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Best of two runs.) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 667.0236 cm +Q +q +1 0 0 1 57.02362 577.0236 cm +q +1 1 1 rg +n 0 90 481.2283 -18 re f* +.878431 .878431 .878431 rg +n 0 72 481.2283 -18 re f* +1 1 1 rg +n 0 54 481.2283 -18 re f* +.878431 .878431 .878431 rg +n 0 36 481.2283 -18 re f* +1 1 1 rg +n 0 18 481.2283 -18 re f* +0 0 0 rg +BT /F3 10 Tf 12 TL ET +q +1 0 0 1 6 75 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 44.96961 0 Td (Benchmark) Tj T* -44.96961 0 Td ET +Q +Q +q +1 0 0 1 162.3992 75 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 20.91319 0 Td (Python fast) Tj T* -20.91319 0 Td ET +Q +Q +q +1 0 0 1 270.6756 75 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 44.52819 0 Td (C) Tj T* -44.52819 0 Td ET +Q +Q +q +1 0 0 1 378.952 75 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 38.13319 0 Td (asm) Tj T* -38.13319 0 Td ET +Q +Q +0 0 0 rg +BT /F1 10 Tf 12 TL ET +q +1 0 0 1 6 57 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (sum-to\(100 000\)) Tj T* ET +Q +Q +q +1 0 0 1 162.3992 57 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (583 ms) Tj T* ET +Q +Q +q +1 0 0 1 270.6756 57 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (121 ms) Tj T* ET +Q +Q +q +1 0 0 1 378.952 57 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL (74 ms) Tj T* ET +Q +Q +q +1 0 0 1 6 39 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (sum-to\(1 000 000\)) Tj T* ET +Q +Q +q +1 0 0 1 162.3992 39 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (5,432 ms) Tj T* ET +Q +Q +q +1 0 0 1 270.6756 39 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (1,200 ms) Tj T* ET +Q +Q +q +1 0 0 1 378.952 39 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL (734 ms) Tj T* ET +Q +Q +q +1 0 0 1 6 21 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (fib\(35\) iterative) Tj T* ET +Q +Q +q +1 0 0 1 162.3992 21 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (~0 ms) Tj T* ET +Q +Q +q +1 0 0 1 270.6756 21 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (~0 ms) Tj T* ET +Q +Q +q +1 0 0 1 378.952 21 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (~0 ms) Tj T* ET +Q +Q +q +1 0 0 1 6 3 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (ackermann\(3, 8\) = 2045) Tj T* ET +Q +Q +q +1 0 0 1 162.3992 3 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (18,479 ms) Tj T* ET +Q +Q +q +1 0 0 1 270.6756 3 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (\(segfault\)) Tj T* ET +Q +Q +q +1 0 0 1 378.952 3 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL (2,383 ms) Tj T* ET +Q +Q +q +1 J +1 j +0 0 0 RG +.25 w +n 0 72 m 481.2283 72 l S +n 0 54 m 481.2283 54 l S +n 0 36 m 481.2283 36 l S +n 0 18 m 481.2283 18 l S +n 156.3992 0 m 156.3992 90 l S +n 264.6756 0 m 264.6756 90 l S +n 372.952 0 m 372.952 90 l S +n 0 90 m 481.2283 90 l S +n 0 0 m 481.2283 0 l S +n 0 0 m 0 90 l S +n 481.2283 0 m 481.2283 90 l S +Q +Q +Q +q +1 0 0 1 57.02362 577.0236 cm +Q +q +1 0 0 1 57.02362 499.0236 cm +q +BT 1 0 0 1 0 62 Tm 1.742739 Tw 12 TL /F1 10 Tf 0 0 0 rg (asm wins every measurable workload on this hardware. The C interpreter segfaults on ackermann\(3, 8\)) Tj T* 0 Tw 1.10589 Tw (because its evaluator uses the host C stack for Scheme frames; ackermann recurses thousands of levels) Tj T* 0 Tw 1.622556 Tw (deep. asm and Python-fast both use explicit frame storage and handle the recursion cleanly. asm beats) Tj T* 0 Tw .62589 Tw (Python-fast by ~7\327 on ) Tj /F5 10 Tf (sum-to\(1M\)) Tj /F1 10 Tf ( and ~8\327 on ) Tj /F5 10 Tf (ackermann\(3,) Tj ( ) Tj (8\)) Tj /F1 10 Tf ( despite asm being a tree-walker with) Tj T* 0 Tw 2.597025 Tw (no JIT \227 the constant-factor difference from eliminating Python's dict lookups, stack frames, and GC) Tj T* 0 Tw (coordination is large.) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 409.0236 cm +q +BT 1 0 0 1 0 74 Tm 1.376027 Tw 12 TL /F3 10 Tf 0 0 0 rg (asm's remaining bottleneck is allocation, not lookup.) Tj /F1 10 Tf ( Profiling ) Tj /F5 10 Tf (sum-to\(1M\)) Tj /F1 10 Tf ( shows ~170 MB RSS \227) Tj T* 0 Tw .036147 Tw (each tail call through ) Tj /F5 10 Tf (apply_closure) Tj /F1 10 Tf ( + ) Tj /F5 10 Tf (env_define) Tj /F1 10 Tf ( allocates 24 bytes per parameter \(sym / val / parent\),) Tj T* 0 Tw -0.083038 Tw (twice per ) Tj /F5 10 Tf (loop) Tj /F1 10 Tf ( iteration, for 48 MB total before the three ) Tj /F5 10 Tf (heap_grow) Tj /F1 10 Tf ( events that follow. A future optimization) Tj T* 0 Tw .258138 Tw (candidate is per-frame batched allocation \() Tj /F5 10 Tf (8) Tj ( ) Tj (+) Tj ( ) Tj (16N) Tj /F1 10 Tf ( bytes once per call instead of ) Tj /F5 10 Tf (24N) Tj /F1 10 Tf (\), or env-cell in-place) Tj T* 0 Tw .198241 Tw (reuse for self-tail-calls. An inline cache for env lookups \(ported from Python's VM\) turns out to help less than) Tj T* 0 Tw 1.679272 Tw (anticipated because asm's env chains are typically only 2 deep and each step is a pointer dereference;) Tj T* 0 Tw (measured upper bound is ~5%.) Tj T* ET +Q +Q +q +1 0 0 1 57.02362 377.8236 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 641.8236 cm +1 0 0 1 57.02362 333.8236 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 1.747565 Tw (scope: capture machine state, serialize it, reload it elsewhere, resume. uncommonlisp ships three portal) Tj T* 0 Tw (formats with different tradeoffs & constituencies.) Tj T* ET Q Q q -1 0 0 1 57.02362 635.8236 cm +1 0 0 1 57.02362 327.8236 cm Q q -1 0 0 1 57.02362 539.8236 cm +1 0 0 1 57.02362 231.8236 cm q 1 1 1 rg n 0 96 481.2283 -18 re f* @@ -3545,29 +3766,29 @@ Q Q Q q -1 0 0 1 57.02362 539.8236 cm +1 0 0 1 57.02362 231.8236 cm Q q -1 0 0 1 57.02362 509.8236 cm +1 0 0 1 57.02362 201.8236 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 483.8236 cm +1 0 0 1 57.02362 175.8236 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 465.8236 cm +1 0 0 1 57.02362 157.8236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F1 10 Tf 0 0 0 rg (The most boring format is the most portable. An S-expression portal is a sequence of ) Tj /F5 10 Tf (define) Tj /F1 10 Tf ( forms:) Tj T* ET Q Q q -1 0 0 1 57.02362 396.6236 cm +1 0 0 1 57.02362 88.62362 cm q q 1 0 0 1 0 0 cm @@ -3587,36 +3808,45 @@ Q Q Q Q + +endstream +endobj +108 0 obj +<< +/Length 9180 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 364.6236 cm +1 0 0 1 57.02362 741.0236 cm q 0 0 0 rg BT 1 0 0 1 0 14 Tm /F1 10 Tf 12 TL .550522 Tw (Every Scheme implementation in the world can already read this. No schema, no decoder, no version field.) Tj T* 0 Tw (The file is a Scheme program; loading it is evaluating it.) Tj T* ET Q Q q -1 0 0 1 57.02362 310.6236 cm +1 0 0 1 57.02362 687.0236 cm q BT 1 0 0 1 0 38 Tm .702256 Tw 12 TL /F3 10 Tf 0 0 0 rg (The key insight: the language IS the interchange format.) Tj /F1 10 Tf ( We did not design this. R. Kent Dybvig didn't.) Tj T* 0 Tw 1.188726 Tw (John McCarthy didn't. It is a structural consequence of homoiconicity: if the syntax of the language is the) Tj T* 0 Tw 5.458196 Tw (syntax of its data structures, then data serialization is language serialization. Portability across) Tj T* 0 Tw (implementations is free \227 it arrives with the parser.) Tj T* ET Q Q q -1 0 0 1 57.02362 268.6236 cm +1 0 0 1 57.02362 645.0236 cm q BT 1 0 0 1 0 26 Tm .511772 Tw 12 TL /F1 10 Tf 0 0 0 rg (Producer side: assemble the file with ) Tj /F5 10 Tf (\(display) Tj ( ) Tj (...\)) Tj /F1 10 Tf ( & ) Tj /F5 10 Tf (\(write) Tj ( ) Tj (...\)) Tj /F1 10 Tf ( to an output port. Consumer side:) Tj T* 0 Tw 3.693453 Tw /F5 10 Tf (\(load) Tj ( ) Tj ("file.sexp"\)) Tj /F1 10 Tf (. Both sides exist in every implementation, giving us a 3\3273 matrix of valid) Tj T* 0 Tw (exchanges.) Tj T* ET Q Q q -1 0 0 1 57.02362 242.6236 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 (7.2 Cross-Implementation Exchange Matrix) Tj T* ET Q Q q -1 0 0 1 57.02362 230.6236 cm +1 0 0 1 57.02362 607.0236 cm Q q -1 0 0 1 57.02362 140.6236 cm +1 0 0 1 57.02362 517.0236 cm q 1 1 1 rg n 0 90 481.2283 -18 re f* @@ -3771,50 +4001,41 @@ Q Q Q q -1 0 0 1 57.02362 140.6236 cm +1 0 0 1 57.02362 517.0236 cm Q q -1 0 0 1 57.02362 110.6236 cm +1 0 0 1 57.02362 487.0236 cm q BT 1 0 0 1 0 14 Tm 2.324029 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 (. Same file, same semantics, regardless of which) Tj T* 0 Tw (process produced it.) Tj T* ET Q Q q -1 0 0 1 57.02362 68.62362 cm +1 0 0 1 57.02362 445.0236 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 - -endstream -endobj -106 0 obj -<< -/Length 8469 ->> -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 419.0236 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 723.0236 cm +1 0 0 1 57.02362 389.0236 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 717.0236 cm +1 0 0 1 57.02362 383.0236 cm Q q -1 0 0 1 57.02362 717.0236 cm +1 0 0 1 57.02362 383.0236 cm Q q -1 0 0 1 57.02362 705.0236 cm +1 0 0 1 57.02362 371.