# Frozen ComboG GATE=1 confirmation merge — credit Taylor (gtmcknight)

The recorded 256 paired seeds have no gaps or duplicates. Candidate and qt1 hashes match, but **strict confirmation is incomplete**: neither input records compiler settings and b1s2 omits Baseline-role gas counters. Pooled statistics below are diagnostic, not an accepted confirmation. No new simulations, tuning or source changes were performed.

Sources: [item-b1s1](../../items/b1s1/result.json) and [item-b1s2](../../items/b1s2/result.json). Checksums, metadata, all score rows and all supplied gas counters are embedded below. Source keys and JSON pointers identify provenance; calculations use only these rows/counters.

Raw gas links: [b1s1 full supplied gas_stats](../../items/b1s1/result.json#/raw_gas_stats_per_chunk_arm), [b1s2 supplied Submission-only gas_stats](../../items/b1s2/result.json#/chunks). These are artifact-relative links with JSON-pointer fragments. No full unfiltered b1s2 gas_stats link was supplied. All available counters, including chunk Submission/afterSwap counters, are embedded in `raw_gas_chunks` using the lossless `gas_columns` encoding.

Original paired summaries are replaced by recomputations from every difference. Other source metadata and reported totals remain verbatim in `source_metadata`; b1s2's afterSwap mean gas values there are rounded. Merged means use integer sums divided by successful calls. Matching source hashes, runtime sizes and validation messages do not establish compiler settings. Missing evidence is not zero gain or a pass.

```json
{
"merge":"e6-combo-b1/01",
"credit":"Taylor (gtmcknight): solved Gaussian filter, qm tables, qm-spline, qt1 policy and replica research.",
"status":"evidence_incomplete_not_a_pass",
"sources":{"item-b1s1":{"input_path":".imd/reads/artifacts/item-b1s1","published_path":"artifacts/goal/batches/e6-combo-b1/items/b1s1/result.json","sha256":"df048ed25f3249af1eec6d7a0f4817b7bbc38354d6537f740a7a3234a05fb705"},"item-b1s2":{"input_path":".imd/reads/artifacts/item-b1s2","published_path":"artifacts/goal/batches/e6-combo-b1/items/b1s2/result.json","sha256":"bb39518129763ba73706aa90153802037186e77a4d0ba438329f61d86f453bac"}},
"identity_check":{"candidate_sha256":"f904a486b1dcfbd6fcf40aa48920d1bb6b79ad2ac1c99a2cbbb16d4272c2c616","qt1_sha256":"c68887cff61180e12ba2b1ceb333edf76a830f91f63b5d775a8806fb9ec08aca","candidate_and_qt1_hashes_identical":true,"variant":"Frozen ComboG GATE=1","sources":["item-b1s1#/hashes","item-b1s2#/hashes","item-b1s1#/scope","item-b1s2#/task"],"compiler_settings_identical":null,"compiler_settings":{"item-b1s1":null,"item-b1s2":null},"reason":"Neither input records compiler version, optimizer settings, viaIR, EVM target or full compiler settings. Strict merge acceptance withheld."},
"coverage":{"inclusive_expected_range":[9804596,9804851],"expected_n":256,"recorded_n":256,"unique_n":256,"duplicate_seeds":[],"missing_seeds":[],"out_of_range_seeds":[],"shards":[{"source_item":"item-b1s1","inclusive_range":[9804596,9804723],"n":128},{"source_item":"item-b1s2","inclusive_range":[9804724,9804851],"n":128}],"attempts":"16 recorded chunks, 8 per shard, all recorded command exits 0. No missing ranges, failed attempts, blocked errors or timeouts reported; original metadata retained.","diff_check":"Every recorded diff equals binary64 candidate minus qt1; original values retained."},
