Taylor (gtmcknight) is credited for the solved policy, Gaussian filter, qm tables and replica research.

The frozen ComboG(1) shards contain 256 paired rows on inclusive seeds 9804340–9804595, with no duplicates or missing seeds. Recomputed provisional mean difference is 0.721191294363, SE 0.038823541077. Candidate observed afterSwap peak is 220634 gas; qt1 peak is 208857. Runtimes are 22058 and 20605 bytes respectively. All recorded callback failure counters are zero. These findings derive from the embedded rows, runtime records and complete raw chunk counters attributed below.

Strict merge acceptance remains unresolved: a2s3 omits explicit compiler settings. Source/runtime hashes for both arms and the compiler-helper hash match, supporting compatibility, but missing settings are not invented and confirmation is not marked passed. Combined statistics are provisional descriptive calculations. Neither shard establishes gates P/Q/F. No leaderboard claim is made.

The JSON below is the auditable report. Score/diff strings preserve all recorded digits. Full raw gas_stats are embedded using a lossless dictionary and column encoding; this includes every chunk Submission/afterSwap counter. Source metadata retains ranges, validation, errors and command outcomes. Claims derive from the enclosing source item or stated calculation. Input SHA-256 hashes were verified against the supplied files. No simulations, tuning or source changes were performed.

<a id="raw-gas-item-a2s3"></a>
[item-a2s3: full raw gas_stats](https://api.imdnotdead.fun/artifacts/a59937c96c437c3beefc4eca49ba301076f034109164ca18d05af72287b8df8d) — supplied as `.imd/reads/artifacts/item-a2s3`. Original `/chunks/*/arms/*/gas` is reproduced in `raw_gas_by_item.item-a2s3` using `raw_gas_encoding`. Link availability was not tested; all needed counters are embedded.

<a id="raw-gas-item-a2s4"></a>
[item-a2s4: full raw gas_stats](https://api.imdnotdead.fun/artifacts/19bee2044fce0dac59ec233645f612a7ad41b9a35080d06929bbbdd1820e9e52) — supplied as `.imd/reads/artifacts/item-a2s4`. Original `/chunks/*/gas_stats` is reproduced in `raw_gas_by_item.item-a2s4` using `raw_gas_encoding`. Link availability was not tested; all needed counters are embedded.

```json
{"credit":"Taylor (gtmcknight): solved policy, Gaussian filter, qm tables and replica research.","status":"provisional descriptive aggregation; strict compiler-settings gate unresolved","accepted_confirmation":false,"compatibility":{"variant":"Frozen ComboG(1), TaylorComboGQmTrim2","candidate_source_hashes_identical":true,"qt1_source_hashes_identical":true,"runtime_hashes_identical_both_arms":true,"compile_helper_hashes_identical":true,"compiler_settings_identical":null,"item-a2s3_explicit_settings":null,"item-a2s4_settings":{"version":"0.8.24","optimizer":true,"runs":200,"viaIR":true,"evmVersion":"paris"},"sources":["item-a2s3#/hashes","item-a2s3#/preflight_commands","item-a2s4#/hashes","item-a2s4#/runtime","item-a2s4#/method/compiler"],"limitation":"a2s3 reports use of the same pinned check.py compiled() helper and matching runtime hashes, but omits explicit compiler settings. Compatibility is supported, not fully established under the strict setting-identity requirement. Pooled statistics are provisional only."