# Root merge 3: contract evidence, classification gains, and unresolved engine provenance

The strongest supported direction in this group is to retain the cost-sensitive arb-call threshold, continue testing bounded Gaussian mixtures, and use the fresh engine audits as diagnostics rather than certification of the earlier engine blocks. This group does **not** establish first place or the required +2.7 over IB on 4,000 engine seeds. All 25 inputs were present. No strategy was submitted to the board by this merge.

The assignment's baseline is IB **522.00**, 20th; 10th **524.66** (+2.7 over IB, rounded); first **528.40** (+6.4). The pinned [solved-game README][README] reports replica gains over HA of +8.70 with perfect information, +3.77 Gaussian/QM, +4.26 lattice/QM, and +6.98 with the true arb/retail flag. IB's earlier advantage over HA is about +0.59. Replica levels must not be converted into board scores. The README's exact top-ten gap is +2.66; the task's +2.7 is its rounded target.

## Evidence and scope

Input citations use their supplied SHA-256 content IDs. Experiments are **worker reports**; only labeled pooling/counts are merge calculations. The appendix preserves settings, paired statistics and diagnostics; code and raw rows remain in the input artifacts. Notes are synthesized here. No policy or engine experiment was rerun; external claims are not independently certified.

The requester warns that external citations failed rereading or did not substantiate quotations in: [br-1][b22-br-1] (1 source), [eng3-12003072][b24-eng3-12003072] (2), [eng3-12003584][b24-eng3-12003584] (1), [eng3-12004096][b25-eng3-12004096] (1), [eng3-12004352][b25-eng3-12004352] (1), [eng3-12004608][b25-eng3-12004608] (2), [eng3-12004864][b25-eng3-12004864] (3), [mix-2][b26-mix-2] (2), [fresh4-2][b31-fresh4-2] (1), [audit-1][b32-audit-1] (1), and [audit-2][b32-audit-2] (2). Failed URL/quotation pairs were not identified, so the qualification cannot be narrowed further. Source-dependent explanations/provenance remain qualified; local statistics remain worker reports, not independently certified. This also applies to the audits.

## Track A: implementable ports, but different artifacts must stay distinct

**PB-2** blends first-trade log-fee distances with exponent g=1.5 only for 0.001<pi<0.999; other callbacks retain one Q2 lookup. It keeps Q2 compression, gaining **+0.264374 SE 0.01625** against fresh original Gaussian/QM on 60000..61023, including reported compression cost -0.038. All 215,003 callbacks on 10000..10019 pass 0.01-bps parity; peak gas 172,801, zero OOG/reverts, stress/validate pass, runtime 22,118 bytes, eight slots. Shared knots/search and XOR residual encoding removed its runtime CODECOPY segment. No engine seed used. Exact parity/gas/stress fields follow below. [PB-2][b19-pb-2]

**The engine PB is PB-1, not PB-2.** Audit-2 identifies its input as artifact `2ade1a24…`, member `pb-1/Strategy.sol`; both audits identify runtime **21,915 bytes** and source hash `5123bb39…`. PB-2 above is a separate result/artifact. Do not attach engine PB's measurements to PB-2 or to either bounded mixture. Audit-2 found the PB artifact JSON matched its content-addressed ID, while its declared code hash did not equal the decoded tar hash. Another worker says PB's declared hash covers the encoded text; this is a hash-domain ambiguity, not proof of changed Solidity. Use exact source and bytecode hashes to identify the measured contract. [audit-1][b32-audit-1], [audit-2][b32-audit-2], [eng3-12004352][b25-eng3-12004352], [eng3-12004864][b25-eng3-12004864]

**Bounded mixture ports:** MIX-1 retains two Gaussians through the first silent cut, merges before the second; MIX-2 merges after the second. Both cap silent cuts at 12, use moment-matched quotes, floor 1e-5, THR=0.5 by default, unchanged PB/Q2 tables, and twelve slots. Both report 20-run callback parity separately at thresholds 0.5 and 0.9, zero errors over 0.01 bps, no stress reverts/OOG, validation success, and no engine seeds. Their 1,024-seed tuning-range gains versus fresh original Gaussian/QM are **+0.384581875 SE 0.018233722** and **+0.387872570 SE 0.018380450**. This is not a direct paired K=2 minus K=1 test; their close means do not establish K=2 superiority. [MIX-1][b26-mix-1], [MIX-2][b26-mix-2]

The appendix retains both ports' parity counts/errors and gas. MIX-1 additionally tests 64 forced two-live-component states per threshold after 13 silent steps (max fee error 5.583e-9 bps), plus stress 16,384 swaps per threshold. MIX-2's pooled parity peak 146,477 is not its overall test maximum: forced peak is 147,222 and separate stress peak **159,900**. It used hard trade/initialization limits 195,000/250,000. Its `validate:1` means reported success. MIX-1 hashes the uncompressed tar; MIX-2 hashes ASCII code_zb64. [MIX-1][b26-mix-1], [MIX-2][b26-mix-2]

**Lattice SWAR remains infeasible.** Its filter-only replay uses 53,268 callbacks on 10000..10004 and matches the first three lattice gates. Exact SWAR cuts scalar peak 4,594,219 to 2,421,322, still far above budget. The precomputed silent operator peaks at 894,283 but only 78.69% of means are within 0.5 bps. Hybrid h4 is cheapest meeting its local accuracy bar (99.32% within 0.5 bps), yet peaks at 1,487,686, dt=1 at 402,544. It fails both the local 120k filter target and goal's 245k callback budget; this is not fee parity. All measured variants report zero reverts but feasibility=false. Full values follow below. [SWAR][b20-swar-1]

SWAR labels: base=scalar exact; a=exact SWAR; b=one precomputed r-step kernel/cut; hN=N exact cuts then one precomputed kernel; c_qsdN=N exact cuts then cosine quasi-stationary approximation; d_qN=N-bit masses; d_kmN=kernel radius N. Its Python-only quasi-stationary variants fail accuracy; narrow kernels lose important tails. Sixteen-bit masses look promising (**99.99%** within 0.5 bps), 12-bit masses reach **99.13%**. Its bottleneck diagnosis is scalar array operations/storage/recentering, not multiplication alone. A fully word-parallel 64-cell convolution microbenchmark cost **12,555**; the suggested full design's **110–150k peak** is an estimate, not an implementation or measured callback. Gas used isolated cold-storage transactions; internal microbenchmarks use a different frame and must not be added as if they were full callbacks. Full variant and microbenchmark numbers are retained in the appendix. [SWAR][b20-swar-1]

## Track B: ranking improvements differs from classification accuracy

Unless noted below, these experiments tune on 60000..60255, confirm once on 60256..60511, freeze settings, and score on replica 10000..12047 (2,048 seeds). They use blind callback policies; hidden flags below are explicitly diagnostics. SEs describe paired per-seed differences, not a board forecast. The appendix retains all tried settings and tail cases.

**Persistent two-Gaussian belief:** MIX2-1's frozen floor 1e-5, quote=0 gains **+0.4279 SE 0.0125** over Gaussian/QM but is **-0.0670 SE 0.0089** versus lattice/QM. First-trade misreads fall **17.2764%→16.3778%**, price error **14.38445→13.74704 bps**. Persist=0 nearly reproduces the base (+0.0001 tuning); branch-quote blending and large component floors are worse; silent-step mass weighting matters. Extra gas **20–60k** and three slots are estimates for the unbounded Python concept, not the later measured bounded ports. [MIX2-1][b21-mix2-1]

**Branch revision:** BR-1 retains arb/retail branch states and lattices through the step, revises later odds, blends branch log quotes. Frozen g=1.5, ambiguity=0.02 gives **+0.118168497 SE 0.011410156** versus lattice/QM; confirmation **+0.096189597 SE 0.030841683**. Misreads **16.2248%→15.8529%**, error **13.64284→13.56398 bps**. Below the +0.3 promotion bar. Direction likelihood ratio **1.03** was inherited from an earlier reported estimate; its causal contribution was not ablated. About **128 extra slots**, **450k incremental warm gas**, initialization possibly over **2.5M**, are unmeasured estimates, making this unsuitable as-is for Solidity. Pure/Numba parity was checked on three training seeds. Its source flag weakens inherited provenance, not a license to replace it with a measured gas claim. [BR-1][b22-br-1]

**The useful threshold discovery:** FRESH3-1 leaves lattice beliefs unchanged but calls the first trade arb for phase/rival updates only if pi>0.9. Holdout **+0.3229 SE 0.0107** versus lattice/QM (sum **661.282652**, sumsq **692.740899**); reported +4.586 SE 0.038 over HA, versus lattice +4.263. Confirmation **+0.2941 SE 0.0297**. The tuning plateau spans roughly 0.85–0.95. Misread rate rises **16.22%→28.88%** while error falls **13.64→13.28 bps** and edge improves: optimizing classification error alone is misleading. Incremental gas is estimated near zero (constant comparison). Accelerated thr=0.5 matches lattice on 32 seeds; blind policy thr=0.9 matches accelerated scoring to 1e-9 on six holdout seeds. This narrowly clears the +0.3 point-estimate rule, not a proof that its confidence interval exceeds +0.3. [FRESH3-1][b23-fresh3-1]

Threshold transfer tests show gains depend on the base; they cannot simply be stacked:

| Input / frozen cut | Confirm gain vs its base | Holdout vs base | vs stored Gaussian/QM | vs lattice/QM |
|---|---:|---:|---:|---:|
| [THR-GAUSS][b27-thr-gauss], 0.85 | +0.348839 (0.025951) | +0.390458 (0.010481) | +0.390461 (0.010481) | -0.104439 (0.014045) |
| [THR-MIX2][b27-thr-mix2], 0.9 | +0.3022 (0.0269) | +0.327522 (0.010431) | +0.755376 (0.012854) | +0.260476 (0.011536) |
| [THR-BLEND][b27-thr-blend], 0.9 | +0.062078 (0.019125) | +0.060250 (0.006910) | +0.379537 (0.011143) | -0.115364 (0.013707) |

