From 9b1a60226deebf79ce96c3003937772cd3f28bd8 Mon Sep 17 00:00:00 2001 From: "russell@unturf.com" Date: Sat, 18 Apr 2026 10:46:29 -0400 Subject: [PATCH] whitepaper: diagrams + stats refresh for GC / meta-GC / hash primitives MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Diagrams: - asm-architecture.dot: adds GC_NAIVE memory cluster (bump, free list, conservative stack scan) + meta-GC (with-arena) cluster showing the reset path; updates line count (4968 -> 6645), builtin count (91 -> 95+), mentions native hash-table-* / hash-set-* and the GC-build primitives (with-arena, gc-collect, gc-stats, arena-stats). - benchmark-binary-size.dot: adds second asm bar for the GC_NAIVE build (27 KB stripped vs 23 KB bump-only); updated asm bump size from 22 KB (stale) to actual 23 KB. - benchmark-gc.dot (new): side-by-side peak RSS for asm bump-only (134 MB), naive GC (1.1 MB), meta-GC arena (1.2 MB, 2000/2000 resets); embedded in §6.6. - meta-gc-policy.dot (new): three-way decision tree at (with-arena) exit — implicit-GC-fired / mark-in-arena-range / no-mark-in-range -> skip / sweep / bulk-reset; embedded in §6.6.1. Stats: - 975 verified assertions -> 980 (asm gained 5 via hash-table & hash-set tests; 571 Python + 137 asm + 83 C + 189 shared). - asm test count 132 -> 137 in the summary list, intro abstract, and §11 tier table. Notes that the optional GC build passes the same 137 independently (1,117 assertions total when both asm binaries are exercised). - Stale 4,968 LOC -> 6,645 already fixed in the prior commit; the new asm-architecture diagram now matches. PDF rebuilt, 2.58 MB (was 2.40 MB). All test suites green. --- docs/asm-architecture.dot | 25 +- docs/asm-architecture.png | Bin 203791 -> 282395 bytes docs/benchmark-binary-size.dot | 9 +- docs/benchmark-binary-size.png | Bin 25621 -> 35280 bytes docs/benchmark-gc.dot | 17 + docs/benchmark-gc.png | Bin 0 -> 29200 bytes docs/meta-gc-policy.dot | 33 + docs/meta-gc-policy.png | Bin 0 -> 60348 bytes whitepaper/diagrams/asm-architecture.png | Bin 203791 -> 282395 bytes whitepaper/diagrams/benchmark-binary-size.png | Bin 25621 -> 35280 bytes whitepaper/diagrams/benchmark-gc.png | Bin 0 -> 29200 bytes whitepaper/diagrams/meta-gc-policy.png | Bin 0 -> 60348 bytes whitepaper/uncommonlisp-whitepaper.pdf | 2067 +++++++++-------- whitepaper/uncommonlisp-whitepaper.rst | 20 +- 14 files changed, 1175 insertions(+), 996 deletions(-) create mode 100644 docs/benchmark-gc.dot create mode 100644 docs/benchmark-gc.png create mode 100644 docs/meta-gc-policy.dot create mode 100644 docs/meta-gc-policy.png create mode 100644 whitepaper/diagrams/benchmark-gc.png create mode 100644 whitepaper/diagrams/meta-gc-policy.png diff --git a/docs/asm-architecture.dot b/docs/asm-architecture.dot index 11f7f01..09ab77b 100644 --- a/docs/asm-architecture.dot +++ b/docs/asm-architecture.dot @@ -1,4 +1,4 @@ -// Assembly implementation architecture — 2026-04-17 refresh +// Assembly implementation architecture — 2026-04-18 refresh // "A diagram is worth 10,000 words." — russell@unturf.com digraph asm_arch { rankdir=TB @@ -6,7 +6,7 @@ digraph asm_arch { edge [fontname="Helvetica", fontsize=10] subgraph cluster_binary { - label="Binary: 22 KB stripped, zero dependencies" + label="Binary: ~22 KB stripped (bump-only) / ~25 KB (GC_NAIVE), zero dependencies" style=rounded color="#333333" fontcolor="#333333" @@ -24,23 +24,25 @@ digraph asm_arch { } subgraph cluster_memory { - label="Memory Model" + label="Memory Model — default bump; optional mark-sweep + meta-GC" style=rounded color="#666666" - bump [label="Bump Allocator\n%r15 = heap ptr\n%r13 = heap limit\nheap_grow mmaps 64 MB" fillcolor="#ffeaa7"] - snap [label="heap-snapshot\nheap-restore\narena for per-request\nloops (O(1) memory)" fillcolor="#ffeaa7"] - tags [label="Tag-in-Low-3-Bits\n0=int 1=pair 2=sym\n3=closure 4=builtin\n5=special 6=string\n7=vector" fillcolor="#ffeaa7"] + bump [label="Bump Allocator\n%r15 = heap ptr\n%r13 = heap limit\nheap_grow mmaps 64 MB chunks\n(1 MB under GC_NAIVE)" fillcolor="#ffeaa7"] + snap [label="heap-snapshot / heap-restore\n(portable arena, bump-only)\nper-request loops = O(1)" fillcolor="#ffeaa7"] + tags [label="Tag-in-Low-3-Bits\n0=int 1=pair 2=sym\n3=closure 4=builtin\n5=special 6=string\n7=vector / hash-table / hash-set\n(disambiguated by negative sentinel)" fillcolor="#ffeaa7"] + gc [label="GC_NAIVE build (opt-in)\n• 8 B header per block\n• stop-the-world mark-sweep\n• first-fit free list\n• conservative stack scan" fillcolor="#fab1a0"] + meta [label="Meta-GC (with-arena thunk)\n1. snapshot %r15\n2. run thunk (free list off)\n3. mark phase (+ result root)\n4. NO mark in range → bulk reset O(1)\n5. otherwise → sweep fallback" fillcolor="#fd79a8"] } subgraph cluster_interp { - label="Interpreter — 4,968 lines of GNU asm (GAS AT&T syntax)" + label="Interpreter — 6,645 lines of GNU assembler (GAS, AT&T syntax); as + ld from GNU binutils" style=rounded color="#666666" tokenize [label="Tokenizer\nchar-by-char\n\\n \\r \\t \\0 escapes" fillcolor="#fff3cd"] read_fn [label="Reader\nrecursive descent\n→ tagged cons cells\n(load), read-from-string" fillcolor="#fff3cd"] eval_fn [label="Evaluator\nTCO via jmp .eval_top\nall special forms\n+ eval as builtin" fillcolor="#d4edda"] - print_fn [label="Printer\nitoa, list, vector\ncustom output_fd\nport-aware" fillcolor="#81ecec"] - builtins [label="91 Builtins (was 34)\narith cons car cdr list ...\nload ports write-file\nportal-save/resume\ntcp-listen/accept/send/recv\nread-from-string eval" fillcolor="#a29bfe"] + print_fn [label="Printer\nitoa, list, vector\nhash-table / hash-set\ncustom output_fd" fillcolor="#81ecec"] + builtins [label="95+ Builtins\narith cons car cdr list ...\nload ports write-file\nportal-save/resume\ntcp-listen/accept/send/recv\nread-from-string eval\nnative hash-table-* / hash-set-*\n(GC build: with-arena, gc-collect,\n gc-stats, arena-stats)" fillcolor="#a29bfe"] } subgraph cluster_env { @@ -66,8 +68,13 @@ digraph asm_arch { env_chain -> sym_intern bump -> tags bump -> snap [label="arena pattern" style=dashed] + bump -> gc [label="GC_NAIVE flag" style=dashed color="#fab1a0"] + gc -> meta [label="with-arena" color="#fd79a8"] eval_fn -> bump [label="cons/closure alloc"] + meta -> bump [label="reset %r15" style=dashed] {rank=same; fs_io; mem_io; net_io; misc} {rank=same; tokenize; read_fn} + {rank=same; bump; tags} + {rank=same; gc; meta} } diff --git a/docs/asm-architecture.png b/docs/asm-architecture.png index bd2adc6ded2817c048eb1a3d87a90b2c30acf654..475c73906cc5fd83d4e71bd8fa409792f2c00b1a 100644 GIT binary patch literal 282395 zcmd?RbySsW*FNgrZWU2N0Z|YUl`bWv6{Wiyq`SKfkP?t?knZkQ0cns$cP_fS`Ays# z-~E1L{KomlIOF_v*4_hGKF|Hkd*0W)<~8U2c!`Vhp`qfTUb=J%O@RNkiyhDFf#R30Z)ez!)ed+A{zc1CPL60sz|9I*nWZV0 z7equT2zXrnXN+GxM1*L>ttygo81U{UBCM*7Dv0r#>Oia$QA{8`MY>{p;pT9 z1-snjloS$DQZBpohiq)a?d>8YK?jG228LS)+@d++h6~DZp!tX zPtm_leEG%SC;l7| z@XU0q3YS*(6FxJIuIQ^w*=$KkNo)@yA|jPa8|TtL9=XnS#0;02Pwy=C`+oXVRb73w zy`X7msPswhWPjSGG`N&YWhN0^HpGB6{tPileNo9LbdxyDi&w6I#O=4 zGGsZ|(Ow)D9v+T{&s1MuUuD1bqpz>8yPN*$(>!n@cORDiRd9RTtyz&BTne#+Fj_Sl zwVLCRa?4!R>I~IthyEND!`_ULt-$w8N9OW{IwEx+(I{oJt z_iU}V($*gD^s8w$`ccc}D0dV}NJzkGm&R-1aR!#4kj(;b+h6_QhBy7gSEqfJno|atuhEY{DxJ$|e;vGW zZb)BQc?4_;mmL-viAP9Ci=(5X^U=)>jsPxI^TzhHW3j=~xcO!@V_AUETgnxm*gFjHKk`(K2(*-V7NSb74^tyUVd1yr8F}^CMt`87PMH zUndHsQK2~b%&$wURs&zyhfl&IBV}_{PwKs}JkSXuIh`F!O-8TYyenSqU=0f<-Nndg z8AieP>26n+LLn^Fql1GGa;e$To2^PAOKeh}tPPLI$yuJaGW12Zu567ua)s%kg%#MI@ku2&YA9F`vfDj{A-;Y47M*|<+c56}9-Q2) zgjnIlTmSLtMt_V4?02!TgAE^KV!^QdHF;a+6XDb$GNT(wbcznDc%&~2K zYd8mZ7R%ZDTrSE1>31+OCuV1NXWOGR$|)Ebi{)}v$HvCMc{+;I;euq+C3(v0zkMUh zbs_lm5D^v*#>#^$E3sKo)YYBa;|gJ7XFu-El)G_<>T}@Z>gsCCQFZg9-4&GzxV%)=_Dj12z1ZKyr0sPN^??EQ>7JH4fXWMPCldJ zGa779e7j8K78DfJ;$&rg{wU7N14s~jnYwsH)o+`EY3)tJ##ZTkw5#0`EYXqJyRMK4 zh?7@b?0mex0XFCL#Y=Wt?1*7|%;#s+mo*5(#&&l;+}7_(Xn+N91J_=4)ZWgHOf>|e z%nc%gzN~aIg%YEPgjs-x)$v-_sd_Is3@VXgsmTdUUZX$Z+)&JHdyS*1zPssY#SX*+ zR@+sl<9%~l+T1DQD$kBMuH2^CwlET@=8j(v1cGk7k3sqAc=eu*SDzWVW2P&EWz1s= zjytV^N;%5qCC0-h!zJ0UzQEel1|z?xx2I?;7l_B(1g}q@iV6#FprF{{`||PdsFaya z8W$b!I>|pvO-d4uex484@BK-h$j!