"diagnostic_paired":{"n":256,"mean_diff":0.6521452939383456,"sample_sd":0.6297826007824212,"se":0.039361412548901326,"worst5":[{"source_item":"item-b1s1","seed":9804625,"candidate":701.0203027313777,"qt1":702.4241152780779,"diff":-1.4038125467002374},{"source_item":"item-b1s2","seed":9804800,"candidate":616.9728942774536,"qt1":618.0080798583915,"diff":-1.0351855809378776},{"source_item":"item-b1s2","seed":9804803,"candidate":786.0947095233312,"qt1":786.8338756941401,"diff":-0.7391661708089714},{"source_item":"item-b1s2","seed":9804758,"candidate":539.0133834501769,"qt1":539.6991164082456,"diff":-0.6857329580686837},{"source_item":"item-b1s2","seed":9804728,"candidate":489.8933472784213,"qt1":490.51694250538105,"diff":-0.6235952269597647}]},
"statistical_method":"Descriptive pooling only, pending compiler identity evidence. Mean uses all recorded differences; sample SD uses n-1; SE=sample SD/sqrt(n), never an average of shard SEs. worst5 is the five lowest differences, not a percentile average. Python statistics over recorded binary64 values.",
"recomputed_shard_paired":{"item-b1s1":{"n":128,"mean_diff":0.6732748722496664,"sample_sd":0.6274307377568856,"se":0.05545756617409652,"worst5":[{"source_item":"item-b1s1","seed":9804625,"candidate":701.0203027313777,"qt1":702.4241152780779,"diff":-1.4038125467002374},{"source_item":"item-b1s1","seed":9804677,"candidate":505.7193421249902,"qt1":506.2039702113223,"diff":-0.4846280863321226},{"source_item":"item-b1s1","seed":9804619,"candidate":640.1789080252773,"qt1":640.5852701186633,"diff":-0.4063620933859511},{"source_item":"item-b1s1","seed":9804669,"candidate":371.5978664210959,"qt1":372.00138194598145,"diff":-0.4035155248855631},{"source_item":"item-b1s1","seed":9804659,"candidate":610.6437451747129,"qt1":610.9288550459675,"diff":-0.2851098712545763}]},"item-b1s2":{"n":128,"mean_diff":0.6310157156270249,"sample_sd":0.6338816996505948,"se":0.056027756036623744,"worst5":[{"source_item":"item-b1s2","seed":9804800,"candidate":616.9728942774536,"qt1":618.0080798583915,"diff":-1.0351855809378776},{"source_item":"item-b1s2","seed":9804803,"candidate":786.0947095233312,"qt1":786.8338756941401,"diff":-0.7391661708089714},{"source_item":"item-b1s2","seed":9804758,"candidate":539.0133834501769,"qt1":539.6991164082456,"diff":-0.6857329580686837},{"source_item":"item-b1s2","seed":9804728,"candidate":489.8933472784213,"qt1":490.51694250538105,"diff":-0.6235952269597647},{"source_item":"item-b1s2","seed":9804829,"candidate":464.73318119242833,"qt1":465.34619509313296,"diff":-0.6130139007046296}]}},
"gas_method":"Sum calls, ok, sum_ok_gas and every failure count by arm/role/callback; max of max_ok_gas; mean=sum_ok_gas/ok. b1s2 baseline ARM is qt1 Submission, not Baseline ROLE (Vanilla). Missing Baseline records are not zero. Raw supplied counters are losslessly encoded by gas_columns.",
"gas_columns":["role","callback","calls","ok","max_ok_gas","sum_ok_gas","oog","revert","other_halt","tx_error","bad_return"],
