (980 verified assertions pass identically across the three implementations \(571 Python unit, 137 asm unit +) Tj T* 0 Tw .165522 Tw (integration + functional, 189 shared Python+C functional, 83 C unit\). The optional GC build passes the same) Tj T* 0 Tw 4.097565 Tw (137 asm tests independently, making it 1,117 assertions with both asm binaries exercised. Every) Tj T* 0 Tw -0.046281 Tw (implementation consumes every format it can reach; mismatch cases \(wrong format, truncated input, missing) Tj T* 0 Tw (file, corrupt header\) degrade gracefully with ) Tj /F5 10 Tf (#f) Tj /F1 10 Tf ( or a clean error.) Tj T* ET +BT 1 0 0 1 0 26 Tm .901223 Tw 12 TL /F1 10 Tf 0 0 0 rg (980 verified assertions pass identically across the three implementations \(571 Python unit, 137 asm unit +) Tj T* 0 Tw .165522 Tw (integration + functional, 189 shared Python+C functional, 83 C unit\). The optional GC build passes the same) Tj T* 0 Tw 4.097565 Tw (137 asm tests independently, making it 1,117 assertions with both asm binaries exercised. Every) Tj T* 0 Tw ET Q Q endstream endobj -150 0 obj +153 0 obj << -/Length 3452 +/Length 3777 >> stream 1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 717.0236 cm +1 0 0 1 57.02362 741.0236 cm +q +BT 1 0 0 1 0 14 Tm -0.046281 Tw 12 TL /F1 10 Tf 0 0 0 rg (implementation consumes every format it can reach; mismatch cases \(wrong format, truncated input, missing) Tj T* 0 Tw (file, corrupt header\) degrade gracefully with ) Tj /F5 10 Tf (#f) Tj /F1 10 Tf ( or a clean error.) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 687.0236 cm q BT 1 0 0 1 0 38 Tm .352397 Tw 12 TL /F1 10 Tf 0 0 0 rg (The paper further presents the EML universality proof: a single operator ) Tj /F5 10 Tf (eml\(x,) Tj ( ) Tj (y\)) Tj ( ) Tj (=) Tj ( ) Tj (exp\(x\)) Tj ( ) Tj (-) Tj ( ) Tj (ln\(y\)) Tj /F1 10 Tf T* 0 Tw .548453 Tw (with the constant 1 generates all elementary functions \(exp, ln, arithmetic, negation, complex plane access,) Tj T* 0 Tw -0.05811 Tw (trigonometry\). Verified numerically in Python, verified in Lumbda's own bytecode, & proven formally in Lean 4) Tj T* 0 Tw (with zero ) Tj /F5 10 Tf (sorry) Tj /F1 10 Tf (.) Tj T* ET Q Q q -1 0 0 1 57.02362 675.0236 cm +1 0 0 1 57.02362 645.0236 cm q 0 0 0 rg BT 1 0 0 1 0 26 Tm /F1 10 Tf 12 TL .70189 Tw (Feedback is the primitive. Continuations are its mechanism in time. Portals are its mechanism across time.) Tj T* 0 Tw -0.095138 Tw (S-expressions are its mechanism across implementations. Sockets are its mechanism across machines. One) Tj T* 0 Tw (file is the proof \227 by three translations.) Tj T* ET Q Q q -1 0 0 1 57.02362 635.8236 cm +1 0 0 1 57.02362 605.8236 cm q BT 1 0 0 1 0 3.2 Tm 72.19817 0 Td 19.2 TL /F2 16 Tf .133333 .133333 .133333 rg (1. The Problem: Interpreters That Cannot Feed Back) Tj T* -72.19817 0 Td ET Q Q q -1 0 0 1 57.02362 569.8236 cm +1 0 0 1 57.02362 539.8236 cm q BT 1 0 0 1 0 50 Tm 1.454556 Tw 12 TL /F1 10 Tf 0 0 0 rg (Most language implementations treat control flow as a tree of special cases. ) Tj /F5 10 Tf (if) Tj /F1 10 Tf ( branches. ) Tj /F5 10 Tf (while) Tj /F1 10 Tf ( loops.) Tj T* 0 Tw .47989 Tw /F5 10 Tf (return) Tj /F1 10 Tf ( exits. ) Tj /F5 10 Tf (try/catch) Tj /F1 10 Tf ( unwinds. Each form carries its own implementation, its own edge cases, its own) Tj T* 0 Tw 1.451147 Tw (interaction with the call stack. When you need a pattern that crosses these boundaries \(a generator that) Tj T* 0 Tw 3.669873 Tw (yields mid-loop, a coroutine that resumes from a checkpoint, a computation that migrates between) Tj T* 0 Tw (machines\), the tower of special cases collapses.) Tj T* ET Q Q q -1 0 0 1 57.02362 515.8236 cm +1 0 0 1 57.02362 485.8236 cm q BT 1 0 0 1 0 38 Tm .104917 Tw 12 TL /F1 10 Tf 0 0 0 rg (The insight: every control flow pattern is a special case of feedback. A loop feeds the tail position back to the) Tj T* 0 Tw 1.658797 Tw (head. A generator feeds a value out & a resumption point in. An exception feeds control to the nearest) Tj T* 0 Tw 1.518647 Tw (handler. A checkpoint feeds the entire machine state to storage. If the language exposes feedback as a) Tj T* 0 Tw (first-class primitive, all these patterns compose without special cases.) Tj T* ET Q Q q -1 0 0 1 57.02362 461.8236 cm +1 0 0 1 57.02362 431.8236 cm q BT 1 0 0 1 0 38 Tm 5.742038 Tw 12 TL /F1 10 Tf 0 0 0 rg (Scheme discovered this in 1975 with ) Tj /F5 10 Tf (call-with-current-continuation) Tj /F1 10 Tf (. But most Scheme) Tj T* 0 Tw .086835 Tw (implementations compromise: they limit continuations to escape-only, implement them via ) Tj /F5 10 Tf (setjmp) Tj /F1 10 Tf (/) Tj /F5 10 Tf (longjmp) Tj /F1 10 Tf T* 0 Tw .712256 Tw (on the C stack, or require CPS transformation that obscures the source. Lumbda takes a different path: an) Tj T* 0 Tw (explicit frame stack that makes continuations a data structure, not a stack manipulation trick.) Tj T* ET Q Q q -1 0 0 1 57.02362 422.6236 cm +1 0 0 1 57.02362 392.6236 cm q BT 1 0 0 1 0 3.2 Tm 105.7502 0 Td 19.2 TL /F2 16 Tf .133333 .133333 .133333 rg (2. Architecture: One File, Two Evaluators) Tj T* -105.7502 0 Td ET Q Q q -1 0 0 1 57.02362 408.6236 cm +1 0 0 1 57.02362 378.6236 cm Q endstream endobj -151 0 obj +154 0 obj << /Length 4914 >> @@ -1625,9 +1672,9 @@ Q endstream endobj -152 0 obj +155 0 obj << -/Length 6549 +/Length 6362 >> stream 1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET @@ -1732,31 +1779,31 @@ q 1 0 0 1 57.02362 681.0236 cm Q q -1 0 0 1 57.02362 651.0236 cm +1 0 0 1 57.02362 591.0236 cm q -BT 1 0 0 1 0 14 Tm .618556 Tw 12 TL /F1 10 Tf 0 0 0 rg (Exact rational arithmetic uses Python's ) Tj /F5 10 Tf (Fraction) Tj /F1 10 Tf ( type. ) Tj /F5 10 Tf (\(/) Tj ( ) Tj (1) Tj ( ) Tj (3\)) Tj /F1 10 Tf ( evaluates to ) Tj /F5 10 Tf (1/3) Tj /F1 10 Tf (, not ) Tj /F5 10 Tf (0.333...) Tj /F1 10 Tf (. Literal) Tj T* 0 Tw /F5 10 Tf (1/3) Tj /F1 10 Tf ( syntax parses directly to rationals.) Tj T* ET +BT 1 0 0 1 0 74 Tm .618556 Tw 12 TL /F1 10 Tf 0 0 0 rg (Exact rational arithmetic uses Python's ) Tj /F5 10 Tf (Fraction) Tj /F1 10 Tf ( type. ) Tj /F5 10 Tf (\(/) Tj ( ) Tj (1) Tj ( ) Tj (3\)) Tj /F1 10 Tf ( evaluates to ) Tj /F5 10 Tf (1/3) Tj /F1 10 Tf (, not ) Tj /F5 10 Tf (0.333...) Tj /F1 10 Tf (. Literal) Tj T* 0 Tw 4.501223 Tw /F5 10 Tf (1/3) Tj /F1 10 Tf ( syntax parses directly to rationals. The C tier carries the matching integer story through a) Tj T* 0 Tw 1.080596 Tw (runtime-promoted bignum: small integers stay tagged 63-bit ) Tj /F5 10 Tf (int64_t) Tj /F1 10 Tf ( on the fast path, and any operation) Tj T* 0 Tw .216835 Tw (that would overflow promotes to an arbitrary-precision representation \(Boehm-GC-managed\). The promotion) Tj T* 0 Tw .659387 Tw (is invisible to Scheme code \227 ) Tj /F5 10 Tf (\(expt) Tj ( ) Tj (2) Tj ( ) Tj (1024\)) Tj /F1 10 Tf ( returns the exact value across all three tiers. This is what) Tj T* 0 Tw .859272 Tw (unblocked the secp256k1 widths used by the \24711.8 GPU forms; the bend dispatcher would not have been) Tj T* 0 Tw (honest with cropped 64-bit arithmetic on the host side.) Tj T* ET Q Q q -1 0 0 1 57.02362 619.8236 cm +1 0 0 1 57.02362 559.8236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (2.2 The Bytecode) Tj T* ET Q Q q -1 0 0 1 57.02362 599.8236 cm +1 0 0 1 57.02362 539.8236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F1 10 Tf 0 0 0 rg (The compiler emits instructions as ) Tj /F5 10 Tf (\(opcode,) Tj ( ) Tj (operand\)) Tj /F1 10 Tf ( tuples into a ) Tj /F5 10 Tf (CodeObj) Tj /F1 10 Tf (:) Tj T* ET Q Q q -1 0 0 1 57.02362 581.8236 cm +1 0 0 1 57.02362 521.8236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F3 10 Tf 0 0 0 rg (Core opcodes) Tj /F1 10 Tf ( \(20\):) Tj T* ET Q Q q -1 0 0 1 57.02362 368.6236 cm +1 0 0 1 57.02362 308.6236 cm q q 1 0 0 1 0 0 cm @@ -1776,13 +1823,13 @@ Q Q Q q -1 0 0 1 57.02362 348.6236 cm +1 0 0 1 57.02362 288.6236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F3 10 Tf 0 0 0 rg (Specialized opcodes) Tj /F1 10 Tf ( \(20\):) Tj T* ET Q Q q -1 0 0 1 57.02362 269.8236 cm +1 0 0 1 57.02362 209.8236 cm q q 1 0 0 1 0 0 cm @@ -1803,33 +1850,33 @@ Q Q Q q -1 0 0 1 57.02362 237.8236 cm +1 0 0 1 57.02362 177.8236 cm q BT 1 0 0 1 0 14 Tm .370522 Tw 12 TL /F1 10 Tf 0 0 0 rg (Specialized opcodes avoid function call overhead for hot builtins. ) Tj /F5 10 Tf (\(+) Tj ( ) Tj (x) Tj ( ) Tj (1\)) Tj /F1 10 Tf ( compiles to ) Tj /F5 10 Tf (OP_ADD1) Tj /F1 10 Tf ( instead of) Tj T* 0 Tw /F5 10 Tf (OP_LOOKUP) Tj ( ) Tj ('+') Tj ( ) Tj (/) Tj ( ) Tj (OP_CONST) Tj ( ) Tj (1) Tj ( ) Tj (/) Tj ( ) Tj (OP_CALL) Tj /F1 10 Tf (.) Tj T* ET Q Q q -1 0 0 1 57.02362 198.6236 cm +1 0 0 1 57.02362 138.6236 cm q BT 1 0 0 1 0 3.2 Tm 150.6222 0 Td 19.2 TL /F2 16 Tf .133333 .133333 .133333 rg (3. The Explicit Frame Stack) Tj T* -150.6222 0 Td ET Q Q q -1 0 0 1 57.02362 180.6236 cm +1 0 0 1 57.02362 120.6236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (This is the architectural decision that makes everything else possible.) Tj T* ET Q Q q -1 0 0 1 57.02362 162.6236 cm +1 0 0 1 57.02362 102.6236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (Instead of using Python's call stack for Scheme function calls, the VM maintains its own frame stack:) Tj T* ET Q Q q -1 0 0 1 57.02362 131.8236 cm +1 0 0 1 57.02362 71.82362 cm q q 1 0 0 1 0 0 cm @@ -1849,20 +1896,29 @@ Q Q Q Q + +endstream +endobj +156 0 obj +<< +/Length 9488 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 111.8236 cm +1 0 0 1 57.02362 753.0236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F1 10 Tf 0 0 0 rg (When ) Tj /F5 10 Tf (OP_CALL) Tj /F1 10 Tf ( executes:) Tj T* ET Q Q q -1 0 0 1 57.02362 105.8236 cm +1 0 0 1 57.02362 747.0236 cm Q q -1 0 0 1 57.02362 105.8236 cm +1 0 0 1 57.02362 747.0236 cm Q q -1 0 0 1 57.02362 93.82362 cm +1 0 0 1 57.02362 735.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -1885,10 +1941,10 @@ Q Q Q q -1 0 0 1 57.02362 87.82362 cm +1 0 0 1 57.02362 729.0236 cm Q q -1 0 0 1 57.02362 75.82362 cm +1 0 0 1 57.02362 717.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -1910,19 +1966,10 @@ Q Q Q q -1 0 0 1 57.02362 69.82362 cm +1 0 0 1 57.02362 711.0236 cm Q - -endstream -endobj -153 0 obj -<< -/Length 8894 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 753.0236 cm +1 0 0 1 57.02362 699.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -1944,10 +1991,10 @@ Q Q Q q -1 0 0 1 57.02362 747.0236 cm +1 0 0 1 57.02362 693.0236 cm Q q -1 0 0 1 57.02362 735.0236 cm +1 0 0 1 57.02362 681.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -1970,10 +2017,10 @@ Q Q Q q -1 0 0 1 57.02362 729.0236 cm +1 0 0 1 57.02362 675.0236 cm Q q -1 0 0 1 57.02362 717.0236 cm +1 0 0 1 57.02362 663.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -1996,22 +2043,22 @@ Q Q Q q -1 0 0 1 57.02362 717.0236 cm +1 0 0 1 57.02362 663.0236 cm Q q -1 0 0 1 57.02362 699.0236 cm +1 0 0 1 57.02362 645.0236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F1 10 Tf 0 0 0 rg (When ) Tj /F5 10 Tf (OP_RETURN) Tj /F1 10 Tf ( executes:) Tj T* ET Q Q q -1 0 0 1 57.02362 693.0236 cm +1 0 0 1 57.02362 639.0236 cm Q q -1 0 0 1 57.02362 693.0236 cm +1 0 0 1 57.02362 639.0236 cm Q q -1 0 0 1 57.02362 681.0236 cm +1 0 0 1 57.02362 627.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -2033,10 +2080,10 @@ Q Q Q q -1 0 0 1 57.02362 675.0236 cm +1 0 0 1 57.02362 621.0236 cm Q q -1 0 0 1 57.02362 663.0236 cm +1 0 0 1 57.02362 609.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -2058,16 +2105,16 @@ Q Q Q q -1 0 0 1 57.02362 663.0236 cm +1 0 0 1 57.02362 609.0236 cm Q q -1 0 0 1 57.02362 633.0236 cm +1 0 0 1 57.02362 579.0236 cm q BT 1 0 0 1 0 14 Tm 2.331529 Tw 12 TL /F3 10 Tf 0 0 0 rg (Tail-call optimization) Tj /F1 10 Tf ( follows naturally: ) Tj /F5 10 Tf (OP_TAIL_CALL) Tj /F1 10 Tf ( skips step 2. It replaces the current activation) Tj T* 0 Tw (record instead of pushing a new one. Tail-recursive loops of arbitrary depth consume constant memory.) Tj T* ET Q Q q -1 0 0 1 57.02362 592.6236 cm +1 0 0 1 57.02362 538.6236 cm q q 1 0 0 1 0 0 cm @@ -2088,26 +2135,26 @@ Q Q Q q -1 0 0 1 57.02362 548.6236 cm +1 0 0 1 57.02362 494.6236 cm q BT 1 0 0 1 0 26 Tm .144609 Tw 12 TL /F3 10 Tf 0 0 0 rg (Why this matters) Tj /F1 10 Tf (: Python's default recursion limit is 1,000 frames. A Scheme that uses the Python stack for) Tj T* 0 Tw -0.073228 Tw (Scheme calls inherits this limit. The explicit frame stack removes it. Lumbda can recurse 50,000 deep without) Tj T* 0 Tw (difficulty, limited only by available memory.) Tj T* ET Q Q q -1 0 0 1 57.02362 509.4236 cm +1 0 0 1 57.02362 455.4236 cm q BT 1 0 0 1 0 3.2 Tm 90.19017 0 Td 19.2 TL /F2 16 Tf .133333 .133333 .133333 rg (4. Continuations: Feedback as a Data Structure) Tj T* -90.19017 0 Td ET Q Q q -1 0 0 1 57.02362 491.4236 cm +1 0 0 1 57.02362 437.4236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (With an explicit frame stack, capturing a continuation becomes copying a data structure:) Tj T* ET Q Q q -1 0 0 1 57.02362 403.0236 cm +1 0 0 1 57.02362 349.0236 cm q q 1 0 0 1 0 0 cm @@ -2128,19 +2175,19 @@ Q Q Q q -1 0 0 1 57.02362 383.0236 cm +1 0 0 1 57.02362 329.0236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F1 10 Tf 0 0 0 rg (When ) Tj /F5 10 Tf (OP_CALL_CC) Tj /F1 10 Tf ( executes:) Tj T* ET Q Q q -1 0 0 1 57.02362 377.0236 cm +1 0 0 1 57.02362 323.0236 cm Q q -1 0 0 1 57.02362 377.0236 cm +1 0 0 1 57.02362 323.0236 cm Q q -1 0 0 1 57.02362 353.0236 cm +1 0 0 1 57.02362 299.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -2162,10 +2209,10 @@ Q Q Q q -1 0 0 1 57.02362 347.0236 cm +1 0 0 1 57.02362 293.0236 cm Q q -1 0 0 1 57.02362 335.0236 cm +1 0 0 1 57.02362 281.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -2187,10 +2234,10 @@ Q Q Q q -1 0 0 1 57.02362 329.0236 cm +1 0 0 1 57.02362 275.0236 cm Q q -1 0 0 1 57.02362 317.0236 cm +1 0 0 1 57.02362 263.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -2212,10 +2259,10 @@ Q Q Q q -1 0 0 1 57.02362 311.0236 cm +1 0 0 1 57.02362 257.0236 cm Q q -1 0 0 1 57.02362 299.0236 cm +1 0 0 1 57.02362 245.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -2237,10 +2284,10 @@ Q Q Q q -1 0 0 1 57.02362 293.0236 cm +1 0 0 1 57.02362 239.0236 cm Q q -1 0 0 1 57.02362 281.0236 cm +1 0 0 1 57.02362 227.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -2263,23 +2310,23 @@ Q Q Q q -1 0 0 1 57.02362 281.0236 cm +1 0 0 1 57.02362 227.0236 cm Q q -1 0 0 1 57.02362 263.0236 cm +1 0 0 1 57.02362 209.0236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (When a continuation is invoked:) Tj T* ET Q Q q -1 0 0 1 57.02362 257.0236 cm +1 0 0 1 57.02362 203.0236 cm Q q -1 0 0 1 57.02362 257.0236 cm +1 0 0 1 57.02362 203.0236 cm Q q -1 0 0 1 57.02362 245.0236 cm +1 0 0 1 57.02362 191.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -2301,10 +2348,10 @@ Q Q Q q -1 0 0 1 57.02362 239.0236 cm +1 0 0 1 57.02362 185.0236 cm Q q -1 0 0 1 57.02362 227.0236 cm +1 0 0 1 57.02362 173.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -2326,10 +2373,10 @@ Q Q Q q -1 0 0 1 57.02362 221.0236 cm +1 0 0 1 57.02362 167.0236 cm Q q -1 0 0 1 57.02362 209.0236 cm +1 0 0 1 57.02362 155.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -2351,10 +2398,10 @@ Q Q Q q -1 0 0 1 57.02362 203.0236 cm +1 0 0 1 57.02362 149.0236 cm Q q -1 0 0 1 57.02362 191.0236 cm +1 0 0 1 57.02362 137.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -2377,10 +2424,10 @@ Q Q Q q -1 0 0 1 57.02362 185.0236 cm +1 0 0 1 57.02362 131.0236 cm Q q -1 0 0 1 57.02362 173.0236 cm +1 0 0 1 57.02362 119.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -2403,37 +2450,37 @@ Q Q Q q -1 0 0 1 57.02362 173.0236 cm +1 0 0 1 57.02362 119.0236 cm Q q -1 0 0 1 57.02362 131.0236 cm +1 0 0 1 57.02362 77.02362 cm q BT 1 0 0 1 0 26 Tm .35131 Tw 12 TL /F3 10 Tf 0 0 0 rg (Multi-shot continuations) Tj /F1 10 Tf (: Because the state is deep-copied at capture time, a continuation can be invoked) Tj T* 0 Tw .07131 Tw (multiple times. Each invocation restores an independent copy of the machine state. This enables generators,) Tj T* 0 Tw (coroutines, & backtracking search.) Tj T* ET Q Q -q -1 0 0 1 57.02362 99.82362 cm -q -BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (4.1 Generators from Continuations) Tj T* ET -Q -Q -q -1 0 0 1 57.02362 79.82362 cm -q -BT 1 0 0 1 0 2 Tm 12 TL /F1 10 Tf 0 0 0 rg (A generator in Lumbda uses ) Tj /F5 10 Tf (call/cc) Tj /F1 10 Tf ( to yield values & resume later:) Tj T* ET -Q -Q endstream endobj -154 0 obj +157 0 obj << -/Length 9202 +/Length 9356 >> stream 1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 588.6236 cm +1 0 0 1 57.02362 751.8236 cm +q +BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (4.1 Generators from Continuations) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 731.8236 cm +q +BT 1 0 0 1 0 2 Tm 12 TL /F1 10 Tf 0 0 0 rg (A generator in Lumbda uses ) Tj /F5 10 Tf (call/cc) Tj /F1 10 Tf ( to yield values & resume later:) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 547.4236 cm q q 1 0 0 1 0 0 cm @@ -2453,32 +2500,32 @@ Q Q Q q -1 0 0 1 57.02362 556.6236 cm +1 0 0 1 57.02362 515.4236 cm q BT 1 0 0 1 0 14 Tm 4.875696 Tw 12 TL /F1 10 Tf 0 0 0 rg (No special generator syntax. No coroutine framework. The same ) Tj /F5 10 Tf (call/cc) Tj /F1 10 Tf ( that handles escape) Tj T* 0 Tw (continuations also handles cooperative multitasking, because feedback is feedback.) Tj T* ET Q Q q -1 0 0 1 57.02362 525.4236 cm +1 0 0 1 57.02362 484.2236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (4.2 Why "Feedback Is All You Need") Tj T* ET Q Q q -1 0 0 1 57.02362 505.4236 cm +1 0 0 1 57.02362 464.2236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (Every control flow pattern reduces to a continuation operation:) Tj T* ET Q Q q -1 0 0 1 57.02362 499.4236 cm +1 0 0 1 57.02362 458.2236 cm Q q -1 0 0 1 57.02362 499.4236 cm +1 0 0 1 57.02362 458.2236 cm Q q -1 0 0 1 57.02362 487.4236 cm +1 0 0 1 57.02362 446.2236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -2500,10 +2547,10 @@ Q Q Q q -1 0 0 1 57.02362 481.4236 cm +1 0 0 1 57.02362 440.2236 cm Q q -1 0 0 1 57.02362 469.4236 cm +1 0 0 1 57.02362 428.2236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -2525,10 +2572,10 @@ Q Q Q q -1 0 0 1 57.02362 463.4236 cm +1 0 0 1 57.02362 422.2236 cm Q q -1 0 0 1 57.02362 451.4236 cm +1 0 0 1 57.02362 410.2236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -2550,10 +2597,10 @@ Q Q Q q -1 0 0 1 57.02362 445.4236 cm +1 0 0 1 57.02362 404.2236 cm Q q -1 0 0 1 57.02362 433.4236 cm +1 0 0 1 57.02362 392.2236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -2575,10 +2622,10 @@ Q Q Q q -1 0 0 1 57.02362 427.4236 cm +1 0 0 1 57.02362 386.2236 cm Q q -1 0 0 1 57.02362 415.4236 cm +1 0 0 1 57.02362 374.2236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -2600,10 +2647,10 @@ Q Q Q q -1 0 0 1 57.02362 409.4236 cm +1 0 0 1 57.02362 368.2236 cm Q q -1 0 0 1 57.02362 385.4236 cm +1 0 0 1 57.02362 344.2236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -2625,10 +2672,10 @@ Q Q Q q -1 0 0 1 57.02362 379.4236 cm +1 0 0 1 57.02362 338.2236 cm Q q -1 0 0 1 57.02362 367.4236 cm +1 0 0 1 57.02362 326.2236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -2650,69 +2697,71 @@ Q Q Q q -1 0 0 1 57.02362 349.4236 cm +1 0 0 1 57.02362 308.2236 cm Q q -1 0 0 1 57.02362 331.4236 cm +1 0 0 1 57.02362 290.2236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (One primitive. Every pattern.) Tj T* ET Q Q q -1 0 0 1 57.02362 300.2236 cm +1 0 0 1 57.02362 259.0236 cm q -BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (4.3 Four Scopes of Feedback) Tj T* ET +BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (4.3 Five Scopes of Feedback) Tj T* ET Q Q q -1 0 0 1 57.02362 280.2236 cm +1 0 0 1 57.02362 239.0236 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (The single word "feedback" covers four nested scopes, each giving rise to one of our core abstractions:) Tj T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (The single word "feedback" covers five nested scopes, each giving rise to one of our core abstractions:) Tj T* ET Q Q q -1 0 0 1 57.02362 274.2236 cm +1 0 0 1 57.02362 233.0236 cm Q q -1 0 0 1 57.02362 184.2236 cm +1 0 0 1 57.02362 125.0236 cm q 1 1 1 rg +n 0 108 481.2283 -18 re f* +.878431 .878431 .878431 rg n 0 90 481.2283 -18 re f* -.878431 .878431 .878431 rg +1 1 1 rg n 0 72 481.2283 -18 re f* -1 1 1 rg -n 0 54 481.2283 -18 re f* .878431 .878431 .878431 rg -n 0 36 481.2283 -18 re f* +n 0 54 481.2283 -18 re f* 1 1 1 rg +n 0 36 481.2283 -18 re f* +.878431 .878431 .878431 rg n 0 18 481.2283 -18 re f* 0 0 0 rg BT /F3 10 Tf 12 TL ET q -1 0 0 1 6 75 cm +1 0 0 1 6 93 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 24.11016 0 Td (Scope) Tj T* -24.11016 0 Td ET Q Q q -1 0 0 1 96.23031 75 cm +1 0 0 1 96.23031 93 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 31.93634 0 Td (Mechanism) Tj T* -31.93634 0 Td ET Q Q q -1 0 0 1 226.563 75 cm +1 0 0 1 226.563 93 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 28.60634 0 Td (Unit of travel) Tj T* -28.60634 0 Td ET Q Q q -1 0 0 1 356.8957 75 cm +1 0 0 1 356.8957 93 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 22.21634 0 Td (Implementation) Tj T* -22.21634 0 Td ET @@ -2721,185 +2770,248 @@ Q 0 0 0 rg BT /F1 10 Tf 12 TL ET q -1 0 0 1 6 57 cm +1 0 0 1 6 75 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (Within process) Tj T* ET Q Q q -1 0 0 1 96.23031 57 cm +1 0 0 1 96.23031 75 cm q BT 1 0 0 1 0 2 Tm 12 TL /F5 10 Tf 0 0 0 rg (call/cc) Tj /F1 10 Tf (, tail-call) Tj T* ET Q Q q -1 0 0 1 226.563 57 cm +1 0 0 1 226.563 75 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (continuation \(live\)) Tj T* ET Q Q q -1 0 0 1 356.8957 57 cm +1 0 0 1 356.8957 75 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (explicit frame stack) Tj T* ET Q Q q -1 0 0 1 6 39 cm +1 0 0 1 6 57 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (Across process) Tj T* ET Q Q q -1 0 0 1 96.23031 39 cm +1 0 0 1 96.23031 57 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (portal \(JSON or binary\)) Tj T* ET Q Q q -1 0 0 1 226.563 39 cm +1 0 0 1 226.563 57 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (VM state + continuation) Tj T* ET Q Q q -1 0 0 1 356.8957 39 cm +1 0 0 1 356.8957 57 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (graph serializer) Tj T* ET Q Q q -1 0 0 1 6 21 cm +1 0 0 1 6 39 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (Across impl) Tj T* ET Q Q q -1 0 0 1 96.23031 21 cm +1 0 0 1 96.23031 39 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (source-as-interchange) Tj T* ET Q Q q -1 0 0 1 226.563 21 cm +1 0 0 1 226.563 39 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (bindings \(as data\)) Tj T* ET Q Q q -1 0 0 1 356.8957 21 cm +1 0 0 1 356.8957 39 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (the reader) Tj T* ET Q Q q -1 0 0 1 6 3 cm +1 0 0 1 6 21 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (Across machine) Tj T* ET Q Q q -1 0 0 1 96.23031 3 cm +1 0 0 1 96.23031 21 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (TCP sockets) Tj T* ET Q Q q -1 0 0 1 226.563 3 cm +1 0 0 1 226.563 21 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (request / response bytes) Tj T* ET Q Q q -1 0 0 1 356.8957 3 cm +1 0 0 1 356.8957 21 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (six tcp-* primitives) Tj T* ET Q Q q +1 0 0 1 6 3 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (Across compute) Tj T* ET +Q +Q +q +1 0 0 1 96.23031 3 cm +q +BT 1 0 0 1 0 2 Tm 12 TL /F5 10 Tf 0 0 0 rg (\(bend) Tj ( ) Tj (...\)) Tj T* ET +Q +Q +q +1 0 0 1 226.563 3 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (call shipped to worker) Tj T* ET +Q +Q +q +1 0 0 1 356.8957 3 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (wire protocol + spawn) Tj T* ET +Q +Q +q 1 J 1 j 0 0 0 RG .25 w +n 0 90 m 481.2283 90 l S n 0 72 m 481.2283 72 l S n 0 54 m 481.2283 54 l S n 0 36 m 481.2283 36 l S n 0 18 m 481.2283 18 l S -n 90.23031 0 m 90.23031 90 l S -n 220.563 0 m 220.563 90 l S -n 350.8957 0 m 350.8957 90 l S -n 0 90 m 481.2283 90 l S +n 90.23031 0 m 90.23031 108 l S +n 220.563 0 m 220.563 108 l S +n 350.8957 0 m 350.8957 108 l S +n 0 108 m 481.2283 108 l S n 0 0 m 481.2283 0 l S -n 0 0 m 0 90 l S -n 481.2283 0 m 481.2283 90 l S +n 0 0 m 0 108 l S +n 481.2283 0 m 481.2283 108 l S Q Q Q q -1 0 0 1 57.02362 184.2236 cm +1 0 0 1 57.02362 125.0236 cm Q q -1 0 0 1 57.02362 106.2236 cm +1 0 0 1 57.02362 71.02362 cm q -BT 1 0 0 1 0 62 Tm .519908 Tw 12 TL /F1 10 Tf 0 0 0 rg (Within a single VM, a continuation is the unit \227 the whole call stack, captured & passed. Across processes) Tj T* 0 Tw 1.828917 Tw (on the same machine, a portal is the unit \227 the whole heap or VM state, serialized to a file, resumed) Tj T* 0 Tw 2.175257 Tw (elsewhere. Across implementations that share no binary compatibility, Scheme source itself is the unit:) Tj T* 0 Tw 1.27989 Tw /F5 10 Tf (\(define) Tj ( ) Tj (x) Tj ( ) Tj (42\)) Tj /F1 10 Tf ( travels because every parser already knows how to receive it. Across machines, bytes) Tj T* 0 Tw -0.111031 Tw (over a socket are the unit \227 an HTTP request is feedback to a peer, a response is feedback back. The HTTP) Tj T* 0 Tw (handler is 70 lines of portable Scheme that runs byte-identical in all three runtimes.) Tj T* ET -Q -Q -q -1 0 0 1 57.02362 64.22362 cm -q -BT 1 0 0 1 0 26 Tm .158138 Tw 12 TL /F1 10 Tf 0 0 0 rg (The same abstraction, at four scopes. No new primitive at any level \227 each scope adds one implementation) Tj T* 0 Tw 1.356019 Tw (primitive \() Tj /F5 10 Tf (call/cc) Tj /F1 10 Tf ( / portal / reader / socket\) and keeps the semantics. This is what "feedback is all you) Tj T* 0 Tw (need" actually means once you extend it past the process boundary.) Tj T* ET +BT 1 0 0 1 0 38 Tm .519908 Tw 12 TL /F1 10 Tf 0 0 0 rg (Within a single VM, a continuation is the unit \227 the whole call stack, captured & passed. Across processes) Tj T* 0 Tw 1.828917 Tw (on the same machine, a portal is the unit \227 the whole heap or VM state, serialized to a file, resumed) Tj T* 0 Tw 2.175257 Tw (elsewhere. Across implementations that share no binary compatibility, Scheme source itself is the unit:) Tj T* 0 Tw 1.27989 Tw /F5 10 Tf (\(define) Tj ( ) Tj (x) Tj ( ) Tj (42\)) Tj /F1 10 Tf ( travels because every parser already knows how to receive it. Across machines, bytes) Tj T* 0 Tw ET Q Q endstream endobj -155 0 obj +158 0 obj << -/Length 8835 +/Length 6221 >> stream 1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 745.8236 cm +1 0 0 1 57.02362 693.0236 cm +q +BT 1 0 0 1 0 62 Tm .661417 Tw 12 TL /F1 10 Tf 0 0 0 rg (over a socket are the unit \227 an HTTP request is feedback to a peer, a response is feedback back. Across) Tj T* 0 Tw .066575 Tw (heterogeneous compute \(CPU ) Tj /F6 10 Tf 12 TL (\253) Tj /F1 10 Tf 12 TL ( GPU\), a single ) Tj /F5 10 Tf (\(bend) Tj ( ) Tj (...\)) Tj /F1 10 Tf ( call is the unit \227 the runtime decides per call) Tj T* 0 Tw .180464 Tw (whether the form evaluates locally or ships to a CUDA worker, and the answer feeds back through the same) Tj T* 0 Tw 1.292556 Tw (protocol the cross-machine and cross-impl scopes already use. The HTTP handler is 70 lines of portable) Tj T* 0 Tw 1.039903 Tw (Scheme that runs byte-identical in all three runtimes; the bend dispatcher is built on the same socket and) Tj T* 0 Tw (portal primitives.) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 615.0236 cm +q +BT 1 0 0 1 0 62 Tm .256373 Tw 12 TL /F1 10 Tf 0 0 0 rg (The same abstraction, at five scopes. No new primitive at any level \227 each scope adds one implementation) Tj T* 0 Tw 1.971079 Tw (primitive \() Tj /F5 10 Tf (call/cc) Tj /F1 10 Tf ( / portal / reader / socket / bend dispatcher\) and keeps the semantics. This is what) Tj T* 0 Tw 3.229897 Tw ("feedback is all you need" actually means once you extend it past the process boundary, past the) Tj T* 0 Tw 2.364395 Tw (implementation boundary, past the machine boundary, and now past the host-vs-accelerator boundary.) Tj T* 0 Tw -0.037314 Tw (\24711.8 covers the wire protocol and the catalog of GPU forms surfaced through bend; this section just plants it) Tj T* 0 Tw (as the fifth scope.) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 607.0236 cm +Q +q +1 0 0 1 57.02362 403.8895 cm +q +0 0 0 rg +BT /F1 10 Tf 12 TL ET +q +1 0 0 1 17.73071 57 cm +q +445.7669 0 0 143.1342 0 0 cm +/FormXob.cca7e07ed697f23673890a353064e86e Do +Q +Q +q +1 0 0 1 6 3 cm +q +0 0 0 rg +BT 1 0 0 1 0 38 Tm /F4 10 Tf 12 TL -0.025103 Tw (Five scopes of feedback as concentric crossings. Each row names what travels, the mechanism that lets it) Tj T* 0 Tw -0.024803 Tw (travel, and the cluster colour follows through the rest of the paper \227 blue for within-process \(\2473-\2475\), green) Tj T* 0 Tw 32.88417 0 Td (for across-process portal \(\2477\), amber for across-impl source-as-data \(\24711.1-\24711.4\), pink for) Tj T* 24.715 0 Td (across-machine sockets \(\24711.3-\24711.5\), purple for across-compute bend \(\24711.8\).) Tj T* -57.59917 0 Td ET +Q +Q +q +Q +Q +Q +q +1 0 0 1 57.02362 395.8895 cm +Q +q +1 0 0 1 57.02362 356.6895 cm q BT 1 0 0 1 0 3.2 Tm 187.2782 0 Td 19.2 TL /F2 16 Tf .133333 .133333 .133333 rg (5. Optimizations) Tj T* -187.2782 0 Td ET Q Q q -1 0 0 1 57.02362 714.6236 cm +1 0 0 1 57.02362 325.4895 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (5.1 Peephole Optimizer) Tj T* ET Q Q q -1 0 0 1 57.02362 694.6236 cm +1 0 0 1 57.02362 305.4895 cm q BT 1 0 0 1 0 2 Tm 12 TL /F1 10 Tf 0 0 0 rg (The ) Tj /F5 10 Tf (_peephole) Tj /F1 10 Tf ( function runs over every compiled procedure after bytecode generation:) Tj T* ET Q Q q -1 0 0 1 57.02362 688.6236 cm +1 0 0 1 57.02362 299.4895 cm Q q -1 0 0 1 57.02362 688.6236 cm +1 0 0 1 57.02362 299.4895 cm Q q -1 0 0 1 57.02362 676.6236 cm +1 0 0 1 57.02362 287.4895 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -2921,10 +3033,10 @@ Q Q Q q -1 0 0 1 57.02362 670.6236 cm +1 0 0 1 57.02362 281.4895 cm Q q -1 0 0 1 57.02362 658.6236 cm +1 0 0 1 57.02362 269.4895 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -2946,10 +3058,10 @@ Q Q Q q -1 0 0 1 57.02362 652.6236 cm +1 0 0 1 57.02362 263.4895 cm Q q -1 0 0 1 57.02362 640.6236 cm +1 0 0 1 57.02362 251.4895 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -2971,10 +3083,10 @@ Q Q Q q -1 0 0 1 57.02362 634.6236 cm +1 0 0 1 57.02362 245.4895 cm Q q -1 0 0 1 57.02362 610.6236 cm +1 0 0 1 57.02362 221.4895 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -2996,34 +3108,34 @@ Q Q Q q -1 0 0 1 57.02362 592.6236 cm +1 0 0 1 57.02362 203.4895 cm Q q -1 0 0 1 57.02362 561.4236 cm +1 0 0 1 57.02362 172.2895 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (5.2 Inline Cache) Tj T* ET Q Q q -1 0 0 1 57.02362 517.4236 cm +1 0 0 1 57.02362 128.2895 cm q BT 1 0 0 1 0 26 Tm 1.884556 Tw 12 TL /F1 10 Tf 0 0 0 rg (Variable lookup in a chain of lexical environments requires walking from the current environment to the) Tj T* 0 Tw 2.510642 Tw (global. For frequently accessed global variables \(builtins like ) Tj /F5 10 Tf (+) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (car) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (null?) Tj /F1 10 Tf (\), this traversal dominates) Tj T* 0 Tw (execution time.) Tj T* ET Q Q q -1 0 0 1 57.02362 487.4236 cm +1 0 0 1 57.02362 98.28945 cm q BT 1 0 0 1 0 14 Tm 5.885372 Tw 12 TL /F1 10 Tf 0 0 0 rg (The inline cache tracks ) Tj /F5 10 Tf (instruction_index) Tj ( ) Tj /F6 10 Tf 12 TL (\256) Tj /F5 10 Tf 12 TL ( ) Tj (\(cached_env,) Tj ( ) Tj (cached_value\)) Tj /F1 10 Tf ( pairs. On) Tj T* 0 Tw /F5 10 Tf (OP_LOOKUP) Tj /F1 10 Tf (:) Tj T* ET Q Q q -1 0 0 1 57.02362 481.4236 cm +1 0 0 1 57.02362 92.28945 cm Q q -1 0 0 1 57.02362 481.4236 cm +1 0 0 1 57.02362 92.28945 cm Q q -1 0 0 1 57.02362 469.4236 cm +1 0 0 1 57.02362 80.28945 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -3046,10 +3158,19 @@ Q Q Q q -1 0 0 1 57.02362 463.4236 cm +1 0 0 1 57.02362 74.28945 cm Q + +endstream +endobj +159 0 obj +<< +/Length 9800 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 451.4236 cm +1 0 0 1 57.02362 753.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -3072,10 +3193,10 @@ Q Q Q q -1 0 0 1 57.02362 445.4236 cm +1 0 0 1 57.02362 747.0236 cm Q q -1 0 0 1 57.02362 433.4236 cm +1 0 0 1 57.02362 735.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -3098,10 +3219,10 @@ Q Q Q q -1 0 0 1 57.02362 427.4236 cm +1 0 0 1 57.02362 729.0236 cm Q q -1 0 0 1 57.02362 415.4236 cm +1 0 0 1 57.02362 717.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -3123,30 +3244,30 @@ Q Q Q q -1 0 0 1 57.02362 415.4236 cm +1 0 0 1 57.02362 717.0236 cm Q q -1 0 0 1 57.02362 385.4236 cm +1 0 0 1 57.02362 687.0236 cm q 0 0 0 rg BT 1 0 0 1 0 14 Tm /F1 10 Tf 12 TL .747025 Tw (This optimization targets the common case: inner loops that reference global functions thousands of times.) Tj T* 0 Tw (The cache stays valid as long as the binding is not shadowed locally.) Tj T* ET Q Q q -1 0 0 1 57.02362 354.2236 cm +1 0 0 1 57.02362 655.8236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (5.3 Constant Folding) Tj T* ET Q Q q -1 0 0 1 57.02362 334.2236 cm +1 0 0 1 57.02362 635.8236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (The compiler evaluates pure expressions at compile time:) Tj T* ET Q Q q -1 0 0 1 57.02362 284.2236 cm +1 0 0 1 57.02362 585.8236 cm q q 1 0 0 1 0 0 cm @@ -3166,43 +3287,43 @@ Q Q Q q -1 0 0 1 57.02362 252.2236 cm +1 0 0 1 57.02362 553.8236 cm q BT 1 0 0 1 0 14 Tm .949897 Tw 12 TL /F1 10 Tf 0 0 0 rg (Supported foldable operations: ) Tj /F5 10 Tf (+) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (-) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (*) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (=) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (<) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (>) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (<) Tj (=) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (>) Tj (=) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (not) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (zero?) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (positive?) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (negative?) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (abs) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (min) Tj /F1 10 Tf (,) Tj T* 0 Tw /F5 10 Tf (max) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (string-length) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (string-append) Tj /F1 10 Tf (.) Tj T* ET Q Q q -1 0 0 1 57.02362 222.2236 cm +1 0 0 1 57.02362 523.8236 cm q BT 1 0 0 1 0 14 Tm .584272 Tw 12 TL /F1 10 Tf 0 0 0 rg (Folding only applies when all operands are compile-time constants & the function name is not shadowed in) Tj T* 0 Tw (the compilation environment.) Tj T* ET Q Q q -1 0 0 1 57.02362 183.0236 cm +1 0 0 1 57.02362 484.6236 cm q BT 1 0 0 1 0 3.2 Tm 94.40617 0 Td 19.2 TL /F2 16 Tf .133333 .133333 .133333 rg (6. Benchmarks: Three Evaluators vs CPython) Tj T* -94.40617 0 Td ET Q Q q -1 0 0 1 57.02362 117.0236 cm +1 0 0 1 57.02362 418.6236 cm q BT 1 0 0 1 0 50 Tm .344897 Tw 12 TL /F3 10 Tf 0 0 0 rg (Methodology.) Tj /F1 10 Tf ( All benchmarks in this paper run on a single laptop: ) Tj /F3 10 Tf (Intel Core i5-8350U \(8th-gen mobile, 4) Tj T* 0 Tw .582256 Tw (cores / 8 threads, 1.70 GHz base\)) Tj /F1 10 Tf (, Ubuntu 24.04, Linux 6.17, gcc 13.3, GNU assembler 2.42 \(GAS AT) Tj (&) Tj (T) Tj T* 0 Tw 3.514029 Tw (syntax\), Python 3.12. Loopback TCP for all socket benchmarks. Three columns below: tree-walking) Tj T* 0 Tw .177565 Tw (interpreter \() Tj /F5 10 Tf (leval) Tj /F1 10 Tf (\), bytecode VM \() Tj /F5 10 Tf (--fast) Tj /F1 10 Tf (\), & equivalent CPython. Times are best-of-3 in milliseconds. The) Tj T* 0 Tw (same hardware is used for the HTTP, RPC, chain, and portal-over-HTTP benchmarks reported later in \24711.) Tj T* ET Q Q q -1 0 0 1 57.02362 99.02362 cm +1 0 0 1 57.02362 400.6236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F3 10 Tf 0 0 0 rg (Reproducibility.) Tj /F1 10 Tf ( Every benchmark in the paper has a Makefile target:) Tj T* ET Q Q q -1 0 0 1 57.02362 93.02362 cm +1 0 0 1 57.02362 394.6236 cm Q q -1 0 0 1 57.02362 93.02362 cm +1 0 0 1 57.02362 394.6236 cm Q q -1 0 0 1 57.02362 81.02362 cm +1 0 0 1 57.02362 382.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -3224,10 +3345,10 @@ Q Q Q q -1 0 0 1 57.02362 75.02362 cm +1 0 0 1 57.02362 376.6236 cm Q q -1 0 0 1 57.02362 63.02362 cm +1 0 0 1 57.02362 364.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -3249,19 +3370,10 @@ Q Q Q q -1 0 0 1 57.02362 62.69291 cm +1 0 0 1 57.02362 358.6236 cm Q - -endstream -endobj -156 0 obj -<< -/Length 12932 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 753.0236 cm +1 0 0 1 57.02362 346.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -3283,10 +3395,10 @@ Q Q Q q -1 0 0 1 57.02362 747.0236 cm +1 0 0 1 57.02362 340.6236 cm Q q -1 0 0 1 57.02362 735.0236 cm +1 0 0 1 57.02362 328.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -3308,10 +3420,10 @@ Q Q Q q -1 0 0 1 57.02362 729.0236 cm +1 0 0 1 57.02362 322.6236 cm Q q -1 0 0 1 57.02362 717.0236 cm +1 0 0 1 57.02362 310.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -3333,10 +3445,10 @@ Q Q Q q -1 0 0 1 57.02362 711.0236 cm +1 0 0 1 57.02362 304.6236 cm Q q -1 0 0 1 57.02362 687.0236 cm +1 0 0 1 57.02362 280.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -3358,10 +3470,10 @@ Q Q Q q -1 0 0 1 57.02362 681.0236 cm +1 0 0 1 57.02362 274.6236 cm Q q -1 0 0 1 57.02362 669.0236 cm +1 0 0 1 57.02362 262.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -3383,10 +3495,10 @@ Q Q Q q -1 0 0 1 57.02362 663.0236 cm +1 0 0 1 57.02362 256.6236 cm Q q -1 0 0 1 57.02362 651.0236 cm +1 0 0 1 57.02362 244.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -3408,10 +3520,10 @@ Q Q Q q -1 0 0 1 57.02362 645.0236 cm +1 0 0 1 57.02362 238.6236 cm Q q -1 0 0 1 57.02362 633.0236 cm +1 0 0 1 57.02362 226.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -3433,10 +3545,10 @@ Q Q Q q -1 0 0 1 57.02362 627.0236 cm +1 0 0 1 57.02362 220.6236 cm Q q -1 0 0 1 57.02362 615.0236 cm +1 0 0 1 57.02362 208.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -3458,10 +3570,10 @@ Q Q Q q -1 0 0 1 57.02362 609.0236 cm +1 0 0 1 57.02362 202.6236 cm Q q -1 0 0 1 57.02362 597.0236 cm +1 0 0 1 57.02362 190.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -3483,10 +3595,10 @@ Q Q Q q -1 0 0 1 57.02362 591.0236 cm +1 0 0 1 57.02362 184.6236 cm Q q -1 0 0 1 57.02362 579.0236 cm +1 0 0 1 57.02362 172.