},"method_by_item":{"item-a2s3":{"engine_repository":"https://github.com/benedictbrady/amm-challenge","engine_commit":"6b6921f8d463314aa7c96234e1be25a25245f704","candidate":"Frozen ComboG(1), supplied TC-A plus supplied unified diff; no policy changes.","pairing":"Each arm alone against 30 bps VanillaStrategy; same assigned seeds used once per arm; no other engine seeds.","engine_call":"amm_sim_rs.run_batch(X, VanillaStrategy, configs, 8)","configs":"Pinned tools/engine.py configs(), verified against pinned MatchRunner._build_configs and BASELINE_VARIANCE; 10000 steps.","chunking":"Sequential 16-seed chunks; candidate then qt1. Raw gas reset/read for each arm; stop checks after each arm.","timeouts":"Each engine arm and chunk command wrapped in timeout 470s.","statistics":"candidate edge minus qt1 edge; sample SD / sqrt(n); worst5 ascending diff then seed.","scope":"Engine confirmation only. P/Q/F are not rerun or certified by this item.","evidence":"Hashes, byte sizes, validation outputs, rows and gas stats are local measurements. URL provenance is in sources.json.","board_claim":false},"item-a2s4":{"engine_commit":"6b6921f8d463314aa7c96234e1be25a25245f704","engine_package":"amm_sim_rs-0.1.0.post1-cp310-abi3-manylinux2014_x86_64.manylinux_2_17_x86_64.whl","compiler":{"version":"0.8.24","optimizer":true,"runs":200,"viaIR":true,"evmVersion":"paris"},"comparison":"Each arm alone versus VanillaStrategy (30 bps), run_batch(X, VanillaStrategy, configs, 8).","config_generation":"Pinned engine.py configs(start,end), equivalent to MatchRunner._build_configs for each assigned seed; np.random.default_rng(seed), draw size then rate then sigma. All three variance flags true.","config":{"n_steps":10000,"initial_price":100,"initial_x":100,"initial_y":10000,"gbm_mu":0,"gbm_dt":1,"retail_buy_prob":"0.5","retail_size_sigma":"1.2","retail_mean_size_uniform":[19,21],"retail_arrival_rate_uniform":["0.6","1.0"],"gbm_sigma_uniform":["0.000882","0.001008"]},"chunk_size":16,"workers":8,"sequential_chunks":true,"gas_stats_reset_and_read":"per arm","se_formula":"sample standard deviation of paired diffs / sqrt(n), ddof=1","runner_guard":"Fetched engine.py and check.py unchanged in same scratch/tools directory; engine_guarded.py adds only an after-arm stop check after saving raw rows/gas. No policy changes. Any reported error or candidate Submission/afterSwap peak above 245000 stops before next arm/chunk.","seed_policy":"Only 9804468..9804595 inclusive; no engine seed replay, tuning, or other engine seeds. Validation initializes only.","scratch_location":"test/scratch/checkout/scratch (under the expressly allowed scratch area)","scope":"Frozen engine confirmation only; gates P/Q/F were not rerun and no new Python reference was introduced."}},"coverage":{"by_item":{"item-a2s3":{"inclusive_range":[9804340,9804467],"n":128,"duplicates":[],"missing":[],"unexpected":[]},"item-a2s4":{"inclusive_range":[9804468,9804595],"n":128,"duplicates":[],"missing":[],"unexpected":[]}},"combined_inclusive_range":[9804340,9804595],"n":256,"duplicate_seeds":[],"missing_seeds":[],"unexpected_seeds":[],"note":"a2s3 first candidate arm marked previously_completed; retained once. Wrapper commands are not additional simulations."},"calculation":{"paired":"n=len(diff); mean=sum(diff)/n; sample_SD=sqrt(sum((diff-mean)^2)/(n-1)); SE=sample_SD/sqrt(n). No averaging of shard SEs. worst5 sorted by diff then seed.","precision":"Scores/diffs preserved as original decimal lexeme strings. Derived decimals use 50 significant digits. Every recorded diff equals binary64 candidate minus qt1; no replacement by rounded decimal subtraction.","gas":"Sum calls, ok, sum_ok_gas and all failure counters by arm/role/callback over every raw chunk; max max_ok_gas; mean=sum_ok_gas/ok. Include all chunks regardless of edge availability."