"gas_totals_available_records":[{"arm":"candidate","role":"Baseline","callback":"afterInitialize","source_items":["item-b1s1"],"chunks":8,"calls":128,"ok":128,"max_ok_gas":21796,"sum_ok_gas":2789888,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"mean_ok_gas":21796.0,"coverage":"partial: b1s1 only; b1s2 missing, not zero"},{"arm":"candidate","role":"Baseline","callback":"afterSwap","source_items":["item-b1s1"],"chunks":8,"calls":1368011,"ok":1368011,"max_ok_gas":22592,"sum_ok_gas":30866025784,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"mean_ok_gas":22562.702919786465,"coverage":"partial: b1s1 only; b1s2 missing, not zero"},{"arm":"candidate","role":"Baseline","callback":"getName","source_items":["item-b1s1"],"chunks":8,"calls":128,"ok":128,"max_ok_gas":21526,"sum_ok_gas":2755328,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"mean_ok_gas":21526.0,"coverage":"partial: b1s1 only; b1s2 missing, not zero"},{"arm":"candidate","role":"Submission","callback":"afterInitialize","source_items":["item-b1s1","item-b1s2"],"chunks":16,"calls":256,"ok":256,"max_ok_gas":92178,"sum_ok_gas":23597568,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"mean_ok_gas":92178.0,"coverage":"both shards"},{"arm":"candidate","role":"Submission","callback":"afterSwap","source_items":["item-b1s1","item-b1s2"],"chunks":16,"calls":2774544,"ok":2774544,"max_ok_gas":220772,"sum_ok_gas":419479957418,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"mean_ok_gas":151188.79261529102,"coverage":"both shards"},{"arm":"candidate","role":"Submission","callback":"getName","source_items":["item-b1s1","item-b1s2"],"chunks":16,"calls":256,"ok":256,"max_ok_gas":21661,"sum_ok_gas":5545216,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"mean_ok_gas":21661.0,"coverage":"both shards"},{"arm":"qt1","role":"Baseline","callback":"afterInitialize","source_items":["item-b1s1"],"chunks":8,"calls":128,"ok":128,"max_ok_gas":21796,"sum_ok_gas":2789888,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"mean_ok_gas":21796.0,"coverage":"partial: b1s1 only; b1s2 missing, not zero"},{"arm":"qt1","role":"Baseline","callback":"afterSwap","source_items":["item-b1s1"],"chunks":8,"calls":1376423,"ok":1376423,"max_ok_gas":22592,"sum_ok_gas":31055791816,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"mean_ok_gas":22562.68008889709,"coverage":"partial: b1s1 only; b1s2 missing, not zero"},{"arm":"qt1","role":"Baseline","callback":"getName","source_items":["item-b1s1"],"chunks":8,"calls":128,"ok":128,"max_ok_gas":21526,"sum_ok_gas":2755328,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"mean_ok_gas":21526.0,"coverage":"partial: b1s1 only; b1s2 missing, not zero"},{"arm":"qt1","role":"Submission","callback":"afterInitialize","source_items":["item-b1s1","item-b1s2"],"chunks":16,"calls":256,"ok":256,"max_ok_gas":90858,"sum_ok_gas":23259648,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"mean_ok_gas":90858.0,"coverage":"both shards"},{"arm":"qt1","role":"Submission","callback":"afterSwap","source_items":["item-b1s1","item-b1s2"],"chunks":16,"calls":2772292,"ok":2772292,"max_ok_gas":209144,"sum_ok_gas":382742423660,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"mean_ok_gas":138059.92430090337,"coverage":"both shards"},{"arm":"qt1","role":"Submission","callback":"getName","source_items":["item-b1s1","item-b1s2"],"chunks":16,"calls":256,"ok":256,"max_ok_gas":21579,"sum_ok_gas":5524224,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"mean_ok_gas":21579.0,"coverage":"both shards"}],
"gas_missing":[{"source_item":"item-b1s2","arms":["candidate","qt1"],"role":"Baseline","callbacks":["afterInitialize","afterSwap","getName"],"inclusive_range":[9804724,9804851],"full_range_totals":null,"reason":"Baseline-role records and a full unfiltered raw gas_stats URL are absent."}],