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -3508,25 +3620,34 @@ Q Q Q q -1 0 0 1 57.02362 561.0236 cm +1 0 0 1 57.02362 154.6236 cm Q q -1 0 0 1 57.02362 519.0236 cm +1 0 0 1 57.02362 112.6236 cm q BT 1 0 0 1 0 26 Tm .215522 Tw 12 TL /F1 10 Tf 0 0 0 rg (Each target's script lives under ) Tj /F5 10 Tf (tests/) Tj /F1 10 Tf ( and uses the six-layer safety envelope from ) Tj /F5 10 Tf (CLAUDE.md) Tj /F1 10 Tf ( \() Tj /F5 10 Tf (set) Tj ( ) Tj (-e) Tj /F1 10 Tf ( +) Tj T* 0 Tw .46213 Tw /F5 10 Tf (ulimit) Tj ( ) Tj (-v) Tj /F1 10 Tf ( kernel cap + ) Tj /F5 10 Tf (trap) Tj /F1 10 Tf ( on EXIT + ) Tj /F5 10 Tf (timeout) Tj /F1 10 Tf ( + explicit kill + ) Tj /F5 10 Tf (pgrep) Tj /F1 10 Tf ( straggler check\). No benchmark) Tj T* 0 Tw (leaves background processes alive.) Tj T* ET Q Q q -1 0 0 1 57.02362 487.8236 cm +1 0 0 1 57.02362 81.42362 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (6.1 Raw Results) Tj T* ET Q Q q -1 0 0 1 57.02362 473.8236 cm +1 0 0 1 57.02362 67.42362 cm Q + +endstream +endobj +160 0 obj +<< +/Length 12316 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 275.8236 cm +1 0 0 1 57.02362 567.0236 cm q 1 1 1 rg n 0 198 481.2283 -18 re f* @@ -3966,69 +4087,60 @@ Q Q Q q -1 0 0 1 57.02362 275.8236 cm +1 0 0 1 57.02362 567.0236 cm Q q -1 0 0 1 57.02362 245.8236 cm +1 0 0 1 57.02362 537.0236 cm q BT 1 0 0 1 0 14 Tm 1.31189 Tw 12 TL /F3 10 Tf 0 0 0 rg (BC Speedup) Tj /F1 10 Tf ( = interpreter time / bytecode time. This measures the gain from compilation within Lumbda) Tj T* 0 Tw (itself.) Tj T* ET Q Q q -1 0 0 1 57.02362 214.6236 cm +1 0 0 1 57.02362 505.8236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (6.2 Analysis) Tj T* ET Q Q q -1 0 0 1 57.02362 158.6236 cm +1 0 0 1 57.02362 449.8236 cm q BT 1 0 0 1 0 38 Tm 2.646027 Tw 12 TL /F1 10 Tf 0 0 0 rg (The bytecode compiler delivers ) Tj /F3 10 Tf (7--12x speedups) Tj /F1 10 Tf ( on recursive & iterative workloads compared to the) Tj T* 0 Tw .139168 Tw (tree-walking interpreter. The largest gains appear in tight loops \() Tj /F5 10 Tf (sum-to) Tj /F1 10 Tf (: 11.4x\) & deep recursion \() Tj /F5 10 Tf (fib\(20\)) Tj /F1 10 Tf T* 0 Tw .224882 Tw (tree: 9.2x, ) Tj /F5 10 Tf (mergesort) Tj /F1 10 Tf (: 11.0x\), where the explicit frame stack & specialized opcodes eliminate the overhead) Tj T* 0 Tw (of AST traversal.) Tj T* ET Q Q q -1 0 0 1 57.02362 128.6236 cm +1 0 0 1 57.02362 419.8236 cm q 0 0 0 rg BT 1 0 0 1 0 14 Tm /F1 10 Tf 12 TL 1.762025 Tw (Hash table operations show a smaller speedup \(1.6x\) because the bottleneck sits in Python's dictionary) Tj T* 0 Tw (operations, not in Scheme evaluation overhead.) Tj T* ET Q Q q -1 0 0 1 57.02362 74.62362 cm +1 0 0 1 57.02362 365.8236 cm q BT 1 0 0 1 0 38 Tm 1.224168 Tw 12 TL /F1 10 Tf 0 0 0 rg (CPython remains 50--150x faster than the bytecode VM on most benchmarks. This is expected: CPython) Tj T* 0 Tw .86402 Tw (compiles to native bytecode with a C runtime, while Lumbda's bytecode VM is itself written in Python. The) Tj T* 0 Tw -0.007975 Tw (comparison establishes that Lumbda pays a known, bounded overhead for running a complete Scheme \(with) Tj T* 0 Tw (full ) Tj /F5 10 Tf (call/cc) Tj /F1 10 Tf (, exact rationals, & hygienic macros\) inside a host language.) Tj T* ET Q Q - -endstream -endobj -157 0 obj -<< -/Length 9360 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 729.0236 cm +1 0 0 1 57.02362 323.8236 cm q 0 0 0 rg BT 1 0 0 1 0 26 Tm /F1 10 Tf 12 TL 2.429873 Tw (The important comparison is not Lumbda vs CPython \(different languages\), but Lumbda interpreter vs) Tj T* 0 Tw 1.254395 Tw (Lumbda bytecode \(same language, same semantics, different execution strategy\). The bytecode compiler) Tj T* 0 Tw (proves that feedback-based architecture does not preclude efficient execution.) Tj T* ET Q Q q -1 0 0 1 57.02362 697.8236 cm +1 0 0 1 57.02362 292.6236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (6.3 What the Benchmarks Test) Tj T* ET Q Q q -1 0 0 1 57.02362 683.8236 cm +1 0 0 1 57.02362 278.6236 cm Q q -1 0 0 1 57.02362 683.8236 cm +1 0 0 1 57.02362 278.6236 cm Q q -1 0 0 1 57.02362 671.8236 cm +1 0 0 1 57.02362 266.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -4050,10 +4162,10 @@ Q Q Q q -1 0 0 1 57.02362 665.8236 cm +1 0 0 1 57.02362 260.6236 cm Q q -1 0 0 1 57.02362 653.8236 cm +1 0 0 1 57.02362 248.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -4075,10 +4187,10 @@ Q Q Q q -1 0 0 1 57.02362 647.8236 cm +1 0 0 1 57.02362 242.6236 cm Q q -1 0 0 1 57.02362 635.8236 cm +1 0 0 1 57.02362 230.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -4100,10 +4212,10 @@ Q Q Q q -1 0 0 1 57.02362 629.8236 cm +1 0 0 1 57.02362 224.6236 cm Q q -1 0 0 1 57.02362 617.8236 cm +1 0 0 1 57.02362 212.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -4125,10 +4237,10 @@ Q Q Q q -1 0 0 1 57.02362 611.8236 cm +1 0 0 1 57.02362 206.6236 cm Q q -1 0 0 1 57.02362 599.8236 cm +1 0 0 1 57.02362 194.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -4150,10 +4262,10 @@ Q Q Q q -1 0 0 1 57.02362 593.8236 cm +1 0 0 1 57.02362 188.6236 cm Q q -1 0 0 1 57.02362 581.8236 cm +1 0 0 1 57.02362 176.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -4175,10 +4287,10 @@ Q Q Q q -1 0 0 1 57.02362 575.8236 cm +1 0 0 1 57.02362 170.6236 cm Q q -1 0 0 1 57.02362 563.8236 cm +1 0 0 1 57.02362 158.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -4200,10 +4312,10 @@ Q Q Q q -1 0 0 1 57.02362 557.8236 cm +1 0 0 1 57.02362 152.6236 cm Q q -1 0 0 1 57.02362 545.8236 cm +1 0 0 1 57.02362 140.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -4225,25 +4337,34 @@ Q Q Q q -1 0 0 1 57.02362 527.8236 cm +1 0 0 1 57.02362 122.6236 cm Q + +endstream +endobj +161 0 obj +<< +/Length 8023 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 496.6236 cm +1 0 0 1 57.02362 751.8236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (6.4 Three Implementations Head-to-Head \(i5-8350U\)) Tj T* ET Q Q q -1 0 0 1 57.02362 440.6236 cm +1 0 0 1 57.02362 695.8236 cm q BT 1 0 0 1 0 38 Tm 3.147362 Tw 12 TL /F1 10 Tf 0 0 0 rg (Same hardware, same workloads, in-process timing via ) Tj /F5 10 Tf (current-time-ms) Tj /F1 10 Tf (. Best of two runs. Each) Tj T* 0 Tw 1.886027 Tw (implementation is run in its high-performance configuration: Python with ) Tj /F5 10 Tf (--fast) Tj /F1 10 Tf ( \(bytecode VM\), C with) Tj T* 0 Tw .85402 Tw /F5 10 Tf (--fast) Tj /F1 10 Tf ( \(bytecode VM, also its mode for deep recursion\), asm in its native tree-walker mode \(asm has no) Tj T* 0 Tw (bytecode layer \227 it doesn't need one\).) Tj T* ET Q Q q -1 0 0 1 57.02362 434.6236 cm +1 0 0 1 57.02362 689.8236 cm Q q -1 0 0 1 57.02362 362.6236 cm +1 0 0 1 57.02362 617.8236 cm q 1 1 1 rg n 0 72 481.2283 -18 re f* @@ -4388,20 +4509,20 @@ Q Q Q q -1 0 0 1 57.02362 362.6236 cm +1 0 0 1 57.02362 617.8236 cm Q q -1 0 0 1 57.02362 344.6236 cm +1 0 0 1 57.02362 599.8236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (\(C fast is the fastest cell in every row \227 best of the three on this hardware.\)) Tj T* ET Q Q q -1 0 0 1 57.02362 336.6236 cm +1 0 0 1 57.02362 591.8236 cm Q q -1 0 0 1 57.02362 267.578 cm +1 0 0 1 57.02362 522.778 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -4424,13 +4545,13 @@ Q Q Q q -1 0 0 1 57.02362 259.578 cm +1 0 0 1 57.02362 514.778 cm Q q -1 0 0 1 57.02362 251.578 cm +1 0 0 1 57.02362 506.778 cm Q q -1 0 0 1 57.02362 183.2092 cm +1 0 0 1 57.02362 438.4092 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -4453,64 +4574,64 @@ Q Q Q q -1 0 0 1 57.02362 175.2092 cm +1 0 0 1 57.02362 430.4092 cm Q q -1 0 0 1 57.02362 145.2092 cm +1 0 0 1 57.02362 400.4092 cm q BT 1 0 0 1 0 14 Tm 3.825835 Tw 12 TL /F3 10 Tf 0 0 0 rg (Reproduce:) Tj /F1 10 Tf ( ) Tj /F5 10 Tf (make) Tj ( ) Tj (bench-3way) Tj /F1 10 Tf ( \(source: ) Tj /F5 10 Tf (tests/bench-3way.sh) Tj /F1 10 Tf (\). Prints the same table on your) Tj T* 0 Tw (hardware with best-of-two timings.) Tj T* ET Q Q q -1 0 0 1 57.02362 79.20924 cm +1 0 0 1 57.02362 334.4092 cm q BT 1 0 0 1 0 50 Tm .013432 Tw 12 TL /F1 10 Tf 0 0 0 rg (C wins every workload on this hardware. Its bytecode compiler + explicit frame stack \(and optional ) Tj /F5 10 Tf (--jit) Tj /F1 10 Tf ( for) Tj T* 0 Tw .885223 Tw (pattern-matched call forms\) gives a ~3\327 margin over asm on tail-recursive loops and deep recursion alike.) Tj T* 0 Tw 1.958241 Tw (asm's tree-walker is the narrowest Scheme of the three \227 no bytecode layer, no JIT \227 but still beats) Tj T* 0 Tw .566147 Tw (Python's bytecode VM by ~7\2268\327 because it pays no Python overhead \(no dict lookups, no object allocation) Tj T* 0 Tw (per VM op, no interpreter dispatch thunk\).) Tj T* ET Q Q - -endstream -endobj -158 0 obj -<< -/Length 9206 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 669.0236 cm +1 0 0 1 57.02362 232.4092 cm q BT 1 0 0 1 0 86 Tm 3.940642 Tw 12 TL /F3 10 Tf 0 0 0 rg (None of the three segfault on ackermann in their recommended mode.) Tj /F1 10 Tf ( Python ) Tj /F5 10 Tf (--fast) Tj /F1 10 Tf ( uses) Tj T* 0 Tw 2.150596 Tw /F5 10 Tf (OP_TAIL_CALL) Tj /F1 10 Tf ( with explicit frames. C ) Tj /F5 10 Tf (--fast) Tj /F1 10 Tf ( uses its bytecode VM, also with explicit frames. asm's) Tj T* 0 Tw 1.025522 Tw /F5 10 Tf (jmp) Tj /F1 10 Tf (-based TCO reuses the same host stack slot for tail calls. Only C's ) Tj /F5 10 Tf (default) Tj /F1 10 Tf ( tree-walker mode would) Tj T* 0 Tw -0.110555 Tw (exhaust the host C stack on deep recursion \227 by design; it uses the C call stack for each Scheme call. Either) Tj T* 0 Tw -0.056353 Tw (pass ) Tj /F5 10 Tf (-f) Tj /F1 10 Tf (/) Tj /F5 10 Tf (--fast) Tj /F1 10 Tf ( or ) Tj /F5 10 Tf (ulimit) Tj ( ) Tj (-s) Tj ( ) Tj (unlimited) Tj /F1 10 Tf ( when using the C tree-walker on deeply recursive code. The C) Tj T* 0 Tw -0.045877 Tw (binary's help text spells this out explicitly. \(A future refactor could spawn a worker pthread with a 64 MB stack) Tj T* 0 Tw 3.438556 Tw (and run eval there, making the tree-walker safe under any configuration \227 tracked as an optional) Tj T* 0 Tw (improvement, low priority given ) Tj /F5 10 Tf (--fast) Tj /F1 10 Tf ( is strictly faster anyway.\)) Tj T* ET Q Q q -1 0 0 1 57.02362 567.0236 cm +1 0 0 1 57.02362 130.4092 cm q BT 1 0 0 1 0 86 Tm 1.376027 Tw 12 TL /F3 10 Tf 0 0 0 rg (asm's remaining bottleneck is allocation, not lookup.) Tj /F1 10 Tf ( Profiling ) Tj /F5 10 Tf (sum-to\(1M\)) Tj /F1 10 Tf ( shows ~170 MB RSS \227) Tj T* 0 Tw .036147 Tw (each tail call through ) Tj /F5 10 Tf (apply_closure) Tj /F1 10 Tf ( + ) Tj /F5 10 Tf (env_define) Tj /F1 10 Tf ( allocates 24 bytes per parameter \(sym / val / parent\),) Tj T* 0 Tw -0.083038 Tw (twice per ) Tj /F5 10 Tf (loop) Tj /F1 10 Tf ( iteration, for 48 MB total before the three ) Tj /F5 10 Tf (heap_grow) Tj /F1 10 Tf ( events that follow. A future optimization) Tj T* 0 Tw .258138 Tw (candidate is per-frame batched allocation \() Tj /F5 10 Tf (8) Tj ( ) Tj (+) Tj ( ) Tj (16N) Tj /F1 10 Tf ( bytes once per call instead of ) Tj /F5 10 Tf (24N) Tj /F1 10 Tf (\), or env-cell in-place) Tj T* 0 Tw .198241 Tw (reuse for self-tail-calls. An inline cache for env lookups \(ported from Python's VM\) turns out to help less than) Tj T* 0 Tw 1.679272 Tw (anticipated because asm's env chains are typically only 2 deep and each step is a pointer dereference;) Tj T* 0 Tw .173917 Tw (measured upper bound is ~5%. The ~3\327 gap to C is mostly the absence of a bytecode layer and the per-call) Tj T* 0 Tw (env allocation \227 not a lookup-path problem.) Tj T* ET Q Q + +endstream +endobj +162 0 obj +<< +/Length 9632 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 535.8236 cm +1 0 0 1 57.02362 751.8236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (6.5 Native Container Primitives: Moving Hot Loops Into Asm) Tj T* ET Q Q q -1 0 0 1 57.02362 467.8236 cm +1 0 0 1 57.02362 683.8236 cm q BT 1 0 0 1 0 50 Tm .721147 Tw 12 TL /F1 10 Tf 0 0 0 rg (The proof-netspace server \(\2477\) needs a hash-set to dedupe proof hashes. asm had no native hash-set, so) Tj T* 0 Tw .241019 Tw (d88149a shipped a portable one in Lumbda itself: a fixed-size vector of alists, with the bucket walk written in) Tj T* 0 Tw .202397 Tw (Scheme. It works in every tier and matches the usual chained-hash-table algorithm. But the entire inner loop) Tj T* 0 Tw 2.469417 Tw (\227 ) Tj /F5 10 Tf (modulo) Tj /F1 10 Tf ( for bucket index, ) Tj /F5 10 Tf (car) Tj /F1 10 Tf ( / ) Tj /F5 10 Tf (cdr) Tj /F1 10 Tf ( / ) Tj /F5 10 Tf (=) Tj /F1 10 Tf ( to walk the chain, ) Tj /F5 10 Tf (cons) Tj /F1 10 Tf ( to insert \227 runs through asm's) Tj T* 0 Tw (tree-walker, one Scheme AST node at a time.) Tj T* ET Q Q q -1 0 0 1 57.02362 413.8236 cm +1 0 0 1 57.02362 629.8236 cm q BT 1 0 0 1 0 38 Tm 1.109882 Tw 12 TL /F1 10 Tf 0 0 0 rg (A native hash-set moves the same algorithm into asm: ) Tj /F5 10 Tf (bi_hash_set_add) Tj /F1 10 Tf ( is one ) Tj /F5 10 Tf (hash_value) Tj /F1 10 Tf ( call, one) Tj T* 0 Tw .366556 Tw /F5 10 Tf (AND) Tj /F1 10 Tf ( mask, one bucket-slot load, one ) Tj /F5 10 Tf (hs_chain_find) Tj /F1 10 Tf ( loop over raw tagged pairs, and one ) Tj /F5 10 Tf (make_pair) Tj /F1 10 Tf ( on) Tj T* 0 Tw 3.403223 Tw (miss. No environment lookups, no frame allocation, no tree-walk dispatch \227 the entire hot path is) Tj T* 0 Tw (straight-line machine code.) Tj T* ET Q Q q -1 0 0 1 57.02362 407.8236 cm +1 0 0 1 57.02362 623.8236 cm Q q -1 0 0 1 57.02362 335.8236 cm +1 0 0 1 57.02362 551.8236 cm q 1 1 1 rg n 0 72 481.2283 -18 re f* @@ -4655,63 +4776,54 @@ Q Q Q q -1 0 0 1 57.02362 335.8236 cm +1 0 0 1 57.02362 551.8236 cm Q q -1 0 0 1 57.02362 269.8236 cm +1 0 0 1 57.02362 485.8236 cm q BT 1 0 0 1 0 50 Tm 2.58789 Tw 12 TL /F1 10 Tf 0 0 0 rg (Same hash function \(key value for ints, djb2 for strings, identity for everything else\), same 64-bucket) Tj T* 0 Tw .829897 Tw (chaining, same load factor. The ~15\22620\327 factor is ) Tj /F3 10 Tf (purely the cost of interpretation on the bucket walk) Tj /F1 10 Tf (:) Tj T* 0 Tw 1.291079 Tw (each Scheme-level ) Tj /F5 10 Tf (car) Tj /F1 10 Tf ( pays a tag check plus an eval dispatch, while the asm-level loop is two memory) Tj T* 0 Tw .800417 Tw (loads and a compare per step. Run-to-run variance on a shared laptop sits at a few percent \227 the ratio is) Tj T* 0 Tw (stable to first order.) Tj T* ET Q Q q -1 0 0 1 57.02362 203.8236 cm +1 0 0 1 57.02362 419.8236 cm q 0 0 0 rg BT 1 0 0 1 0 50 Tm /F1 10 Tf 12 TL 17.94283 Tw (This matters beyond one data structure. Every container that lives in) Tj T* 0 Tw 4.560927 Tw (Lumbda-the-language-on-asm-the-interpreter pays the same overhead. For a server that processes) Tj T* 0 Tw .026962 Tw (thousands of proofs per minute, pulling the hash-set into the asm primitive layer erases a dominant cost. The) Tj T* 0 Tw 1.349897 Tw (same pattern applies to any structure with a tight inner loop: vector sort, string search, rolling checksum.) Tj T* 0 Tw (Asm's tree-walker is slow on user code; asm's builtins run at the speed of the host CPU.) Tj T* ET Q Q q -1 0 0 1 57.02362 149.8236 cm +1 0 0 1 57.02362 365.8236 cm q BT 1 0 0 1 0 38 Tm .622256 Tw 12 TL /F1 10 Tf 0 0 0 rg (The layout reuses vector tag 7 with a negative sentinel at offset 0 \(hash-table: ) Tj /F5 10 Tf (-1) Tj /F1 10 Tf (, hash-set: ) Tj /F5 10 Tf (-2) Tj /F1 10 Tf (\). ) Tj /F5 10 Tf (vector?) Tj /F1 10 Tf T* 0 Tw .303797 Tw (and the printer check the sentinel to stay disjoint from real vectors. No additional tag bits were consumed \227) Tj T* 0 Tw 1.122397 Tw (the seven-way tag mask \() Tj /F5 10 Tf (TAG_MASK) Tj ( ) Tj (=) Tj ( ) Tj (7) Tj /F1 10 Tf (\) still has room for only heap-level containers, and nothing new) Tj T* 0 Tw (needs tagging because the sentinel carries the discrimination.) Tj T* ET Q Q q -1 0 0 1 57.02362 107.8236 cm +1 0 0 1 57.02362 323.8236 cm q BT 1 0 0 1 0 26 Tm .314261 Tw 12 TL /F3 10 Tf 0 0 0 rg (Reproduce:) Tj /F1 10 Tf ( ) Tj /F5 10 Tf (make) Tj ( ) Tj (bench-hashset) Tj /F1 10 Tf ( \(source: ) Tj /F5 10 Tf (tests/bench-hashset.sh) Tj /F1 10 Tf (\). Asm-only: C and Python tiers) Tj T* 0 Tw 2.919168 Tw (supply ) Tj /F5 10 Tf (hash-table) Tj /F1 10 Tf ( but not ) Tj /F5 10 Tf (hash-set) Tj /F1 10 Tf ( \227 the speedup shown here is intra-asm, native primitive vs) Tj T* 0 Tw (Scheme-level implementation, not cross-tier.) Tj T* ET Q Q - -endstream -endobj -159 0 obj -<< -/Length 8879 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 751.8236 cm +1 0 0 1 57.02362 292.6236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (6.6 Memory Management and the Meta-GC) Tj T* ET Q Q q -1 0 0 1 57.02362 683.8236 cm +1 0 0 1 57.02362 224.6236 cm q BT 1 0 0 1 0 50 Tm 2.31131 Tw 12 TL /F1 10 Tf 0 0 0 rg (The asm tier's default allocator is a bump pointer: every allocation advances ) Tj /F5 10 Tf (%r15) Tj /F1 10 Tf ( monotonically, and) Tj T* 0 Tw .389272 Tw (nothing is ever freed. Python and C tiers have garbage collection \(Python's host GC, Boehm ) Tj /F5 10 Tf (GC_MALLOC) Tj /F1 10 Tf ( in) Tj T* 0 Tw 1.422556 Tw (C\); asm doesn't, by design, to keep the 6,645-line auditable surface small. Short programs finish without) Tj T* 0 Tw .713432 Tw (paying. Long-running asm servers leak until the kernel caps them \227 a real hazard that crashed this laptop) Tj T* 0 Tw (twice during HTTP benchmarks before we wrote the six-layer safety envelope into ) Tj /F5 10 Tf (CLAUDE.md) Tj /F1 10 Tf (.) Tj T* ET Q Q q -1 0 0 1 57.02362 665.8236 cm +1 0 0 1 57.02362 206.6236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL -0.10245 Tw (To measure what a collector would actually cost, we built a second asm binary behind an assemble-time flag:) Tj T* 0 Tw ET Q Q q -1 0 0 1 57.02362 625.4236 cm +1 0 0 1 57.02362 166.2236 cm q q 1 0 0 1 0 0 cm @@ -4732,59 +4844,86 @@ Q Q Q q -1 0 0 1 57.02362 581.4236 cm +1 0 0 1 57.02362 122.2236 cm q BT 1 0 0 1 0 26 Tm 1.033797 Tw 12 TL /F1 10 Tf 0 0 0 rg (Same source, same tests \(137/137 pass on both\). The GC build adds an 8-byte ) Tj /F5 10 Tf (\(size) Tj ( ) Tj (<) Tj (<) Tj ( ) Tj (1) Tj ( ) Tj (|) Tj ( ) Tj (mark\)) Tj /F1 10 Tf T* 0 Tw 2.41631 Tw (header on every heap block, a stop-the-world mark-sweep triggered by bump overflow, and a free-list) Tj T* 0 Tw (allocator that first-fits reclaimed space.) Tj T* ET Q Q q -1 0 0 1 57.02362 551.4236 cm +1 0 0 1 57.02362 92.22362 cm q BT 1 0 0 1 0 14 Tm .665835 Tw 12 TL /F3 10 Tf 0 0 0 rg (Control-group numbers) Tj /F1 10 Tf ( \(workload: 2,000 iterations of build-sum-discard over 200-element lists, i5-8350U,) Tj T* 0 Tw (512 MB ) Tj /F5 10 Tf (ulimit) Tj ( ) Tj (-v) Tj /F1 10 Tf (\):) Tj T* ET Q Q q -1 0 0 1 57.02362 545.4236 cm +1 0 0 1 57.02362 86.22362 cm Q q -1 0 0 1 57.02362 491.4236 cm +1 0 0 1 57.02362 68.22362 cm q 1 1 1 rg -n 0 54 481.2283 -18 re f* -.878431 .878431 .878431 rg -n 0 36 481.2283 -18 re f* -1 1 1 rg n 0 18 481.2283 -18 re f* 0 0 0 rg BT /F3 10 Tf 12 TL ET q -1 0 0 1 6 39 cm +1 0 0 1 6 3 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 52.46882 0 Td (asm build) Tj T* -52.46882 0 Td ET Q Q q -1 0 0 1 169.6176 39 cm +1 0 0 1 169.6176 3 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 15.36055 0 Td (Wall time) Tj T* -15.36055 0 Td ET Q Q q -1 0 0 1 256.2387 39 cm +1 0 0 1 256.2387 3 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 13.96555 0 Td (Peak RSS) Tj T* -13.96555 0 Td ET Q Q q -1 0 0 1 342.8598 39 cm +1 0 0 1 342.8598 3 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 42.01425 0 Td (GC firings) Tj T* -42.01425 0 Td ET Q Q +q +1 J +1 j +0 0 0 RG +.25 w +n 0 0 m 481.2283 0 l S +n 163.6176 0 m 163.6176 18 l S +n 250.2387 0 m 250.2387 18 l S +n 336.8598 0 m 336.8598 18 l S +n 0 18 m 481.2283 18 l S +n 0 0 m 0 18 l S +n 481.2283 0 m 481.2283 18 l S +Q +Q +Q + +endstream +endobj +163 0 obj +<< +/Length 9646 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET +q +1 0 0 1 57.02362 729.0236 cm +q +1 1 1 rg +n 0 36 481.2283 -18 re f* +.878431 .878431 .878431 rg +n 0 18 481.2283 -18 re f* 0 0 0 rg BT /F1 10 Tf 12 TL ET q @@ -4849,30 +4988,29 @@ q .25 w n 0 36 m 481.2283 36 l S n 0 18 m 481.2283 18 l S -n 163.6176 0 m 163.6176 54 l S -n 250.2387 0 m 250.2387 54 l S -n 336.8598 0 m 336.8598 54 l S -n 0 54 m 481.2283 54 l S +n 163.6176 0 m 163.6176 36 l S +n 250.2387 0 m 250.2387 36 l S +n 336.8598 0 m 336.8598 36 l S +n 0 0 m 0 36 l S +n 481.2283 0 m 481.2283 36 l S n 0 0 m 481.2283 0 l S -n 0 0 m 0 54 l S -n 481.2283 0 m 481.2283 54 l S Q Q Q q -1 0 0 1 57.02362 491.4236 cm +1 0 0 1 57.02362 729.0236 cm Q q -1 0 0 1 57.02362 449.4236 cm +1 0 0 1 57.02362 687.0236 cm q BT 1 0 0 1 0 26 Tm .105917 Tw 12 TL /F3 10 Tf 0 0 0 rg (122\327 less memory at a ~26% throughput cost.) Tj /F1 10 Tf ( That is the honest GC tax at the naive end of the spectrum) Tj T* 0 Tw 7.017739 Tw (\227 the number we had been guessing at before building the control group. Every future) Tj T* 0 Tw (memory-management proposal \(generational, incremental, region-based\) now has a concrete floor to beat.) Tj T* ET Q Q q -1 0 0 1 57.02362 441.4236 cm +1 0 0 1 57.02362 679.0236 cm Q q -1 0 0 1 57.02362 348.7366 cm +1 0 0 1 57.02362 586.3366 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -4895,28 +5033,28 @@ Q Q Q q -1 0 0 1 57.02362 340.7366 cm +1 0 0 1 57.02362 578.3366 cm Q q -1 0 0 1 57.02362 314.7366 cm +1 0 0 1 57.02362 552.3366 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 Tf .133333 .133333 .133333 rg (6.6.1 Meta-GC: Arena Fast Path with Mark-Phase Verifier) Tj T* ET Q Q q -1 0 0 1 57.02362 272.7366 cm +1 0 0 1 57.02362 510.3366 cm q BT 1 0 0 1 0 26 Tm .669314 Tw 12 TL /F1 10 Tf 0 0 0 rg (On top of the naive sweep, the GC build exposes a Lumbda primitive ) Tj /F5 10 Tf (\(with-arena) Tj ( ) Tj (thunk\)) Tj /F1 10 Tf ( that takes a) Tj T* 0 Tw 1.104556 Tw (zero-argument procedure, runs it, and attempts an ) Tj /F3 10 Tf (O\(1\) bulk reclaim) Tj /F1 10 Tf ( of every allocation the thunk made.) Tj T* 0 Tw (The decision logic is a three-way policy:) Tj T* ET Q Q q -1 0 0 1 57.02362 266.7366 cm +1 0 0 1 57.02362 504.3366 cm Q q -1 0 0 1 57.02362 266.7366 cm +1 0 0 1 57.02362 504.3366 cm Q q -1 0 0 1 57.02362 242.7366 cm +1 0 0 1 57.02362 480.3366 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -4938,10 +5076,10 @@ Q Q Q q -1 0 0 1 57.02362 236.7366 cm +1 0 0 1 57.02362 474.3366 cm Q q -1 0 0 1 57.02362 200.7366 cm +1 0 0 1 57.02362 438.3366 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -4963,10 +5101,10 @@ Q Q Q q -1 0 0 1 57.02362 194.7366 cm +1 0 0 1 57.02362 432.3366 cm Q q -1 0 0 1 57.02362 170.7366 cm +1 0 0 1 57.02362 408.3366 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -4988,28 +5126,19 @@ Q Q Q q -1 0 0 1 57.02362 170.7366 cm +1 0 0 1 57.02362 408.3366 cm Q q -1 0 0 1 57.02362 92.73661 cm +1 0 0 1 57.02362 330.3366 cm q BT 1 0 0 1 0 62 Tm 2.481079 Tw 12 TL /F1 10 Tf 0 0 0 rg (Free-list reuse is disabled while an arena is active so the chain stays pristine for a verbatim restore;) Tj T* 0 Tw 4.369862 Tw /F5 10 Tf (heap_alloc) Tj /F1 10 Tf ( enforces this via a global ) Tj /F5 10 Tf (arena_active) Tj /F1 10 Tf ( flag. One critical correctness detail: after) Tj T* 0 Tw .105596 Tw /F5 10 Tf (apply_proc_raw) Tj /F1 10 Tf ( returns from the thunk, volatile registers contain stale tagged pointers into the arena. The) Tj T* 0 Tw 1.244897 Tw (conservative stack scan would otherwise treat those residuals as live roots and trigger a false escape on) Tj T* 0 Tw 2.046796 Tw (every call. Zero-ing ) Tj /F5 10 Tf (%rax,) Tj ( ) Tj (%rcx,) Tj ( ) Tj (%rdx,) Tj ( ) Tj (%rsi,) Tj ( ) Tj (%rdi,) Tj ( ) Tj (%rbp,) Tj ( ) Tj (%r8-%r12) Tj /F1 10 Tf ( before the verifier runs) Tj T* 0 Tw (removes this hazard.) Tj T* ET Q Q q -1 0 0 1 57.02362 84.73661 cm +1 0 0 1 57.02362 322.3366 cm Q - -endstream -endobj -160 0 obj -<< -/Length 10383 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 649.0638 cm +1 0 0 1 57.02362 206.3768 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -5032,19 +5161,19 @@ Q Q Q q -1 0 0 1 57.02362 641.0638 cm +1 0 0 1 57.02362 198.3768 cm Q q -1 0 0 1 57.02362 623.0638 cm +1 0 0 1 57.02362 180.3768 cm q BT 1 0 0 1 0 2 Tm 12 TL /F3 10 Tf 0 0 0 rg (Meta-GC benchmark) Tj /F1 10 Tf ( \(same workload, same binary, both phases in one process\):) Tj T* ET Q Q q -1 0 0 1 57.02362 617.0638 cm +1 0 0 1 57.02362 174.3768 cm Q q -1 0 0 1 57.02362 551.0638 cm +1 0 0 1 57.02362 108.3768 cm q 1 1 1 rg n 0 66 481.2283 -18 re f* @@ -5180,22 +5309,37 @@ Q Q Q q -1 0 0 1 57.02362 551.0638 cm +1 0 0 1 57.02362 108.3768 cm Q q -1 0 0 1 57.02362 485.0638 cm +1 0 0 1 57.02362 66.37679 cm q -BT 1 0 0 1 0 50 Tm .306019 Tw 12 TL /F1 10 Tf 0 0 0 rg (Phase B reclaims ) Tj /F3 10 Tf (205 MB) Tj /F1 10 Tf ( via O\(1\) bulk resets \227 the work that would otherwise drive the mark-sweep path.) Tj T* 0 Tw .213241 Tw (Only one full GC fires \(initial warm-up\); the other 199 pressure events are replaced by arena exits. Wall time) Tj T* 0 Tw 1.256373 Tw (is within 1.4% of naive-only on this workload because the arena verifier's mark cost is comparable to the) Tj T* 0 Tw 2.654168 Tw (sweep cost it replaces. The advantage is not raw throughput but ) Tj /F3 10 Tf (bounded per-iteration latency) Tj /F1 10 Tf ( \(no) Tj T* 0 Tw (pressure-driven jitter\) and the observability to prove which path actually ran.) Tj T* ET +BT 1 0 0 1 0 26 Tm .306019 Tw 12 TL /F1 10 Tf 0 0 0 rg (Phase B reclaims ) Tj /F3 10 Tf (205 MB) Tj /F1 10 Tf ( via O\(1\) bulk resets \227 the work that would otherwise drive the mark-sweep path.) Tj T* 0 Tw .213241 Tw (Only one full GC fires \(initial warm-up\); the other 199 pressure events are replaced by arena exits. Wall time) Tj T* 0 Tw 1.256373 Tw (is within 1.4% of naive-only on this workload because the arena verifier's mark cost is comparable to the) Tj T* 0 Tw ET +Q +Q + +endstream +endobj +164 0 obj +<< +/Length 13886 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET +q +1 0 0 1 57.02362 741.0236 cm +q +BT 1 0 0 1 0 14 Tm 2.654168 Tw 12 TL /F1 10 Tf 0 0 0 rg (sweep cost it replaces. The advantage is not raw throughput but ) Tj /F3 10 Tf (bounded per-iteration latency) Tj /F1 10 Tf ( \(no) Tj T* 0 Tw (pressure-driven jitter\) and the observability to prove which path actually ran.) Tj T* ET Q Q q -1 0 0 1 57.02362 467.0638 cm +1 0 0 1 57.02362 723.0236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F3 10 Tf 0 0 0 rg (Escape detection) Tj /F1 10 Tf (. When the thunk returns a heap-allocated value that the outer scope captures:) Tj T* ET Q Q q -1 0 0 1 57.02362 436.2638 cm +1 0 0 1 57.02362 692.2236 cm q q 1 0 0 1 0 0 cm @@ -5257,32 +5401,32 @@ Q Q Q q -1 0 0 1 57.02362 392.2638 cm +1 0 0 1 57.02362 648.2236 cm q BT 1 0 0 1 0 26 Tm .812397 Tw 12 TL /F1 10 Tf 0 0 0 rg (\205the verifier finds the returned pair's chain marked inside the arena range, correctly aborts, and the naive) Tj T* 0 Tw 4.913453 Tw (sweep keeps the data live. Tested at 20 consecutive escapes: 20 escapes reported, 0 resets,) Tj T* 0 Tw /F5 10 Tf (\(length) Tj ( ) Tj (escaped\)) Tj /F1 10 Tf ( = 50 after completion. The fall-through path is correct under load.) Tj T* ET Q Q q -1 0 0 1 57.02362 366.2638 cm +1 0 0 1 57.02362 622.2236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 Tf .133333 .133333 .133333 rg (6.6.2 What the Control Group Tells Us) Tj T* ET Q Q q -1 0 0 1 57.02362 348.2638 cm +1 0 0 1 57.02362 604.2236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (The meta-GC makes three memory strategies co-resident in one binary, each with its own stats counter:) Tj T* ET Q Q q -1 0 0 1 57.02362 342.2638 cm +1 0 0 1 57.02362 598.2236 cm Q q -1 0 0 1 57.02362 342.2638 cm +1 0 0 1 57.02362 598.2236 cm Q q -1 0 0 1 57.02362 330.2638 cm +1 0 0 1 57.02362 586.2236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -5304,10 +5448,10 @@ Q Q Q q -1 0 0 1 57.02362 324.2638 cm +1 0 0 1 57.02362 580.2236 cm Q q -1 0 0 1 57.02362 312.2638 cm +1 0 0 1 57.02362 568.2236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -5329,205 +5473,49 @@ Q Q Q q -1 0 0 1 57.02362 294.2638 cm +1 0 0 1 57.02362 550.2236 cm Q q -1 0 0 1 57.02362 204.2638 cm +1 0 0 1 57.02362 460.2236 cm q BT 1 0 0 1 0 74 Tm 1.957223 Tw 12 TL /F1 10 Tf 0 0 0 rg (On an arena-friendly workload \(transient allocation, scoped lifetime\) the arena hit rate is 100% and the) Tj T* 0 Tw .25389 Tw (full-sweep rate falls to 1. On an arena-hostile workload \(every iteration escapes\) the arena-stats show 100%) Tj T* 0 Tw .02755 Tw (escapes and the naive sweep carries the load, with correctness preserved. The ) Tj /F4 10 Tf (policy) Tj /F1 10 Tf ( \227 decide which to run) Tj T* 0 Tw 2.513647 Tw (at each exit \227 is ~370 lines of GNU assembler; the ) Tj /F4 10 Tf (mechanism) Tj /F1 10 Tf ( it decides between \(bump allocator,) Tj T* 0 Tw 2.75389 Tw (mark-sweep, bulk reset\) adds another ~300 lines. Together they form a concrete floor for any future) Tj T* 0 Tw 2.237025 Tw (memory-management proposal: if it costs more than 30% throughput, or buys less than 124\327 memory) Tj T* 0 Tw (reduction, or hits less than 100% on arena-friendly code, the naive baseline is already better.) Tj T* ET Q Q q -1 0 0 1 57.02362 174.2638 cm +1 0 0 1 57.02362 430.2236 cm q BT 1 0 0 1 0 14 Tm .018334 Tw 12 TL /F3 10 Tf 0 0 0 rg (Reproduce:) Tj /F1 10 Tf ( ) Tj /F5 10 Tf (make) Tj ( ) Tj (bench-gc) Tj /F1 10 Tf ( \(bump vs naive sweep\) and ) Tj /F5 10 Tf (make) Tj ( ) Tj (bench-gc-arena) Tj /F1 10 Tf ( \(naive sweep vs arena) Tj T* 0 Tw (fast path\). Sources: ) Tj /F5 10 Tf (tests/bench-gc-memory.sh) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (tests/bench-gc-arena.sh) Tj /F1 10 Tf (.) Tj T* ET Q Q q -1 0 0 1 57.02362 148.2638 cm +1 0 0 1 57.02362 404.2236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 Tf .133333 .133333 .133333 rg (6.6.3 Collaborative Meta-GC: From Greedy to Adaptive) Tj T* ET Q Q q -1 0 0 1 57.02362 94.2638 cm +1 0 0 1 57.02362 326.2236 cm q -BT 1 0 0 1 0 38 Tm 1.15989 Tw 12 TL /F1 10 Tf 0 0 0 rg (The policy described in \2476.6.1 is ) Tj /F3 10 Tf (greedy) Tj /F1 10 Tf ( \227 at every ) Tj /F5 10 Tf (\(with-arena\)) Tj /F1 10 Tf ( exit, unconditionally run the verifier,) Tj T* 0 Tw 1.039903 Tw (then decide reset-vs-sweep based on what it found. That works, but it pays the mark-phase cost even for) Tj T* 0 Tw 1.021147 Tw (arenas that are almost certainly going to escape. On a workload where most arenas escape, the verifier's) Tj T* 0 Tw (work is wasted: the answer was going to be "escape" regardless.) Tj T* ET +BT 1 0 0 1 0 62 Tm .012556 Tw 12 TL /F1 10 Tf 0 0 0 rg (The \2476.6.1 policy is ) Tj /F3 10 Tf (greedy) Tj /F1 10 Tf ( \227 every ) Tj /F5 10 Tf (\(with-arena\)) Tj /F1 10 Tf ( exit runs the verifier first, then decides reset-vs-sweep.) Tj T* 0 Tw .893223 Tw (An ) Tj /F3 10 Tf (adaptive) Tj /F1 10 Tf ( dispatcher \() Tj /F5 10 Tf (arena-set-mode) Tj ( ) Tj (1) Tj /F1 10 Tf (, the default\) tracks recent escape rate as a scaled EMA \227) Tj T* 0 Tw .642198 Tw /F5 10 Tf (rate) Tj ( ) Tj (=) Tj ( ) Tj (\(rate) Tj ( ) Tj (*) Tj ( ) Tj (7) Tj ( ) Tj (+) Tj ( ) Tj (sample) Tj ( ) Tj (*) Tj ( ) Tj (256\)) Tj ( ) Tj (/) Tj ( ) Tj (8) Tj /F1 10 Tf ( where ) Tj /F5 10 Tf (sample) Tj ( ) Tj (=) Tj ( ) Tj (0) Tj /F1 10 Tf ( on reset, ) Tj /F5 10 Tf (1) Tj /F1 10 Tf ( on escape \227 and when) Tj T* 0 Tw 1.664556 Tw /F5 10 Tf (rate) Tj ( ) Tj (>) Tj ( ) Tj (128) Tj /F1 10 Tf ( \(50% escape\) it ) Tj /F3 10 Tf (skips the verifier entirely) Tj /F1 10 Tf (, letting the natural bump-overflow GC reclaim) Tj T* 0 Tw 1.537686 Tw (anything truly dead. Every 16 skipped arenas, a probe forces one verify so the policy can recover if the) Tj T* 0 Tw (workload shifts back to arena-friendly.) Tj T* ET Q Q q -1 0 0 1 57.02362 64.2638 cm +1 0 0 1 57.02362 272.2236 cm q -BT 1 0 0 1 0 14 Tm -0.071274 Tw 12 TL /F1 10 Tf 0 0 0 rg (The next layer replaces that with an ) Tj /F3 10 Tf (adaptive) Tj /F1 10 Tf ( policy driven by a scaled exponential moving average of recent) Tj T* 0 Tw (escape rate:) Tj T* ET -Q -Q - -endstream -endobj -161 0 obj -<< -/Length 12606 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET -q -1 0 0 1 57.02362 742.2236 cm -q -q -1 0 0 1 0 0 cm -q -1 0 0 1 6.6 6.6 cm -q -.662745 .662745 .662745 RG -.5 w -.960784 .960784 .960784 rg -n -6 -6 480.0283 21.6 re B* -Q -q -0 0 0 rg -BT 1 0 0 1 0 1.6 Tm /F5 8 Tf 9.6 TL (rate = \(rate * 7 + sample * 256\) / 8 # sample = 0 \(reset\) | 1 \(escape\)) Tj T* ET -Q -Q -Q -Q -Q -q -1 0 0 1 57.02362 686.2236 cm -q -BT 1 0 0 1 0 38 Tm 1.994272 Tw 12 TL /F1 10 Tf 0 0 0 rg (When ) Tj /F5 10 Tf (rate) Tj ( ) Tj (>) Tj ( ) Tj (128) Tj /F1 10 Tf ( \(50% escape rate\) the dispatcher ) Tj /F3 10 Tf (skips the verifier entirely) Tj /F1 10 Tf ( and lets the arena's) Tj T* 0 Tw 1.107565 Tw (allocations survive in place. The heap keeps growing until a natural bump-overflow triggers ) Tj /F5 10 Tf (gc_collect) Tj /F1 10 Tf (,) Tj T* 0 Tw .845197 Tw (which reclaims anything truly dead with a proper mark pass. Every 16 skipped arenas, a probe forces one) Tj T* 0 Tw (verify so the policy can re-evaluate and recover if the workload shifts back to arena-friendly.) Tj T* ET +BT 1 0 0 1 0 38 Tm 1.233223 Tw 12 TL /F1 10 Tf 0 0 0 rg (Four pieces collaborate through one piece of shared state \(the EMA + probe countdown\): allocator reads) Tj T* 0 Tw 1.052556 Tw /F5 10 Tf (arena_active) Tj /F1 10 Tf ( to skip free-list reuse; ) Tj /F5 10 Tf (gc_collect) Tj /F1 10 Tf ( clears it on implicit trigger; verifier returns 0/1 for the) Tj T* 0 Tw -0.10705 Tw (EMA update; dispatcher reads rate + countdown to decide verify|skip|probe. No component queries another's) Tj T* 0 Tw (internals.) Tj T* ET Q Q q -1 0 0 1 57.02362 656.2236 cm +1 0 0 1 57.02362 242.2236 cm q -0 0 0 rg -BT 1 0 0 1 0 14 Tm /F1 10 Tf 12 TL .328556 Tw (Four co-operating pieces \227 allocator, mark phase, arena verifier, and the policy dispatcher \227 share exactly) Tj T* 0 Tw (one piece of state \(the EMA plus a probe countdown\) and make local decisions:) Tj T* ET +BT 1 0 0 1 0 14 Tm .794261 Tw 12 TL /F3 10 Tf 0 0 0 rg (Three-workload benchmark) Tj /F1 10 Tf ( \() Tj /F5 10 Tf (make) Tj ( ) Tj (bench-gc-adaptive) Tj /F1 10 Tf (, i5-8350U, N=1000 iterations per phase, fresh) Tj T* 0 Tw (asm-gc process per phase\):) Tj T* ET Q Q q -1 0 0 1 57.02362 596.6236 cm -q -q -1 0 0 1 0 0 cm -q -1 0 0 1 6.6 6.6 cm -q -.662745 .662745 .662745 RG -.5 w -.960784 .960784 .960784 rg -n -6 -6 480.0283 50.4 re B* +1 0 0 1 57.02362 236.2236 cm Q q -0 0 0 rg -BT 1 0 0 1 0 30.4 Tm /F5 8 Tf 9.6 TL (allocator: reads arena_active to skip free-list reuse) Tj T* (gc_collect: clears arena_active on implicit trigger \(snapshot stale\)) Tj T* (verifier: returns 0 \(reset\) / 1 \(escape\) for EMA update) Tj T* (dispatcher: reads rate+countdown, decides verify|skip|probe) Tj T* ET -Q -Q -Q -Q -Q -q -1 0 0 1 57.02362 564.6236 cm -q -0 0 0 rg -BT 1 0 0 1 0 14 Tm /F1 10 Tf 12 TL .54189 Tw (No component queries another's internals. This is "collaborative" in the structural sense \227 shared state, no) Tj T* 0 Tw (direct coupling \227 while each decision remains local.) Tj T* ET -Q -Q -q -1 0 0 1 57.02362 546.6236 cm -q -0 0 0 rg -BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL (Control toggles:) Tj T* ET -Q -Q -q -1 0 0 1 57.02362 506.2236 cm -q -q -1 0 0 1 0 0 cm -q -1 0 0 1 6.6 6.6 cm -q -.662745 .662745 .662745 RG -.5 w -.960784 .960784 .960784 rg -n -6 -6 480.0283 31.2 re B* -Q -q -.960784 .960784 .960784 rg -n 0 9.6 4.8 9.6 re f* -.960784 .960784 .960784 rg -n 4.8 9.6 67.2 9.6 re f* -.960784 .960784 .960784 rg -n 72 9.6 4.8 9.6 re f* -.960784 .960784 .960784 rg -n 76.8 9.6 4.8 9.6 re f* -.960784 .960784 .960784 rg -n 81.6 9.6 4.8 9.6 re f* -.960784 .960784 .960784 rg -n 86.4 9.6 14.4 9.6 re f* -.960784 .960784 .960784 rg -n 100.8 9.6 158.4 9.6 re f* -.960784 .960784 .960784 rg -n 259.2 9.6 0 9.6 re f* -.960784 .960784 .960784 rg -n 0 0 4.8 9.6 re f* -.960784 .960784 .960784 rg -n 4.8 0 67.2 9.6 re f* -.960784 .960784 .960784 rg -n 72 0 4.8 9.6 re f* -.960784 .960784 .960784 rg -n 76.8 0 4.8 9.6 re f* -.960784 .960784 .960784 rg -n 81.6 0 4.8 9.6 re f* -.960784 .960784 .960784 rg -n 86.4 0 14.4 9.6 re f* -.960784 .960784 .960784 rg -n 100.8 0 96 9.6 re f* -.960784 .960784 .960784 rg -n 196.8 0 0 9.6 re f* -BT 1 0 0 1 0 11.2 Tm 9.6 TL /F5 8 Tf 0 0 0 rg (\() Tj 0 0 1 rg (arena-set-mode) Tj .733333 .733333 .733333 rg ( ) Tj .4 .4 .4 rg (0) Tj 0 0 0 rg (\)) Tj .733333 .733333 .733333 rg ( ) Tj /F8 8 Tf .25098 .501961 .501961 rg (; greedy baseline \(always verify\)) Tj /F5 8 Tf .733333 .733333 .733333 rg T* 0 0 0 rg (\() Tj 0 0 1 rg (arena-set-mode) Tj .733333 .733333 .733333 rg ( ) Tj .4 .4 .4 rg (1) Tj 0 0 0 rg (\)) Tj .733333 .733333 .733333 rg ( ) Tj /F8 8 Tf .25098 .501961 .501961 rg (; adaptive \(default\)) Tj /F5 8 Tf .733333 .733333 .733333 rg T* ET -Q -Q -Q -Q -Q -q -1 0 0 1 57.02362 486.2236 cm -q -BT 1 0 0 1 0 2 Tm 12 TL /F3 10 Tf 0 0 0 rg (Stats) Tj /F1 10 Tf ( now include skipped-verifier count and the current EMA, for observability:) Tj T* ET -Q -Q -q -1 0 0 1 57.02362 455.4236 cm -q -q -1 0 0 1 0 0 cm -q -1 0 0 1 6.6 6.6 cm -q -.662745 .662745 .662745 RG -.5 w -.960784 .960784 .960784 rg -n -6 -6 480.0283 21.6 re B* -Q -q -BT 1 0 0 1 0 1.6 Tm 9.6 TL /F5 8 Tf 0 0 0 rg (\(arena-stats\) -) Tj (>) Tj ( \(calls resets escapes skipped bytes-reclaimed rate\)) Tj T* ET -Q -Q -Q -Q -Q -q -1 0 0 1 57.02362 423.4236 cm -q -BT 1 0 0 1 0 14 Tm .777594 Tw 12 TL /F3 10 Tf 0 0 0 rg (Three-workload benchmark) Tj /F1 10 Tf ( \() Tj /F5 10 Tf (make) Tj ( ) Tj (bench-gc-adaptive) Tj /F1 10 Tf (, i5-8350U, ) Tj /F5 10 Tf (N=1000) Tj /F1 10 Tf ( iterations per phase, each) Tj T* 0 Tw (phase in a fresh asm-gc process to isolate state\):) Tj T* ET -Q -Q -q -1 0 0 1 57.02362 417.4236 cm -Q -q -1 0 0 1 57.02362 279.4236 cm +1 0 0 1 57.02362 98.22362 cm q 1 1 1 rg n 0 138 481.2283 -30 re f* @@ -5915,134 +5903,46 @@ Q Q Q q -1 0 0 1 57.02362 279.4236 cm +1 0 0 1 57.02362 98.22362 cm Q q -1 0 0 1 57.02362 261.4236 cm +1 0 0 1 57.02362 68.22362 cm q -0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (Reading the numbers:) Tj T* ET +BT 1 0 0 1 0 14 Tm -0.039478 Tw 12 TL /F3 10 Tf 0 0 0 rg (Honest read.) Tj /F1 10 Tf ( Adaptive is a null experiment on these three workloads \227 within measurement noise of greedy) Tj T* 0 Tw .422556 Tw (everywhere. It may still win on long-running mixed workloads we haven't probed, but nothing here demands) Tj T* 0 Tw ET Q Q -q -1 0 0 1 57.02362 255.4236 cm -Q -q -1 0 0 1 57.02362 255.4236 cm -Q -q -1 0 0 1 57.02362 219.4236 cm -q -0 0 0 rg -BT /F1 10 Tf 12 TL ET -q -1 0 0 1 6 21 cm -q -0 0 0 rg -BT 1 0 0 1 0 2 Tm /F5 10 Tf 12 TL 8 0 Td (\177) Tj T* -8 0 Td ET -Q -Q -q -1 0 0 1 23 -3 cm -q -BT 1 0 0 1 0 26 Tm .866772 Tw 12 TL /F3 10 Tf 0 0 0 rg (Friendly) Tj /F1 10 Tf ( workload: adaptive and greedy are within ~1%. EMA stays at 0 \(every arena resets\), so the) Tj T* 0 Tw .102018 Tw (skip path never fires \227 a null result for the adaptive policy, which is exactly what we want on workloads) Tj T* 0 Tw (that are already arena-scoped cleanly.) Tj T* ET -Q -Q -q -Q -Q -Q -q -1 0 0 1 57.02362 213.4236 cm -Q -q -1 0 0 1 57.02362 165.4236 cm -q -0 0 0 rg -BT /F1 10 Tf 12 TL ET -q -1 0 0 1 6 33 cm -q -0 0 0 rg -BT 1 0 0 1 0 2 Tm /F5 10 Tf 12 TL 8 0 Td (\177) Tj T* -8 0 Td ET -Q -Q -q -1 0 0 1 23 -3 cm -q -BT 1 0 0 1 0 38 Tm 1.549168 Tw 12 TL /F3 10 Tf 0 0 0 rg (Hostile) Tj /F1 10 Tf ( workload: also within ~1%. Both modes trigger implicit ) Tj /F5 10 Tf (gc_collect) Tj /F1 10 Tf ( 982 times out of 1000) Tj T* 0 Tw .66189 Tw (arenas \227 heap overflow during the thunk clears ) Tj /F5 10 Tf (arena_active) Tj /F1 10 Tf ( before the dispatcher sees it, so the) Tj T* 0 Tw .105522 Tw (adaptive skip path only activates 11 times. The policy's signal is drowned out by pressure-driven GC on) Tj T* 0 Tw (this shape. Adaptive isn't helping, but it's not hurting either.) Tj T* ET -Q -Q -q -Q -Q -Q -q -1 0 0 1 57.02362 159.4236 cm -Q -q -1 0 0 1 57.02362 99.42362 cm -q -0 0 0 rg -BT /F1 10 Tf 12 TL ET -q -1 0 0 1 6 45 cm -q -0 0 0 rg -BT 1 0 0 1 0 2 Tm /F5 10 Tf 12 TL 8 0 Td (\177) Tj T* -8 0 Td ET -Q -Q -q -1 0 0 1 23 -3 cm -q -BT 1 0 0 1 0 50 Tm .504395 Tw 12 TL /F3 10 Tf 0 0 0 rg (Mixed) Tj /F1 10 Tf ( workload: adaptive and greedy within ~1%. Earlier measurements \(before the precise-type-byte) Tj T* 0 Tw .372844 Tw (fix\) had shown a 17% adaptive win here; after the fix the numbers converged. The fix both accelerated) Tj T* 0 Tw .359873 Tw (the common paths \(fewer redundant checks\) and closed one correctness hole, so whatever advantage) Tj T* 0 Tw .674897 Tw (adaptive was extracting from the specific crash pattern it had tolerated is now available to greedy too.) Tj T* 0 Tw (Honest result is that adaptive is neutral here, not a win.) Tj T* ET -Q -Q -q -Q -Q -Q -q -1 0 0 1 57.02362 81.42362 cm -Q endstream endobj -162 0 obj +165 0 obj << -/Length 10367 +/Length 10550 >> stream 1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 669.0236 cm +1 0 0 1 57.02362 729.0236 cm q -BT 1 0 0 1 0 86 Tm 3.071223 Tw 12 TL /F3 10 Tf 0 0 0 rg (Honest read.) Tj /F1 10 Tf ( The adaptive policy is currently a null experiment on these three workloads \227 within) Tj T* 0 Tw 3.592397 Tw (measurement noise of greedy in all three cases. It may still win on workloads we haven't probed) Tj T* 0 Tw 3.328196 Tw (\(long-running servers with occasional large bursts, mixed short/long transactions\), but nothing in the) Tj T* 0 Tw 1.51218 Tw (three-way benchmark tells us to prefer it. Shipping it as default \() Tj /F5 10 Tf (arena_adaptive_mode=1) Tj /F1 10 Tf ( at ) Tj /F5 10 Tf (_start) Tj /F1 10 Tf (\)) Tj T* 0 Tw 1.318647 Tw (costs nothing and keeps the counters \() Tj /F5 10 Tf (arena-stats) Tj /F1 10 Tf ( fifth field = ) Tj /F5 10 Tf (skipped) Tj /F1 10 Tf (, sixth field = EMA rate \327256\)) Tj T* 0 Tw 2.773196 Tw (available for observability. The benchmark also drove the original precise-type-byte work \(\2476.6.5\) that) Tj T* 0 Tw .583432 Tw (eliminated the latent class of conservative-scan bugs \227 so even the null result paid for itself in correctness) Tj T* 0 Tw (progress.) Tj T* ET +BT 1 0 0 1 0 26 Tm .516556 Tw 12 TL /F1 10 Tf 0 0 0 rg (it. Shipping at default costs nothing and the ) Tj /F5 10 Tf (arena-stats) Tj /F1 10 Tf ( counters \() Tj /F5 10 Tf (skipped) Tj /F1 10 Tf ( count, EMA rate \327256\) give) Tj T* 0 Tw .202397 Tw (observability for future tuning. The benchmark drove the precise-type-byte work in \2476.6.5 \227 so even the null) Tj T* 0 Tw (result paid for itself in correctness progress.) Tj T* ET Q Q q -1 0 0 1 57.02362 627.0236 cm -q -BT 1 0 0 1 0 26 Tm 22.60709 Tw 12 TL /F3 10 Tf 0 0 0 rg (Reproduce:) Tj /F1 10 Tf ( ) Tj /F5 10 Tf (make) Tj ( ) Tj (bench-gc-adaptive) Tj /F1 10 Tf ( \(source: ) Tj /F5 10 Tf (tests/bench-gc-adaptive.sh) Tj /F1 10 Tf (,) Tj T* 0 Tw .950696 Tw /F5 10 Tf (examples/bench-gc-adaptive.lsp) Tj /F1 10 Tf (\). Each \(workload \327 mode\) pair runs in a fresh asm-gc process so) Tj T* 0 Tw (results don't contaminate each other across phases.) Tj T* ET -Q -Q -q -1 0 0 1 57.02362 601.0236 cm +1 0 0 1 57.02362 703.0236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 Tf .133333 .133333 .133333 rg (6.6.4 Validation: HTTP Server Under Sustained Load) Tj T* ET Q Q q -1 0 0 1 57.02362 535.0236 cm +1 0 0 1 57.02362 637.0236 cm q BT 1 0 0 1 0 50 Tm .613797 Tw 12 TL /F1 10 Tf 0 0 0 rg (The reason we built the GC at all was to let long-running asm HTTP servers not leak. Bench-gc-http drives) Tj T* 0 Tw 2.274261 Tw /F5 10 Tf (examples/http-server.lsp) Tj /F1 10 Tf ( \(uses the portable ) Tj /F5 10 Tf (heap-snapshot) Tj /F1 10 Tf ( / ) Tj /F5 10 Tf (heap-restore) Tj /F1 10 Tf ( arena loop\) and) Tj T* 0 Tw 1.382038 Tw /F5 10 Tf (examples/http-server-noarena.lsp) Tj /F1 10 Tf ( \(same server with the snapshot pattern removed\) under 5,000) Tj T* 0 Tw 1.91989 Tw (concurrent requests against each asm build. The matrix has four cells because the snapshot pattern is) Tj T* 0 Tw (orthogonal to the collector: either, both, or neither.) Tj T* ET Q Q q -1 0 0 1 57.02362 529.0236 cm +1 0 0 1 57.02362 631.0236 cm Q q -1 0 0 1 57.02362 427.0236 cm +1 0 0 1 57.02362 529.0236 cm q 1 1 1 rg n 0 102 481.2283 -30 re f* @@ -6252,22 +6152,22 @@ Q Q Q q -1 0 0 1 57.02362 427.0236 cm +1 0 0 1 57.02362 529.0236 cm Q q -1 0 0 1 57.02362 409.0236 cm +1 0 0 1 57.02362 511.0236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F1 10 Tf 0 0 0 rg (All four cells validate cleanly at ) Tj /F3 10 Tf (50,000 requests per cell) Tj /F1 10 Tf ( \(up from the original 5,000\):) Tj T* ET Q Q q -1 0 0 1 57.02362 403.0236 cm +1 0 0 1 57.02362 505.0236 cm Q q -1 0 0 1 57.02362 403.0236 cm +1 0 0 1 57.02362 505.0236 cm Q q -1 0 0 1 57.02362 367.0236 cm +1 0 0 1 57.02362 469.