&6wJVXYSBnZ~J_DR|a9{ue(v#difOPy5rDVYn zR4d$)k`kEV_VUUVNB%>LY7I>tF)=YsP0bKiu{h3^(aO^5YG--*aErju^BFSTm}*c| zRHQhEO{cw4TYY`~moHz!GO;t9Oyq|}OMrvJ=(uatph;a{c!&G=WN$n_KOZsI_4v^v z=?-2V9&H^RCgUOLa&aLc!}*`_?l;(SS7pH=2H2S7f=I>C(a}R)ga+RM>UbA||J;Qo z(UFPTvs}5iE4%;Y%R@1-&d;Aemv-%66AXg2afA{&UwX(#-_Noc>JZ$l1#5b^#F%nS z=OWAUoLVUd2XtAnwQ z?cz_(&W3K$@2$lb6)_OG6}?hdg^$!~oCd2MZC|~ri`E?-837neDe%w5)PPuIJX}(3 zzoi3l-RIdG>_qS;M>{(^M@LFQ)V(Y?BR?_!(>^@D>7hbwDqv~J<7))`Y-K|xX-N|btqgc0Div8>jM zGtEK71WiZWzYOs_bRH05%Xm92J9{);Dpe?q1}?eQPU-4JOnIF6H=lEwfnn>wN}ZgP z_>$@OfP>Y1>h;22jq_1omcrK2TJ6&Od{3sF=|G4MLuBQQ< zT3LySTaARS{Bq66O*NMTZD0#~Yvat!%;&#|<8&4l7M8{vFVyXXfPV&rAt~uex$;=G z;~rokDv^<~v0RpXKHzP4s+g{}c5k|rF8oebR(6qgJYUnJyu3UzXPmc9GS%JTIbMK8 z$;jxa?aC0&y?Y1ilXaWO)>6a%9Khmo6Ay(inZR5iRPTVB!9h15VAvPi0E7Z_880(` zB_~%3I1OjEv9#R;T?uFE0UzVh-E$0rZ=}!NCnaxP%-I438hb zvY(nuzMHxN87Ut<;x2aw+`_wi_x0=7 z(izhFO`nOp_sWGM=p;D}-^~oie0=}m1F3L0=Dm9h%ggM*@!qTE#4D?1gNGLDck@c5 znvU0e`}R#iK_SlNFkSjlP;(@sp=^DvpaDt4KP+&;wos>?L^%AZK~EZRD*@t4+cjDC z$NFzITa%j|}?Ce;oJcX~vt`X|(Q07?~ zPs(Dr@40$~&J>T}toqNw&}Fj~iQUp95`RG0a>Imh^nhOH6Xy4k5oN*dPD8($aipEsftVG7d zsMKeIt;OTH-JP&Lo}YbYhQV%q;_KJ1Ff?ay&M0QnzH^@!TT}_c6`t7>cf;J8Z8rqK zD=yxFDTBjQXf~o>yLOG|Pi0Z?HUd_w`GNezoaX*y&)?pf^LH(oRr9CRB{~$Ap9gWfc{F$U|T; 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[label="{Assembly|22 KB stripped\nzero libs\n14 Linux syscalls}" fillcolor="#6c5ce7" fontcolor=white width=1.0] + asm [label="{Assembly (bump-only)|23 KB stripped\nzero libs\n14 Linux syscalls}" fillcolor="#6c5ce7" fontcolor=white width=1.0] + asm_gc [label="{Assembly (GC_NAIVE)|27 KB stripped\nmark-sweep + meta-GC arena\n+4 KB over bump-only}" fillcolor="#a29bfe" fontcolor=white width=1.2] c [label="{C + JIT|205 KB\nlibc only}" fillcolor="#00b894" fontcolor=white width=3.0] busybox [label="{busybox httpd|2.1 MB\nmulti-call}" fillcolor="#fdcb6e" width=10.0] py [label="{Python 3 interp|8.0 MB\nstandalone binary}" fillcolor="#e17055" fontcolor=white width=15.0] - asm -> c -> busybox -> py + asm -> asm_gc -> c -> busybox -> py } diff --git a/docs/benchmark-binary-size.png b/docs/benchmark-binary-size.png index 03e8012d8dba54004b6865a58e1072cfae2a3245..a649f2609f9ef9d6156ec2540551a61fff63803a 100644 GIT binary patch literal 35280 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fillcolor="#d4edda"] + gate1 [label="arena_active\nstill 1?" shape=diamond fillcolor="#fab1a0"] + verify [label="Mark phase\n(globals, syms,\nstack, + result)" fillcolor="#81ecec"] + gate2 [label="Mark in\n[snap, r15)?" shape=diamond fillcolor="#81ecec"] + + reset [label="BULK RESET O(1)\n%r15 ← snap\nresets++" fillcolor="#00b894" fontcolor=white] + escape [label="SWEEP FALLBACK\ngc_sweep full\nescapes++" fillcolor="#e17055" fontcolor=white] + abort [label="SKIP reset\n(implicit GC ran)\nescapes++" fillcolor="#fab1a0"] + + ret [label="Return result\n(arena-stats)" fillcolor="#dfe6e9"] + + enter -> thunk -> gate1 + gate1 -> verify [label="yes"] + gate1 -> abort [label="no"] + verify -> gate2 + gate2 -> reset [label="no"] + gate2 -> escape [label="yes"] + reset -> ret + escape -> ret + abort -> ret +} diff --git a/docs/meta-gc-policy.png b/docs/meta-gc-policy.png new file mode 100644 index 0000000000000000000000000000000000000000..82897bed182eddb095e85e510f661a2a96ca80c6 GIT binary patch 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Tj T* -108.7342 0 Td ET +Q +Q +q +Q +Q +Q +q +1 0 0 1 57.02362 488.2127 cm +Q +q +1 0 0 1 57.02362 464.2127 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 531.0236 cm +1 0 0 1 57.02362 422.2127 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 525.0236 cm +1 0 0 1 57.02362 416.2127 cm Q q -1 0 0 1 57.02362 525.0236 cm +1 0 0 1 57.02362 416.2127 cm Q q -1 0 0 1 57.02362 501.0236 cm +1 0 0 1 57.02362 392.2127 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -4543,10 +4582,10 @@ Q Q Q q -1 0 0 1 57.02362 495.0236 cm +1 0 0 1 57.02362 386.2127 cm Q q -1 0 0 1 57.02362 459.0236 cm +1 0 0 1 57.02362 350.2127 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -4568,10 +4607,10 @@ Q Q Q q -1 0 0 1 57.02362 453.0236 cm +1 0 0 1 57.02362 344.2127 cm Q q -1 0 0 1 57.02362 429.0236 cm +1 0 0 1 57.02362 320.2127 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -4593,25 +4632,63 @@ Q Q Q q -1 0 0 1 57.02362 429.0236 cm +1 0 0 1 57.02362 320.2127 cm Q q -1 0 0 1 57.02362 351.0236 cm +1 0 0 1 57.02362 242.2127 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 333.0236 cm +1 0 0 1 57.02362 234.2127 cm +Q +q +1 0 0 1 57.02362 110.1013 cm +q +0 0 0 rg +BT /F1 10 Tf 12 TL ET +q +1 0 0 1 34.1537 57 cm +q +412.9209 0 0 64.11141 0 0 cm +/FormXob.50f2e437de28d60c55dc511c5fe92eaa 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 2.454173 0 Td (Three-way policy the meta-GC runs at every ``\(with-arena thunk\)`` exit. Green path = O\(1\) bulk reset \(the) Tj T* 2.475 0 Td (transient-workload win\); red path = escape detected, fall through to naive sweep \(correctness preserved) Tj T* -2.23 0 Td (when data survives the thunk\); orange path = implicit GC fired during the thunk, snapshot is already stale) Tj T* 25.725 0 Td (so skip the reset attempt. Every counter the policy updates is observable via ``\(arena-stats\)``.) Tj T* -28.42417 0 Td ET +Q +Q +q +Q +Q +Q +q +1 0 0 1 57.02362 102.1013 cm +Q +q +1 0 0 1 57.02362 84.10133 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 327.0236 cm +1 0 0 1 57.02362 78.10133 cm Q + +endstream +endobj +135 0 obj +<< +/Length 12624 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 261.0236 cm +1 0 0 1 57.02362 699.0236 cm q 1 1 1 rg n 0 66 481.2283 -18 re f* @@ -4747,22 +4824,22 @@ Q Q Q q -1 0 0 1 57.02362 261.0236 cm +1 0 0 1 57.02362 699.0236 cm Q q -1 0 0 1 57.02362 195.0236 cm +1 0 0 1 57.02362 633.0236 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 Q Q q -1 0 0 1 57.02362 177.0236 cm +1 0 0 1 57.02362 615.0236 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 146.2236 cm +1 0 0 1 57.02362 584.2236 cm q q 1 0 0 1 0 0 cm @@ -4824,41 +4901,32 @@ Q Q Q q -1 0 0 1 57.02362 102.2236 cm +1 0 0 1 57.02362 540.2236 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 - -endstream -endobj -134 0 obj -<< -/Length 9096 ->> -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 516.2236 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 735.0236 cm +1 0 0 1 57.02362 498.2236 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 729.0236 cm +1 0 0 1 57.02362 492.2236 cm Q q -1 0 0 1 57.02362 729.0236 cm +1 0 0 1 57.02362 492.2236 cm Q q -1 0 0 1 57.02362 717.0236 cm +1 0 0 1 57.02362 480.2236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -4880,10 +4948,10 @@ Q Q Q q -1 0 0 1 57.02362 711.0236 cm +1 0 0 1 57.02362 474.2236 cm Q q -1 0 0 1 57.02362 699.0236 cm +1 0 0 1 57.02362 462.2236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -4905,37 +4973,37 @@ Q Q Q q -1 0 0 1 57.02362 681.0236 cm +1 0 0 1 57.02362 444.2236 cm Q q -1 0 0 1 57.02362 591.0236 cm +1 0 0 1 57.02362 354.2236 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 561.0236 cm +1 0 0 1 57.02362 324.2236 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 529.8236 cm +1 0 0 1 57.02362 293.0236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (7. Portal: Feedback Across Time) Tj T* ET Q Q q -1 0 0 1 57.02362 485.8236 cm +1 0 0 1 57.02362 249.0236 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 479.8236 cm +1 0 0 1 57.02362 243.0236 cm Q q -1 0 0 1 57.02362 383.8236 cm +1 0 0 1 57.02362 147.0236 cm q 1 1 1 rg n 0 96 481.2283 -18 re f* @@ -5138,29 +5206,38 @@ Q Q Q q -1 0 0 1 57.02362 383.8236 cm +1 0 0 1 57.02362 147.0236 cm Q q -1 0 0 1 57.02362 353.8236 cm +1 0 0 1 57.02362 117.0236 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 q -1 0 0 1 57.02362 327.8236 cm +1 0 0 1 57.02362 91.02362 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 