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -3836,10 +4057,10 @@ Q Q Q q -1 0 0 1 57.02362 699.0236 cm +1 0 0 1 57.02362 365.0236 cm Q q -1 0 0 1 57.02362 687.0236 cm +1 0 0 1 57.02362 353.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -3862,10 +4083,10 @@ Q Q Q q -1 0 0 1 57.02362 681.0236 cm +1 0 0 1 57.02362 347.0236 cm Q q -1 0 0 1 57.02362 669.0236 cm +1 0 0 1 57.02362 335.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -3887,10 +4108,10 @@ Q Q Q q -1 0 0 1 57.02362 663.0236 cm +1 0 0 1 57.02362 329.0236 cm Q q -1 0 0 1 57.02362 651.0236 cm +1 0 0 1 57.02362 317.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -3913,10 +4134,10 @@ Q Q Q q -1 0 0 1 57.02362 645.0236 cm +1 0 0 1 57.02362 311.0236 cm Q q -1 0 0 1 57.02362 633.0236 cm +1 0 0 1 57.02362 299.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -3939,22 +4160,22 @@ Q Q Q q -1 0 0 1 57.02362 615.0236 cm +1 0 0 1 57.02362 281.0236 cm Q q -1 0 0 1 57.02362 585.0236 cm +1 0 0 1 57.02362 251.0236 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 543.0236 cm +1 0 0 1 57.02362 209.0236 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 512.2236 cm +1 0 0 1 57.02362 178.2236 cm q q 1 0 0 1 0 0 cm @@ -3975,26 +4196,35 @@ Q Q Q q -1 0 0 1 57.02362 492.2236 cm +1 0 0 1 57.02362 158.2236 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 q -1 0 0 1 57.02362 466.2236 cm +1 0 0 1 57.02362 132.2236 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 436.2236 cm +1 0 0 1 57.02362 102.2236 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 + +endstream +endobj +109 0 obj +<< +/Length 10446 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 338.2236 cm +1 0 0 1 57.02362 675.0236 cm q q 1 0 0 1 0 0 cm @@ -4015,59 +4245,69 @@ Q Q Q q -1 0 0 1 57.02362 294.2236 cm +1 0 0 1 57.02362 631.0236 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 240.2236 cm +1 0 0 1 57.02362 577.0236 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 q -1 0 0 1 57.02362 214.2236 cm +1 0 0 1 57.02362 551.0236 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 184.2236 cm +1 0 0 1 57.02362 521.0236 cm q 0 0 0 rg BT 1 0 0 1 0 14 Tm /F1 10 Tf 12 TL 2.703647 Tw (Producer process A saves state to a file; consumer process B starts fresh, loads the file, continues.) Tj T* 0 Tw (Wall-clock time for both processes end-to-end, 50 iterations, same-laptop:) Tj T* ET Q Q q -1 0 0 1 57.02362 178.2236 cm +1 0 0 1 57.02362 515.0236 cm Q q -1 0 0 1 57.02362 70.22362 cm +1 0 0 1 57.02362 317.0236 cm q 1 1 1 rg +n 0 198 481.2283 -18 re f* +.878431 .878431 .878431 rg +n 0 180 481.2283 -18 re f* +1 1 1 rg +n 0 162 481.2283 -18 re f* +.878431 .878431 .878431 rg +n 0 144 481.2283 -18 re f* +1 1 1 rg +n 0 126 481.2283 -18 re f* +.878431 .878431 .878431 rg n 0 108 481.2283 -18 re f* -.878431 .878431 .878431 rg +1 1 1 rg n 0 90 481.2283 -18 re f* -1 1 1 rg +.878431 .878431 .878431 rg n 0 72 481.2283 -18 re f* -.878431 .878431 .878431 rg -n 0 54 481.2283 -18 re f* 1 1 1 rg -n 0 36 481.2283 -18 re f* +n 0 54 481.2283 -18 re f* .878431 .878431 .878431 rg +n 0 36 481.2283 -18 re f* +1 1 1 rg n 0 18 481.2283 -18 re f* 0 0 0 rg BT /F3 10 Tf 12 TL ET q -1 0 0 1 6 93 cm +1 0 0 1 6 183 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 93.12904 0 Td (Pair \(producer ) Tj /F6 10 Tf 12 TL (\256) Tj /F3 10 Tf 12 TL ( consumer\)) Tj T* -93.12904 0 Td ET Q Q q -1 0 0 1 339.1581 93 cm +1 0 0 1 339.1581 183 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 47.19513 0 Td (Time/iter) Tj T* -47.19513 0 Td ET @@ -4076,118 +4316,76 @@ Q 0 0 0 rg BT /F1 10 Tf 12 TL ET q -1 0 0 1 6 75 cm +1 0 0 1 6 165 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (Python ) Tj /F6 10 Tf 12 TL (\256) Tj /F1 10 Tf 12 TL ( Python \(sexp\)) Tj T* ET Q Q q -1 0 0 1 339.1581 75 cm +1 0 0 1 339.1581 165 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (260 ms) Tj T* ET Q Q q -1 0 0 1 6 57 cm +1 0 0 1 6 147 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (C ) Tj /F6 10 Tf 12 TL (\256) Tj /F1 10 Tf 12 TL ( C \(sexp\)) Tj T* ET Q Q q -1 0 0 1 339.1581 57 cm +1 0 0 1 339.1581 147 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (6 ms) Tj T* ET Q Q q -1 0 0 1 6 39 cm +1 0 0 1 6 129 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL (asm ) Tj /F6 10 Tf 12 TL (\256) Tj /F3 10 Tf 12 TL ( asm \(sexp\)) Tj T* ET Q Q q -1 0 0 1 339.1581 39 cm +1 0 0 1 339.1581 129 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL (1.6 ms) Tj T* ET Q Q q -1 0 0 1 6 21 cm +1 0 0 1 6 111 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL (asm ) Tj /F6 10 Tf 12 TL (\256) Tj /F3 10 Tf 12 TL ( asm \(binary portal\)) Tj T* ET Q Q q -1 0 0 1 339.1581 21 cm +1 0 0 1 339.1581 111 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL (1.5 ms) Tj T* ET Q Q q -1 0 0 1 6 3 cm +1 0 0 1 6 93 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (Python ) Tj /F6 10 Tf 12 TL (\256) Tj /F1 10 Tf 12 TL ( C \(sexp\)) Tj T* ET Q Q q -1 0 0 1 339.1581 3 cm +1 0 0 1 339.1581 93 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (133 ms) 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 90 m 481.2283 90 l S -n 0 72 m 481.2283 72 l S -n 0 54 m 481.2283 54 l S -n 0 36 m 481.2283 36 l S -n 0 18 m 481.2283 18 l S -n 333.1581 0 m 333.1581 108 l S -n 0 108 m 481.2283 108 l S -n 0 0 m 0 108 l S -n 481.2283 0 m 481.2283 108 l S -Q -Q -Q - -endstream -endobj -107 0 obj -<< -/Length 9245 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET -q -1 0 0 1 57.02362 675.0236 cm -q -1 1 1 rg -n 0 90 481.2283 -18 re f* -.878431 .878431 .878431 rg -n 0 72 481.2283 -18 re f* -1 1 1 rg -n 0 54 481.2283 -18 re f* -.878431 .878431 .878431 rg -n 0 36 481.2283 -18 re f* -1 1 1 rg -n 0 18 481.2283 -18 re f* -0 0 0 rg -BT /F1 10 Tf 12 TL ET -q 1 0 0 1 6 75 cm q 0 0 0 rg @@ -4262,45 +4460,51 @@ q 1 j 0 0 0 RG .25 w +n 0 180 m 481.2283 180 l S +n 0 162 m 481.2283 162 l S +n 0 144 m 481.2283 144 l S +n 0 126 m 481.2283 126 l S +n 0 108 m 481.2283 108 l S n 0 90 m 481.2283 90 l S n 0 72 m 481.2283 72 l S n 0 54 m 481.2283 54 l S n 0 36 m 481.2283 36 l S n 0 18 m 481.2283 18 l S -n 333.1581 0 m 333.1581 90 l S -n 0 0 m 0 90 l S -n 481.2283 0 m 481.2283 90 l S +n 333.1581 0 m 333.1581 198 l S +n 0 198 m 481.2283 198 l S n 0 0 m 481.2283 0 l S +n 0 0 m 0 198 l S +n 481.2283 0 m 481.2283 198 l S Q Q Q q -1 0 0 1 57.02362 675.0236 cm +1 0 0 1 57.02362 317.0236 cm Q q -1 0 0 1 57.02362 633.0236 cm +1 0 0 1 57.02362 275.0236 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 607.0236 cm +1 0 0 1 57.02362 249.0236 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 589.0236 cm +1 0 0 1 57.02362 231.0236 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 583.0236 cm +1 0 0 1 57.02362 225.0236 cm Q q -1 0 0 1 57.02362 433.0236 cm +1 0 0 1 57.02362 75.02362 cm q 1 1 1 rg n 0 150 481.2283 -18 re f* @@ -4533,22 +4737,31 @@ Q Q Q q -1 0 0 1 57.02362 433.0236 cm +1 0 0 1 57.02362 75.02362 cm Q + +endstream +endobj +110 0 obj +<< +/Length 5759 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 367.0236 cm +1 0 0 1 57.02362 705.0236 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 q -1 0 0 1 57.02362 341.0236 cm +1 0 0 1 57.02362 679.0236 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 214.2236 cm +1 0 0 1 57.02362 552.2236 cm q q 1 0 0 1 0 0 cm @@ -4568,47 +4781,38 @@ Q Q Q q -1 0 0 1 57.02362 170.2236 cm +1 0 0 1 57.02362 508.2236 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 139.0236 cm +1 0 0 1 57.02362 477.0236 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 107.0236 cm +1 0 0 1 57.02362 445.0236 cm q BT 1 0 0 1 0 14 Tm 1.489873 Tw 12 TL /F1 10 Tf 0 0 0 rg (uncommonlisp 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 89.02362 cm +1 0 0 1 57.02362 427.0236 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 - -endstream -endobj -108 0 obj -<< -/Length 8373 ->> -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 401.0236 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 722.2236 cm +1 0 0 1 57.02362 370.2236 cm q q 1 0 0 1 0 0 cm @@ -4629,19 +4833,19 @@ Q Q Q q -1 0 0 1 57.02362 702.2236 cm +1 0 0 1 57.02362 350.2236 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 676.2236 cm +1 0 0 1 57.02362 324.2236 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 626.2236 cm +1 0 0 1 57.02362 274.2236 cm q q 1 0 0 1 0 0 cm @@ -4662,19 +4866,19 @@ Q Q Q q -1 0 0 1 57.02362 582.2236 cm +1 0 0 1 57.02362 230.2236 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 q -1 0 0 1 57.02362 556.2236 cm +1 0 0 1 57.02362 204.2236 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 467.8236 cm +1 0 0 1 57.02362 115.8236 cm q q 1 0 0 1 0 0 cm @@ -4693,14 +4897,23 @@ Q Q Q Q + +endstream +endobj +111 0 obj +<< +/Length 9474 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 441.8236 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 (8.4 Stage 3: Complex Plane Access) Tj T* ET Q Q q -1 0 0 1 57.02362 391.8236 cm +1 0 0 1 57.02362 703.0236 cm q q 1 0 0 1 0 0 cm @@ -4721,19 +4934,19 @@ Q Q Q q -1 0 0 1 57.02362 359.8236 cm +1 0 0 1 57.02362 671.0236 cm q BT 1 0 0 1 0 14 Tm .253071 Tw 12 TL /F1 10 Tf 0 0 0 rg (The key insight: ) Tj /F5 10 Tf (ln) Tj /F1 10 Tf ( of a negative number enters the complex plane. Since we can construct ) Tj /F5 10 Tf (-1) Tj /F1 10 Tf ( from eml via) Tj T* 0 Tw (the subtraction chain, ) Tj /F5 10 Tf (ln\(-1\)) Tj /F1 10 Tf ( yields ) Tj /F5 10 Tf (i) Tj /F6 10 Tf 12 TL (p) Tj /F5 10 Tf 12 TL /F1 10 Tf (, from which ) Tj /F5 10 Tf /F6 10 Tf 12 TL (p) Tj /F5 10 Tf 12 TL /F1 10 Tf ( & ) Tj /F5 10 Tf (i) Tj /F1 10 Tf ( follow.) Tj T* ET Q Q q -1 0 0 1 57.02362 333.8236 cm +1 0 0 1 57.02362 645.0236 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 283.8236 cm +1 0 0 1 57.02362 595.0236 cm q q 1 0 0 1 0 0 cm @@ -4754,29 +4967,29 @@ Q Q Q q -1 0 0 1 57.02362 263.8236 cm +1 0 0 1 57.02362 575.0236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F1 10 Tf 0 0 0 rg (All trigonometric functions follow from complex exponentials, which follow from ) Tj /F5 10 Tf (exp) Tj /F1 10 Tf (, which follows from ) Tj /F5 10 Tf (eml) Tj /F1 10 Tf (.) Tj T* ET Q Q q -1 0 0 1 57.02362 237.8236 cm +1 0 0 1 57.02362 549.0236 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 219.8236 cm +1 0 0 1 57.02362 531.0236 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 213.8236 cm +1 0 0 1 57.02362 525.0236 cm Q q -1 0 0 1 57.02362 141.8236 cm +1 0 0 1 57.02362 453.0236 cm q 1 1 1 rg n 0 72 481.2283 -18 re f* @@ -4920,49 +5133,34 @@ Q Q Q q -1 0 0 1 57.02362 141.8236 cm +1 0 0 1 57.02362 453.0236 cm Q q -1 0 0 1 57.02362 99.82362 cm +1 0 0 1 57.02362 411.0236 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 69.82362 cm +1 0 0 1 57.02362 357.0236 cm q -BT 1 0 0 1 0 14 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 ET -Q -Q - -endstream -endobj -109 0 obj -<< -/Length 9776 ->> -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 .327397 Tw 12 TL /F1 10 Tf 0 0 0 rg (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 +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 687.0236 cm +1 0 0 1 57.02362 303.0236 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 681.0236 cm +1 0 0 1 57.02362 297.0236 cm Q q -1 0 0 1 57.02362 681.0236 cm +1 0 0 1 57.02362 297.0236 cm Q q -1 0 0 1 57.02362 645.0236 cm +1 0 0 1 57.02362 261.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -4984,10 +5182,10 @@ Q Q Q q -1 0 0 1 57.02362 639.0236 cm +1 0 0 1 57.02362 255.0236 cm Q q -1 0 0 1 57.02362 603.0236 cm +1 0 0 1 57.02362 219.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -5009,10 +5207,10 @@ Q Q Q q -1 0 0 1 57.02362 597.0236 cm +1 0 0 1 57.02362 213.0236 cm Q q -1 0 0 1 57.02362 573.0236 cm +1 0 0 1 57.02362 189.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -5034,10 +5232,10 @@ Q Q Q q -1 0 0 1 57.02362 573.0236 cm +1 0 0 1 57.02362 189.0236 cm Q q -1 0 0 1 57.02362 503.8236 cm +1 0 0 1 57.02362 119.8236 cm q q 1 0 0 1 0 0 cm @@ -5058,75 +5256,94 @@ Q Q Q q -1 0 0 1 57.02362 459.8236 cm +1 0 0 1 57.02362 75.82362 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 + +endstream +endobj +112 0 obj +<< +/Length 8999 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 428.6236 cm +1 0 0 1 57.02362 693.0236 cm +q +BT 1 0 0 1 0 62 Tm 2.513543 Tw 12 TL /F3 10 Tf 0 0 0 rg (First machine-checked treatment.) Tj /F1 10 Tf ( The original paper \(Odrzywo) Tj /F7 10 Tf 12 TL (n) Tj /F1 10 Tf 12 TL (ek, arXiv:2603.21852v2, 2026-04-04\)) 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 -0.071274 Tw (Lean 4 proof shipped in this repo is the first machine-checked treatment of the EML identities. Five theorems,) Tj T* 0 Tw 1.308556 Tw (zero ) Tj /F5 10 Tf (sorry) Tj /F1 10 Tf (, no Mathlib dependency \227 40\327 faster than the brute-force numerical search it replaced, and) Tj T* 0 Tw -0.119444 Tw (carrying the additional guarantee that no implementation quirk of floating point can ever break the conclusion.) Tj T* 0 Tw ET +Q +Q +q +1 0 0 1 57.02362 661.8236 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 408.6236 cm +1 0 0 1 57.02362 641.8236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (uncommonlisp implements a near-complete R7RS-small Scheme:) Tj T* ET Q Q q -1 0 0 1 57.02362 354.6236 cm +1 0 0 1 57.02362 587.8236 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 324.6236 cm +1 0 0 1 57.02362 557.8236 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 294.6236 cm +1 0 0 1 57.02362 527.8236 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 264.6236 cm +1 0 0 1 57.02362 497.8236 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 210.6236 cm +1 0 0 1 57.02362 443.8236 cm q BT 1 0 0 1 0 38 Tm 1.569862 Tw 12 TL /F3 10 Tf 0 0 0 rg (Test suite) Tj /F1 10 Tf (: 974 verified assertions covering lexing, parsing, special forms, bytecode compilation, macros) Tj T* 0 Tw .214835 Tw (\(hygienic & procedural\), continuations, generators, record types, modules, arithmetic, higher-order functions,) Tj T* 0 Tw 4.238031 Tw (error handling, portal serialization, cross-implementation portal exchange, file I/O parity, & graceful) Tj T* 0 Tw (degradation on mismatched or corrupt input.) Tj T* ET Q Q q -1 0 0 1 57.02362 179.4236 cm +1 0 0 1 57.02362 412.6236 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 159.4236 cm +1 0 0 1 57.02362 392.6236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (uncommonlisp forms one piece of a larger permacomputer machine learning stack:) Tj T* ET Q Q q -1 0 0 1 57.02362 153.4236 cm +1 0 0 1 57.02362 386.6236 cm Q q -1 0 0 1 57.02362 75.42362 cm +1 0 0 1 57.02362 248.6236 cm q 1 1 1 rg -n 0 78 481.2283 -18 re f* +n 0 138 481.2283 -18 re f* +.878431 .878431 .878431 rg +n 0 120 481.2283 -30 re f* +1 1 1 rg +n 0 90 481.2283 -30 re f* .878431 .878431 .878431 rg n 0 60 481.2283 -30 re f* 1 1 1 rg @@ -5134,21 +5351,21 @@ 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 63 cm +1 0 0 1 6 123 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 28.78283 0 Td (Layer) Tj T* -28.78283 0 Td ET Q Q q -1 0 0 1 102.2457 63 cm +1 0 0 1 102.2457 123 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 64.31996 0 Td (Paper) Tj T* -64.31996 0 Td ET Q Q q -1 0 0 1 270.6756 63 cm +1 0 0 1 270.6756 123 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 91.44138 0 Td (Role) Tj T* -91.44138 0 Td ET @@ -5157,79 +5374,45 @@ Q 0 0 0 rg BT /F1 10 Tf 12 TL ET q -1 0 0 1 6 45 cm +1 0 0 1 6 105 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (Runtime) Tj T* ET Q Q q -1 0 0 1 102.2457 33 cm +1 0 0 1 102.2457 93 cm q BT 1 0 0 1 0 14 Tm 12 TL /F3 10 Tf 0 0 0 rg (Feedback Is All You Need) Tj /F1 10 Tf ( \(this) Tj T* (paper\)) Tj T* ET Q Q q -1 0 0 1 270.6756 33 cm +1 0 0 1 270.6756 93 cm q BT 1 0 0 1 0 14 Tm 12 TL /F1 10 Tf 0 0 0 rg (Complete Scheme VM with continuations &) Tj T* (portal) Tj T* ET Q Q q -1 0 0 1 6 15 cm +1 0 0 1 6 75 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (Interaction) Tj T* ET Q Q q -1 0 0 1 102.2457 3 cm +1 0 0 1 102.2457 63 cm q BT 1 0 0 1 0 14 Tm 12 TL /F1 10 Tf 0 0 0 rg (Categorization & Feedback Is All) Tj T* (You Need) Tj T* ET Q Q q -1 0 0 1 270.6756 3 cm +1 0 0 1 270.6756 63 cm q 0 0 0 rg BT 1 0 0 1 0 14 Tm /F1 10 Tf 12 