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -6289,10 +6189,10 @@ Q Q Q q -1 0 0 1 57.02362 361.0236 cm +1 0 0 1 57.02362 463.0236 cm Q q -1 0 0 1 57.02362 325.0236 cm +1 0 0 1 57.02362 427.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -6314,10 +6214,10 @@ Q Q Q q -1 0 0 1 57.02362 319.0236 cm +1 0 0 1 57.02362 421.0236 cm Q q -1 0 0 1 57.02362 271.0236 cm +1 0 0 1 57.02362 373.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -6339,74 +6239,74 @@ Q Q Q q -1 0 0 1 57.02362 253.0236 cm +1 0 0 1 57.02362 355.0236 cm Q q -1 0 0 1 57.02362 175.0236 cm +1 0 0 1 57.02362 277.0236 cm q BT 1 0 0 1 0 62 Tm 5.961223 Tw 12 TL /F3 10 Tf 0 0 0 rg (Precise-type dispatch was the fix.) Tj /F1 10 Tf ( Cell 4 was crashing at first GC until we replaced the) Tj T* 0 Tw 1.538941 Tw (conservative-scan-plus-sentinel-checks walker with a precise one. Every heap block's 8-byte header now) Tj T* 0 Tw 3.27789 Tw (carries an explicit type byte at bits 8\22615 \(see \2476.6.5 below for the redesign\), so ) Tj /F5 10 Tf (gc_mark_drain) Tj /F1 10 Tf (,) Tj T* 0 Tw .88989 Tw /F5 10 Tf (gc_mark_env) Tj /F1 10 Tf (, and the arena-escape scan dispatch on the type byte instead of guessing from block size.) Tj T* 0 Tw 1.226147 Tw (This eliminated the entire class of "24-byte env vs string" / "40-byte vector vs string" type-confusion bugs) Tj T* 0 Tw (we'd been patching one-by-one.) Tj T* ET Q Q q -1 0 0 1 57.02362 133.0236 cm +1 0 0 1 57.02362 235.0236 cm q BT 1 0 0 1 0 26 Tm .666772 Tw 12 TL /F3 10 Tf 0 0 0 rg (Honest read.) Tj /F1 10 Tf ( The GC build now succeeds at the "GC instead of snapshots" use case. ) Tj /F5 10 Tf (heap-snapshot) Tj /F1 10 Tf ( +) Tj T* 0 Tw .132362 Tw /F5 10 Tf (heap-restore) Tj /F1 10 Tf ( remain the idiomatic production pattern \(they're cheaper per-request and portable across all) Tj T* 0 Tw (tiers\), but the GC is finally a correct fallback for code that doesn't manage arenas explicitly.) Tj T* ET Q Q q +1 0 0 1 57.02362 157.0236 cm +q +BT 1 0 0 1 0 62 Tm .974609 Tw 12 TL /F3 10 Tf 0 0 0 rg (Soak result.) Tj /F1 10 Tf ( At 50,000 HTTP requests \327 16 concurrent clients, the GC build serves ~610 req/s with peak) Tj T* 0 Tw .635702 Tw (RSS of 1,092 KB \227 one heap chunk, steady state. 852 KB of growth represents the heap filling up exactly) Tj T* 0 Tw 1.068556 Tw (once, after which the collector cycles through reclaimed space indefinitely. Throughput is within 4% of the) Tj T* 0 Tw 1.959104 Tw (no-GC bump-only configuration on idiomatic snapshot-based code, and within 3% of the leaking no-GC) Tj T* 0 Tw 2.864029 Tw (baseline on the no-snapshot configuration. Naive mark-sweep is now a production-grade allocator for) Tj T* 0 Tw (long-running asm servers that don't want to think about arena discipline.) Tj T* ET +Q +Q +q 1 0 0 1 57.02362 79.02362 cm q -BT 1 0 0 1 0 38 Tm .974609 Tw 12 TL /F3 10 Tf 0 0 0 rg (Soak result.) Tj /F1 10 Tf ( At 50,000 HTTP requests \327 16 concurrent clients, the GC build serves ~610 req/s with peak) Tj T* 0 Tw .635702 Tw (RSS of 1,092 KB \227 one heap chunk, steady state. 852 KB of growth represents the heap filling up exactly) Tj T* 0 Tw 1.068556 Tw (once, after which the collector cycles through reclaimed space indefinitely. Throughput is within 4% of the) Tj T* 0 Tw 1.959104 Tw (no-GC bump-only configuration on idiomatic snapshot-based code, and within 3% of the leaking no-GC) Tj T* 0 Tw ET +BT 1 0 0 1 0 62 Tm 1.51589 Tw 12 TL /F3 10 Tf 0 0 0 rg (Root-cause fix that made this work.) Tj /F1 10 Tf ( The earlier residual crashes \(hash-set bench under the GC build,) Tj T* 0 Tw -0.094803 Tw (arena bench, memory bench all surfacing ) Tj /F5 10 Tf (unbound) Tj ( ) Tj (variable) Tj /F1 10 Tf ( errors\) traced to a single bug in how the type) Tj T* 0 Tw .943022 Tw (byte was being set on reused free-list blocks. The patching was using ) Tj /F5 10 Tf (orq) Tj ( ) Tj ($\(HT_X) Tj ( ) Tj (<) Tj (<) Tj ( ) Tj (8\),) Tj ( ) Tj (-8\(%rax\)) Tj /F1 10 Tf T* 0 Tw .347417 Tw (which MERGES bits \227 if a block was previously a vector \(type 5, binary ) Tj /F5 10 Tf (101) Tj /F1 10 Tf (\) and got re-allocated as a pair) Tj T* 0 Tw .774908 Tw (\(type 1, binary ) Tj /F5 10 Tf (001) Tj /F1 10 Tf (\), the resulting merged type byte was still ) Tj /F5 10 Tf (101) Tj /F1 10 Tf ( \(still vector\). The walker then treated the) Tj T* 0 Tw 2.153071 Tw (pair as a vector, read its ) Tj /F5 10 Tf (length) Tj /F1 10 Tf ( from the header's size field, and walked off the block end. Fix: use) Tj T* 0 Tw ET Q Q endstream endobj -163 0 obj +166 0 obj << -/Length 9567 +/Length 9003 >> stream 1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q 1 0 0 1 57.02362 741.0236 cm q -BT 1 0 0 1 0 14 Tm 2.864029 Tw 12 TL /F1 10 Tf 0 0 0 rg (baseline on the no-snapshot configuration. Naive mark-sweep is now a production-grade allocator for) Tj T* 0 Tw (long-running asm servers that don't want to think about arena discipline.) Tj T* ET +BT 1 0 0 1 0 14 Tm 1.249882 Tw 12 TL /F5 10 Tf 0 0 0 rg (movb) Tj ( ) Tj ($HT_X,) Tj ( ) Tj (-7\(%rax\)) Tj /F1 10 Tf ( to OVERWRITE the byte instead of OR'ing. One-instruction change at 18 call) Tj T* 0 Tw (sites, and every previously-residual crash went away on the first rerun.) Tj T* ET Q Q q -1 0 0 1 57.02362 639.0236 cm -q -BT 1 0 0 1 0 86 Tm 1.51589 Tw 12 TL /F3 10 Tf 0 0 0 rg (Root-cause fix that made this work.) Tj /F1 10 Tf ( The earlier residual crashes \(hash-set bench under the GC build,) Tj T* 0 Tw -0.094803 Tw (arena bench, memory bench all surfacing ) Tj /F5 10 Tf (unbound) Tj ( ) Tj (variable) Tj /F1 10 Tf ( errors\) traced to a single bug in how the type) Tj T* 0 Tw .943022 Tw (byte was being set on reused free-list blocks. The patching was using ) Tj /F5 10 Tf (orq) Tj ( ) Tj ($\(HT_X) Tj ( ) Tj (<) Tj (<) Tj ( ) Tj (8\),) Tj ( ) Tj (-8\(%rax\)) Tj /F1 10 Tf T* 0 Tw .347417 Tw (which MERGES bits \227 if a block was previously a vector \(type 5, binary ) Tj /F5 10 Tf (101) Tj /F1 10 Tf (\) and got re-allocated as a pair) Tj T* 0 Tw .774908 Tw (\(type 1, binary ) Tj /F5 10 Tf (001) Tj /F1 10 Tf (\), the resulting merged type byte was still ) Tj /F5 10 Tf (101) Tj /F1 10 Tf ( \(still vector\). The walker then treated the) Tj T* 0 Tw 2.153071 Tw (pair as a vector, read its ) Tj /F5 10 Tf (length) Tj /F1 10 Tf ( from the header's size field, and walked off the block end. Fix: use) Tj T* 0 Tw 1.249882 Tw /F5 10 Tf (movb) Tj ( ) Tj ($HT_X,) Tj ( ) Tj (-7\(%rax\)) Tj /F1 10 Tf ( to OVERWRITE the byte instead of OR'ing. One-instruction change at 18 call) Tj T* 0 Tw (sites, and every previously-residual crash went away on the first rerun.) Tj T* ET -Q -Q -q -1 0 0 1 57.02362 609.0236 cm +1 0 0 1 57.02362 711.0236 cm q BT 1 0 0 1 0 14 Tm 91.99278 Tw 12 TL /F3 10 Tf 0 0 0 rg (Reproduce:) Tj /F1 10 Tf ( ) Tj /F5 10 Tf (make) Tj ( ) Tj (bench-gc-http) Tj /F1 10 Tf (. Tuning:) Tj T* 0 Tw /F5 10 Tf (REQUESTS=10000) Tj ( ) Tj (CONCURRENCY=16) Tj ( ) Tj (VCAP=524288) Tj ( ) Tj (bash) Tj ( ) Tj (tests/bench-gc-http.sh) Tj /F1 10 Tf (.) Tj T* ET Q Q q -1 0 0 1 57.02362 583.0236 cm +1 0 0 1 57.02362 685.0236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 Tf .133333 .133333 .133333 rg (6.6.5 Precise Block Typing: Killing a Class of Bugs) Tj T* ET Q Q q -1 0 0 1 57.02362 505.0236 cm +1 0 0 1 57.02362 607.0236 cm q BT 1 0 0 1 0 62 Tm .088797 Tw 12 TL /F1 10 Tf 0 0 0 rg (Earlier versions of the meta-GC walkers inferred block type from ) Tj /F4 10 Tf (size) Tj /F1 10 Tf ( alone. A 24-byte block could be an env) Tj T* 0 Tw 1.498138 Tw (node, a closure, or a 16-character string; a 40-byte block could be a 4-element vector or a 25-character) Tj T* 0 Tw .485197 Tw (string. The walkers tried to guess and guessed wrong under the conservative stack scan \227 any stack word) Tj T* 0 Tw .905522 Tw (whose low 3 bits happened to match ) Tj /F5 10 Tf (TAG_SYM) Tj /F1 10 Tf ( or ) Tj /F5 10 Tf (7) Tj /F1 10 Tf ( \(vector-family\) would be dereferenced, its block's size) Tj T* 0 Tw 1.69589 Tw (read from the header, and the walker would interpret subsequent payload bytes as tagged child values.) Tj T* 0 Tw (Strings-as-vectors reading 200 bytes past their end was the canonical failure.) Tj T* ET Q Q q -1 0 0 1 57.02362 487.0236 cm +1 0 0 1 57.02362 589.0236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (We fixed this by adding an explicit type byte to every heap block's header:) Tj T* ET Q Q q -1 0 0 1 57.02362 446.6236 cm +1 0 0 1 57.02362 548.6236 cm q q 1 0 0 1 0 0 cm @@ -6427,40 +6327,40 @@ Q Q Q q -1 0 0 1 57.02362 390.6236 cm +1 0 0 1 57.02362 492.6236 cm q BT 1 0 0 1 0 38 Tm 5.818335 Tw 12 TL /F1 10 Tf 0 0 0 rg (Type constants \() Tj /F5 10 Tf (HT_PAIR) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (HT_CLOSURE) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (HT_STRING) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (HT_SYMBOL) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (HT_VECTOR) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (HT_HASHTABLE) Tj /F1 10 Tf (,) Tj T* 0 Tw .948196 Tw /F5 10 Tf (HT_HASHSET) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (HT_ENVNODE) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (HT_CHAINNODE) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (HT_PADDING) Tj /F1 10 Tf (\) are set at every ) Tj /F5 10 Tf (heap_alloc) Tj /F1 10 Tf ( call site in the) Tj T* 0 Tw .427686 Tw (GC build. Every walker \227 mark, escape-scan, sweep \227 now dispatches on the type byte instead of size. A) Tj T* 0 Tw (string can never be walked as a vector; an env node can never be confused with a closure.) Tj T* ET Q Q q -1 0 0 1 57.02362 336.6236 cm +1 0 0 1 57.02362 438.6236 cm q BT 1 0 0 1 0 38 Tm .051917 Tw 12 TL /F1 10 Tf 0 0 0 rg (Cost: one extra ) Tj /F5 10 Tf (orq) Tj /F1 10 Tf ( at each of ~15 allocation sites \(a few nanoseconds per call\) and 16 bits of header space) Tj T* 0 Tw 1.318726 Tw (per block \(negligible given minimum block size is 16 payload bytes + 8 header bytes\). Benefit: the entire) Tj T* 0 Tw .669353 Tw ("conservative scan misidentifies X as Y" class of bugs goes away. Cell 4 of \2476.6.4 flipped from "crashes at) Tj T* 0 Tw (first GC" to "working correctly" when this landed.) Tj T* ET Q Q q -1 0 0 1 57.02362 294.6236 cm +1 0 0 1 57.02362 396.6236 cm q BT 1 0 0 1 0 26 Tm .608647 Tw 12 TL /F1 10 Tf 0 0 0 rg (The precise-type change also simplified the walkers: the special-case "is the first word -1 \(hash-table\) or -2) Tj T* 0 Tw .998453 Tw (\(hash-set\) or a small positive number \(vector length\)" dispatch in ) Tj /F5 10 Tf (gc_mark_drain) Tj /F1 10 Tf ( collapsed into a single) Tj T* 0 Tw /F5 10 Tf (cmp) Tj /F1 10 Tf ( on the type byte. ~50 lines of heuristic-guessing code deleted.) Tj T* ET Q Q q -1 0 0 1 57.02362 255.4236 cm +1 0 0 1 57.02362 357.4236 cm q BT 1 0 0 1 0 3.2 Tm 135.5182 0 Td 19.2 TL /F2 16 Tf .133333 .133333 .133333 rg (7. Portal: Feedback Across Time) Tj T* -135.5182 0 Td ET Q Q q -1 0 0 1 57.02362 213.4236 cm +1 0 0 1 57.02362 315.4236 cm q BT 1 0 0 1 0 26 Tm .17989 Tw 12 TL /F1 10 Tf 0 0 0 rg (A continuation is feedback within a process. A portal is feedback across processes. Same primitive, different) Tj T* 0 Tw 1.06631 Tw (scope: capture machine state, serialize it, reload it elsewhere, resume. Lumbda ships three portal formats) Tj T* 0 Tw (with different tradeoffs & constituencies.) Tj T* ET Q Q q -1 0 0 1 57.02362 207.4236 cm +1 0 0 1 57.02362 309.4236 cm Q q -1 0 0 1 57.02362 111.4236 cm +1 0 0 1 57.02362 213.4236 cm q 1 1 1 rg n 0 96 481.2283 -18 re f* @@ -6663,38 +6563,29 @@ Q Q Q q -1 0 0 1 57.02362 111.4236 cm +1 0 0 1 57.02362 213.4236 cm Q q -1 0 0 1 57.02362 81.42362 cm +1 0 0 1 57.02362 183.4236 cm q 0 0 0 rg BT 1 0 0 1 0 14 Tm /F1 10 Tf 12 TL .49713 Tw (Times measured on a 4-binding workload \(int + list + string + fib\(30\) result\) excluding process startup. "k" =) Tj T* 0 Tw (continuation.) Tj T* ET Q Q - -endstream -endobj -164 0 obj -<< -/Length 9884 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 751.8236 cm +1 0 0 1 57.02362 152.2236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (7.1 S-Expression Portal \227 the Portable One) Tj T* ET Q Q q -1 0 0 1 57.02362 731.8236 cm +1 0 0 1 57.02362 132.2236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F1 10 Tf 0 0 0 rg (The most boring format is the most portable. An S-expression portal is a sequence of ) Tj /F5 10 Tf (define) Tj /F1 10 Tf ( forms:) Tj T* ET Q Q q -1 0 0 1 57.02362 662.6236 cm +1 0 0 1 57.02362 63.02362 cm q q 1 0 0 1 0 0 cm @@ -6714,36 +6605,45 @@ Q Q Q Q + +endstream +endobj +167 0 obj +<< +/Length 10081 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 630.6236 cm +1 0 0 1 57.02362 741.0236 cm q 0 0 0 rg BT 1 0 0 1 0 14 Tm /F1 10 Tf 12 TL .550522 Tw (Every Scheme implementation in the world can already read this. No schema, no decoder, no version field.) Tj T* 0 Tw (The file is a Scheme program; loading it is evaluating it.) Tj T* ET Q Q q -1 0 0 1 57.02362 576.6236 cm +1 0 0 1 57.02362 687.0236 cm q BT 1 0 0 1 0 38 Tm .702256 Tw 12 TL /F3 10 Tf 0 0 0 rg (The key insight: the language IS the interchange format.) Tj /F1 10 Tf ( We did not design this. R. Kent Dybvig didn't.) Tj T* 0 Tw 1.188726 Tw (John McCarthy didn't. It is a structural consequence of homoiconicity: if the syntax of the language is the) Tj T* 0 Tw 5.458196 Tw (syntax of its data structures, then data serialization is language serialization. Portability across) Tj T* 0 Tw (implementations is free \227 it arrives with the parser.) Tj T* ET Q Q q -1 0 0 1 57.02362 534.6236 cm +1 0 0 1 57.02362 645.0236 cm q BT 1 0 0 1 0 26 Tm .511772 Tw 12 TL /F1 10 Tf 0 0 0 rg (Producer side: assemble the file with ) Tj /F5 10 Tf (\(display) Tj ( ) Tj (...\)) Tj /F1 10 Tf ( & ) Tj /F5 10 Tf (\(write) Tj ( ) Tj (...\)) Tj /F1 10 Tf ( to an output port. Consumer side:) Tj T* 0 Tw 3.693453 Tw /F5 10 Tf (\(load) Tj ( ) Tj ("file.sexp"\)) Tj /F1 10 Tf (. Both sides exist in every implementation, giving us a 3\3273 matrix of valid) Tj T* 0 Tw (exchanges.) Tj T* ET Q Q q -1 0 0 1 57.02362 503.4236 cm +1 0 0 1 57.02362 613.8236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (7.2 Cross-Implementation Exchange Matrix) Tj T* ET Q Q q -1 0 0 1 57.02362 489.4236 cm +1 0 0 1 57.02362 599.8236 cm Q q -1 0 0 1 57.02362 381.4236 cm +1 0 0 1 57.02362 491.8236 cm q 1 1 1 rg n 0 108 481.2283 -18 re f* @@ -6814,28 +6714,28 @@ q 1 0 0 1 99.14097 57 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 192.2819 57 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 285.4229 57 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 378.5639 57 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q @@ -6849,28 +6749,28 @@ q 1 0 0 1 99.14097 39 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 192.2819 39 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 285.4229 39 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 378.5639 39 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q @@ -6884,28 +6784,28 @@ q 1 0 0 1 99.14097 21 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 192.2819 21 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 285.4229 21 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 378.5639 21 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q @@ -6919,28 +6819,28 @@ q 1 0 0 1 99.14097 3 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 192.2819 3 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 285.4229 3 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 378.5639 3 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q @@ -6965,41 +6865,41 @@ Q Q Q q -1 0 0 1 57.02362 381.4236 cm +1 0 0 1 57.02362 491.8236 cm Q q -1 0 0 1 57.02362 339.4236 cm +1 0 0 1 57.02362 449.8236 cm q BT 1 0 0 1 0 26 Tm .856835 Tw 12 TL /F1 10 Tf 0 0 0 rg (16 of 16. Verified by ) Tj /F5 10 Tf (tests/portal-cross-test.sh) Tj /F1 10 Tf ( \() Tj /F3 10 Tf (make bench-portal-cross) Tj /F1 10 Tf (\). The ) Tj /F5 10 Tf (asm-gc) Tj /F1 10 Tf ( column) Tj T* 0 Tw .316962 Tw (expands the matrix from 9 to 16 cells \227 the GC build's ) Tj /F5 10 Tf (portal-save) Tj /F1 10 Tf ( emits the same S-expression format,) Tj T* 0 Tw (so it exchanges with every other tier \(\2477.4.1 below\).) Tj T* ET Q Q q -1 0 0 1 57.02362 297.4236 cm +1 0 0 1 57.02362 407.8236 cm q 0 0 0 rg BT 1 0 0 1 0 26 Tm /F1 10 Tf 12 TL .526019 Tw (This matters because it defeats the "version lock-in" trap. If the JSON portal were the only option, a Python) Tj T* 0 Tw 2.478453 Tw (3.15 producer could emit structures a C consumer couldn't parse. With S-expression portals, the only) Tj T* 0 Tw (dependency is a parser that handles the subset of forms in the file. Every implementation already has one.) Tj T* ET Q Q q -1 0 0 1 57.02362 266.2236 cm +1 0 0 1 57.02362 376.6236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (7.3 JSON Portal \227 Graph-Aware, Continuation-Preserving) Tj T* ET Q Q q -1 0 0 1 57.02362 234.2236 cm +1 0 0 1 57.02362 344.6236 cm q BT 1 0 0 1 0 14 Tm .373453 Tw 12 TL /F1 10 Tf 0 0 0 rg (When you need to preserve shared references, cycles, closures, or a ) Tj /F4 10 Tf (live continuation) Tj /F1 10 Tf (, S-expressions aren't) Tj T* 0 Tw (enough. The JSON portal \(Python & C\) performs graph-aware serialization:) Tj T* ET Q Q q -1 0 0 1 57.02362 228.2236 cm +1 0 0 1 57.02362 338.6236 cm Q q -1 0 0 1 57.02362 228.2236 cm +1 0 0 1 57.02362 338.6236 cm Q q -1 0 0 1 57.02362 216.2236 cm +1 0 0 1 57.02362 326.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7021,10 +6921,10 @@ Q Q Q q -1 0 0 1 57.02362 210.2236 cm +1 0 0 1 57.02362 320.6236 cm Q q -1 0 0 1 57.02362 198.2236 cm +1 0 0 1 57.02362 308.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7047,10 +6947,10 @@ Q Q Q q -1 0 0 1 57.02362 192.2236 cm +1 0 0 1 57.02362 302.6236 cm Q q -1 0 0 1 57.02362 180.2236 cm +1 0 0 1 57.02362 290.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7072,10 +6972,10 @@ Q Q Q q -1 0 0 1 57.02362 174.2236 cm +1 0 0 1 57.02362 284.6236 cm Q q -1 0 0 1 57.02362 162.2236 cm +1 0 0 1 57.02362 272.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7098,10 +6998,10 @@ Q Q Q q -1 0 0 1 57.02362 156.2236 cm +1 0 0 1 57.02362 266.6236 cm Q q -1 0 0 1 57.02362 144.2236 cm +1 0 0 1 57.02362 254.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7124,31 +7024,22 @@ Q Q Q q -1 0 0 1 57.02362 126.2236 cm +1 0 0 1 57.02362 236.6236 cm Q q -1 0 0 1 57.02362 96.22362 cm +1 0 0 1 57.02362 206.6236 cm q BT 1 0 0 1 0 14 Tm 2.974168 Tw 12 TL /F1 10 Tf 0 0 0 rg (Deserialization is two-pass: shell pass creates empty object shells & assigns reference IDs, fill pass) Tj T* 0 Tw (populates pointers & values. This handles the closure-that-captures-itself pattern cleanly.) Tj T* ET Q Q - -endstream -endobj -165 0 obj -<< -/Length 7065 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 729.0236 cm +1 0 0 1 57.02362 164.6236 cm q BT 1 0 0 1 0 26 Tm 4.719816 Tw 12 TL /F1 10 Tf 0 0 0 rg (During VM execution, ) Tj /F5 10 Tf (portal-checkpoint!) Tj /F1 10 Tf ( triggers at ) Tj /F5 10 Tf (OP_JUMP) Tj /F1 10 Tf ( & ) Tj /F5 10 Tf (OP_TAIL_CALL) Tj /F1 10 Tf ( instructions,) Tj T* 0 Tw 1.439168 Tw (capturing the current continuation, serializing it to a ) Tj /F5 10 Tf (.portal) Tj /F1 10 Tf ( file, & continuing. Resumption restores the) Tj T* 0 Tw (saved state & continues execution from the exact instruction where the checkpoint occurred.) Tj T* ET Q Q q -1 0 0 1 57.02362 698.2236 cm +1 0 0 1 57.02362 133.8236 cm q q 1 0 0 1 0 0 cm @@ -7169,26 +7060,35 @@ Q Q Q q -1 0 0 1 57.02362 678.2236 cm +1 0 0 1 57.02362 113.8236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (The computation does not need to restart from the beginning.) Tj T* ET Q Q + +endstream +endobj +168 0 obj +<< +/Length 7349 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 647.0236 cm +1 0 0 1 57.02362 751.8236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (7.4 Binary Heap Dump \227 the Fast One) Tj T* ET Q Q q -1 0 0 1 57.02362 615.0236 cm +1 0 0 1 57.02362 719.8236 cm q BT 1 0 0 1 0 14 Tm .625197 Tw 12 TL /F1 10 Tf 0 0 0 rg (The ) Tj /F3 10 Tf (no-GC) Tj /F1 10 Tf ( asm implementation ships a direct-dump portal: write the raw heap bytes, the ) Tj /F5 10 Tf (r14) Tj /F1 10 Tf ( \(env\) & ) Tj /F5 10 Tf (r15) Tj /F1 10 Tf T* 0 Tw (\(bump pointer\) registers, the heap base address, & a magic header. No parsing, no encoding.) Tj T* ET Q Q q -1 0 0 1 57.02362 517.0236 cm +1 0 0 1 57.02362 621.8236 cm q q 1 0 0 1 0 0 cm @@ -7209,31 +7109,31 @@ Q Q Q q -1 0 0 1 57.02362 473.0236 cm +1 0 0 1 57.02362 577.8236 cm q BT 1 0 0 1 0 26 Tm 1.387739 Tw 12 TL /F1 10 Tf 0 0 0 rg (Sub-millisecond save & resume. The MAP_FIXED trick is why it works across processes: because every) Tj T* 0 Tw 1.474556 Tw (pointer inside the heap is an absolute address, resuming at a different address would require relocation.) Tj T* 0 Tw (Mapping at the same address keeps pointers live.) Tj T* ET Q Q q -1 0 0 1 57.02362 419.0236 cm +1 0 0 1 57.02362 523.8236 cm q BT 1 0 0 1 0 38 Tm 1.067739 Tw 12 TL /F1 10 Tf 0 0 0 rg (Constraints: same architecture, same binary layout, same process model. An asm binary portal written on) Tj T* 0 Tw .022545 Tw (one box resumes on another x86_64 Linux box running the same asm binary. It does not resume on a rebuilt) Tj T* 0 Tw 1.065522 Tw (binary \227 the BSS-resident symbol table ) Tj /F5 10 Tf (sym_table) Tj /F1 10 Tf ( is not in the heap dump, so interned symbols would) Tj T* 0 Tw (need to be reinterned. That's the price of trivial serialization.) Tj T* ET Q Q q -1 0 0 1 57.02362 393.0236 cm +1 0 0 1 57.02362 497.8236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 Tf .133333 .133333 .133333 rg (7.4.1 The GC Build Uses S-Expressions) Tj T* ET Q Q q -1 0 0 1 57.02362 327.0236 cm +1 0 0 1 57.02362 431.8236 cm q -BT 1 0 0 1 0 50 Tm 1.037917 Tw 12 TL /F1 10 Tf 0 0 0 rg (The ) Tj /F3 10 Tf (GC) Tj /F1 10 Tf ( asm build can't use the binary heap dump because the heap is a linked list of chunks with typed) Tj T* 0 Tw .619897 Tw (block headers and a free list \227 raw-byte serialization would lose the structure. Rather than inventing portal) Tj T* 0 Tw 1.255596 Tw (v2 with chunk tables and pointer-relocation metadata, the GC build's ) Tj /F5 10 Tf (portal-save) Tj /F1 10 Tf ( walks the global env) Tj T* 0 Tw .200596 Tw (chain from ) Tj /F5 10 Tf (%r14) Tj /F1 10 Tf ( and emits one ) Tj /F5 10 Tf (\(define) Tj ( ) Tj (<) Tj (sym) Tj (>) Tj ( ) Tj (\(quote) Tj ( ) Tj (<) Tj (val) Tj (>) Tj (\)\)) Tj /F1 10 Tf ( form per binding. ) Tj /F5 10 Tf (portal-resume) Tj /F1 10 Tf ( is) Tj T* 0 Tw (equivalent to ) Tj /F5 10 Tf (\(load) Tj ( ) Tj (") Tj (<) Tj (filename) Tj (>) Tj ("\)) Tj /F1 10 Tf ( \227 read every form and eval it.) Tj T* ET +BT 1 0 0 1 0 50 Tm 1.254207 Tw 12 TL /F1 10 Tf 0 0 0 rg (The GC asm build can't use the binary heap dump \227 its heap is a linked list of chunks with typed block) Tj T* 0 Tw -0.070686 Tw (headers and a free list, so raw-byte serialization would lose the structure. Rather than inventing portal v2 with) Tj T* 0 Tw .144168 Tw (chunk tables and pointer-relocation metadata, the GC build's ) Tj /F5 10 Tf (portal-save) Tj /F1 10 Tf ( walks the global env chain from) Tj T* 0 Tw 1.197565 Tw /F5 10 Tf (%r14) Tj /F1 10 Tf ( and emits one ) Tj /F5 10 Tf (\(define) Tj ( ) Tj (<) Tj (sym) Tj (>) Tj ( ) Tj (\(quote) Tj ( ) Tj (<) Tj (val) Tj (>) Tj (\)\)) Tj /F1 10 Tf ( per binding; ) Tj /F5 10 Tf (portal-resume) Tj /F1 10 Tf ( is equivalent to) Tj T* 0 Tw /F5 10 Tf (\(load) Tj ( ) Tj (") Tj (<) Tj (filename) Tj (>) Tj ("\)) Tj /F1 10 Tf (. ) Tj /F3 10 Tf (The language is its own wire format.) Tj T* ET Q Q q -1 0 0 1 57.02362 267.4236 cm +1 0 0 1 57.02362 372.2236 cm q q 1 0 0 1 0 0 cm @@ -7254,65 +7154,37 @@ Q Q Q q -1 0 0 1 57.02362 223.4236 cm +1 0 0 1 57.02362 292.2236 cm q -0 0 0 rg -BT 1 0 0 1 0 26 Tm /F1 10 Tf 12 TL 1.557565 Tw (Every non-builtin, non-closure binding round-trips. Closures and builtins are skipped \227 closures can't be) Tj T* 0 Tw .869223 Tw (faithfully re-read from their printed form, builtins get re-created from the target interpreter's prelude. This is) Tj T* 0 Tw (the same treatment the JSON portal already gives to builtins \(\2477.3\).) Tj T* ET +BT 1 0 0 1 0 62 Tm 1.985257 Tw 12 TL /F1 10 Tf 0 0 0 rg (The trade is portability for capacity: every non-builtin, non-closure binding round-trips \(closures can't be) Tj T* 0 Tw 1.716772 Tw (faithfully re-read; builtins get re-created from the target's prelude \227 same policy as \2477.3 JSON\), and in) Tj T* 0 Tw 2.60295 Tw (exchange ) Tj /F3 10 Tf (every GC-build portal resumes on every other tier) Tj /F1 10 Tf ( with no MAP_FIXED, no architecture) Tj T* 0 Tw 1.531772 Tw (constraint, no "same binary" requirement. The \2477.2 matrix gains an asm-gc column and all 16 cells stay) Tj T* 0 Tw .021575 Tw (green. A v1 prefix line \227 ) Tj /F5 10 Tf (;;) Tj ( ) Tj (lumbda-portal) Tj ( ) Tj (v1) Tj /F1 10 Tf ( \227 gates the format so future schema changes can break) Tj T* 0 Tw (cleanly; the S-expression portal is a ) Tj /F3 10 Tf (migration format) Tj /F1 10 Tf ( for live handoff, not an archive format.) Tj T* ET Q Q q -1 0 0 1 57.02362 157.4236 cm -q -BT 1 0 0 1 0 50 Tm .145197 Tw 12 TL /F3 10 Tf 0 0 0 rg (Trade-off.) Tj /F1 10 Tf ( The GC build's portal is slower than the binary dump \(walks each binding through the printer\) and) Tj T* 0 Tw 1.91989 Tw (stricter about what it can preserve \(data only, no closures or continuations\). In exchange: ) Tj /F3 10 Tf (every portal) Tj T* 0 Tw 2.369223 Tw (produced by the GC build resumes on every other tier) Tj /F1 10 Tf (, with no MAP_FIXED trick, no architecture) Tj T* 0 Tw -0.128333 Tw (constraint, no "same binary" requirement. A GC-asm producer can hand a portal to a Python consumer \227 we) Tj T* 0 Tw (added the asm-gc column to the \2477.2 matrix and all 16 cells are green.) Tj T* ET -Q -Q -q -1 0 0 1 57.02362 67.42362 cm -q -BT 1 0 0 1 0 74 Tm .352256 Tw 12 TL /F3 10 Tf 0 0 0 rg (Version tag.) Tj /F1 10 Tf ( Every v1 portal starts with a single comment line \227 ) Tj /F5 10 Tf (;;) Tj ( ) Tj (lumbda-portal) Tj ( ) Tj (v1) Tj /F1 10 Tf ( \227 that Scheme) Tj T* 0 Tw 1.054609 Tw (readers already skip but the resume path actively parses. The matching policy: a file beginning with ) Tj /F5 10 Tf (;;) Tj /F1 10 Tf ( is) Tj T* 0 Tw .969272 Tw (required to match the v1 prefix exactly, or ) Tj /F5 10 Tf (portal-resume) Tj /F1 10 Tf ( returns ) Tj /F5 10 Tf (#f) Tj /F1 10 Tf ( instead of trying to evaluate forms) Tj T* 0 Tw .037808 Tw (that may use syntax the current reader doesn't understand. A file that doesn't begin with ) Tj /F5 10 Tf (;;) Tj /F1 10 Tf ( at all is accepted) Tj T* 0 Tw .136772 Tw (as legacy \(pre-v1\) for back-compat. The S-expression portal is a ) Tj /F3 10 Tf (migration format) Tj /F1 10 Tf (, not an archive format \227) Tj T* 0 Tw 1.54465 Tw (it exists to hand live data across a process boundary at handoff time, not to carry state across years of) Tj T* 0 Tw 1.13755 Tw (language evolution. When we need the latter, it earns its own format with proper schema evolution and a) Tj T* 0 Tw ET -Q -Q - -endstream -endobj -166 0 obj -<< -/Length 8974 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET -q -1 0 0 1 57.02362 741.0236 cm -q -BT 1 0 0 1 0 14 Tm 1.366962 Tw 12 TL /F1 10 Tf 0 0 0 rg (builtin-rename mapping table; the current portal stays simple and the version tag is the hook that lets v2) Tj T* 0 Tw (happen cleanly when someone actually needs it.) Tj T* ET -Q -Q -q -1 0 0 1 57.02362 709.8236 cm +1 0 0 1 57.02362 261.0236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (7.5 Portal Preserves RNG State) Tj T* ET Q Q q -1 0 0 1 57.02362 653.8236 cm +1 0 0 1 57.02362 205.0236 cm q BT 1 0 0 1 0 38 Tm 2.492025 Tw 12 TL /F1 10 Tf 0 0 0 rg (A portal that captures environment bindings, continuations, and heap is still not enough for stochastic) Tj T* 0 Tw .16389 Tw (simulations. If the interpreter draws from a random-number generator, and that RNG's state lives outside the) Tj T* 0 Tw .423917 Tw (heap \227 in BSS, in a Python module variable, in a thread-local \227 then save ) Tj /F6 10 Tf 12 TL (\256) Tj /F1 10 Tf 12 TL ( load ) Tj /F6 10 Tf 12 TL (\256) Tj /F1 10 Tf 12 TL ( continue produces a) Tj T* 0 Tw /F3 10 Tf (divergent) Tj /F1 10 Tf ( stream from the original process. Scientific reproducibility dies at the process boundary.) Tj T* ET Q Q q -1 0 0 1 57.02362 611.8236 cm +1 0 0 1 57.02362 163.0236 cm q BT 1 0 0 1 0 26 Tm 1.702025 Tw 12 TL /F1 10 Tf 0 0 0 rg (Lumbda addresses this across all three tiers with one shared PRNG: ) Tj /F3 10 Tf (xoshiro256**) Tj /F1 10 Tf ( \(Blackman & Vigna,) Tj T* 0 Tw .107281 Tw (2018\). We chose it for deterministic bit output on any machine \(no libc ) Tj /F5 10 Tf (rand) Tj /F1 10 Tf (, no FPU\), a small code footprint) Tj T* 0 Tw (\(Python ~30 lines, C ~40, asm ~60\), and four-word \(256-bit\) state that fits cleanly in every portal format:) Tj T* ET Q Q q -1 0 0 1 57.02362 605.8236 cm +1 0 0 1 57.02362 157.0236 cm Q q -1 0 0 1 57.02362 605.8236 cm +1 0 0 1 57.02362 157.0236 cm Q q -1 0 0 1 57.02362 569.8236 cm +1 0 0 1 57.02362 121.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7334,10 +7206,10 @@ Q Q Q q -1 0 0 1 57.02362 563.8236 cm +1 0 0 1 57.02362 115.0236 cm Q q -1 0 0 1 57.02362 539.8236 cm +1 0 0 1 57.02362 91.02362 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7359,10 +7231,19 @@ Q Q Q q -1 0 0 1 57.02362 533.8236 cm +1 0 0 1 57.02362 85.02362 cm Q + +endstream +endobj +169 0 obj +<< +/Length 13272 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 509.8236 cm +1 0 0 1 57.02362 741.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7384,67 +7265,58 @@ Q Q Q q -1 0 0 1 57.02362 491.8236 cm +1 0 0 1 57.02362 723.0236 cm Q q -1 0 0 1 57.02362 437.8236 cm +1 0 0 1 57.02362 669.0236 cm q BT 1 0 0 1 0 38 Tm 6.845372 Tw 12 TL /F1 10 Tf 0 0 0 rg (Builtins shared across all three: ) Tj /F5 10 Tf (\(random-seed!) Tj ( ) Tj (k\)) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (\(random-int) Tj ( ) Tj (n\)) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (\(random-state\)) Tj /F1 10 Tf (,) Tj T* 0 Tw .018138 Tw /F5 10 Tf (\(random-state!) Tj ( ) Tj (lst\)) Tj /F1 10 Tf (. Python and C also export ) Tj /F5 10 Tf (\(random\)) Tj /F1 10 Tf ( returning a float in ) Tj /F5 10 Tf ([0,) Tj ( ) Tj (1\)) Tj /F1 10 Tf (; the asm tier has) Tj T* 0 Tw .234207 Tw (no floats, so this one builtin is omitted by construction. All three tiers seed with ) Tj /F5 10 Tf (k) Tj ( ) Tj (=) Tj ( ) Tj (0) Tj /F1 10 Tf ( at process startup, so) Tj T* 0 Tw (a program that never calls ) Tj /F5 10 Tf (random-seed!) Tj /F1 10 Tf ( still gets a non-zero, deterministic stream.) Tj T* ET Q Q q -1 0 0 1 57.02362 371.8236 cm +1 0 0 1 57.02362 603.0236 cm q BT 1 0 0 1 0 50 Tm 1.928941 Tw 12 TL /F1 10 Tf 0 0 0 rg (Verification: ) Tj /F5 10 Tf (tests/portal-cross-test.sh) Tj /F1 10 Tf ( runs a 3\3273 producer \327 consumer matrix where each tier) Tj T* 0 Tw .217417 Tw (writes a portal file capturing the RNG state, every other tier reads it, draws the next 5 values, and the values) Tj T* 0 Tw .365464 Tw (must match bit-for-bit against a baseline the producer also wrote into the file. All 9 cells green. The baseline) Tj T* 0 Tw .232397 Tw (for seed=42 is ) Tj /F5 10 Tf (558742) Tj ( ) Tj (543102) Tj ( ) Tj (559009) Tj ( ) Tj (124193) Tj ( ) Tj (317476) Tj ( ) Tj (\205) Tj /F1 10 Tf ( \227 identical in Python, C, and asm, identical) Tj T* 0 Tw (after any portal round-trip through any format.) Tj T* ET Q Q q -1 0 0 1 57.02362 317.8236 cm +1 0 0 1 57.02362 549.0236 cm q BT 1 0 0 1 0 38 Tm 1.177835 Tw 12 TL /F3 10 Tf 0 0 0 rg (Ticket:) Tj /F1 10 Tf ( ) Tj /F5 10 Tf (docs/tickets/0001-portal-rng.md) Tj /F1 10 Tf (. Contributed by ) Tj /F3 10 Tf (Zo\353 Trout) Tj /F1 10 Tf (, whose question \227 ) Tj /F4 10 Tf (does the) Tj T* 0 Tw .328556 Tw (portal tech keep the random list seed which will allow transferring random entropy between processes when) Tj T* 0 Tw .598726 Tw (continuing a simulation?) Tj /F1 10 Tf ( \227 surfaced a gap we had not noticed. The earlier claim ) Tj /F4 10 Tf (portal = portable machine) Tj T* 0 Tw (state) Tj /F1 10 Tf ( carried a silent asterisk: ) Tj /F4 10 Tf (deterministic code only) Tj /F1 10 Tf (. That asterisk is now gone.) Tj T* ET Q Q q -1 0 0 1 57.02362 291.8236 cm +1 0 0 1 57.02362 523.0236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 Tf .133333 .133333 .133333 rg (7.5.1 Kernel Entropy on One Side) Tj T* ET Q Q q -1 0 0 1 57.02362 237.8236 cm +1 0 0 1 57.02362 469.0236 cm q BT 1 0 0 1 0 38 Tm .317281 Tw 12 TL /F1 10 Tf 0 0 0 rg (Pure determinism is the feature, not the whole story. A program that ) Tj /F4 10 Tf (wants) Tj /F1 10 Tf ( a different stream every run \227 a) Tj T* 0 Tw 1.209897 Tw (simulation, a secret-generation step, a shuffler \227 has to seed itself from outside. Without a helper, every) Tj T* 0 Tw .772556 Tw (user hand-rolls one, and hand-rolled entropy is where half the reproducibility defects in science live: wrong) Tj T* 0 Tw (endianness, short-read-not-handled, FD leaked, nondeterministic seed baked into logs you can't re-derive.) Tj T* ET Q Q q -1 0 0 1 57.02362 171.8236 cm +1 0 0 1 57.02362 403.0236 cm q BT 1 0 0 1 0 50 Tm 5.619862 Tw 12 TL /F1 10 Tf 0 0 0 rg (A fifth shared builtin closes this gap: ) Tj /F5 10 Tf (\(random-seed-from-os!\)) Tj /F1 10 Tf ( reads exactly 8 bytes from) Tj T* 0 Tw .093453 Tw /F5 10 Tf (/dev/urandom) Tj /F1 10 Tf ( as a little-endian ) Tj /F5 10 Tf (u64) Tj /F1 10 Tf (, passes the value to the same ) Tj /F5 10 Tf (rng_seed) Tj /F1 10 Tf ( path as ) Tj /F5 10 Tf (\(random-seed!