# Frozen confirmation merge — credit Taylor (gtmcknight) The records contain 256 distinct paired rows for inclusive seeds 9805108–9805363. The provisional pooled mean difference is **+0.5605887163961962**, with sample-SD-over-sqrt(n) **0.0350629110082062**. Candidate recorded peak afterSwap gas is **220260**, with zero recorded failures; runtime is **22058 bytes** in both shards. These are calculations from the sources below. **Acceptance remains unverified:** candidate and qt1 hashes match, but item-b2s1 omits compiler settings. Identical settings are required, so the combined confirmation is not certified as a pass. No missing observation is treated as zero gain. Sources and full raw gas: [item-b2s1](../../items/b2s1/result.json), `/gas_stats_per_chunk`; [item-b2s2](../../items/b2s2/result.json), `/chunks/*/arms/*/gas_stats`. Links identify original item result paths supplied by the task; verified input SHA-256 hashes are in `sources`. All raw gas is also preserved self-contained in `chunks`, with columns defined by `gas_stats_columns`. Each arm's `Submission` / `afterSwap` row contains its chunk counters. Chunk source pointers and row source item keys provide attribution. Derived totals use these records. The JSON block preserves original row numeric precision, ranges, failures, runtime, validation and available compiler evidence. This merge performed no tuning, simulation, compilation or strategy changes. ```json { "merge":"e6-combo-b2/01", "credit":"Taylor (gtmcknight): solved policy, Gaussian filter, qm tables and replica research.", "status":"provisional_aggregation_compiler_identity_unverified", "accepted_confirmation":false, "identity":{"candidate":"TaylorComboGQmTrim2 / frozen ComboG(1), GATE=1 per item-b2s2","hashes_identical":true,"compiler_settings_identical":null,"reason":"item-b2s1 records neither compiler settings nor bytecode hashes. Matching source hashes, checkout commit and runtime sizes do not establish compiler-setting equality. Only the matching candidate variant is represented."}, "sources":{"item-b2s1":{"sha256":"e134f3d468414b55775df7616c9b0a4bd39f9dfc6ada321736150d01b9de1ae1","input_path":".imd/reads/artifacts/item-b2s1","result_path":"artifacts/goal/batches/e6-combo-b2/items/b2s1/result.json","status":"complete","blocked":null,"range":{"start":9805108,"end_inclusive":9805235,"chunk_size":16},"attempted_ranges":[{"start":9805108,"end_exclusive":9805124},{"start":9805124,"end_exclusive":9805140},{"start":9805140,"end_exclusive":9805156},{"start":9805156,"end_exclusive":9805172},{"start":9805172,"end_exclusive":9805188},{"start":9805188,"end_exclusive":9805204},{"start":9805204,"end_exclusive":9805220},{"start":9805220,"end_exclusive":9805236}],"reported_missing_ranges":[],"runtime":{"candidate":22058,"qt1":20605,"limit":24576},"validation":{"candidate":{"success":true,"name":"TaylorComboGQmTrim2"},"qt1":{"success":true,"name":"TaylorGaussianQMSpline"}},"compiler":null,"hashes":{"tc_a_sha256":"b87234c89e094f4955578417c1266129b0f96e6dfda68e3fb8866e00eeda71a2","candidate_sha256":"f904a486b1dcfbd6fcf40aa48920d1bb6b79ad2ac1c99a2cbbb16d4272c2c616","qt1_sha256":"c68887cff61180e12ba2b1ceb333edf76a830f91f63b5d775a8806fb9ec08aca","frozen_diff_artifact_sha256":"9b842d35c17245af4dd2bfc0ec608263f9b7edcb2db619cffba7d36d1d853740","engine_py_sha256":"306c529d0c84c88610c1e8a9a6aa34634534b73ab83312e9155ef14