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 309.8236 cm +1 0 0 1 57.02362 73.02362 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 + +endstream +endobj +136 0 obj +<< +/Length 9129 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 240.6236 cm +1 0 0 1 57.02362 703.8236 cm q q 1 0 0 1 0 0 cm @@ -5181,44 +5258,35 @@ Q Q Q q -1 0 0 1 57.02362 208.6236 cm +1 0 0 1 57.02362 671.8236 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 154.6236 cm +1 0 0 1 57.02362 617.8236 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 112.6236 cm +1 0 0 1 57.02362 575.8236 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 86.62362 cm +1 0 0 1 57.02362 549.8236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 Tf .133333 .133333 .133333 rg (7.2 Cross-Implementation Exchange Matrix) Tj T* ET Q Q q -1 0 0 1 57.02362 74.62362 cm +1 0 0 1 57.02362 537.8236 cm Q - -endstream -endobj -135 0 obj -<< -/Length 9291 ->> -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 +1 0 0 1 57.02362 447.8236 cm q 1 1 1 rg n 0 90 481.2283 -18 re f* @@ -5373,41 +5441,41 @@ Q Q Q q -1 0 0 1 57.02362 675.0236 cm +1 0 0 1 57.02362 447.8236 cm Q q -1 0 0 1 57.02362 645.0236 cm +1 0 0 1 57.02362 417.8236 cm q BT 1 0 0 1 0 14 Tm 3.901835 Tw 12 TL /F1 10 Tf 0 0 0 rg (9 of 9. Verified by ) Tj /F5 10 Tf (tests/portal-cross-test.sh) Tj /F1 10 Tf ( \() Tj /F3 10 Tf (make bench-portal-cross) Tj /F1 10 Tf (\). Same file, same) Tj T* 0 Tw (semantics, regardless of which process produced it.) Tj T* ET Q Q q -1 0 0 1 57.02362 603.0236 cm +1 0 0 1 57.02362 375.8236 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 577.0236 cm +1 0 0 1 57.02362 349.8236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 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 547.0236 cm +1 0 0 1 57.02362 319.8236 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 541.0236 cm +1 0 0 1 57.02362 313.8236 cm Q q -1 0 0 1 57.02362 541.0236 cm +1 0 0 1 57.02362 313.8236 cm Q q -1 0 0 1 57.02362 529.0236 cm +1 0 0 1 57.02362 301.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -5429,10 +5497,10 @@ Q Q Q q -1 0 0 1 57.02362 523.0236 cm +1 0 0 1 57.02362 295.8236 cm Q q -1 0 0 1 57.02362 511.0236 cm +1 0 0 1 57.02362 283.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -5455,10 +5523,10 @@ Q Q Q q -1 0 0 1 57.02362 505.0236 cm +1 0 0 1 57.02362 277.8236 cm Q q -1 0 0 1 57.02362 493.0236 cm +1 0 0 1 57.02362 265.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -5480,10 +5548,10 @@ Q Q Q q -1 0 0 1 57.02362 487.0236 cm +1 0 0 1 57.02362 259.8236 cm Q q -1 0 0 1 57.02362 475.0236 cm +1 0 0 1 57.02362 247.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -5506,10 +5574,10 @@ Q Q Q q -1 0 0 1 57.02362 469.0236 cm +1 0 0 1 57.02362 241.8236 cm Q q -1 0 0 1 57.02362 457.0236 cm +1 0 0 1 57.02362 229.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -5532,22 +5600,22 @@ Q Q Q q -1 0 0 1 57.02362 439.0236 cm +1 0 0 1 57.02362 211.8236 cm Q q -1 0 0 1 57.02362 409.0236 cm +1 0 0 1 57.02362 181.8236 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 q -1 0 0 1 57.02362 367.0236 cm +1 0 0 1 57.02362 139.8236 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 336.2236 cm +1 0 0 1 57.02362 109.0236 cm q q 1 0 0 1 0 0 cm @@ -5568,26 +5636,35 @@ Q Q Q q -1 0 0 1 57.02362 316.2236 cm +1 0 0 1 57.02362 89.02362 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 +137 0 obj +<< +/Length 9720 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 290.2236 cm +1 0 0 1 57.02362 753.0236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 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 260.2236 cm +1 0 0 1 57.02362 723.0236 cm q BT 1 0 0 1 0 14 Tm .755197 Tw 12 TL /F1 10 Tf 0 0 0 rg (The 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 ( \(bump) Tj T* 0 Tw (pointer\) registers, the heap base address, & a magic header. No parsing, no encoding.) Tj T* ET Q Q q -1 0 0 1 57.02362 162.2236 cm +1 0 0 1 57.02362 625.0236 cm q q 1 0 0 1 0 0 cm @@ -5608,43 +5685,34 @@ Q Q Q q -1 0 0 1 57.02362 118.2236 cm +1 0 0 1 57.02362 581.0236 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 64.22362 cm +1 0 0 1 57.02362 527.0236 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 - -endstream -endobj -136 0 obj -<< -/Length 9918 ->> -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 501.0236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 Tf .133333 .133333 .133333 rg (7.5 Cross-Process Benchmarks) Tj T* ET Q Q q -1 0 0 1 57.02362 711.0236 cm +1 0 0 1 57.02362 459.0236 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 705.0236 cm +1 0 0 1 57.02362 453.0236 cm Q q -1 0 0 1 57.02362 507.0236 cm +1 0 0 1 57.02362 255.0236 cm q 1 1 1 rg n 0 198 481.2283 -18 re f* @@ -5850,72 +5918,66 @@ Q Q Q q -1 0 0 1 57.02362 507.0236 cm +1 0 0 1 57.02362 255.0236 cm Q q -1 0 0 1 57.02362 465.0236 cm +1 0 0 1 57.02362 213.0236 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 439.0236 cm +1 0 0 1 57.02362 187.0236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 Tf .133333 .133333 .133333 rg (7.6 Mismatch Cases: Graceful Degradation) Tj T* ET Q Q q -1 0 0 1 57.02362 421.0236 cm +1 0 0 1 57.02362 169.0236 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 415.0236 cm +1 0 0 1 57.02362 163.0236 cm Q q -1 0 0 1 57.02362 265.0236 cm +1 0 0 1 57.02362 67.02362 cm q 1 1 1 rg -n 0 150 481.2283 -18 re f* +n 0 96 481.2283 -18 re f* .878431 .878431 .878431 rg -n 0 132 481.2283 -18 re f* +n 0 78 481.2283 -18 re f* 1 1 1 rg -n 0 114 481.2283 -30 re f* +n 0 60 481.2283 -30 re f* .878431 .878431 .878431 rg -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* +n 0 30 481.2283 -30 re f* 0 0 0 rg BT /F3 10 Tf 12 TL ET q -1 0 0 1 6 135 cm +1 0 0 1 6 81 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 135 cm +1 0 0 1 234.5835 81 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 135 cm +1 0 0 1 318.7984 81 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 135 cm +1 0 0 1 403.0134 81 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 @@ -5924,87 +5986,125 @@ Q 0 0 0 rg BT /F1 10 Tf 12 TL ET q -1 0 0 1 6 117 cm +1 0 0 1 6 63 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 117 cm +1 0 0 1 234.5835 63 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 117 cm +1 0 0 1 318.7984 63 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 117 cm +1 0 0 1 403.0134 63 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 99 cm +1 0 0 1 6 45 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 87 cm +1 0 0 1 234.5835 33 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 99 cm +1 0 0 1 318.7984 45 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 99 cm +1 0 0 1 403.0134 45 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 69 cm +1 0 0 1 6 15 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 57 cm +1 0 0 1 234.5835 3 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 57 cm +1 0 0 1 318.7984 3 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 57 cm +1 0 0 1 403.0134 3 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 J +1 j +0 0 0 RG +.25 w +n 0 0 m 481.2283 0 l S +n 0 78 m 481.2283 78 l S +n 0 60 m 481.2283 60 l S +n 0 30 m 481.2283 30 l S +n 228.5835 0 m 228.5835 96 l S +n 312.7984 0 m 312.7984 96 l S +n 397.0134 0 m 397.0134 96 l S +n 0 96 m 481.2283 96 l S +n 0 0 m 0 96 l S +n 481.2283 0 m 481.2283 96 l S +Q +Q +Q + +endstream +endobj +138 0 obj +<< +/Length 6497 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET +q +1 0 0 1 57.02362 711.0236 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 /F1 10 Tf 12 TL ET +q 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 @@ -6091,48 +6191,35 @@ 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 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 228.5835 0 m 228.5835 54 l S +n 312.7984 0 m 312.7984 54 l S +n 397.0134 0 m 397.0134 54 l S +n 0 0 m 0 54 l S +n 481.2283 0 m 481.2283 54 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 265.0236 cm +1 0 0 1 57.02362 711.0236 cm Q q -1 