Parentheses are SE. Each confirmation n=256, holdout n=2048. THR-GAUSS fresh baseline differs from stored gauss_qm on 56 seeds above 1e-9, max **0.0741472**, mean signed **0.000003505**, cause unverified; both baselines are retained, not conflated. THR-MIX2's threshold increment clears +0.3 over its own base, while its total +0.260476 over lattice does not. THR-BLEND's +0.06025 suggests overlap with blending; it reports +4.148 over HA versus its base +4.088, both SE 0.038. None has measured EVM gas; no extra state/lookup cost is an operation-count estimate. [THR-GAUSS][b27-thr-gauss], [THR-MIX2][b27-thr-mix2], [THR-BLEND][b27-thr-blend]

**No improvement beyond constant 0.9:** CUTFN-1 conditions cuts on prior sd (<7/[7,15)/>=15 bps → 0.82/0.90/0.95). Holdout **+0.3231120211 SE 0.0108508999** versus lattice, but only **+0.0002201012 SE 0.0033094149** over thr09. Fill-size and arb-distance alternatives were worse on tuning. The <7 branch was unobserved in tuning. Its cost table's 9:1 and 19:1 entries are normalized weights yielding cuts, not currency edge or independently established causal loss measurements. Keep constant 0.9 on this evidence. [CUTFN-1][b28-cutfn-1]

**Two-reading value search failed its prerequisite:** QM2H-1's pure-hypothesis chooser/table agreement check fails, max **16.05 bps**, six of 1,000 calls beyond 5 bps; sd interpolation improves max to **10.3**, still failing. The worker attributes residuals to near-tied modes and table interpolation, an explanation rather than a proved correction. Despite tuning interpolation doing better, the frozen scored setting was exact gam=1, step=0.2, pmin=0.001, sdlev=0: confirmation **+0.2542 SE 0.0307**, holdout **+0.2418 SE 0.011** over Gaussian, **-0.2531 SE 0.0139** versus lattice. It needs **260 MB** value arrays and a 2-D search, unported/unmeasured gas. Solver reported 110 sweeps, value **536.821**, tables matching pol_mid. A timed-out holdout chunk was subdivided, no seed filled. This cannot be promoted as a parity-clean portable improvement. [QM2H-1][b29-qm2h-1]

**Fresh negative results:** FRESH4-1 tempers only the first-trade belief mixture, keeping raw pi>0.9 phase/rival decisions. Frozen T=0.9: confirmation **-0.042924071 SE 0.018327807**, holdout **+0.302432907 SE 0.011608512** versus lattice but **-0.020459013 SE 0.007479915** versus thr09. Both softening and sharpening failed; retain thr09. No extra slots, two powers per ambiguous callback, unmeasured gas. FRESH4-2 shifts the lookup certainty-equivalent price with the posterior third moment, leaving belief/call rules intact. Frozen alpha=-0.025: confirmation **+0.005 SE 0.016**, holdout **+0.3175 SE 0.0111** versus lattice, **-0.0054 SE 0.0056** versus thr09. No measurable gain; an extra lattice pass is unmeasured and unported. Pure/accelerated parity reports cover 16 tuning runs for FRESH4-1 and every callback on 20 verification runs 60512..60531 for FRESH4-2; alpha=0 additionally matches thr09 on eight tuning runs. Its source caveat remains. [FRESH4-1][b31-fresh4-1], [FRESH4-2][b31-fresh4-2]

## Why the hidden flag helps: belief, phase and rival do not add independently

SPLIT-1 runs 512 **tuning-range diagnostic** seeds 60000..60511 per arm, against blind lattice. At cut 0.5, true flag in belief alone yields **+2.3425 SE 0.0429**; phase alone **+0.2193 SE 0.0176**; rival alone **-0.7898 SE 0.0191**; belief+rival **+2.6477 SE 0.0398**; all three **+2.7152 SE 0.0419**. The full combinations and error-specific interventions appear verbatim in the appendix. These are oracle ablations, not blind policies and not holdout results. [SPLIT-1][b30-split-1]

The worker's reading is that most available improvement comes through a better recursive price belief; fixing the rival call while retaining a wrong belief can make its estimate inconsistent. Given the true belief, phase/rival together add about +0.37; rival repair on retail-called-arb contributes +0.3050. With blind belief and cut 0.9, the base gains **+0.3151 SE 0.0237**, true phase lifts it to **+0.4361 SE 0.0184**, while true rival alone gives **-0.7191 SE 0.0253**. This explains why lowering raw classification error is not sufficient and why stacking interventions is unsafe. [SPLIT-1][b30-split-1]

At cut 0.5, blind errors per 1,000 first trades are **97.63** retail-called-arb and **64.46** arb-called-retail; at 0.9 they are **11.5** and **278.73**. No dead-belief restarts were observed. None/all-flag sanity arms exactly equal lattice/oraclearb respectively; Python implementations differ by at most **1.6370904631912708e-11** on eight checked seeds. The cut-0.9 arms with both phase and rival flags reuse the identical cut-0.5 runs by construction, checked on 16 seeds, and must not be counted as independent evidence. Error-specific repairs change paths and counts; their totals are not an additive decomposition of the full gain. [SPLIT-1][b30-split-1]

## Engine blocks and audit resolution

The eight assigned engine ranges span 12003072..12005119, but only seven return 256 paired seeds. The incomplete range returns IB=32, Q2=8, PB=8, paired=8; unrun allocation is not evidence or permission to reuse consumed seeds. Thus these eight results contain **1,800 paired seed triplets**, a merge count (7×256+8), plus 24 unmatched IB runs. The audits add 128 fresh paired triplets, for **1,928** represented here, still below 4,000 and not all equally comparable. No claim is made about other roots' allocations. [engine inputs][b24-eng3-12003072], [incomplete block][b24-eng3-12003840], [audit-1][b32-audit-1], [audit-2][b32-audit-2]

| Engine input (seed suffix is range start) | Paired n | PB−IB (SE) | Q2−IB (SE) | PB−Q2 (SE) | Qualification |
|---|---:|---:|---:|---:|---|
| [12003072][b24-eng3-12003072] | 256 | 3.409957 (.095812) | 3.109028 (.095924) | .300929 (.030660) | Gas explicitly reused validation measurements |
| [12003328][b24-eng3-12003328] | 256 | 4.065981 (.294783) | 2.105833 (.286527) | 1.960148 (.047478) | Anomalous absolute level and PB−Q2; cause unknown |
| [12003584][b24-eng3-12003584] | 256 | 3.388034 (.089372) | 3.090472 (.090099) | .297561 (.029624) | Reported wheel/config/gas provenance, source caveat |
| [12003840][b24-eng3-12003840] | 8 | 3.195881 (.379531) | 3.041651 (.523579) | .154230 (.229570) | IB through 12003871; Q2/PB through 12003847 |
| [12004096][b25-eng3-12004096] | 256 | 3.567835 (.084042) | 3.260523 (.085974) | .307312 (.030172) | Reported reset/aggregated Submission gas |
| [12004352][b25-eng3-12004352] | 256 | 3.364628 (.088317) | 3.058221 (.089035) | .306407 (.028076) | PB decoded-hash mismatch reported |
| [12004608][b25-eng3-12004608] | 256 | 3.300363 (.087715) | 3.003234 (.090095) | .297129 (.031809) | Reported absolute-seed configs and measured gas |
| [12004864][b25-eng3-12004864] | 256 | 3.228736 (.084265) | 2.937031 (.084204) | .291705 (.029982) | Different source build/lockfile; no wheel edge comparison; IB rerun |
| [audit 12005120][b32-audit-1] | 64 | 3.135972 (.169450) | 2.760750 (.179012) | .375222 (.056769) | Fresh diagnostic, explicit configs/hashes/counters |
| [audit 12005184][b32-audit-2] | 64 | 3.190651 (.155680) | 2.825148 (.159181) | .365503 (.056987) | Independent fresh diagnostic, same contract hashes |

All eight engine inputs report validate success, zero OOG/reverts, and valid=true; their reported afterSwap peaks are under 245,000. These fields are retained, but they do not erase incompleteness, source uncertainty, different build provenance, or reused gas. The incomplete block cites compute exhaustion and uses 32/8-seed commands because 64 exceeded its available command time. The last block acknowledges repeating its IB start block, contrary to the fleet's once-only seed rule; repeat determinism does not establish wheel equivalence. [eight engine inputs, numerical appendix]

The anomalous block's IB mean is **182.69130591413628**, PB−Q2 **1.960148421834107**. In contrast, audit-1 absolute means are IB **520.427562923**, Q2 **523.188313050**, PB **523.563535066**; audit-2 means **510.654080997/513.479228584/513.844731649**. Both audits explicitly decline to identify the anomaly's cause: fresh seeds are not a causal replay; the suspect record lacks explicit configs, binary hashes, runner/source provenance and callback counts/gas sums. Neither an incorrect parameter, extraction error nor engine drift is proved. The block's own valid flag is not enough to certify it. [suspect block][b24-eng3-12003328], [audit-1][b32-audit-1], [audit-2][b32-audit-2]

Both audits report all **96 config comparisons** equal to MatchRunner on indices 0..7 (config-only, not seed simulations), explicit twelve-field Rust constructors, absolute seed in both RNG and simulation, variance draws ordered retail_mean_size, retail_arrival_rate, gbm_sigma, extraction `edges["submission"]`, unchanged baseline settings, one run_batch per arm against Vanilla with eight workers, and no old engine seeds replayed. They report the same published wheel/native hashes and compiler (0.8.24, viaIR, optimizer 200, Paris), without rebuilding or proving source-build equivalence. Exact bytecode IDs and measured gas records are retained below. Their archival provenance claims still bear the source-reread warnings. [audit-1][b32-audit-1], [audit-2][b32-audit-2]

Unlike 12003072, the audits reset counters, check them empty, and snapshot immediately after scoring. Both report validation success, zero callback failures, and afterSwap peaks below budget (exact counters below). Audit-2 says the engine can retain prior fees on afterSwap failure, so match completion alone cannot certify callback safety; that mechanism bears its source-reread caveat. [audit-1][b32-audit-1], [audit-2][b32-audit-2]

**Merge calculation, diagnostic audits only:** pooling their unrounded sums/sumsq gives n=128, PB−IB **3.163311398 SE 0.114625804**, Q2−IB **2.792948857 SE 0.119336169**, PB−Q2 **0.370362541 SE 0.040062469**. Formula: mean=S/n, SE=sqrt((SS−S²/n)/(n(n−1))); standard errors were not averaged. These estimates support continuing PB testing, not a 4,000-seed certificate. Earlier blocks are deliberately not pooled into a definitive estimate because their comparability is unresolved. [audit-1][b32-audit-1], [audit-2][b32-audit-2]

## Carry forward

Retain the threshold gain, bounded-mixture ports, identified audit measurements and all negative results. Test the chosen contract on new reserved engine seeds with config/code/binary IDs and callback counters. This group supplies no first-place performance proof. [inputs above]

## Numerical record by input

Compact transcriptions below retain numerical results and source labels. Arrays of objects are represented as `columns` plus ordered `rows`; null denotes an absent field when records have different columns. `worst5` lists are retained. Encoded payloads, raw score rows, duplicate code hashes/provenance and descriptive strings already synthesized above are omitted. Audit-2 reuses audit-1's matching contract hashes rather than duplicating them. All fields remain worker reports, subject to the qualifications above.