476e46300","check_py_sha256":"cbcfea4c793ac7b78e0ee27dd723c9e6af4d9d704a70a8038c985acffffcfed1","checkout_commit":"6b6921f8d463314aa7c96234e1be25a25245f704","wheel_sha256":"aedb68280aca34c110968f00148387c95885207913fb2cf19a1ab4c5cfd6887a"},"command_exit_counts":{"0":14},"failed_commands":[],"timeout_commands":[],"raw_gas_pointer":"/gas_stats_per_chunk","method":null},"item-b2s2":{"sha256":"3addb06e1475c0f6de920c99c0677044ac3b3fb4ebb9541b74afc415fd718fa5","input_path":".imd/reads/artifacts/item-b2s2","result_path":"artifacts/goal/batches/e6-combo-b2/items/b2s2/result.json","status":"complete","blocked":null,"range":{"start":9805236,"end_exclusive":9805364},"attempted_ranges":[{"start":9805236,"end_exclusive":9805252,"completed_arms":["candidate","qt1"]},{"start":9805252,"end_exclusive":9805268,"completed_arms":["candidate","qt1"]},{"start":9805268,"end_exclusive":9805284,"completed_arms":["candidate","qt1"]},{"start":9805284,"end_exclusive":9805300,"completed_arms":["candidate","qt1"]},{"start":9805300,"end_exclusive":9805316,"completed_arms":["candidate","qt1"]},{"start":9805316,"end_exclusive":9805332,"completed_arms":["candidate","qt1"]},{"start":9805332,"end_exclusive":9805348,"completed_arms":["candidate","qt1"]},{"start":9805348,"end_exclusive":9805364,"completed_arms":["candidate","qt1"]}],"reported_missing_ranges":[],"runtime":{"candidate":{"bytes":22058,"limit":24576,"within_limit":true},"qt1":{"bytes":20605,"limit":24576,"within_limit":true}},"validation":{"candidate":{"exit":0,"stdout":"Validating strategy...\nCompiling strategy...\nStrategy 'TaylorComboGQmTrim2' validated successfully!\n","stderr":"","runtime_bytes":22058},"qt1":{"exit":0,"stdout":"Validating strategy...\nCompiling strategy...\nStrategy 'TaylorGaussianQMSpline' validated successfully!\n","stderr":"","runtime_bytes":20605}},"compiler":{"solc":"0.8.24","optimizer_runs":200,"viaIR":true,"evmVersion":"paris","source":"https://raw.githubusercontent.com/benedictbrady/amm-challenge/6b6921f8d463314aa7c96234e1be25a25245f704/amm_competition/evm/compiler.py"},"hashes":{"TC-A":{"sha256":"b87234c89e094f4955578417c1266129b0f96e6dfda68e3fb8866e00eeda71a2","expected":"b87234c89e094f4955578417c1266129b0f96e6dfda68e3fb8866e00eeda71a2","match":true,"source":"https://raw.githubusercontent.com/identity-md-launches/goal-3170-beat-network-s-amm-entry/4eb3e985fd31e3cd17832501b95b6d2491aca73d/contracts/Candidate.sol"},"candidate":{"sha256":"f904a486b1dcfbd6fcf40aa48920d1bb6b79ad2ac1c99a2cbbb16d4272c2c616","expected":"f904a486b1dcfbd6fcf40aa48920d1bb6b79ad2ac1c99a2cbbb16d4272c2c616","match":true,"source":"https://api.imdnotdead.fun/artifacts/9b842d35c17245af4dd2bfc0ec608263f9b7edcb2db619cffba7d36d1d853740","runtime_sha256":"48c29ec5de7626f2c66f7a4cf3dd7e7a6b294473188029f197208c71ee49f0cb","creation_sha256":"2041cb5ec41d8f7c65a28b9cf82366642cd8486cdcb5bf4998779cd93a4928ec"},"qt1":{"sha256":"c68887cff61180e12ba2b1ceb333edf76a830f91f63b5d775a8806fb9ec08aca","expected":"c68887cff61180e12ba2b1ceb333edf76a830f91f63b5d775a8806fb9ec08aca","match":true,"source":"https://raw.githubusercontent.com/identity-md-launches/goal-3170-beat-network-s-amm-entry/4eb3e985fd31e3cd17832501b95b6d2491aca73d/reference/qt1/Strategy.sol","runtime_sha256":"79c8d6c305ec6dfc29770b27cfb15b6cbd57b1fb01a23309cf8c131ca5c70189","creation_sha256":"0af76fa66572167378c48100a70dcd8e64b58eb28cdd94b2e3456