TL (Machine learning driven state machines in) Tj T* (58+ languages) 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 60 m 481.2283 60 l S -n 0 30 m 481.2283 30 l S -n 96.24567 0 m 96.24567 78 l S -n 264.6756 0 m 264.6756 78 l S -n 0 78 m 481.2283 78 l S -n 0 0 m 0 78 l S -n 481.2283 0 m 481.2283 78 l S -Q -Q -Q - -endstream -endobj -110 0 obj -<< -/Length 13213 ->> -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 -q -1 1 1 rg -n 0 60 481.2283 -30 re f* -.878431 .878431 .878431 rg -n 0 30 481.2283 -30 re f* -0 0 0 rg -BT /F1 10 Tf 12 TL ET -q 1 0 0 1 6 45 cm q 0 0 0 rg @@ -5276,36 +5459,39 @@ q 1 j 0 0 0 RG .25 w +n 0 120 m 481.2283 120 l S +n 0 90 m 481.2283 90 l S n 0 60 m 481.2283 60 l S n 0 30 m 481.2283 30 l S -n 96.24567 0 m 96.24567 60 l S -n 264.6756 0 m 264.6756 60 l S -n 0 0 m 0 60 l S -n 481.2283 0 m 481.2283 60 l S +n 96.24567 0 m 96.24567 138 l S +n 264.6756 0 m 264.6756 138 l S +n 0 138 m 481.2283 138 l S n 0 0 m 481.2283 0 l S +n 0 0 m 0 138 l S +n 481.2283 0 m 481.2283 138 l S Q Q Q q -1 0 0 1 57.02362 705.0236 cm +1 0 0 1 57.02362 248.6236 cm Q q -1 0 0 1 57.02362 651.0236 cm +1 0 0 1 57.02362 194.6236 cm q BT 1 0 0 1 0 38 Tm 2.814488 Tw 12 TL /F1 10 Tf 0 0 0 rg (uncommonlisp provides the runtime layer: a language that can checkpoint its own execution, migrate) Tj T* 0 Tw 2.355696 Tw (between machines, & resume from serialized state. The portal system enables distributed computation) Tj T* 0 Tw 1.588941 Tw (across permacomputer nodes. Categorization & feedback activities could run inside uncommonlisp's VM,) Tj T* 0 Tw (with ) Tj /F5 10 Tf (call/cc) Tj /F1 10 Tf ( providing the state machine transitions & portal providing persistence.) Tj T* ET Q Q q -1 0 0 1 57.02362 619.8236 cm +1 0 0 1 57.02362 163.4236 cm q BT 1 0 0 1 0 2.2 Tm 13.2 TL /F2 11 Tf .133333 .133333 .133333 rg (11. Three Implementations, One Language) Tj T* ET Q Q q -1 0 0 1 57.02362 605.8236 cm +1 0 0 1 57.02362 149.4236 cm Q q -1 0 0 1 57.02362 593.8236 cm +1 0 0 1 57.02362 137.4236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -5321,19 +5507,28 @@ Q Q Q q -1 0 0 1 57.02362 593.8236 cm +1 0 0 1 57.02362 137.4236 cm Q q -1 0 0 1 57.02362 551.8236 cm +1 0 0 1 57.02362 95.42362 cm q BT 1 0 0 1 0 26 Tm 1.056796 Tw 12 TL /F1 10 Tf 0 0 0 rg (uncommonlisp implements R7RS Scheme in three implementations sharing the same ) Tj /F5 10 Tf (.lsp) Tj /F1 10 Tf ( test files. The) Tj T* 0 Tw .643241 Tw (language is Scheme \(a dialect of Lisp, designed 1975\). The project name plays on Common Lisp \227 this is) Tj T* 0 Tw (decidedly uncommon.) Tj T* ET Q Q q -1 0 0 1 57.02362 545.8236 cm +1 0 0 1 57.02362 89.42362 cm Q + +endstream +endobj +113 0 obj +<< +/Length 14188 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 425.8236 cm +1 0 0 1 57.02362 645.0236 cm q 1 1 1 rg n 0 120 481.2283 -30 re f* @@ -5669,52 +5864,52 @@ Q Q Q q -1 0 0 1 57.02362 425.8236 cm +1 0 0 1 57.02362 645.0236 cm Q q -1 0 0 1 57.02362 395.8236 cm +1 0 0 1 57.02362 615.0236 cm q BT 1 0 0 1 0 14 Tm 1.743453 Tw 12 TL /F1 10 Tf 0 0 0 rg (All C & Python benchmarks measured in-process \(no startup overhead\). Assembly times \(\206\) include full) Tj T* 0 Tw (process lifetime: startup + tokenizer + parser + eval. "\227" = not applicable / interpreted.) Tj T* ET Q Q q -1 0 0 1 57.02362 317.8236 cm +1 0 0 1 57.02362 537.0236 cm q BT 1 0 0 1 0 62 Tm .118138 Tw 12 TL /F3 10 Tf 0 0 0 rg (The JIT runs Scheme faster than CPython runs Python.) Tj /F1 10 Tf ( ) Tj /F5 10 Tf (ack\(3,4\)) Tj /F1 10 Tf ( completes in 0.19 ms \(JIT\) vs 1.3 ms) Tj T* 0 Tw .050491 Tw (\(CPython\) \227 7\327 faster. ) Tj /F5 10 Tf (sum-to\(50000\)) Tj /F1 10 Tf ( completes in 0.55 ms \(JIT\) vs 5.5 ms \(CPython\) \227 10\327 faster. The) Tj T* 0 Tw .368556 Tw (JIT compiles Scheme AST directly to x86_64 machine code via ) Tj /F5 10 Tf (mmap\(PROT_EXEC\)) Tj /F1 10 Tf ( & raw byte emission. It) Tj T* 0 Tw 2.31631 Tw (handles ) Tj /F5 10 Tf (if) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (cond) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (and) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (or) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (let) Tj /F1 10 Tf (, named-let loops \(native ) Tj /F5 10 Tf (jmp) Tj /F1 10 Tf ( \227 zero call overhead\), ) Tj /F5 10 Tf (car) Tj /F1 10 Tf (/) Tj /F5 10 Tf (cdr) Tj /F1 10 Tf (/) Tj /F5 10 Tf (cons) Tj /F1 10 Tf (,) Tj T* 0 Tw .786027 Tw (arithmetic, comparisons, & self-recursive calls. Functions that use ) Tj /F5 10 Tf (call/cc) Tj /F1 10 Tf (, macros, or complex forms fall) Tj T* 0 Tw (back to the interpreter.) Tj T* ET Q Q q -1 0 0 1 57.02362 203.8236 cm +1 0 0 1 57.02362 423.0236 cm q BT 1 0 0 1 0 98 Tm .274168 Tw 12 TL /F3 10 Tf 0 0 0 rg (The assembly implementation proves the language runs on bare metal.) Tj /F1 10 Tf ( 4,968 lines of ) Tj /F3 10 Tf (GNU assembler) Tj T* 0 Tw .459104 Tw (\(GAS, AT) Tj (&) Tj (T syntax\)) Tj /F1 10 Tf (, ) Tj /F3 10 Tf (22 KB stripped binary) Tj /F1 10 Tf (, zero external dependencies. Fourteen Linux syscalls \() Tj /F5 10 Tf (read) Tj /F1 10 Tf (,) Tj T* 0 Tw 7.484835 Tw /F5 10 Tf (write) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (open) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (close) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (lseek) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (mmap) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (munmap) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (socket) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (connect) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (accept) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (bind) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (listen) Tj /F1 10 Tf (,) Tj T* 0 Tw 2.397122 Tw /F5 10 Tf (clock_gettime) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (exit) Tj /F1 10 Tf (\) \227 no libc, no stdlib. A bump allocator with ) Tj /F5 10 Tf (heap-snapshot) Tj /F1 10 Tf (/) Tj /F5 10 Tf (heap-restore) Tj /F1 10 Tf T* 0 Tw .123835 Tw (arena primitives, tag-in-low-3-bits values, ) Tj /F3 10 Tf (91 builtins) Tj /F1 10 Tf ( \(including ) Tj /F5 10 Tf (load) Tj /F1 10 Tf (, ports, ) Tj /F5 10 Tf (write-file) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (file-) Tj (>) Tj (string) Tj /F1 10 Tf (,) Tj T* 0 Tw 6.731043 Tw /F5 10 Tf (portal-save) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (portal-resume) Tj /F1 10 Tf (, the six ) Tj /F5 10 Tf (tcp-*) Tj /F1 10 Tf ( socket primitives, ) Tj /F5 10 Tf (read-from-string) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (eval) Tj /F1 10 Tf (,) Tj T* 0 Tw 6.946027 Tw /F5 10 Tf (symbol-) Tj (>) Tj (string) Tj /F1 10 Tf (, ) Tj /F5 10 Tf (current-time-ms) Tj /F1 10 Tf (\), & TCO via ) Tj /F5 10 Tf (jmp) Tj /F1 10 Tf (. It runs ) Tj /F5 10 Tf (\(ack) Tj ( ) Tj (3) Tj ( ) Tj (4\)) Tj ( ) Tj (=) Tj ( ) Tj (125) Tj /F1 10 Tf ( &) Tj T* 0 Tw 2.133223 Tw /F5 10 Tf (\(fib) Tj ( ) Tj (35\)) Tj ( ) Tj (=) Tj ( ) Tj (9227465) Tj /F1 10 Tf ( correctly, serves HTTP at ) Tj /F3 10 Tf (2,994 req/s) Tj /F1 10 Tf (, and survives indefinitely with flat O\(1\)) Tj T* 0 Tw (memory when the programmer uses the snapshot/restore arena in a per-request loop.) Tj T* ET Q Q q -1 0 0 1 57.02362 149.8236 cm +1 0 0 1 57.02362 369.0236 cm q BT 1 0 0 1 0 38 Tm 2.546213 Tw 12 TL /F3 10 Tf 0 0 0 rg (The bytecode VM delivers 7--19\327 speedup over tree-walking.) Tj /F1 10 Tf ( The Python implementation compiles) Tj T* 0 Tw .411147 Tw (Scheme to 40 opcodes \(plus 20 specialized & 5 superinstructions\), executed on an explicit frame stack with) Tj T* 0 Tw 1.206213 Tw (inline caching, constant folding, & peephole optimization. Full first-class continuations \(multi-shot, upward\)) Tj T* 0 Tw (enable generators, coroutines, & machine state migration via portal.) Tj T* ET Q Q q -1 0 0 1 57.02362 123.8236 cm +1 0 0 1 57.02362 343.0236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 Tf .133333 .133333 .133333 rg (11.1 Test Coverage) Tj T* ET Q Q q -1 0 0 1 57.02362 105.8236 cm +1 0 0 1 57.02362 325.0236 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 Q Q q -1 0 0 1 57.02362 99.82362 cm +1 0 0 1 57.02362 319.0236 cm Q q -1 0 0 1 57.02362 99.82362 cm +1 0 0 1 57.02362 319.0236 cm Q q -1 0 0 1 57.02362 87.82362 cm +1 0 0 1 57.02362 307.