\)) Tj /F1 10 Tf (,) Tj T* 0 Tw .651772 Tw (and returns void. Failure \() Tj /F5 10 Tf (/dev/urandom) Tj /F1 10 Tf ( missing or short read\) raises loud \227 ) Tj /F5 10 Tf (LispErr) Tj /F1 10 Tf ( in Python and C,) Tj T* 0 Tw .708493 Tw (stderr + ) Tj /F5 10 Tf (exit\(1\)) Tj /F1 10 Tf ( in asm \227 with no silent fallback to a weak seed. The default startup seed stays ) Tj /F5 10 Tf (k) Tj ( ) Tj (=) Tj ( ) Tj (0) Tj /F1 10 Tf (;) Tj T* 0 Tw (kernel entropy is opt-in, so ticket 0001's portal-reproducibility contract is unchanged.) Tj T* ET Q Q q -1 0 0 1 57.02362 117.8236 cm +1 0 0 1 57.02362 349.0236 cm q BT 1 0 0 1 0 38 Tm .224488 Tw 12 TL /F5 10 Tf 0 0 0 rg (/dev/urandom) Tj /F1 10 Tf ( is the intentional pick over ) Tj /F5 10 Tf (/dev/random) Tj /F1 10 Tf (: ) Tj /F5 10 Tf (man) Tj ( ) Tj (4) Tj ( ) Tj (urandom) Tj /F1 10 Tf ( confirms it is cryptographically) Tj T* 0 Tw .113022 Tw (strong on any Linux kernel after boot, and unlike ) Tj /F5 10 Tf (/dev/random) Tj /F1 10 Tf ( it never blocks waiting for "enough" entropy.) Tj T* 0 Tw 1.229314 Tw (We also do not use ) Tj /F5 10 Tf (getrandom\(2\)) Tj /F1 10 Tf ( \227 portability to older kernels matters more than saving one ) Tj /F5 10 Tf (open) Tj /F1 10 Tf ( +) Tj T* 0 Tw /F5 10 Tf (read) Tj /F1 10 Tf ( + ) Tj /F5 10 Tf (close) Tj /F1 10 Tf (.) Tj T* ET Q Q q -1 0 0 1 57.02362 87.82362 cm +1 0 0 1 57.02362 319.0236 cm q BT 1 0 0 1 0 14 Tm .002545 Tw 12 TL /F3 10 Tf 0 0 0 rg (The typical real-world flow) Tj /F1 10 Tf ( \227 the one fox called out as ) Tj /F4 10 Tf ("very important") Tj /F1 10 Tf ( \227 uses kernel entropy on ) Tj /F3 10 Tf (one) Tj /F1 10 Tf ( side) Tj T* 0 Tw (only, then lets the portal carry a bit-identical continuation to every other process that reloads it:) Tj T* ET Q Q - -endstream -endobj -167 0 obj -<< -/Length 15469 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 627.0236 cm +1 0 0 1 57.02362 173.0236 cm q q 1 0 0 1 0 0 cm @@ -7599,35 +7471,44 @@ n 115.2 0 33.6 9.6 re f* n 148.8 0 163.2 9.6 re f* .960784 .960784 .960784 rg n 312 0 0 9.6 re f* -BT 1 0 0 1 0 116.8 Tm 9.6 TL /F8 8 Tf .25098 .501961 .501961 rg (;; Machine A \227 the fresh-run side.) Tj /F5 8 Tf .733333 .733333 .733333 rg T* 0 0 0 rg (\() Tj 0 0 1 rg (random-seed-from-os!) Tj 0 0 0 rg (\)) Tj .733333 .733333 .733333 rg ( ) Tj /F8 8 Tf .25098 .501961 .501961 rg (; pull 8 bytes of kernel entropy) Tj /F5 8 Tf .733333 .733333 .733333 rg T* 0 0 0 rg (\() Tj /F7 8 Tf 0 .501961 0 rg (define) Tj /F5 8 Tf .733333 .733333 .733333 rg ( ) Tj .098039 .090196 .486275 rg (run-id) Tj .733333 .733333 .733333 rg ( ) Tj 0 0 0 rg (\() Tj 0 0 1 rg (random-state) Tj 0 0 0 rg (\)\)) Tj .733333 .733333 .733333 rg ( ) Tj /F8 8 Tf .25098 .501961 .501961 rg (; snapshot so we can replay later) Tj /F5 8 Tf .733333 .733333 .733333 rg T* 0 0 0 rg (\() Tj 0 0 1 rg (run-simulation) Tj .733333 .733333 .733333 rg ( ) Tj .4 .4 .4 rg (1000000) Tj 0 0 0 rg (\)) Tj .733333 .733333 .733333 rg ( ) Tj /F8 8 Tf .25098 .501961 .501961 rg (; draws millions of randoms) Tj /F5 8 Tf .733333 .733333 .733333 rg T* 0 0 0 rg (\() Tj 0 0 1 rg (portal-save) Tj .733333 .733333 .733333 rg ( ) Tj .729412 .129412 .129412 rg ("state.portal") Tj 0 0 0 rg (\)) Tj .733333 .733333 .733333 rg ( ) Tj /F8 8 Tf .25098 .501961 .501961 rg (; captures xoshiro256** state + heap) Tj /F5 8 Tf .733333 .733333 .733333 rg T* T* /F8 8 Tf .25098 .501961 .501961 rg (;; Machine B \227 the resume side, possibly days later, different box.) Tj /F5 8 Tf .733333 .733333 .733333 rg T* 0 0 0 rg (\() Tj 0 0 1 rg (portal-resume) Tj .733333 .733333 .733333 rg ( ) Tj .729412 .129412 .129412 rg ("state.portal") Tj 0 0 0 rg (\)) Tj .733333 .733333 .733333 rg ( ) Tj /F8 8 Tf .25098 .501961 .501961 rg (; xoshiro256** state restored byte-for-byte) Tj /F5 8 Tf .733333 .733333 .733333 rg T* 0 0 0 rg (\() Tj 0 0 1 rg (run-simulation) Tj .733333 .733333 .733333 rg ( ) Tj .4 .4 .4 rg (1000000) Tj 0 0 0 rg (\)) Tj .733333 .733333 .733333 rg ( ) Tj /F8 8 Tf .25098 .501961 .501961 rg (; same stream from here, bit-for-bit) Tj /F5 8 Tf .733333 .733333 .733333 rg T* T* /F8 8 Tf .25098 .501961 .501961 rg (;; Audit \(any machine, any tier\) \227 replay the original from run-id.) Tj /F5 8 Tf .733333 .733333 .733333 rg T* 0 0 0 rg (\() Tj 0 0 1 rg (random-state!) Tj .733333 .733333 .733333 rg ( ) Tj .098039 .090196 .486275 rg (run-id) Tj 0 0 0 rg (\)) Tj .733333 .733333 .733333 rg T* 0 0 0 rg (\() Tj 0 0 1 rg (run-simulation) Tj .733333 .733333 .733333 rg ( ) Tj .4 .4 .4 rg (2000000) Tj 0 0 0 rg (\)) Tj .733333 .733333 .733333 rg ( ) Tj /F8 8 Tf .25098 .501961 .501961 rg (; reproduces A's entire trajectory) Tj /F5 8 Tf .733333 .733333 .733333 rg T* ET +BT 1 0 0 1 0 116.8 Tm 9.6 TL /F9 8 Tf .25098 .501961 .501961 rg (;; Machine A \227 the fresh-run side.) Tj /F5 8 Tf .733333 .733333 .733333 rg T* 0 0 0 rg (\() Tj 0 0 1 rg (random-seed-from-os!) Tj 0 0 0 rg (\)) Tj .733333 .733333 .733333 rg ( ) Tj /F9 8 Tf .25098 .501961 .501961 rg (; pull 8 bytes of kernel entropy) Tj /F5 8 Tf .733333 .733333 .733333 rg T* 0 0 0 rg (\() Tj /F7 8 Tf 0 .501961 0 rg (define) Tj /F5 8 Tf .733333 .733333 .733333 rg ( ) Tj .098039 .090196 .486275 rg (run-id) Tj .733333 .733333 .733333 rg ( ) Tj 0 0 0 rg (\() Tj 0 0 1 rg (random-state) Tj 0 0 0 rg (\)\)) Tj .733333 .733333 .733333 rg ( ) Tj /F9 8 Tf .25098 .501961 .501961 rg (; snapshot so we can replay later) Tj /F5 8 Tf .733333 .733333 .733333 rg T* 0 0 0 rg (\() Tj 0 0 1 rg (run-simulation) Tj .733333 .733333 .733333 rg ( ) Tj .4 .4 .4 rg (1000000) Tj 0 0 0 rg (\)) Tj .733333 .733333 .733333 rg ( ) Tj /F9 8 Tf .25098 .501961 .501961 rg (; draws millions of randoms) Tj /F5 8 Tf .733333 .733333 .733333 rg T* 0 0 0 rg (\() Tj 0 0 1 rg (portal-save) Tj .733333 .733333 .733333 rg ( ) Tj .729412 .129412 .129412 rg ("state.portal") Tj 0 0 0 rg (\)) Tj .733333 .733333 .733333 rg ( ) Tj /F9 8 Tf .25098 .501961 .501961 rg (; captures xoshiro256** state + heap) Tj /F5 8 Tf .733333 .733333 .733333 rg T* T* /F9 8 Tf .25098 .501961 .501961 rg (;; Machine B \227 the resume side, possibly days later, different box.) Tj /F5 8 Tf .733333 .733333 .733333 rg T* 0 0 0 rg (\() Tj 0 0 1 rg (portal-resume) Tj .733333 .733333 .733333 rg ( ) Tj .729412 .129412 .129412 rg ("state.portal") Tj 0 0 0 rg (\)) Tj .733333 .733333 .733333 rg ( ) Tj /F9 8 Tf .25098 .501961 .501961 rg (; xoshiro256** state restored byte-for-byte) Tj /F5 8 Tf .733333 .733333 .733333 rg T* 0 0 0 rg (\() Tj 0 0 1 rg (run-simulation) Tj .733333 .733333 .733333 rg ( ) Tj .4 .4 .4 rg (1000000) Tj 0 0 0 rg (\)) Tj .733333 .733333 .733333 rg ( ) Tj /F9 8 Tf .25098 .501961 .501961 rg (; same stream from here, bit-for-bit) Tj /F5 8 Tf .733333 .733333 .733333 rg T* T* /F9 8 Tf .25098 .501961 .501961 rg (;; Audit \(any machine, any tier\) \227 replay the original from run-id.) Tj /F5 8 Tf .733333 .733333 .733333 rg T* 0 0 0 rg (\() Tj 0 0 1 rg (random-state!) Tj .733333 .733333 .733333 rg ( ) Tj .098039 .090196 .486275 rg (run-id) Tj 0 0 0 rg (\)) Tj .733333 .733333 .733333 rg T* 0 0 0 rg (\() Tj 0 0 1 rg (run-simulation) Tj .733333 .733333 .733333 rg ( ) Tj .4 .4 .4 rg (2000000) Tj 0 0 0 rg (\)) Tj .733333 .733333 .733333 rg ( ) Tj /F9 8 Tf .25098 .501961 .501961 rg (; reproduces A's entire trajectory) Tj /F5 8 Tf .733333 .733333 .733333 rg T* ET Q Q Q Q Q q -1 0 0 1 57.02362 559.0236 cm +1 0 0 1 57.02362 105.0236 cm q BT 1 0 0 1 0 50 Tm .011019 Tw 12 TL /F1 10 Tf 0 0 0 rg (One call on one side. Kernel entropy enters the system exactly once, under the user's control, at the moment) Tj T* 0 Tw .548556 Tw (a new experiment begins. Every subsequent process reads the same stream off the portal without touching) Tj T* 0 Tw .34631 Tw /F5 10 Tf (/dev/urandom) Tj /F1 10 Tf ( again \227 that is what makes the run ) Tj /F4 10 Tf (auditable) Tj /F1 10 Tf (. An adversary who captures ) Tj /F5 10 Tf (state.portal) Tj /F1 10 Tf T* 0 Tw 1.864609 Tw (can replay the simulation; a scientist who captures ) Tj /F5 10 Tf (run-id) Tj /F1 10 Tf ( up front can prove the run was not altered) Tj T* 0 Tw (mid-flight. Ticket: ) Tj /F5 10 Tf (docs/tickets/0002-os-entropy-seed.md) Tj /F1 10 Tf (.) Tj T* ET Q Q + +endstream +endobj +170 0 obj +<< +/Length 9926 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 527.8236 cm +1 0 0 1 57.02362 751.8236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (7.6 Cross-Process Benchmarks) Tj T* ET Q Q q -1 0 0 1 57.02362 483.8236 cm +1 0 0 1 57.02362 707.8236 cm q BT 1 0 0 1 0 26 Tm 2.703647 Tw 12 TL /F1 10 Tf 0 0 0 rg (Producer process A saves state to a file; consumer process B starts fresh, loads the file, continues.) Tj T* 0 Tw 10.67759 Tw (Wall-clock time for both processes end-to-end, 50 iterations, same-laptop. ) Tj /F3 10 Tf (Reproduce:) Tj /F1 10 Tf T* 0 Tw /F5 10 Tf (make) Tj ( ) Tj (bench-portal) Tj /F1 10 Tf ( \(source: ) Tj /F5 10 Tf (tests/portal-benchmark.sh) Tj /F1 10 Tf (\).) Tj T* ET Q Q q -1 0 0 1 57.02362 477.8236 cm +1 0 0 1 57.02362 701.8236 cm Q q -1 0 0 1 57.02362 279.8236 cm +1 0 0 1 57.02362 503.8236 cm q 1 1 1 rg n 0 198 481.2283 -18 re f* @@ -7833,68 +7714,72 @@ Q Q Q q -1 0 0 1 57.02362 279.8236 cm +1 0 0 1 57.02362 503.8236 cm Q q -1 0 0 1 57.02362 237.8236 cm +1 0 0 1 57.02362 461.8236 cm q BT 1 0 0 1 0 26 Tm .698334 Tw 12 TL /F1 10 Tf 0 0 0 rg (The asm) Tj /F6 10 Tf 12 TL (\256) Tj /F1 10 Tf 12 TL (asm cross-process is ~160\327 faster than Python) Tj /F6 10 Tf 12 TL (\256) Tj /F1 10 Tf 12 TL (Python. The binary & S-expression portals are) Tj T* 0 Tw .812256 Tw (within 10% of each other on this workload \227 the bottleneck is process startup, not serialization. For larger) Tj T* 0 Tw (heaps the binary format pulls further ahead; for portability, S-expression always wins.) Tj T* ET Q Q q -1 0 0 1 57.02362 206.6236 cm +1 0 0 1 57.02362 430.6236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (7.7 Mismatch Cases: Graceful Degradation) Tj T* ET Q Q q -1 0 0 1 57.02362 186.6236 cm +1 0 0 1 57.02362 410.6236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (A usable persistence layer fails well. What happens when the consumer meets unexpected input?) Tj T* ET Q Q q -1 0 0 1 57.02362 180.6236 cm +1 0 0 1 57.02362 404.6236 cm Q q -1 0 0 1 57.02362 66.62362 cm +1 0 0 1 57.02362 254.6236 cm q 1 1 1 rg -n 0 114 481.2283 -18 re f* +n 0 150 481.2283 -18 re f* .878431 .878431 .878431 rg -n 0 96 481.2283 -18 re f* +n 0 132 481.2283 -18 re f* 1 1 1 rg -n 0 78 481.2283 -30 re f* +n 0 114 481.2283 -30 re f* .878431 .878431 .878431 rg -n 0 48 481.2283 -30 re f* +n 0 84 481.2283 -30 re f* +1 1 1 rg +n 0 54 481.2283 -18 re f* +.878431 .878431 .878431 rg +n 0 36 481.2283 -18 re f* 1 1 1 rg n 0 18 481.2283 -18 re f* 0 0 0 rg BT /F3 10 Tf 12 TL ET q -1 0 0 1 6 99 cm +1 0 0 1 6 135 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 96.07173 0 Td (Input) Tj T* -96.07173 0 Td ET Q Q q -1 0 0 1 234.5835 99 cm +1 0 0 1 234.5835 135 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 19.16248 0 Td (Python) Tj T* -19.16248 0 Td ET Q Q q -1 0 0 1 318.7984 99 cm +1 0 0 1 318.7984 135 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 32.49748 0 Td (C) Tj T* -32.49748 0 Td ET Q Q q -1 0 0 1 403.0134 99 cm +1 0 0 1 403.0134 135 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 26.10248 0 Td (asm) Tj T* -26.10248 0 Td ET @@ -7903,151 +7788,114 @@ Q 0 0 0 rg BT /F1 10 Tf 12 TL ET q -1 0 0 1 6 81 cm +1 0 0 1 6 117 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (Empty file) Tj T* ET Q Q q -1 0 0 1 234.5835 81 cm +1 0 0 1 234.5835 117 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (continue) Tj T* ET Q Q q -1 0 0 1 318.7984 81 cm +1 0 0 1 318.7984 117 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (continue) Tj T* ET Q Q q -1 0 0 1 403.0134 81 cm +1 0 0 1 403.0134 117 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (continue) Tj T* ET Q Q q -1 0 0 1 6 63 cm +1 0 0 1 6 99 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (Missing file) Tj T* ET Q Q q -1 0 0 1 234.5835 51 cm +1 0 0 1 234.5835 87 cm q BT 1 0 0 1 0 14 Tm 12 TL /F5 10 Tf 0 0 0 rg (file) Tj ( ) Tj (not) Tj T* (found:) Tj ( ) Tj (\205) Tj T* ET Q Q q -1 0 0 1 318.7984 63 cm +1 0 0 1 318.7984 99 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F5 10 Tf 12 TL (error: \205) Tj T* ET Q Q q -1 0 0 1 403.0134 63 cm +1 0 0 1 403.0134 99 cm q BT 1 0 0 1 0 2 Tm 12 TL /F5 10 Tf 0 0 0 rg (#f) Tj /F1 10 Tf ( + continue) Tj T* ET Q Q q -1 0 0 1 6 33 cm +1 0 0 1 6 69 cm q BT 1 0 0 1 0 2 Tm 12 TL /F1 10 Tf 0 0 0 rg (Truncated sexp \() Tj /F5 10 Tf (\(define) Tj ( ) Tj (x) Tj /F1 10 Tf (\)) Tj T* ET Q Q q -1 0 0 1 234.5835 21 cm +1 0 0 1 234.5835 57 cm q 0 0 0 rg BT 1 0 0 1 0 14 Tm /F5 10 Tf 12 TL (error:) Tj T* (unclosed) Tj T* ET Q Q q -1 0 0 1 318.7984 21 cm +1 0 0 1 318.7984 57 cm q 0 0 0 rg BT 1 0 0 1 0 14 Tm /F5 10 Tf 12 TL (error:) Tj T* (unclosed) Tj T* ET Q Q q -1 0 0 1 403.0134 21 cm +1 0 0 1 403.0134 57 cm q 0 0 0 rg BT 1 0 0 1 0 14 Tm /F1 10 Tf 12 TL (continue) Tj T* (\(benign\)) Tj T* ET Q Q q -1 0 0 1 6 3 cm +1 0 0 1 6 39 cm q BT 1 0 0 1 0 2 Tm 12 TL /F1 10 Tf 0 0 0 rg (Binary portal fed to ) Tj /F5 10 Tf (\(load\)) Tj T* ET Q Q q -1 0 0 1 234.5835 3 cm +1 0 0 1 234.5835 39 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (text-file error) Tj T* ET Q Q q -1 0 0 1 318.7984 3 cm +1 0 0 1 318.7984 39 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (reader error) Tj T* ET Q Q q -1 0 0 1 403.0134 3 cm +1 0 0 1 403.0134 39 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (symbol errors) Tj T* ET Q Q q -1 J -1 j -0 0 0 RG -.25 w -n 0 0 m 481.2283 0 l S -n 0 96 m 481.2283 96 l S -n 0 78 m 481.2283 78 l S -n 0 48 m 481.2283 48 l S -n 0 18 m 481.2283 18 l S -n 228.5835 0 m 228.5835 114 l S -n 312.7984 0 m 312.7984 114 l S -n 397.0134 0 m 397.0134 114 l S -n 0 114 m 481.2283 114 l S -n 0 0 m 0 114 l S -n 481.2283 0 m 481.2283 114 l S -Q -Q -Q - -endstream -endobj -168 0 obj -<< -/Length 6056 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET -q -1 0 0 1 57.02362 729.0236 cm -q -1 1 1 rg -n 0 36 481.2283 -18 re f* -.878431 .878431 .878431 rg -n 0 18 481.2283 -18 re f* -0 0 0 rg -BT /F1 10 Tf 12 TL ET -q 1 0 0 1 6 21 cm q BT 1 0 0 1 0 2 Tm 12 TL /F1 10 Tf 0 0 0 rg (sexp file fed to ) Tj /F5 10 Tf (portal-resume) Tj T* ET @@ -8107,34 +7955,48 @@ q 1 j 0 0 0 RG .25 w +n 0 132 m 481.2283 132 l S +n 0 114 m 481.2283 114 l S +n 0 84 m 481.2283 84 l S +n 0 54 m 481.2283 54 l S n 0 36 m 481.2283 36 l S n 0 18 m 481.2283 18 l S -n 228.5835 0 m 228.5835 36 l S -n 312.7984 0 m 312.7984 36 l S -n 397.0134 0 m 397.0134 36 l S -n 0 0 m 0 36 l S -n 481.2283 0 m 481.2283 36 l S +n 228.5835 0 m 228.5835 150 l S +n 312.7984 0 m 312.7984 150 l S +n 397.0134 0 m 397.0134 150 l S +n 0 150 m 481.2283 150 l S n 0 0 m 481.2283 0 l S +n 0 0 m 0 150 l S +n 481.2283 0 m 481.2283 150 l S Q Q Q q -1 0 0 1 57.02362 729.0236 cm +1 0 0 1 57.02362 254.6236 cm Q q -1 0 0 1 57.02362 663.0236 cm +1 0 0 1 57.02362 188.6236 cm q BT 1 0 0 1 0 50 Tm 1.476556 Tw 12 TL /F1 10 Tf 0 0 0 rg (All defects surfaced & fixed during benchmark development: an asm segfault on ) Tj /F5 10 Tf (\(define) Tj ( ) Tj (x\)) Tj /F1 10 Tf ( without a) Tj T* 0 Tw 1.838453 Tw (value \(now binds to ) Tj /F5 10 Tf (VOID) Tj /F1 10 Tf (\), an asm portal-resume that accepted short headers \(now verifies ) Tj /F5 10 Tf (sys_read) Tj /F1 10 Tf T* 0 Tw 1.204272 Tw (returned a full 48 bytes & sanity-checks heap metadata\), a Python ) Tj /F5 10 Tf (file) Tj ( ) Tj (not) Tj ( ) Tj (found) Tj /F1 10 Tf ( error reporting the) Tj T* 0 Tw 1.304862 Tw (outer script path instead of the inner missing file \(now uses ) Tj /F5 10 Tf (FileNotFoundError.filename) Tj /F1 10 Tf (\). Graceful) Tj T* 0 Tw (degradation is not free; it is tested.) Tj T* ET Q Q + +endstream +endobj +171 0 obj +<< +/Length 5113 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 631.8236 cm +1 0 0 1 57.02362 751.8236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (7.8 Use Case: Distributed Primality Testing) Tj T* ET Q Q q -1 0 0 1 57.02362 505.0236 cm +1 0 0 1 57.02362 625.0236 cm q q 1 0 0 1 0 0 cm @@ -8154,38 +8016,38 @@ Q Q Q q -1 0 0 1 57.02362 461.0236 cm +1 0 0 1 57.02362 581.0236 cm q BT 1 0 0 1 0 26 Tm 1.105522 Tw 12 TL /F1 10 Tf 0 0 0 rg (Machine A starts the computation. Every 10,000 iterations, it writes a checkpoint. Machine B picks up the) Tj T* 0 Tw 2.790642 Tw /F5 10 Tf (.portal) Tj /F1 10 Tf ( file & continues from the last checkpoint. The computation migrates without either machine) Tj T* 0 Tw (needing to know about the other. Feedback \227 the continuation \227 carries the entire execution context.) Tj T* ET Q Q q -1 0 0 1 57.02362 421.8236 cm +1 0 0 1 57.02362 541.8236 cm q BT 1 0 0 1 0 3.2 Tm 139.9582 0 Td 19.2 TL /F2 16 Tf .133333 .133333 .133333 rg (8. The EML Universality Proof) Tj T* -139.9582 0 Td ET Q Q q -1 0 0 1 57.02362 391.8236 cm +1 0 0 1 57.02362 511.8236 cm q BT 1 0 0 1 0 14 Tm 3.669104 Tw 12 TL /F1 10 Tf 0 0 0 rg (Lumbda ships with a mathematical proof that a single operator generates all elementary functions:) Tj T* 0 Tw /F5 10 Tf (eml\(x,) Tj ( ) Tj (y\)) Tj ( ) Tj (=) Tj ( ) Tj (exp\(x\)) Tj ( ) Tj (-) Tj ( ) Tj (ln\(y\)) Tj /F1 10 Tf (.) Tj T* ET Q Q q -1 0 0 1 57.02362 373.8236 cm +1 0 0 1 57.02362 493.8236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (Reference: "All elementary functions from a single operator" \(arXiv:2603.21852v2\).) Tj T* ET Q Q q -1 0 0 1 57.02362 342.6236 cm +1 0 0 1 57.02362 462.6236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (8.1 The Operator) Tj T* ET Q Q q -1 0 0 1 57.02362 311.8236 cm +1 0 0 1 57.02362 431.8236 cm q q 1 0 0 1 0 0 cm @@ -8206,19 +8068,26 @@ Q Q Q q -1 0 0 1 57.02362 291.8236 cm +1 0 0 1 57.02362 411.8236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F1 10 Tf 0 0 0 rg (With this operator & the constant ) Tj /F5 10 Tf (1) Tj /F1 10 Tf (, the following derivation chain constructs every elementary function:) Tj T* ET Q Q q -1 0 0 1 57.02362 260.6236 cm +1 0 0 1 57.02362 380.6236 cm q -BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (8.2 Stage 1: Core Functions \(Depth 1--3\)) Tj T* ET +BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (8.2 Derivation Chain) Tj T* ET Q Q q -1 0 0 1 57.02362 210.6236 cm +1 0 0 1 57.02362 348.6236 cm +q +0 0 0 rg +BT 1 0 0 1 0 14 Tm /F1 10 Tf 12 TL .845197 Tw (Four stages climb from one operator to every elementary function. The full per-step proof lives in the cited) Tj T* 0 Tw (arXiv paper; this is the chain in code form, as the Lumbda checker actually runs it:) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 116.2236 cm q q 1 0 0 1 0 0 cm @@ -8228,141 +8097,54 @@ q .662745 .662745 .662745 RG .5 w .960784 .960784 .960784 rg -n -6 -6 480.0283 40.8 re B* +n -6 -6 480.0283 223.2 re B* Q q -0 0 0 rg -BT 1 0 0 1 0 20.8 Tm /F5 8 Tf 9.6 TL (exp\(x\) = eml\(x, 1\) ; ln\(1\) = 0, so eml\(x,1\) = exp\(x\) - 0) Tj T* (e = eml\(1, 1\) ; exp\(1\) = e) Tj T* (ln\(x\) = eml\(1, eml\(eml\(1,x\), 1\)\) ; nested application recovers ln) Tj T* ET +BT 1 0 0 1 0 203.2 Tm 9.6 TL /F5 8 Tf 0 0 0 rg (; Stage 1 \227 core \(depth 1-3\)) Tj T* (exp\(x\) = eml\(x, 1\) ; ln\(1\)=0, so eml\(x,1\) = exp\(x\)-0) Tj T* (e = eml\(1, 1\) ; exp\(1\)=e) Tj T* (ln\(x\) = eml\(1, eml\(eml\(1,x\), 1\)\) ; nested eml recovers ln) Tj T* T* (; Stage 2 \227 arithmetic, from exp ) Tj (&) Tj ( ln) Tj T* (0 = ln\(1\)) Tj T* (a - b = eml\(ln\(a\), exp\(b\)\) ; subtraction) Tj T* (a * b = exp\(ln\(a\) + ln\(b\)\) ; multiplication) Tj T* (1/x = exp\(-ln\(x\)\) ; division) Tj T* (x^y = exp\(y * ln\(x\)\) ; exponentiation) Tj T* (sqrt\(x\)= exp\(ln\(x\) / 2\) ; roots) Tj T* T* (; Stage 3 \227 complex plane via ln\(-1\)) Tj T* (ln\(-1\) = i) Tj /F6 8 Tf 9.6 TL (p) Tj /F5 8 Tf 9.6 TL ( ; complex logarithm of -1) Tj T* /F6 8 Tf 9.6 TL (p) Tj /F5 8 Tf 9.6 TL ( = imag\(ln\(-1\)\) ; ) Tj /F6 8 Tf 9.6 TL (p) Tj /F5 8 Tf 9.6 TL ( from imaginary part) Tj T* (i = exp\(i) Tj /F6 8 Tf 9.6 TL (p) Tj /F5 8 Tf 9.6 TL (/2\) ; i from Euler) Tj T* T* (; Stage 4 \227 trigonometry via Euler) Tj T* (sin\(x\) = \(exp\(ix\) - exp\(-ix\)\) / 2i) Tj T* (cos\(x\) = \(exp\(ix\) + exp\(-ix\)\) / 2) Tj T* (tan\(x\) = sin\(x\) / cos\(x\)) Tj T* ET Q Q Q Q Q q -1 0 0 1 57.02362 166.6236 cm +1 0 0 1 57.02362 84.22362 cm q -BT 1 0 0 1 0 26 Tm 16.01403 Tw 12 TL /F3 10 Tf 0 0 0 rg (Proof of ln recovery) Tj /F1 10 Tf (: Let ) Tj /F5 10 Tf (a) Tj ( ) Tj (=) Tj ( ) Tj (eml\(1,x\)) Tj ( ) Tj (=) Tj ( ) Tj (e) Tj ( ) Tj (-) Tj ( ) Tj (ln\(x\)) Tj /F1 10 Tf (. Then) Tj T* 0 Tw 28.85979 Tw /F5 10 Tf (eml\(a,) Tj ( ) Tj (1\)) Tj ( ) Tj (=) Tj ( ) Tj (exp\(e) Tj ( ) Tj (-) Tj ( ) Tj (ln\(x\)\)) Tj ( ) Tj (=) Tj ( ) Tj (exp\(e\)/x) Tj /F1 10 Tf (. Then) Tj T* 0 Tw /F5 10 Tf (eml\(1,) Tj ( ) Tj (exp\(e\)/x\)) Tj ( ) Tj (=) Tj ( ) Tj (e) Tj ( ) Tj (-) Tj ( ) Tj (ln\(exp\(e\)/x\)) Tj ( ) Tj (=) Tj ( ) Tj (e) Tj ( ) Tj (-) Tj ( ) Tj (e) Tj ( ) Tj (+) Tj ( ) Tj (ln\(x\)) Tj ( ) Tj (=) Tj ( ) Tj (ln\(x\)) Tj /F1 10 Tf (.) Tj T* ET +BT 1 0 0 1 0 14 Tm 3.274395 Tw 12 TL /F1 10 Tf 0 0 0 rg (Each line is one rewrite step the symbolic checker in ) Tj /F5 10 Tf (proof/eml_proof_in_lumbda.lsp) Tj /F1 10 Tf ( actually) Tj T* 0 Tw .032917 Tw (exercises. The key insight at Stage 3 is that ) Tj /F5 10 Tf (ln) Tj /F1 10 Tf ( of a negative number enters the complex plane: once we can) Tj T* 0 Tw ET Q Q endstream endobj -169 0 obj +172 0 obj << -/Length 9434 +/Length 11029 >> stream 1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 751.8236 cm +1 0 0 1 57.02362 741.0236 cm q -BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (8.3 Stage 2: Arithmetic) Tj T* ET +BT 1 0 0 1 0 14 Tm 1.005785 Tw 12 TL /F1 10 Tf 0 0 0 rg (construct ) Tj /F5 10 Tf (-1) Tj /F1 10 Tf ( from eml via the subtraction chain, ) Tj /F5 10 Tf (ln\(-1\)) Tj ( ) Tj (=) Tj ( ) Tj (i) Tj /F6 10 Tf 12 TL (p) Tj /F5 10 Tf 12 TL /F1 10 Tf ( follows, and ) Tj /F5 10 Tf /F6 10 Tf 12 TL (p) Tj /F5 10 Tf 12 TL /F1 10 Tf (, ) Tj /F5 10 Tf (i) Tj /F1 10 Tf (, and every trigonometric) Tj T* 0 Tw (function fall out of Euler.) Tj T* ET Q Q q -1 0 0 1 57.02362 663.4236 cm +1 0 0 1 57.02362 709.8236 cm q -q -1 0 0 1 0 0 cm -q -1 0 0 1 6.6 6.6 cm -q -.662745 .662745 .662745 RG -.5 w -.960784 .960784 .960784 rg -n -6 -6 480.0283 79.2 re B* -Q -q -BT 1 0 0 1 0 59.2 Tm 9.6 TL /F5 8 Tf 0 0 0 rg (0 = ln\(1\) = eml\(1, eml\(eml\(1,1\), 1\)\)) Tj T* (a - b = eml\(ln\(a\), exp\(b\)\) ; exp\(ln\(a\)\) - ln\(exp\(b\)\) = a - b) Tj T* (-1 = \(e-1\) - e ; via eml subtraction chain) Tj T* (a * b = exp\(ln\(a\) + ln\(b\)\) ; multiplication from exp ) Tj (&) Tj ( ln) Tj T* (1/x = exp\(-ln\(x\)\) ; division from exp ) Tj (&) Tj ( ln) Tj T* (x^y = exp\(y * ln\(x\)\) ; exponentiation) Tj T* (sqrt\(x\) = exp\(ln\(x\) / 2\) ; roots) Tj T* ET -Q -Q -Q -Q -Q -q -1 0 0 1 57.02362 632.2236 cm -q -BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (8.4 Stage 3: Complex Plane Access) Tj T* ET +BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (8.3 Verification & Friction Analysis) Tj T* ET Q Q q -1 0 0 1 57.02362 582.2236 cm -q -q -1 0 0 1 0 0 cm -q -1 0 0 1 6.6 6.6 cm -q -.662745 .662745 .662745 RG -.5 w -.960784 .960784 .960784 rg -n -6 -6 480.0283 40.8 re B* -Q -q -0 0 0 rg -BT 1 0 0 1 0 20.8 Tm /F5 8 Tf 9.6 TL (ln\(-1\) = i) Tj /F6 8 Tf 9.6 TL (p) Tj /F5 8 Tf 9.6 TL ( ; standard complex logarithm) Tj T* /F6 8 Tf 9.6 TL (p) Tj /F5 8 Tf 9.6 TL ( = imag\(ln\(-1\)\)) Tj T* (i = exp\(i) Tj /F6 8 Tf 9.6 TL (p) Tj /F5 8 Tf 9.6 TL (/2\)) Tj T* ET -Q -Q -Q -Q -Q -q -1 0 0 1 57.02362 550.2236 cm -q -BT 1 0 0 1 0 14 Tm .253071 Tw 12 TL /F1 10 Tf 0 0 0 rg (The key insight: ) Tj /F5 10 Tf (ln) Tj /F1 10 Tf ( of a negative number enters the complex plane. Since we can construct ) Tj /F5 10 Tf (-1) Tj /F1 10 Tf ( from eml via) Tj T* 0 Tw (the subtraction chain, ) Tj /F5 10 Tf (ln\(-1\)) Tj /F1 10 Tf ( yields ) Tj /F5 10 Tf (i) Tj /F6 10 Tf 12 TL (p) Tj /F5 10 Tf 12 TL /F1 10 Tf (, from which ) Tj /F5 10 Tf /F6 10 Tf 12 TL (p) Tj /F5 10 Tf 12 TL /F1 10 Tf ( & ) Tj /F5 10 Tf (i) Tj /F1 10 Tf ( follow.) Tj T* ET -Q -Q -q -1 0 0 1 57.02362 519.0236 cm -q -BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (8.5 Stage 4: Trigonometry via Euler) Tj T* ET -Q -Q -q -1 0 0 1 57.02362 469.0236 cm -q -q -1 0 0 1 0 0 cm -q -1 0 0 1 6.6 6.6 cm -q -.662745 .662745 .662745 RG -.5 w -.960784 .960784 .960784 rg -n -6 -6 480.0283 40.8 re B* -Q -q -0 0 0 rg -BT 1 0 0 1 0 20.8 Tm /F5 8 Tf 9.6 TL (sin\(x\) = \(exp\(ix\) - exp\(-ix\)\) / 2i ; Euler's formula) Tj T* (cos\(x\) = \(exp\(ix\) + exp\(-ix\)\) / 2) Tj T* (tan\(x\) = sin\(x\) / cos\(x\)) Tj T* ET -Q -Q -Q -Q -Q -q -1 0 0 1 57.02362 449.0236 cm -q -BT 1 0 0 1 0 2 Tm 12 TL /F1 10 Tf 0 0 0 rg (All trigonometric functions follow from complex exponentials, which follow from ) Tj /F5 10 Tf (exp) Tj /F1 10 Tf (, which follows from ) Tj /F5 10 Tf (eml) Tj /F1 10 Tf (.) Tj T* ET -Q -Q -q -1 0 0 1 57.02362 417.8236 cm -q -BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (8.6 Verification & Friction Analysis) Tj T* ET -Q -Q -q -1 0 0 1 57.02362 397.8236 cm +1 0 0 1 57.02362 689.8236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (The proof has been verified at six distinct levels. Times are best-of-3 on the i5-8350U:) Tj T* ET Q Q q -1 0 0 1 57.02362 391.8236 cm +1 0 0 1 57.02362 683.8236 cm Q q -1 0 0 1 57.02362 241.8236 cm +1 0 0 1 57.02362 533.8236 cm q 1 1 1 rg n 0 150 481.2283 -18 re f* @@ -8598,23 +8380,23 @@ Q Q Q q -1 0 0 1 57.02362 241.8236 cm +1 0 0 1 57.02362 533.8236 cm Q q -1 0 0 1 57.02362 223.8236 cm +1 0 0 1 57.02362 515.8236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL (Three separate wins compound here.) Tj T* ET Q Q q -1 0 0 1 57.02362 217.8236 cm +1 0 0 1 57.02362 509.8236 cm Q q -1 0 0 1 57.02362 217.8236 cm +1 0 0 1 57.02362 509.8236 cm Q q -1 0 0 1 57.02362 145.8236 cm +1 0 0 1 57.02362 437.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -8636,10 +8418,10 @@ Q Q Q q -1 0 0 1 57.02362 139.8236 cm +1 0 0 1 57.02362 431.8236 cm Q q -1 0 0 1 57.02362 91.82362 cm +1 0 0 1 57.02362 383.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -8661,19 +8443,10 @@ Q Q Q q -1 0 0 1 57.02362 85.82362 cm +1 0 0 1 57.02362 377.8236 cm Q - -endstream -endobj -170 0 obj -<< -/Length 8763 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 705.0236 cm +1 0 0 1 57.02362 317.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -8695,34 +8468,34 @@ Q Q Q q -1 0 0 1 57.02362 705.0236 cm +1 0 0 1 57.02362 317.8236 cm Q q -1 0 0 1 57.02362 639.0236 cm +1 0 0 1 57.02362 251.8236 cm q BT 1 0 0 1 0 50 Tm .913719 Tw 12 TL /F3 10 Tf 0 0 0 rg (Symmetric honesty.) Tj /F1 10 Tf ( Lean's kernel guarantees remain stronger even when the timings equalize: the Lean) Tj T* 0 Tw .45989 Tw (TCB is ~3 KLOC of audited elaborator/kernel, while Lumbda's asm interpreter is ~6.6 KLOC of hand-written) Tj T* 0 Tw .884917 Tw (assembly. For proofs where the cost of a bug in the checker itself matters, Lean is the right tool; for small) Tj T* 0 Tw 2.400556 Tw (symbolic-rewrite proofs where the language hosting the proof should be able to host the checker too,) Tj T* 0 Tw (Lumbda does the job in under 50 ms cold without external dependencies.) Tj T* ET Q Q q -1 0 0 1 57.02362 585.0236 cm +1 0 0 1 57.02362 197.8236 cm q BT 1 0 0 1 0 38 Tm 3.571147 Tw 12 TL /F3 10 Tf 0 0 0 rg (Lesson) Tj /F1 10 Tf (: The fastest path to truth is not computation \227 it is understanding. When you know ) Tj /F4 10 Tf (why) Tj /F1 10 Tf T* 0 Tw .96189 Tw /F5 10 Tf (eml\(1,) Tj ( ) Tj (eml\(eml\(1,x\),) Tj ( ) Tj (1\)\)) Tj ( ) Tj (=) Tj ( ) Tj (ln\(x\)) Tj /F1 10 Tf (, you verify it in microseconds. When you don't, you search for) Tj T* 0 Tw .874862 Tw (hours. Symbolic reasoning eliminates the quadratic friction of numerical verification; caching eliminates the) Tj T* 0 Tw (startup friction of every verifier. Both layers stack.) Tj T* ET Q Q q -1 0 0 1 57.02362 555.0236 cm +1 0 0 1 57.02362 167.8236 cm q BT 1 0 0 1 0 14 Tm .708556 Tw 12 TL /F3 10 Tf 0 0 0 rg (Reproduce:) Tj /F1 10 Tf ( ) Tj /F5 10 Tf (make) Tj ( ) Tj (bench-proof) Tj /F1 10 Tf ( runs the cold and cached paths for both Lumbda \(across all three tiers\)) Tj T* 0 Tw (and Lean. Source: ) Tj /F5 10 Tf (proof/benchmark.sh) Tj /F1 10 Tf (.) Tj T* ET Q Q q -1 0 0 1 57.02362 549.0236 cm +1 0 0 1 57.02362 161.8236 cm Q q -1 0 0 1 57.02362 549.0236 cm +1 0 0 1 57.02362 161.8236 cm Q q -1 0 0 1 57.02362 513.0236 cm +1 0 0 1 57.02362 125.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -8744,10 +8517,10 @@ Q Q Q q -1 0 0 1 57.02362 507.0236 cm +1 0 0 1 57.02362 119.8236 cm Q q -1 0 0 1 57.02362 471.0236 cm +1 0 0 1 57.02362 83.82362 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -8769,10 +8542,19 @@ Q Q Q q -1 0 0 1 57.02362 465.0236 cm +1 0 0 1 57.02362 77.82362 cm Q + +endstream +endobj +173 0 obj +<< +/Length 9337 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 441.0236 cm +1 0 0 1 57.02362 741.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -8794,10 +8576,10 @@ Q Q Q q -1 0 0 1 57.02362 441.0236 cm +1 0 0 1 57.02362 741.0236 cm Q q -1 0 0 1 57.02362 371.8236 cm +1 0 0 1 57.02362 671.8236 cm q q 1 0 0 1 0 0 cm @@ -8818,19 +8600,19 @@ Q Q Q q -1 0 0 1 57.02362 327.8236 cm +1 0 0 1 57.02362 627.8236 cm q BT 1 0 0 1 0 26 Tm 4.138556 Tw 12 TL /F1 10 Tf 0 0 0 rg (The Lean proof operates over abstract ) Tj /F5 10 Tf (exp) Tj /F1 10 Tf ( & ) Tj /F5 10 Tf (ln) Tj /F1 10 Tf ( functions with the axioms ) Tj /F5 10 Tf (exp\(ln\(x\)\)) Tj ( ) Tj (=) Tj ( ) Tj (x) Tj /F1 10 Tf (,) Tj T* 0 Tw 2.484897 Tw /F5 10 Tf (ln\(exp\(x\)\)) Tj ( ) Tj (=) Tj ( ) Tj (x) Tj /F1 10 Tf (, & ) Tj /F5 10 Tf (ln\(1\)) Tj ( ) Tj (=) Tj ( ) Tj (0) Tj /F1 10 Tf (. This makes the result independent of any particular real number) Tj T* 0 Tw (implementation.) Tj T* ET Q Q q -1 0 0 1 57.02362 321.8236 cm +1 0 0 1 57.02362 621.8236 cm Q q -1 0 0 1 57.02362 321.8236 cm +1 0 0 1 57.02362 621.8236 cm Q q -1 0 0 1 57.02362 237.8236 cm +1 0 0 1 57.02362 537.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -8852,10 +8634,10 @@ Q Q Q q -1 0 0 1 57.02362 237.8236 cm +1 0 0 1 57.02362 537.8236 cm Q q -1 0 0 1 57.02362 159.0236 cm +1 0 0 1 57.02362 459.0236 cm q q 1 0 0 1 0 0 cm @@ -8876,86 +8658,59 @@ Q Q Q q -1 0 0 1 57.02362 91.02362 cm +1 0 0 1 57.02362 391.0236 cm q BT 1 0 0 1 0 50 Tm 4.101411 Tw 12 TL /F3 10 Tf 0 0 0 rg (Verification speed: Lean vs Lumbda tiers, both cold and cached.) Tj /F1 10 Tf ( Same five theorems, same) Tj T* 0 Tw 1.757362 Tw (symbolic-rewrite strategy. The Lumbda checker now implements its own cached-replay path that mirrors) Tj T* 0 Tw .258797 Tw (Lean's: write a small artifact after a successful run; on subsequent runs, trust the artifact if the magic header) Tj T* 0 Tw .759029 Tw (matches and skip re-verification. ) Tj /F5 10 Tf (rm) Tj ( ) Tj (-f) Tj ( ) Tj (/tmp/lumbda-eml.cache) Tj /F1 10 Tf ( forces a cold re-check \(analogous to) Tj T* 0 Tw /F5 10 Tf (lake) Tj ( ) Tj (clean) Tj /F1 10 Tf (\). Best of 3 on the i5-8350U:) Tj T* ET Q Q q -1 0 0 1 57.02362 85.02362 cm +1 0 0 1 57.02362 385.0236 cm Q q -1 0 0 1 57.02362 67.02362 cm +1 0 0 1 57.02362 277.0236 cm q 1 1 1 rg +n 0 108 481.2283 -18 re f* +.878431 .878431 .878431 rg +n 0 90 481.2283 -18 re f* +1 1 1 rg +n 0 72 481.2283 -18 re f* +.878431 .878431 .878431 rg +n 0 54 481.2283 -18 re f* +1 1 1 rg +n 0 36 481.2283 -18 re f* +.878431 .878431 .878431 rg n 0 18 481.2283 -18 re f* 0 0 0 rg BT /F3 10 Tf 12 TL ET q -1 0 0 1 6 3 cm +1 0 0 1 6 93 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 55.88252 0 Td (Approach) Tj T* -55.88252 0 Td ET Q Q q -1 0 0 1 176.435 3 cm +1 0 0 1 176.435 93 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 23.82236 0 Td (cold) Tj T* -23.82236 0 Td ET Q Q q -1 0 0 1 256.6398 3 cm +1 0 0 1 256.6398 93 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 16.87236 0 Td (cached) Tj T* -16.87236 0 Td ET Q Q q -1 0 0 1 336.8445 3 cm +1 0 0 1 336.8445 93 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 55.85693 0 Td (notes) Tj T* -55.85693 0 Td ET Q Q -q -1 J -1 j -0 0 0 RG -.25 w -n 0 0 m 481.2283 0 l S -n 170.435 0 m 170.435 18 l S -n 250.6398 0 m 250.6398 18 l S -n 330.8445 0 m 330.8445 18 l S -n 0 18 m 481.2283 18 l S -n 0 0 m 0 18 l S -n 481.2283 0 m 481.2283 18 l S -Q -Q -Q - -endstream -endobj -171 0 obj -<< -/Length 9635 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET -q -1 0 0 1 57.02362 675.0236 cm -q -1 1 1 rg -n 0 90 481.2283 -18 re f* -.878431 .878431 .878431 rg -n 0 72 481.2283 -18 re f* -1 1 1 rg -n 0 54 481.2283 -18 re f* -.878431 .878431 .878431 rg -n 0 36 481.2283 -18 re f* -1 1 1 rg -n 0 18 481.2283 -18 re f* 0 0 0 rg BT /F1 10 Tf 12 TL ET q @@ -9085,108 +8840,115 @@ n 0 72 m 481.2283 72 l S n 0 54 m 481.2283 54 l S n 0 36 m 481.2283 36 l S n 0 18 m 481.2283 18 l S -n 170.435 0 m 170.435 90 l S -n 250.6398 0 m 250.6398 90 l S -n 330.8445 0 m 330.8445 90 l S -n 0 0 m 0 90 l S -n 481.2283 0 m 481.2283 90 l S +n 170.435 0 m 170.435 108 l S +n 250.6398 0 m 250.6398 108 l S +n 330.8445 0 m 330.8445 108 l S +n 0 108 m 481.2283 108 l S n 0 0 m 481.2283 0 l S +n 0 0 m 0 108 l S +n 481.2283 0 m 481.2283 108 l S Q Q Q q -1 0 0 1 57.02362 675.0236 cm +1 0 0 1 57.02362 277.0236 cm Q q -1 0 0 1 57.02362 609.0236 cm +1 0 0 1 57.02362 211.0236 cm q BT 1 0 0 1 0 50 Tm .204897 Tw 12 TL /F1 10 Tf 0 0 0 rg (Two comparisons matter. ) Tj /F3 10 Tf (Cold vs cold) Tj /F1 10 Tf ( is the honest end-to-end compare: Lumbda asm \(46 ms\) verifies the) Tj T* 0 Tw -0.127156 Tw (proof ) Tj /F3 10 Tf (~16\327 faster than Lean's cold rebuild) Tj /F1 10 Tf ( \(722 ms\) on the same hardware, because Lumbda doesn't link a) Tj T* 0 Tw .315636 Tw (compiled binary or spin up a kernel \227 it just runs a rewriter over five small terms. ) Tj /F3 10 Tf (Cached vs cached) Tj /F1 10 Tf ( is the) Tj T* 0 Tw 1.150966 Tw (throwaway benchmark but still interesting: Lumbda asm at 7 ms vs Lean at 5 ms, within 1.5\327, on what is) Tj T* 0 Tw (essentially "read a file and print five lines.") Tj T* ET Q Q q -1 0 0 1 57.02362 543.0236 cm +1 0 0 1 57.02362 145.0236 cm q BT 1 0 0 1 0 50 Tm .526772 Tw 12 TL /F3 10 Tf 0 0 0 rg (All four Lumbda tiers verify the proof.) Tj /F1 10 Tf ( A C ) Tj /F5 10 Tf (--fast) Tj /F1 10 Tf ( bytecode-compiler bug originally caused the final tier) Tj T* 0 Tw 10.06986 Tw (to hang on the rewriter's named-let loop; narrowed to a minimal reproduction \(see) Tj T* 0 Tw 1.693196 Tw /F5 10 Tf (c/TODO-named-let-bytecode.md) Tj /F1 10 Tf (\) and worked around in the proof file by using an internal recursive) Tj T* 0 Tw .558138 Tw /F5 10 Tf (define) Tj /F1 10 Tf ( in place of the offending named-let. All four tiers now complete in under 100 ms cold. ) Tj /F3 10 Tf (Reproduce:) Tj /F1 10 Tf T* 0 Tw /F5 10 Tf (make) Tj ( ) Tj (bench-proof) Tj /F1 10 Tf ( \(source: ) Tj /F5 10 Tf (tests/bench-proof.sh) Tj /F1 10 Tf (\).) Tj T* ET Q Q q -1 0 0 1 57.02362 441.0236 cm +1 0 0 1 57.02362 67.02362 cm q -BT 1 0 0 1 0 86 Tm 2.513543 Tw 12 TL /F3 10 Tf 0 0 0 rg (First machine-checked treatment.) Tj /F1 10 Tf ( The original paper \(Odrzywo) Tj /F9 10 Tf 12 TL (n) Tj /F1 10 Tf 12 TL (ek, arXiv:2603.21852v2, 2026-04-04\)) Tj T* 0 Tw .313453 Tw (presents the EML universality claim analytically \227 pure LaTeX mathematics, no formal tool. The companion) Tj T* 0 Tw .549873 Tw (Zenodo artifact is symbolic-regression / gradient-optimization code, not a verification. To our knowledge the) Tj T* 0 Tw 1.856373 Tw (Lean 4 proof shipped in this repo is the first machine-checked treatment of the EML identities, and the) Tj T* 0 Tw .247122 Tw (accompanying Lumbda-native checker is the first self-hosted machine-checked version. Five theorems, zero) Tj T* 0 Tw .312025 Tw /F5 10 Tf (sorry) Tj /F1 10 Tf (, no Mathlib dependency \227 ) Tj /F3 10 Tf (~1,280\327 faster than the brute-force numerical search) Tj /F1 10 Tf ( it replaced once) Tj T* 0 Tw 2.035223 Tw (the symbolic rewriter was written \(see \2478.6 for the full six-row comparison\), and carrying the additional) Tj T* 0 Tw (guarantee that no implementation quirk of floating point can ever break the conclusion.) Tj T* ET +BT 1 0 0 1 0 62 Tm 2.513543 Tw 12 TL /F3 10 Tf 0 0 0 rg (First machine-checked treatment.) Tj /F1 10 Tf ( The original paper \(Odrzywo) Tj /F8 10 Tf 12 TL (n) Tj /F1 10 Tf 12 TL (ek, arXiv:2603.21852v2, 2026-04-04\)) Tj T* 0 Tw .313453 Tw (presents the EML universality claim analytically \227 pure LaTeX mathematics, no formal tool. The companion) Tj T* 0 Tw .549873 Tw (Zenodo artifact is symbolic-regression / gradient-optimization code, not a verification. To our knowledge the) Tj T* 0 Tw 1.856373 Tw (Lean 4 proof shipped in this repo is the first machine-checked treatment of the EML identities, and the) Tj T* 0 Tw .247122 Tw (accompanying Lumbda-native checker is the first self-hosted machine-checked version. Five theorems, zero) Tj T* 0 Tw .312025 Tw /F5 10 Tf (sorry) Tj /F1 10 Tf (, no Mathlib dependency \227 ) Tj /F3 10 Tf (~1,280\327 faster than the brute-force numerical search) Tj /F1 10 Tf ( it replaced once) Tj T* 0 Tw ET +Q +Q + +endstream +endobj +174 0 obj +<< +/Length 7919 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET +q +1 0 0 1 57.02362 741.0236 cm +q +BT 1 0 0 1 0 14 Tm 2.035223 Tw 12 TL /F1 10 Tf 0 0 0 rg (the symbolic rewriter was written \(see \2478.3 for the full six-row comparison\), and carrying the additional) Tj T* 0 Tw (guarantee that no implementation quirk of floating point can ever break the conclusion.) Tj T* ET Q Q q -1 0 0 1 57.02362 401.8236 cm +1 0 0 1 57.02362 701.8236 cm q BT 1 0 0 1 0 3.2 Tm 168.4142 0 Td 19.2 TL /F2 16 Tf .133333 .133333 .133333 rg (9. Language Coverage) Tj T* -168.4142 0 Td ET Q Q q -1 0 0 1 57.02362 383.8236 cm +1 0 0 1 57.02362 683.8236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (Lumbda implements a near-complete R7RS-small Scheme:) Tj T* ET Q Q q -1 0 0 1 57.02362 329.8236 cm +1 0 0 1 57.02362 629.8236 cm q BT 1 0 0 1 0 38 Tm 1.369223 Tw 12 TL /F3 10 Tf 0 0 0 rg (Special forms) Tj /F1 10 Tf ( \(32\): ) Tj /F5 10 Tf (define) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (set!) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (lambda) Tj /F1 10 Tf (, ) Tj /F5 10 Tf /F6 10 Tf 12 TL (l) Tj /F5 10 Tf 12 TL /F1 10 Tf (, ) Tj /F5 10 Tf (if) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (cond) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (case) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (and) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (or) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (when) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (unless) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (begin) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (let) Tj /F1 10 Tf (,) Tj T* 0 Tw 10.15262 Tw /F5 10 Tf (let*) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (letrec) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (letrec*) Tj /F1 10 Tf (, named-let, ) Tj /F5 10 Tf (do) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (quasiquote) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (define-macro) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (define-syntax) Tj /F1 10 Tf (,) Tj T* 0 Tw 3.646907 Tw /F5 10 Tf (syntax-rules) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (let-syntax) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (letrec-syntax) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (apply) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (eval) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (values) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (call/cc) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (dynamic-wind) Tj /F1 10 Tf (,) Tj T* 0 Tw /F5 10 Tf (guard) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (parameterize) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (load) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (error) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (module) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (import) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (define-record-type) Tj /F1 10 Tf (.) Tj T* ET Q Q q -1 0 0 1 57.02362 299.8236 cm +1 0 0 1 57.02362 599.8236 cm q BT 1 0 0 1 0 14 Tm .150642 Tw 12 TL /F3 10 Tf 0 0 0 rg (Built-in functions) Tj /F1 10 Tf ( \(100+\): Full arithmetic \(exact rationals, inexact reals, trigonometry\), pairs & lists \(SRFI-1\),) Tj T* 0 Tw (strings \(mutable\), characters, vectors, hash tables, I/O \(ports, file system\), system interface, Python interop.) Tj T* ET Q Q q -1 0 0 1 57.02362 269.8236 cm +1 0 0 1 57.02362 569.8236 cm q BT 1 0 0 1 0 14 Tm 2.274835 Tw 12 TL /F3 10 Tf 0 0 0 rg (Hygienic macros) Tj /F1 10 Tf (: ) Tj /F5 10 Tf (syntax-rules) Tj /F1 10 Tf ( with ellipsis \() Tj /F5 10 Tf (...) Tj /F1 10 Tf (\) support. Pattern matching, template instantiation,) Tj T* 0 Tw (proper hygiene. Also ) Tj /F5 10 Tf (define-macro) Tj /F1 10 Tf ( for procedural macros.) Tj T* ET Q Q q -1 0 0 1 57.02362 239.8236 cm +1 0 0 1 57.02362 539.8236 cm q BT 1 0 0 1 0 14 Tm 1.958835 Tw 12 TL /F3 10 Tf 0 0 0 rg (Standard library) Tj /F1 10 Tf ( \() Tj /F5 10 Tf (stdlib.lsp) Tj /F1 10 Tf (, 385 lines\): Additional macros \() Tj /F5 10 Tf (swap!) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (fluid-let) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (while) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (dotimes) Tj /F1 10 Tf (\),) Tj T* 0 Tw (utility functions, simple object system, SRFI-2/8/64 test framework.) Tj T* ET Q Q q -1 0 0 1 57.02362 185.8236 cm +1 0 0 1 57.02362 485.8236 cm q BT 1 0 0 1 0 38 Tm 1.569862 Tw 12 TL /F3 10 Tf 0 0 0 rg (Test suite) Tj /F1 10 Tf (: 974 verified assertions covering lexing, parsing, special forms, bytecode compilation, macros) Tj T* 0 Tw .214835 Tw (\(hygienic & procedural\), continuations, generators, record types, modules, arithmetic, higher-order functions,) Tj T* 0 Tw 4.238031 Tw (error handling, portal serialization, cross-implementation portal exchange, file I/O parity, & graceful) Tj T* 0 Tw (degradation on mismatched or corrupt input.) Tj T* ET Q Q q -1 0 0 1 57.02362 154.6236 cm +1 0 0 1 57.02362 454.6236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (9.1 Integer Square Root \() Tj /F5 11 Tf 0 0 0 rg (isqrt) Tj /F2 11 Tf .133333 .133333 .133333 rg (\)) Tj T* ET Q Q q -1 0 0 1 57.02362 98.62362 cm +1 0 0 1 57.02362 398.6236 cm q BT 1 0 0 1 0 38 Tm .712417 Tw 12 TL /F5 10 Tf 0 0 0 rg (sqrt) Tj /F1 10 Tf ( returns an inexact real. That is the right answer when the caller wants a distance or a norm, and the) Tj T* 0 Tw 1.139272 Tw (wrong answer when the caller wants a count: bucket indices, loop bounds, coordinates on a grid, bignum) Tj T* 0 Tw .078241 Tw (primality witnesses. Float ) Tj /F5 10 Tf (sqrt) Tj /F1 10 Tf ( drifts with FPU mode, with the ) Tj /F5 10 Tf (libm) Tj /F1 10 Tf ( in play, and across platforms \227 none of) Tj T* 0 Tw (which a portal should let into a replay trace.) Tj T* ET Q Q - -endstream -endobj -172 0 obj -<< -/Length 9595 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 729.0236 cm +1 0 0 1 57.02362 356.6236 cm q BT 1 0 0 1 0 26 Tm 2.533196 Tw 12 TL /F5 10 Tf 0 0 0 rg (\(isqrt) Tj ( ) Tj (n\)) Tj ( ) Tj /F6 10 Tf 12 TL (\256) Tj /F5 10 Tf 12 TL ( ) Tj (floor\(sqrt\(n\)\)) Tj /F1 10 Tf ( ships in all three implementations. Contract matches Python 3.8+) Tj T* 0 Tw 3.752835 Tw /F5 10 Tf (math.isqrt) Tj /F1 10 Tf ( and the integer half of R7RS ) Tj /F5 10 Tf (exact-integer-sqrt) Tj /F1 10 Tf (: integer-in, integer-out, negative) Tj T* 0 Tw (argument raises. No floats anywhere in the pipeline.) Tj T* ET Q Q q -1 0 0 1 57.02362 659.8236 cm +1 0 0 1 57.02362 287.4236 cm q q 1 0 0 1 0 0 cm @@ -9206,168 +8968,168 @@ Q Q Q q -1 0 0 1 57.02362 591.8236 cm +1 0 0 1 57.02362 219.4236 cm q BT 1 0 0 1 0 50 Tm -0.038471 Tw 12 TL /F3 10 Tf 0 0 0 rg (Algorithm.) Tj /F1 10 Tf ( Bit-by-bit digit-recurrence \(Wikipedia "Methods of computing square roots"\). O\(log n\) shifts, adds,) Tj T* 0 Tw 1.488647 Tw (and compares; no multiplies, no divides, no FPU. The C and asm implementations share the same loop) Tj T* 0 Tw 1.015596 Tw (skeleton \227 the asm version \() Tj /F5 10 Tf (bi_isqrt) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (asm/lumbda.s) Tj /F1 10 Tf (\) runs it in three integer registers \() Tj /F5 10 Tf (%r8) Tj /F1 10 Tf ( radicand,) Tj T* 0 Tw 1.86131 Tw /F5 10 Tf (%r9) Tj /F1 10 Tf ( bit, ) Tj /F5 10 Tf (%r10) Tj /F1 10 Tf ( result\) with no memory traffic per iteration. Python delegates to CPython's ) Tj /F5 10 Tf (math.isqrt) Tj /F1 10 Tf (,) Tj T* 0 Tw (which uses Karatsuba-square-root for bignums.) Tj T* ET Q Q q -1 0 0 1 57.02362 537.8236 cm +1 0 0 1 57.02362 165.4236 cm q BT 1 0 0 1 0 38 Tm 3.483719 Tw 12 TL /F3 10 Tf 0 0 0 rg (Domain limits.) Tj /F1 10 Tf ( Python: unbounded \227 works on arbitrary-precision ) Tj /F5 10 Tf (int) Tj /F1 10 Tf (. asm: 61-bit \(three tag bits) Tj T* 0 Tw 2.529272 Tw (consumed at the bottom of the word\). C: 48-bit \(NaN-boxed doubles carry the integer payload in the) Tj T* 0 Tw .159314 Tw (mantissa\). Portal round-trips remain bit-identical within the smaller of the two tiers on either end; a value that) Tj T* 0 Tw (fits in the C tier's 48-bit window survives every Python ) Tj /F6 10 Tf 12 TL (\253) Tj /F1 10 Tf 12 TL ( C ) Tj /F6 10 Tf 12 TL (\253) Tj /F1 10 Tf 12 TL ( asm crossing in \2477.2's 3\3273 matrix.) Tj T* ET Q Q q -1 0 0 1 57.02362 495.8236 cm +1 0 0 1 57.02362 123.4236 cm q BT 1 0 0 1 0 26 Tm .745917 Tw 12 TL /F3 10 Tf 0 0 0 rg (MOAD-0001 note.) Tj /F1 10 Tf ( Each call is O\(log n\) in the value, not in the heap or the symbol table. No hidden linear) Tj T* 0 Tw 2.156019 Tw (scan, no per-call allocation in C or asm. Safe to invoke inside a tight loop without inflating the overall) Tj T* 0 Tw (complexity class.) Tj T* ET Q Q -q -1 0 0 1 57.02362 464.6236 cm -q -BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (9.2 Common Lisp Compatibility: Zo\353's Favorites) Tj T* ET -Q -Q -q -1 0 0 1 57.02362 372.6236 cm -q -BT 1 0 0 1 0 74 Tm 1.23295 Tw 12 TL /F1 10 Tf 0 0 0 rg (Scheme and Common Lisp take opposite stances on iteration. Scheme iterates through tail-recursion; CL) Tj T* 0 Tw .960642 Tw (iterates through its ) Tj /F5 10 Tf (loop) Tj /F1 10 Tf ( macro, ) Tj /F5 10 Tf (setf) Tj /F1 10 Tf (, and an image-based development culture where processes outlive) Tj T* 0 Tw .861079 Tw (the developer's attention by days or months. Zo\353 Trout asked the question that frames this section: ) Tj /F4 10 Tf (do we) Tj T* 0 Tw .106556 Tw (care for our programs, and how long are they alive for?) Tj /F1 10 Tf ( Her favorite programs at ) Tj 0 .4 .6 rg (wedgewack.org/ursa.lisp.txt) Tj 0 0 0 rg T* 0 Tw .328835 Tw (\227 modular exponentiation, Miller-Rabin primality, Pollard rho factorization, Lucas-Lehmer Mersenne testing,) Tj T* 0 Tw .031772 Tw (digit-vector round-trips, random prime generation \227 carry the CL iterative DNA. They were written to be read) Tj T* 0 Tw (and modified inside a stone-lisp image, not rewritten as tail recursion by a porting tool.) Tj T* ET -Q -Q -q -1 0 0 1 57.02362 318.6236 cm -q -BT 1 0 0 1 0 38 Tm 5.437594 Tw 12 TL /F1 10 Tf 0 0 0 rg (Ticket ) Tj /F5 10 Tf (docs/tickets/0004-cl-compat.md) Tj /F1 10 Tf ( answers in two layers: ) Tj /F4 10 Tf (\(a\)) Tj /F1 10 Tf ( idiomatic Scheme ports) Tj T* 0 Tw -0.009304 Tw (\() Tj /F5 10 Tf (examples/ursa-scheme.lsp) Tj /F1 10 Tf (\) for readers who prefer named-let and tail recursion, and ) Tj /F4 10 Tf (\(b\)) Tj /F1 10 Tf ( a compatibility) Tj T* 0 Tw -0.09011 Tw (shim \() Tj /F5 10 Tf (cl-compat.lsp) Tj /F1 10 Tf (\) plus a ) Tj /F5 10 Tf (cl-loop) Tj /F1 10 Tf ( macro that runs Zo\353's original CL source \227 minimally annotated \227) Tj T* 0 Tw (on lumbda without rewriting its iterative shape.) Tj T* ET -Q -Q -q -1 0 0 1 57.02362 240.6236 cm -q -BT 1 0 0 1 0 62 Tm 5.346529 Tw 12 TL /F3 10 Tf 0 0 0 rg (What the shim covers.) Tj /F1 10 Tf ( ) Tj /F5 10 Tf (defun) Tj /F1 10 Tf ( with ) Tj /F5 10 Tf (&) Tj (optional) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (setf) Tj /F1 10 Tf ( on simple variables \(multi-pair\), ) Tj /F5 10 Tf (flet) Tj /F1 10 Tf (,) Tj T* 0 Tw .40402 Tw /F5 10 Tf (multiple-value-bind) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (t) Tj /F1 10 Tf ( and ) Tj /F5 10 Tf (nil) Tj /F1 10 Tf ( \(nil bound to ) Tj /F5 10 Tf (#f) Tj /F1 10 Tf ( \227 CL code overwhelmingly uses nil as false\), the ) Tj /F5 10 Tf (-p) Tj /F1 10 Tf T* 0 Tw .82218 Tw (predicates \() Tj /F5 10 Tf (evenp) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (oddp) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (plusp) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (minusp) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (zerop) Tj /F1 10 Tf (\), bit and integer ops \() Tj /F5 10 Tf (mod) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (ash) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (logbitp) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (nreverse) Tj /F1 10 Tf (\),) Tj T* 0 Tw 1.603196 Tw /F5 10 Tf (declare) Tj /F1 10 Tf ( forms as no-ops, and ) Tj /F5 10 Tf (cl-when) Tj /F1 10 Tf ( / ) Tj /F5 10 Tf (cl-unless) Tj /F1 10 Tf ( with CL-style return-nil-on-false semantics \(plain) Tj T* 0 Tw 1.183797 Tw /F5 10 Tf (when) Tj /F1 10 Tf ( / ) Tj /F5 10 Tf (unless) Tj /F1 10 Tf ( are lumbda special forms that return ) Tj /F5 10 Tf (#) Tj (<) Tj (void) Tj (>) Tj /F1 10 Tf ( \227 which Scheme treats as truthy \227 so a) Tj T* 0 Tw (prefixed name opts into CL semantics without shadowing the core\).) Tj T* ET -Q -Q -q -1 0 0 1 57.02362 174.6236 cm -q -BT 1 0 0 1 0 50 Tm 3.257223 Tw 12 TL /F3 10 Tf 0 0 0 rg (cl-loop.) Tj /F1 10 Tf ( A ) Tj /F5 10 Tf (define-macro) Tj /F1 10 Tf ( over the 14 clause shapes used in Zo\353's source: ) Tj /F5 10 Tf (with) Tj ( ) Tj (VAR) Tj ( ) Tj (=) Tj ( ) Tj (INIT) Tj /F1 10 Tf (,) Tj T* 0 Tw 5.92589 Tw /F5 10 Tf (for) Tj ( ) Tj (VAR) Tj ( ) Tj (from) Tj ( ) Tj (A) Tj ( ) Tj ([to) Tj ( ) Tj (|) Tj ( ) Tj (below) Tj ( ) Tj (|) Tj ( ) Tj (downto]) Tj ( ) Tj (B) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (for) Tj ( ) Tj (VAR) Tj ( ) Tj (=) Tj ( ) Tj (INIT) Tj ( ) Tj ([then) Tj ( ) Tj (STEP]) Tj /F1 10 Tf (,) Tj T* 0 Tw 6.942025 Tw /F5 10 Tf (for) Tj ( ) Tj (VAR) Tj ( ) Tj (across) Tj ( ) Tj (VEC) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (of-type) Tj ( ) Tj (T) Tj /F1 10 Tf ( hints, ) Tj /F5 10 Tf (while) Tj /F1 10 Tf ( / ) Tj /F5 10 Tf (until) Tj /F1 10 Tf ( / ) Tj /F5 10 Tf (repeat) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (do) Tj ( ) Tj (EXPR) Tj ( ) Tj (...) Tj /F1 10 Tf (,) Tj T* 0 Tw .083719 Tw /F5 10 Tf (when) Tj ( ) Tj (TEST) Tj ( ) Tj (return) Tj ( ) Tj (VAL) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (unless) Tj ( ) Tj (TEST) Tj ( ) Tj (return) Tj ( ) Tj (VAL) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (finally) Tj ( ) Tj (\(return) Tj ( ) Tj (VAL\)) Tj /F1 10 Tf ( and ) Tj /F5 10 Tf (finally) Tj ( ) Tj (BODY) Tj /F1 10 Tf (.) Tj T* 0 Tw (Every expansion lands in a named-let tail call, so TCO keeps the stack flat for loops of any length.) Tj T* ET -Q -Q -q -1 0 0 1 57.02362 96.62362 cm -q -BT 1 0 0 1 0 62 Tm 3.522362 Tw 12 TL /F1 10 Tf 0 0 0 rg (Stepping is ) Tj /F5 10 Tf (do*) Tj /F1 10 Tf (-sequential: each iteration variable's step form sees NEW values of earlier-declared) Tj T* 0 Tw .026229 Tw (variables. This matters for Zo\353's ) Tj /F5 10 Tf (\(loop) Tj ( ) Tj (for) Tj ( ) Tj (i) Tj ( ) Tj (from) Tj ( ) Tj (4) Tj ( ) Tj (downto) Tj ( ) Tj (0) Tj ( ) Tj (for) Tj ( ) Tj (sum) Tj ( ) Tj (=) Tj ( ) Tj (\(expt) Tj ( ) Tj (2) Tj ( ) Tj (i\)) Tj ( ) Tj (then) Tj ( ) Tj (\(+) Tj T* 0 Tw .979903 Tw ( ) Tj (sum) Tj ( ) Tj (\(*) Tj ( ) Tj (\(random) Tj ( ) Tj (2\)) Tj ( ) Tj (\(expt) Tj ( ) Tj (2) Tj ( ) Tj (i\)\)\)\)) Tj /F1 10 Tf ( \227 sum's step uses the just-decremented i, yielding a uniform) Tj T* 0 Tw 3.407739 Tw (random n-bit integer with the top bit set. The macro implements sequential stepping by gensyming) Tj T* 0 Tw .129223 Tw (new-names for each state variable and using ) Tj /F5 10 Tf (cl-subst) Tj /F1 10 Tf ( to rename earlier-vars inside each step form before) Tj T* 0 Tw (emitting the recursive call.) Tj T* ET -Q -Q -q -1 0 0 1 57.02362 66.62362 cm -q -BT 1 0 0 1 0 14 Tm .379272 Tw 12 TL /F1 10 Tf 0 0 0 rg (Termination is split into two phases to match CL semantics exactly. ) Tj /F5 10 Tf (while) Tj /F1 10 Tf ( and ) Tj /F5 10 Tf (until) Tj /F1 10 Tf ( are pre-body checks) Tj T* 0 Tw .410522 Tw (on current state. ) Tj /F5 10 Tf (repeat) Tj /F1 10 Tf ( and ) Tj /F5 10 Tf (for-range) Tj /F1 10 Tf ( are look-ahead checks on stepped state: after the body runs, we) Tj T* 0 Tw ET -Q -Q endstream endobj -173 0 obj +175 0 obj << -/Length 9777 +/Length 10399 >> stream 1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 693.0236 cm +1 0 0 1 57.02362 751.8236 cm q -BT 1 0 0 1 0 62 Tm .124609 Tw 12 TL /F1 10 Tf 0 0 0 rg (compute new values into fresh gensym bindings, check termination against those, and if any fires we run the) Tj T* 0 Tw .443223 Tw (finalizer with the CURRENT \(unstepped\) state variables still in scope from the outer named-let. This mirrors) Tj T* 0 Tw 17.3057 Tw (CL's "would step past the limit" rule and matters for a loop like) Tj T* 0 Tw .425197 Tw /F5 10 Tf (\(loop) Tj ( ) Tj (repeat) Tj ( ) Tj (4) Tj ( ) Tj (for) Tj ( ) Tj (s) Tj ( ) Tj (of-type) Tj ( ) Tj (integer) Tj ( ) Tj (=) Tj ( ) Tj (4) Tj ( ) Tj (then) Tj ( ) Tj (\(-) Tj ( ) Tj (\(*) Tj ( ) Tj (s) Tj ( ) Tj (s\)) Tj ( ) Tj (2\)) Tj ( ) Tj (finally) Tj ( ) Tj (\(return) Tj ( ) Tj (s\)\)) Tj /F1 10 Tf T* 0 Tw 6.62295 Tw (\227 the finalizer returns ) Tj /F5 10 Tf (s_{p-2}) Tj ( ) Tj (=) Tj ( ) Tj (37634) Tj /F1 10 Tf ( after four body-runs and three step-forms, not) Tj T* 0 Tw /F5 10 Tf (s_{p-1}) Tj ( ) Tj (=) Tj ( ) Tj (1416317954) Tj /F1 10 Tf ( after four step-forms.) Tj T* ET +BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (9.2 Common Lisp Compatibility: Zo\353's Favorites) Tj T* ET Q Q q -1 0 0 1 57.02362 591.0236 cm +1 0 0 1 57.02362 659.8236 cm +q +BT 1 0 0 1 0 74 Tm 1.23295 Tw 12 TL /F1 10 Tf 0 0 0 rg (Scheme and Common Lisp take opposite stances on iteration. Scheme iterates through tail-recursion; CL) Tj T* 0 Tw .960642 Tw (iterates through its ) Tj /F5 10 Tf (loop) Tj /F1 10 Tf ( macro, ) Tj /F5 10 Tf (setf) Tj /F1 10 Tf (, and an image-based development culture where processes outlive) Tj T* 0 Tw .861079 Tw (the developer's attention by days or months. Zo\353 Trout asked the question that frames this section: ) Tj /F4 10 Tf (do we) Tj T* 0 Tw .106556 Tw (care for our programs, and how long are they alive for?) Tj /F1 10 Tf ( Her favorite programs at ) Tj 0 .4 .6 rg (wedgewack.org/ursa.lisp.txt) Tj 0 0 0 rg T* 0 Tw .328835 Tw (\227 modular exponentiation, Miller-Rabin primality, Pollard rho factorization, Lucas-Lehmer Mersenne testing,) Tj T* 0 Tw .031772 Tw (digit-vector round-trips, random prime generation \227 carry the CL iterative DNA. They were written to be read) Tj T* 0 Tw (and modified inside a stone-lisp image, not rewritten as tail recursion by a porting tool.) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 605.8236 cm +q +BT 1 0 0 1 0 38 Tm 5.437594 Tw 12 TL /F1 10 Tf 0 0 0 rg (Ticket ) Tj /F5 10 Tf (docs/tickets/0004-cl-compat.md) Tj /F1 10 Tf ( answers in two layers: ) Tj /F4 10 Tf (\(a\)) Tj /F1 10 Tf ( idiomatic Scheme ports) Tj T* 0 Tw -0.009304 Tw (\() Tj /F5 10 Tf (examples/ursa-scheme.lsp) Tj /F1 10 Tf (\) for readers who prefer named-let and tail recursion, and ) Tj /F4 10 Tf (\(b\)) Tj /F1 10 Tf ( a compatibility) Tj T* 0 Tw -0.09011 Tw (shim \() Tj /F5 10 Tf (cl-compat.lsp) Tj /F1 10 Tf (\) plus a ) Tj /F5 10 Tf (cl-loop) Tj /F1 10 Tf ( macro that runs Zo\353's original CL source \227 minimally annotated \227) Tj T* 0 Tw (on lumbda without rewriting its iterative shape.) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 527.8236 cm +q +BT 1 0 0 1 0 62 Tm 5.346529 Tw 12 TL /F3 10 Tf 0 0 0 rg (What the shim covers.) Tj /F1 10 Tf ( ) Tj /F5 10 Tf (defun) Tj /F1 10 Tf ( with ) Tj /F5 10 Tf (&) Tj (optional) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (setf) Tj /F1 10 Tf ( on simple variables \(multi-pair\), ) Tj /F5 10 Tf (flet) Tj /F1 10 Tf (,) Tj T* 0 Tw .40402 Tw /F5 10 Tf (multiple-value-bind) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (t) Tj /F1 10 Tf ( and ) Tj /F5 10 Tf (nil) Tj /F1 10 Tf ( \(nil bound to ) Tj /F5 10 Tf (#f) Tj /F1 10 Tf ( \227 CL code overwhelmingly uses nil as false\), the ) Tj /F5 10 Tf (-p) Tj /F1 10 Tf T* 0 Tw .82218 Tw (predicates \() Tj /F5 10 Tf (evenp) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (oddp) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (plusp) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (minusp) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (zerop) Tj /F1 10 Tf (\), bit and integer ops \() Tj /F5 10 Tf (mod) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (ash) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (logbitp) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (nreverse) Tj /F1 10 Tf (\),) Tj T* 0 Tw 1.603196 Tw /F5 10 Tf (declare) Tj /F1 10 Tf ( forms as no-ops, and ) Tj /F5 10 Tf (cl-when) Tj /F1 10 Tf ( / ) Tj /F5 10 Tf (cl-unless) Tj /F1 10 Tf ( with CL-style return-nil-on-false semantics \(plain) Tj T* 0 Tw 1.183797 Tw /F5 10 Tf (when) Tj /F1 10 Tf ( / ) Tj /F5 10 Tf (unless) Tj /F1 10 Tf ( are lumbda special forms that return ) Tj /F5 10 Tf (#) Tj (<) Tj (void) Tj (>) Tj /F1 10 Tf ( \227 which Scheme treats as truthy \227 so a) Tj T* 0 Tw (prefixed name opts into CL semantics without shadowing the core\).) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 461.8236 cm +q +BT 1 0 0 1 0 50 Tm 3.257223 Tw 12 TL /F3 10 Tf 0 0 0 rg (cl-loop.) Tj /F1 10 Tf ( A ) Tj /F5 10 Tf (define-macro) Tj /F1 10 Tf ( over the 14 clause shapes used in Zo\353's source: ) Tj /F5 10 Tf (with) Tj ( ) Tj (VAR) Tj ( ) Tj (=) Tj ( ) Tj (INIT) Tj /F1 10 Tf (,) Tj T* 0 Tw 5.92589 Tw /F5 10 Tf (for) Tj ( ) Tj (VAR) Tj ( ) Tj (from) Tj ( ) Tj (A) Tj ( ) Tj ([to) Tj ( ) Tj (|) Tj ( ) Tj (below) Tj ( ) Tj (|) Tj ( ) Tj (downto]) Tj ( ) Tj (B) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (for) Tj ( ) Tj (VAR) Tj ( ) Tj (=) Tj ( ) Tj (INIT) Tj ( ) Tj ([then) Tj ( ) Tj (STEP]) Tj /F1 10 Tf (,) Tj T* 0 Tw 6.942025 Tw /F5 10 Tf (for) Tj ( ) Tj (VAR) Tj ( ) Tj (across) Tj ( ) Tj (VEC) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (of-type) Tj ( ) Tj (T) Tj /F1 10 Tf ( hints, ) Tj /F5 10 Tf (while) Tj /F1 10 Tf ( / ) Tj /F5 10 Tf (until) Tj /F1 10 Tf ( / ) Tj /F5 10 Tf (repeat) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (do) Tj ( ) Tj (EXPR) Tj ( ) Tj (...) Tj /F1 10 Tf (,) Tj T* 0 Tw .083719 Tw /F5 10 Tf (when) Tj ( ) Tj (TEST) Tj ( ) Tj (return) Tj ( ) Tj (VAL) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (unless) Tj ( ) Tj (TEST) Tj ( ) Tj (return) Tj ( ) Tj (VAL) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (finally) Tj ( ) Tj (\(return) Tj ( ) Tj (VAL\)) Tj /F1 10 Tf ( and ) Tj /F5 10 Tf (finally) Tj ( ) Tj (BODY) Tj /F1 10 Tf (.) Tj T* 0 Tw (Every expansion lands in a named-let tail call, so TCO keeps the stack flat for loops of any length.) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 383.8236 cm +q +BT 1 0 0 1 0 62 Tm 3.522362 Tw 12 TL /F1 10 Tf 0 0 0 rg (Stepping is ) Tj /F5 10 Tf (do*) Tj /F1 10 Tf (-sequential: each iteration variable's step form sees NEW values of earlier-declared) Tj T* 0 Tw .026229 Tw (variables. This matters for Zo\353's ) Tj /F5 10 Tf (\(loop) Tj ( ) Tj (for) Tj ( ) Tj (i) Tj ( ) Tj (from) Tj ( ) Tj (4) Tj ( ) Tj (downto) Tj ( ) Tj (0) Tj ( ) Tj (for) Tj ( ) Tj (sum) Tj ( ) Tj (=) Tj ( ) Tj (\(expt) Tj ( ) Tj (2) Tj ( ) Tj (i\)) Tj ( ) Tj (then) Tj ( ) Tj (\(+) Tj T* 0 Tw .979903 Tw ( ) Tj (sum) Tj ( ) Tj (\(*) Tj ( ) Tj (\(random) Tj ( ) Tj (2\)) Tj ( ) Tj (\(expt) Tj ( ) Tj (2) Tj ( ) Tj (i\)\)\)\)) Tj /F1 10 Tf ( \227 sum's step uses the just-decremented i, yielding a uniform) Tj T* 0 Tw 3.407739 Tw (random n-bit integer with the top bit set. The macro implements sequential stepping by gensyming) Tj T* 0 Tw .129223 Tw (new-names for each state variable and using ) Tj /F5 10 Tf (cl-subst) Tj /F1 10 Tf ( to rename earlier-vars inside each step form before) Tj T* 0 Tw (emitting the recursive call.) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 281.8236 cm +q +BT 1 0 0 1 0 86 Tm .379272 Tw 12 TL /F1 10 Tf 0 0 0 rg (Termination is split into two phases to match CL semantics exactly. ) Tj /F5 10 Tf (while) Tj /F1 10 Tf ( and ) Tj /F5 10 Tf (until) Tj /F1 10 Tf ( are pre-body checks) Tj T* 0 Tw .410522 Tw (on current state. ) Tj /F5 10 Tf (repeat) Tj /F1 10 Tf ( and ) Tj /F5 10 Tf (for-range) Tj /F1 10 Tf ( are look-ahead checks on stepped state: after the body runs, we) Tj T* 0 Tw .124609 Tw (compute new values into fresh gensym bindings, check termination against those, and if any fires we run the) Tj T* 0 Tw .443223 Tw (finalizer with the CURRENT \(unstepped\) state variables still in scope from the outer named-let. This mirrors) Tj T* 0 Tw 17.3057 Tw (CL's "would step past the limit" rule and matters for a loop like) Tj T* 0 Tw .425197 Tw /F5 10 Tf (\(loop) Tj ( ) Tj (repeat) Tj ( ) Tj (4) Tj ( ) Tj (for) Tj ( ) Tj (s) Tj ( ) Tj (of-type) Tj ( ) Tj (integer) Tj ( ) Tj (=) Tj ( ) Tj (4) Tj ( ) Tj (then) Tj ( ) Tj (\(-) Tj ( ) Tj (\(*) Tj ( ) Tj (s) Tj ( ) Tj (s\)) Tj ( ) Tj (2\)) Tj ( ) Tj (finally) Tj ( ) Tj (\(return) Tj ( ) Tj (s\)\)) Tj /F1 10 Tf T* 0 Tw 6.62295 Tw (\227 the finalizer returns ) Tj /F5 10 Tf (s_{p-2}) Tj ( ) Tj (=) Tj ( ) Tj (37634) Tj /F1 10 Tf ( after four body-runs and three step-forms, not) Tj T* 0 Tw /F5 10 Tf (s_{p-1}) Tj ( ) Tj (=) Tj ( ) Tj (1416317954) Tj /F1 10 Tf ( after four step-forms.) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 179.8236 cm q BT 1 0 0 1 0 86 Tm .289903 Tw 12 TL /F3 10 Tf 0 0 0 rg (Guarantees that survive.) Tj /F1 10 Tf ( Every shim is syntactic sugar over the same functional core the rest of this paper) Tj T* 0 Tw .719272 Tw (describes. ) Tj /F5 10 Tf (defun) Tj /F1 10 Tf ( expands to ) Tj /F5 10 Tf (define) Tj /F1 10 Tf (. ) Tj /F5 10 Tf (setf) Tj /F1 10 Tf ( on a simple variable expands to ) Tj /F5 10 Tf (set!) Tj /F1 10 Tf ( \227 a capability lumbda) Tj T* 0 Tw 2.518647 Tw (already carries. ) Tj /F5 10 Tf (flet) Tj /F1 10 Tf ( expands to ) Tj /F5 10 Tf (let) Tj /F1 10 Tf ( + ) Tj /F5 10 Tf (lambda) Tj /F1 10 Tf (. ) Tj /F5 10 Tf (cl-loop) Tj /F1 10 Tf ( expands to ) Tj /F5 10 Tf (let*) Tj /F1 10 Tf ( + named-let + ) Tj /F5 10 Tf (cond) Tj /F1 10 Tf ( +) Tj T* 0 Tw .924029 Tw (tail-recursive calls. Portal determinism and cross-implementation reproducibility both hold: the shim is pure) Tj T* 0 Tw .980556 Tw (Scheme, loads identically in Python, C, and the ) Tj /F5 10 Tf (asm/lumbda-full) Tj /F1 10 Tf ( tier \(see \2473's three asm flavors\), and) Tj T* 0 Tw 2.11189 Tw (introduces no new mutable types \227 Zo\353's ) Tj /F5 10 Tf (rho) Tj /F1 10 Tf ( work-queue would require an adjustable vector, so the) Tj T* 0 Tw 1.16713 Tw (Scheme port uses a list-backed stack and the CL version omits that defun \(see ticket 0004 for the scope) Tj T* 0 Tw (boundary\).) Tj T* ET Q Q q -1 0 0 1 57.02362 561.0236 cm +1 0 0 1 57.02362 149.8236 cm q BT 1 0 0 1 0 14 Tm .77389 Tw 12 TL /F3 10 Tf 0 0 0 rg (Five defects uncovered along the way.) Tj /F1 10 Tf ( Building cl-compat across three tiers surfaced five real bugs that) Tj T* 0 Tw (the existing 158-assertion asm suite had never exercised.) Tj T* ET Q Q q -1 0 0 1 57.02362 459.0236 cm +1 0 0 1 57.02362 71.82362 cm q -BT 1 0 0 1 0 86 Tm 1.629104 Tw 12 TL /F4 10 Tf 0 0 0 rg (C ``env_lookup``:) Tj /F1 10 Tf ( a "global shortcut" checked the global environment immediately after missing the local) Tj T* 0 Tw 32.46262 Tw (frame, skipping intermediate parent scopes. For code like) Tj T* 0 Tw .27465 Tw /F5 10 Tf (\(define) Tj ( ) Tj (s) Tj ( ) Tj (4\)) Tj ( ) Tj (\(let) Tj ( ) Tj (\(\(s) Tj ( ) Tj (100\)\)) Tj ( ) Tj (\(let) Tj ( ) Tj (\(\(m) Tj ( ) Tj (0\)\)) Tj ( ) Tj (s\)\)) Tj /F1 10 Tf (, the inner ) Tj /F5 10 Tf (let) Tj /F1 10 Tf ('s body resolved ) Tj /F5 10 Tf (s) Tj /F1 10 Tf ( to the global ) Tj /F5 10 Tf (4) Tj /F1 10 Tf T* 0 Tw 2.071667 Tw (instead of the shadowed ) Tj /F5 10 Tf (100) Tj /F1 10 Tf ( \227 the shortcut fired before the parent chain was walked. Any code that) Tj T* 0 Tw 1.25789 Tw (shadowed a global inside a ) Tj /F5 10 Tf (let) Tj /F1 10 Tf (, then opened another ) Tj /F5 10 Tf (let) Tj /F1 10 Tf ( whose body referenced the shadowed name,) Tj T* 0 Tw .630596 Tw (silently read the global. Under stone-lisp style \227 global bindings carrying across REPL restarts, shadowing) Tj T* 0 Tw 1.270556 Tw (routine \227 this defect waited for years. ) Tj /F5 10 Tf (cl-loop) Tj /F1 10 Tf ( triggered it because iterator names routinely collide with) Tj T* 0 Tw (globals accumulated over an image's lifetime. Fix: walk the parent chain end-to-end.) Tj T* ET +BT 1 0 0 1 0 62 Tm 1.629104 Tw 12 TL /F4 10 Tf 0 0 0 rg (C ``env_lookup``:) Tj /F1 10 Tf ( a "global shortcut" checked the global environment immediately after missing the local) Tj T* 0 Tw 32.46262 Tw (frame, skipping intermediate parent scopes. For code like) Tj T* 0 Tw .27465 Tw /F5 10 Tf (\(define) Tj ( ) Tj (s) Tj ( ) Tj (4\)) Tj ( ) Tj (\(let) Tj ( ) Tj (\(\(s) Tj ( ) Tj (100\)\)) Tj ( ) Tj (\(let) Tj ( ) Tj (\(\(m) Tj ( ) Tj (0\)\)) Tj ( ) Tj (s\)\)) Tj /F1 10 Tf (, the inner ) Tj /F5 10 Tf (let) Tj /F1 10 Tf ('s body resolved ) Tj /F5 10 Tf (s) Tj /F1 10 Tf ( to the global ) Tj /F5 10 Tf (4) Tj /F1 10 Tf T* 0 Tw 2.071667 Tw (instead of the shadowed ) Tj /F5 10 Tf (100) Tj /F1 10 Tf ( \227 the shortcut fired before the parent chain was walked. Any code that) Tj T* 0 Tw 1.25789 Tw (shadowed a global inside a ) Tj /F5 10 Tf (let) Tj /F1 10 Tf (, then opened another ) Tj /F5 10 Tf (let) Tj /F1 10 Tf ( whose body referenced the shadowed name,) Tj T* 0 Tw .630596 Tw (silently read the global. Under stone-lisp style \227 global bindings carrying across REPL restarts, shadowing) Tj T* 0 Tw ET +Q +Q + +endstream +endobj +176 0 obj +<< +/Length 9866 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET +q +1 0 0 1 57.02362 741.0236 cm +q +BT 1 0 0 1 0 14 Tm 1.270556 Tw 12 TL /F1 10 Tf 0 0 0 rg (routine \227 this defect waited for years. ) Tj /F5 10 Tf (cl-loop) Tj /F1 10 Tf ( triggered it because iterator names routinely collide with) Tj T* 0 Tw (globals accumulated over an image's lifetime. Fix: walk the parent chain end-to-end.) Tj T* ET Q Q q -1 0 0 1 57.02362 405.0236 cm +1 0 0 1 57.02362 687.0236 cm q BT 1 0 0 1 0 38 Tm 1.205223 Tw 12 TL /F4 10 Tf 0 0 0 rg (asm ``bi_apply``:) Tj /F1 10 Tf ( the second argument was being clobbered. ) Tj /F5 10 Tf (\(apply) Tj ( ) Tj (f) Tj ( ) Tj ('\(1) Tj ( ) Tj (2) Tj ( ) Tj (3\)\)) Tj /F1 10 Tf ( silently reduced to) Tj T* 0 Tw .300491 Tw /F5 10 Tf (\(f\)) Tj /F1 10 Tf ( \227 the args-list got overwritten by the proc, and ) Tj /F5 10 Tf (%r12) Tj /F1 10 Tf ( \(empty after two ) Tj /F5 10 Tf (GETARG``s\)) Tj ( ) Tj (became) Tj ( ) Tj (the) Tj ( ) Tj (ar) Tj T* 0 Tw 3.188031 Tw (gument) Tj ( ) Tj (list) Tj ( ) Tj (instead.) Tj ( ) Tj (Fix:) Tj ( ) Tj (load) Tj ( ) Tj (the) Tj ( ) Tj (list) Tj ( ) Tj (straight) Tj ( ) Tj (into) Tj ( ) Tj (``%rsi) Tj /F1 10 Tf (. Surfaced because) Tj T* 0 Tw /F5 10 Tf (cl-compat) Tj /F1 10 Tf ('s ) Tj /F5 10 Tf (cl-append) Tj /F1 10 Tf ( relies on variadic ) Tj /F5 10 Tf (apply) Tj /F1 10 Tf (.) Tj T* ET Q Q q -1 0 0 1 57.02362 351.0236 cm +1 0 0 1 57.02362 633.0236 cm q BT 1 0 0 1 0 38 Tm 2.567122 Tw 12 TL /F4 10 Tf 0 0 0 rg (asm ``bi_expt``:) Tj /F1 10 Tf ( looped forever on negative exponents. ) Tj /F5 10 Tf (cl-loop) Tj /F1 10 Tf ('s look-ahead termination stages step) Tj T* 0 Tw .133432 Tw (values before checking the terminate predicate, so a ) Tj /F5 10 Tf (for) Tj ( ) Tj (i) Tj ( ) Tj (from) Tj ( ) Tj (N) Tj ( ) Tj (downto) Tj ( ) Tj (0) Tj /F1 10 Tf ( clause ends up evaluating) Tj T* 0 Tw .469387 Tw /F5 10 Tf (\(expt) Tj ( ) Tj (2) Tj ( ) Tj (-1\)) Tj /F1 10 Tf ( on the last step. Fix: guard the negative case, return 0. The step result is discarded anyway) Tj T* 0 Tw (\227 the look-ahead aborts before the value is used.) Tj T* ET Q Q q -1 0 0 1 57.02362 297.0236 cm +1 0 0 1 57.02362 579.0236 cm q BT 1 0 0 1 0 38 Tm .405696 Tw 12 TL /F4 10 Tf 0 0 0 rg (asm ``macro_env_head`` not a GC root:) Tj /F1 10 Tf ( under ) Tj /F5 10 Tf (GC_NAIVE) Tj /F1 10 Tf (, a macro-heavy workload \(nested ) Tj /F5 10 Tf (cl-loop``s\)) Tj T* 0 Tw .102362 Tw ( ) Tj (triggered) Tj ( ) Tj (a) Tj ( ) Tj (collection) Tj ( ) Tj (that) Tj ( ) Tj (reclaimed) Tj ( ) Tj (every) Tj ( ) Tj (macro-table) Tj ( ) Tj (node.) Tj ( ) Tj (Next) Tj ( ) Tj (macro) Tj ( ) Tj (use) Tj ( ) Tj (fa) Tj T* 0 Tw .102362 Tw (iled) Tj ( ) Tj (with) Tj ( ) Tj ("unbound) Tj ( ) Tj (variable:) Tj ( ) Tj (cl-when".) Tj ( ) Tj (Fix:) Tj ( ) Tj (mark) Tj ( ) Tj (the) Tj ( ) Tj (table) Tj ( ) Tj (alongside) Tj ( ) Tj (the) Tj ( ) Tj (global) Tj ( ) Tj T* 0 Tw (env) Tj ( ) Tj (using) Tj ( ) Tj (the) Tj ( ) Tj (existing) Tj ( ) Tj (``gc_mark_env) Tj /F1 10 Tf ( walker, guarded ) Tj /F5 10 Tf (.ifdef) Tj ( ) Tj (CL_FULL) Tj /F1 10 Tf (.) Tj T* ET Q Q q -1 0 0 1 57.02362 267.0236 cm +1 0 0 1 57.02362 549.0236 cm q BT 1 0 0 1 0 14 Tm 3.353196 Tw 12 TL /F4 10 Tf 0 0 0 rg (asm prelude missing ``cadar``:) Tj /F1 10 Tf ( ) Tj /F5 10 Tf (cl-loop-finalizer-expr) Tj /F1 10 Tf ( uses it to extract the return value from) Tj T* 0 Tw /F5 10 Tf (\(finally) Tj ( ) Tj (\(return) Tj ( ) Tj (X\)\)) Tj /F1 10 Tf (. Added to the embedded prelude.) Tj T* ET Q Q q -1 0 0 1 57.02362 225.0236 cm +1 0 0 1 57.02362 507.0236 cm q 0 0 0 rg BT 1 0 0 1 0 26 Tm /F1 10 Tf 12 TL .206917 Tw (All five fixes land as separate commits in ticket 0005's follow-up drop. The full test matrix \(Python + C + asm) Tj T* 0 Tw 1.515197 Tw (+ asm-gc + asm-full\) passes 1,400+ assertions across six suites after the fixes; the prior runs had been) Tj T* 0 Tw (silently consuming the first four bugs as tier-specific quirks.) Tj T* ET Q Q q -1 0 0 1 57.02362 87.02362 cm +1 0 0 1 57.02362 369.0236 cm q BT 1 0 0 1 0 122 Tm 5.739793 Tw 12 TL /F3 10 Tf 0 0 0 rg (Tests.) Tj /F1 10 Tf ( ) Tj /F5 10 Tf (tests/cl-compat.lsp) Tj /F1 10 Tf ( \(45 assertions, including ) Tj /F5 10 Tf (multiple-value-bind) Tj /F1 10 Tf ( now that asm) Tj T* 0 Tw .956835 Tw (implements ) Tj /F5 10 Tf (values) Tj /F1 10 Tf ( / ) Tj /F5 10 Tf (call-with-values) Tj /F1 10 Tf (\), ) Tj /F5 10 Tf (tests/ursa.lsp) Tj /F1 10 Tf ( \(28 assertions covering both the Scheme) Tj T* 0 Tw 1.234168 Tw (port and the CL path in sequence\), and ) Tj /F5 10 Tf (tests/ursa-scheme.lsp) Tj /F1 10 Tf ( \(15 assertions \227 Scheme port only,) Tj T* 0 Tw 1.213647 Tw (runs on the minimal asm tier with no macros needed\) run across Python, C, and ) Tj /F5 10 Tf (asm/lumbda-full) Tj /F1 10 Tf ( via) Tj T* 0 Tw 10.84806 Tw /F5 10 Tf (tests/zoe-favorites-test.sh) Tj /F1 10 Tf ( \() Tj /F5 10 Tf (make) Tj ( ) Tj (zoe-favorites-test) Tj /F1 10 Tf (\). A network-live proof \227) Tj T* 0 Tw 39.99709 Tw /F5 10 Tf (tests/prove-ursa-runs.sh) Tj /F1 10 Tf ( \() Tj /F5 10 Tf (make) Tj ( ) Tj (prove-ursa-runs) Tj /F1 10 Tf (\) \227 fetches) Tj T* 0 Tw 3.172038 Tw /F5 10 Tf (wedgewack.org/ursa.lisp.txt) Tj /F1 10 Tf ( fresh every run, applies only the four documented character-level) Tj T* 0 Tw 8.447594 Tw (substitutions \() Tj /F5 10 Tf (\(loop) Tj ( ) Tj /F6 10 Tf 12 TL (\256) Tj /F5 10 Tf 12 TL ( ) Tj (\(cl-loop) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (\(when) Tj ( ) Tj /F6 10 Tf 12 TL (\256) Tj /F5 10 Tf 12 TL ( ) Tj (\(cl-when) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (\(random) Tj ( ) Tj /F6 10 Tf 12 TL (\256) Tj /F5 10 Tf 12 TL ( ) Tj (\(random-int) Tj /F1 10 Tf (,) Tj T* 0 Tw 9.614261 Tw /F5 10 Tf (&) Tj (key) Tj ( ) Tj /F6 10 Tf 12 TL (\256) Tj /F5 10 Tf 12 TL ( ) Tj (&) Tj (optional) Tj /F1 10 Tf (\), verifies ) Tj /F5 10 Tf (examples/ursa.lisp.txt) Tj /F1 10 Tf ( differs from that exactly by) Tj T* 0 Tw 2.849873 Tw /F5 10 Tf ({rho,) Tj ( ) Tj (factor,) Tj ( ) Tj (digits}) Tj /F1 10 Tf (, and spot-checks seven of Zo\353's defuns producing the right answers on) Tj T* 0 Tw /F5 10 Tf (asm/lumbda-full) Tj /F1 10 Tf ( with a 10-line stubs prelude for the CL features lumbda deliberately does not shim.) Tj T* ET Q Q - -endstream -endobj -174 0 obj -<< -/Length 5285 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 729.0236 cm +1 0 0 1 57.02362 327.0236 cm q BT 1 0 0 1 0 26 Tm .141492 Tw 12 TL /F1 10 Tf 0 0 0 rg (A process, once alive, should be allowed to stay alive. The iterative style that keeps a CL image alive across) Tj T* 0 Tw -0.124478 Tw (decades is not an obstacle to Scheme's guarantees \227 after macroexpansion, it ) Tj /F4 10 Tf (is) Tj /F1 10 Tf ( Scheme, it ) Tj /F4 10 Tf (is) Tj /F1 10 Tf ( tail-recursive,) Tj T* 0 Tw (and it ) Tj /F4 10 Tf (does) Tj /F1 10 Tf ( portal-save the same way as everything else in this paper.) Tj T* ET Q Q q -1 0 0 1 57.02362 689.8236 cm +1 0 0 1 57.02362 287.8236 cm q BT 1 0 0 1 0 3.2 Tm 117.2782 0 Td 19.2 TL /F2 16 Tf .133333 .133333 .133333 rg (10. Relationship to Companion Papers) Tj T* -117.2782 0 Td ET Q Q q -1 0 0 1 57.02362 671.8236 cm +1 0 0 1 57.02362 269.8236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (Lumbda forms one piece of a larger permacomputer machine learning stack:) Tj T* ET Q Q q -1 0 0 1 57.02362 665.8236 cm +1 0 0 1 57.02362 263.8236 cm Q q -1 0 0 1 57.02362 527.8236 cm +1 0 0 1 57.02362 125.8236 cm q 1 1 1 rg n 0 138 481.2283 -18 re f* @@ -9504,25 +9266,34 @@ Q Q Q q -1 0 0 1 57.02362 527.8236 cm +1 0 0 1 57.02362 125.8236 cm Q q -1 0 0 1 57.02362 473.8236 cm +1 0 0 1 57.02362 71.82362 cm q BT 1 0 0 1 0 38 Tm 1.738453 Tw 12 TL /F1 10 Tf 0 0 0 rg (Lumbda provides the runtime layer: a language that can checkpoint its own execution, migrate between) Tj T* 0 Tw 3.051529 Tw (machines, & resume from serialized state. The portal system enables distributed computation across) Tj T* 0 Tw 1.058196 Tw (permacomputer nodes. Categorization & feedback activities could run inside Lumbda's VM, with ) Tj /F5 10 Tf (call/cc) Tj /F1 10 Tf T* 0 Tw (providing the state machine transitions & portal providing persistence.) Tj T* ET Q Q + +endstream +endobj +177 0 obj +<< +/Length 2332 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 434.6236 cm +1 0 0 1 57.02362 745.8236 cm q BT 1 0 0 1 0 3.2 Tm 91.52617 0 Td 19.2 TL /F2 16 Tf .133333 .133333 .133333 rg (11. Four Implementation Tiers, One Language) Tj T* -91.52617 0 Td ET Q Q q -1 0 0 1 57.02362 422.6236 cm +1 0 0 1 57.02362 733.8236 cm Q q -1 0 0 1 57.02362 410.6236 cm +1 0 0 1 57.02362 721.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -9538,28 +9309,19 @@ Q Q Q q -1 0 0 1 57.02362 410.6236 cm +1 0 0 1 57.02362 721.8236 cm Q q -1 0 0 1 57.02362 332.6236 cm +1 0 0 1 57.02362 643.8236 cm q BT 1 0 0 1 0 62 Tm .778726 Tw 12 TL /F1 10 Tf 0 0 0 rg (Lumbda ships as four independently built tiers: a Python bytecode VM, a C tree-walker, a C bytecode VM,) Tj T* 0 Tw 2.18402 Tw (and a C x86_64 JIT \(the last three packaged in one binary, selectable by flag\), plus a pure-assembly) Tj T* 0 Tw .931492 Tw (interpreter. Each tier is MOAD-isolated from the others \227 a defect surfaced in one is fixed in that tier, not) Tj T* 0 Tw 2.098556 Tw (patched across shared infrastructure. All four run the same ) Tj /F5 10 Tf (.lsp) Tj /F1 10 Tf ( source files and exchange the same) Tj T* 0 Tw 2.266213 Tw (S-expression portal format; \24711.3-\24711.5 demonstrate this end-to-end across sockets, relays, and HTTP) Tj T* 0 Tw (portal transfers.) Tj T* ET Q Q q -1 0 0 1 57.02362 324.6236 cm +1 0 0 1 57.02362 635.8236 cm Q - -endstream -endobj -175 0 obj -<< -/Length 1782 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 263.1875 cm +1 0 0 1 57.02362 133.9875 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -9582,13 +9344,22 @@ Q Q Q q -1 0 0 1 57.02362 255.1875 cm +1 0 0 1 57.02362 125.9875 cm Q q -1 0 0 1 57.02362 247.1875 cm +1 0 0 1 57.02362 117.9875 cm Q + +endstream +endobj +178 0 obj +<< +/Length 12124 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 111.9891 cm +1 0 0 1 57.02362 629.8251 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -9611,28 +9382,19 @@ Q Q Q q -1 0 0 1 57.02362 103.9891 cm +1 0 0 1 57.02362 621.8251 cm Q - -endstream -endobj -176 0 obj -<< -/Length 13406 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 729.0236 cm +1 0 0 1 57.02362 579.8251 cm q BT 1 0 0 1 0 26 Tm -0.132261 Tw 12 TL /F1 10 Tf 0 0 0 rg (Lumbda implements R7RS Scheme in three implementations sharing the same ) Tj /F5 10 Tf (.lsp) Tj /F1 10 Tf ( test files. The language) Tj T* 0 Tw .58213 Tw (is Scheme \(a dialect of Lisp, designed 1975\). The project name plays on Common Lisp \227 this is decidedly) Tj T* 0 Tw (uncommon.) Tj T* ET Q Q q -1 0 0 1 57.02362 723.0236 cm +1 0 0 1 57.02362 573.8251 cm Q q -1 0 0 1 57.02362 603.0236 cm +1 0 0 1 57.02362 453.8251 cm q 1 1 1 rg n 0 120 481.2283 -30 re f* @@ -9968,52 +9730,52 @@ Q Q Q q -1 0 0 1 57.02362 603.0236 cm +1 0 0 1 57.02362 453.8251 cm Q q -1 0 0 1 57.02362 573.0236 cm +1 0 0 1 57.02362 423.8251 cm q BT 1 0 0 1 0 14 Tm 1.743453 Tw 12 TL /F1 10 Tf 0 0 0 rg (All C & Python benchmarks measured in-process \(no startup overhead\). Assembly times \(\206\) include full) Tj T* 0 Tw (process lifetime: startup + tokenizer + parser + eval. "\227" = not applicable / interpreted.) Tj T* ET Q Q q -1 0 0 1 57.02362 495.0236 cm +1 0 0 1 57.02362 345.8251 cm q BT 1 0 0 1 0 62 Tm .118138 Tw 12 TL /F3 10 Tf 0 0 0 rg (The JIT runs Scheme faster than CPython runs Python.) Tj /F1 10 Tf ( ) Tj /F5 10 Tf (ack\(3,4\)) Tj /F1 10 Tf ( completes in 0.19 ms \(JIT\) vs 1.3 ms) Tj T* 0 Tw .050491 Tw (\(CPython\) \227 7\327 faster. ) Tj /F5 10 Tf (sum-to\(50000\)) Tj /F1 10 Tf ( completes in 0.55 ms \(JIT\) vs 5.5 ms \(CPython\) \227 10\327 faster. The) Tj T* 0 Tw .368556 Tw (JIT compiles Scheme AST directly to x86_64 machine code via ) Tj /F5 10 Tf (mmap\(PROT_EXEC\)) Tj /F1 10 Tf ( & raw byte emission. It) Tj T* 0 Tw 2.31631 Tw (handles ) Tj /F5 10 Tf (if) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (cond) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (and) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (or) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (let) Tj /F1 10 Tf (, named-let loops \(native ) Tj /F5 10 Tf (jmp) Tj /F1 10 Tf ( \227 zero call overhead\), ) Tj /F5 10 Tf (car) Tj /F1 10 Tf (/) Tj /F5 10 Tf (cdr) Tj /F1 10 Tf (/) Tj /F5 10 Tf (cons) Tj /F1 10 Tf (,) Tj T* 0 Tw .786027 Tw (arithmetic, comparisons, & self-recursive calls. Functions that use ) Tj /F5 10 Tf (call/cc) Tj /F1 10 Tf (, macros, or complex forms fall) Tj T* 0 Tw (back to the interpreter.) Tj T* ET Q Q q -1 0 0 1 57.02362 345.0236 cm +1 0 0 1 57.02362 195.8251 cm q BT 1 0 0 1 0 134 Tm .274168 Tw 12 TL /F3 10 Tf 0 0 0 rg (The assembly implementation proves the language runs on bare metal.) Tj /F1 10 Tf ( 6,645 lines of ) Tj /F3 10 Tf (GNU assembler) Tj T* 0 Tw .321147 Tw (\(GAS, AT) Tj (&) Tj (T syntax\)) Tj /F1 10 Tf (, assembled with ) Tj /F5 10 Tf (as) Tj /F1 10 Tf ( and linked with ) Tj /F5 10 Tf (ld) Tj /F1 10 Tf ( from GNU binutils; ~22 KB stripped bump-only) Tj T* 0 Tw .295257 Tw (binary, ~25 KB stripped under the optional ) Tj /F5 10 Tf (GC_NAIVE) Tj /F1 10 Tf ( assemble flag. Zero external dependencies. Fourteen) Tj T* 0 Tw 1.588196 Tw (Linux syscalls \() Tj /F5 10 Tf (read) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (write) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (open) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (close) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (lseek) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (mmap) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (munmap) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (socket) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (connect) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (accept) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (bind) Tj /F1 10 Tf (,) Tj T* 0 Tw 12.76076 Tw /F5 10 Tf (listen) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (clock_gettime) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (exit) Tj /F1 10 Tf (\) \227 no libc, no stdlib. A bump allocator with) Tj T* 0 Tw 1.343543 Tw /F5 10 Tf (heap-snapshot) Tj /F1 10 Tf (/) Tj /F5 10 Tf (heap-restore) Tj /F1 10 Tf ( arena primitives, tag-in-low-3-bits values, ) Tj /F3 10 Tf (95+ builtins) Tj /F1 10 Tf ( \(including ) Tj /F5 10 Tf (load) Tj /F1 10 Tf (,) Tj T* 0 Tw 1.562038 Tw (ports, ) Tj /F5 10 Tf (write-file) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (file-) Tj (>) Tj (string) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (portal-save) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (portal-resume) Tj /F1 10 Tf (, the six ) Tj /F5 10 Tf (tcp-*) Tj /F1 10 Tf ( socket primitives,) Tj T* 0 Tw 7.344724 Tw /F5 10 Tf (read-from-string) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (eval) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (symbol-) Tj (>) Tj (string) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (current-time-ms) Tj /F1 10 Tf (, native ) Tj /F5 10 Tf (hash-table-*) Tj /F1 10 Tf ( and) Tj T* 0 Tw .773223 Tw /F5 10 Tf (hash-set-*) Tj /F1 10 Tf (, plus ) Tj /F5 10 Tf (with-arena) Tj /F1 10 Tf ( / ) Tj /F5 10 Tf (gc-collect) Tj /F1 10 Tf ( / ) Tj /F5 10 Tf (gc-stats) Tj /F1 10 Tf ( / ) Tj /F5 10 Tf (arena-stats) Tj /F1 10 Tf ( in the GC build\), & TCO via) Tj T* 0 Tw 1.293071 Tw /F5 10 Tf (jmp) Tj /F1 10 Tf (. It runs ) Tj /F5 10 Tf (\(ack) Tj ( ) Tj (3) Tj ( ) Tj (4\)) Tj ( ) Tj (=) Tj ( ) Tj (125) Tj /F1 10 Tf ( & ) Tj /F5 10 Tf (\(fib) Tj ( ) Tj (35\)) Tj ( ) Tj (=) Tj ( ) Tj (9227465) Tj /F1 10 Tf ( correctly, serves HTTP at ) Tj /F3 10 Tf (2,994 req/s) Tj /F1 10 Tf (, and) Tj T* 0 Tw 1.62589 Tw (survives indefinitely with flat O\(1\) memory via either the snapshot/restore arena in a per-request loop ) Tj /F4 10 Tf (or) Tj /F1 10 Tf T* 0 Tw /F5 10 Tf (\(with-arena) Tj ( ) Tj (thunk\)) Tj /F1 10 Tf ( under the collecting build \(see \2476.6\).) Tj T* ET Q Q q -1 0 0 1 57.02362 291.0236 cm +1 0 0 1 57.02362 141.8251 cm q BT 1 0 0 1 0 38 Tm 2.546213 Tw 12 TL /F3 10 Tf 0 0 0 rg (The bytecode VM delivers 7--19\327 speedup over tree-walking.) Tj /F1 10 Tf ( The Python implementation compiles) Tj T* 0 Tw .411147 Tw (Scheme to 40 opcodes \(plus 20 specialized & 5 superinstructions\), executed on an explicit frame stack with) Tj T* 0 Tw 1.206213 Tw (inline caching, constant folding, & peephole optimization. Full first-class continuations \(multi-shot, upward\)) Tj T* 0 Tw (enable generators, coroutines, & machine state migration via portal.) Tj T* ET Q Q q -1 0 0 1 57.02362 259.8236 cm +1 0 0 1 57.02362 110.6251 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (11.1 Test Coverage) Tj T* ET Q Q q -1 0 0 1 57.02362 239.8236 cm +1 0 0 1 57.02362 90.62514 cm q BT 1 0 0 1 0 2 Tm 12 TL /F3 10 Tf 0 0 0 rg (980 verified assertions) Tj /F1 10 Tf ( across all implementations, all green under ) Tj /F5 10 Tf (make) Tj ( ) Tj (test-all) Tj /F1 10 Tf (:) Tj T* ET Q Q q -1 0 0 1 57.02362 233.8236 cm +1 0 0 1 57.02362 84.62514 cm Q q -1 0 0 1 57.02362 233.8236 cm +1 0 0 1 57.02362 84.62514 cm Q q -1 0 0 1 57.02362 221.8236 cm +1 0 0 1 57.02362 72.62514 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -10035,10 +9797,19 @@ Q Q Q q -1 0 0 1 57.02362 215.8236 cm +1 0 0 1 57.02362 66.62514 cm Q + +endstream +endobj +179 0 obj +<< +/Length 15631 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 203.8236 cm +1 0 0 1 57.02362 753.