c95f367445f"},"engine.py":{"sha256":"306c529d0c84c88610c1e8a9a6aa34634534b73ab83312e9155ef14476e46300"},"check.py":{"sha256":"cbcfea4c793ac7b78e0ee27dd723c9e6af4d9d704a70a8038c985acffffcfed1"},"guarded_engine.py":{"sha256":"778d0646141374857f36718eb2f9b0d5435682ebc2524c1ab3b8b19ab26c7562"},"diff_artifact":{"sha256":"9b842d35c17245af4dd2bfc0ec608263f9b7edcb2db619cffba7d36d1d853740"},"setup.sh":{"sha256":"f3abb169ae32d5b1c3d8604d693fa1c646dcbda1a527aab6cc6c8402724f392b"},"engine_wheel":{"sha256":"aedb68280aca34c110968f00148387c95885207913fb2cf19a1ab4c5cfd6887a","expected":"aedb68280aca34c110968f00148387c95885207913fb2cf19a1ab4c5cfd6887a"}},"command_exit_counts":{"0":16,"2":1},"failed_commands":[{"command":"initial setup-script write using an incorrectly relative scratch path","exit":2,"note":"Local scaffolding path corrected before setup was invoked; no setup or engine run occurred in this failed command."}],"timeout_commands":[],"raw_gas_pointer":"/chunks","method":{"compiler":{"solc":"0.8.24","optimizer_runs":200,"viaIR":true,"evmVersion":"paris","source":"https://raw.githubusercontent.com/benedictbrady/amm-challenge/6b6921f8d463314aa7c96234e1be25a25245f704/amm_competition/evm/compiler.py"},"opponent":"30 bps VanillaStrategy, each arm alone","invocation":"amm_sim_rs.run_batch(X, VanillaStrategy, configs, 8)","chunks":"Sequential 16-seed half-open ranges; candidate then qt1; no concurrent chunks or seed replay.","config_sources":["https://raw.githubusercontent.com/identity-md-launches/goal-3170-beat-network-s-amm-entry/4eb3e985fd31e3cd17832501b95b6d2491aca73d/tools/engine.py","https://raw.githubusercontent.com/benedictbrady/amm-challenge/6b6921f8d463314aa7c96234e1be25a25245f704/amm_competition/competition/match.py","https://raw.githubusercontent.com/benedictbrady/amm-challenge/6b6921f8d463314aa7c96234e1be25a25245f704/amm_competition/competition/config.py"],"gas":"gas_stats_reset before each arm; raw gas_stats read after each arm. Guard added to fetched engine.py immediately after persisting each arm: abort on candidate Submission/afterSwap max_ok_gas>245000 or any oog, revert, other_halt, tx_error, bad_return. No strategy or config changes.","se":"Sample SD of paired candidate-minus-qt1 edges / sqrt(n).","scratch":"All transient checkout, tools, state and installations under test/scratch/b2s2/scratch; not part of submitted outputs.","evidence":"Numeric results are local engine measurements, not measurements quoted from URLs. Source URLs identify exact policy and harness inputs; sources.json contains verified exact quotations.","replica_gates":"Not rerun in this bounded confirmation item; no independent P/Q/F claim."}}}, "coverage":{"expected_range_inclusive":[9805108,9805363],"expected_n":256,"recorded_n":256,"unique_n":256,"duplicate_seeds":[],"missing_seeds":[],"unexpected_seeds":[],"chunk_count":16,"failed_engine_chunks":[],"diff_binary64_mismatches":[]}, "paired_provisional":{"n":256,"mean_diff":0.560588716396196230896875,"sample_sd":0.56100657613129926504529005935333820464743766626134,"se":0.035062911008206204065330628709583637790464854141334,"worst5":[{"source_item":"item-b2s2","seed":9805261,"diff":-1.5805251304511785},{"source_item":"item-b2s1","seed":9805112,"diff":-1.40648186920248},{"source_item":"item-b2s1","seed":9805114,"diff":-0.8242833638574893},{"source_item":"item-b2s2","seed":9805296,"diff":-0.7