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -5736,10 +5931,10 @@ Q Q Q q -1 0 0 1 57.02362 81.82362 cm +1 0 0 1 57.02362 301.0236 cm Q q -1 0 0 1 57.02362 69.82362 cm +1 0 0 1 57.02362 289.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -5761,19 +5956,10 @@ Q Q Q q -1 0 0 1 57.02362 63.82362 cm +1 0 0 1 57.02362 283.0236 cm Q - -endstream -endobj -111 0 obj -<< -/Length 15915 ->> -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 271.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -5795,10 +5981,10 @@ Q Q Q q -1 0 0 1 57.02362 747.0236 cm +1 0 0 1 57.02362 265.0236 cm Q q -1 0 0 1 57.02362 735.0236 cm +1 0 0 1 57.02362 253.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -5820,43 +6006,145 @@ Q Q Q q -1 0 0 1 57.02362 717.0236 cm +1 0 0 1 57.02362 235.0236 cm Q q -1 0 0 1 57.02362 675.0236 cm +1 0 0 1 57.02362 193.0236 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 645.0236 cm +1 0 0 1 57.02362 163.0236 cm q BT 1 0 0 1 0 14 Tm 3.001043 Tw 12 TL /F1 10 Tf 0 0 0 rg (Cross-implementation portal exchange is verified separately: ) Tj /F5 10 Tf (tests/portal-cross-test.sh) Tj /F1 10 Tf ( runs 9) Tj T* 0 Tw (producer\327consumer combinations. All 9 green.) Tj T* ET Q Q q -1 0 0 1 57.02362 619.0236 cm +1 0 0 1 57.02362 137.0236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 Tf .133333 .133333 .133333 rg (11.2 File I/O Parity) Tj T* ET Q Q q -1 0 0 1 57.02362 589.0236 cm +1 0 0 1 57.02362 107.0236 cm q 0 0 0 rg BT 1 0 0 1 0 14 Tm /F1 10 Tf 12 TL .155596 Tw (All three implementations share the same minimal file I/O vocabulary \227 discovered necessary while building) Tj T* 0 Tw (the cross-impl portal:) Tj T* ET Q Q q -1 0 0 1 57.02362 583.0236 cm +1 0 0 1 57.02362 101.0236 cm Q q -1 0 0 1 57.02362 403.0236 cm +1 0 0 1 57.02362 65.02362 cm q 1 1 1 rg -n 0 180 481.2283 -18 re f* +n 0 36 481.2283 -18 re f* .878431 .878431 .878431 rg -n 0 162 481.2283 -18 re f* +n 0 18 481.2283 -18 re f* +0 0 0 rg +BT /F3 10 Tf 12 TL ET +q +1 0 0 1 6 21 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 62.38018 0 Td (Builtin) Tj T* -62.38018 0 Td ET +Q +Q +q +1 0 0 1 173.8704 21 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 24.94678 0 Td (Semantics) Tj T* -24.94678 0 Td ET +Q +Q +q +1 0 0 1 285.7839 21 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 21.45907 0 Td (Py) Tj T* -21.45907 0 Td ET +Q +Q +q +1 0 0 1 352.9321 21 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 23.96407 0 Td (C) Tj T* -23.96407 0 Td ET +Q +Q +q +1 0 0 1 420.0802 21 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 17.56907 0 Td (asm) Tj T* -17.56907 0 Td ET +Q +Q +0 0 0 rg +BT /F1 10 Tf 12 TL ET +q +1 0 0 1 6 3 cm +q +BT 1 0 0 1 0 2 Tm 12 TL /F5 10 Tf 0 0 0 rg (\(load) Tj ( ) Tj ("path"\)) Tj T* ET +Q +Q +q +1 0 0 1 173.8704 3 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (read + eval forms) Tj T* ET +Q +Q +q +1 0 0 1 285.7839 3 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F7 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +Q +Q +q +1 0 0 1 352.9321 3 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F7 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET +Q +Q +q +1 0 0 1 420.0802 3 cm +q +0 0 0 rg +BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F7 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL 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 18 m 481.2283 18 l S +n 167.8704 0 m 167.8704 36 l S +n 279.7839 0 m 279.7839 36 l S +n 346.9321 0 m 346.9321 36 l S +n 414.0802 0 m 414.0802 36 l S +n 0 36 m 481.2283 36 l S +n 0 0 m 0 36 l S +n 481.2283 0 m 481.2283 36 l S +Q +Q +Q + +endstream +endobj +114 0 obj +<< +/Length 16141 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET +q +1 0 0 1 57.02362 621.0236 cm +q 1 1 1 rg n 0 144 481.2283 -18 re f* .878431 .878431 .878431 rg @@ -5874,79 +6162,8 @@ n 0 36 481.2283 -18 re f* .878431 .878431 .878431 rg n 0 18 481.2283 -18 re f* 0 0 0 rg -BT /F3 10 Tf 12 TL ET -q -1 0 0 1 6 165 cm -q -0 0 0 rg -BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 62.38018 0 Td (Builtin) Tj T* -62.38018 0 Td ET -Q -Q -q -1 0 0 1 173.8704 165 cm -q -0 0 0 rg -BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 24.94678 0 Td (Semantics) Tj T* -24.94678 0 Td ET -Q -Q -q -1 0 0 1 285.7839 165 cm -q -0 0 0 rg -BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 21.45907 0 Td (Py) Tj T* -21.45907 0 Td ET -Q -Q -q -1 0 0 1 352.9321 165 cm -q -0 0 0 rg -BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 23.96407 0 Td (C) Tj T* -23.96407 0 Td ET -Q -Q -q -1 0 0 1 420.0802 165 cm -q -0 0 0 rg -BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 17.56907 0 Td (asm) Tj T* -17.56907 0 Td ET -Q -Q -0 0 0 rg BT /F1 10 Tf 12 TL ET q -1 0 0 1 6 147 cm -q -BT 1 0 0 1 0 2 Tm 12 TL /F5 10 Tf 0 0 0 rg (\(load) Tj ( ) Tj ("path"\)) Tj T* ET -Q -Q -q -1 0 0 1 173.8704 147 cm -q -0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (read + eval forms) Tj T* ET -Q -Q -q -1 0 0 1 285.7839 147 cm -q -0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F7 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET -Q -Q -q -1 0 0 1 352.9321 147 cm -q -0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F7 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET -Q -Q -q -1 0 0 1 420.0802 147 cm -q -0 0 0 rg -BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL /F7 10 Tf 12 TL (3) Tj /F1 10 Tf 12 TL T* ET -Q -Q -q 1 0 0 1 6 129 cm q BT 1 0 0 1 0 2 Tm 12 TL /F5 10 Tf 0 0 0 rg (\(open-output-file) Tj ( ) Tj (p\)) Tj T* ET @@ -6223,7 +6440,6 @@ q 1 j 0 0 0 RG .25 w -n 0 162 m 481.2283 162 l S n 0 144 m 481.2283 144 l S n 0 126 m 481.2283 126 l S n 0 108 m 481.2283 108 l S @@ -6232,44 +6448,43 @@ n 0 72 m 481.2283 72 l S n 0 54 m 481.2283 54 l S n 0 36 m 481.2283 36 l S n 0 18 m 481.2283 18 l S -n 167.8704 0 m 167.8704 180 l S -n 279.7839 0 m 279.7839 180 l S -n 346.9321 0 m 346.9321 180 l S -n 414.0802 0 m 414.0802 180 l S -n 0 180 m 481.2283 180 l S +n 167.8704 0 m 167.8704 144 l S +n 279.7839 0 m 279.7839 144 l S +n 346.9321 0 m 346.9321 144 l S +n 414.0802 0 m 414.0802 144 l S +n 0 0 m 0 144 l S +n 481.2283 0 m 481.2283 144 l S n 0 0 m 481.2283 0 l S -n 0 0 m 0 180 l S -n 481.2283 0 m 481.2283 180 l S Q Q Q q -1 0 0 1 57.02362 403.0236 cm +1 0 0 1 57.02362 621.0236 cm Q q -1 0 0 1 57.02362 337.0236 cm +1 0 0 1 57.02362 555.0236 cm q BT 1 0 0 1 0 50 Tm .254609 Tw 12 TL /F1 10 Tf 0 0 0 rg (The asm port representation deserves a note. Because all three tag bits are consumed by the existing value) Tj T* 0 Tw 4.102038 Tw (types \(int/pair/sym/closure/builtin/special/string/vector\), we encode ports as ) Tj /F5 10 Tf (SPECIAL) Tj /F1 10 Tf ( values ) Tj /F6 10 Tf 12 TL (\263) Tj /F1 10 Tf 12 TL ( 1000:) Tj T* 0 Tw 8.520835 Tw /F5 10 Tf (port_val) Tj ( ) Tj (=) Tj ( ) Tj (\(\(PORT_SPECIAL_BASE) Tj ( ) Tj (+) Tj ( ) Tj (fd\)) Tj ( ) Tj (<) Tj (<) Tj ( ) Tj (3\)) Tj ( ) Tj (|) Tj ( ) Tj (TAG_SPECIAL) Tj /F1 10 Tf (. Extraction is) Tj T* 0 Tw .162256 Tw /F5 10 Tf (fd) Tj ( ) Tj (=) Tj ( ) Tj (\(val) Tj ( ) Tj (>) Tj (>) Tj ( ) Tj (3\)) Tj ( ) Tj (-) Tj ( ) Tj (PORT_SPECIAL_BASE) Tj /F1 10 Tf (. ) Tj /F5 10 Tf (port?) Tj /F1 10 Tf ( is a range check. No tag expansion, no heap object,) Tj T* 0 Tw (no allocator pressure \227 the port is the file descriptor, wrapped.) Tj T* ET Q Q q -1 0 0 1 57.02362 311.0236 cm +1 0 0 1 57.02362 529.0236 cm q BT 1 0 0 1 0 2 Tm 12 TL /F2 10 Tf .133333 .133333 .133333 rg (11.3 Sockets: One HTTP Server, Three Runtimes) Tj T* ET Q Q q -1 0 0 1 57.02362 293.0236 cm +1 0 0 1 57.02362 511.0236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (Six primitives extend the file-I/O vocabulary to TCP:) Tj T* ET Q Q q -1 0 0 1 57.02362 287.0236 cm +1 0 0 1 57.02362 505.0236 cm Q q -1 0 0 1 57.02362 149.0236 cm +1 0 0 1 57.02362 367.0236 cm q 1 1 1 rg n 0 138 481.2283 -18 re f* @@ -6551,31 +6766,22 @@ Q Q Q q -1 0 0 1 57.02362 149.0236 cm +1 0 0 1 57.02362 367.0236 cm Q q -1 0 0 1 57.02362 107.0236 cm +1 0 0 1 57.02362 325.0236 cm q BT 1 0 0 1 0 26 Tm .215176 Tw 12 TL /F1 10 Tf 0 0 0 rg (Sockets share the same port representation as files \227 in asm the fd is packed into ) Tj /F5 10 Tf (SPECIAL) Tj /F1 10 Tf ( values ) Tj /F6 10 Tf 12 TL (\263) Tj /F1 10 Tf 12 TL ( 1000,) Tj T* 0 Tw .794123 Tw (in Python + C the fd lives inside an existing ULPort struct. ) Tj /F5 10 Tf (read) Tj /F1 10 Tf (/) Tj /F5 10 Tf (write) Tj /F1 10 Tf ( unify because to Linux a socket is) Tj