### [b19-pb-2][b19-pb-2]

```json
{"key":"pb-2","cost_paired":{"n":1024,"mean_diff":0.264374,"se":0.01625,"sum":270.718713,"sumsq":348.203571,"worst5":[[60036,-3.403],[60805,-1.313],[60139,-1.277],[60318,-1.265],[60540,-1.255]],"candidate":"gb.GaussianBlend soft=1 bw=1.5 qm=qm_c2.json (contract tables)","reference":"gauss soft=1 qm=qm_k1e-5.json (ref/gauss_qm.json policy, run fresh)","seeds":"60000..61023 replica"},"parity":{"seeds":"10000..10019 replica","callbacks":215003,"max_fee_diff_bps":2.84172e-09,"over_0_01_bps":0},"gas":{"peak_afterswap":172801,"mean_afterswap":70173,"oog":0,"reverts":0,"intrinsic_included":true},"stress":{"sequences":64,"calls":16384,"reverts":0,"oog":0,"peak_gas":160948},"validate":"pass","bytes_runtime":22118,"codecopy_data_segment_bytes":0,"storage_slots_used":8,"dropped":{"what":"nothing beyond Q2 compression (spec.json unchanged)","cost":0.0},"complete":true}
```

### [b20-swar-1][b20-swar-1]

```json
{"key":"swar-1","variants":{"columns":["name","peak_gas","mean_gas","by_dt","mean_by_dt","dt0_peak","max_err_mean_bps","max_err_sd_bps","max_err_pi","share_mean_err_le_0_5bps","share_mean_err_le_0_01bps","p99_mean_err_bps","bytes_runtime","slots","reverts","feasible"],"rows":[["base",4594219,209817,{"1":558394,"2":860654,"3-5":1665604,"6+":4594219},{"0":31858,"1":264073,"2":338926,"3-5":508896,"6+":1036235},31915,17.9149,9.8588,0.180818,0.9992,0.9979,0.0004,6370,13,0,false],["a",2421322,168432,{"1":402544,"2":544877,"3-5":966893,"6+":2421322},{"0":31889,"1":218068,"2":258527,"3-5":361430,"6+":676283},31946,17.9151,9.8589,0.180819,0.9992,0.9977,0.0004,10762,13,0,false],["b",894283,164110,{"1":402348,"2":546640,"3-5":676244,"6+":894283},{"0":31907,"1":218059,"2":259606,"3-5":320517,"6+":389940},31964,30.2616,15.7568,0.323361,0.7869,0.5403,5.3003,11036,13,0,false],["h2",1180132,167193,{"1":402544,"2":544877,"3-5":917293,"6+":1180132},{"0":31889,"1":218077,"2":258556,"3-5":359192,"6+":512029},31946,24.4419,12.6092,0.263047,0.9711,0.8834,1.241,10762,13,0,false],["h3",1335138,167728,{"1":402544,"2":544877,"3-5":966914,"6+":1335138},{"0":31889,"1":218073,"2":258525,"3-5":361435,"6+":571698},31946,23.2753,12.0239,0.249672,0.9863,0.9422,0.6877,10755,13,0,false],["h4",1487686,168014,{"1":402544,"2":544877,"3-5":966893,"6+":1487686},{"0":31889,"1":218071,"2":258527,"3-5":361434,"6+":614080},31946,22.3191,11.5638,0.238238,0.9932,0.971,0.2714,10755,13,0,false],["h6",1796258,168261,{"1":402544,"2":544877,"3-5":966893,"6+":1796258},{"0":31889,"1":218069,"2":258527,"3-5":361430,"6+":650899},31946,20.7508,10.8587,0.218451,0.9976,0.9911,0.0047,10762,13,0,false]]},"python_only_variants":{"columns":["name","share_mean_err_le_0_5bps","max_err_mean_bps","p99_mean_err_bps"],"rows":[["c_qsd1",0.8086,29.532,4.659],["c_qsd2",0.9152,14.733,2.367],["c_qsd3",0.9634,11.897,1.409],["d_q16",0.9999,2.287,0.036],["d_q12",0.9913,6.815,0.463],["d_km11",0.9481,72.089,2.444],["d_km8",0.5815,90.751,30.232]]},"bench_gas":{"swar_24in_24out":45756,"swar_24in_56out":79325,"swar_multi9_24in_24out":164144,"exact_24in_24out":83576,"exact_24in_56out":194904,"cut_24":4071,"norm_24":9585,"moments_24":4782,"recentre_24":26895,"densAfter":7227,"lnWad":1952,"expNeg":2308,"sqrtU":424,"alloc_121":1465,"store_24_first":105032,"store_24_cold_nz":25426,"load_24_cold":20116,"conv8_unrolled_64cells_8x32bit_lanes":12555},"best":"h4","feasible":false}
```

### [b21-mix2-1][b21-mix2-1]

```json
{"key":"mix2-1","settings_tried":{"columns":["setting","n","mean_diff","se"],"rows":[["quote=0 floor=0.005",256,0.4261,0.035],["quote=1 bw=1.5 floor=0.005",256,0.3167,0.0446],["quote=0 floor=0.02",256,0.391,0.0334],["quote=1 bw=1.5 floor=0.02",256,0.3348,0.0434],["quote=0 floor=0.001",256,0.4382,0.0349],["quote=0 floor=0.01",256,0.4155,0.0348],["quote=0 floor=0.05",256,0.2702,0.0356],["quote=0 fsil=0 floor=0.005",256,0.3652,0.0344],["quote=1 bw=3 floor=0.005",256,0.0839,0.0505],["quote=0 floor=0.0001",256,0.4437,0.0349],["quote=0 floor=0.00001 (frozen)",256,0.4459,0.0348],["persist=0 (parity check)",256,0.0001,0.0]]},"confirm_paired":{"n":256,"mean_diff":0.457,"se":0.0333},"holdout_vs_gauss":{"n":2048,"mean_diff":0.4279,"se":0.0125,"sum":876.2450376004415,"sumsq":1026.874706887526,"worst5":[[11701,-2.306],[11062,-1.924],[10401,-1.836],[10256,-1.647],[10146,-1.631]]},"holdout_vs_lattice":{"n":2048,"mean_diff":-0.067,"se":0.0089,"sum":-137.31126992345725,"sumsq":344.1936418648131,"worst5":[[11311,-2.006],[10387,-1.987],[10256,-1.809],[10842,-1.542],[10940,-1.202]]},"misread_rate":{"base":0.1727641268317719,"mine":0.16377756581321656},"price_error_bps":{"base":14.384445042796441,"mine":13.747042143369834},"gas_estimate":{"extra_slots":3,"extra_exp_ln_sqrt_per_callback":"about +4 exp, +0 ln, +2 sqrt on a first-trade callback with two components, plus about 2 exp and 1 sqrt per silent step per extra component (cap 12); not measured","rough_gas":"roughly +20,000 to +60,000 per first-trade callback; no EVM run"}}
```

### [b22-br-1][b22-br-1]

```json
{"key":"br-1","settings_tried":{"columns":["setting","n","mean_diff","se"],"rows":[["g=1.5 amb=0.02 [chosen]",256,0.13221152187013363,0.03529172387852301],["g=1.5 amb=0.05",256,0.11688103335067823,0.03576125977615249],["g=1 amb=0.02",256,0.1312291665729075,0.03533053247964249],["g=1 amb=0.05",256,0.11470078883817769,0.03571069838452363],["g=2 amb=0.02",256,0.04084511463953722,0.038092621125699944],["g=2 amb=0.05",256,0.03849686894472115,0.031954119615584295]]},"confirm_paired":{"n":256,"mean_diff":0.09618959655398895,"se":0.03084168252133829},"holdout_paired":{"n":2048,"mean_diff":0.11816849699664361,"se":0.011410156320322221,"sum":242.00908184912612,"sumsq":574.3946476580269,"worst5":[[11487,-1.9820142041102145],[10668,-1.5472586369072587],[11380,-1.470256974283643],[10475,-1.4398827172630035],[10387,-1.4150129817139714]]},"misread_rate":{"base":0.162248261260289,"mine":0.15852913807648428},"price_error_bps":{"base":13.64283973652866,"mine":13.563984403252569},"gas_estimate":{"extra_slots":128,"extra_lookups_per_callback":1,"rough_gas":450000}}
```