120586593417784},{"source_item":"item-b2s1","seed":9805165,"diff":-0.5928619249523308}]}, "paired_by_item_recomputed":{"item-b2s1":{"n":128,"mean_diff":0.5565357336473728554265625,"sample_sd":0.58774261325568293711525356220542392986368760004741,"se":0.051949598428174477638490364513758756074593861420924,"worst5":[{"source_item":"item-b2s1","seed":9805112,"diff":-1.40648186920248},{"source_item":"item-b2s1","seed":9805114,"diff":-0.8242833638574893},{"source_item":"item-b2s1","seed":9805165,"diff":-0.5928619249523308},{"source_item":"item-b2s1","seed":9805121,"diff":-0.45063527119157243},{"source_item":"item-b2s1","seed":9805170,"diff":-0.4186998987421475}]},"item-b2s2":{"n":128,"mean_diff":0.5646416991450196063671875,"sample_sd":0.53521999371365607631510566939852499099229940356933,"se":0.047307210872693443587672841819161375212267605742210,"worst5":[{"source_item":"item-b2s2","seed":9805261,"diff":-1.5805251304511785},{"source_item":"item-b2s2","seed":9805296,"diff":-0.7120586593417784},{"source_item":"item-b2s2","seed":9805340,"diff":-0.55366601329996},{"source_item":"item-b2s2","seed":9805338,"diff":-0.47106564706984955},{"source_item":"item-b2s2","seed":9805329,"diff":-0.4310178633752457}]}}, "calculation":{"paired":"Recorded differences as exact decimals. n=count; mean=sum(diff)/n; sample_sd=sqrt(sum((diff-mean)^2)/(n-1)); se=sample_sd/sqrt(n). Decimal precision 50. worst5: five lowest differences, ties by seed. Shard SEs never averaged.","row_precision":"Original JSON decimals retained without rounding; not reconstructed from arm scores. Binary64 candidate-minus-qt1 agrees with every recorded diff.","gas":"Sum calls, ok, sum_ok_gas and all failure categories by arm/role/callback; max max_ok_gas; mean_ok_gas=sum_ok_gas/ok at decimal precision 30. All recorded chunks included."}, "gas_totals":[ {"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":2718821,"ok":2718821,"sum_ok_gas":61343990512,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"max_ok_gas":22592,"mean_ok_gas":22562.7176309142823304660365651}, {"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}, 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"recorded_limits":{"runtime_limit_bytes":24576,"afterSwap_peak_limit":245000,"candidate_runtime_within_limit_both_shards":true,"qt1_runtime_within_limit_both_shards":true,"recorded_candidate_gas_within_limit":true,"overall_pass":false}, "gas_stats_columns":["role","callback","calls","ok","max_ok_gas","sum_ok_gas","oog","revert","other_halt","tx_error","bad_return"], "chunks":[ 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URLs in inherited metadata identify inputs; no external source or recorded command was rerun by this merge.","item-b2s1 omits compiler settings; equality cannot be confirmed.","Both shards report complete, blocked=null and no missing ranges. No engine failure or timeout is recorded. item-b2s2 records one corrected scaffolding failure, exit 2, before setup or engine execution.","item-b2s2 reports a guard added to engine.py; its hash and description are retained. item-b2s1 used engine.py directly.","P/Q/F evidence is absent; item-b2s2 explicitly says gates were not rerun. No P/Q/F pass is claimed. Seed freshness outside these shards cannot be established.","Local consistency checks do not independently certify simulations, compiler execution or leaderboard outcomes."] } ```