0 0 1 57.02362 199.0236 cm +1 0 0 1 57.02362 645.0236 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 -137 0 obj -<< -/Length 6103 ->> -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 619.0236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 Tf .133333 .133333 .133333 rg (7.7 Use Case: Distributed Primality Testing) Tj T* ET Q Q q -1 0 0 1 57.02362 626.2236 cm +1 0 0 1 57.02362 492.2236 cm q q 1 0 0 1 0 0 cm @@ -6152,38 +6239,38 @@ Q Q Q q -1 0 0 1 57.02362 582.2236 cm +1 0 0 1 57.02362 448.2236 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 551.0236 cm +1 0 0 1 57.02362 417.0236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (8. The EML Universality Proof) Tj T* ET Q Q q -1 0 0 1 57.02362 519.0236 cm +1 0 0 1 57.02362 385.0236 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 501.0236 cm +1 0 0 1 57.02362 367.0236 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 475.0236 cm +1 0 0 1 57.02362 341.0236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 Tf .133333 .133333 .133333 rg (8.1 The Operator) Tj T* ET Q Q q -1 0 0 1 57.02362 444.2236 cm +1 0 0 1 57.02362 310.2236 cm q q 1 0 0 1 0 0 cm @@ -6204,19 +6291,19 @@ Q Q Q q -1 0 0 1 57.02362 424.2236 cm +1 0 0 1 57.02362 290.2236 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 398.2236 cm +1 0 0 1 57.02362 264.2236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 Tf .133333 .133333 .133333 rg (8.2 Stage 1: Core Functions \(Depth 1--3\)) Tj T* ET Q Q q -1 0 0 1 57.02362 348.2236 cm +1 0 0 1 57.02362 214.2236 cm q q 1 0 0 1 0 0 cm @@ -6237,19 +6324,28 @@ Q Q Q q -1 0 0 1 57.02362 304.2236 cm +1 0 0 1 57.02362 170.2236 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 Q Q + +endstream +endobj +139 0 obj +<< +/Length 9324 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 278.2236 cm +1 0 0 1 57.02362 753.0236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 Tf .133333 .133333 .133333 rg (8.3 Stage 2: Arithmetic) Tj T* ET Q Q q -1 0 0 1 57.02362 189.8236 cm +1 0 0 1 57.02362 664.6236 cm q q 1 0 0 1 0 0 cm @@ -6269,13 +6365,13 @@ Q Q Q q -1 0 0 1 57.02362 163.8236 cm +1 0 0 1 57.02362 638.6236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 Tf .133333 .133333 .133333 rg (8.4 Stage 3: Complex Plane Access) Tj T* ET Q Q q -1 0 0 1 57.02362 113.8236 cm +1 0 0 1 57.02362 588.6236 cm q q 1 0 0 1 0 0 cm @@ -6296,28 +6392,19 @@ Q Q Q q -1 0 0 1 57.02362 81.82362 cm +1 0 0 1 57.02362 556.6236 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 - -endstream -endobj -138 0 obj -<< -/Length 9468 ->> -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 530.6236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 Tf .133333 .133333 .133333 rg (8.5 Stage 4: Trigonometry via Euler) Tj T* ET Q Q q -1 0 0 1 57.02362 703.0236 cm +1 0 0 1 57.02362 480.6236 cm q q 1 0 0 1 0 0 cm @@ -6338,29 +6425,29 @@ Q Q Q q -1 0 0 1 57.02362 683.0236 cm +1 0 0 1 57.02362 460.6236 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 657.0236 cm +1 0 0 1 57.02362 434.6236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 Tf .133333 .133333 .133333 rg (8.6 Verification & Friction Analysis) Tj T* ET Q Q q -1 0 0 1 57.02362 639.0236 cm +1 0 0 1 57.02362 416.6236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (The proof is verified at three levels, with dramatically different friction:) Tj T* ET Q Q q -1 0 0 1 57.02362 633.0236 cm +1 0 0 1 57.02362 410.6236 cm Q q -1 0 0 1 57.02362 561.0236 cm +1 0 0 1 57.02362 338.6236 cm q 1 1 1 rg n 0 72 481.2283 -18 re f* @@ -6504,34 +6591,34 @@ Q Q Q q -1 0 0 1 57.02362 561.0236 cm +1 0 0 1 57.02362 338.6236 cm Q q -1 0 0 1 57.02362 519.0236 cm +1 0 0 1 57.02362 296.6236 cm q BT 1 0 0 1 0 26 Tm .395596 Tw 12 TL /F3 10 Tf 0 0 0 rg (The formal proof is 40x faster than the brute-force search & provides mathematical certainty instead) Tj T* 0 Tw 1.066027 Tw (of floating-point tolerance.) Tj /F1 10 Tf ( This is MOAD-0001 \(the sedimentary defect\) at the proof methodology layer:) Tj T* 0 Tw (O\(N\262\) search friction where O\(1\) algebraic reasoning suffices.) Tj T* ET Q Q q -1 0 0 1 57.02362 465.0236 cm +1 0 0 1 57.02362 242.6236 cm q BT 1 0 0 1 0 38 Tm 2.309862 Tw 12 TL /F1 10 Tf 0 0 0 rg (The numerical approaches enumerate all pairwise EML compositions at each depth, comparing results) Tj T* 0 Tw .653022 Tw (against target functions. This grows quadratically with the number of known values. The Lean proof does 5) Tj T* 0 Tw .327397 Tw (algebraic rewrites, each applying an axiom \() Tj /F5 10 Tf (exp\(ln\(x\)\)) Tj ( ) Tj (=) Tj ( ) Tj (x) Tj /F1 10 Tf (, ) Tj /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 (\). The type) Tj T* 0 Tw (checker confirms each rewrite in microseconds. No search. No tolerance. No conjecture dependency.) Tj T* ET Q Q q -1 0 0 1 57.02362 411.0236 cm +1 0 0 1 57.02362 188.6236 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 1.513223 Tw (hours. Proof assistants eliminate the quadratic friction of verification. They are the hash set to numerical) Tj T* 0 Tw (analysis's nested loop.) Tj T* ET Q Q q -1 0 0 1 57.02362 405.0236 cm +1 0 0 1 57.02362 182.6236 cm Q q -1 0 0 1 57.02362 405.0236 cm +1 0 0 1 57.02362 182.6236 cm Q q -1 0 0 1 57.02362 369.0236 cm +1 0 0 1 57.02362 146.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -6553,10 +6640,10 @@ Q Q Q q -1 0 0 1 57.02362 363.0236 cm +1 0 0 1 57.02362 140.6236 cm Q q -1 0 0 1 57.02362 327.0236 cm +1 0 0 1 57.02362 104.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -6578,10 +6665,10 @@ Q Q Q q -1 0 0 1 57.02362 321.0236 cm +1 0 0 1 57.02362 98.62362 cm Q q -1 0 0 1 57.02362 297.0236 cm +1 0 0 1 57.02362 74.62362 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -6603,10 +6690,19 @@ Q Q Q q -1 0 0 1 57.02362 297.0236 cm +1 0 0 1 57.02362 74.62362 cm Q + +endstream +endobj +140 0 obj +<< +/Length 8943 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 227.8236 cm +1 0 0 1 57.02362 703.8236 cm q q 1 0 0 1 0 0 cm @@ -6627,19 +6723,19 @@ Q Q Q q -1 0 0 1 57.02362 183.8236 cm +1 0 0 1 57.02362 659.8236 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 177.8236 cm +1 0 0 1 57.02362 653.8236 cm Q q -1 0 0 1 57.02362 177.8236 cm +1 0 0 1 57.02362 653.8236 cm Q q -1 0 0 1 57.02362 93.82362 cm +1 0 0 1 57.02362 569.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -6661,19 +6757,10 @@ Q Q Q q -1 0 0 1 57.02362 93.82362 cm +1 0 0 1 57.02362 569.8236 cm Q - -endstream -endobj -139 0 obj -<< -/Length 10209 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 694.2236 cm +1 0 0 1 57.02362 491.0236 cm q q 1 0 0 1 0 0 cm @@ -6694,16 +6781,16 @@ Q Q Q q -1 0 0 1 57.02362 626.2236 cm +1 0 0 1 57.02362 423.0236 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 620.2236 cm +1 0 0 1 57.02362 417.0236 cm Q q -1 0 0 1 57.02362 512.2236 cm +1 0 0 1 57.02362 309.0236 cm q 1 1 1 rg n 0 108 481.2283 -18 re f* @@ -6887,102 +6974,96 @@ Q Q Q q -1 0 0 1 57.02362 512.2236 cm +1 0 0 1 57.02362 309.0236 cm Q q -1 0 0 1 57.02362 446.2236 cm +1 0 0 1 57.02362 243.0236 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 380.2236 cm +1 0 0 1 57.02362 177.0236 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 290.2236 cm +1 0 0 1 57.02362 87.02362 cm q BT 1 0 0 1 0 74 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 .234556 Tw /F5 10 Tf (sorry) Tj /F1 10 Tf (, no Mathlib dependency \227 40\327 faster than the brute-force numerical search it replaced, and carrying) Tj T* 0 Tw (the additional guarantee that no implementation quirk of floating point can ever break the conclusion.) Tj T* ET Q Q + +endstream +endobj +141 0 obj +<< +/Length 8391 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 259.0236 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 (9. Language Coverage) Tj T* ET Q Q q -1 0 0 1 57.02362 239.0236 cm +1 0 0 1 57.02362 731.8236 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 185.0236 cm +1 0 0 1 57.02362 677.8236 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 155.0236 cm +1 0 0 