T* 0 Tw (just an fd.) Tj T* ET Q Q q -1 0 0 1 57.02362 77.02362 cm +1 0 0 1 57.02362 295.0236 cm q BT 1 0 0 1 0 14 Tm .886796 Tw 12 TL /F5 10 Tf 0 0 0 rg (examples/http-server.lsp) Tj /F1 10 Tf ( is a 90-line HTTP/1.0 server. It parses a request line, dispatches by path,) Tj T* 0 Tw (and returns 200/404 with Content-Length. The same file runs unmodified in all three impls:) Tj T* ET Q Q - -endstream -endobj -112 0 obj -<< -/Length 10308 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 723.0236 cm +1 0 0 1 57.02362 245.0236 cm q q 1 0 0 1 0 0 cm @@ -6595,16 +6801,16 @@ Q Q Q q -1 0 0 1 57.02362 679.0236 cm +1 0 0 1 57.02362 201.0236 cm q BT 1 0 0 1 0 26 Tm -0.093471 Tw 12 TL /F1 10 Tf 0 0 0 rg (The companion ) Tj /F5 10 Tf (examples/http-client-bench.lsp) Tj /F1 10 Tf ( is a 45-line load generator using only the six ) Tj /F5 10 Tf (tcp-*) Tj /F1 10 Tf T* 0 Tw 2.952577 Tw (primitives plus ) Tj /F5 10 Tf (current-time-ms) Tj /F1 10 Tf (. In-process client eliminates the ~2 ms/request fork overhead that) Tj T* 0 Tw (curl-based benchmarks suffer, so real server throughput shows through:) Tj T* ET Q Q q -1 0 0 1 57.02362 673.0236 cm +1 0 0 1 57.02362 195.0236 cm Q q -1 0 0 1 57.02362 583.0236 cm +1 0 0 1 57.02362 105.0236 cm q 1 1 1 rg n 0 90 481.2283 -18 re f* @@ -6744,47 +6950,56 @@ Q Q Q q -1 0 0 1 57.02362 583.0236 cm +1 0 0 1 57.02362 105.0236 cm Q q -1 0 0 1 57.02362 553.0236 cm +1 0 0 1 57.02362 75.02362 cm q BT 1 0 0 1 0 14 Tm .163917 Tw 12 TL /F1 10 Tf 0 0 0 rg (\(The asm-server / asm-client pair is the fastest cell here \227 2,994 req/s from a 22 KB binary, served & driven) Tj T* 0 Tw (by the same 22 KB binary.\)) Tj T* ET Q Q + +endstream +endobj +115 0 obj +<< +/Length 9460 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 511.0236 cm +1 0 0 1 57.02362 729.0236 cm q BT 1 0 0 1 0 26 Tm .050596 Tw 12 TL /F1 10 Tf 0 0 0 rg (For external comparison: ) Tj /F5 10 Tf (python3) Tj ( ) Tj (-m) Tj ( ) Tj (http.server) Tj /F1 10 Tf ( and busybox httpd both land around 382 req/s under) Tj T* 0 Tw 1.458334 Tw (a curl client on the same machine. When driven by an in-process client they hit the same ceiling as our) Tj T* 0 Tw (servers \227 the bottleneck has always been the client fork/exec, not the server.) Tj T* ET Q Q q -1 0 0 1 57.02362 457.0236 cm +1 0 0 1 57.02362 675.0236 cm q BT 1 0 0 1 0 38 Tm 2.116575 Tw 12 TL /F3 10 Tf 0 0 0 rg (What's remarkable is not the speed.) Tj /F1 10 Tf ( It is that a 22 KB binary with zero libc dependency and seven) Tj T* 0 Tw .829353 Tw (canonical Linux syscalls plus the socket family runs HTTP as fast as anything else on the machine, with a) Tj T* 0 Tw .829272 Tw (protocol handler written in portable Scheme that runs byte-for-byte in all three runtimes. The asm binary is) Tj T* 0 Tw /F3 10 Tf (96\327 smaller than busybox httpd) Tj /F1 10 Tf ( \(2.1 MB\) and ) Tj /F3 10 Tf (360\327 smaller than the Python interpreter) Tj /F1 10 Tf ( alone \(8 MB\).) Tj T* ET Q Q q -1 0 0 1 57.02362 431.0236 cm +1 0 0 1 57.02362 649.0236 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 389.0236 cm +1 0 0 1 57.02362 607.0236 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 383.0236 cm +1 0 0 1 57.02362 601.0236 cm Q q -1 0 0 1 57.02362 383.0236 cm +1 0 0 1 57.02362 601.0236 cm Q q -1 0 0 1 57.02362 371.0236 cm +1 0 0 1 57.02362 589.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -6806,10 +7021,10 @@ Q Q Q q -1 0 0 1 57.02362 365.0236 cm +1 0 0 1 57.02362 583.0236 cm Q q -1 0 0 1 57.02362 341.0236 cm +1 0 0 1 57.02362 559.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -6831,47 +7046,51 @@ Q Q Q q -1 0 0 1 57.02362 323.0236 cm +1 0 0 1 57.02362 541.0236 cm Q q -1 0 0 1 57.02362 305.0236 cm +1 0 0 1 57.02362 523.0236 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 263.0236 cm +1 0 0 1 57.02362 481.0236 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 197.0236 cm +1 0 0 1 57.02362 415.0236 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 167.0236 cm +1 0 0 1 57.02362 385.0236 cm q 0 0 0 rg BT 1 0 0 1 0 14 Tm /F1 10 Tf 12 TL .909903 Tw (Both patterns run byte-identically in Python, C, and asm. The 3\3273 server\327client matrix is 9/9 green \227 any) Tj T* 0 Tw (runtime can host either side.) Tj T* ET Q Q q -1 0 0 1 57.02362 125.0236 cm +1 0 0 1 57.02362 343.0236 cm q BT 1 0 0 1 0 26 Tm 1.432577 Tw 12 TL /F3 10 Tf 0 0 0 rg (Chains: relays across runtimes.) Tj /F1 10 Tf ( A transparent relay \() Tj /F5 10 Tf (examples/rpc-relay.lsp) Tj /F1 10 Tf (, 50 lines\) accepts a) Tj T* 0 Tw 1.39989 Tw (connection, forwards the request bytes to a backend without parsing, relays the reply back. Because the) Tj T* 0 Tw (envelope is Scheme source and the relay never opens it, chains of arbitrary runtimes compose naturally:) Tj T* ET Q Q q -1 0 0 1 57.02362 119.0236 cm +1 0 0 1 57.02362 337.0236 cm Q q -1 0 0 1 57.02362 65.02362 cm +1 0 0 1 57.02362 247.0236 cm q 1 1 1 rg +n 0 90 481.2283 -18 re f* +.878431 .878431 .878431 rg +n 0 72 481.2283 -18 re f* +1 1 1 rg n 0 54 481.2283 -18 re f* .878431 .878431 .878431 rg n 0 36 481.2283 -18 re f* @@ -6880,21 +7099,21 @@ n 0 18 481.2283 -18 re f* 0 0 0 rg BT /F3 10 Tf 12 TL ET q -1 0 0 1 6 39 cm +1 0 0 1 6 75 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 79.91699 0 Td (Chain \(200 ping requests\)) Tj T* -79.91699 0 Td ET Q Q q -1 0 0 1 300.084 39 cm +1 0 0 1 300.084 75 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 14.11109 0 Td (Requests/s) Tj T* -14.11109 0 Td ET Q Q q -1 0 0 1 393.6562 39 cm +1 0 0 1 393.6562 75 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F3 10 Tf 12 TL 10.22609 0 Td (Per-hop cost) Tj T* -10.22609 0 Td ET @@ -6903,82 +7122,48 @@ Q 0 0 0 rg BT /F1 10 Tf 12 TL ET q -1 0 0 1 6 21 cm +1 0 0 1 6 57 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (Py client ) Tj /F6 10 Tf 12 TL (\256) Tj /F1 10 Tf 12 TL ( asm backend \(1 hop\)) Tj T* ET Q Q q -1 0 0 1 300.084 21 cm +1 0 0 1 300.084 57 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (2,061) Tj T* ET Q Q q -1 0 0 1 393.6562 21 cm +1 0 0 1 393.6562 57 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (baseline) Tj T* ET Q Q q -1 0 0 1 6 3 cm +1 0 0 1 6 39 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (Py client ) Tj /F6 10 Tf 12 TL (\256) Tj /F1 10 Tf 12 TL ( C relay ) Tj /F6 10 Tf 12 TL (\256) Tj /F1 10 Tf 12 TL ( asm backend \(2 hops\)) Tj T* ET Q Q q -1 0 0 1 300.084 3 cm +1 0 0 1 300.084 39 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (1,234) Tj T* ET Q Q q -1 0 0 1 393.6562 3 cm +1 0 0 1 393.6562 39 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (+605 \265s/req) 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 36 m 481.2283 36 l S -n 0 18 m 481.2283 18 l S -n 294.084 0 m 294.084 54 l S -n 387.6562 0 m 387.6562 54 l S -n 0 54 m 481.2283 54 l S -n 0 0 m 0 54 l S -n 481.2283 0 m 481.2283 54 l S -Q -Q -Q - -endstream -endobj -113 0 obj -<< -/Length 8111 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET -q -1 0 0 1 57.02362 729.0236 cm -q -1 1 1 rg -n 0 36 481.2283 -18 re f* -.878431 .878431 .878431 rg -n 0 18 481.2283 -18 re f* -0 0 0 rg -BT /F1 10 Tf 12 TL ET -q 1 0 0 1 6 21 cm q 0 0 0 rg @@ -7025,59 +7210,71 @@ q 1 j 0 0 0 RG .25 w +n 0 72 m 481.2283 72 l S +n 0 54 m 481.2283 54 l S n 0 36 m 481.2283 36 l S n 0 18 m 481.2283 18 l S -n 294.084 0 m 294.084 36 l S -n 387.6562 0 m 387.6562 36 l S -n 0 0 m 0 36 l S -n 481.2283 0 m 481.2283 36 l S +n 294.084 0 m 294.084 90 l S +n 387.6562 0 m 387.6562 90 l S +n 0 90 m 481.2283 90 l S n 0 0 m 481.2283 0 l S +n 0 0 m 0 90 l S +n 481.2283 0 m 481.2283 90 l S Q Q Q q -1 0 0 1 57.02362 729.0236 cm +1 0 0 1 57.02362 247.0236 cm Q q -1 0 0 1 57.02362 675.0236 cm +1 0 0 1 57.02362 193.0236 cm q BT 1 0 0 1 0 38 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 (two relay machines, the same ) Tj /F5 10 Tf (.lsp) Tj /F1 10 Tf ( on every hop.) Tj T* ET Q Q q -1 0 0 1 57.02362 633.0236 cm +1 0 0 1 57.02362 151.0236 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 607.0236 cm +1 0 0 1 57.02362 125.0236 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 565.0236 cm +1 0 0 1 57.02362 83.02362 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 + +endstream +endobj +116 0 obj +<< +/Length 7130 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 523.0236 cm +1 0 0 1 57.02362 729.0236 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 481.0236 cm +1 0 0 1 57.02362 687.0236 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 344.6236 cm +1 0 0 1 57.02362 550.6236 cm q q 1 0 0 1 0 0 cm @@ -7097,32 +7294,32 @@ Q Q Q q -1 0 0 1 57.02362 288.6236 cm +1 0 0 1 57.02362 494.6236 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 234.6236 cm +1 0 0 1 57.02362 440.6236 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 204.6236 cm +1 0 0 1 57.02362 410.6236 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 198.6236 cm +1 0 0 1 57.02362 404.6236 cm Q q -1 0 0 1 57.02362 198.6236 cm +1 0 0 1 57.02362 404.6236 cm Q q -1 0 0 1 57.02362 186.6236 cm +1 0 0 1 57.02362 392.