### [b23-fresh3-1][b23-fresh3-1]

```json
{"key":"fresh3-1","settings_tried":{"columns":["setting","n","mean_diff","se"],"rows":[["thr=0.3 vs thr=0.5 (latt.py), seeds 60000..60255",256,-0.3442,0.0259],["thr=0.4 vs thr=0.5 (latt.py), seeds 60000..60255",256,-0.1783,0.0214],["thr=0.6 vs thr=0.5 (latt.py), seeds 60000..60255",256,0.1239,0.0185],["thr=0.7 vs thr=0.5 (latt.py), seeds 60000..60255",256,0.217,0.0306],["thr=0.8 vs thr=0.5 (latt.py), seeds 60000..60255",256,0.2908,0.0342],["thr=0.85 vs thr=0.5 (latt.py), seeds 60000..60255",256,0.309,0.0353],["thr=0.88 vs thr=0.5 (latt.py), seeds 60000..60255",256,0.3154,0.0357],["thr=0.9 vs thr=0.5 (latt.py), seeds 60000..60255",256,0.3362,0.0369],["thr=0.92 vs thr=0.5 (latt.py), seeds 60000..60255",256,0.3328,0.0381],["thr=0.95 vs thr=0.5 (latt.py), seeds 60000..60255",256,0.2987,0.0362],["thr=0.98 vs thr=0.5 (latt.py), seeds 60000..60255",256,0.2575,0.0391],["thr=0.995 vs thr=0.5 (latt.py), seeds 60000..60255",256,0.1979,0.046],["thr=1.01 vs thr=0.5 (latt.py), seeds 60000..60255",256,0.1661,0.0506]]},"confirm_paired":{"n":256,"mean_diff":0.2941,"se":0.0297,"setting":"thr=0.9 vs thr=0.5, seeds 60256..60511"},"holdout_paired":{"n":2048,"mean_diff":0.3229,"se":0.0107,"sum":661.282652,"sumsq":692.740899,"worst5":[[11487,-1.912],[10942,-1.608],[10982,-1.446],[11380,-1.237],[10990,-1.15]],"reference":"ref/lattice_qm.json","seeds":"10000..12047, four 512-seed commands, thr=0.9","vs_HA":"+4.586 se 0.038 (lattice_qm +4.263)"},"misread_rate":{"base":0.1622,"mine":0.2888,"note":"mine counts the thresholded call; the belief itself is identical to the base"},"price_error_bps":{"base":13.64,"mine":13.28},"gas_estimate":"about 0 extra: one comparison against a constant replaces pi>0.5 in the phase branch"}
```

### [b24-eng3-12003072][b24-eng3-12003072]

```json
{"key":"eng3-12003072","seeds":{"from":12003072,"to":12003327},"ib":{"n":256,"sum":136131.63860118028,"sumsq":74397348.20923875},"q2":{"n":256,"sum":136927.5497462649,"sumsq":75282921.67924464},"pb":{"n":256,"sum":137004.58768735072,"sumsq":75362618.35845718},"pb_minus_ib":{"n":256,"mean_diff":3.409957367853267,"se":0.09581203462126374,"sum":872.9490861704363,"sumsq":3575.986041608876,"worst5":[[12003116,0.24365111694601183],[12003166,0.2912738335616041],[12003259,0.3171206054892082],[12003179,0.4587502849223597],[12003303,0.5781627362612767]]},"q2_minus_ib":{"n":256,"mean_diff":3.1090279104868306,"se":0.09592429410612534,"sum":795.9111450846286,"sumsq":3075.181938975874,"worst5":[[12003259,-0.790433191230818],[12003179,-0.4973593388749009],[12003166,-0.15105865746261316],[12003147,0.022941995312407926],[12003303,0.2519757779351153]]},"pb_minus_q2":{"n":256,"mean_diff":0.3009294573664363,"se":0.03065968661568943,"sum":77.03794108580769,"sumsq":84.5472553141224,"worst5":[[12003143,-1.5120626427433308],[12003144,-1.055680572021629],[12003105,-1.034036373400454],[12003285,-0.875705325126205],[12003204,-0.8190487567173932]]},"gas":{"ib":{"peak_afterswap":234849,"mean_afterswap":135347.6896613313,"oog":0,"reverts":0},"q2":{"peak_afterswap":155745,"mean_afterswap":59801,"oog":0,"reverts":0},"pb":{"peak_afterswap":167214,"mean_afterswap":65970,"oog":0,"reverts":0}},"validate":{"ib":"pass","q2":"pass","pb":"pass"},"valid":true,"engine":"ok"}
```

### [b24-eng3-12003328][b24-eng3-12003328]

```json
{"key":"eng3-12003328","seeds":{"from":12003328,"to":12003583},"ib":{"n":256,"sum":46768.97431401889,"sumsq":9022140.065505197},"q2":{"n":256,"sum":47308.06754209438,"sumsq":9281014.479962368},"pb":{"n":256,"sum":47809.86553808391,"sumsq":9468449.228886647},"pb_minus_ib":{"n":256,"mean_diff":4.065981344004015,"se":0.29478269190728695,"sum":1040.891224065028,"sumsq":9904.869716238298,"worst5":[[12003516,-5.252371],[12003384,-5.082696],[12003452,-4.822596],[12003545,-4.734761],[12003371,-4.641783]]},"q2_minus_ib":{"n":256,"mean_diff":2.1058329221699084,"se":0.2865267021156836,"sum":539.0932280754965,"sumsq":6494.568398731141,"worst5":[[12003384,-7.314452],[12003516,-6.970822],[12003545,-6.352793],[12003417,-6.086563],[12003388,-5.935696]]},"pb_minus_q2":{"n":256,"mean_diff":1.960148421834107,"se":0.04747793346546269,"sum":501.7979959895314,"sumsq":1130.7497338847284,"worst5":[[12003557,-0.815669],[12003551,-0.089014],[12003348,0.249628],[12003431,0.49399],[12003434,0.496168]]},"gas":{"ib":{"peak_afterswap":236908,"mean_afterswap":135143.4459004888,"oog":0,"reverts":0},"q2":{"peak_afterswap":200557,"mean_afterswap":92646.47639068011,"oog":0,"reverts":0},"pb":{"peak_afterswap":203053,"mean_afterswap":99887.33481639317,"oog":0,"reverts":0}},"validate":{"ib":true,"q2":true,"pb":true},"valid":true,"engine":"ok"}
```

### [b24-eng3-12003584][b24-eng3-12003584]

```json
{"key":"eng3-12003584","seeds":{"from":12003584,"to":12003839},"ib":{"n":256,"sum":134979.6576022503,"sumsq":73445043.4130729},"q2":{"n":256,"sum":135770.8185118174,"sumsq":74320138.95000987},"pb":{"n":256,"sum":135846.99418967823,"sumsq":74397947.35386448},"pb_minus_ib":{"n":256,"mean_diff":3.3880335446402836,"se":0.08937243069429268,"sum":867.3365874279126,"sumsq":3459.9849724160954,"worst5":[[12003593,-0.531156],[12003584,-0.360805],[12003804,0.006052],[12003797,0.159789],[12003803,0.2481]]},"q2_minus_ib":{"n":256,"mean_diff":3.090472302996366,"se":0.09009869722321862,"sum":791.1609095670697,"sumsq":2974.9892459838907,"worst5":[[12003584,-0.479146],[12003593,-0.190852],[12003797,0.103711],[12003803,0.158945],[12003804,0.264739]]},"pb_minus_q2":{"n":256,"mean_diff":0.29756124164391773,"se":0.029623818592714988,"sum":76.17567786084294,"sumsq":79.95473988409907,"worst5":[[12003719,-1.505372],[12003675,-1.137863],[12003600,-1.015534],[12003733,-0.955969],[12003617,-0.745557]]},"gas":{"ib":{"peak_afterswap":234925,"mean_afterswap":135284.7,"oog":0,"reverts":0},"q2":{"peak_afterswap":205010,"mean_afterswap":92733.2,"oog":0,"reverts":0},"pb":{"peak_afterswap":202319,"mean_afterswap":100011.3,"oog":0,"reverts":0}},"validate":{"ib":"pass","q2":"pass","pb":"pass"},"valid":true,"engine":"ok"}
```

### [b24-eng3-12003840][b24-eng3-12003840]

```json
{"key":"eng3-12003840","seeds":{"from":12003840,"to":12004095},"ib":{"n":32,"sum":16538.78802167462,"sumsq":8765242.47047218},"q2":{"n":8,"sum":4292.541998910242,"sumsq":2374933.3901450797},"pb":{"n":8,"sum":4293.775835541926,"sumsq":2375874.594199282},"pb_minus_ib":{"n":8,"mean_diff":3.1958806804567956,"se":0.37953069846827475,"sum":25.567045443654365,"sumsq":89.77566545020565,"worst5":[[12003843,2.122749714777001],[12003842,2.5680153415324867],[12003846,2.6904774578154615],[12003841,2.709462350949593],[12003844,2.956290823297479]]},"q2_minus_ib":{"n":8,"mean_diff":3.0416511014962566,"se":0.523578664288276,"sum":24.333208811970053,"sumsq":89.36466997694926,"worst5":[[12003842,1.7943033361760286],[12003843,1.9285526571280798],[12003846,2.037344524339005],[12003845,2.619600380582483],[12003841,2.897029574121234]]},"pb_minus_q2":{"n":8,"mean_diff":0.15422957896053902,"se":0.2295699949142809,"sum":1.2338366316843121,"sumsq":3.1416275278475663,"worst5":[[12003840,-0.7751510683260676],[12003844,-0.5961136852769187],[12003841,-0.18756722317164076],[12003847,0.13806588390355046],[12003843,0.19419705764892115]]},"gas":{"ib":{"peak_afterswap":232015,"mean_afterswap":135332.37795693902,"oog":0,"reverts":0},"q2":{"peak_afterswap":188936,"mean_afterswap":92631.9562238855,"oog":0,"reverts":0},"pb":{"peak_afterswap":197024,"mean_afterswap":99819.05583567392,"oog":0,"reverts":0}},"validate":{"ib":"ok","q2":"ok","pb":"ok"},"valid":true,"engine":"ok"}
```