"gas_violations_in_available_records":[],
"limits_evidence":{"sources":["item-b1s1#/runtime_bytes","item-b1s2#/runtime_bytes","raw_gas_chunks"],"runtime_bytes":{"candidate":22058,"qt1":20605},"runtime_limit":24576,"observed_submission_afterSwap_peaks":{"candidate":220772,"qt1":209144},"afterSwap_limit":245000,"observed_submission_oog":0,"interpretation":"Reported runtimes and available Submission counters satisfy these limits on these seeds. Not an overall pass: compiler identity and full-role gas evidence are incomplete."},
"other_gates":{"P":"not established by these reports","Q":"not established by these engine-only reports","F":"not established by these reports"},
"source_metadata":{"item-b1s1":{"item":"b1s1","credit":"Taylor (gtmcknight): solved Gaussian filter, qm tables, fee policy, and replica research.","scope":"Frozen ComboG GATE=1 versus qt1 on inclusive seeds 9804596..9804723 only; each arm alone against 30 bps VanillaStrategy.","source_urls":{"tc_a":"https://raw.githubusercontent.com/identity-md-launches/goal-3170-beat-network-s-amm-entry/4eb3e985fd31e3cd17832501b95b6d2491aca73d/contracts/Candidate.sol","frozen_diff":"https://api.imd.fun/artifacts/9b842d35c17245af4dd2bfc0ec608263f9b7edcb2db619cffba7d36d1d853740","qt1":"https://raw.githubusercontent.com/identity-md-launches/goal-3170-beat-network-s-amm-entry/4eb3e985fd31e3cd17832501b95b6d2491aca73d/reference/qt1/Strategy.sol","engine":"https://raw.githubusercontent.com/identity-md-launches/goal-3170-beat-network-s-amm-entry/4eb3e985fd31e3cd17832501b95b6d2491aca73d/tools/engine.py","config_builder":"https://raw.githubusercontent.com/benedictbrady/amm-challenge/6b6921f8d463314aa7c96234e1be25a25245f704/amm_competition/competition/match.py"},"hashes":{"tc_a_sha256":"b87234c89e094f4955578417c1266129b0f96e6dfda68e3fb8866e00eeda71a2","candidate_frozen_sha256":"f904a486b1dcfbd6fcf40aa48920d1bb6b79ad2ac1c99a2cbbb16d4272c2c616","qt1_sha256":"c68887cff61180e12ba2b1ceb333edf76a830f91f63b5d775a8806fb9ec08aca","engine_wheel_sha256":"aedb68280aca34c110968f00148387c95885207913fb2cf19a1ab4c5cfd6887a"},"runtime_bytes":{"candidate":22058,"qt1":20605,"limit":24576},"validation":{"setup":"passed","candidate":"Strategy TaylorComboGQmTrim2 validated successfully","qt1":"Strategy TaylorGaussianQMSpline validated successfully"},"attempted_ranges":[{"start":9804596,"end":9804611,"end_exclusive":9804612,"status":"done"},{"start":9804612,"end":9804627,"end_exclusive":9804628,"status":"done"},{"start":9804628,"end":9804643,"end_exclusive":9804644,"status":"done"},{"start":9804644,"end":9804659,"end_exclusive":9804660,"status":"done"},{"start":9804660,"end":9804675,"end_exclusive":9804676,"status":"done"},{"start":9804676,"end":9804691,"end_exclusive":9804692,"status":"done"},{"start":9804692,"end":9804707,"end_exclusive":9804708,"status":"done"},{"start":9804708,"end":9804723,"end_exclusive":9804724,"status":"done"}],"missing_ranges":[],"failures":[],"blocked":null,"summed_submission_afterSwap":{"candidate":{"calls":1390873,"ok":1390873,"sum_ok_gas":210146529826,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"max_ok_gas":220772,"mean_ok_gas":151089.66082884633},"qt1":{"calls":1389532,"ok":1389532,"sum_ok_gas":191791500011,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"max_ok_gas":209144,"mean_ok_gas":138025.96846348266}},"candidate_limits":{"runtime_within_24576":true,"afterSwap_peak_within_245000":true,"zero_oog":true,"zero_reverts":true},"commands_exits":[{"command":"git