},"paired_provisional":{"n":256,"mean_diff":"0.721191294362505616625","sample_sd":"0.62117665723655521803036680842770125787418220388921","se":"0.038823541077284701126897925526731328617136387743076","worst5":[{"source_item":"item-a2s3","seed":9804429,"candidate":"516.9071136353182","qt1":"517.9983976906965","diff":"-1.0912840553783099"},{"source_item":"item-a2s4","seed":9804535,"candidate":"480.9278432520367","qt1":"481.7190839765089","diff":"-0.7912407244721749"},{"source_item":"item-a2s4","seed":9804592,"candidate":"517.7459851671808","qt1":"518.4985543443893","diff":"-0.7525691772084429"},{"source_item":"item-a2s4","seed":9804523,"candidate":"544.5942195411305","qt1":"545.3267279351157","diff":"-0.7325083939851993"},{"source_item":"item-a2s3","seed":9804426,"candidate":"662.1716614870284","qt1":"662.8868361729326","diff":"-0.7151746859042305"}]},"paired_recomputed_by_item":{"item-a2s3":{"n":128,"mean_diff":"0.68331332936119792621875","sample_sd":"0.56421969386397693482513839471817935848337110039111","se":"0.049870446451276996168872197678414648864969127903762","worst5":[{"source_item":"item-a2s3","seed":9804429,"candidate":"516.9071136353182","qt1":"517.9983976906965","diff":"-1.0912840553783099"},{"source_item":"item-a2s3","seed":9804426,"candidate":"662.1716614870284","qt1":"662.8868361729326","diff":"-0.7151746859042305"},{"source_item":"item-a2s3","seed":9804357,"candidate":"654.6283674241516","qt1":"654.8881571983313","diff":"-0.2597897741796942"},{"source_item":"item-a2s3","seed":9804448,"candidate":"506.93973977964794","qt1":"507.17958555976924","diff":"-0.23984578012129987"},{"source_item":"item-a2s3","seed":9804416,"candidate":"590.705793914454","qt1":"590.9203644898649","diff":"-0.21457057541090307"}]},"item-a2s4":{"n":128,"mean_diff":"0.75906925936381330703125","sample_sd":"0.67344132069890057611479970514383479299525000183182","se":"0.059524365574677133477649564321374182280668146496454","worst5":[{"source_item":"item-a2s4","seed":9804535,"candidate":"480.9278432520367","qt1":"481.7190839765089","diff":"-0.7912407244721749"},{"source_item":"item-a2s4","seed":9804592,"candidate":"517.7459851671808","qt1":"518.4985543443893","diff":"-0.7525691772084429"},{"source_item":"item-a2s4","seed":9804523,"candidate":"544.5942195411305","qt1":"545.3267279351157","diff":"-0.7325083939851993"},{"source_item":"item-a2s4","seed":9804567,"candidate":"485.55428065074136","qt1":"486.13576879009344","diff":"-0.581488139352075"},{"source_item":"item-a2s4","seed":9804470,"candidate":"437.4406584735443","qt1":"437.9226427072749","diff":"-0.48198423373059995"}]}},"gas_aggregates":[{"arm":"candidate","role":"Baseline","callback":"afterInitialize","calls":256,"ok":256,"sum_ok_gas":5579776,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"max_ok_gas":21796,"mean_ok_gas":"21796"},{"arm":"candidate","role":"Baseline","callback":"afterSwap","calls":2789402,"ok":2789402,"sum_ok_gas":62936652472,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"max_ok_gas":22592,"mean_ok_gas":"22562.775989979214182824849197068045409015982637139"},{"arm":"candidate","role":"Baseline","callback":"getName","calls":256,"ok":256,"sum_ok_gas":5510656,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"max_ok_gas":21