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7144,10 +7341,10 @@ Q Q Q q -1 0 0 1 57.02362 180.6236 cm +1 0 0 1 57.02362 386.6236 cm Q q -1 0 0 1 57.02362 168.6236 cm +1 0 0 1 57.02362 374.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7170,10 +7367,10 @@ Q Q Q q -1 0 0 1 57.02362 162.6236 cm +1 0 0 1 57.02362 368.6236 cm Q q -1 0 0 1 57.02362 150.6236 cm +1 0 0 1 57.02362 356.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7196,10 +7393,10 @@ Q Q Q q -1 0 0 1 57.02362 144.6236 cm +1 0 0 1 57.02362 350.6236 cm Q q -1 0 0 1 57.02362 132.6236 cm +1 0 0 1 57.02362 338.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7222,45 +7419,36 @@ Q Q Q q -1 0 0 1 57.02362 114.6236 cm +1 0 0 1 57.02362 320.6236 cm Q q -1 0 0 1 57.02362 84.62362 cm +1 0 0 1 57.02362 290.6236 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 - -endstream -endobj -114 0 obj -<< -/Length 6606 ->> -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 264.6236 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 711.0236 cm +1 0 0 1 57.02362 222.6236 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 +1 0 0 1 57.02362 204.6236 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 164.2236 cm q q 1 0 0 1 0 0 cm @@ -7280,21 +7468,21 @@ Q Q Q q -1 0 0 1 57.02362 620.6236 cm +1 0 0 1 57.02362 132.2236 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 114.2236 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 64.22362 cm q q 1 0 0 1 0 0 cm @@ -7304,84 +7492,105 @@ q .662745 .662745 .662745 RG .5 w .960784 .960784 .960784 rg -n -6 -6 480.0283 60 re B* +n -6 -6 480.0283 40.8 re B* Q q 0 0 0 rg -BT 1 0 0 1 0 40 Tm /F5 8 Tf 9.6 TL (\(define *snap* \(heap-snapshot\)\) ; captured AFTER top-level binds) Tj T* (\(define \(loop n snap\)) Tj T* ( ...) Tj T* ( \(heap-restore snap\) ; every allocation since snap is now garbage) Tj T* ( \(loop \(+ n 1\) snap\)\)) Tj T* ET +BT 1 0 0 1 0 20.8 Tm /F5 8 Tf 9.6 TL (\(define *snap* \(heap-snapshot\)\) ; captured AFTER top-level binds) Tj T* (\(define \(loop n snap\)) Tj T* ( ...) Tj T* ET +Q +Q +Q +Q +Q + +endstream +endobj +117 0 obj +<< +/Length 6547 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET +q +1 0 0 1 57.02362 732.6236 cm +q +q +1 0 0 1 0 0 cm +q +1 0 0 1 6.6 6.6 cm +q +.662745 .662745 .662745 RG +.5 w +.960784 .960784 .960784 rg +n -6 -6 480.0283 31.2 re B* +Q +q +0 0 0 rg +BT 1 0 0 1 0 11.2 Tm /F5 8 Tf 9.6 TL ( \(heap-restore snap\) ; every allocation since snap is now garbage) Tj T* ( \(loop \(+ n 1\) snap\)\)) Tj T* ET Q Q Q Q Q q -1 0 0 1 57.02362 477.4236 cm +1 0 0 1 57.02362 676.6236 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 634.6236 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 603.4236 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 384.2236 cm +1 0 0 1 57.02362 583.4236 cm q 0 0 0 rg BT 1 0 0 1 0 2 Tm /F1 10 Tf 12 TL (We scanned all three implementations for the five MOADs. Every project contains its own sediment.) Tj T* ET Q Q q -1 0 0 1 57.02362 294.2236 cm +1 0 0 1 57.02362 493.4236 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 180.2236 cm +1 0 0 1 57.02362 379.4236 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 154.2236 cm +1 0 0 1 57.02362 353.4236 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 112.2236 cm +1 0 0 1 57.02362 311.4236 cm q BT 1 0 0 1 0 26 Tm 1.195596 Tw 12 TL /F1 10 Tf 0 0 0 rg (The assembly interpreter's ) Tj /F5 10 Tf (intern_symbol) Tj /F1 10 Tf ( used a linear scan through all interned symbols \227 O\(N\) per) Tj T* 0 Tw .024897 Tw (lookup, O\(N\262\) over a program's lifetime. For a program defining 34 builtins plus user symbols, every ) Tj /F5 10 Tf (define) Tj /F1 10 Tf (,) Tj T* 0 Tw (every lambda parameter, every variable reference walked the entire table.) Tj T* ET Q Q q -1 0 0 1 57.02362 94.22362 cm +1 0 0 1 57.02362 293.4236 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 - -endstream -endobj -115 0 obj -<< -/Length 8114 ->> -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 195.4236 cm q q 1 0 0 1 0 0 cm @@ -7402,13 +7611,13 @@ Q Q Q q -1 0 0 1 57.02362 655.0236 cm +1 0 0 1 57.02362 175.4236 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 576.2236 cm +1 0 0 1 57.02362 96.62362 cm q q 1 0 0 1 0 0 cm @@ -7428,32 +7637,47 @@ Q Q Q q -1 0 0 1 57.02362 520.2236 cm +1 0 0 1 57.02362 64.62362 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 +BT 1 0 0 1 0 14 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 ET +Q +Q + +endstream +endobj +118 0 obj +<< +/Length 8607 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET +q +1 0 0 1 57.02362 741.0236 cm +q +BT 1 0 0 1 0 14 Tm 1.940417 Tw 12 TL /F1 10 Tf 0 0 0 rg (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 490.2236 cm +1 0 0 1 57.02362 711.0236 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 460.2236 cm +1 0 0 1 57.02362 681.0236 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 454.2236 cm +1 0 0 1 57.02362 675.0236 cm Q q -1 0 0 1 57.02362 454.2236 cm +1 0 0 1 57.02362 675.0236 cm Q q -1 0 0 1 57.02362 418.2236 cm +1 0 0 1 57.02362 639.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7475,10 +7699,10 @@ Q Q Q q -1 0 0 1 57.02362 412.2236 cm +1 0 0 1 57.02362 633.0236 cm Q q -1 0 0 1 57.02362 376.2236 cm +1 0 0 1 57.02362 597.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7500,42 +7724,42 @@ Q Q Q q -1 0 0 1 57.02362 358.2236 cm +1 0 0 1 57.02362 579.0236 cm Q q -1 0 0 1 57.02362 268.2236 cm +1 0 0 1 57.02362 489.0236 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 Q Q q -1 0 0 1 57.02362 250.2236 cm +1 0 0 1 57.02362 471.0236 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 224.2236 cm +1 0 0 1 57.02362 445.0236 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 206.2236 cm +1 0 0 1 57.02362 427.0236 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 200.2236 cm +1 0 0 1 57.02362 421.0236 cm Q q -1 0 0 1 57.02362 200.2236 cm +1 0 0 1 57.02362 421.0236 cm Q q -1 0 0 1 57.02362 152.2236 cm +1 0 0 1 57.02362 373.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7557,10 +7781,10 @@ Q Q Q q -1 0 0 1 57.02362 146.2236 cm +1 0 0 1 57.02362 367.0236 cm Q q -1 0 0 1 57.02362 110.2236 cm +1 0 0 1 57.02362 331.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7582,10 +7806,10 @@ Q Q Q q -1 0 0 1 57.02362 104.2236 cm +1 0 0 1 57.02362 325.0236 cm Q q -1 0 0 1 57.02362 68.22362 cm +1 0 0 1 57.02362 289.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7607,34 +7831,25 @@ Q Q Q q -1 0 0 1 57.02362 62.69291 cm +1 0 0 1 57.02362 271.0236 cm Q - -endstream -endobj -116 0 obj -<< -/Length 7991 ->> -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 229.0236 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 703.0236 cm +1 0 0 1 57.02362 203.0236 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 691.0236 cm +1 0 0 1 57.02362 191.0236 cm Q q -1 0 0 1 57.02362 679.0236 cm +1 0 0 1 57.02362 179.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7650,41 +7865,56 @@ Q Q Q q -1 0 0 1 57.02362 679.0236 cm +1 0 0 1 57.02362 179.0236 cm Q q -1 0 0 1 57.02362 625.0236 cm +1 0 0 1 57.02362 125.0236 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 559.0236 cm +1 0 0 1 57.02362 83.02362 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 +BT 1 0 0 1 0 26 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 ET +Q +Q + +endstream +endobj +119 0 obj +<< +/Length 8054 +>> +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 .385785 Tw 12 TL /F1 10 Tf 0 0 0 rg (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 517.0236 cm +1 0 0 1 57.02362 699.0236 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 485.8236 cm +1 0 0 1 57.02362 667.8236 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 471.8236 cm +1 0 0 1 57.02362 653.8236 cm Q q -1 0 0 1 57.02362 471.8236 cm +1 0 0 1 57.02362 653.8236 cm Q q -1 0 0 1 57.02362 447.8236 cm +1 0 0 1 57.02362 629.