1 57.02362 647.8236 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 125.0236 cm +1 0 0 1 57.02362 617.8236 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 95.02362 cm +1 0 0 1 57.02362 587.8236 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 65.02362 cm +1 0 0 1 57.02362 533.8236 cm q -BT 1 0 0 1 0 14 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 ET -Q -Q - -endstream -endobj -140 0 obj -<< -/Length 4959 ->> -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 4.238031 Tw 12 TL /F1 10 Tf 0 0 0 rg (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 +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 709.8236 cm +1 0 0 1 57.02362 502.6236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (10. Relationship to Companion Papers) Tj T* ET Q Q q -1 0 0 1 57.02362 689.8236 cm +1 0 0 1 57.02362 482.6236 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 683.8236 cm +1 0 0 1 57.02362 476.6236 cm Q q -1 0 0 1 57.02362 545.8236 cm +1 0 0 1 57.02362 338.6236 cm q 1 1 1 rg n 0 138 481.2283 -18 re f* @@ -7119,25 +7200,25 @@ Q Q Q q -1 0 0 1 57.02362 545.8236 cm +1 0 0 1 57.02362 338.6236 cm Q q -1 0 0 1 57.02362 491.8236 cm +1 0 0 1 57.02362 284.6236 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 q -1 0 0 1 57.02362 460.6236 cm +1 0 0 1 57.02362 253.4236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (11. Four Implementation Tiers, One Language) Tj T* ET Q Q q -1 0 0 1 57.02362 446.6236 cm +1 0 0 1 57.02362 239.4236 cm Q q -1 0 0 1 57.02362 434.6236 cm +1 0 0 1 57.02362 227.4236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7153,21 +7234,21 @@ Q Q Q q -1 0 0 1 57.02362 434.6236 cm +1 0 0 1 57.02362 227.4236 cm Q q -1 0 0 1 57.02362 356.6236 cm +1 0 0 1 57.02362 149.4236 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 348.6236 cm +1 0 0 1 57.02362 141.4236 cm Q endstream endobj -141 0 obj +142 0 obj << /Length 1782 >> @@ -7203,15 +7284,15 @@ q 1 0 0 1 57.02362 247.1875 cm Q q -1 0 0 1 57.02362 66.57395 cm +1 0 0 1 57.02362 111.9891 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET q 1 0 0 1 52.92283 57 cm q -375.3827 0 0 120.6136 0 0 cm -/FormXob.5ed95e45a8a19eeaae0de69cc5ab3dfe Do +375.3827 0 0 75.19848 0 0 cm +/FormXob.02a72be19fedaa76bd1061921e7cc82b Do Q Q q @@ -7226,14 +7307,14 @@ Q Q Q q -1 0 0 1 57.02362 62.69291 cm +1 0 0 1 57.02362 103.9891 cm Q endstream endobj -142 0 obj +143 0 obj << -/Length 13280 +/Length 13402 >> stream 1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET @@ -7618,7 +7699,7 @@ Q q 1 0 0 1 57.02362 247.0236 cm q -BT 1 0 0 1 0 2 Tm 12 TL /F3 10 Tf 0 0 0 rg (975 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 +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 @@ -7678,12 +7759,12 @@ q 1 0 0 1 57.02362 205.0236 cm Q q -1 0 0 1 57.02362 193.0236 cm +1 0 0 1 57.02362 181.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET q -1 0 0 1 6 -3 cm +1 0 0 1 6 9 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 @@ -7692,7 +7773,7 @@ Q q 1 0 0 1 23 -3 cm q -BT 1 0 0 1 0 2 Tm 12 TL /F1 10 Tf 0 0 0 rg (Assembly unit + integration + functional: ) Tj /F3 10 Tf (132 tests) Tj /F1 10 Tf ( \() Tj /F5 10 Tf (asm/test.sh) Tj /F1 10 Tf (\)) Tj T* ET +BT 1 0 0 1 0 14 Tm .456027 Tw 12 TL /F1 10 Tf 0 0 0 rg (Assembly unit + integration + functional: ) Tj /F3 10 Tf (137 tests) Tj /F1 10 Tf ( \() Tj /F5 10 Tf (asm/test.sh) Tj /F1 10 Tf (\), passing identically under both the) Tj T* 0 Tw (bump-only and ) Tj /F5 10 Tf (GC_NAIVE) Tj /F1 10 Tf ( builds) Tj T* ET Q Q q @@ -7700,10 +7781,10 @@ Q Q Q q -1 0 0 1 57.02362 187.0236 cm -Q -q 1 0 0 1 57.02362 175.0236 cm +Q +q +1 0 0 1 57.02362 163.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7725,16 +7806,16 @@ Q Q Q q -1 0 0 1 57.02362 157.0236 cm +1 0 0 1 57.02362 145.0236 cm Q q -1 0 0 1 57.02362 115.0236 cm +1 0 0 1 57.02362 103.0236 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 85.02362 cm +1 0 0 1 57.02362 73.02362 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 @@ -7742,7 +7823,7 @@ Q endstream endobj -143 0 obj +144 0 obj << /Length 16605 >> @@ -8579,9 +8660,9 @@ Q endstream endobj -144 0 obj +145 0 obj << -/Length 10122 +/Length 10454 >> stream 1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET @@ -8700,15 +8781,15 @@ q 1 0 0 1 57.02362 577.0236 cm Q q -1 0 0 1 57.02362 526.4202 cm +1 0 0 1 57.02362 528.6988 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET q 1 0 0 1 17.73071 33 cm q -445.7669 0 0 14.60346 0 0 cm -/FormXob.bb628729698bfa2787467d6784c61ce9 Do +445.7669 0 0 12.32479 0 0 cm +/FormXob.cad6983cde204034020013ead6e6013d Do Q Q q @@ -8723,29 +8804,29 @@ Q Q Q q -1 0 0 1 57.02362 518.4202 cm +1 0 0 1 57.02362 520.6988 cm Q q -1 0 0 1 57.02362 492.4202 cm +1 0 0 1 57.02362 494.6988 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 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 450.4202 cm +1 0 0 1 57.02362 452.6988 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 444.4202 cm +1 0 0 1 57.02362 446.6988 cm Q q -1 0 0 1 57.02362 444.4202 cm +1 0 0 1 57.02362 446.6988 cm Q q -1 0 0 1 57.02362 432.4202 cm +1 0 0 1 57.02362 434.6988 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -8767,10 +8848,10 @@ Q Q Q q -1 0 0 1 57.02362 426.4202 cm +1 0 0 1 57.02362 428.6988 cm Q q -1 0 0 1 57.02362 402.4202 cm +1 0 0 1 57.02362 404.6988 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -8792,45 +8873,45 @@ Q Q Q q -1 0 0 1 57.02362 384.4202 cm +1 0 0 1 57.02362 386.6988 cm Q q -1 0 0 1 57.02362 366.4202 cm +1 0 0 1 57.02362 368.6988 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 324.4202 cm +1 0 0 1 57.02362 326.6988 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 258.4202 cm +1 0 0 1 57.02362 260.6988 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 Q Q q -1 0 0 1 57.02362 228.4202 cm +1 0 0 1 57.02362 230.6988 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 186.4202 cm +1 0 0 1 57.02362 188.6988 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 180.4202 cm +1 0 0 1 57.02362 182.6988 cm Q q -1 0 0 1 57.02362 90.42016 cm +1 0 0 1 57.02362 92.69883 cm q 1 1 1 rg n 0 90 481.2283 -18 re f* @@ -8970,57 +9051,63 @@ Q Q Q q -1 0 0 1 57.02362 90.42016 cm +1 0 0 1 57.02362 92.69883 cm +Q +q +1 0 0 1 57.02362 62.69883 cm +q +BT 1 0 0 1 0 14 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 ET +Q Q endstream endobj -145 0 obj +146 0 obj << -/Length 7013 +/Length 7406 >> 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 729.0236 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 +BT 1 0 0 1 0 26 Tm 1.25985 Tw 12 TL /F5 10 Tf 0 0 0 rg (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 687.0236 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 637.0236 cm +1 0 0 1 57.02362 661.0236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 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 595.0236 cm +1 0 0 1 57.02362 619.0236 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 553.0236 cm +1 0 0 1 57.02362 577.0236 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 511.0236 cm +1 0 0 1 57.02362 535.0236 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 374.6236 cm +1 0 0 1 57.02362 398.6236 cm q q 1 0 0 1 0 0 cm @@ -9040,32 +9127,32 @@ Q Q Q q -1 0 0 1 57.02362 318.6236 cm +1 0 0 1 57.02362 342.6236 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 264.6236 cm +1 0 0 1 57.02362 288.6236 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 Q Q q -1 0 0 1 57.02362 234.6236 cm +1 0 0 1 57.02362 258.6236 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 228.6236 cm +1 0 0 1 57.02362 252.6236 cm Q q -1 0 0 1 57.02362 228.6236 cm +1 0 0 1 57.02362 252.6236 cm Q q -1 0 0 1 57.02362 216.6236 cm +1 0 0 1 57.02362 240.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -9087,10 +9174,10 @@ Q Q Q q -1 0 0 1 57.02362 210.6236 cm +1 0 0 1 57.02362 234.6236 cm Q q -1 0 0 1 57.02362 198.6236 cm +1 0 0 1 57.02362 222.