526,"mean_ok_gas":"21526"},{"arm":"candidate","role":"Submission","callback":"afterInitialize","calls":256,"ok":256,"sum_ok_gas":23597568,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"max_ok_gas":92178,"mean_ok_gas":"92178"},{"arm":"candidate","role":"Submission","callback":"afterSwap","calls":2831079,"ok":2831079,"sum_ok_gas":426947804879,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"max_ok_gas":220634,"mean_ok_gas":"150807.45004961006033388683254688406787659404771114"},{"arm":"candidate","role":"Submission","callback":"getName","calls":256,"ok":256,"sum_ok_gas":5545216,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"max_ok_gas":21661,"mean_ok_gas":"21661"},{"arm":"qt1","role":"Baseline","callback":"afterInitialize","calls":256,"ok":256,"sum_ok_gas":5579776,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"max_ok_gas":21796,"mean_ok_gas":"21796"},{"arm":"qt1","role":"Baseline","callback":"afterSwap","calls":2805938,"ok":2805938,"sum_ok_gas":63309713104,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"max_ok_gas":22592,"mean_ok_gas":"22562.762649780572485920929115326140492056488774877"},{"arm":"qt1","role":"Baseline","callback":"getName","calls":256,"ok":256,"sum_ok_gas":5510656,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"max_ok_gas":21526,"mean_ok_gas":"21526"},{"arm":"qt1","role":"Submission","callback":"afterInitialize","calls":256,"ok":256,"sum_ok_gas":23259648,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"max_ok_gas":90858,"mean_ok_gas":"90858"},{"arm":"qt1","role":"Submission","callback":"afterSwap","calls":2828131,"ok":2828131,"sum_ok_gas":389836710590,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"max_ok_gas":208857,"mean_ok_gas":"137842.52235486970016593997944225355897587487991186"},{"arm":"qt1","role":"Submission","callback":"getName","calls":256,"ok":256,"sum_ok_gas":5524224,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"max_ok_gas":21579,"mean_ok_gas":"21579"}],"raw_gas_encoding":{"columns":["role","callback","calls","ok","max_ok_gas","sum_ok_gas","oog","revert","other_halt","tx_error","bad_return"],"records":[["Baseline","afterInitialize",16,16,21796,348736,0,0,0,0,0],["Baseline","afterSwap",176049,176049,22592,3972171336,0,0,0,0,0],["Baseline","getName",16,16,21526,344416,0,0,0,0,0],["Submission","afterInitialize",16,16,92178,1474848,0,0,0,0,0],["Submission","afterSwap",178693,178693,219876,26899793679,0,0,0,0,0],["Submission","getName",16,16,21661,346576,0,0,0,0,0],["Baseline","afterSwap",177090,177090,22592,3995659260,0,0,0,0,0],["Submission","afterInitialize",16,16,90858,1453728,0,0,0,0,0],["Submission","afterSwap",178546,178546,203960,24578001609,0,0,0,0,0],["Submission","getName",16,16,21579,345264,0,0,0,0,0],["Baseline","afterSwap",173223,173223,22592,3908380392,0,0,0,0,0],["Submission","afterSwap",176251,176251,219901,26602462601,0,0,0,0,0],["Baseline","afterSwap",174283,174283,22592,3932299436,0,0,0,0,0],["Submission","afterSwap",176044,176044,208218,24272754979,0,0,0,0,0],["Baseline","afterSwap",180114,180114,22592,4063878780,0,0,0,0,0],["Submission","afterSwap",182329,182329,219642,27376813089,0,0,0,0,0],["Baseline","afterSwap",181070,181070,22592,4085443336,0,0,0,0,0],["Submission","afterSwap",182068,182068,206130,25039909725,0,0,0,0,0],["Baseline","afterSwap",166779,166779,22592,3762991392,0,0,0,0,0],["Submission","afterSwap",169885,169885,219642,25745270009,0,0,0,0,0],["Baseline","afterSwap",167