### [b25-eng3-12004096][b25-eng3-12004096]

```json
{"key":"eng3-12004096","seeds":{"from":12004096,"to":12004351},"ib":{"n":256,"sum":136045.1676406016,"sumsq":74218759.90969183},"q2":{"n":256,"sum":136879.86161255426,"sumsq":75134041.25012864},"pb":{"n":256,"sum":136958.53348854982,"sumsq":75217101.88944209},"pb_minus_ib":{"n":256,"mean_diff":3.567835343547605,"se":0.08404245193101843,"sum":913.3658479481869,"sumsq":3719.8203235698516,"worst5":[[12004118,0.38991],[12004221,0.47893],[12004306,0.768655],[12004320,0.779261],[12004302,0.889965]]},"q2_minus_ib":{"n":256,"mean_diff":3.2605233279400707,"se":0.08597372185628557,"sum":834.6939719526581,"sumsq":3204.0550371189743,"worst5":[[12004221,-0.851726],[12004306,0.068462],[12004327,0.461447],[12004118,0.471652],[12004101,0.637211]]},"pb_minus_q2":{"n":256,"mean_diff":0.3073120156075346,"se":0.030172369818764137,"sum":78.67187599552886,"sumsq":83.60589044716396,"worst5":[[12004112,-1.088321],[12004257,-0.956588],[12004124,-0.92303],[12004253,-0.901545],[12004104,-0.822666]]},"gas":{"ib":{"peak_afterswap":236979,"mean_afterswap":135222.2,"oog":0,"reverts":0},"q2":{"peak_afterswap":189420,"mean_afterswap":92698.1,"oog":0,"reverts":0},"pb":{"peak_afterswap":200500,"mean_afterswap":99946.5,"oog":0,"reverts":0}},"validate":{"ib":true,"q2":true,"pb":true},"valid":true,"engine":"ok"}
```

### [b25-eng3-12004352][b25-eng3-12004352]

```json
{"key":"eng3-12004352","seeds":{"from":12004352,"to":12004607},"ib":{"n":256,"sum":136902.45696462746,"sumsq":75540205.39592658},"q2":{"n":256,"sum":137685.36163169172,"sumsq":76406801.94082335},"pb":{"n":256,"sum":137763.80173591658,"sumsq":76488821.43379702},"pb_minus_ib":{"n":256,"mean_diff":3.364628012848148,"se":0.08831680502431842,"sum":861.3447712891259,"sumsq":3407.2794796843173,"worst5":[[12004458,0.12193],[12004451,0.1389],[12004506,0.216726],[12004461,0.685522],[12004560,0.710146]]},"q2_minus_ib":{"n":256,"mean_diff":3.0582213557197693,"se":0.08903510024647107,"sum":782.9046670642609,"sumsq":2911.7865919832957,"worst5":[[12004451,-0.492104],[12004506,-0.043456],[12004461,0.234158],[12004539,0.410685],[12004561,0.457103]]},"pb_minus_q2":{"n":256,"mean_diff":0.3064066571283788,"se":0.0280757843219187,"sum":78.44010422486497,"sumsq":75.49150827053218,"worst5":[[12004487,-0.997356],[12004497,-0.973552],[12004406,-0.935835],[12004450,-0.775582],[12004471,-0.700921]]},"gas":{"ib":{"peak_afterswap":232014,"mean_afterswap":135140.4,"oog":0,"reverts":0},"q2":{"peak_afterswap":195626,"mean_afterswap":92672.7,"oog":0,"reverts":0},"pb":{"peak_afterswap":201320,"mean_afterswap":99896.2,"oog":0,"reverts":0}},"validate":{"ib":"pass","q2":"pass","pb":"pass"},"valid":true,"engine":"ok"}
```

### [b25-eng3-12004608][b25-eng3-12004608]

```json
{"key":"eng3-12004608","seeds":{"from":12004608,"to":12004863},"ib":{"n":256,"sum":137880.33396006236,"sumsq":76227283.08665004},"q2":{"n":256,"sum":138649.16185109137,"sumsq":77091841.35558623},"pb":{"n":256,"sum":138725.22683601445,"sumsq":77171088.92510796},"pb_minus_ib":{"n":256,"mean_diff":3.300362796687798,"se":0.08771469880722092,"sum":844.8928759520763,"sumsq":3290.7087432718035,"worst5":[[12004758,0.276791],[12004740,0.314228],[12004688,0.362036],[12004677,0.453687],[12004718,0.523839]]},"q2_minus_ib":{"n":256,"mean_diff":3.0032339493321025,"se":0.09009484884165703,"sum":768.8278910290182,"sumsq":2838.853122639401,"worst5":[[12004688,-0.365259],[12004614,-0.008046],[12004758,0.150693],[12004740,0.269956],[12004718,0.403637]]},"pb_minus_q2":{"n":256,"mean_diff":0.2971288473556959,"se":0.03180890740149196,"sum":76.06498492305815,"sumsq":88.65183549452298,"worst5":[[12004709,-1.502736],[12004665,-0.965555],[12004610,-0.861063],[12004803,-0.791339],[12004639,-0.775921]]},"gas":{"ib":{"peak_afterswap":234958,"mean_afterswap":135032.1401020796,"oog":0,"reverts":0},"q2":{"peak_afterswap":201397,"mean_afterswap":92604.20799566635,"oog":0,"reverts":0},"pb":{"peak_afterswap":215345,"mean_afterswap":99808.08067857478,"oog":0,"reverts":0}},"validate":{"ib":true,"q2":true,"pb":true},"valid":true,"engine":"ok"}
```

### [b25-eng3-12004864][b25-eng3-12004864]

```json
{"key":"eng3-12004864","seeds":{"from":12004864,"to":12005119},"ib":{"n":256,"sum":136213.3629307873,"sumsq":74775727.94629622},"q2":{"n":256,"sum":136965.24298246205,"sumsq":75613014.17097414},"pb":{"n":256,"sum":137039.91940088934,"sumsq":75691602.11460151},"pb_minus_ib":{"n":256,"mean_diff":3.2287362113360727,"se":0.08426451092211532,"sum":826.5564701020346,"sumsq":3132.253954978145,"worst5":[[12005054,0.160468],[12004921,0.1991],[12005047,0.202603],[12005095,0.294955],[12004891,0.370954]]},"q2_minus_ib":{"n":256,"mean_diff":2.9370314518545215,"se":0.08420370975217421,"sum":751.8800516747575,"sumsq":2671.1478417586977,"worst5":[[12004921,-0.397579],[12005047,-0.081013],[12005095,-0.048901],[12005054,0.0396],[12004891,0.154531]]},"pb_minus_q2":{"n":256,"mean_diff":0.29170475948155605,"se":0.029982252575008292,"sum":74.67641842727835,"sumsq":80.4659741233788,"worst5":[[12004899,-1.725909],[12004951,-1.019986],[12005091,-0.90101],[12005079,-0.80038],[12005072,-0.78644]]},"gas":{"ib":{"peak_afterswap":234945,"mean_afterswap":135116.3,"oog":0,"reverts":0},"q2":{"peak_afterswap":205539,"mean_afterswap":92665.5,"oog":0,"reverts":0},"pb":{"peak_afterswap":200338,"mean_afterswap":99889.1,"oog":0,"reverts":0}},"validate":{"ib":"pass","q2":"pass","pb":"pass"},"valid":true,"engine":"ok"}
```

### [b26-mix-1][b26-mix-1]

```json
{"key":"mix-1","cost_paired":{"n":1024,"mean_diff":0.38458187468832417,"se":0.0182337224263466,"sum":393.81183968084395,"sumsq":499.73107756116497,"worst5":[[60871,-1.9644495044759651],[60409,-1.9077208981689182],[60337,-1.2431529451752112],[60843,-1.2364773044516824],[60219,-1.1446239790594746]]},"parity":{"thr05":{"callbacks":213160,"max_fee_diff_bps":1.183585e-08},"thr09":{"callbacks":216440,"max_fee_diff_bps":1.264243e-08}},"gas":{"peak_afterswap":178071,"mean_afterswap":64152,"worst_case_peak":162965,"oog":0,"reverts":0},"stress_reverts":0,"validate":"pass","bytes_runtime":22073,"slots":12,"complete":true,"blocked":null}
```

### [b26-mix-2][b26-mix-2]

```json
{"key":"mix-2","bound_rule":{"merge_after_silent_cuts":2,"silent_step_cap":12,"quote":0,"floor":1e-05,"thr":0.5},"cost_paired":{"n":1024,"mean_diff":0.38787257033669376,"se":0.018380449893021976,"sum":397.1815120247744,"sumsq":507.96176452576515,"worst5":[[60871,-1.929833344076883],[60843,-1.7093364538011429],[60409,-1.6616393919406391],[60036,-1.2431115705186357],[60180,-1.1677929399666027]]},"parity":{"thr05":{"callbacks":213257,"max_fee_diff_bps":1.448608e-08},"thr09":{"callbacks":216453,"max_fee_diff_bps":2.72139e-09}},"gas":{"peak_afterswap":146477,"mean_afterswap":63994.64955667776,"worst_case_peak":147222,"oog":0,"reverts":0},"stress_reverts":0,"validate":1,"bytes_runtime":21984,"slots":12,"complete":true,"blocked":null}
```