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -9113,10 +9200,10 @@ Q Q Q q -1 0 0 1 57.02362 192.6236 cm +1 0 0 1 57.02362 216.6236 cm Q q -1 0 0 1 57.02362 180.6236 cm +1 0 0 1 57.02362 204.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -9139,10 +9226,10 @@ Q Q Q q -1 0 0 1 57.02362 174.6236 cm +1 0 0 1 57.02362 198.6236 cm Q q -1 0 0 1 57.02362 162.6236 cm +1 0 0 1 57.02362 186.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -9165,45 +9252,45 @@ Q Q Q q -1 0 0 1 57.02362 144.6236 cm +1 0 0 1 57.02362 168.6236 cm Q q -1 0 0 1 57.02362 114.6236 cm +1 0 0 1 57.02362 138.6236 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 +q +1 0 0 1 57.02362 112.6236 cm +q +BT 1 0 0 1 0 2 Tm 12 TL /F2 10 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 70.62362 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 endstream endobj -146 0 obj +147 0 obj << -/Length 6817 +/Length 6621 >> 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 q -BT 1 0 0 1 0 2 Tm 12 TL /F2 10 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 711.0236 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 693.0236 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 652.6236 cm +1 0 0 1 57.02362 712.6236 cm q q 1 0 0 1 0 0 cm @@ -9223,21 +9310,21 @@ Q Q Q q -1 0 0 1 57.02362 620.6236 cm +1 0 0 1 57.02362 680.6236 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 602.6236 cm +1 0 0 1 57.02362 662.6236 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 533.4236 cm +1 0 0 1 57.02362 593.4236 cm q q 1 0 0 1 0 0 cm @@ -9258,72 +9345,63 @@ Q Q Q q -1 0 0 1 57.02362 477.4236 cm +1 0 0 1 57.02362 537.4236 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 435.4236 cm +1 0 0 1 57.02362 495.4236 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 404.2236 cm +1 0 0 1 57.02362 464.2236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (12. MOAD Audit: Fixing What We Built) Tj T* ET Q Q q -1 0 0 1 57.02362 348.2236 cm +1 0 0 1 57.02362 408.2236 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 258.2236 cm +1 0 0 1 57.02362 318.2236 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 144.2236 cm +1 0 0 1 57.02362 204.2236 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 118.2236 cm +1 0 0 1 57.02362 178.2236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 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 76.22362 cm +1 0 0 1 57.02362 136.2236 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 - -endstream -endobj -147 0 obj -<< -/Length 7456 ->> -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 118.2236 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 655.0236 cm +1 0 0 1 57.02362 68.22362 cm q q 1 0 0 1 0 0 cm @@ -9333,24 +9411,54 @@ q .662745 .662745 .662745 RG .5 w .960784 .960784 .960784 rg -n -6 -6 480.0283 88.8 re B* +n -6 -6 480.0283 40.8 re B* Q q 0 0 0 rg -BT 1 0 0 1 0 68.8 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* ( addq $24, %rax # next entry) Tj T* ( jmp .isym_search # O\(N\) per intern) Tj T* ET +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 +Q + +endstream +endobj +148 0 obj +<< +/Length 8009 +>> +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 +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 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 Q Q Q Q Q q -1 0 0 1 57.02362 635.0236 cm +1 0 0 1 57.02362 683.8236 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 556.2236 cm +1 0 0 1 57.02362 605.0236 cm q q 1 0 0 1 0 0 cm @@ -9370,32 +9478,32 @@ Q Q Q q -1 0 0 1 57.02362 500.2236 cm +1 0 0 1 57.02362 549.0236 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 470.2236 cm +1 0 0 1 57.02362 519.0236 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 440.2236 cm +1 0 0 1 57.02362 489.0236 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 434.2236 cm +1 0 0 1 57.02362 483.0236 cm Q q -1 0 0 1 57.02362 434.2236 cm +1 0 0 1 57.02362 483.0236 cm Q q -1 0 0 1 57.02362 398.2236 cm +1 0 0 1 57.02362 447.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -9417,10 +9525,10 @@ Q Q Q q -1 0 0 1 57.02362 392.2236 cm +1 0 0 1 57.02362 441.0236 cm Q q -1 0 0 1 57.02362 356.2236 cm +1 0 0 1 57.02362 405.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -9442,42 +9550,42 @@ Q Q Q q -1 0 0 1 57.02362 338.2236 cm +1 0 0 1 57.02362 387.0236 cm Q q -1 0 0 1 57.02362 248.2236 cm +1 0 0 1 57.02362 297.0236 cm q -BT 1 0 0 1 0 74 Tm 4.926213 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 (uncommonlisp.py) Tj /F1 10 Tf ('s) Tj T* 0 Tw .515223 Tw /F5 10 Tf (Env.lookup) Tj /F1 10 Tf ( used to short-cut from the local frame directly to the global frame before walking intermediate) Tj T* 0 Tw 1.47713 Tw (parents. That was fast but wrong \227 a let-loop parameter named the same as a global builtin \() Tj /F5 10 Tf (count) Tj /F1 10 Tf (, a) Tj T* 0 Tw .409897 Tw (SRFI-1 procedure\) got shadowed in reverse, the shortcut returned the global builtin instead of walking up to) Tj T* 0 Tw .07402 Tw (the loop's parameter 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.) Tj T* 0 Tw 1.17189 Tw (The inline cache at ) Tj /F5 10 Tf (OP_LOOKUP) Tj /F1 10 Tf ( was correspondingly tightened to validate the full chain before firing. 975) Tj T* 0 Tw (tests remained green.) Tj T* ET +BT 1 0 0 1 0 74 Tm 4.926213 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 (uncommonlisp.py) Tj /F1 10 Tf ('s) Tj T* 0 Tw .515223 Tw /F5 10 Tf (Env.lookup) Tj /F1 10 Tf ( used to short-cut from the local frame directly to the global frame before walking intermediate) Tj T* 0 Tw 1.47713 Tw (parents. That was fast but wrong \227 a let-loop parameter named the same as a global builtin \() Tj /F5 10 Tf (count) Tj /F1 10 Tf (, a) Tj T* 0 Tw .409897 Tw (SRFI-1 procedure\) got shadowed in reverse, the shortcut returned the global builtin instead of walking up to) Tj T* 0 Tw .07402 Tw (the loop's parameter 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.) Tj T* 0 Tw 1.17189 Tw (The inline cache at ) Tj /F5 10 Tf (OP_LOOKUP) Tj /F1 10 Tf ( was correspondingly tightened to validate the full chain before firing. 980) Tj T* 0 Tw (tests remained green.) Tj T* ET Q Q q -1 0 0 1 57.02362 230.2236 cm +1 0 0 1 57.02362 279.0236 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 204.2236 cm +1 0 0 1 57.02362 253.0236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 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 186.2236 cm +1 0 0 1 57.02362 235.0236 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 180.2236 cm +1 0 0 1 57.02362 229.0236 cm Q q -1 0 0 1 57.02362 180.2236 cm +1 0 0 1 57.02362 229.0236 cm Q q -1 0 0 1 57.02362 132.2236 cm +1 0 0 1 57.02362 181.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -9499,10 +9607,10 @@ Q Q Q q -1 0 0 1 57.02362 126.2236 cm +1 0 0 1 57.02362 175.0236 cm Q q -1 0 0 1 57.02362 90.22362 cm +1 0 0 1 57.02362 139.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -9524,19 +9632,10 @@ Q Q Q q -1 0 0 1 57.02362 84.22362 cm +1 0 0 1 57.02362 133.0236 cm Q - -endstream -endobj -148 0 obj -<< -/Length 7958 ->> -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 97.02362 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -9558,53 +9657,62 @@ Q Q Q q -1 0 0 1 57.02362 711.0236 cm +1 0 0 1 57.02362 79.02362 cm Q + +endstream +endobj +149 0 obj +<< +/Length 7883 +>> +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 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 643.0236 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 (12.3 Our Shared Infrastructure) Tj T* ET Q Q q -1 0 0 1 57.02362 589.0236 cm +1 0 0 1 57.02362 649.0236 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 523.0236 cm +1 0 0 1 57.02362 583.0236 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 481.0236 cm +1 0 0 1 57.02362 541.0236 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 449.8236 cm +1 0 0 1 57.02362 509.8236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (13. Future Work) Tj T* ET Q Q q -1 0 0 1 57.02362 435.8236 cm +1 0 0 1 57.02362 495.8236 cm Q q -1 0 0 1 57.02362 435.8236 cm +1 0 0 1 57.02362 495.8236 cm Q q -1 0 0 1 57.02362 411.8236 cm +1 0 0 1 57.02362 471.