749,167749,22592,3784882640,0,0,0,0,0],["Submission","afterSwap",169612,169612,208843,23455085182,0,0,0,0,0],["Baseline","afterSwap",183195,183195,22592,4133410512,0,0,0,0,0],["Submission","afterSwap",185291,185291,219876,27778180402,0,0,0,0,0],["Baseline","afterSwap",184496,184496,22592,4162757728,0,0,0,0,0],["Submission","afterSwap",185025,185025,203783,25413719727,0,0,0,0,0],["Baseline","afterSwap",177860,177860,22592,4013036020,0,0,0,0,0],["Submission","afterSwap",179901,179901,219922,27051758152,0,0,0,0,0],["Baseline","afterSwap",178826,178826,22592,4034822488,0,0,0,0,0],["Submission","afterSwap",179524,179524,208817,24707332218,0,0,0,0,0],["Baseline","afterSwap",167914,167914,22592,3788589824,0,0,0,0,0],["Submission","afterSwap",171385,171385,219551,25971264388,0,0,0,0,0],["Baseline","afterSwap",169071,169071,22592,3814693032,0,0,0,0,0],["Submission","afterSwap",171288,171288,208574,23671589039,0,0,0,0,0],["Baseline","afterSwap",175944,175944,22592,3969791604,0,0,0,0,0],["Submission","afterSwap",178077,178077,219882,26809108397,0,0,0,0,0],["Baseline","afterSwap",176894,176894,22592,3991229272,0,0,0,0,0],["Submission","afterSwap",177965,177965,204040,24514215709,0,0,0,0,0],["Baseline","afterSwap",174975,174975,22592,3947911452,0,0,0,0,0],["Submission","afterSwap",177984,177984,220598,26826460144,0,0,0,0,0],["Baseline","afterSwap",175920,175920,22592,3969231120,0,0,0,0,0],["Submission","afterSwap",177809,177809,208080,24511568521,0,0,0,0,0],["Baseline","afterSwap",175475,175475,22592,3959188180,0,0,0,0,0],["Submission","afterSwap",178360,178360,219456,26885979604,0,0,0,0,0],["Baseline","afterSwap",176354,176354,22592,3979020388,0,0,0,0,0],["Submission","afterSwap",178150,178150,208857,24545321715,0,0,0,0,0],["Baseline","afterSwap",174167,174167,22592,3929699248,0,0,0,0,0],["Submission","afterSwap",176349,176349,219689,26613733429,0,0,0,0,0],["Baseline","afterSwap",175098,175098,22592,3950699808,0,0,0,0,0],["Submission","afterSwap",176177,176177,204222,24290106959,0,0,0,0,0],["Baseline","afterSwap",167947,167947,22592,3789334700,0,0,0,0,0],["Submission","afterSwap",170839,170839,220634,25880533415,0,0,0,0,0],["Baseline","afterSwap",169016,169016,22592,3813443896,0,0,0,0,0],["Submission","afterSwap",170695,170695,208824,23591775934,0,0,0,0,0],["Baseline","afterSwap",169452,169452,22592,3823294212,0,0,0,0,0],["Submission","afterSwap",172646,172646,219724,26143017693,0,0,0,0,0],["Baseline","afterSwap",170656,170656,22592,3850462412,0,0,0,0,0],["Submission","afterSwap",172303,172303,204812,23800264688,0,0,0,0,0],["Baseline","afterSwap",176436,176436,22592,3980887872,0,0,0,0,0],["Submission","afterSwap",178648,178648,219654,26902616818,0,0,0,0,0],["Baseline","afterSwap",177455,177455,22592,4003872952,0,0,0,0,0],["Submission","afterSwap",178398,178398,199304,24574104128,0,0,0,0,0],["Baseline","afterSwap",172855,172855,22592,3900080132,0,0,0,0,0],["Submission","afterSwap",175479,175479,219642,26505648160,0,0,0,0,0],["Baseline","afterSwap",173886,173886,22592,3923345448,0,0,0,0,0],["Submission","afterSwap",175464,175464,205353,24209519711,0,0,0,0,0],["Baseline","afterSwap",177017,177017,22592,3994006816,0,0,0,0,0],["Submission","afterSwap",178962,178962,219895,26955164899,0,0,0,0,0],["Baseline","afterSwap",178074,178074,22592,4017849888,0,0,0,0,0],["Submission","afterSwap",179063,179063,205071,24661440746,0,0,0,0,0]],"description":"Each 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