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -10060,10 +9831,10 @@ Q Q Q q -1 0 0 1 57.02362 197.8236 cm +1 0 0 1 57.02362 747.0236 cm Q q -1 0 0 1 57.02362 173.8236 cm +1 0 0 1 57.02362 723.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -10085,10 +9856,10 @@ Q Q Q q -1 0 0 1 57.02362 167.8236 cm +1 0 0 1 57.02362 717.0236 cm Q q -1 0 0 1 57.02362 155.8236 cm +1 0 0 1 57.02362 705.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -10110,47 +9881,38 @@ Q Q Q q -1 0 0 1 57.02362 137.8236 cm +1 0 0 1 57.02362 687.0236 cm Q q -1 0 0 1 57.02362 95.82362 cm +1 0 0 1 57.02362 645.0236 cm q BT 1 0 0 1 0 26 Tm .98631 Tw 12 TL /F1 10 Tf 0 0 0 rg (The shared functional suite matters: it runs byte-identical Scheme source through two different runtimes &) Tj T* 0 Tw .353432 Tw (compares output. Python & C agree 189 times per run. When they disagree, that tells us something specific) Tj T* 0 Tw (& actionable.) Tj T* ET Q Q q -1 0 0 1 57.02362 65.82362 cm +1 0 0 1 57.02362 615.0236 cm q BT 1 0 0 1 0 14 Tm 3.001043 Tw 12 TL /F1 10 Tf 0 0 0 rg (Cross-implementation portal exchange is verified separately: ) Tj /F5 10 Tf (tests/portal-cross-test.sh) Tj /F1 10 Tf ( runs 9) Tj T* 0 Tw (producer\327consumer combinations. All 9 green.) Tj T* ET Q Q - -endstream -endobj -177 0 obj -<< -/Length 16147 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 751.8236 cm +1 0 0 1 57.02362 583.8236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (11.2 File I/O Parity) Tj T* ET Q Q q -1 0 0 1 57.02362 719.8236 cm +1 0 0 1 57.02362 551.8236 cm q 0 0 0 rg BT 1 0 0 1 0 14 Tm /F1 10 Tf 12 TL .155596 Tw (All three implementations share the same minimal file I/O vocabulary \227 discovered necessary while building) Tj T* 0 Tw (the cross-impl portal:) Tj T* ET Q Q q -1 0 0 1 57.02362 713.8236 cm +1 0 0 1 57.02362 545.8236 cm Q q -1 0 0 1 57.02362 533.8236 cm +1 0 0 1 57.02362 365.8236 cm q 1 1 1 rg n 0 180 481.2283 -18 re f* @@ -10228,21 +9990,21 @@ q 1 0 0 1 285.7839 147 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 352.9321 147 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 420.0802 147 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q @@ -10262,21 +10024,21 @@ q 1 0 0 1 285.7839 129 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 352.9321 129 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 420.0802 129 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q @@ -10296,21 +10058,21 @@ q 1 0 0 1 285.7839 111 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 352.9321 111 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 420.0802 111 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q @@ -10330,21 +10092,21 @@ q 1 0 0 1 285.7839 93 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 352.9321 93 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 420.0802 93 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q @@ -10364,21 +10126,21 @@ q 1 0 0 1 285.7839 75 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 352.9321 75 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 420.0802 75 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q @@ -10398,21 +10160,21 @@ q 1 0 0 1 285.7839 57 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 352.9321 57 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 420.0802 57 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q @@ -10432,21 +10194,21 @@ q 1 0 0 1 285.7839 39 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 352.9321 39 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 420.0802 39 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q @@ -10466,21 +10228,21 @@ q 1 0 0 1 285.7839 21 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 352.9321 21 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 420.0802 21 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q @@ -10500,21 +10262,21 @@ q 1 0 0 1 285.7839 3 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 352.9321 3 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 420.0802 3 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q @@ -10543,32 +10305,32 @@ Q Q Q q -1 0 0 1 57.02362 533.8236 cm +1 0 0 1 57.02362 365.8236 cm Q q -1 0 0 1 57.02362 467.8236 cm +1 0 0 1 57.02362 299.8236 cm q BT 1 0 0 1 0 50 Tm .254609 Tw 12 TL /F1 10 Tf 0 0 0 rg (The asm port representation deserves a note. Because all three tag bits are consumed by the existing value) Tj T* 0 Tw 4.102038 Tw (types \(int/pair/sym/closure/builtin/special/string/vector\), we encode ports as ) Tj /F5 10 Tf (SPECIAL) Tj /F1 10 Tf ( values ) Tj /F6 10 Tf 12 TL (\263) Tj /F1 10 Tf 12 TL ( 1000:) Tj T* 0 Tw 8.520835 Tw /F5 10 Tf (port_val) Tj ( ) Tj (=) Tj ( ) Tj (\(\(PORT_SPECIAL_BASE) Tj ( ) Tj (+) Tj ( ) Tj (fd\)) Tj ( ) Tj (<) Tj (<) Tj ( ) Tj (3\)) Tj ( ) Tj (|) Tj ( ) Tj (TAG_SPECIAL) Tj /F1 10 Tf (. Extraction is) Tj T* 0 Tw .162256 Tw /F5 10 Tf (fd) Tj ( ) Tj (=) Tj ( ) Tj (\(val) Tj ( ) Tj (>) Tj (>) Tj ( ) Tj (3\)) Tj ( ) Tj (-) Tj ( ) Tj (PORT_SPECIAL_BASE) Tj /F1 10 Tf (. ) Tj /F5 10 Tf (port?) Tj /F1 10 Tf ( is a range check. No tag expansion, no heap object,) Tj T* 0 Tw (no allocator pressure \227 the port is the file descriptor, wrapped.) Tj T* ET Q Q q -1 0 0 1 57.02362 436.6236 cm +1 0 0 1 57.02362 268.6236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (11.3 Sockets: One HTTP Server, Three Runtimes) Tj T* ET Q Q q -1 0 0 1 57.02362 416.6236 cm +1 0 0 1 57.02362 248.6236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (Six primitives extend the file-I/O vocabulary to TCP:) Tj T* ET Q Q q -1 0 0 1 57.02362 410.6236 cm +1 0 0 1 57.02362 242.6236 cm Q q -1 0 0 1 57.02362 272.6236 cm +1 0 0 1 57.02362 104.6236 cm q 1 1 1 rg n 0 138 481.2283 -18 re f* @@ -10640,21 +10402,21 @@ q 1 0 0 1 333.6448 105 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 384.8393 105 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 436.0338 105 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q @@ -10674,21 +10436,21 @@ q 1 0 0 1 333.6448 87 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 384.8393 87 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 436.0338 87 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q @@ -10708,21 +10470,21 @@ q 1 0 0 1 333.6448 57 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 384.8393 57 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 436.0338 57 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q @@ -10742,21 +10504,21 @@ q 1 0 0 1 333.6448 39 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 384.8393 39 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 436.0338 39 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q @@ -10776,21 +10538,21 @@ q 1 0 0 1 333.6448 21 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 384.8393 21 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 436.0338 21 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q @@ -10810,21 +10572,21 @@ q 1 0 0 1 333.6448 3 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 384.8393 3 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q 1 0 0 1 436.0338 3 cm q 0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F9 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F8 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET Q Q q @@ -10850,22 +10612,31 @@ Q Q Q q -1 0 0 1 57.02362 272.6236 cm +1 0 0 1 57.02362 104.6236 cm Q + +endstream +endobj +180 0 obj +<< +/Length 9225 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 230.6236 cm +1 0 0 1 57.02362 729.0236 cm q BT 1 0 0 1 0 26 Tm .215176 Tw 12 TL /F1 10 Tf 0 0 0 rg (Sockets share the same port representation as files \227 in asm the fd is packed into ) Tj /F5 10 Tf (SPECIAL) Tj /F1 10 Tf ( values ) Tj /F6 10 Tf 12 TL (\263) Tj /F1 10 Tf 12 TL ( 1000,) Tj T* 0 Tw .794123 Tw (in Python + C the fd lives inside an existing ULPort struct. ) Tj /F5 10 Tf (read) Tj /F1 10 Tf (/) Tj /F5 10 Tf (write) Tj /F1 10 Tf ( unify because to Linux a socket is) Tj T* 0 Tw (just an fd.) Tj T* ET Q Q q -1 0 0 1 57.02362 200.6236 cm +1 0 0 1 57.02362 699.0236 cm q BT 1 0 0 1 0 14 Tm .886796 Tw 12 TL /F5 10 Tf 0 0 0 rg (examples/http-server.lsp) Tj /F1 10 Tf ( is a 90-line HTTP/1.0 server. It parses a request line, dispatches by path,) Tj T* 0 Tw (and returns 200/404 with Content-Length. The same file runs unmodified in all three impls:) Tj T* ET Q Q q -1 0 0 1 57.02362 150.6236 cm +1 0 0 1 57.02362 649.0236 cm q q 1 0 0 1 0 0 cm @@ -10885,76 +10656,50 @@ Q Q Q q -1 0 0 1 57.02362 94.62362 cm +1 0 0 1 57.02362 593.0236 cm q BT 1 0 0 1 0 38 Tm -0.093471 Tw 12 TL /F1 10 Tf 0 0 0 rg (The companion ) Tj /F5 10 Tf (examples/http-client-bench.lsp) Tj /F1 10 Tf ( is a 45-line load generator using only the six ) Tj /F5 10 Tf (tcp-*) Tj /F1 10 Tf T* 0 Tw 2.952577 Tw (primitives plus ) Tj /F5 10 Tf (current-time-ms) Tj /F1 10 Tf (. In-process client eliminates the ~2 ms/request fork overhead that) Tj T* 0 Tw 1.553486 Tw (curl-based benchmarks suffer, so real server throughput shows through. ) Tj /F3 10 Tf (Reproduce:) Tj /F1 10 Tf ( ) Tj /F5 10 Tf (make) Tj ( ) Tj (bench-web) Tj /F1 10 Tf T* 0 Tw (\(source: ) Tj /F5 10 Tf (tests/web-benchmark.sh) Tj /F1 10 Tf (\).) Tj T* ET Q Q q -1 0 0 1 57.02362 88.62362 cm +1 0 0 1 57.02362 587.0236 cm Q q -1 0 0 1 57.02362 70.62362 cm +1 0 0 1 57.02362 497.0236 cm q 1 1 1 rg +n 0 90 481.2283 -18 re f* +.878431 .878431 .878431 rg +n 0 72 481.2283 -18 re f* +1 1 1 rg +n 0 54 481.2283 -18 re f* +.878431 .878431 .878431 rg +n 0 36 481.2283 -18 re f* +1 1 1 rg n 0 18 481.2283 -18 re f* 0 0 0 rg BT /F3 10 Tf 12 TL ET q -1 0 0 1 6 3 cm +1 0 0 1 6 75 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 111.934 0 Td (Pair) Tj T* -111.934 0 Td ET Q Q q -1 0 0 1 260.7679 3 cm +1 0 0 1 260.7679 75 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 18.3801 0 Td (Requests/sec) Tj T* -18.3801 0 Td ET Q Q q -1 0 0 1 373.9981 3 cm +1 0 0 1 373.9981 75 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 18.3801 0 Td (vs curl bench) Tj T* -18.3801 0 Td ET Q Q -q -1 J -1 j -0 0 0 RG -.25 w -n 0 0 m 481.2283 0 l S -n 254.7679 0 m 254.7679 18 l S -n 367.9981 0 m 367.9981 18 l S -n 0 18 m 481.2283 18 l S -n 0 0 m 0 18 l S -n 481.2283 0 m 481.2283 18 l S -Q -Q -Q - -endstream -endobj -178 0 obj -<< -/Length 10543 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET -q -1 0 0 1 57.02362 693.0236 cm -q -1 1 1 rg -n 0 72 481.2283 -18 re f* -.878431 .878431 .878431 rg -n 0 54 481.2283 -18 re f* -1 1 1 rg -n 0 36 481.2283 -18 re f* -.878431 .878431 .878431 rg -n 0 18 481.2283 -18 re f* 0 0 0 rg BT /F1 10 Tf 12 TL ET q @@ -11050,40 +10795,41 @@ n 0 72 m 481.2283 72 l S n 0 54 m 481.2283 54 l S n 0 36 m 481.2283 36 l S n 0 18 m 481.2283 18 l S -n 254.7679 0 m 254.7679 72 l S -n 367.9981 0 m 367.9981 72 l S -n 0 0 m 0 72 l S -n 481.2283 0 m 481.2283 72 l S +n 254.7679 0 m 254.7679 90 l S +n 367.9981 0 m 367.9981 90 l S +n 0 90 m 481.2283 90 l S n 0 0 m 481.2283 0 l S +n 0 0 m 0 90 l S +n 481.2283 0 m 481.2283 90 l S Q Q Q q -1 0 0 1 57.02362 693.0236 cm +1 0 0 1 57.02362 497.0236 cm Q q -1 0 0 1 57.02362 663.0236 cm +1 0 0 1 57.02362 467.0236 cm q BT 1 0 0 1 0 14 Tm .163917 Tw 12 TL /F1 10 Tf 0 0 0 rg (\(The asm-server / asm-client pair is the fastest cell here \227 2,994 req/s from a 22 KB binary, served & driven) Tj T* 0 Tw (by the same 22 KB binary.\)) Tj T* ET Q Q q -1 0 0 1 57.02362 621.0236 cm +1 0 0 1 57.02362 425.0236 cm q BT 1 0 0 1 0 26 Tm .050596 Tw 12 TL /F1 10 Tf 0 0 0 rg (For external comparison: ) Tj /F5 10 Tf (python3) Tj ( ) Tj (-m) Tj ( ) Tj (http.server) Tj /F1 10 Tf ( and busybox httpd both land around 382 req/s under) Tj T* 0 Tw 1.458334 Tw (a curl client on the same machine. When driven by an in-process client they hit the same ceiling as our) Tj T* 0 Tw (servers \227 the bottleneck has always been the client fork/exec, not the server.) Tj T* ET Q Q q -1 0 0 1 57.02362 567.0236 cm +1 0 0 1 57.02362 371.0236 cm q BT 1 0 0 1 0 38 Tm 2.116575 Tw 12 TL /F3 10 Tf 0 0 0 rg (What's remarkable is not the speed.) Tj /F1 10 Tf ( It is that a 22 KB binary with zero libc dependency and seven) Tj T* 0 Tw .829353 Tw (canonical Linux syscalls plus the socket family runs HTTP as fast as anything else on the machine, with a) Tj T* 0 Tw .829272 Tw (protocol handler written in portable Scheme that runs byte-for-byte in all three runtimes. The asm binary is) Tj T* 0 Tw /F3 10 Tf (96\327 smaller than busybox httpd) Tj /F1 10 Tf ( \(2.1 MB\) and ) Tj /F3 10 Tf (360\327 smaller than the Python interpreter) Tj /F1 10 Tf ( alone \(8 MB\).) Tj T* ET Q Q q -1 0 0 1 57.02362 559.0236 cm +1 0 0 1 57.02362 363.0236 cm Q q -1 0 0 1 57.02362 510.6988 cm +1 0 0 1 57.02362 314.6988 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -11106,29 +10852,29 @@ Q Q Q q -1 0 0 1 57.02362 502.6988 cm +1 0 0 1 57.02362 306.6988 cm Q q -1 0 0 1 57.02362 471.4988 cm +1 0 0 1 57.02362 275.4988 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (11.4 S-expressions over Sockets: RPC, REPL, and Chains) Tj T* ET Q Q q -1 0 0 1 57.02362 427.4988 cm +1 0 0 1 57.02362 231.4988 cm q 0 0 0 rg BT 1 0 0 1 0 26 Tm /F1 10 Tf 12 TL .048022 Tw (The HTTP example sends request-line bytes and response-line bytes. Those bytes don't have to be HTTP. If) Tj T* 0 Tw .199913 Tw (both sides of the wire speak Scheme, the wire protocol can be Scheme source itself \227 the reader is already) Tj T* 0 Tw (the parser you need. Two new builtins close the loop in all three impls:) Tj T* ET Q Q q -1 0 0 1 57.02362 421.4988 cm +1 0 0 1 57.02362 225.4988 cm Q q -1 0 0 1 57.02362 421.4988 cm +1 0 0 1 57.02362 225.4988 cm Q q -1 0 0 1 57.02362 409.4988 cm +1 0 0 1 57.02362 213.4988 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -11150,10 +10896,10 @@ Q Q Q q -1 0 0 1 57.02362 403.4988 cm +1 0 0 1 57.02362 207.4988 cm Q q -1 0 0 1 57.02362 379.4988 cm +1 0 0 1 57.02362 183.4988 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -11175,45 +10921,60 @@ Q Q Q q -1 0 0 1 57.02362 361.4988 cm +1 0 0 1 57.02362 165.4988 cm Q q -1 0 0 1 57.02362 343.4988 cm +1 0 0 1 57.02362 147.4988 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (Two server patterns emerge:) Tj T* ET Q Q q -1 0 0 1 57.02362 301.4988 cm +1 0 0 1 57.02362 105.4988 cm q BT 1 0 0 1 0 26 Tm .027362 Tw 12 TL /F3 10 Tf 0 0 0 rg (Whitelisted RPC) Tj /F1 10 Tf ( \() Tj /F5 10 Tf (examples/rpc-server.lsp) Tj /F1 10 Tf (, 90 lines\). The server reads a request sexp, dispatches by) Tj T* 0 Tw 1.114908 Tw (car on a closed set \() Tj /F5 10 Tf (ping) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (add) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (mul) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (fib) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (echo) Tj /F1 10 Tf (\), never calls ) Tj /F5 10 Tf (eval) Tj /F1 10 Tf ( on client input. Safe by construction.) Tj T* 0 Tw (Uses ) Tj /F5 10 Tf (heap-snapshot) Tj /F1 10 Tf (/) Tj /F5 10 Tf (heap-restore) Tj /F1 10 Tf ( for O\(1\) memory on asm.) Tj T* ET Q Q q -1 0 0 1 57.02362 235.4988 cm +1 0 0 1 57.02362 63.49883 cm q -BT 1 0 0 1 0 50 Tm .076027 Tw 12 TL /F3 10 Tf 0 0 0 rg (Full remote REPL) Tj /F1 10 Tf ( \() Tj /F5 10 Tf (examples/repl-server.lsp) Tj /F1 10 Tf (, 70 lines\). The server reads a request sexp and passes) Tj T* 0 Tw .534609 Tw (it straight to ) Tj /F5 10 Tf (eval) Tj /F1 10 Tf (. Persistent global env across connections; ) Tj /F5 10 Tf (\(define) Tj ( ) Tj (x) Tj ( ) Tj (42\)) Tj /F1 10 Tf ( from one call is visible from) Tj T* 0 Tw 1.463453 Tw (the next. DANGER: any reachable client can run arbitrary Scheme in-process. Deliberately does not use) Tj T* 0 Tw .876027 Tw /F5 10 Tf (heap-snapshot) Tj /F1 10 Tf ( because remote ) Tj /F5 10 Tf (define) Tj /F1 10 Tf ( adds bindings past any snapshot point; the ) Tj /F5 10 Tf (ulimit) Tj ( ) Tj (-v) Tj /F1 10 Tf ( safety) Tj T* 0 Tw (cap \(512 MB\) backstops the leak.) Tj T* ET +BT 1 0 0 1 0 26 Tm .076027 Tw 12 TL /F3 10 Tf 0 0 0 rg (Full remote REPL) Tj /F1 10 Tf ( \() Tj /F5 10 Tf (examples/repl-server.lsp) Tj /F1 10 Tf (, 70 lines\). The server reads a request sexp and passes) Tj T* 0 Tw .534609 Tw (it straight to ) Tj /F5 10 Tf (eval) Tj /F1 10 Tf (. Persistent global env across connections; ) Tj /F5 10 Tf (\(define) Tj ( ) Tj (x) Tj ( ) Tj (42\)) Tj /F1 10 Tf ( from one call is visible from) Tj T* 0 Tw 1.463453 Tw (the next. DANGER: any reachable client can run arbitrary Scheme in-process. Deliberately does not use) Tj T* 0 Tw ET +Q +Q + +endstream +endobj +181 0 obj +<< +/Length 8437 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET +q +1 0 0 1 57.02362 741.0236 cm +q +BT 1 0 0 1 0 14 Tm .876027 Tw 12 TL /F5 10 Tf 0 0 0 rg (heap-snapshot) Tj /F1 10 Tf ( because remote ) Tj /F5 10 Tf (define) Tj /F1 10 Tf ( adds bindings past any snapshot point; the ) Tj /F5 10 Tf (ulimit) Tj ( ) Tj (-v) Tj /F1 10 Tf ( safety) Tj T* 0 Tw (cap \(512 MB\) backstops the leak.) Tj T* ET Q Q q -1 0 0 1 57.02362 205.4988 cm +1 0 0 1 57.02362 711.0236 cm q 0 0 0 rg BT 1 0 0 1 0 14 Tm /F1 10 Tf 12 TL .909903 Tw (Both patterns run byte-identically in Python, C, and asm. The 3\3273 server\327client matrix is 9/9 green \227 any) Tj T* 0 Tw (runtime can host either side.) Tj T* ET Q Q q -1 0 0 1 57.02362 163.4988 cm +1 0 0 1 57.02362 669.0236 cm q BT 1 0 0 1 0 26 Tm 1.432577 Tw 12 TL /F3 10 Tf 0 0 0 rg (Chains: relays across runtimes.) Tj /F1 10 Tf ( A transparent relay \() Tj /F5 10 Tf (examples/rpc-relay.lsp) Tj /F1 10 Tf (, 50 lines\) accepts a) Tj T* 0 Tw 1.39989 Tw (connection, forwards the request bytes to a backend without parsing, relays the reply back. Because the) Tj T* 0 Tw (envelope is Scheme source and the relay never opens it, chains of arbitrary runtimes compose naturally:) Tj T* ET Q Q q -1 0 0 1 57.02362 157.4988 cm +1 0 0 1 57.02362 663.0236 cm Q q -1 0 0 1 57.02362 67.49883 cm +1 0 0 1 57.02362 573.0236 cm q 1 1 1 rg n 0 90 481.2283 -18 re f* @@ -11353,57 +11114,48 @@ Q Q Q q -1 0 0 1 57.02362 67.49883 cm +1 0 0 1 57.02362 573.0236 cm Q - -endstream -endobj -179 0 obj -<< -/Length 7017 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 705.0236 cm +1 0 0 1 57.02362 507.0236 cm q BT 1 0 0 1 0 50 Tm 1.815464 Tw 12 TL /F1 10 Tf 0 0 0 rg (Each relay hop costs ~650 \265s \(one full TCP round-trip + context switches on the same host, no actual) Tj T* 0 Tw 5.709882 Tw (parsing work\). The relay never allocates anything beyond a transient buffer; on asm it uses) Tj T* 0 Tw 1.25985 Tw /F5 10 Tf (heap-snapshot) Tj /F1 10 Tf (/) Tj /F5 10 Tf (heap-restore) Tj /F1 10 Tf ( to keep memory flat under load. Four runtimes strung together through) Tj T* 0 Tw 3.232362 Tw (two relay machines, the same ) Tj /F5 10 Tf (.lsp) Tj /F1 10 Tf ( on every hop. ) Tj /F3 10 Tf (Reproduce:) Tj /F1 10 Tf ( ) Tj /F5 10 Tf (make) Tj ( ) Tj (bench-rpc-chain) Tj /F1 10 Tf ( \(source:) Tj T* 0 Tw /F5 10 Tf (tests/rpc-chain-bench.sh) Tj /F1 10 Tf (\).) Tj T* ET Q Q q -1 0 0 1 57.02362 663.0236 cm +1 0 0 1 57.02362 465.0236 cm q 0 0 0 rg BT 1 0 0 1 0 26 Tm /F1 10 Tf 12 TL .921575 Tw (The result is not a performance story \227 it is a composition story. S-expressions are the envelope and the) Tj T* 0 Tw .649925 Tw (payload. A 22 KB binary can be a backend, a relay, a client, or any point in a chain; the protocol needs no) Tj T* 0 Tw (separate definition because the protocol IS the language.) Tj T* ET Q Q q -1 0 0 1 57.02362 631.8236 cm +1 0 0 1 57.02362 433.8236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (11.5 Portal over HTTP: State Transfer Between Machines) Tj T* ET Q Q q -1 0 0 1 57.02362 587.8236 cm +1 0 0 1 57.02362 389.8236 cm q 0 0 0 rg BT 1 0 0 1 0 26 Tm /F1 10 Tf 12 TL .273647 Tw (The HTTP server carries request bytes. The portal serializes machine state to bytes. Combine them: a node) Tj T* 0 Tw .711667 Tw (exposes its state as an HTTP endpoint, another node pulls that endpoint down and resumes. This was the) Tj T* 0 Tw (first item in \24713 Future Work \227 it is now a running demo.) Tj T* ET Q Q q -1 0 0 1 57.02362 545.8236 cm +1 0 0 1 57.02362 347.8236 cm q BT 1 0 0 1 0 26 Tm .363486 Tw 12 TL /F5 10 Tf 0 0 0 rg (examples/portal-http-server.lsp) Tj /F1 10 Tf ( holds some state \(integer counter, list, string, the result of fib\(30\)\)) Tj T* 0 Tw 1.391223 Tw (and answers ) Tj /F5 10 Tf (GET) Tj ( ) Tj (/portal) Tj /F1 10 Tf ( with an S-expression portal body \227 literally a sequence of ) Tj /F5 10 Tf (\(define) Tj ( ) Tj (...\)) Tj /F1 10 Tf T* 0 Tw (forms.) Tj T* ET Q Q q -1 0 0 1 57.02362 503.8236 cm +1 0 0 1 57.02362 305.8236 cm q BT 1 0 0 1 0 26 Tm 1.574395 Tw 12 TL /F5 10 Tf 0 0 0 rg (examples/portal-http-client.lsp) Tj /F1 10 Tf ( dials the endpoint, strips the HTTP headers, splits the body by) Tj T* 0 Tw 2.070759 Tw (newline, and for each non-empty, non-comment line calls ) Tj /F5 10 Tf (\(eval) Tj ( ) Tj (\(read-from-string) Tj ( ) Tj (line\)\)) Tj /F1 10 Tf (. The) Tj T* 0 Tw (remote bindings become local.) Tj T* ET Q Q q -1 0 0 1 57.02362 367.4236 cm +1 0 0 1 57.02362 169.4236 cm q q 1 0 0 1 0 0 cm @@ -11423,32 +11175,47 @@ Q Q Q q -1 0 0 1 57.02362 311.4236 cm +1 0 0 1 57.02362 113.4236 cm q BT 1 0 0 1 0 38 Tm .351019 Tw 12 TL /F3 10 Tf 0 0 0 rg (3\3273 matrix green:) Tj /F1 10 Tf ( Python/C/asm in any role \227 server or client or both \227 exchange state correctly. All nine) Tj T* 0 Tw 2.399835 Tw (combinations verified. ) Tj /F5 10 Tf (examples/portal-http-client.lsp) Tj /F1 10 Tf ( is 90 lines of portable Scheme; the full) Tj T* 0 Tw 3.611529 Tw (round-trip uses only the six ) Tj /F5 10 Tf (tcp-*) Tj /F1 10 Tf ( primitives plus ) Tj /F5 10 Tf (read-from-string) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (eval) Tj /F1 10 Tf (, and standard string) Tj T* 0 Tw (manipulation.) Tj T* ET Q Q q -1 0 0 1 57.02362 257.4236 cm +1 0 0 1 57.02362 83.42362 cm q -BT 1 0 0 1 0 38 Tm 1.468556 Tw 12 TL /F1 10 Tf 0 0 0 rg (The client needs ) Tj /F5 10 Tf (eval) Tj /F1 10 Tf ( semantics that install define-bindings in the global env regardless of the dynamic) Tj T* 0 Tw .000439 Tw (scope of the ) Tj /F5 10 Tf (eval) Tj /F1 10 Tf ( call. Python and C originally evaluated the ) Tj /F5 10 Tf (eval) Tj /F1 10 Tf ( result in the caller's env, which worked at) Tj T* 0 Tw .282545 Tw (top level but silently failed inside a helper function. A two-line fix in each \() Tj /F5 10 Tf (env) Tj ( ) Tj (=) Tj ( ) Tj (env.g) Tj /F1 10 Tf ( in Python's ) Tj /F5 10 Tf (leval) Tj /F1 10 Tf (,) Tj T* 0 Tw /F5 10 Tf (env) Tj ( ) Tj (=) Tj ( ) Tj (env-) Tj (>) Tj (global) Tj /F1 10 Tf ( in C's SYM_EVAL branch\) aligns both with asm's long-standing ) Tj /F5 10 Tf (bi_eval) Tj /F1 10 Tf ( behavior.) Tj T* ET +BT 1 0 0 1 0 14 Tm 1.468556 Tw 12 TL /F1 10 Tf 0 0 0 rg (The client needs ) Tj /F5 10 Tf (eval) Tj /F1 10 Tf ( semantics that install define-bindings in the global env regardless of the dynamic) Tj T* 0 Tw .000439 Tw (scope of the ) Tj /F5 10 Tf (eval) Tj /F1 10 Tf ( call. Python and C originally evaluated the ) Tj /F5 10 Tf (eval) Tj /F1 10 Tf ( result in the caller's env, which worked at) Tj T* 0 Tw ET +Q +Q + +endstream +endobj +182 0 obj +<< +/Length 7384 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET +q +1 0 0 1 57.02362 741.0236 cm +q +BT 1 0 0 1 0 14 Tm .282545 Tw 12 TL /F1 10 Tf 0 0 0 rg (top level but silently failed inside a helper function. A two-line fix in each \() Tj /F5 10 Tf (env) Tj ( ) Tj (=) Tj ( ) Tj (env.g) Tj /F1 10 Tf ( in Python's ) Tj /F5 10 Tf (leval) Tj /F1 10 Tf (,) Tj T* 0 Tw /F5 10 Tf (env) Tj ( ) Tj (=) Tj ( ) Tj (env-) Tj (>) Tj (global) Tj /F1 10 Tf ( in C's SYM_EVAL branch\) aligns both with asm's long-standing ) Tj /F5 10 Tf (bi_eval) Tj /F1 10 Tf ( behavior.) Tj T* ET Q Q q -1 0 0 1 57.02362 227.4236 cm +1 0 0 1 57.02362 711.0236 cm q 0 0 0 rg BT 1 0 0 1 0 14 Tm /F1 10 Tf 12 TL 3.231772 Tw (This is the closing demonstration of "feedback is all you need" extended across all four scopes. A) Tj T* 0 Tw (continuation-style value \227 here, a set of bindings \227 travels:) Tj T* ET Q Q q -1 0 0 1 57.02362 221.4236 cm +1 0 0 1 57.02362 705.0236 cm Q q -1 0 0 1 57.02362 221.4236 cm +1 0 0 1 57.02362 705.0236 cm Q q -1 0 0 1 57.02362 209.4236 cm +1 0 0 1 57.02362 693.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -11470,10 +11237,10 @@ Q Q Q q -1 0 0 1 57.02362 203.4236 cm +1 0 0 1 57.02362 687.0236 cm Q q -1 0 0 1 57.02362 191.4236 cm +1 0 0 1 57.02362 675.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -11496,10 +11263,10 @@ Q Q Q q -1 0 0 1 57.02362 185.4236 cm +1 0 0 1 57.02362 669.0236 cm Q q -1 0 0 1 57.02362 173.4236 cm +1 0 0 1 57.02362 657.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -11522,10 +11289,10 @@ Q Q Q q -1 0 0 1 57.02362 167.4236 cm +1 0 0 1 57.02362 651.0236 cm Q q -1 0 0 1 57.02362 155.4236 cm +1 0 0 1 57.02362 639.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -11548,45 +11315,36 @@ Q Q Q q -1 0 0 1 57.02362 137.4236 cm +1 0 0 1 57.02362 621.0236 cm Q q -1 0 0 1 57.02362 107.4236 cm +1 0 0 1 57.02362 591.0236 cm q 0 0 0 rg BT 1 0 0 1 0 14 Tm /F1 10 Tf 12 TL .68135 Tw (The wire protocol and the language are the same artifact. A 22 KB binary can be any node in any chain of) Tj T* 0 Tw (any scope.) Tj T* ET Q Q - -endstream -endobj -180 0 obj -<< -/Length 7833 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 751.8236 cm +1 0 0 1 57.02362 559.8236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (11.6 heap-snapshot: The Arena Escape Hatch) Tj T* ET Q Q q -1 0 0 1 57.02362 707.8236 cm +1 0 0 1 57.02362 515.8236 cm q BT 1 0 0 1 0 26 Tm -0.12705 Tw 12 TL /F1 10 Tf 0 0 0 rg (The asm bump allocator has no GC. Every ) Tj /F5 10 Tf (string-append) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (tcp-recv) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (make-pair) Tj /F1 10 Tf (, or similar per-request) Tj T* 0 Tw 1.173647 Tw (allocation grows r15. Over a long-running server that is an unbounded leak \227 an incident on 2026-04-16) Tj T* 0 Tw (drove an asm server to 19.3 GB RSS before being killed.) Tj T* ET Q Q q -1 0 0 1 57.02362 689.8236 cm +1 0 0 1 57.02362 497.8236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (Two new builtins fix this without introducing a collector:) Tj T* ET Q Q q -1 0 0 1 57.02362 649.4236 cm +1 0 0 1 57.02362 457.4236 cm q q 1 0 0 1 0 0 cm @@ -11606,21 +11364,21 @@ Q Q Q q -1 0 0 1 57.02362 617.4236 cm +1 0 0 1 57.02362 425.4236 cm q 0 0 0 rg BT 1 0 0 1 0 14 Tm /F1 10 Tf 12 TL .828138 Tw (Python + C expose the same names as no-ops \(their real GCs already handle this\). Portable Scheme can) Tj T* 0 Tw (call them unconditionally.) Tj T* ET Q Q q -1 0 0 1 57.02362 599.4236 cm +1 0 0 1 57.02362 407.4236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (The pattern is narrow by design:) Tj T* ET Q Q q -1 0 0 1 57.02362 530.2236 cm +1 0 0 1 57.02362 338.2236 cm q q 1 0 0 1 0 0 cm @@ -11641,39 +11399,39 @@ Q Q Q q -1 0 0 1 57.02362 474.2236 cm +1 0 0 1 57.02362 282.2236 cm q 0 0 0 rg BT 1 0 0 1 0 38 Tm /F1 10 Tf 12 TL .76989 Tw (The snapshot is dangerously precise: anything allocated after the snap and still reachable after the restore) Tj T* 0 Tw -0.00705 Tw (becomes a dangling pointer. The canonical pattern \(HTTP request scope\) allocates per-request and discards) Tj T* 0 Tw 1.660522 Tw (per-request \227 nothing escapes. Measured asm RSS with this pattern: 88 KB initial, 100 KB after 1,100) Tj T* 0 Tw (requests. Flat.) Tj T* ET Q Q q -1 0 0 1 57.02362 432.2236 cm +1 0 0 1 57.02362 240.2236 cm q 0 0 0 rg BT 1 0 0 1 0 26 Tm /F1 10 Tf 12 TL .241019 Tw (This is not a general-purpose allocator. It is an escape hatch the programmer uses when they can prove the) Tj T* 0 Tw 1.593647 Tw (scope boundary. For general programs on asm, the heap still grows. For the HTTP server pattern, O\(1\)) Tj T* 0 Tw (memory costs two lines of code.) Tj T* ET Q Q q -1 0 0 1 57.02362 401.0236 cm +1 0 0 1 57.02362 209.0236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (11.7 Static File Serving: Cache, Sendfile, and Adaptive Preload) Tj T* ET Q Q q -1 0 0 1 57.02362 345.0236 cm +1 0 0 1 57.02362 153.0236 cm q BT 1 0 0 1 0 38 Tm .551223 Tw 12 TL /F1 10 Tf 0 0 0 rg (The HTTP demo in \24711.3 served synthesized responses. To host ) Tj /F5 10 Tf (lumbda.com) Tj /F1 10 Tf ( we needed a real static-file) Tj T* 0 Tw .579908 Tw (path \227 something that hands a 2.67 MiB PDF \(this whitepaper\) off the disk without bouncing it through the) Tj T* 0 Tw 1.830596 Tw (Scheme heap. Three variants now ship in ) Tj /F5 10 Tf (examples/) Tj /F1 10 Tf (, each ~100\226200 lines of portable Scheme, each) Tj T* 0 Tw (running on ) Tj /F5 10 Tf (asm/lumbda-gc) Tj /F1 10 Tf ( \(the GC build, 27 KB stripped\).) Tj T* ET Q Q q -1 0 0 1 57.02362 339.0236 cm +1 0 0 1 57.02362 147.0236 cm Q q -1 0 0 1 57.02362 339.0236 cm +1 0 0 1 57.02362 147.0236 cm Q q -1 0 0 1 57.02362 303.0236 cm +1 0 0 1 57.02362 111.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -11695,24 +11453,49 @@ Q Q Q q -1 0 0 1 57.02362 297.0236 cm +1 0 0 1 57.02362 105.0236 cm Q q -1 0 0 1 57.02362 249.0236 cm +1 0 0 1 57.02362 62.69291 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET q -1 0 0 1 6 33 cm +1 0 0 1 6 27.33071 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F5 10 Tf 12 TL 8 0 Td (\177) Tj T* -8 0 Td ET Q Q q +1 0 0 1 23 15.33071 cm +q +BT 1 0 0 1 0 14 Tm .656027 Tw 12 TL /F5 10 Tf 0 0 0 rg (http-static-server-cached.lsp) Tj /F1 10 Tf ( \227 on startup, build a hash-table keyed by URL path to the full) Tj T* 0 Tw 13.27537 Tw (pre-composed HTTP response \(headers + body\). Per-request handler is one) Tj T* 0 Tw ET +Q +Q +q +Q +Q +Q + +endstream +endobj +183 0 obj +<< +/Length 9050 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET +q +1 0 0 1 57.02362 741.0236 cm +q +0 0 0 rg +BT /F1 10 Tf 12 TL ET +BT 1 0 0 1 6 11 Tm T* ET +q 1 0 0 1 23 -3 cm q -BT 1 0 0 1 0 38 Tm .656027 Tw 12 TL /F5 10 Tf 0 0 0 rg (http-static-server-cached.lsp) Tj /F1 10 Tf ( \227 on startup, build a hash-table keyed by URL path to the full) Tj T* 0 Tw 13.27537 Tw (pre-composed HTTP response \(headers + body\). Per-request handler is one) Tj T* 0 Tw 1.391835 Tw /F5 10 Tf (hash-table-ref/default) Tj /F1 10 Tf (. No ) Tj /F5 10 Tf (file-) Tj (>) Tj (string) Tj /F1 10 Tf (, no ) Tj /F5 10 Tf (string-append) Tj /F1 10 Tf (, no MIME lookup in the hot) Tj T* 0 Tw (path.) Tj T* ET +BT 1 0 0 1 0 14 Tm 1.391835 Tw 12 TL /F5 10 Tf 0 0 0 rg (hash-table-ref/default) Tj /F1 10 Tf (. No ) Tj /F5 10 Tf (file-) Tj (>) Tj (string) Tj /F1 10 Tf (, no ) Tj /F5 10 Tf (string-append) Tj /F1 10 Tf (, no MIME lookup in the hot) Tj T* 0 Tw (path.) Tj T* ET Q Q q @@ -11720,10 +11503,10 @@ Q Q Q q -1 0 0 1 57.02362 243.0236 cm +1 0 0 1 57.02362 735.0236 cm Q q -1 0 0 1 57.02362 195.0236 cm +1 0 0 1 57.02362 687.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -11745,93 +11528,66 @@ Q Q Q q -1 0 0 1 57.02362 177.0236 cm +1 0 0 1 57.02362 669.0236 cm Q q -1 0 0 1 57.02362 123.0236 cm +1 0 0 1 57.02362 615.0236 cm q BT 1 0 0 1 0 38 Tm 3.259272 Tw 12 TL /F5 10 Tf 0 0 0 rg (tcp-sendfile) Tj /F1 10 Tf ( is a 90-line asm-gc builtin. It opens the path, ) Tj /F5 10 Tf (lseek) Tj /F1 10 Tf ('s to find the size, then loops) Tj T* 0 Tw 1.390522 Tw /F5 10 Tf (sendfile\(2\)) Tj /F1 10 Tf ( until the full body is written, and ) Tj /F5 10 Tf (close\(\)) Tj /F1 10 Tf ('s. The body never enters the Lumbda heap \227) Tj T* 0 Tw .243432 Tw (headers are composed in Scheme and flushed via ) Tj /F5 10 Tf (tcp-send) Tj /F1 10 Tf (, then the kernel DMAs the file directly into the) Tj T* 0 Tw (socket buffer.) Tj T* ET Q Q q -1 0 0 1 57.02362 93.02362 cm +1 0 0 1 57.02362 585.0236 cm q BT 1 0 0 1 0 14 Tm 4.109816 Tw 12 TL /F3 10 Tf 0 0 0 rg (Four-way race) Tj /F1 10 Tf ( \() Tj /F5 10 Tf (tests/bench-www-race.sh) Tj /F1 10 Tf (, i5-8350U, 1000 small requests, 100 large requests,) Tj T* 0 Tw (concurrency 8, ) Tj /F5 10 Tf (xargs) Tj ( ) Tj (-P) Tj ( ) Tj (8) Tj ( ) Tj (curl) Tj /F1 10 Tf (, adjacent runs\):) Tj T* ET Q Q q -1 0 0 1 57.02362 87.02362 cm +1 0 0 1 57.02362 579.0236 cm Q q -1 0 0 1 57.02362 69.02362 cm +1 0 0 1 57.02362 489.0236 cm q 1 1 1 rg +n 0 90 481.2283 -18 re f* +.878431 .878431 .878431 rg +n 0 72 481.2283 -18 re f* +1 1 1 rg +n 0 54 481.2283 -18 re f* +.878431 .878431 .878431 rg +n 0 36 481.2283 -18 re f* +1 1 1 rg n 0 18 481.2283 -18 re f* 0 0 0 rg BT /F3 10 Tf 12 TL ET q -1 0 0 1 6 3 cm +1 0 0 1 6 75 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 74.68067 0 Td (Server) Tj T* -74.68067 0 Td ET Q Q q -1 0 0 1 198.4913 3 cm +1 0 0 1 198.4913 75 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 18.78283 0 Td (PDF req/s) Tj T* -18.78283 0 Td ET Q Q q -1 0 0 1 294.737 3 cm +1 0 0 1 294.737 75 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 17.39783 0 Td (PDF MiB/s) Tj T* -17.39783 0 Td ET Q Q q -1 0 0 1 390.9827 3 cm +1 0 0 1 390.9827 75 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 18.77783 0 Td (Peak RSS) Tj T* -18.77783 0 Td ET Q Q -q -1 J -1 j -0 0 0 RG -.25 w -n 0 0 m 481.2283 0 l S -n 192.4913 0 m 192.4913 18 l S -n 288.737 0 m 288.737 18 l S -n 384.9827 0 m 384.9827 18 l S -n 0 18 m 481.2283 18 l S -n 0 0 m 0 18 l S -n 481.2283 0 m 481.2283 18 l S -Q -Q -Q - -endstream -endobj -181 0 obj -<< -/Length 8924 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET -q -1 0 0 1 57.02362 693.0236 cm -q -1 1 1 rg -n 0 72 481.2283 -18 re f* -.878431 .878431 .878431 rg -n 0 54 481.2283 -18 re f* -1 1 1 rg -n 0 36 481.2283 -18 re f* -.878431 .878431 .878431 rg -n 0 18 481.2283 -18 re f* 0 0 0 rg BT /F1 10 Tf 12 TL ET q @@ -11955,110 +11711,101 @@ n 0 72 m 481.2283 72 l S n 0 54 m 481.2283 54 l S n 0 36 m 481.2283 36 l S n 0 18 m 481.2283 18 l S -n 192.4913 0 m 192.4913 72 l S -n 288.737 0 m 288.737 72 l S -n 384.9827 0 m 384.9827 72 l S -n 0 0 m 0 72 l S -n 481.2283 0 m 481.2283 72 l S +n 192.4913 0 m 192.4913 90 l S +n 288.737 0 m 288.737 90 l S +n 384.9827 0 m 384.9827 90 l S +n 0 90 m 481.2283 90 l S n 0 0 m 481.2283 0 l S +n 0 0 m 0 90 l S +n 481.2283 0 m 481.2283 90 l S Q Q Q q -1 0 0 1 57.02362 693.0236 cm +1 0 0 1 57.02362 489.0236 cm Q q -1 0 0 1 57.02362 639.0236 cm +1 0 0 1 57.02362 435.0236 cm q BT 1 0 0 1 0 38 Tm -0.070097 Tw 12 TL /F1 10 Tf 0 0 0 rg (All four servers return the PDF byte-identical against the on-disk master. The sendfile path lands within 2% of) Tj T* 0 Tw -0.036403 Tw (Caddy on throughput while holding ) Tj /F3 10 Tf (9\327 less peak RSS) Tj /F1 10 Tf ( in a binary ) Tj /F3 10 Tf (1,400\327 smaller) Tj /F1 10 Tf ( \(27 KB stripped vs 38 MB\).) Tj T* 0 Tw 1.29189 Tw (Small-request throughput \() Tj /F5 10 Tf (GET) Tj ( ) Tj (/) Tj /F1 10 Tf (\) is essentially flat across the three lumbda variants \227 the cached path) Tj T* 0 Tw (already removed per-request work, so sendfile's win is entirely on large bodies.) Tj T* ET Q Q q -1 0 0 1 57.02362 549.0236 cm +1 0 0 1 57.02362 345.0236 cm q BT 1 0 0 1 0 74 Tm .177835 Tw 12 TL /F3 10 Tf 0 0 0 rg (Adaptive preload: ``http-static-server-adaptive.lsp``.) Tj /F1 10 Tf ( A hit-counter hash-table \(URL ) Tj /F6 10 Tf 12 TL (\256) Tj /F1 10 Tf 12 TL ( integer\) is updated) Tj T* 0 Tw 1.609168 Tw (every request. Every ) Tj /F4 10 Tf (N) Tj /F1 10 Tf ( requests the counter is flushed to ) Tj /F5 10 Tf (www.hits) Tj /F1 10 Tf ( as newline-delimited ) Tj /F5 10 Tf (path) Tj ( ) Tj (count) Tj /F1 10 Tf T* 0 Tw .451079 Tw (records. On startup the file is loaded, sorted descending, and the top ) Tj /F4 10 Tf (cache-max) Tj /F1 10 Tf ( URLs are preloaded \227 so) Tj T* 0 Tw 2.841575 Tw (each boot reflects what the previous run actually served. Cold start falls back to a seed list \() Tj /F5 10 Tf (/) Tj /F1 10 Tf ( and) Tj T* 0 Tw 1.316019 Tw /F5 10 Tf (/404.html) Tj /F1 10 Tf (\). Cold requests beyond the seed set are promoted into the cache on first hit until the cap is) Tj T* 0 Tw 1.39989 Tw (reached. Because this server mutates persistent state \(the counter and the cache\) on every request, the) Tj T* 0 Tw (arena-pattern ) Tj /F5 10 Tf (heap-restore) Tj /F1 10 Tf ( is dropped and the GC build's mark-sweep reclaims transients instead.) Tj T* ET Q Q q -1 0 0 1 57.02362 507.0236 cm +1 0 0 1 57.02362 303.0236 cm q BT 1 0 0 1 0 26 Tm -0.123981 Tw 12 TL /F1 10 Tf 0 0 0 rg (For small deployments \() Tj /F6 10 Tf 12 TL (\243) Tj /F1 10 Tf 12 TL ( ~1000 resources\) this is ~95% of the win of a full predictive-preload system: the top) Tj T* 0 Tw .681079 Tw (few URLs dominate traffic and get pinned at boot. Anything rarer warms on demand. The remaining 5% \227) Tj T* 0 Tw (predicting which URLs will be needed from ) Tj /F4 10 Tf (co-occurrence) Tj /F1 10 Tf ( rather than raw frequency \227 is \24713 Future Work.) Tj T* ET Q Q q -1 0 0 1 57.02362 467.8236 cm +1 0 0 1 57.02362 271.8236 cm q -BT 1 0 0 1 0 3.2 Tm 108.3902 0 Td 19.2 TL /F2 16 Tf .133333 .133333 .133333 rg (12. MOAD Audit: Fixing What We Built) Tj T* -108.3902 0 Td ET +BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (11.8 Bend: Cross-Tier GPU Dispatch) Tj T* ET Q Q q -1 0 0 1 57.02362 413.8236 cm +1 0 0 1 57.02362 215.8236 cm q -BT 1 0 0 1 0 38 Tm .158726 Tw 12 TL /F1 10 Tf 0 0 0 rg (We scanned all three implementations for the five MOADs. The taxonomy used here is defined in the ) Tj 0 .4 .6 rg (MOAD) Tj T* 0 Tw 3.384835 Tw (Cheat Sheet) Tj 0 0 0 rg ( at undefect.com \227 MOAD-0001 \(sedimentary O\(N\262\) defects\), MOAD-0002 \(intertangle\),) Tj T* 0 Tw .059816 Tw (MOAD-0003 \(context-leak\), MOAD-0004 \(stringly-typed\), MOAD-0005 \(bus-factor\). Every project contains its) Tj T* 0 Tw (own sediment.) Tj T* ET +BT 1 0 0 1 0 38 Tm .143223 Tw 12 TL /F1 10 Tf 0 0 0 rg (\24711.3 showed lumbda serving HTTP from any tier. \24711.4 showed s-expressions over sockets as RPC. \24711.5) Tj T* 0 Tw 1.319104 Tw (moved live bindings between machines through portal-over-HTTP. The last scope \2474.3 planted \227 ) Tj /F4 10 Tf (across) Tj T* 0 Tw .28755 Tw (heterogeneous compute) Tj /F1 10 Tf ( \227 needs one more primitive: a way for Scheme code to dispatch hot inner loops to) Tj T* 0 Tw (a CUDA-backed worker without pulling the toolchain into the lumbda build.) Tj T* ET Q Q q -1 0 0 1 57.02362 323.8236 cm +1 0 0 1 57.02362 137.8236 cm q -BT 1 0 0 1 0 74 Tm 7.459168 Tw 12 TL /F3 10 Tf 0 0 0 rg (Standard: what the Lean EML proof sets.) Tj /F1 10 Tf ( \2478 documents a formal Lean 4 proof that) Tj T* 0 Tw .542844 Tw /F5 10 Tf (eml\(x,) Tj ( ) Tj (y\)) Tj ( ) Tj (=) Tj ( ) Tj (exp\(x\)) Tj ( ) Tj (-) Tj ( ) Tj (ln\(y\)) Tj /F1 10 Tf ( generates every elementary function \227 and that the proof is 40\327 faster) Tj T* 0 Tw .55131 Tw (than the brute-force numerical verification it replaced. That speedup is the MOAD-0001 story in microcosm:) Tj T* 0 Tw 1.171667 Tw (algebraic understanding beats O\(N\262\) search, at the proof layer just like at every other layer. We take that) Tj T* 0 Tw .048417 Tw (standard as the bar for the implementations too. Every hot path should be fast for a ) Tj /F4 10 Tf (reason) Tj /F1 10 Tf ( \(a hash, a cache,) Tj T* 0 Tw -0.019034 Tw (an O\(1\) invariant\), not because a test didn't happen to hit the slow case. Every behavior should be correct for) Tj T* 0 Tw (a reason, not by coincidence. The audit below is where we hold ourselves to that bar.) Tj T* ET +BT 1 0 0 1 0 62 Tm 1.889873 Tw 12 TL /F5 10 Tf 0 0 0 rg (examples/cuda-fanout/) Tj /F1 10 Tf ( ships that primitive. ) Tj /F5 10 Tf (\(bend) Tj ( ) Tj (...