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7706,10 +7936,10 @@ Q Q Q q -1 0 0 1 57.02362 441.8236 cm +1 0 0 1 57.02362 623.8236 cm Q q -1 0 0 1 57.02362 405.8236 cm +1 0 0 1 57.02362 587.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7731,10 +7961,10 @@ Q Q Q q -1 0 0 1 57.02362 399.8236 cm +1 0 0 1 57.02362 581.8236 cm Q q -1 0 0 1 57.02362 375.8236 cm +1 0 0 1 57.02362 557.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7756,10 +7986,10 @@ Q Q Q q -1 0 0 1 57.02362 369.8236 cm +1 0 0 1 57.02362 551.8236 cm Q q -1 0 0 1 57.02362 345.8236 cm +1 0 0 1 57.02362 527.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7781,10 +8011,10 @@ Q Q Q q -1 0 0 1 57.02362 339.8236 cm +1 0 0 1 57.02362 521.8236 cm Q q -1 0 0 1 57.02362 315.8236 cm +1 0 0 1 57.02362 497.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7806,10 +8036,10 @@ Q Q Q q -1 0 0 1 57.02362 309.8236 cm +1 0 0 1 57.02362 491.8236 cm Q q -1 0 0 1 57.02362 297.8236 cm +1 0 0 1 57.02362 479.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7831,10 +8061,10 @@ Q Q Q q -1 0 0 1 57.02362 291.8236 cm +1 0 0 1 57.02362 473.8236 cm Q q -1 0 0 1 57.02362 279.8236 cm +1 0 0 1 57.02362 461.8236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7856,76 +8086,61 @@ Q Q Q q -1 0 0 1 57.02362 261.8236 cm +1 0 0 1 57.02362 443.8236 cm Q q -1 0 0 1 57.02362 230.6236 cm +1 0 0 1 57.02362 412.6236 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 210.6236 cm +1 0 0 1 57.02362 392.6236 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 144.6236 cm +1 0 0 1 57.02362 326.6236 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 114.6236 cm +1 0 0 1 57.02362 296.6236 cm q 0 0 0 rg BT 1 0 0 1 0 14 Tm /F1 10 Tf 12 TL 2.113022 Tw (On April 13--14, 2026 \227 nine days later \227 the machine learning agent that built uncommonlisp wrote) Tj T* 0 Tw (MOAD-0001 into fresh code. Twice.) Tj T* ET Q Q q -1 0 0 1 57.02362 72.62362 cm +1 0 0 1 57.02362 230.6236 cm q -BT 1 0 0 1 0 26 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 ET -Q -Q - -endstream -endobj -117 0 obj -<< -/Length 6727 ->> -stream -1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET -q -1 0 0 1 57.02362 741.0236 cm -q -BT 1 0 0 1 0 14 Tm 2.822739 Tw 12 TL /F5 10 Tf 0 0 0 rg (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 +BT 1 0 0 1 0 50 Tm 1.989873 Tw 12 TL /F5 10 Tf 0 0 0 rg (intern_symbol) Tj /F1 10 Tf ( in the assembly implementation: a linear scan through all interned symbols. O\(N\) per) Tj T* 0 Tw 1.841147 Tw (lookup. The exact pattern described in "Stress on Our Shared Heart." The exact pattern the agent was) Tj T* 0 Tw 3.328647 Tw (explicitly instructed to avoid. The agent had the full MOAD taxonomy in its context window. It had) Tj T* 0 Tw 2.822739 Tw /F5 10 Tf (BLACKOPS.md) Tj /F1 10 Tf ( defining all five MOADs. It had the undefect.com mission statement. And it still wrote) Tj T* 0 Tw /F5 10 Tf (jmp) Tj ( ) Tj (.isym_search) Tj /F1 10 Tf ( instead of a hash table.) Tj T* ET Q Q q -1 0 0 1 57.02362 711.0236 cm +1 0 0 1 57.02362 200.6236 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 693.0236 cm +1 0 0 1 57.02362 182.6236 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 687.0236 cm +1 0 0 1 57.02362 176.6236 cm Q q -1 0 0 1 57.02362 687.0236 cm +1 0 0 1 57.02362 176.6236 cm Q q -1 0 0 1 57.02362 675.0236 cm +1 0 0 1 57.02362 164.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7947,10 +8162,10 @@ Q Q Q q -1 0 0 1 57.02362 669.0236 cm +1 0 0 1 57.02362 158.6236 cm Q q -1 0 0 1 57.02362 657.0236 cm +1 0 0 1 57.02362 146.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7972,10 +8187,10 @@ Q Q Q q -1 0 0 1 57.02362 651.0236 cm +1 0 0 1 57.02362 140.6236 cm Q q -1 0 0 1 57.02362 639.0236 cm +1 0 0 1 57.02362 128.6236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -7997,52 +8212,61 @@ Q Q Q q -1 0 0 1 57.02362 621.0236 cm +1 0 0 1 57.02362 110.6236 cm Q q -1 0 0 1 57.02362 603.0236 cm +1 0 0 1 57.02362 92.62362 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 + +endstream +endobj +120 0 obj +<< +/Length 4646 +>> +stream +1 0 0 1 0 0 cm BT /F1 12 Tf 14.4 TL ET q -1 0 0 1 57.02362 549.0236 cm +1 0 0 1 57.02362 717.0236 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 507.0236 cm +1 0 0 1 57.02362 675.0236 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 465.0236 cm +1 0 0 1 57.02362 633.0236 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 423.0236 cm +1 0 0 1 57.02362 591.0236 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 381.0236 cm +1 0 0 1 57.02362 549.0236 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 375.0236 cm +1 0 0 1 57.02362 543.0236 cm Q q -1 0 0 1 57.02362 333.0236 cm +1 0 0 1 57.02362 501.0236 cm q 0 0 0 rg BT /F1 10 Tf 12 TL ET @@ -8065,30 +8289,30 @@ Q Q Q q -1 0 0 1 57.02362 333.0236 cm +1 0 0 1 57.02362 501.0236 cm Q q -1 0 0 1 57.02362 303.0236 cm +1 0 0 1 57.02362 471.0236 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 285.0236 cm +1 0 0 1 57.02362 453.0236 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.) 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Tests ``cons`` allocation throughput - **hash-table**: 1,000 ``set!`` + ``ref`` operations. Tests Python dict interop overhead +6.4 Three Implementations Head-to-Head (i5-8350U) +^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + +Same hardware, same workloads, in-process timing via ``current-time-ms``. Best of two runs. + +.. table:: + :widths: 26 18 18 18 + + ======================== =========== =========== =========== + Benchmark Python fast C asm + ======================== =========== =========== =========== + sum-to(100 000) 583 ms 121 ms **74 ms** + sum-to(1 000 000) 5,432 ms 1,200 ms **734 ms** + fib(35) iterative ~0 ms ~0 ms ~0 ms + ackermann(3, 8) = 2045 18,479 ms (segfault) **2,383 ms** + ======================== =========== =========== =========== + +asm wins every measurable workload on this hardware. The C interpreter segfaults on ackermann(3, 8) because its evaluator uses the host C stack for Scheme frames; ackermann recurses thousands of levels deep. asm and Python-fast both use explicit frame storage and handle the recursion cleanly. asm beats Python-fast by ~7× on ``sum-to(1M)`` and ~8× on ``ackermann(3, 8)`` despite asm being a tree-walker with no JIT — the constant-factor difference from eliminating Python's dict lookups, stack frames, and GC coordination is large. + +**asm's remaining bottleneck is allocation, not lookup.** Profiling ``sum-to(1M)`` shows ~170 MB RSS — each tail call through ``apply_closure`` + ``env_define`` allocates 24 bytes per parameter (sym / val / parent), twice per ``loop`` iteration, for 48 MB total before the three ``heap_grow`` events that follow. A future optimization candidate is per-frame batched allocation (``8 + 16N`` bytes once per call instead of ``24N``), or env-cell in-place reuse for self-tail-calls. An inline cache for env lookups (ported from Python's VM) turns out to help less than anticipated because asm's env chains are typically only 2 deep and each step is a pointer dereference; measured upper bound is ~5%. 7. Portal: Feedback Across Time ---------------------------------------- @@ -652,6 +672,8 @@ The numerical approaches enumerate all pairwise EML compositions at each depth, The Lean proof operates over abstract ``exp`` & ``ln`` functions with the axioms ``exp(ln(x)) = x``, ``ln(exp(x)) = x``, & ``ln(1) = 0``. This makes the result independent of any particular real number implementation. +**First machine-checked treatment.** The original paper (Odrzywołek, arXiv:2603.21852v2, 2026-04-04) presents the EML universality claim analytically — pure LaTeX mathematics, no formal tool. The companion Zenodo artifact is symbolic-regression / gradient-optimization code, not a verification. To our knowledge the Lean 4 proof shipped in this repo is the first machine-checked treatment of the EML identities. Five theorems, zero ``sorry``, no Mathlib dependency — 40× faster than the brute-force numerical search it replaced, and carrying the additional guarantee that no implementation quirk of floating point can ever break the conclusion. + 9. Language Coverage ---------------------