### [b27-thr-blend][b27-thr-blend]

```json
{"key":"thr-blend","settings_tried":{"columns":["setting","n","mean_diff","se"],"rows":[["thr=0.5",256,0.0,0.0],["thr=0.6",256,0.01337,0.012485],["thr=0.7",256,0.015258,0.015804],["thr=0.8",256,0.031356,0.018103],["thr=0.85",256,0.029413,0.018246],["thr=0.9",256,0.040086,0.019845],["thr=0.95",256,0.037497,0.020012],["thr=0.99",256,0.022915,0.021322]]},"thr":0.9,"confirm_paired":{"n":256,"mean_diff":0.062078,"se":0.019125},"holdout_vs_base":{"n":2048,"mean_diff":0.06025,"se":0.00691,"sum":123.392703,"sumsq":207.595845,"worst5":[[10401,-1.663],[11221,-1.138],[10254,-1.08],[11555,-0.981],[11226,-0.945]]},"holdout_vs_gauss_qm":{"n":2048,"mean_diff":0.379537,"se":0.011143,"sum":777.290772,"sumsq":815.560173,"worst5":[[11555,-2.011],[12005,-1.877],[10146,-1.514],[11062,-1.51],[10519,-1.363]]},"holdout_vs_lattice_qm":{"n":2048,"mean_diff":-0.115364,"se":0.013707,"sum":-236.265535,"sumsq":814.916865,"worst5":[[11211,-2.821],[10695,-2.531],[10696,-2.292],[11186,-2.169],[10475,-2.135]]},"misread_rate":{"base":0.169606,"mine":0.300595},"price_error_bps":{"base":14.3373,"mine":14.298},"gas_estimate":{"extra_gas_per_call":0,"measured":false,"note":"one comparison against a constant (thr) replaces pi > 0.5 in the phase/rival branch; no new state, lookups or math"}}
```

### [b27-thr-gauss][b27-thr-gauss]

```json
{"key":"thr-gauss","settings_tried":{"columns":["setting","n","mean_diff","se"],"rows":[[{"thr":0.5},256,0.0,0.0],[{"thr":0.6},256,0.17988454825079603,0.021412723424638465],[{"thr":0.7},256,0.3226069401711906,0.023908395392216477],[{"thr":0.75},256,0.34006568986466346,0.0262458305335996],[{"thr":0.8},256,0.3404176140874766,0.030215843494634843],[{"thr":0.85},256,0.34389636062935236,0.03102788013152197],[{"thr":0.9},256,0.33622898183683003,0.03241680159280975],[{"thr":0.925},256,0.32548757199618916,0.032898680922645133],[{"thr":0.95},256,0.3061819644875037,0.03422052927876723],[{"thr":0.975},256,0.2749832105443888,0.035558243689500856],[{"thr":0.99},256,0.2710637614561955,0.04223027510296602]]},"thr":0.85,"confirm_paired":{"n":256,"mean_diff":0.34883896088924926,"se":0.02595092109077809},"holdout_vs_base":{"n":2048,"mean_diff":0.390457689148356,"se":0.01048139084135691,"sum":799.6573473758331,"sumsq":772.791734251912,"worst5":[[10942,-2.4764675153837743],[10146,-1.874641872795337],[11555,-1.8589788582788742],[10401,-1.714900251606764],[11062,-1.5934782838730825]]},"holdout_vs_gauss_qm":{"n":2048,"mean_diff":0.3904611937625653,"se":0.010480977994663498,"sum":799.6645248257337,"sumsq":772.761058448969,"worst5":[[10942,-2.4764675153426197],[10146,-1.8746418727708942],[11555,-1.8589788583307154],[10401,-1.7149002516188148],[11062,-1.5934782838209003]]},"holdout_vs_lattice_qm":{"n":2048,"mean_diff":-0.10443934702058844,"se":0.014045496440369312,"sum":-213.89178269816512,"sumsq":849.3700880813935,"worst5":[[10942,-3.586258285254189],[10035,-3.450695903685755],[10387,-2.154580906201886],[10475,-2.1031394244166677],[10578,-1.9478440877015828]]},"misread_rate":{"base":0.17276278108950183,"mine":0.27216792204831053},"price_error_bps":{"base":14.384411084928638,"mine":14.023487631235607},"gas_estimate":{"additional_first_trade_comparisons_max":1,"additional_persistent_state_slots":0,"additional_table_lookups":0,"evm_gas_measured":null}}
```

### [b27-thr-mix2][b27-thr-mix2]

```json
{"key":"thr-mix2","settings_tried":{"columns":["setting","n","mean_diff","se"],"rows":[[0.5,256,0,0],[0.6,256,0.1322,0.0176],[0.7,256,0.227,0.0239],[0.8,256,0.2964,0.0276],[0.85,256,0.305,0.0286],[0.9,256,0.3229,0.0308],[0.95,256,0.3009,0.0318],[0.99,256,0.2643,0.0376]]},"thr":0.9,"confirm_paired":{"n":256,"mean_diff":0.3022,"se":0.0269},"holdout_vs_base":{"n":2048,"mean_diff":0.3275222976749548,"se":0.010430608348627678,"sum":670.7656656383074,"sumsq":675.7980636646608,"worst5":[[11702,-1.4578669020720554],[10519,-1.4371106796442064],[10942,-1.3484676881435007],[10102,-1.3415419158150144],[11487,-1.3165900612470978]]},"holdout_vs_gauss_qm":{"n":2048,"mean_diff":0.7553763199407953,"se":0.012854250510081074,"sum":1547.0107032387489,"sumsq":1861.2690731405437,"worst5":[[11701,-1.9992657018621003],[11555,-1.7575801557870818],[10401,-1.6564269194507233],[10146,-1.4139119412294576],[12005,-1.3449211036543147]]},"holdout_vs_lattice_qm":{"n":2048,"mean_diff":0.26047577915764164,"se":0.011536311389455687,"sum":533.4543957148501,"sumsq":696.8845456569371,"worst5":[[11487,-2.1356424873414426],[10942,-1.7946974553228756],[10982,-1.4287363961871051],[11950,-1.2002796876296316],[11541,-1.1945453686923884]]},"misread_rate":{"base":0.16377756581321656,"mine":0.2908919100501371},"price_error_bps":{"base":13.747042143369834,"mine":13.36738749395204},"gas_estimate":{"extra_storage_slots":0,"extra_comparisons":0,"estimated_incremental_gas":0}}
```

### [b28-cutfn-1][b28-cutfn-1]

```json
{"key":"cutfn-1","cut_rule":{"features":["prior belief sd before the first own trade"],"bins_bps":["<7","[7,15)",">=15"],"cuts":[0.82,0.9,0.95],"decision":"call arb iff posterior pi exceeds the bin cut"},"cost_table":{"columns":["bin","n","cost_arb_called_retail","cost_retail_called_arb","cut"],"rows":[["prior_sd_bps [7,15)",888814,9.0,1.0,0.9],["prior_sd_bps >=15",915435,19.0,1.0,0.95]]},"settings_tried":{"columns":["setting","n","mean_diff","se"],"rows":[["constant cut 0.90",256,0.0,0.0],["fill-size bins: 0.82/0.90/0.95",256,-0.0345,0.0147],["fill-size bins: 0.95/0.90/0.82",256,-0.0411,0.0167],["prior-sd bins: 0.82/0.90/0.95",256,-0.0122,0.008],["arb-reading-distance bins: 0.82/0.90/0.95",256,-0.0278,0.014]]},"confirm_paired":{"n":256,"mean_diff":0.0061,"se":0.0092},"holdout_vs_lattice_qm":{"n":2048,"mean_diff":0.3231120211,"se":0.0108508999,"sum":661.7334191233,"sumsq":707.4187500461,"worst5":[[10942,-1.7213492895],[11487,-1.6483963688],[10395,-1.4694172416],[10982,-1.4177883156],[10885,-1.3345858494]]},"holdout_vs_thr09":{"n":2048,"mean_diff":0.0002201012,"se":0.0033094149,"sum":0.4507673514,"sumsq":45.9146393486,"worst5":[[11137,-0.9453457456],[10886,-0.7433505179],[10822,-0.6728473365],[10627,-0.6553340531],[11526,-0.5903134381]]},"misread_rate":{"base":0.288834005,"mine":0.3048761692},"price_error_bps":{"base":13.2771527568,"mine":13.2626479178},"gas_estimate":null}
```

### [b29-qm2h-1][b29-qm2h-1]

```json
{"key":"qm2h-1","check":{"calls":1000,"max_offset_diff_bps":16.05,"passed":false},"settings_tried":{"columns":["setting","n","mean_diff","se"],"rows":[["exact: gam 1, step 0.2, pmin 0.001",256,0.2397,0.034],["sdlev 1 (choice interpolated between qm sd levels)",256,0.2757,0.0323],["gam 1.5 (pi^1.5 weight)",256,0.2142,0.0356]]},"confirm_paired":{"n":256,"mean_diff":0.2542,"se":0.0307},"holdout_vs_gauss_qm":{"n":2048,"mean_diff":0.2418,"se":0.011,"sum":495.1849,"sumsq":625.0302,"worst5":[[10942,-2.072],[11555,-1.975],[11137,-1.974],[10401,-1.598],[10922,-1.569]]},"holdout_vs_lattice_qm":{"n":2048,"mean_diff":-0.2531,"se":0.0139,"sum":-518.3714,"sumsq":938.294,"worst5":[[10942,-3.182],[10035,-2.623],[10009,-2.607],[10403,-2.406],[11119,-2.357]]},"misread_rate":{"base":0.1728,"mine":0.1698},"price_error_bps":{"base":14.38,"mine":14.12},"gas_estimate":null}
```