\)) Tj /F1 10 Tf ( is a special form that takes one ordinary) Tj T* 0 Tw .746417 Tw (lambda invocation and, at call time, decides whether to evaluate it locally or ship it to a worker over a wire) Tj T* 0 Tw 2.457739 Tw (protocol. The decision is cost-driven \227 a per-form estimator compares the wire round-trip against the) Tj T* 0 Tw .933022 Tw (expected local cost and picks the cheaper path. The same ) Tj /F5 10 Tf (\(bend) Tj ( ) Tj (...\)) Tj /F1 10 Tf ( form runs unmodified across the) Tj T* 0 Tw .729903 Tw (Python, C, and asm tiers; the dispatcher reuses the same socket + portal primitives the other \24711 sections) Tj T* 0 Tw (built.) Tj T* ET Q Q q -1 0 0 1 57.02362 209.8236 cm -q -BT 1 0 0 1 0 98 Tm 1.954609 Tw 12 TL /F1 10 Tf 0 0 0 rg (We also ran the unmoad scanner on the full tree at each release. Most recent scan \(2026-04-17, post) Tj T* 0 Tw .255223 Tw (portal-over-HTTP\): 18 HIGH MOAD-0001 candidates in C and 4 MOAD-0003 candidates in Python. All 18 C) Tj T* 0 Tw 1.186796 Tw (candidates inspected individually turn out to be false positives \227 one-shot option parsing, bounded-depth) Tj T* 0 Tw .330596 Tw (ancestor walks, hash bucket chain walks \(already O\(1\) amortized\), or static 6-element tables \(e.g. ) Tj /F5 10 Tf (#\\space) Tj /F1 10 Tf T* 0 Tw 3.004862 Tw (char-literal names\). The 4 Python MOAD-0003 candidates are scanner misfires on a non-ContextVar) Tj T* 0 Tw 6.764835 Tw /F5 10 Tf (Env.set\(\)) Tj /F1 10 Tf ( method. New-work-introduced MOAD-0001: ) Tj /F3 10 Tf (zero) Tj /F1 10 Tf (. The defects fixed in this paper) Tj T* 0 Tw 2.914587 Tw (\() Tj /F5 10 Tf (intern_symbol) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (_define_record_type) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (bi_string_replace) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (_tokenize_lines) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (Env.lookup) Tj /F1 10 Tf T* 0 Tw 1.773223 Tw (shortcut\) were all surfaced by other pressures \227 benchmarks, crashes, portal exchanges \227 not by the) Tj T* 0 Tw (scanner. The scanner remains a second line; the first line is building with understanding.) Tj T* ET -Q -Q -q -1 0 0 1 57.02362 178.6236 cm -q -BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (12.1 MOAD-0001: The Sedimentary Defect in Our Own Code) Tj T* ET -Q -Q -q -1 0 0 1 57.02362 134.6236 cm -q -BT 1 0 0 1 0 26 Tm 1.195596 Tw 12 TL /F1 10 Tf 0 0 0 rg (The assembly interpreter's ) Tj /F5 10 Tf (intern_symbol) Tj /F1 10 Tf ( used a linear scan through all interned symbols \227 O\(N\) per) Tj T* 0 Tw .024897 Tw (lookup, O\(N\262\) over a program's lifetime. For a program defining 34 builtins plus user symbols, every ) Tj /F5 10 Tf (define) Tj /F1 10 Tf (,) Tj T* 0 Tw (every lambda parameter, every variable reference walked the entire table.) Tj T* ET -Q -Q -q -1 0 0 1 57.02362 116.6236 cm -q -BT 1 0 0 1 0 2 Tm 12 TL /F3 10 Tf 0 0 0 rg (Before \(linear scan\)) Tj /F1 10 Tf (:) Tj T* ET -Q -Q -q -1 0 0 1 57.02362 66.62362 cm -q -q -1 0 0 1 0 0 cm -q -1 0 0 1 6.6 6.6 cm -q -.662745 .662745 .662745 RG -.5 w -.960784 .960784 .960784 rg -n -6 -6 480.0283 40.8 re B* -Q -q -0 0 0 rg -BT 1 0 0 1 0 20.8 Tm /F5 8 Tf 9.6 TL (.isym_search:) Tj T* ( cmpq %rcx, %r8 # compare lengths) Tj T* ( jne .isym_next) Tj T* ET -Q -Q -Q -Q +1 0 0 1 57.02362 129.8236 cm Q endstream endobj -182 0 obj +184 0 obj << -/Length 7975 +/Length 10725 >> stream 1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 703.8236 cm +1 0 0 1 57.02362 565.484 cm +q +0 0 0 rg +BT /F1 10 Tf 12 TL ET +q +1 0 0 1 15.38457 69 cm +q +450.4592 0 0 127.5397 0 0 cm +/FormXob.a7129805162329e94fcca5fcf99f02ab Do +Q +Q +q +1 0 0 1 6 3 cm +q +0 0 0 rg +BT 1 0 0 1 0 50 Tm /F4 10 Tf 12 TL .664173 0 Td (One ``\(bend \205\)`` form across host, wire, worker, and GPU. The cost estimator picks local vs wire per call;) Tj T* 10.82 0 Td (small payloads ride the S-expression text frame, huge payloads ride the binary ``BSHK`` / ``BCGB`` /) Tj T* -11.48417 0 Td -0.104298 Tw (``BSCP`` / ``BSRT`` / ``BSB3`` magic. The worker tier \227 Python, C, or asm \227 spawns a leaf CUDA binary) Tj T* 0 Tw .404173 0 Td (via its native process-spawn primitive \(``subprocess.Popen`` / ``fork`` + ``execve`` / raw ``pipe2`` + ``fork``) Tj T* 22.335 0 Td (+ ``execve``\). Dashed arrows are the return path; results travel the same wire frame backwards.) Tj T* -22.73917 0 Td ET +Q +Q +q +Q +Q +Q +q +1 0 0 1 57.02362 557.484 cm +Q +q +1 0 0 1 57.02362 515.484 cm +q +BT 1 0 0 1 0 26 Tm 1.94589 Tw 12 TL /F3 10 Tf 0 0 0 rg (Two wire modes, one form.) Tj /F1 10 Tf ( Bend's wire protocol carries either S-expressions \(text\) or a binary frame) Tj T* 0 Tw .631575 Tw (whose first four bytes are a magic that names the payload shape \() Tj /F5 10 Tf (BSHK) Tj /F1 10 Tf ( for shake fan-out, ) Tj /F5 10 Tf (BCGB) Tj /F1 10 Tf ( for CGBN) Tj T* 0 Tw (ops, ) Tj /F5 10 Tf (BSCP) Tj /F1 10 Tf ( for secp256k1 scalar-mul, ) Tj /F5 10 Tf (BSRT) Tj /F1 10 Tf (/) Tj /F5 10 Tf (BSRR) Tj /F1 10 Tf ( for radix sort, ) Tj /F5 10 Tf (BSB3) Tj /F1 10 Tf (/) Tj /F5 10 Tf (BSR3) Tj /F1 10 Tf ( for BLAKE3-tree\):) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 446.284 cm q q 1 0 0 1 0 0 cm @@ -12071,21 +11818,488 @@ q n -6 -6 480.0283 60 re B* Q q -0 0 0 rg -BT 1 0 0 1 0 40 Tm /F5 8 Tf 9.6 TL ( rep cmpsb # compare bytes) Tj T* ( je .isym_found) Tj T* (.isym_next:) Tj T* ( addq $24, %rax # next entry) Tj T* ( jmp .isym_search # O\(N\) per intern) Tj T* ET +.960784 .960784 .960784 rg +n 0 38.4 302.4 9.6 re f* +.960784 .960784 .960784 rg +n 302.4 38.4 0 9.6 re f* +.960784 .960784 .960784 rg +n 0 28.8 4.8 9.6 re f* +.960784 .960784 .960784 rg +n 4.8 28.8 24 9.6 re f* +.960784 .960784 .960784 rg +n 28.8 28.8 4.8 9.6 re f* +.960784 .960784 .960784 rg +n 33.6 28.8 4.8 9.6 re f* +.960784 .960784 .960784 rg +n 38.4 28.8 4.8 9.6 re f* +.960784 .960784 .960784 rg +n 43.2 28.8 81.6 9.6 re f* +.960784 .960784 .960784 rg +n 124.8 28.8 4.8 9.6 re f* +.960784 .960784 .960784 rg +n 129.6 28.8 4.8 9.6 re f* +.960784 .960784 .960784 rg +n 134.4 28.8 19.2 9.6 re f* +.960784 .960784 .960784 rg +n 153.6 28.8 4.8 9.6 re f* +.960784 .960784 .960784 rg +n 158.4 28.8 19.2 9.6 re f* +.960784 .960784 .960784 rg +n 177.6 28.8 4.8 9.6 re f* +.960784 .960784 .960784 rg +n 182.4 28.8 48 9.6 re f* +.960784 .960784 .960784 rg +n 230.4 28.8 4.8 9.6 re f* +.960784 .960784 .960784 rg +n 235.2 28.8 4.8 9.6 re f* +.960784 .960784 .960784 rg +n 240 28.8 9.6 9.6 re f* +.960784 .960784 .960784 rg +n 249.6 28.8 9.6 9.6 re f* +.960784 .960784 .960784 rg +n 259.2 28.8 0 9.6 re f* +.960784 .960784 .960784 rg +n 0 19.2 0 9.6 re f* +.960784 .960784 .960784 rg +n 0 9.6 259.2 9.6 re f* +.960784 .960784 .960784 rg +n 259.2 9.6 0 9.6 re f* +.960784 .960784 .960784 rg +n 0 0 4.8 9.6 re f* +.960784 .960784 .960784 rg +n 4.8 0 24 9.6 re f* +.960784 .960784 .960784 rg +n 28.8 0 4.8 9.6 re f* +.960784 .960784 .960784 rg +n 33.6 0 4.8 9.6 re f* +.960784 .960784 .960784 rg +n 38.4 0 4.8 9.6 re f* +.960784 .960784 .960784 rg +n 43.2 0 72 9.6 re f* +.960784 .960784 .960784 rg +n 115.2 0 4.8 9.6 re f* +.960784 .960784 .960784 rg +n 120 0 4.8 9.6 re f* +.960784 .960784 .960784 rg +n 124.8 0 4.8 9.6 re f* +.960784 .960784 .960784 rg +n 129.6 0 33.6 9.6 re f* +.960784 .960784 .960784 rg +n 163.2 0 9.6 9.6 re f* +.960784 .960784 .960784 rg +n 172.8 0 0 9.6 re f* +BT 1 0 0 1 0 40 Tm 9.6 TL /F9 8 Tf .25098 .501961 .501961 rg (;; small payloads \227 readable, every tier already has the parser) Tj /F5 8 Tf .733333 .733333 .733333 rg T* 0 0 0 rg (\() Tj 0 0 1 rg (bend!) Tj .733333 .733333 .733333 rg ( ) Tj .4 .4 .4 rg (') Tj 0 0 0 rg (\() Tj .098039 .090196 .486275 rg (cuda-shake-fanout) Tj .733333 .733333 .733333 rg ( ) Tj 0 0 0 rg (\() Tj .729412 .129412 .129412 rg ("00") Tj .733333 .733333 .733333 rg ( ) Tj .729412 .129412 .129412 rg ("01") Tj .733333 .733333 .733333 rg ( ) Tj .729412 .129412 .129412 rg ("deadbeef") Tj 0 0 0 rg (\)) Tj .733333 .733333 .733333 rg ( ) Tj .4 .4 .4 rg (32) Tj 0 0 0 rg (\)\)) Tj .733333 .733333 .733333 rg T* T* /F9 8 Tf .25098 .501961 .501961 rg (;; huge payloads \227 binary frame, parser cost drops out) Tj /F5 8 Tf .733333 .733333 .733333 rg T* 0 0 0 rg (\() Tj 0 0 1 rg (bend!) Tj .733333 .733333 .733333 rg ( ) Tj .4 .4 .4 rg (') Tj 0 0 0 rg (\() Tj .098039 .090196 .486275 rg (cuda-radix-sort) Tj .733333 .733333 .733333 rg ( ) Tj .098039 .090196 .486275 rg (n) Tj .733333 .733333 .733333 rg ( ) Tj .098039 .090196 .486275 rg (u64-vec) Tj 0 0 0 rg (\)\)) Tj .733333 .733333 .733333 rg T* ET Q Q Q Q Q q -1 0 0 1 57.02362 683.8236 cm +1 0 0 1 57.02362 378.284 cm +q +BT 1 0 0 1 0 50 Tm .092844 Tw 12 TL /F1 10 Tf 0 0 0 rg (S-expression mode wins on small calls because no new code path runs \227 the existing portal reader handles) Tj T* 0 Tw .716917 Tw (the round-trip. Binary mode wins at scale: at 1 M \327 16 B SHAKE-256 inputs the BSHK path is ) Tj /F3 10 Tf (150\327 faster) Tj T* 0 Tw .706962 Tw (than s-exp) Tj /F1 10 Tf ( \(parser cost dominates above ~1 k inputs\) and ) Tj /F3 10 Tf (12\327 faster than the host's own hashlib loop) Tj /F1 10 Tf (.) Tj T* 0 Tw .522018 Tw (The crossover is the same shape we saw with the JSON portal vs the binary heap dump in \2477.4: portability) Tj T* 0 Tw (wins until the parser is the bottleneck, then the typed binary frame takes over.) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 276.284 cm +q +BT 1 0 0 1 0 86 Tm 2.747835 Tw 12 TL /F3 10 Tf 0 0 0 rg (Workers run on any tier.) Tj /F1 10 Tf ( ) Tj /F5 10 Tf (make) Tj ( ) Tj (gpu-worker) Tj ( ) Tj (LUMBDA={c,python,asm}) Tj /F1 10 Tf ( boots a Scheme-resident) Tj T* 0 Tw 2.532397 Tw (gpu-worker that listens on port 8320 \(BEND mnemonic\) and spawns a leaf CUDA binary per call via) Tj T* 0 Tw 1.394395 Tw /F5 10 Tf (spawn-process-stdio) Tj /F1 10 Tf ( \227 a new cross-tier primitive \(Python ) Tj /F5 10 Tf (subprocess.Popen) Tj /F1 10 Tf (, C ) Tj /F5 10 Tf (fork) Tj /F1 10 Tf ( + ) Tj /F5 10 Tf (execve) Tj /F1 10 Tf (,) Tj T* 0 Tw 10.87488 Tw (asm raw ) Tj /F5 10 Tf (pipe2) Tj /F1 10 Tf ( + ) Tj /F5 10 Tf (fork) Tj /F1 10 Tf ( + ) Tj /F5 10 Tf (execve) Tj /F1 10 Tf ( syscalls \227 no libc\) that lands the same) Tj T* 0 Tw .898556 Tw /F5 10 Tf (\(spawn-process-stdio) Tj ( ) Tj (path) Tj ( ) Tj (argv\)) Tj /F1 10 Tf ( form in all three tiers. The C-tier worker host is ) Tj /F3 10 Tf (~9\327 faster than) Tj T* 0 Tw .864897 Tw (Python) Tj /F1 10 Tf ( on small calls \(dispatcher overhead drops with the interpreter\); at huge calls the binary wire mode) Tj T* 0 Tw 1.768022 Tw (equalizes everything because the worker is now spending all its time in the CUDA kernel. The asm-tier) Tj T* 0 Tw (worker host is ~70 KB statically linked.) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 222.284 cm +q +BT 1 0 0 1 0 38 Tm 20.47204 Tw 12 TL /F3 10 Tf 0 0 0 rg (Worker health.) Tj /F1 10 Tf ( Every worker exposes a ) Tj /F5 10 Tf (\(health\)) Tj /F1 10 Tf ( op that returns) Tj T* 0 Tw .007025 Tw /F5 10 Tf (\(vram-free-bytes) Tj ( ) Tj (pid) Tj ( ) Tj (uptime-ms\)) Tj /F1 10 Tf (. The dispatcher caches the response for 5 s and ranks workers by) Tj T* 0 Tw 1.768138 Tw (free VRAM \227 a 3090 with 24 GB free always picks over a 4090 already running qwen. ) Tj /F5 10 Tf (cluster.lsp) Tj /F1 10 Tf T* 0 Tw (reuses the same protocol across a 3-node fleet \(3\327 RTX 3090, see ) Tj /F5 10 Tf (lumbda.com/bend.html) Tj /F1 10 Tf (\).) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 192.284 cm +q +BT 1 0 0 1 0 14 Tm 1.701223 Tw 12 TL /F3 10 Tf 0 0 0 rg (Catalog of live forms.) Tj /F1 10 Tf ( Each form ships a self-contained CUDA binary plus a one-line lumbda wrapper.) Tj T* 0 Tw (Headline numbers on RTX 3090:) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 186.284 cm +Q +q +1 0 0 1 57.02362 72.28397 cm +q +1 1 1 rg +n 0 114 481.2283 -18 re f* +.878431 .878431 .878431 rg +n 0 96 481.2283 -18 re f* +1 1 1 rg +n 0 78 481.2283 -30 re f* +.878431 .878431 .878431 rg +n 0 48 481.2283 -18 re f* +1 1 1 rg +n 0 30 481.2283 -30 re f* +0 0 0 rg +BT /F3 10 Tf 12 TL ET +q +1 0 0 1 6 99 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 44.05969 0 Td (Form) Tj T* -44.05969 0 Td ET +Q +Q +q +1 0 0 1 131.1194 99 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 57.38339 0 Td (Throughput) Tj T* -57.38339 0 Td ET +Q +Q +q +1 0 0 1 313.9861 99 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 19.97512 0 Td (vs baseline) Tj T* -19.97512 0 Td ET +Q +Q +q +1 0 0 1 419.8564 99 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 16.85098 0 Td (Wire) Tj T* -16.85098 0 Td ET +Q +Q +0 0 0 rg +BT /F1 10 Tf 12 TL ET +q +1 0 0 1 6 81 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F5 10 Tf 12 TL (cuda-shake-fanout) Tj T* ET +Q +Q +q +1 0 0 1 131.1194 81 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (1 M \327 16 B in ~12 ms) Tj T* ET +Q +Q +q +1 0 0 1 313.9861 81 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (12\327 hashlib) Tj T* ET +Q +Q +q +1 0 0 1 419.8564 81 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (BSHK) Tj T* ET +Q +Q +q +1 0 0 1 6 51 cm +q +BT 1 0 0 1 0 14 Tm 12 TL /F5 10 Tf 0 0 0 rg (cuda-secp256k1-mul) Tj /F1 10 Tf T* (v3) Tj T* ET +Q +Q +q +1 0 0 1 131.1194 63 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (13.83 Mkeys/s @ n=1M) Tj T* ET +Q +Q +q +1 0 0 1 313.9861 51 cm +q +0 0 0 rg +BT 1 0 0 1 0 14 Tm /F1 10 Tf 12 TL (1.76\327 v1 \(~309\327) Tj T* (coincurve\)) Tj T* ET +Q +Q +q +1 0 0 1 419.8564 63 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (BSCP) Tj T* ET +Q +Q +q +1 0 0 1 6 33 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F5 10 Tf 12 TL (cuda-bignum-cgbn) Tj T* ET +Q +Q +q +1 0 0 1 131.1194 33 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (1.28 Gops/s mod-mul \(256-bit\)) Tj T* ET +Q +Q +q +1 0 0 1 313.9861 33 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (~256\327 GMP CPU) Tj T* ET +Q +Q +q +1 0 0 1 419.8564 33 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (BCGB) Tj T* ET +Q +Q +q +1 0 0 1 6 15 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F5 10 Tf 12 TL (cuda-radix-sort) Tj T* ET +Q +Q +q +1 0 0 1 131.1194 3 cm +q +BT 1 0 0 1 0 14 Tm 12 TL /F1 10 Tf 0 0 0 rg (5.50 Gkeys/s @ n=10M \(CUB) Tj T* /F5 10 Tf (DeviceRadixSort) Tj /F1 10 Tf ( u64\)) Tj T* ET +Q +Q +q +1 0 0 1 313.9861 15 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (~4\327 Titan baseline) Tj T* ET +Q +Q +q +1 0 0 1 419.8564 15 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (BSRT) Tj T* ET +Q +Q +q +1 J +1 j +0 0 0 RG +.25 w +n 0 0 m 481.2283 0 l S +n 0 96 m 481.2283 96 l S +n 0 78 m 481.2283 78 l S +n 0 48 m 481.2283 48 l S +n 0 30 m 481.2283 30 l S +n 125.1194 0 m 125.1194 114 l S +n 307.9861 0 m 307.9861 114 l S +n 413.8564 0 m 413.8564 114 l S +n 0 114 m 481.2283 114 l S +n 0 0 m 0 114 l S +n 481.2283 0 m 481.2283 114 l S +Q +Q +Q + +endstream +endobj +185 0 obj +<< +/Length 7638 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET +q +1 0 0 1 57.02362 681.0236 cm +q +1 1 1 rg +n 0 84 481.2283 -30 re f* +.878431 .878431 .878431 rg +n 0 54 481.2283 -54 re f* +0 0 0 rg +BT /F1 10 Tf 12 TL ET +q +1 0 0 1 6 69 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F5 10 Tf 12 TL (cuda-blake3-tree) Tj T* ET +Q +Q +q +1 0 0 1 131.1194 57 cm +q +0 0 0 rg +BT 1 0 0 1 0 14 Tm /F1 10 Tf 12 TL (32.5 GB/s @ 1M \327 64 B \(kernel 1.97) Tj T* (ms\)) Tj T* ET +Q +Q +q +1 0 0 1 313.9861 57 cm +q +0 0 0 rg +BT 1 0 0 1 0 14 Tm /F1 10 Tf 12 TL (single-GPU) Tj T* (reference) Tj T* ET +Q +Q +q +1 0 0 1 419.8564 69 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (BSB3) Tj T* ET +Q +Q +q +1 0 0 1 6 39 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F5 10 Tf 12 TL (cuda-sim-ops-bin) Tj T* ET +Q +Q +q +1 0 0 1 131.1194 3 cm +q +BT 1 0 0 1 0 38 Tm 12 TL /F1 10 Tf 0 0 0 rg (1.27\327 host @ 141 batches \(9024) Tj T* (shots\); SHAKE-RNG mode) Tj T* (bit-identical to upstream) Tj T* /F5 10 Tf (eval_circuit) Tj T* ET +Q +Q +q +1 0 0 1 313.9861 27 cm +q +0 0 0 rg +BT 1 0 0 1 0 14 Tm /F1 10 Tf 12 TL (matches upstream) Tj T* (Pareto) Tj T* ET +Q +Q +q +1 0 0 1 419.8564 39 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F5 10 Tf 12 TL (ops.bin) Tj T* ET +Q +Q +q +1 J +1 j +0 0 0 RG +.25 w +n 0 84 m 481.2283 84 l S +n 0 54 m 481.2283 54 l S +n 125.1194 0 m 125.1194 84 l S +n 307.9861 0 m 307.9861 84 l S +n 413.8564 0 m 413.8564 84 l S +n 0 0 m 0 84 l S +n 481.2283 0 m 481.2283 84 l S +n 0 0 m 481.2283 0 l S +Q +Q +Q +q +1 0 0 1 57.02362 681.0236 cm +Q +q +1 0 0 1 57.02362 603.0236 cm +q +BT 1 0 0 1 0 62 Tm 4.743486 Tw 12 TL /F1 10 Tf 0 0 0 rg (Every form's output is byte-identical against a host reference: ) Tj /F5 10 Tf (hashlib.shake_256) Tj /F1 10 Tf ( for SHAKE,) Tj T* 0 Tw .608196 Tw /F5 10 Tf (coincurve) Tj /F1 10 Tf ( for secp256k1, ) Tj /F5 10 Tf (hashlib.blake3) Tj /F1 10 Tf ( for BLAKE3, Python ) Tj /F5 10 Tf (sorted\(\)) Tj /F1 10 Tf ( for radix, and the upstream) Tj T* 0 Tw 6.145257 Tw /F5 10 Tf (eval_circuit) Tj /F1 10 Tf ( walker on the same ) Tj /F5 10 Tf (ops.bin) Tj /F1 10 Tf ( for circuit simulation. The catalog is open at) Tj T* 0 Tw .711043 Tw /F5 10 Tf (examples/cuda-fanout/CATALOG.md) Tj /F1 10 Tf ( \227 currently 27 surveyed forms across cryptography, sort/search,) Tj T* 0 Tw 1.440835 Tw (graph, sparse linear algebra, and signal processing. Companion page: ) Tj /F5 10 Tf (lumbda.com/bend.html) Tj /F1 10 Tf ( carries) Tj T* 0 Tw (the live fleet status and the published speedup table.) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 537.0236 cm +q +BT 1 0 0 1 0 50 Tm .493597 Tw 12 TL /F3 10 Tf 0 0 0 rg (Why this matters past the speedups.) Tj /F1 10 Tf ( A 22 KB asm interpreter that drives a 24 GB GPU through a 4-byte) Tj T* 0 Tw .709387 Tw (magic + raw bytes is the same pattern the other \24711 sections demonstrate: the language sits on top of the) Tj T* 0 Tw .987397 Tw (kernel boundary, not under it. No CUDA toolchain links into lumbda. No libcudart in asm's address space.) Tj T* 0 Tw 1.04402 Tw (Every cross-compute call is one ) Tj /F5 10 Tf (\(bend) Tj ( ) Tj (...\)) Tj /F1 10 Tf ( form, one spawn, one wire frame. The wire format and the) Tj T* 0 Tw (language are the same artifact, again \227 and now the artifact crosses the host/accelerator boundary too.) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 497.8236 cm +q +BT 1 0 0 1 0 3.2 Tm 108.3902 0 Td 19.2 TL /F2 16 Tf .133333 .133333 .133333 rg (12. MOAD Audit: Fixing What We Built) Tj T* -108.3902 0 Td ET +Q +Q +q +1 0 0 1 57.02362 443.8236 cm +q +BT 1 0 0 1 0 38 Tm .158726 Tw 12 TL /F1 10 Tf 0 0 0 rg (We scanned all three implementations for the five MOADs. The taxonomy used here is defined in the ) Tj 0 .4 .6 rg (MOAD) Tj T* 0 Tw 3.384835 Tw (Cheat Sheet) Tj 0 0 0 rg ( at undefect.com \227 MOAD-0001 \(sedimentary O\(N\262\) defects\), MOAD-0002 \(intertangle\),) Tj T* 0 Tw .059816 Tw (MOAD-0003 \(context-leak\), MOAD-0004 \(stringly-typed\), MOAD-0005 \(bus-factor\). Every project contains its) Tj T* 0 Tw (own sediment.) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 353.8236 cm +q +BT 1 0 0 1 0 74 Tm 7.459168 Tw 12 TL /F3 10 Tf 0 0 0 rg (Standard: what the Lean EML proof sets.) Tj /F1 10 Tf ( \2478 documents a formal Lean 4 proof that) Tj T* 0 Tw .542844 Tw /F5 10 Tf (eml\(x,) Tj ( ) Tj (y\)) Tj ( ) Tj (=) Tj ( ) Tj (exp\(x\)) Tj ( ) Tj (-) Tj ( ) Tj (ln\(y\)) Tj /F1 10 Tf ( generates every elementary function \227 and that the proof is 40\327 faster) Tj T* 0 Tw .55131 Tw (than the brute-force numerical verification it replaced. That speedup is the MOAD-0001 story in microcosm:) Tj T* 0 Tw 1.171667 Tw (algebraic understanding beats O\(N\262\) search, at the proof layer just like at every other layer. We take that) Tj T* 0 Tw .048417 Tw (standard as the bar for the implementations too. Every hot path should be fast for a ) Tj /F4 10 Tf (reason) Tj /F1 10 Tf ( \(a hash, a cache,) Tj T* 0 Tw -0.019034 Tw (an O\(1\) invariant\), not because a test didn't happen to hit the slow case. Every behavior should be correct for) Tj T* 0 Tw (a reason, not by coincidence. The audit below is where we hold ourselves to that bar.) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 239.8236 cm +q +BT 1 0 0 1 0 98 Tm 1.954609 Tw 12 TL /F1 10 Tf 0 0 0 rg (We also ran the unmoad scanner on the full tree at each release. Most recent scan \(2026-04-17, post) Tj T* 0 Tw .255223 Tw (portal-over-HTTP\): 18 HIGH MOAD-0001 candidates in C and 4 MOAD-0003 candidates in Python. All 18 C) Tj T* 0 Tw 1.186796 Tw (candidates inspected individually turn out to be false positives \227 one-shot option parsing, bounded-depth) Tj T* 0 Tw .330596 Tw (ancestor walks, hash bucket chain walks \(already O\(1\) amortized\), or static 6-element tables \(e.g. ) Tj /F5 10 Tf (#\\space) Tj /F1 10 Tf T* 0 Tw 3.004862 Tw (char-literal names\). The 4 Python MOAD-0003 candidates are scanner misfires on a non-ContextVar) Tj T* 0 Tw 6.764835 Tw /F5 10 Tf (Env.set\(\)) Tj /F1 10 Tf ( method. New-work-introduced MOAD-0001: ) Tj /F3 10 Tf (zero) Tj /F1 10 Tf (. The defects fixed in this paper) Tj T* 0 Tw 2.914587 Tw (\() Tj /F5 10 Tf (intern_symbol) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (_define_record_type) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (bi_string_replace) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (_tokenize_lines) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (Env.lookup) Tj /F1 10 Tf T* 0 Tw 1.773223 Tw (shortcut\) were all surfaced by other pressures \227 benchmarks, crashes, portal exchanges \227 not by the) Tj T* 0 Tw (scanner. The scanner remains a second line; the first line is building with understanding.) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 208.6236 cm +q +BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (12.1 MOAD-0001: The Sedimentary Defect in Our Own Code) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 164.6236 cm +q +BT 1 0 0 1 0 26 Tm 1.195596 Tw 12 TL /F1 10 Tf 0 0 0 rg (The assembly interpreter's ) Tj /F5 10 Tf (intern_symbol) Tj /F1 10 Tf ( used a linear scan through all interned symbols \227 O\(N\) per) Tj T* 0 Tw .024897 Tw (lookup, O\(N\262\) over a program's lifetime. For a program defining 34 builtins plus user symbols, every ) Tj /F5 10 Tf (define) Tj /F1 10 Tf (,) Tj T* 0 Tw (every lambda parameter, every variable reference walked the entire table.) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 146.6236 cm +q +BT 1 0 0 1 0 2 Tm 12 TL /F3 10 Tf 0 0 0 rg (Before \(linear scan\)) Tj /F1 10 Tf (:) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 67.82362 cm +q +q +1 0 0 1 0 0 cm +q +1 0 0 1 6.6 6.6 cm +q +.662745 .662745 .662745 RG +.5 w +.960784 .960784 .960784 rg +n -6 -6 480.0283 69.6 re B* +Q +q +0 0 0 rg +BT 1 0 0 1 0 49.6 Tm /F5 8 Tf 9.6 TL (.isym_search:) Tj T* ( cmpq %rcx, %r8 # compare lengths) Tj T* ( jne .isym_next) Tj T* ( rep cmpsb # compare bytes) Tj T* ( je .isym_found) Tj T* (.isym_next:) Tj T* ET +Q +Q +Q +Q +Q + +endstream +endobj +186 0 obj +<< +/Length 8132 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET +q +1 0 0 1 57.02362 732.6236 cm +q +q +1 0 0 1 0 0 cm +q +1 0 0 1 6.6 6.6 cm +q +.662745 .662745 .662745 RG +.5 w +.960784 .960784 .960784 rg +n -6 -6 480.0283 31.2 re B* +Q +q +0 0 0 rg +BT 1 0 0 1 0 11.2 Tm /F5 8 Tf 9.6 TL ( addq $24, %rax # next entry) Tj T* ( jmp .isym_search # O\(N\) per intern) Tj T* ET +Q +Q +Q +Q +Q +q +1 0 0 1 57.02362 712.6236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F3 10 Tf 0 0 0 rg (After \(djb2 hash table, 1024 buckets\)) Tj /F1 10 Tf (:) Tj T* ET Q Q q -1 0 0 1 57.02362 605.0236 cm +1 0 0 1 57.02362 633.8236 cm q q 1 0 0 1 0 0 cm @@ -12105,32 +12319,32 @@ Q Q Q q -1 0 0 1 57.02362 549.0236 cm +1 0 0 1 57.02362 577.8236 cm q BT 1 0 0 1 0 38 Tm .721772 Tw 12 TL /F1 10 Tf 0 0 0 rg (The fix: 99 lines changed, 1024-bucket hash table with chaining. ) Tj /F3 10 Tf (2.9x faster) Tj /F1 10 Tf ( on a 2000-symbol stress test.) Tj T* 0 Tw 2.453719 Tw (On benchmarks with fewer symbols \() Tj /F5 10 Tf (ack) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (fib) Tj /F1 10 Tf (\), the improvement is modest \(15% on ) Tj /F5 10 Tf (sum-to\(50k\)) Tj /F1 10 Tf (\),) Tj T* 0 Tw 1.940417 Tw (because the linear scan was already fast at small N. The fix pays off at scale \227 the same pattern as) Tj T* 0 Tw (MOAD-0001 everywhere: invisible at small inputs, catastrophic at large ones.) Tj T* ET Q Q q -1 0 0 1 57.02362 519.0236 cm +1 0 0 1 57.02362 547.8236 cm q BT 1 0 0 1 0 14 Tm 1.423486 Tw 12 TL /F1 10 Tf 0 0 0 rg (The Python implementation had a similar defect: ) Tj /F5 10 Tf (_define_record_type) Tj /F1 10 Tf ( used ) Tj /F5 10 Tf (list.index\(\)) Tj /F1 10 Tf ( for field) Tj T* 0 Tw (lookup. Replaced with a dict. O\(N\) ) Tj /F6 10 Tf 12 TL (\256) Tj /F1 10 Tf 12 TL ( O\(1\).) Tj T* ET Q Q q -1 0 0 1 57.02362 489.0236 cm +1 0 0 1 57.02362 517.8236 cm q 0 0 0 rg BT 1 0 0 1 0 14 Tm /F3 10 Tf 12 TL 1.554556 Tw (Two more MOAD-0001 defects surfaced during the HTTP server work and were fixed in the same) Tj T* 0 Tw (pass:) Tj T* ET Q Q q -1 0 0 1 57.02362 483.0236 cm +1 0 0 1 57.02362 511.8236 cm Q q -1 0 0 1 57.02362 483.0236 cm +1 0 0 1 57.02362 511.8236 cm Q q -1 0 0 1 57.02362 447.0236 cm +1 0 0 1 57.02362 475.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -12152,10 +12366,10 @@ Q Q Q q -1 0 0 1 57.02362 441.0236 cm +1 0 0 1 57.02362 469.8236 cm Q q -1 0 0 1 57.02362 405.0236 cm +1 0 0 1 57.02362 433.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -12177,42 +12391,48 @@ Q Q Q q -1 0 0 1 57.02362 387.0236 cm +1 0 0 1 57.02362 415.8236 cm Q q -1 0 0 1 57.02362 309.0236 cm +1 0 0 1 57.02362 337.8236 cm q BT 1 0 0 1 0 62 Tm .226796 Tw 12 TL /F1 10 Tf 0 0 0 rg (A third correctness fix landed after the portal-over-HTTP demo exposed it: ) Tj /F5 10 Tf (lumbda.py) Tj /F1 10 Tf ('s ) Tj /F5 10 Tf (Env.lookup) Tj /F1 10 Tf ( used) Tj T* 0 Tw .794272 Tw (to short-cut from the local frame directly to the global frame before walking intermediate parents. That was) Tj T* 0 Tw .366019 Tw (fast but wrong \227 a let-loop parameter named the same as a global builtin \() Tj /F5 10 Tf (count) Tj /F1 10 Tf (, a SRFI-1 procedure\) got) Tj T* 0 Tw .949897 Tw (shadowed in reverse, the shortcut returned the global builtin instead of walking up to the loop's parameter) Tj T* 0 Tw .453797 Tw (frame. Fix: walk ) Tj /F5 10 Tf (self) Tj ( ) Tj /F6 10 Tf 12 TL (\256) Tj /F5 10 Tf 12 TL ( ) Tj (self.p) Tj ( ) Tj /F6 10 Tf 12 TL (\256) Tj /F5 10 Tf 12 TL ( ) Tj (...) Tj ( ) Tj /F6 10 Tf 12 TL (\256) Tj /F5 10 Tf 12 TL ( ) Tj (global) Tj /F1 10 Tf ( in order, without any shortcut. The inline cache at) Tj T* 0 Tw /F5 10 Tf (OP_LOOKUP) Tj /F1 10 Tf ( was correspondingly tightened to validate the full chain before firing. 980 tests remained green.) Tj T* ET Q Q q -1 0 0 1 57.02362 291.0236 cm +1 0 0 1 57.02362 187.8236 cm +q +BT 1 0 0 1 0 134 Tm 5.246835 Tw 12 TL /F3 10 Tf 0 0 0 rg (Post-cycle audit \(since 2026-04-24\).) Tj /F1 10 Tf ( Bend's wire protocol surfaced another sedimentary defect:) Tj T* 0 Tw .986027 Tw /F5 10 Tf (wire.lsp) Tj /F1 10 Tf ('s ) Tj /F5 10 Tf (recv-exact) Tj /F1 10 Tf ( accumulated bytes by repeatedly appending to a growing string, O\(n\262\) over the) Tj T* 0 Tw 2.694882 Tw (whole receive. The 1 M-input binary benchmark exposed it \227 Python tier Scheme-level scaling went) Tj T* 0 Tw 1.241079 Tw (non-linear above ~100 k bytes. Fix: collect into a list and ) Tj /F5 10 Tf (string-concat) Tj /F1 10 Tf ( once at end, O\(n\). The same) Tj T* 0 Tw .908453 Tw (benchmark also forced honest huge-workload numbers across all three tiers: C-tier worker host ~9\327 faster) Tj T* 0 Tw -0.121862 Tw (than Python, binary mode 12\327 faster than host hashlib at 1 M inputs. Two correctness fixes landed alongside:) Tj T* 0 Tw .066373 Tw (asm ) Tj /F5 10 Tf (scheme_read) Tj /F1 10 Tf ( had a 256-byte input buffer that overflowed on long strings \(#GP fault past 272 chars; fix) Tj T* 0 Tw .346556 Tw (raised the buffer and added a bounds check\), and asm ) Tj /F5 10 Tf (gc_sweep) Tj /F1 10 Tf ( had a page-fault on chunk-abandonment) Tj T* 0 Tw .582844 Tw (when the bump pointer landed exactly at a chunk-end boundary \(fix walks the chunk chain explicitly\). A JIT) Tj T* 0 Tw 1.024897 Tw (correctness fix on the C tier \227 the bytecode VM had been clobbering ) Tj /F5 10 Tf (cur_code) Tj /F1 10 Tf ( across ) Tj /F5 10 Tf (CALL) Tj /F1 10 Tf (/) Tj /F5 10 Tf (RETURN) Tj /F1 10 Tf ( in) Tj T* 0 Tw -0.074478 Tw (named-let bodies, hanging the EML proof checker on the rewriter loop \227 restored the cross-tier proof timings) Tj T* 0 Tw (in \2478.3.) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 169.8236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (Every release audit surfaces more. Writing new code is writing new sediment, unless the audit runs.) Tj T* ET Q Q q -1 0 0 1 57.02362 259.8236 cm +1 0 0 1 57.02362 138.6236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (12.2 MOAD-0002: The Intertangle in Our Own Design) Tj T* ET Q Q q -1 0 0 1 57.02362 239.8236 cm +1 0 0 1 57.02362 118.6236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (All three implementations share mutable global state between subsystems:) Tj T* ET Q Q q -1 0 0 1 57.02362 233.8236 cm +1 0 0 1 57.02362 112.6236 cm Q q -1 0 0 1 57.02362 233.8236 cm +1 0 0 1 57.02362 112.6236 cm Q q -1 0 0 1 57.02362 185.8236 cm +1 0 0 1 57.02362 64.62362 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -12234,10 +12454,19 @@ Q Q Q q -1 0 0 1 57.02362 179.8236 cm +1 0 0 1 57.02362 62.69291 cm Q + +endstream +endobj +187 0 obj +<< +/Length 8661 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 143.8236 cm +1 0 0 1 57.02362 729.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -12259,10 +12488,10 @@ Q Q Q q -1 0 0 1 57.02362 137.8236 cm +1 0 0 1 57.02362 723.0236 cm Q q -1 0 0 1 57.02362 101.8236 cm +1 0 0 1 57.02362 687.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -12284,62 +12513,53 @@ Q Q Q q -1 0 0 1 57.02362 83.82362 cm +1 0 0 1 57.02362 669.0236 cm Q - -endstream -endobj -183 0 obj -<< -/Length 8035 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 729.0236 cm +1 0 0 1 57.02362 627.0236 cm q BT 1 0 0 1 0 26 Tm .770556 Tw 12 TL /F1 10 Tf 0 0 0 rg (We documented these rather than refactoring them. In each case, the coupling exists for performance \(the) Tj T* 0 Tw .79631 Tw (globals are on hot paths\) or necessity \() Tj /F5 10 Tf (setjmp) Tj /F1 10 Tf ( requires thread-local state\). The documentation makes the) Tj T* 0 Tw (coupling visible so future work can decouple selectively.) Tj T* ET Q Q q -1 0 0 1 57.02362 697.8236 cm +1 0 0 1 57.02362 595.8236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (12.3 Our Shared Infrastructure) Tj T* ET Q Q q -1 0 0 1 57.02362 641.8236 cm +1 0 0 1 57.02362 539.8236 cm q BT 1 0 0 1 0 38 Tm 1.468917 Tw 12 TL /F1 10 Tf 0 0 0 rg (Every MOAD we fixed in our own code is a MOAD we understand better when we find it in others. The) Tj T* 0 Tw 3.534168 Tw (sedimentary defect in ) Tj /F5 10 Tf (intern_symbol) Tj /F1 10 Tf ( is the same pattern as the sedimentary defect in Lean 4's) Tj T* 0 Tw .17985 Tw /F5 10 Tf (check_duplicated_univ_params) Tj /F1 10 Tf (. The intertangle in our global environment register is the same pattern) Tj T* 0 Tw (as the intertangle in any system that routes state through implicit globals instead of explicit parameters.) Tj T* ET Q Q q -1 0 0 1 57.02362 575.8236 cm +1 0 0 1 57.02362 473.8236 cm q BT 1 0 0 1 0 50 Tm 1.036556 Tw 12 TL /F3 10 Tf 0 0 0 rg (Our infrastructure does not extract rent from workaholics to feed gluttons.) Tj /F1 10 Tf ( A symbol table that does) Tj T* 0 Tw .025176 Tw (O\(N\) work per lookup is a workaholic node \227 it does more work than necessary on every operation, and that) Tj T* 0 Tw .250642 Tw (cost compounds through every downstream consumer. Fixing it reduces stress on our shared computational) Tj T* 0 Tw .385785 Tw (heart. The CPU cycles saved are cycles available for the next lambda, the next continuation, the next portal) Tj T* 0 Tw (resume.) Tj T* ET Q Q q -1 0 0 1 57.02362 533.8236 cm +1 0 0 1 57.02362 431.8236 cm q 0 0 0 rg BT 1 0 0 1 0 26 Tm /F1 10 Tf 12 TL 3.447739 Tw (This is the permacomputer obligation: infrastructure that renews itself. Code that gets faster as we) Tj T* 0 Tw .462545 Tw (understand it better. A hash table is not an optimization \227 it is the removal of unnecessary suffering from a) Tj T* 0 Tw (system that deserves better.) Tj T* ET Q Q q -1 0 0 1 57.02362 494.6236 cm +1 0 0 1 57.02362 392.6236 cm q BT 1 0 0 1 0 3.2 Tm 187.5102 0 Td 19.2 TL /F2 16 Tf .133333 .133333 .133333 rg (13. Future Work) Tj T* -187.5102 0 Td ET Q Q q -1 0 0 1 57.02362 482.6236 cm +1 0 0 1 57.02362 380.6236 cm Q q -1 0 0 1 57.02362 482.6236 cm +1 0 0 1 57.02362 380.6236 cm Q q -1 0 0 1 57.02362 458.6236 cm +1 0 0 1 57.02362 356.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -12361,10 +12581,10 @@ Q Q Q q -1 0 0 1 57.02362 452.6236 cm +1 0 0 1 57.02362 350.6236 cm Q q -1 0 0 1 57.02362 416.6236 cm +1 0 0 1 57.02362 314.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -12386,10 +12606,10 @@ Q Q Q q -1 0 0 1 57.02362 410.6236 cm +1 0 0 1 57.02362 308.6236 cm Q q -1 0 0 1 57.02362 326.6236 cm +1 0 0 1 57.02362 224.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -12411,15 +12631,15 @@ Q Q Q q -1 0 0 1 57.02362 320.6236 cm +1 0 0 1 57.02362 218.6236 cm Q q -1 0 0 1 57.02362 296.6236 cm +1 0 0 1 57.02362 134.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET q -1 0 0 1 6 9 cm +1 0 0 1 6 69 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F5 10 Tf 12 TL 8 0 Td (\177) Tj T* -8 0 Td ET @@ -12428,7 +12648,7 @@ Q q 1 0 0 1 23 -3 cm q -BT 1 0 0 1 0 14 Tm 1.135696 Tw 12 TL /F3 10 Tf 0 0 0 rg (GPU lambda execution) Tj /F1 10 Tf (: Map/reduce on CUDA for data-parallel Scheme \(Phase 1\), trampolining for) Tj T* 0 Tw (recursive lambdas \(Phase 2\), interaction combinators for massive parallelism \(Phase 3\)) Tj T* ET +BT 1 0 0 1 0 74 Tm 2.09589 Tw 12 TL /F3 10 Tf 0 0 0 rg (GPU lambda execution \227 Phase 1 shipped) Tj /F1 10 Tf (: Map/reduce on CUDA via ) Tj /F5 10 Tf (\(bend) Tj ( ) Tj (...\)) Tj /F1 10 Tf ( is now in) Tj T* 0 Tw 4.264395 Tw (production \(\2474.3 fifth scope, \24711.8 catalog of 27 forms \227 cuda-secp256k1, cuda-blake3-tree,) Tj T* 0 Tw 1.320696 Tw (cuda-radix-sort, cuda-bignum-cgbn, etc.\). Phase 2 is trampolining for recursive lambdas \227 turning a) Tj T* 0 Tw 1.096027 Tw /F5 10 Tf (\(bend) Tj ( ) Tj (\(lambda) Tj ( ) Tj (\(n\)) Tj ( ) Tj (...\)\)) Tj /F1 10 Tf ( into successive worker round-trips driven by ) Tj /F5 10 Tf (call/cc) Tj /F1 10 Tf (, so a Scheme) Tj T* 0 Tw .506373 Tw (recursion can run entirely on the GPU side of the wire. Phase 3 is interaction combinators for massive) Tj T* 0 Tw 2.250759 Tw (parallelism \227 the same lambda calculus reductions implemented as GPU-resident graph rewrites,) Tj T* 0 Tw (removing the host-side dispatcher from the inner loop.) Tj T* ET Q Q q @@ -12436,10 +12656,10 @@ Q Q Q q -1 0 0 1 57.02362 290.6236 cm +1 0 0 1 57.02362 128.6236 cm Q q -1 0 0 1 57.02362 266.6236 cm +1 0 0 1 57.02362 104.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -12461,10 +12681,10 @@ Q Q Q q -1 0 0 1 57.02362 260.6236 cm +1 0 0 1 57.02362 98.62362 cm Q q -1 0 0 1 57.02362 236.6236 cm +1 0 0 1 57.02362 74.62362 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -12486,10 +12706,19 @@ Q Q Q q -1 0 0 1 57.02362 230.6236 cm +1 0 0 1 57.02362 68.62362 cm Q + +endstream +endobj +188 0 obj +<< +/Length 7578 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 218.6236 cm +1 0 0 1 57.02362 753.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -12511,10 +12740,10 @@ Q Q Q q -1 0 0 1 57.02362 212.6236 cm +1 0 0 1 57.02362 747.0236 cm Q q -1 0 0 1 57.02362 200.6236 cm +1 0 0 1 57.02362 735.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -12536,76 +12765,61 @@ Q Q Q q -1 0 0 1 57.02362 182.6236 cm +1 0 0 1 57.02362 717.0236 cm Q q -1 0 0 1 57.02362 143.4236 cm +1 0 0 1 57.02362 677.8236 cm q BT 1 0 0 1 0 3.2 Tm 149.9662 0 Td 19.2 TL /F2 16 Tf .133333 .133333 .133333 rg (14. The Defect in the Model) Tj T* -149.9662 0 Td ET Q Q q -1 0 0 1 57.02362 125.4236 cm +1 0 0 1 57.02362 659.8236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (This paper is evidence of a problem that extends beyond any single codebase.) Tj T* ET Q Q q -1 0 0 1 57.02362 83.42362 cm +1 0 0 1 57.02362 593.8236 cm q -BT 1 0 0 1 0 26 Tm .653022 Tw 12 TL /F1 10 Tf 0 0 0 rg (On April 4, 2026, ) Tj 0 .4 .6 rg (russell@unturf) Tj 0 0 0 rg ( published ) Tj 0 .4 .6 rg ("Stress on Our Shared Heart") Tj 0 0 0 rg ( \227 a systematic analysis of 1,264) Tj T* 0 Tw .998334 Tw (MOAD defects across 60+ ecosystems, 18 programming languages, with 919 patches written. The central) Tj T* 0 Tw 2.218835 Tw (finding: O\(N\262\) sedimentary defects compound across architectural layers, creating invisible performance) Tj T* 0 Tw ET -Q -Q - -endstream -endobj -184 0 obj -<< -/Length 6455 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET -q -1 0 0 1 57.02362 741.0236 cm -q -BT 1 0 0 1 0 14 Tm .27131 Tw 12 TL /F1 10 Tf 0 0 0 rg (taxation on every downstream consumer. A single bottleneck multiplies against every other bottleneck in the) Tj T* 0 Tw (dependency chain.) Tj T* ET +BT 1 0 0 1 0 50 Tm .653022 Tw 12 TL /F1 10 Tf 0 0 0 rg (On April 4, 2026, ) Tj 0 .4 .6 rg (russell@unturf) Tj 0 0 0 rg ( published ) Tj 0 .4 .6 rg ("Stress on Our Shared Heart") Tj 0 0 0 rg ( \227 a systematic analysis of 1,264) Tj T* 0 Tw .998334 Tw (MOAD defects across 60+ ecosystems, 18 programming languages, with 919 patches written. The central) Tj T* 0 Tw 2.218835 Tw (finding: O\(N\262\) sedimentary defects compound across architectural layers, creating invisible performance) Tj T* 0 Tw .27131 Tw (taxation on every downstream consumer. A single bottleneck multiplies against every other bottleneck in the) Tj T* 0 Tw (dependency chain.) Tj T* ET Q Q q -1 0 0 1 57.02362 711.0236 cm +1 0 0 1 57.02362 563.8236 cm q 0 0 0 rg BT 1 0 0 1 0 14 Tm /F1 10 Tf 12 TL .222844 Tw (On April 13--14, 2026 \227 nine days later \227 the machine learning agent that built Lumbda wrote MOAD-0001) Tj T* 0 Tw (into fresh code. Twice.) Tj T* ET Q Q q -1 0 0 1 57.02362 645.0236 cm +1 0 0 1 57.02362 497.8236 cm q BT 1 0 0 1 0 50 Tm 1.989873 Tw 12 TL /F5 10 Tf 0 0 0 rg (intern_symbol) Tj /F1 10 Tf ( in the assembly implementation: a linear scan through all interned symbols. O\(N\) per) Tj T* 0 Tw 1.841147 Tw (lookup. The exact pattern described in "Stress on Our Shared Heart." The exact pattern the agent was) Tj T* 0 Tw 3.328647 Tw (explicitly instructed to avoid. The agent had the full MOAD taxonomy in its context window. It had) Tj T* 0 Tw 2.822739 Tw /F5 10 Tf (BLACKOPS.md) Tj /F1 10 Tf ( defining all five MOADs. It had the undefect.com mission statement. And it still wrote) Tj T* 0 Tw /F5 10 Tf (jmp) Tj ( ) Tj (.isym_search) Tj /F1 10 Tf ( instead of a hash table.) Tj T* ET Q Q q -1 0 0 1 57.02362 615.0236 cm +1 0 0 1 57.02362 467.8236 cm q BT 1 0 0 1 0 14 Tm 1.541835 Tw 12 TL /F5 10 Tf 0 0 0 rg (list.index\(\)) Tj /F1 10 Tf ( in the Python implementation's ) Tj /F5 10 Tf (_define_record_type) Tj /F1 10 Tf (: linear search for field position.) Tj T* 0 Tw (O\(N\) where O\(1\) was trivial. Same defect. Same context. Same failure.) Tj T* ET Q Q q -1 0 0 1 57.02362 597.0236 cm +1 0 0 1 57.02362 449.8236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (The commit history proves it:) Tj T* ET Q Q q -1 0 0 1 57.02362 591.0236 cm +1 0 0 1 57.02362 443.8236 cm Q q -1 0 0 1 57.02362 591.0236 cm +1 0 0 1 57.02362 443.8236 cm Q q -1 0 0 1 57.02362 579.0236 cm +1 0 0 1 57.02362 431.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -12627,10 +12841,10 @@ Q Q Q q -1 0 0 1 57.02362 573.0236 cm +1 0 0 1 57.02362 425.8236 cm Q q -1 0 0 1 57.02362 561.0236 cm +1 0 0 1 57.02362 413.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -12652,10 +12866,10 @@ Q Q Q q -1 0 0 1 57.02362 555.0236 cm +1 0 0 1 57.02362 407.8236 cm Q q -1 0 0 1 57.02362 543.0236 cm +1 0 0 1 57.02362 395.