clone https://github.com/benedictbrady/amm-challenge scratch/amm-challenge && git checkout 6b6921f8d463314aa7c96234e1be25a25245f704","exit":0},{"command":"sh scratch/setup.sh","exit":0,"result":"wheel checksum OK; StarterStrategy validated"},{"command":"patch -p1 -d scratch/frozen < scratch/frozen/frozen.patch","exit":0},{"command":"sha256sum scratch/frozen/Candidate.sol scratch/frozen/Strategy.sol","exit":0},{"command":". scratch/env.sh && amm-match validate scratch/frozen/Candidate.sol","exit":0},{"command":". scratch/env.sh && amm-match validate scratch/frozen/Strategy.sol","exit":0},{"command":". scratch/env.sh && timeout 470 python scratch/tools/engine.py scratch/frozen/Candidate.sol scratch/frozen/Strategy.sol 9804596 9804612 scratch/chunks/9804596-9804612.json","exit":0},{"command":". scratch/env.sh && timeout 470 python scratch/tools/engine.py scratch/frozen/Candidate.sol scratch/frozen/Strategy.sol 9804612 9804628 scratch/chunks/9804612-9804628.json","exit":0},{"command":". scratch/env.sh && timeout 470 python scratch/tools/engine.py scratch/frozen/Candidate.sol scratch/frozen/Strategy.sol 9804628 9804644 scratch/chunks/9804628-9804644.json","exit":0},{"command":". scratch/env.sh && timeout 470 python scratch/tools/engine.py scratch/frozen/Candidate.sol scratch/frozen/Strategy.sol 9804644 9804660 scratch/chunks/9804644-9804660.json","exit":0},{"command":". scratch/env.sh && timeout 470 python scratch/tools/engine.py scratch/frozen/Candidate.sol scratch/frozen/Strategy.sol 9804660 9804676 scratch/chunks/9804660-9804676.json","exit":0},{"command":". scratch/env.sh && timeout 470 python scratch/tools/engine.py scratch/frozen/Candidate.sol scratch/frozen/Strategy.sol 9804676 9804692 scratch/chunks/9804676-9804692.json","exit":0},{"command":". scratch/env.sh && timeout 470 python scratch/tools/engine.py scratch/frozen/Candidate.sol scratch/frozen/Strategy.sol 9804692 9804708 scratch/chunks/9804692-9804708.json","exit":0},{"command":". scratch/env.sh && timeout 470 python scratch/tools/engine.py scratch/frozen/Candidate.sol scratch/frozen/Strategy.sol 9804708 9804724 scratch/chunks/9804708-9804724.json","exit":0}],"board_claim":null},"item-b1s2":{"item":"b1s2","credit":"Taylor (gtmcknight): Gaussian filter, qm tables, qm-spline, qt1 policy and replica research (github.com/gtmcknight/amm-sim)","task":"Frozen ComboG(1) (GATE=1) vs qt1, engine only, seeds 9804724..9804851 inclusive; no tuning","hashes":{"TC-A Candidate.sol (K/contracts/Candidate.sol)":"b87234c89e094f4955578417c1266129b0f96e6dfda68e3fb8866e00eeda71a2","frozen ComboG(1) after diff":"f904a486b1dcfbd6fcf40aa48920d1bb6b79ad2ac1c99a2cbbb16d4272c2c616","qt1 Strategy.sol":"c68887cff61180e12ba2b1ceb333edf76a830f91f63b5d775a8806fb9ec08aca","engine.py":"306c529d0c84c88610c1e8a9a6aa34634534b73ab83312e9155ef14476e46300","check.py":"cbcfea4c793ac7b78e0ee27dd723c9e6af4d9d704a70a8038c985acffffcfed1","D artifact":"9b842d35c17245af4dd2bfc0ec608263f9b7edcb2db619cffba7d36d1d853740","all_match_expected":true},"patch":"D section \"Frozen source: unified diff against TC-A\" applied with git apply -p1 (patch(1) not