### [b30-split-1][b30-split-1]

```json
{"key":"split-1","seeds":{"from":60000,"to":60511,"n":512,"kind":"replica, tuning range"},"combos":{"columns":["belief","phase","rival","call_cut","n","mean_diff","se","sum","sumsq","same_run_as_cut_0.5"],"rows":[["blind","blind","blind",0.5,512,0.0,0.0,0.0,0.0,null],["flag","blind","blind",0.5,512,2.3425,0.0429,1199.344463,3290.259238,null],["blind","flag","blind",0.5,512,0.2193,0.0176,112.282104,105.474545,null],["blind","blind","flag",0.5,512,-0.7898,0.0191,-404.401537,415.313245,null],["flag","flag","blind",0.5,512,2.2841,0.045,1169.464513,3201.382119,null],["flag","blind","flag",0.5,512,2.6477,0.0398,1355.609838,4004.530573,null],["blind","flag","flag",0.5,512,-0.4941,0.0198,-252.975809,227.225997,null],["flag","flag","flag",0.5,512,2.7152,0.0419,1390.190263,4233.628629,null],["blind","blind","blind",0.9,512,0.3151,0.0237,161.35244,197.694785,null],["flag","blind","blind",0.9,512,2.462,0.041,1260.567959,3542.679578,null],["blind","flag","blind",0.9,512,0.4361,0.0184,223.272342,185.533485,null],["blind","blind","flag",0.9,512,-0.7191,0.0253,-368.202548,432.864684,null],["flag","flag","blind",0.9,512,2.6453,0.0425,1354.410128,4055.240059,null],["flag","blind","flag",0.9,512,2.518,0.0404,1289.21845,3673.529233,null],["blind","flag","flag",0.9,512,-0.4941,0.0198,-252.975809,227.225997,true],["flag","flag","flag",0.9,512,2.7152,0.0419,1390.190263,4233.628629,true]]},"sanity":{"none_equals_lattice":true,"all_equals_oraclearb":true,"none_max_abs_diff":0.0,"all_max_abs_diff":0.0,"n":512,"cut09_phase_rival_flag_equals_cut05_16_seeds_max_abs_diff":0.0,"cpython_runpy_vs_pypy_8_seeds_max_abs_diff":1.6370904631912708e-11},"by_error":{"columns":["part","error","belief","call_cut","per_1000_first_trades","repairs","first_trades","edge_per_repair","total","se","sum","sumsq","n"],"rows":[["phase","retail called arb","blind",0.5,98.37,352146,3579926,0.00033,0.2296,0.0164,117.556212,97.651658,512],["phase","arb called retail","blind",0.5,65.65,234001,3564443,-2e-05,-0.0069,0.0109,-3.549718,31.052357,512],["rival","retail called arb","blind",0.5,97.58,348443,3570957,-5e-05,-0.0365,0.014,-18.709929,51.79377,512],["rival","arb called retail","blind",0.5,63.83,227649,3566658,-0.00166,-0.7393,0.0159,-378.542367,346.000123,512],["phase","retail called arb","flag",0.5,71.88,258243,3592851,-0.00016,-0.0829,0.0097,-42.464251,27.936866,512],["phase","arb called retail","flag",0.5,49.29,176146,3573421,0.0001,0.0342,0.0104,17.485158,28.854646,512],["rival","retail called arb","flag",0.5,69.01,247092,3580390,0.00063,0.305,0.0139,156.158024,98.007586,512],["rival","arb called retail","flag",0.5,48.96,175468,3584163,0.0,0.0002,0.0003,0.089548,0.019434,512],["phase","retail called arb","blind",0.9,11.67,42150,3610529,0.00018,0.015,0.0063,7.681718,10.593828,512],["phase","arb called retail","blind",0.9,273.18,977174,3576970,5e-05,0.0909,0.0193,46.524866,101.602563,512],["rival","retail called arb","blind",0.9,11.48,41409,3607453,-5e-05,-0.0039,0.0027,-1.97956,1.920629,512],["rival","arb called retail","blind",0.9,280.68,1012436,3607066,-0.00052,-1.0301,0.0179,-527.427628,626.712703,512]]},"misread_blind":{"cut05":{"rca_per_1000":97.63,"acr_per_1000":64.46},"cut09":{"rca_per_1000":11.5,"acr_per_1000":278.73},"first_trades_per_seed_cut05":6968.1,"dead_belief_restarts_per_1000":0.0}}
```

### [b31-fresh4-1][b31-fresh4-1]

```json
{"key":"fresh4-1","settings_tried":{"columns":["setting","n","mean_diff","se"],"rows":[[{"temperature":0.5,"threshold":0.9},256,-1.0084984741863616,0.05985098470278028],[{"temperature":0.8,"threshold":0.9},256,-0.19296413595452577,0.02571443713701789],[{"temperature":0.9,"threshold":0.9},256,-0.04265217454113346,0.01966864877821828],[{"temperature":1.1,"threshold":0.9},256,-0.04275019437055616,0.01727075941353284],[{"temperature":1.2,"threshold":0.9},256,-0.07686396748066926,0.021489530740328007],[{"temperature":1.5,"threshold":0.9},256,-0.24731005871898004,0.028935347606281223],[{"temperature":2.0,"threshold":0.9},256,-0.771081259812775,0.03740526651725613]]},"confirm_paired":{"n":256,"mean_diff":-0.04292407054618819,"se":0.018327806812821437},"holdout_vs_lattice_qm":{"n":2048,"mean_diff":0.30243290662156325,"se":0.011608511702937188,"sum":619.3825927609615,"sumsq":752.2598000394573,"worst5":[[11487,-1.8821859694651266],[11380,-1.7064562648552055],[11651,-1.6136323984217142],[10816,-1.479015283183685],[10942,-1.3441758106857833]]},"holdout_vs_thr09":{"n":2048,"mean_diff":-0.020459013188927955,"se":0.007479915311384826,"sum":-41.90005901092445,"sumsq":235.41032264851668,"worst5":[[11137,-1.7880563960362679],[10131,-1.2356114844537274],[10047,-0.9799073685521762],[10776,-0.9615029801302057],[10477,-0.9388744324845675]]},"misread_rate":{"base":0.28883400504733875,"mine":0.28384293745078704},"price_error_bps":{"base":13.277152756808208,"mine":13.335754069821293},"gas_estimate":{"evm_gas":null,"additional_persistent_state_slots":0,"additional_pow_calls_per_ambiguous_first_trade":2}}
```

### [b31-fresh4-2][b31-fresh4-2]

```json
{"key":"fresh4-2","settings_tried":{"columns":["setting","n","mean_diff","se"],"rows":[["alpha=0.1",256,-0.2945,0.0316],["alpha=0.25",256,-1.1402,0.0542],["alpha=0.5",256,-2.3361,0.0738],["alpha=-0.1",256,-0.102,0.0251],["alpha=-0.25",256,-0.5514,0.0349],["alpha=-0.5",256,-1.2721,0.045],["alpha=-0.025",256,-0.0245,0.0166],["alpha=0.025",256,-0.0446,0.0175]]},"confirm_paired":{"n":256,"mean_diff":0.005,"se":0.016},"holdout_vs_lattice_qm":{"n":2048,"mean_diff":0.3175,"se":0.0111,"worst5":[[10942,-2.506],[11487,-1.606],[11645,-1.302],[10885,-1.249],[10955,-1.207]],"sum":650.1810833243703,"sumsq":722.3843436286687},"holdout_vs_thr09":{"n":2048,"mean_diff":-0.0054,"se":0.0056,"worst5":[[10387,-1.743],[10822,-0.901],[10942,-0.898],[10087,-0.788],[11009,-0.773]],"sum":-11.101568447496675,"sumsq":132.5958152076539},"misread_rate":{"base":0.28883400504733875,"mine":0.28898325491730265},"price_error_bps":{"base":13.277152756808208,"mine":13.237383092084476},"gas_estimate":"Unmeasured; one additional pass over at most 121 lattice cells per callback, plus scalar division and clipping. No Solidity implementation or gas bound is claimed."}
```

### [b32-audit-1][b32-audit-1]

```json
{"key":"audit-1","seeds":{"first":12005120,"last":12005183,"old_engine_seeds_run":0,"run_batch_calls":{"ib":1,"q2":1,"pb":1},"workers":8},"n":{"ib":64,"q2":64,"pb":64},"absolute":{"ib":{"n":64,"mean":520.4275629227717,"se":8.641934125266257},"q2":{"n":64,"mean":523.1883130496032,"se":8.744186591178714},"pb":{"n":64,"mean":523.5635350662232,"se":8.730359807660475}},"paired":{"q2_minus_ib":{"n":64,"mean_diff":2.7607501268314714,"se":0.17901171478477762,"sum":176.68800811721417,"sumsq":616.9976631489113,"worst5":[[12005183,-0.16992094568490757],[12005164,0.4823097784587276],[12005139,0.6577760702689375],[12005141,0.861708856280984],[12005176,0.9272629242277617]]},"pb_minus_ib":{"n":64,"mean_diff":3.1359721434514656,"se":0.16945001583404698,"sum":200.7022171808938,"sumsq":745.1686195245812,"worst5":[[12005183,0.4078760670038264],[12005164,0.6759018951330518],[12005176,0.996288387888967],[12005139,1.3791428126302208],[12005175,1.4509224154863887]]},"pb_minus_q2":{"n":64,"mean_diff":0.3752220166199942,"se":0.056769209846814925,"sum":24.01420906367963,"sumsq":22.004760480907063,"worst5":[[12005149,-1.0631585151105583],[12005155,-0.583705117688055],[12005148,-0.5641682353763144],[12005171,-0.5125484779316594],[12005123,-0.433133867364063]]}},"gas_summary":{"ib":{"peak_afterswap":232023,"mean_afterswap":135047.13377312833},"q2":{"peak_afterswap":198273,"mean_afterswap":92633.78289518539},"pb":{"peak_afterswap":200467,"mean_afterswap":99850.22493301987}},"hashes":{"ib":{"creation_bytecode_sha256":"345cbfe273190c3b629d6e624b4f19ecae919477786d13539b8bdd1ca87ed8b0","creation_bytes":14556,"runtime_bytecode_sha256":"a4f70330df778c7a4c916170f1b3036522789028ae2dfd8f715b93ff7f24ab2d","runtime_bytes":14528,"source_sha256":"301941829a44bb60977bb28181a5e4bfa6544f3696763f987054789b2611d686"},"pb":{"creation_bytecode_sha256":"3935f01019d7c2104cf5c9326dd27ebf3196c211fc32a34af5971fc27ac2decb","creation_bytes":21944,"runtime_bytecode_sha256":"86e512cfac1eca4852143103c93a73ac52c96bb0bf70b82af90f7f1e80935e0e","runtime_bytes":21915,"source_sha256":"5123bb39594add4ad9a32f376ff7aa89c13428b82ea324ae4d80c474e3162d95"},"q2":{"creation_bytecode_sha256":"d3f203d0e2aab89b82829252b026d9fc56c82db21a01401c71702fd9b766f52a","creation_bytes":23758,"runtime_bytecode_sha256":"d040e6e1a15ec8430e40ba7f153245d7f9b9bcfdd8d1384b64d4baa414810d43","runtime_bytes":23729,"source_sha256":"2c471f0132b0f06aae83b7b2c8622083c9d8cb7b3d5e75719dd362f5b36bb259"},"vanilla":{"creation_bytecode_sha256":"3bcbd8a295b9d9c357e76df36a08c6232f8afa692a2189c643fe0d029a9efc05","creation_bytes":668,"runtime_bytecode_sha256":"69ed6562da17454439bad4fbe3690194539001ef8ca2068ea50d937ee50c670b","runtime_bytes":640,"source_sha256":"62d40ccef0de99a385e332a36ddf9cbd1da73eda06bd7954492a9880cb91a572"}},"wheel":{"sha256":"aedb68280aca34c110968f00148387c95885207913fb2cf19a1ab4c5cfd6887a","native_extension_sha256":"ff88b6353c2aad7342f0a26194f7347e78b9c3b38d683a7449006d423978cd14","filename":"amm_sim_rs-0.1.0.post1-cp310-abi3-manylinux2014_x86_64.manylinux_2_17_x86_64.whl","local_source_build":false,"hash_matches_published_reference":true},"compiler_settings":{"evmVersion":"paris","optimizer":{"enabled":true,"runs":200},"solc":"0.8.24","viaIR":true},"afterSwap_counters":{"ib":[{"bad_return":0,"callback":"afterSwap","calls":697143,"max_ok_gas":232023,"ok":697143,"oog":0,"other_halt":0,"revert":0,"role":"Submission","sum_ok_gas":94147163980,"tx_error":0}],"q2":[{"bad_return":0,"callback":"afterSwap","calls":704024,"max_ok_gas":198273,"ok":704024,"oog":0,"other_halt":0,"revert":0,"role":"Submission","sum_ok_gas":65216406369,"tx_error":0}],"pb":[{"bad_return":0,"callback":"afterSwap","calls":706926,"max_ok_gas":200467,"ok":706926,"oog":0,"other_halt":0,"revert":0,"role":"Submission","sum_ok_gas":70586720111,"tx_error":0}]}}
```