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -9626,10 +9734,10 @@ Q Q Q q -1 0 0 1 57.02362 405.8236 cm +1 0 0 1 57.02362 465.8236 cm Q q -1 0 0 1 57.02362 369.8236 cm +1 0 0 1 57.02362 429.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -9651,6 +9759,56 @@ Q Q Q q +1 0 0 1 57.02362 423.8236 cm +Q +q +1 0 0 1 57.02362 399.8236 cm +q +0 0 0 rg +BT /F1 10 Tf 12 TL ET +q +1 0 0 1 6 9 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 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 +Q +Q +q +Q +Q +Q +q +1 0 0 1 57.02362 393.8236 cm +Q +q +1 0 0 1 57.02362 369.8236 cm +q +0 0 0 rg +BT /F1 10 Tf 12 TL ET +q +1 0 0 1 6 9 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 14 Tm .734488 Tw 12 TL /F3 10 Tf 0 0 0 rg (Copying GC in asm) Tj /F1 10 Tf (: ) Tj /F5 10 Tf (heap-snapshot) Tj /F1 10 Tf ( is an escape hatch. A mark-and-copy collector would remove) Tj T* 0 Tw (the sharp edge for general programs without forcing the programmer to reason about lifetimes.) Tj T* ET +Q +Q +q +Q +Q +Q +q 1 0 0 1 57.02362 363.8236 cm Q q @@ -9668,7 +9826,7 @@ 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 14 Tm 6.367835 Tw 12 TL /F3 10 Tf 0 0 0 rg (Concurrent accept loop \(asm\)) Tj /F1 10 Tf (: Currently single-threaded. A pre-forked worker model or) Tj T* 0 Tw /F5 10 Tf (SO_REUSEPORT) Tj /F1 10 Tf ( pool would multiply throughput without changing the Scheme code.) Tj T* ET Q Q q @@ -9679,57 +9837,7 @@ q 1 0 0 1 57.02362 333.8236 cm Q q -1 0 0 1 57.02362 309.8236 cm -q -0 0 0 rg -BT /F1 10 Tf 12 TL ET -q -1 0 0 1 6 9 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 14 Tm .734488 Tw 12 TL /F3 10 Tf 0 0 0 rg (Copying GC in asm) Tj /F1 10 Tf (: ) Tj /F5 10 Tf (heap-snapshot) Tj /F1 10 Tf ( is an escape hatch. A mark-and-copy collector would remove) Tj T* 0 Tw (the sharp edge for general programs without forcing the programmer to reason about lifetimes.) Tj T* ET -Q -Q -q -Q -Q -Q -q -1 0 0 1 57.02362 303.8236 cm -Q -q -1 0 0 1 57.02362 279.8236 cm -q -0 0 0 rg -BT /F1 10 Tf 12 TL ET -q -1 0 0 1 6 9 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 14 Tm 6.367835 Tw 12 TL /F3 10 Tf 0 0 0 rg (Concurrent accept loop \(asm\)) Tj /F1 10 Tf (: Currently single-threaded. A pre-forked worker model or) Tj T* 0 Tw /F5 10 Tf (SO_REUSEPORT) Tj /F1 10 Tf ( pool would multiply throughput without changing the Scheme code.) Tj T* ET -Q -Q -q -Q -Q -Q -q -1 0 0 1 57.02362 273.8236 cm -Q -q -1 0 0 1 57.02362 261.8236 cm +1 0 0 1 57.02362 321.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -9751,10 +9859,10 @@ Q Q Q q -1 0 0 1 57.02362 255.8236 cm +1 0 0 1 57.02362 315.8236 cm Q q -1 0 0 1 57.02362 243.8236 cm +1 0 0 1 57.02362 303.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -9776,70 +9884,70 @@ Q Q Q q -1 0 0 1 57.02362 225.8236 cm +1 0 0 1 57.02362 285.8236 cm Q q -1 0 0 1 57.02362 194.6236 cm +1 0 0 1 57.02362 254.6236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (14. The Defect in the Model) Tj T* ET Q Q q -1 0 0 1 57.02362 174.6236 cm +1 0 0 1 57.02362 234.6236 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 108.6236 cm +1 0 0 1 57.02362 168.6236 cm q 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 78.62362 cm +1 0 0 1 57.02362 138.6236 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 - -endstream -endobj -149 0 obj -<< -/Length 6975 ->> -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 72.62362 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 + +endstream +endobj +150 0 obj +<< +/Length 6415 +>> +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 +1 0 0 1 57.02362 741.0236 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 657.0236 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 (The commit history proves it:) Tj T* ET Q Q q -1 0 0 1 57.02362 651.0236 cm +1 0 0 1 57.02362 717.0236 cm Q q -1 0 0 1 57.02362 651.0236 cm +1 0 0 1 57.02362 717.0236 cm Q q -1 0 0 1 57.02362 639.0236 cm +1 0 0 1 57.02362 705.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -9861,10 +9969,10 @@ Q Q Q q -1 0 0 1 57.02362 633.0236 cm +1 0 0 1 57.02362 699.0236 cm Q q -1 0 0 1 57.02362 621.0236 cm +1 0 0 1 57.02362 687.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -9886,10 +9994,10 @@ Q Q Q q -1 0 0 1 57.02362 615.0236 cm +1 0 0 1 57.02362 681.0236 cm Q q -1 0 0 1 57.02362 603.0236 cm +1 0 0 1 57.02362 669.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -9911,52 +10019,52 @@ Q Q Q q -1 0 0 1 57.02362 585.0236 cm +1 0 0 1 57.02362 651.0236 cm Q q -1 0 0 1 57.02362 567.0236 cm +1 0 0 1 57.02362 633.0236 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 513.0236 cm +1 0 0 1 57.02362 579.0236 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 471.0236 cm +1 0 0 1 57.02362 537.0236 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 429.0236 cm +1 0 0 1 57.02362 495.0236 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 387.0236 cm +1 0 0 1 57.02362 453.0236 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 345.0236 cm +1 0 0 1 57.02362 411.0236 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 339.0236 cm +1 0 0 1 57.02362 405.0236 cm Q q -1 0 0 1 57.02362 297.0236 cm +1 0 0 1 57.02362 363.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -9979,30 +10087,30 @@ Q Q Q q -1 0 0 1 57.02362 297.0236 cm +1 0 0 1 57.02362 363.0236 cm Q q -1 0 0 1 57.02362 267.0236 cm +1 0 0 1 57.02362 333.0236 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 249.0236 cm +1 0 0 1 57.02362 315.0236 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 q -1 0 0 1 57.02362 217.8236 cm +1 0 0 1 57.02362 283.8236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (Citation) Tj T* ET Q Q q -1 0 0 1 57.02362 167.8236 cm +1 0 0 1 57.02362 233.8236 cm q q 1 0 0 1 0 0 cm @@ -10023,13 +10131,13 @@ Q Q Q q -1 0 0 1 57.02362 136.6236 cm +1 0 0 1 57.02362 202.6236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (References) Tj T* ET Q Q q -1 0 0 1 57.02362 86.62362 cm +1 0 0 1 57.02362 152.6236 cm q q 1 0 0 1 0 0 cm @@ -10049,26 +10157,26 @@ Q Q Q Q - -endstream -endobj -150 0 obj -<< -/Length 2199 ->> -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 121.4236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (License) Tj T* ET Q Q q -1 0 0 1 57.02362 735.8236 cm +1 0 0 1 57.02362 105.4236 cm Q + +endstream +endobj +151 0 obj +<< +/Length 2103 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 532.7477 cm +1 0 0 1 57.02362 561.9477 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -10084,13 +10192,13 @@ Q Q Q q -1 0 0 1 57.02362 524.7477 cm +1 0 0 1 57.02362 553.9477 cm Q q -1 0 0 1 57.02362 516.7477 cm +1 0 0 1 57.02362 545.9477 cm Q q -1 0 0 1 57.02362 318.0922 cm +1 0 0 1 57.02362 347.2922 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -10106,17 +10214,17 @@ Q Q Q q -1 0 0 1 57.02362 310.0922 cm +1 0 0 1 57.02362 339.2922 cm Q q -1 0 0 1 57.02362 292.0922 cm +1 0 0 1 57.02362 321.2922 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F4 10 Tf 12 TL 155.3042 0 Td (GNU Affero General Public License v3) Tj T* -155.3042 0 Td ET Q Q q -1 0 0 1 57.02362 69.29221 cm +1 0 0 1 57.02362 69.69221 cm q q 1 0 0 1 0 0 cm @@ -10126,39 +10234,10 @@ q .662745 .662745 .662745 RG .5 w .960784 .960784 .960784 rg -n -6 -6 480.0283 213.6 re B* +n -6 -6 480.0283 242.4 re B* Q q -BT 1 0 0 1 0 193.6 Tm 9.6 TL /F5 8 Tf 0 0 0 rg (AGPL-3.0-only) Tj T* T* (PERMACOMPUTER PREAMBLE - NO WARRANTY) Tj T* T* (This is free software for the public good of a permacomputer hosted at) Tj T* (permacomputer.com, an always-on computer by the people, for the people. One) Tj T* (which is durable, easy to repair, ) Tj (&) Tj ( distributed like tap water for machine) Tj T* (learning intelligence.) Tj T* T* (The permacomputer is community-owned infrastructure optimized around four values:) Tj T* T* ( TRUTH - Source code must be open source ) Tj (&) Tj ( freely distributed) Tj T* ( FREEDOM - Voluntary participation without corporate control) Tj