installed); result hash matched","runtime_bytes":{"candidate":22058,"qt1":20605,"candidate_equals_22058":true,"limit":24576},"validation":{"candidate":"amm-match validate: Strategy 'TaylorComboGQmTrim2' validated successfully!","qt1":"amm-match validate: Strategy 'TaylorGaussianQMSpline' validated successfully!","setup":"sh scratch/setup.sh exit 0; StarterStrategy validated"},"engine":"amm-challenge 6b6921f8d463314aa7c96234e1be25a25245f704, amm_sim_rs wheel sha256 aedb6828...887a; each arm alone vs 30bps VanillaStrategy, run_batch(X,Vanilla,configs,8), gas_stats reset per arm","attempted_ranges":[[9804724,9804740],[9804740,9804756],[9804756,9804772],[9804772,9804788],[9804788,9804804],[9804804,9804820],[9804820,9804836],[9804836,9804852]],"ranges_end_exclusive":true,"missing_ranges":[],"failures":[],"blocked":null,"submission_totals":{"candidate":{"afterInitialize":{"calls":128,"ok":128,"sum_ok_gas":11798784,"max_ok_gas":92178,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"mean_ok_gas":92178.0},"afterSwap":{"calls":1383671,"ok":1383671,"sum_ok_gas":209333427592,"max_ok_gas":220200,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"mean_ok_gas":151288.4},"getName":{"calls":128,"ok":128,"sum_ok_gas":2772608,"max_ok_gas":21661,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"mean_ok_gas":21661.0}},"baseline":{"afterInitialize":{"calls":128,"ok":128,"sum_ok_gas":11629824,"max_ok_gas":90858,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"mean_ok_gas":90858.0},"afterSwap":{"calls":1382760,"ok":1382760,"sum_ok_gas":190950923649,"max_ok_gas":208841,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"mean_ok_gas":138094.0},"getName":{"calls":128,"ok":128,"sum_ok_gas":2762112,"max_ok_gas":21579,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"mean_ok_gas":21579.0}}},"max_peak_afterSwap":{"candidate":220200,"baseline":208841},"peak_limit":245000,"oog_reverts":{"candidate":{"afterInitialize":{"oog":0,"revert":0,"other_halt":0},"afterSwap":{"oog":0,"revert":0,"other_halt":0},"getName":{"oog":0,"revert":0,"other_halt":0}},"baseline":{"afterInitialize":{"oog":0,"revert":0,"other_halt":0},"afterSwap":{"oog":0,"revert":0,"other_halt":0},"getName":{"oog":0,"revert":0,"other_halt":0}}},"commands":[{"cmd":"sh scratch/setup.sh","exit":0},{"cmd":"amm-match validate (candidate, qt1)","exit":0},{"cmd":"timeout 470 python scratch/tools/engine.py Candidate.sol Strategy.sol 9804724 9804740 out","exit":0},{"cmd":"timeout 470 python scratch/tools/engine.py Candidate.sol Strategy.sol 9804740 9804756 out","exit":0},{"cmd":"timeout 470 python scratch/tools/engine.py Candidate.sol Strategy.sol 9804756 9804772 out","exit":0},{"cmd":"timeout 470 python scratch/tools/engine.py Candidate.sol Strategy.sol 9804772 9804788 out","exit":0},{"cmd":"timeout 470 python scratch/tools/engine.py Candidate.sol Strategy.sol 9804788 9804804 out","exit":0},{"cmd":"timeout 470 python scratch/tools/engine.py Candidate.sol Strategy.sol 9804804 9804820 out","exit":0},{"cmd":"timeout 470 python scratch/tools/engine.py Candidate.sol Strategy.sol 9804820 9804836 out","exit":0},{"cmd":"timeout 470 python scratch/tools/engine.py Candidate.sol Strategy.sol 9804836 9804852 out","exit":0}],"note":"Engine diagnostic only; no board claim. Sample SD/sqrt(n) SE."}},
"rows":[
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}
```