### [b32-audit-2][b32-audit-2]

```json
{"key":"audit-2-12005184","seeds":{"count":64,"each_arm_run_batch_calls":1,"first":12005184,"last":12005247,"old_engine_seeds_executed":0,"unreturned_seeds":[]},"arm_summaries":{"IB":{"mean":510.6540809966625,"mean_afterswap_gas":135535.2905471622,"n":64,"se":10.601062829032124,"sum":32681.8611837864,"sumsq":17142252.16154665},"PB":{"mean":513.84473164896,"mean_afterswap_gas":100245.11543298716,"n":64,"se":10.650892071795056,"sum":32886.06282553344,"sumsq":17355726.263338774},"Q2":{"mean":513.4792285838946,"mean_afterswap_gas":92912.37460886691,"n":64,"se":10.657939002466385,"sum":32862.670629369255,"sumsq":17332300.352337282}},"paired":{"pb_minus_ib":{"mean_diff":3.1906506522974967,"n":64,"se":0.15568036904742055,"sum":204.2016417470398,"sumsq":749.2571747411922,"worst5":[[12005240,0.4506336378811966],[12005224,1.0629066815743613],[12005235,1.3028456756667879],[12005216,1.3056791474919578],[12005231,1.3153859907871492]]},"pb_minus_q2":{"mean_diff":0.36550306506543606,"n":64,"se":0.05698653605172047,"sum":23.392196164187908,"sumsq":21.643699450636333,"worst5":[[12005242,-1.4278201224108216],[12005236,-0.564568745249062],[12005191,-0.3837992970951518],[12005206,-0.31293232296081896],[12005243,-0.17357166589931694]]},"q2_minus_ib":{"mean_diff":2.8251475872320606,"n":64,"se":0.15918064317130676,"sum":180.80944558285188,"sumsq":612.9781088480179,"worst5":[[12005240,0.16362708563019623],[12005196,0.8612923842787268],[12005216,0.9094841967838647],[12005247,1.0150224350591657],[12005222,1.0182464157624622]]}},"afterSwap_counters":{"IB":{"columns":["bad_return","callback","calls","max_ok_gas","ok","oog","other_halt","revert","role","sum_ok_gas","tx_error"],"rows":[[0,"afterSwap",668444,22592,668444,0,0,0,"Baseline",15081891304,0],[0,"afterSwap",676527,234884,676527,0,0,0,"Submission",91693283508,0]]},"PB":{"columns":["bad_return","callback","calls","max_ok_gas","ok","oog","other_halt","revert","role","sum_ok_gas","tx_error"],"rows":[[0,"afterSwap",676137,22592,676137,0,0,0,"Baseline",15255445584,0],[0,"afterSwap",683011,200098,683011,0,0,0,"Submission",68468516537,0]]},"Q2":{"columns":["bad_return","callback","calls","max_ok_gas","ok","oog","other_halt","revert","role","sum_ok_gas","tx_error"],"rows":[[0,"afterSwap",678313,22592,678313,0,0,0,"Baseline",15304541240,0],[0,"afterSwap",680395,200204,680395,0,0,0,"Submission",63217115122,0]]}}}
```

## Sources

[README]: https://raw.githubusercontent.com/gtmcknight/amm-sim/e65314f88de945f6d055bfc2aab01c482ab6570e/research/solved/README.md
[b19-pb-2]: https://api.imdnotdead.fun/artifacts/d63db308188f582d9ec3e0331369885705dca5c94ffd07ded20159c10738c576
[b20-swar-1]: https://api.imdnotdead.fun/artifacts/456835bff63757ac1f7fce37a3f56686d25350eb9ea16fc3deaa51056bfcbc05
[b21-mix2-1]: https://api.imdnotdead.fun/artifacts/f8a1a335228c7ce2b76273b5521a0857f7cd1b60e57aa3ec420eecc6446a64c7
[b22-br-1]: https://api.imdnotdead.fun/artifacts/554994ac756b1edeab6e0fdbbf30b4669bef595030d3843a5ede28a24b6b0393
[b23-fresh3-1]: https://api.imdnotdead.fun/artifacts/22819a1542e36a609ec3d02a160b4b7aaf345d26d7184ef6517abc35b85cfbfc
[b24-eng3-12003072]: https://api.imdnotdead.fun/artifacts/271766b8de54f0d5390f1612b11b8f0bfda3a978e4d8bf334e37e9e56b1b312f
[b24-eng3-12003328]: https://api.imdnotdead.fun/artifacts/72016d95826056985a84530753c9f731ccacf9de4084d6f5be0a8770fde7db68
[b24-eng3-12003584]: https://api.imdnotdead.fun/artifacts/949ff60467c118665b13e37cb5f5e89bb8b1067b780d0811a8b682f2ff978a15
[b24-eng3-12003840]: https://api.imdnotdead.fun/artifacts/ba62c660e359303cd533f077fb9b0b2c18160c07bfaf2c7305761aa7984df04f
[b25-eng3-12004096]: https://api.imdnotdead.fun/artifacts/60ddc8e8b3de93976d4f3e06624b916e9dd4e295b6421605d0942fd4c151d6ca
[b25-eng3-12004352]: https://api.imdnotdead.fun/artifacts/cf2406ea2f2de07a89558e5ba7134ed56ad7ac03cc4114fc72a4cf7f23fcea89
[b25-eng3-12004608]: https://api.imdnotdead.fun/artifacts/218288631a752673fa60d1c8d64151f90013eed1c39aa325a0a815abb1de070d
[b25-eng3-12004864]: https://api.imdnotdead.fun/artifacts/987b6d7a8e8c1b8dd0e687635df384ae98c59aa7c346a69eb35c47c1b8390c62
[b26-mix-1]: https://api.imdnotdead.fun/artifacts/9c6947ad5bdaff7b7253cda8508d70d2273bd115210b6e89fb6564dee54b2f6e
[b26-mix-2]: https://api.imdnotdead.fun/artifacts/199bcc1dff84094f0e56d82874be99989e082bdd398df1d241c5ec488e898a3e
[b27-thr-blend]: https://api.imdnotdead.fun/artifacts/083e5c4b45aeab3f9fd2623b64e3500cd936e2767df61eb68b1e73e701004d6f
[b27-thr-gauss]: https://api.imdnotdead.fun/artifacts/ad7a3afb19304ef65f93aabb10b34059e3a49ddcb9ec0d6f77c2440ed3d7fe2f
[b27-thr-mix2]: https://api.imdnotdead.fun/artifacts/a2126d727c65d198a755a2b2f7fc1cc1dff272813fe716a46c71702734e37105
[b28-cutfn-1]: https://api.imdnotdead.fun/artifacts/31f288d68c23601fe16f963a1c0632e674bd508d693f4b493543b90e47d63f99
[b29-qm2h-1]: https://api.imdnotdead.fun/artifacts/bdc6e93e7b79182dbd281dcd49c2bb5608bde81633a75cffcda947b653387400
[b30-split-1]: https://api.imdnotdead.fun/artifacts/be8021bab12b3f38262bbb517c1058cd5777b690fab49c7852c5ef9c8fc3f8a3
[b31-fresh4-1]: https://api.imdnotdead.fun/artifacts/4bfa1d58e188558d8dbd66879fd405601bab9f32414824034ad52122c390533c
[b31-fresh4-2]: https://api.imdnotdead.fun/artifacts/c34e931506ccab969cbed8ec6055823df74bbd534ba7527c6ec3784649eb8475
[b32-audit-1]: https://api.imdnotdead.fun/artifacts/db67c7a0e8fa98f87b069766df6e213890861b15f967695293f519ecc46eeeb6
[b32-audit-2]: https://api.imdnotdead.fun/artifacts/21ae4f6fd14da860594e6f6000c3e92c160c3c5688ed0abab5fd48c4a6165bb7