T* ( HARMONY - Systems operating with minimal waste that self-renew) Tj T* ( LOVE - Individual rights protected while fostering cooperation) Tj T* T* (This software contributes to that vision by proving that feedback) Tj T* (\(the computational primitive of continuations\) composes into a universal) Tj T* (execution model, extending across implementations through Scheme source) Tj T* (itself as the wire format. Three implementations, one language,) Tj T* (974 tests, ~17,000 lines. Code is seeds to sprout on any abandoned technology.) Tj T* ET -Q -Q -Q -Q -Q - -endstream -endobj -151 0 obj -<< -/Length 1087 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET -q -1 0 0 1 57.02362 579.0236 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 184.8 re B* -Q -q -BT 1 0 0 1 0 164.8 Tm 9.6 TL /F5 8 Tf 0 0 0 rg T* (Learn more: https://www.permacomputer.com) Tj T* T* (NO WARRANTY. THE SOFTWARE IS PROVIDED "AS IS" WITHOUT WARRANTY OF ANY KIND.) Tj T* T* (That said, our permacomputer's digital membrane stratum continuously runs unit,) Tj T* (integration, ) Tj (&) Tj ( functional tests on all of its own software, with our) Tj T* (permacomputer monitoring itself, repairing itself, with minimal human in the) Tj T* (loop guidance. Our machine learning agents do their best to leave no stone) Tj T* (unturned.) Tj T* T* (Copyright \(C\) 2025-2026 TimeHexOn ) Tj (&) Tj ( foxhop ) Tj (&) Tj ( russell@unturf) Tj T* (https://www.timehexon.com) Tj T* (https://www.foxhop.net) Tj T* (https://www.unturf.com/software) Tj T* (https://www.permacomputer.com) Tj T* (https://uncloseai.com) Tj T* (https://russell.ballestrini.net) Tj T* ET +BT 1 0 0 1 0 222.4 Tm 9.6 TL /F5 8 Tf 0 0 0 rg (AGPL-3.0-only) Tj T* T* (PERMACOMPUTER PREAMBLE - NO WARRANTY) Tj T* T* (This is free software for the public good of a permacomputer hosted at) Tj T* (permacomputer.com, an always-on computer by the people, for the people. One) Tj T* (which is durable, easy to repair, ) Tj (&) Tj ( distributed like tap water for machine) Tj T* (learning intelligence.) 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An S-expressio **S-expressions over sockets.** The wire protocol for a 90-line RPC server is one Scheme form per connection. With ``read-from-string`` and ``eval`` added to all three impls (89 bytes of asm for ``eval``, a 20-line asm reader swap for ``read-from-string``), a transparent byte-forwarding relay composes arbitrary chains: a Python client can reach an asm backend through a C relay and a Python relay, four runtimes strung together without any format translation between hops. Each relay adds ~650 µs/request on the same laptop. The language is the envelope. -975 verified assertions pass identically across the three implementations (571 Python unit, 132 asm, 189 shared Python+C functional, 83 C unit). Every implementation consumes every format it can reach; mismatch cases (wrong format, truncated input, missing file, corrupt header) degrade gracefully with ``#f`` or a clean error. +980 verified assertions pass identically across the three implementations (571 Python unit, 137 asm unit + integration + functional, 189 shared Python+C functional, 83 C unit). The optional GC build passes the same 137 asm tests independently, making it 1,117 assertions with both asm binaries exercised. Every implementation consumes every format it can reach; mismatch cases (wrong format, truncated input, missing file, corrupt header) degrade gracefully with ``#f`` or a clean error. The paper further presents the EML universality proof: a single operator ``eml(x, y) = exp(x) - ln(y)`` with the constant 1 generates all elementary functions (exp, ln, arithmetic, negation, complex plane access, trigonometry). Verified numerically in Python, verified in Lumbda's own bytecode, & proven formally in Lean 4 with zero ``sorry``. @@ -499,6 +499,12 @@ Same source, same tests (137/137 pass on both). The GC build adds an 8-byte ``(s **124× less memory at a ~30% throughput cost.** That is the honest GC tax at the naive end of the spectrum — the number we had been guessing at before building the control group. Every future memory-management proposal (generational, incremental, region-based) now has a concrete floor to beat. +.. figure:: diagrams/benchmark-gc.png + :width: 88% + :align: center + + *Peak RSS across the three asm memory strategies on the same 2,000-iteration build-sum-discard workload. Bump-only grows unboundedly (133.9 MB) because nothing is freed; naive mark-sweep bounds at 1.1 MB (steady state) at a ~30% throughput cost; the meta-GC arena wrapping the same body reaches 1.2 MB at roughly the same time as naive (100% reset rate on this workload means the arena path replaces 199 of the 200 sweeps with O(1) bulk reclaims).* + 6.6.1 Meta-GC: Arena Fast Path with Mark-Phase Verifier ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ @@ -510,6 +516,12 @@ On top of the naive sweep, the GC build exposes a Lumbda primitive ``(with-arena Free-list reuse is disabled while an arena is active so the chain stays pristine for a verbatim restore; ``heap_alloc`` enforces this via a global ``arena_active`` flag. One critical correctness detail: after ``apply_proc_raw`` returns from the thunk, volatile registers contain stale tagged pointers into the arena. The conservative stack scan would otherwise treat those residuals as live roots and trigger a false escape on every call. Zero-ing ``%rax, %rcx, %rdx, %rsi, %rdi, %rbp, %r8-%r12`` before the verifier runs removes this hazard. +.. figure:: diagrams/meta-gc-policy.png + :width: 88% + :align: center + + *Three-way policy the meta-GC runs at every ``(with-arena thunk)`` exit. Green path = O(1) bulk reset (the transient-workload win); red path = escape detected, fall through to naive sweep (correctness preserved when data survives the thunk); orange path = implicit GC fired during the thunk, snapshot is already stale so skip the reset attempt. Every counter the policy updates is observable via ``(arena-stats)``.* + **Meta-GC benchmark** (same workload, same binary, both phases in one process): .. table:: @@ -925,11 +937,11 @@ All C & Python benchmarks measured in-process (no startup overhead). Assembly ti 11.1 Test Coverage ^^^^^^^^^^^^^^^^^^^^ -**975 verified assertions** across all implementations, all green under ``make test-all``: +**980 verified assertions** across all implementations, all green under ``make test-all``: - Python unit + integration: **571 tests** (``tests.py``) - C unit + integration + JIT + continuations + portal: **83 tests** (``c/test.c``) -- Assembly unit + integration + functional: **132 tests** (``asm/test.sh``) +- Assembly unit + integration + functional: **137 tests** (``asm/test.sh``), passing identically under both the bump-only and ``GC_NAIVE`` builds - Shared functional (same ``.lsp`` in Python + C): **189 tests** (``tests/functional.lsp``) The shared functional suite matters: it runs byte-identical Scheme source through two different runtimes & compares output. Python & C agree 189 times per run. When they disagree, that tells us something specific & actionable. @@ -1159,7 +1171,7 @@ The Python implementation had a similar defect: ``_define_record_type`` used ``l - ``c/builtins.c``'s ``bi_string_replace`` scanned the source byte-by-byte, calling ``strncmp(src, from, from_len)`` at every position. O(N·k). Replaced with ``strstr`` (libc-tuned, typically Boyer-Moore-Horspool) called in a loop that skips to the next match. O(N + matches·k). - ``uncommonlisp.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: ``uncommonlisp.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. 975 tests remained green. +A third correctness fix landed after the portal-over-HTTP demo exposed it: ``uncommonlisp.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. Every release audit surfaces more. Writing new code is writing new sediment, unless the audit runs.
  • 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