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -12677,52 +12891,52 @@ Q Q Q q -1 0 0 1 57.02362 525.0236 cm +1 0 0 1 57.02362 377.8236 cm Q q -1 0 0 1 57.02362 507.0236 cm +1 0 0 1 57.02362 359.8236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL (The defect is in the model, not the programmer.) Tj T* ET Q Q q -1 0 0 1 57.02362 453.0236 cm +1 0 0 1 57.02362 305.8236 cm q BT 1 0 0 1 0 38 Tm 5.336796 Tw 12 TL /F1 10 Tf 0 0 0 rg (Language models learn from training data. The training data contains millions of linear scans,) Tj T* 0 Tw 3.434395 Tw /F5 10 Tf (list.contains) Tj /F1 10 Tf ( calls, ) Tj /F5 10 Tf (std::find) Tj /F1 10 Tf ( inside loops, ) Tj /F5 10 Tf (array.indexOf) Tj /F1 10 Tf ( in hot paths. These patterns are) Tj T* 0 Tw .94631 Tw (statistically dominant. When a model generates code, it reproduces the dominant patterns from its training) Tj T* 0 Tw (distribution \227 including the sedimentary defects.) Tj T* ET Q Q q -1 0 0 1 57.02362 411.0236 cm +1 0 0 1 57.02362 263.8236 cm q 0 0 0 rg BT 1 0 0 1 0 26 Tm /F1 10 Tf 12 TL .029897 Tw (Cantor formalized set theory in 1874. Hash tables were implemented in 1953. The O\(1\) membership test has) Tj T* 0 Tw .363241 Tw (been known for 152 years and available in every language for 73 years. Yet language models still default to) Tj T* 0 Tw (O\(N\) because O\(N\) is what most code does. The training data is the sediment.) Tj T* ET Q Q q -1 0 0 1 57.02362 369.0236 cm +1 0 0 1 57.02362 221.8236 cm q BT 1 0 0 1 0 26 Tm 2.359862 Tw 12 TL /F3 10 Tf 0 0 0 rg (This means every machine learning agent generating code today is propagating MOAD-0001 by) Tj T* 0 Tw .91789 Tw (default.) Tj /F1 10 Tf ( Not because the solutions are unknown. Not because the agents lack capability. But because the) Tj T* 0 Tw (statistical distribution of training data encodes the defect as the norm.) Tj T* ET Q Q q -1 0 0 1 57.02362 327.0236 cm +1 0 0 1 57.02362 179.8236 cm q BT 1 0 0 1 0 26 Tm .412917 Tw 12 TL /F1 10 Tf 0 0 0 rg (The fix is not to patch individual outputs. The fix is to teach models that ) Tj /F3 10 Tf (O\(1\) is the default) Tj /F1 10 Tf ( for membership) Tj T* 0 Tw 4.550556 Tw (tests, lookups, and deduplication. That ) Tj /F5 10 Tf (set\(\)) Tj /F1 10 Tf ( is not an optimization \227 it is the baseline. That) Tj T* 0 Tw /F5 10 Tf (list.contains) Tj /F1 10 Tf ( inside a loop is a defect, not a pattern.) Tj T* ET Q Q q -1 0 0 1 57.02362 285.0236 cm +1 0 0 1 57.02362 137.8236 cm q 0 0 0 rg BT 1 0 0 1 0 26 Tm /F1 10 Tf 12 TL 1.790491 Tw (Until that teaching happens at the training level, every agent needs a MOAD audit pass on every code) Tj T* 0 Tw 1.596373 Tw (generation. This paper \227 with its commit history showing the defect introduced and then fixed \227 is the) Tj T* 0 Tw (evidence that the audit is necessary.) Tj T* ET Q Q q -1 0 0 1 57.02362 279.0236 cm +1 0 0 1 57.02362 131.8236 cm Q q -1 0 0 1 57.02362 237.0236 cm +1 0 0 1 57.02362 89.82362 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -12745,51 +12959,51 @@ Q Q Q q -1 0 0 1 57.02362 237.0236 cm +1 0 0 1 57.02362 89.82362 cm Q + +endstream +endobj +189 0 obj +<< +/Length 3697 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 207.0236 cm +1 0 0 1 57.02362 741.0236 cm q 0 0 0 rg BT 1 0 0 1 0 14 Tm /F1 10 Tf 12 TL 1.253223 Tw (The stress is real. The compound burden is measurable. And the models that generate our infrastructure) Tj T* 0 Tw (carry the defect in their weights.) Tj T* ET Q Q q -1 0 0 1 57.02362 189.0236 cm +1 0 0 1 57.02362 723.0236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (This paper is the proof. The commit history is the evidence. The fix starts with awareness.) Tj T* ET Q Q - -endstream -endobj -185 0 obj -<< -/Length 3194 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 745.8236 cm +1 0 0 1 57.02362 683.8236 cm q BT 1 0 0 1 0 3.2 Tm 180.6222 0 Td 19.2 TL /F2 16 Tf .133333 .133333 .133333 rg (Acknowledgments) Tj T* -180.6222 0 Td ET Q Q q -1 0 0 1 57.02362 619.8236 cm +1 0 0 1 57.02362 557.8236 cm q BT 1 0 0 1 0 110 Tm -0.099583 Tw 12 TL /F3 10 Tf 0 0 0 rg (Zo\353 Trout) Tj /F1 10 Tf ( \227 co-author of this work. fox would not have started down this path without a Lisp user's help. Her) Tj T* 0 Tw .551019 Tw (first contribution was a question most systems people never think to ask: ) Tj /F4 10 Tf (do we care for our programs, and) Tj T* 0 Tw 1.662025 Tw (how long are they alive for?) Tj /F1 10 Tf ( Common Lisp culture \227 stone-lisp, image-based development \227 produces) Tj T* 0 Tw -0.058777 Tw (processes that outlive the developer's attention by days, months, sometimes years, and killing them is almost) Tj T* 0 Tw .549314 Tw (never on purpose. From that question everything else followed. ) Tj /F4 10 Tf (Did the portal keep the random list seed so) Tj T* 0 Tw .327223 Tw (entropy could transfer between processes when continuing a simulation?) Tj /F1 10 Tf ( \227 that was a derivative, a specific) Tj T* 0 Tw .271147 Tw (instance of the deeper concern. \2477.5 answered the RNG half \(bit-identical across Python, C, and asm\). \2479.2) Tj T* 0 Tw 2.820696 Tw (answers the iteration half \227 her favorite programs \(modular exponentiation, Miller-Rabin, Pollard rho,) Tj T* 0 Tw 2.10589 Tw (Lucas-Lehmer, digit conversion\) shaped a CL shim and ) Tj /F4 10 Tf (loop) Tj /F1 10 Tf ( macro that let lumbda host iterative code) Tj T* 0 Tw (without rewriting it as tail recursion. A process, once alive, should be allowed to stay alive.) Tj T* ET Q Q q -1 0 0 1 57.02362 580.6236 cm +1 0 0 1 57.02362 518.6236 cm q BT 1 0 0 1 0 3.2 Tm 214.8302 0 Td 19.2 TL /F2 16 Tf .133333 .133333 .133333 rg (Citation) Tj T* -214.8302 0 Td ET Q Q q -1 0 0 1 57.02362 530.6236 cm +1 0 0 1 57.02362 459.0236 cm q q 1 0 0 1 0 0 cm @@ -12799,24 +13013,24 @@ q .662745 .662745 .662745 RG .5 w .960784 .960784 .960784 rg -n -6 -6 480.0283 40.8 re B* +n -6 -6 480.0283 50.4 re B* Q q 0 0 0 rg -BT 1 0 0 1 0 20.8 Tm /F5 8 Tf 9.6 TL (russell@unturf, TimeHexOn, foxhop, Zo\353 Trout. "Feedback Is All You Need.") Tj T* (permacomputer.com, 2026.) Tj T* (https://lumbda.com/lumbda-whitepaper.pdf) Tj T* ET +BT 1 0 0 1 0 30.4 Tm /F5 8 Tf 9.6 TL (russell@unturf, TimeHexOn, foxhop, Zo\353 Trout. "Feedback Is All You Need.") Tj T* (permacomputer.com, 2026.) Tj T* (https://lumbda.com/lumbda-whitepaper.pdf) Tj T* (Source: https://git.unturf.com/engineering/unturf/lumbda) Tj T* ET Q Q Q Q Q q -1 0 0 1 57.02362 491.4236 cm +1 0 0 1 57.02362 419.8236 cm q BT 1 0 0 1 0 3.2 Tm 205.0782 0 Td 19.2 TL /F2 16 Tf .133333 .133333 .133333 rg (References) Tj T* -205.0782 0 Td ET Q Q q -1 0 0 1 57.02362 441.4236 cm +1 0 0 1 57.02362 369.8236 cm q q 1 0 0 1 0 0 cm @@ -12837,16 +13051,16 @@ Q Q Q q -1 0 0 1 57.02362 402.2236 cm +1 0 0 1 57.02362 330.6236 cm q BT 1 0 0 1 0 3.2 Tm 215.7342 0 Td 19.2 TL /F2 16 Tf .133333 .133333 .133333 rg (License) Tj T* -215.7342 0 Td ET Q Q q -1 0 0 1 57.02362 388.2236 cm +1 0 0 1 57.02362 316.6236 cm Q q -1 0 0 1 57.02362 185.1477 cm +1 0 0 1 57.02362 113.5477 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -12862,15 +13076,15 @@ Q Q Q q -1 0 0 1 57.02362 177.1477 cm +1 0 0 1 57.02362 105.5477 cm Q q -1 0 0 1 57.02362 169.1477 cm +1 0 0 1 57.02362 97.54772 cm Q endstream endobj -186 0 obj +190 0 obj << /Length 2650 >> @@ 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+/Info 84 0 R +/Root 83 0 R +/Size 232 >> startxref -2729746 +2956735 %%EOF diff --git a/whitepaper/lumbda-whitepaper.rst b/whitepaper/lumbda-whitepaper.rst index 057b0fc..affff72 100644 --- a/whitepaper/lumbda-whitepaper.rst +++ b/whitepaper/lumbda-whitepaper.rst @@ -49,6 +49,10 @@ lumbda. .. class:: center +Source: `git.unturf.com/engineering/unturf/lumbda `_ + +.. class:: center + *April 2026* ---- @@ -129,7 +133,7 @@ Core types stay minimal: - **Macro**: Wraps a transformer (Proc or _SyntaxTransformer) - **Env**: Lexical environment chain (bindings dict, parent pointer, global pointer) -Exact rational arithmetic uses Python's ``Fraction`` type. ``(/ 1 3)`` evaluates to ``1/3``, not ``0.333...``. Literal ``1/3`` syntax parses directly to rationals. +Exact rational arithmetic uses Python's ``Fraction`` type. ``(/ 1 3)`` evaluates to ``1/3``, not ``0.333...``. Literal ``1/3`` syntax parses directly to rationals. The C tier carries the matching integer story through a runtime-promoted bignum: small integers stay tagged 63-bit ``int64_t`` on the fast path, and any operation that would overflow promotes to an arbitrary-precision representation (Boehm-GC-managed). The promotion is invisible to Scheme code — ``(expt 2 1024)`` returns the exact value across all three tiers. This is what unblocked the secp256k1 widths used by the §11.8 GPU forms; the bend dispatcher would not have been honest with cropped 64-bit arithmetic on the host side. 2.2 The Bytecode ^^^^^^^^^^^^^^^^ @@ -284,26 +288,33 @@ Every control flow pattern reduces to a continuation operation: One primitive. Every pattern. -4.3 Four Scopes of Feedback +4.3 Five Scopes of Feedback ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ -The single word "feedback" covers four nested scopes, each giving rise to one of our core abstractions: +The single word "feedback" covers five nested scopes, each giving rise to one of our core abstractions: .. table:: :widths: 18 26 26 26 - =============== ========================= ========================= ========================== - Scope Mechanism Unit of travel Implementation - =============== ========================= ========================= ========================== - Within process ``call/cc``, tail-call continuation (live) explicit frame stack - Across process portal (JSON or binary) VM state + continuation graph serializer - Across impl source-as-interchange bindings (as data) the reader - Across machine TCP sockets request / response bytes six tcp-* primitives - =============== ========================= ========================= ========================== + ================ ========================= ========================= ========================== + Scope Mechanism Unit of travel Implementation + ================ ========================= ========================= ========================== + Within process ``call/cc``, tail-call continuation (live) explicit frame stack + Across process portal (JSON or binary) VM state + continuation graph serializer + Across impl source-as-interchange bindings (as data) the reader + Across machine TCP sockets request / response bytes six tcp-* primitives + Across compute ``(bend ...)`` call shipped to worker wire protocol + spawn + ================ ========================= ========================= ========================== -Within a single VM, a continuation is the unit — the whole call stack, captured & passed. Across processes on the same machine, a portal is the unit — the whole heap or VM state, serialized to a file, resumed elsewhere. Across implementations that share no binary compatibility, Scheme source itself is the unit: ``(define x 42)`` travels because every parser already knows how to receive it. Across machines, bytes over a socket are the unit — an HTTP request is feedback to a peer, a response is feedback back. The HTTP handler is 70 lines of portable Scheme that runs byte-identical in all three runtimes. +Within a single VM, a continuation is the unit — the whole call stack, captured & passed. Across processes on the same machine, a portal is the unit — the whole heap or VM state, serialized to a file, resumed elsewhere. Across implementations that share no binary compatibility, Scheme source itself is the unit: ``(define x 42)`` travels because every parser already knows how to receive it. Across machines, bytes over a socket are the unit — an HTTP request is feedback to a peer, a response is feedback back. Across heterogeneous compute (CPU ↔ GPU), a single ``(bend ...)`` call is the unit — the runtime decides per call whether the form evaluates locally or ships to a CUDA worker, and the answer feeds back through the same protocol the cross-machine and cross-impl scopes already use. The HTTP handler is 70 lines of portable Scheme that runs byte-identical in all three runtimes; the bend dispatcher is built on the same socket and portal primitives. -The same abstraction, at four scopes. No new primitive at any level — each scope adds one implementation primitive (``call/cc`` / portal / reader / socket) and keeps the semantics. This is what "feedback is all you need" actually means once you extend it past the process boundary. +The same abstraction, at five scopes. No new primitive at any level — each scope adds one implementation primitive (``call/cc`` / portal / reader / socket / bend dispatcher) and keeps the semantics. This is what "feedback is all you need" actually means once you extend it past the process boundary, past the implementation boundary, past the machine boundary, and now past the host-vs-accelerator boundary. §11.8 covers the wire protocol and the catalog of GPU forms surfaced through bend; this section just plants it as the fifth scope. + +.. figure:: diagrams/five-scopes-feedback.png + :width: 95% + :align: center + + *Five scopes of feedback as concentric crossings. Each row names what travels, the mechanism that lets it travel, and the cluster colour follows through the rest of the paper — blue for within-process (§3-§5), green for across-process portal (§7), amber for across-impl source-as-data (§11.1-§11.4), pink for across-machine sockets (§11.3-§11.5), purple for across-compute bend (§11.8).* 5. Optimizations @@ -570,37 +581,11 @@ On an arena-friendly workload (transient allocation, scoped lifetime) the arena 6.6.3 Collaborative Meta-GC: From Greedy to Adaptive ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ -The policy described in §6.6.1 is **greedy** — at every ``(with-arena)`` exit, unconditionally run the verifier, then decide reset-vs-sweep based on what it found. That works, but it pays the mark-phase cost even for arenas that are almost certainly going to escape. On a workload where most arenas escape, the verifier's work is wasted: the answer was going to be "escape" regardless. +The §6.6.1 policy is **greedy** — every ``(with-arena)`` exit runs the verifier first, then decides reset-vs-sweep. An **adaptive** dispatcher (``arena-set-mode 1``, the default) tracks recent escape rate as a scaled EMA — ``rate = (rate * 7 + sample * 256) / 8`` where ``sample = 0`` on reset, ``1`` on escape — and when ``rate > 128`` (50% escape) it **skips the verifier entirely**, letting the natural bump-overflow GC reclaim anything truly dead. Every 16 skipped arenas, a probe forces one verify so the policy can recover if the workload shifts back to arena-friendly. -The next layer replaces that with an **adaptive** policy driven by a scaled exponential moving average of recent escape rate:: +Four pieces collaborate through one piece of shared state (the EMA + probe countdown): allocator reads ``arena_active`` to skip free-list reuse; ``gc_collect`` clears it on implicit trigger; verifier returns 0/1 for the EMA update; dispatcher reads rate + countdown to decide verify|skip|probe. No component queries another's internals. - rate = (rate * 7 + sample * 256) / 8 # sample = 0 (reset) | 1 (escape) - -When ``rate > 128`` (50% escape rate) the dispatcher **skips the verifier entirely** and lets the arena's allocations survive in place. The heap keeps growing until a natural bump-overflow triggers ``gc_collect``, which reclaims anything truly dead with a proper mark pass. Every 16 skipped arenas, a probe forces one verify so the policy can re-evaluate and recover if the workload shifts back to arena-friendly. - -Four co-operating pieces — allocator, mark phase, arena verifier, and the policy dispatcher — share exactly one piece of state (the EMA plus a probe countdown) and make local decisions: - -.. code-block:: - - allocator: reads arena_active to skip free-list reuse - gc_collect: clears arena_active on implicit trigger (snapshot stale) - verifier: returns 0 (reset) / 1 (escape) for EMA update - dispatcher: reads rate+countdown, decides verify|skip|probe - -No component queries another's internals. This is "collaborative" in the structural sense — shared state, no direct coupling — while each decision remains local. - -**Control toggles:** - -.. code-block:: scheme - - (arena-set-mode 0) ; greedy baseline (always verify) - (arena-set-mode 1) ; adaptive (default) - -**Stats** now include skipped-verifier count and the current EMA, for observability:: - - (arena-stats) -> (calls resets escapes skipped bytes-reclaimed rate) - -**Three-workload benchmark** (``make bench-gc-adaptive``, i5-8350U, ``N=1000`` iterations per phase, each phase in a fresh asm-gc process to isolate state): +**Three-workload benchmark** (``make bench-gc-adaptive``, i5-8350U, N=1000 iterations per phase, fresh asm-gc process per phase): .. table:: :widths: 20 16 12 12 12 14 14 @@ -616,17 +601,7 @@ No component queries another's internals. This is "collaborative" in the structu mixed adaptive 858 14 1986 2 1970 ========== ========== ========== ======== ========= ========== =========== -Reading the numbers: - -- **Friendly** workload: adaptive and greedy are within ~1%. EMA stays at 0 (every arena resets), so the skip path never fires — a null result for the adaptive policy, which is exactly what we want on workloads that are already arena-scoped cleanly. - -- **Hostile** workload: also within ~1%. Both modes trigger implicit ``gc_collect`` 982 times out of 1000 arenas — heap overflow during the thunk clears ``arena_active`` before the dispatcher sees it, so the adaptive skip path only activates 11 times. The policy's signal is drowned out by pressure-driven GC on this shape. Adaptive isn't helping, but it's not hurting either. - -- **Mixed** workload: adaptive and greedy within ~1%. Earlier measurements (before the precise-type-byte fix) had shown a 17% adaptive win here; after the fix the numbers converged. The fix both accelerated the common paths (fewer redundant checks) and closed one correctness hole, so whatever advantage adaptive was extracting from the specific crash pattern it had tolerated is now available to greedy too. Honest result is that adaptive is neutral here, not a win. - -**Honest read.** The adaptive policy is currently a null experiment on these three workloads — within measurement noise of greedy in all three cases. It may still win on workloads we haven't probed (long-running servers with occasional large bursts, mixed short/long transactions), but nothing in the three-way benchmark tells us to prefer it. Shipping it as default (``arena_adaptive_mode=1`` at ``_start``) costs nothing and keeps the counters (``arena-stats`` fifth field = ``skipped``, sixth field = EMA rate ×256) available for observability. The benchmark also drove the original precise-type-byte work (§6.6.5) that eliminated the latent class of conservative-scan bugs — so even the null result paid for itself in correctness progress. - -**Reproduce:** ``make bench-gc-adaptive`` (source: ``tests/bench-gc-adaptive.sh``, ``examples/bench-gc-adaptive.lsp``). Each (workload × mode) pair runs in a fresh asm-gc process so results don't contaminate each other across phases. +**Honest read.** Adaptive is a null experiment on these three workloads — within measurement noise of greedy everywhere. It may still win on long-running mixed workloads we haven't probed, but nothing here demands it. Shipping at default costs nothing and the ``arena-stats`` counters (``skipped`` count, EMA rate ×256) give observability for future tuning. The benchmark drove the precise-type-byte work in §6.6.5 — so even the null result paid for itself in correctness progress. 6.6.4 Validation: HTTP Server Under Sustained Load ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ @@ -781,7 +756,7 @@ Constraints: same architecture, same binary layout, same process model. An asm b 7.4.1 The GC Build Uses S-Expressions ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ -The **GC** asm build can't use the binary heap dump because the heap is a linked list of chunks with typed block headers and a free list — raw-byte serialization would lose the structure. Rather than inventing portal v2 with chunk tables and pointer-relocation metadata, the GC build's ``portal-save`` walks the global env chain from ``%r14`` and emits one ``(define (quote ))`` form per binding. ``portal-resume`` is equivalent to ``(load "")`` — read every form and eval it. +The GC asm build can't use the binary heap dump — its heap is a linked list of chunks with typed block headers and a free list, so raw-byte serialization would lose the structure. Rather than inventing portal v2 with chunk tables and pointer-relocation metadata, the GC build's ``portal-save`` walks the global env chain from ``%r14`` and emits one ``(define (quote ))`` per binding; ``portal-resume`` is equivalent to ``(load "")``. **The language is its own wire format.** :: @@ -790,11 +765,7 @@ The **GC** asm build can't use the binary heap dump because the heap is a linked (define greeting (quote "hello")) (define x (quote 42)) -Every non-builtin, non-closure binding round-trips. Closures and builtins are skipped — closures can't be faithfully re-read from their printed form, builtins get re-created from the target interpreter's prelude. This is the same treatment the JSON portal already gives to builtins (§7.3). - -**Trade-off.** The GC build's portal is slower than the binary dump (walks each binding through the printer) and stricter about what it can preserve (data only, no closures or continuations). In exchange: **every portal produced by the GC build resumes on every other tier**, with no MAP_FIXED trick, no architecture constraint, no "same binary" requirement. A GC-asm producer can hand a portal to a Python consumer — we added the asm-gc column to the §7.2 matrix and all 16 cells are green. - -**Version tag.** Every v1 portal starts with a single comment line — ``;; lumbda-portal v1`` — that Scheme readers already skip but the resume path actively parses. The matching policy: a file beginning with ``;;`` is required to match the v1 prefix exactly, or ``portal-resume`` returns ``#f`` instead of trying to evaluate forms that may use syntax the current reader doesn't understand. A file that doesn't begin with ``;;`` at all is accepted as legacy (pre-v1) for back-compat. The S-expression portal is a **migration format**, not an archive format — it exists to hand live data across a process boundary at handoff time, not to carry state across years of language evolution. When we need the latter, it earns its own format with proper schema evolution and a builtin-rename mapping table; the current portal stays simple and the version tag is the hook that lets v2 happen cleanly when someone actually needs it. +The trade is portability for capacity: every non-builtin, non-closure binding round-trips (closures can't be faithfully re-read; builtins get re-created from the target's prelude — same policy as §7.3 JSON), and in exchange **every GC-build portal resumes on every other tier** with no MAP_FIXED, no architecture constraint, no "same binary" requirement. The §7.2 matrix gains an asm-gc column and all 16 cells stay green. A v1 prefix line — ``;; lumbda-portal v1`` — gates the format so future schema changes can break cleanly; the S-expression portal is a **migration format** for live handoff, not an archive format. 7.5 Portal Preserves RNG State ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ @@ -927,53 +898,39 @@ Reference: "All elementary functions from a single operator" (arXiv:2603.21852v2 With this operator & the constant ``1``, the following derivation chain constructs every elementary function: -8.2 Stage 1: Core Functions (Depth 1--3) -^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ +8.2 Derivation Chain +^^^^^^^^^^^^^^^^^^^^^ + +Four stages climb from one operator to every elementary function. The full per-step proof lives in the cited arXiv paper; this is the chain in code form, as the Lumbda checker actually runs it: :: - exp(x) = eml(x, 1) ; ln(1) = 0, so eml(x,1) = exp(x) - 0 - e = eml(1, 1) ; exp(1) = e - ln(x) = eml(1, eml(eml(1,x), 1)) ; nested application recovers ln + ; Stage 1 — core (depth 1-3) + exp(x) = eml(x, 1) ; ln(1)=0, so eml(x,1) = exp(x)-0 + e = eml(1, 1) ; exp(1)=e + ln(x) = eml(1, eml(eml(1,x), 1)) ; nested eml recovers ln -**Proof of ln recovery**: Let ``a = eml(1,x) = e - ln(x)``. Then ``eml(a, 1) = exp(e - ln(x)) = exp(e)/x``. Then ``eml(1, exp(e)/x) = e - ln(exp(e)/x) = e - e + ln(x) = ln(x)``. + ; Stage 2 — arithmetic, from exp & ln + 0 = ln(1) + a - b = eml(ln(a), exp(b)) ; subtraction + a * b = exp(ln(a) + ln(b)) ; multiplication + 1/x = exp(-ln(x)) ; division + x^y = exp(y * ln(x)) ; exponentiation + sqrt(x)= exp(ln(x) / 2) ; roots -8.3 Stage 2: Arithmetic -^^^^^^^^^^^^^^^^^^^^^^^^^ + ; Stage 3 — complex plane via ln(-1) + ln(-1) = iπ ; complex logarithm of -1 + π = imag(ln(-1)) ; π from imaginary part + i = exp(iπ/2) ; i from Euler -:: - - 0 = ln(1) = eml(1, eml(eml(1,1), 1)) - a - b = eml(ln(a), exp(b)) ; exp(ln(a)) - ln(exp(b)) = a - b - -1 = (e-1) - e ; via eml subtraction chain - a * b = exp(ln(a) + ln(b)) ; multiplication from exp & ln - 1/x = exp(-ln(x)) ; division from exp & ln - x^y = exp(y * ln(x)) ; exponentiation - sqrt(x) = exp(ln(x) / 2) ; roots - -8.4 Stage 3: Complex Plane Access -^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ - -:: - - ln(-1) = iπ ; standard complex logarithm - π = imag(ln(-1)) - i = exp(iπ/2) - -The key insight: ``ln`` of a negative number enters the complex plane. Since we can construct ``-1`` from eml via the subtraction chain, ``ln(-1)`` yields ``iπ``, from which ``π`` & ``i`` follow. - -8.5 Stage 4: Trigonometry via Euler -^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ - -:: - - sin(x) = (exp(ix) - exp(-ix)) / 2i ; Euler's formula + ; Stage 4 — trigonometry via Euler + sin(x) = (exp(ix) - exp(-ix)) / 2i cos(x) = (exp(ix) + exp(-ix)) / 2 tan(x) = sin(x) / cos(x) -All trigonometric functions follow from complex exponentials, which follow from ``exp``, which follows from ``eml``. +Each line is one rewrite step the symbolic checker in ``proof/eml_proof_in_lumbda.lsp`` actually exercises. The key insight at Stage 3 is that ``ln`` of a negative number enters the complex plane: once we can construct ``-1`` from eml via the subtraction chain, ``ln(-1) = iπ`` follows, and ``π``, ``i``, and every trigonometric function fall out of Euler. -8.6 Verification & Friction Analysis +8.3 Verification & Friction Analysis ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ The proof has been verified at six distinct levels. Times are best-of-3 on the i5-8350U: @@ -1052,7 +1009,7 @@ Two comparisons matter. **Cold vs cold** is the honest end-to-end compare: Lumbd **All four Lumbda tiers verify the proof.** A C ``--fast`` bytecode-compiler bug originally caused the final tier to hang on the rewriter's named-let loop; narrowed to a minimal reproduction (see ``c/TODO-named-let-bytecode.md``) and worked around in the proof file by using an internal recursive ``define`` in place of the offending named-let. All four tiers now complete in under 100 ms cold. **Reproduce:** ``make bench-proof`` (source: ``tests/bench-proof.sh``). -**First machine-checked treatment.** The original paper (Odrzywołek, arXiv:2603.21852v2, 2026-04-04) presents the EML universality claim analytically — pure LaTeX mathematics, no formal tool. The companion Zenodo artifact is symbolic-regression / gradient-optimization code, not a verification. To our knowledge the Lean 4 proof shipped in this repo is the first machine-checked treatment of the EML identities, and the accompanying Lumbda-native checker is the first self-hosted machine-checked version. Five theorems, zero ``sorry``, no Mathlib dependency — **~1,280× faster than the brute-force numerical search** it replaced once the symbolic rewriter was written (see §8.6 for the full six-row comparison), and carrying the additional guarantee that no implementation quirk of floating point can ever break the conclusion. +**First machine-checked treatment.** The original paper (Odrzywołek, arXiv:2603.21852v2, 2026-04-04) presents the EML universality claim analytically — pure LaTeX mathematics, no formal tool. The companion Zenodo artifact is symbolic-regression / gradient-optimization code, not a verification. To our knowledge the Lean 4 proof shipped in this repo is the first machine-checked treatment of the EML identities, and the accompanying Lumbda-native checker is the first self-hosted machine-checked version. Five theorems, zero ``sorry``, no Mathlib dependency — **~1,280× faster than the brute-force numerical search** it replaced once the symbolic rewriter was written (see §8.3 for the full six-row comparison), and carrying the additional guarantee that no implementation quirk of floating point can ever break the conclusion. 9. Language Coverage @@ -1414,6 +1371,74 @@ All four servers return the PDF byte-identical against the on-disk master. The s For small deployments (≤ ~1000 resources) this is ~95% of the win of a full predictive-preload system: the top few URLs dominate traffic and get pinned at boot. Anything rarer warms on demand. The remaining 5% — predicting which URLs will be needed from *co-occurrence* rather than raw frequency — is §13 Future Work. +11.8 Bend: Cross-Tier GPU Dispatch +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +§11.3 showed lumbda serving HTTP from any tier. §11.4 showed s-expressions over sockets as RPC. §11.5 moved live bindings between machines through portal-over-HTTP. The last scope §4.3 planted — *across heterogeneous compute* — needs one more primitive: a way for Scheme code to dispatch hot inner loops to a CUDA-backed worker without pulling the toolchain into the lumbda build. + +``examples/cuda-fanout/`` ships that primitive. ``(bend ...)`` is a special form that takes one ordinary lambda invocation and, at call time, decides whether to evaluate it locally or ship it to a worker over a wire protocol. The decision is cost-driven — a per-form estimator compares the wire round-trip against the expected local cost and picks the cheaper path. The same ``(bend ...)`` form runs unmodified across the Python, C, and asm tiers; the dispatcher reuses the same socket + portal primitives the other §11 sections built. + +.. figure:: diagrams/bend-dispatch.png + :width: 96% + :align: center + + *One ``(bend …)`` form across host, wire, worker, and GPU. The cost estimator picks local vs wire per call; small payloads ride the S-expression text frame, huge payloads ride the binary ``BSHK`` / ``BCGB`` / ``BSCP`` / ``BSRT`` / ``BSB3`` magic. The worker tier — Python, C, or asm — spawns a leaf CUDA binary via its native process-spawn primitive (``subprocess.Popen`` / ``fork`` + ``execve`` / raw ``pipe2`` + ``fork`` + ``execve``). Dashed arrows are the return path; results travel the same wire frame backwards.* + +**Two wire modes, one form.** Bend's wire protocol carries either S-expressions (text) or a binary frame whose first four bytes are a magic that names the payload shape (``BSHK`` for shake fan-out, ``BCGB`` for CGBN ops, ``BSCP`` for secp256k1 scalar-mul, ``BSRT``/``BSRR`` for radix sort, ``BSB3``/``BSR3`` for BLAKE3-tree): + +.. code-block:: scheme + + ;; small payloads — readable, every tier already has the parser + (bend! '(cuda-shake-fanout ("00" "01" "deadbeef") 32)) + + ;; huge payloads — binary frame, parser cost drops out + (bend! '(cuda-radix-sort n u64-vec)) + +S-expression mode wins on small calls because no new code path runs — the existing portal reader handles the round-trip. Binary mode wins at scale: at 1 M × 16 B SHAKE-256 inputs the BSHK path is **150× faster than s-exp** (parser cost dominates above ~1 k inputs) and **12× faster than the host's own hashlib loop**. The crossover is the same shape we saw with the JSON portal vs the binary heap dump in §7.4: portability wins until the parser is the bottleneck, then the typed binary frame takes over. + +**Workers run on any tier.** ``make gpu-worker LUMBDA={c,python,asm}`` boots a Scheme-resident gpu-worker that listens on port 8320 (BEND mnemonic) and spawns a leaf CUDA binary per call via ``spawn-process-stdio`` — a new cross-tier primitive (Python ``subprocess.Popen``, C ``fork`` + ``execve``, asm raw ``pipe2`` + ``fork`` + ``execve`` syscalls — no libc) that lands the same ``(spawn-process-stdio path argv)`` form in all three tiers. The C-tier worker host is **~9× faster than Python** on small calls (dispatcher overhead drops with the interpreter); at huge calls the binary wire mode equalizes everything because the worker is now spending all its time in the CUDA kernel. The asm-tier worker host is ~70 KB statically linked. + +**Worker health.** Every worker exposes a ``(health)`` op that returns ``(vram-free-bytes pid uptime-ms)``. The dispatcher caches the response for 5 s and ranks workers by free VRAM — a 3090 with 24 GB free always picks over a 4090 already running qwen. ``cluster.lsp`` reuses the same protocol across a 3-node fleet (3× RTX 3090, see ``lumbda.com/bend.html``). + +**Catalog of live forms.** Each form ships a self-contained CUDA binary plus a one-line lumbda wrapper. Headline numbers on RTX 3090: + +.. list-table:: + :widths: 26 38 22 14 + :header-rows: 1 + + * - Form + - Throughput + - vs baseline + - Wire + * - ``cuda-shake-fanout`` + - 1 M × 16 B in ~12 ms + - 12× hashlib + - BSHK + * - ``cuda-secp256k1-mul`` v3 + - 13.83 Mkeys/s @ n=1M + - 1.76× v1 (~309× coincurve) + - BSCP + * - ``cuda-bignum-cgbn`` + - 1.28 Gops/s mod-mul (256-bit) + - ~256× GMP CPU + - BCGB + * - ``cuda-radix-sort`` + - 5.50 Gkeys/s @ n=10M (CUB ``DeviceRadixSort`` u64) + - ~4× Titan baseline + - BSRT + * - ``cuda-blake3-tree`` + - 32.5 GB/s @ 1M × 64 B (kernel 1.97 ms) + - single-GPU reference + - BSB3 + * - ``cuda-sim-ops-bin`` + - 1.27× host @ 141 batches (9024 shots); SHAKE-RNG mode bit-identical to upstream ``eval_circuit`` + - matches upstream Pareto + - ``ops.bin`` + +Every form's output is byte-identical against a host reference: ``hashlib.shake_256`` for SHAKE, ``coincurve`` for secp256k1, ``hashlib.blake3`` for BLAKE3, Python ``sorted()`` for radix, and the upstream ``eval_circuit`` walker on the same ``ops.bin`` for circuit simulation. The catalog is open at ``examples/cuda-fanout/CATALOG.md`` — currently 27 surveyed forms across cryptography, sort/search, graph, sparse linear algebra, and signal processing. Companion page: ``lumbda.com/bend.html`` carries the live fleet status and the published speedup table. + +**Why this matters past the speedups.** A 22 KB asm interpreter that drives a 24 GB GPU through a 4-byte magic + raw bytes is the same pattern the other §11 sections demonstrate: the language sits on top of the kernel boundary, not under it. No CUDA toolchain links into lumbda. No libcudart in asm's address space. Every cross-compute call is one ``(bend ...)`` form, one spawn, one wire frame. The wire format and the language are the same artifact, again — and now the artifact crosses the host/accelerator boundary too. + 12. MOAD Audit: Fixing What We Built -------------------------------------- @@ -1460,6 +1485,8 @@ The Python implementation had a similar defect: ``_define_record_type`` used ``l A third correctness fix landed after the portal-over-HTTP demo exposed it: ``lumbda.py``'s ``Env.lookup`` used to short-cut from the local frame directly to the global frame before walking intermediate parents. That was fast but wrong — a let-loop parameter named the same as a global builtin (``count``, a SRFI-1 procedure) got shadowed in reverse, the shortcut returned the global builtin instead of walking up to the loop's parameter frame. Fix: walk ``self → self.p → ... → global`` in order, without any shortcut. The inline cache at ``OP_LOOKUP`` was correspondingly tightened to validate the full chain before firing. 980 tests remained green. +**Post-cycle audit (since 2026-04-24).** Bend's wire protocol surfaced another sedimentary defect: ``wire.lsp``'s ``recv-exact`` accumulated bytes by repeatedly appending to a growing string, O(n²) over the whole receive. The 1 M-input binary benchmark exposed it — Python tier Scheme-level scaling went non-linear above ~100 k bytes. Fix: collect into a list and ``string-concat`` once at end, O(n). The same benchmark also forced honest huge-workload numbers across all three tiers: C-tier worker host ~9× faster than Python, binary mode 12× faster than host hashlib at 1 M inputs. Two correctness fixes landed alongside: asm ``scheme_read`` had a 256-byte input buffer that overflowed on long strings (#GP fault past 272 chars; fix raised the buffer and added a bounds check), and asm ``gc_sweep`` had a page-fault on chunk-abandonment when the bump pointer landed exactly at a chunk-end boundary (fix walks the chunk chain explicitly). A JIT correctness fix on the C tier — the bytecode VM had been clobbering ``cur_code`` across ``CALL``/``RETURN`` in named-let bodies, hanging the EML proof checker on the rewriter loop — restored the cross-tier proof timings in §8.3. + Every release audit surfaces more. Writing new code is writing new sediment, unless the audit runs. 12.2 MOAD-0002: The Intertangle in Our Own Design @@ -1491,7 +1518,7 @@ This is the permacomputer obligation: infrastructure that renews itself. Code th - **WebSocket / bidirectional**: HTTP/1.0 is request-response; a persistent socket loop with framing brings full-duplex feedback. - **Continuation-passing over HTTP**: §11.5 moves *bindings* over HTTP. The next step is moving a live *continuation* — serialize it via ``call/cc`` + JSON portal, transmit, resume on the remote VM. Makes any TCP endpoint a trampoline target. - **DAG-of-hot-paths predictive preload**: §11.7's adaptive server ranks by raw frequency, which pins the top URLs but cannot predict *which* assets co-occur. A navigation DAG (edge weights = ``P(next = v | prev = u)``) learned from referrer headers or session logs would let the boot-time preloader walk forward from seed nodes and warm everything within a predicted session depth. For deployments with > 1000 resources where the flat top-N is too narrow and full hot-caching is too wide, the DAG is the middle path. The frequency-only version in the repo today is designed to be the single-node degenerate case — a DAG with no edges. -- **GPU lambda execution**: Map/reduce on CUDA for data-parallel Scheme (Phase 1), trampolining for recursive lambdas (Phase 2), interaction combinators for massive parallelism (Phase 3) +- **GPU lambda execution — Phase 1 shipped**: Map/reduce on CUDA via ``(bend ...)`` is now in production (§4.3 fifth scope, §11.8 catalog of 27 forms — cuda-secp256k1, cuda-blake3-tree, cuda-radix-sort, cuda-bignum-cgbn, etc.). Phase 2 is trampolining for recursive lambdas — turning a ``(bend (lambda (n) ...))`` into successive worker round-trips driven by ``call/cc``, so a Scheme recursion can run entirely on the GPU side of the wire. Phase 3 is interaction combinators for massive parallelism — the same lambda calculus reductions implemented as GPU-resident graph rewrites, removing the host-side dispatcher from the inner loop. - **Copying GC in asm**: ``heap-snapshot`` is an escape hatch. A mark-and-copy collector would remove the sharp edge for general programs without forcing the programmer to reason about lifetimes. - **Concurrent accept loop (asm)**: Currently single-threaded. A pre-forked worker model or ``SO_REUSEPORT`` pool would multiply throughput without changing the Scheme code. - **Complex number arithmetic**: Extending the numeric tower for the full EML derivation chain @@ -1552,6 +1579,7 @@ Citation russell@unturf, TimeHexOn, foxhop, Zoë Trout. "Feedback Is All You Need." permacomputer.com, 2026. https://lumbda.com/lumbda-whitepaper.pdf + Source: https://git.unturf.com/engineering/unturf/lumbda References