# Frozen ComboG confirmation merge — Taylor (gtmcknight)

**Not certified as a combined confirmation:** b1s3 omits compiler settings and Baseline gas counters. Both shards report identical frozen candidate/qt1 hashes and supply 256 consecutive seed rows without duplicates or gaps. Combined statistics below are descriptive arithmetic pending compiler equality evidence.

Credit: Taylor (gtmcknight), solved policy, Gaussian filter, qm tables, spline reference and replica research. Candidate: frozen ComboG(1), GATE=1.

Sources: [item-b1s3](../../items/b1s3/result.json), [item-b1s4](../../items/b1s4/result.json). Verified input hashes, metadata, validation, ranges and command outcomes are embedded. Every score/diff token is preserved as a decimal string.

Gas links: [b1s3 supplied gas_stats](../../items/b1s3/result.json#/gas_stats_per_chunk) (Submission only; full all-role raw data not supplied); [b1s4 full reported gas_stats](../../items/b1s4/result.json#/chunks) (each chunk's arms.*.gas_stats). All supplied counters, including every chunk's Submission/afterSwap, are embedded losslessly in raw_gas_stats_supplied with explicit column names and source/chunk keys. Missing Baseline data is not zero.

No new simulations, tuning, source changes or board claims. Validation results are source reports, not new checks.

```json
{
"status":"not_certified_compiler_comparability_unverified",
"accepted_combined_confirmation":false,
"compatibility":{"sources":["item-b1s3#/hashes","item-b1s4#/hashes","item-b1s4#/validation/compiler"],"candidate_sha256":"f904a486b1dcfbd6fcf40aa48920d1bb6b79ad2ac1c99a2cbbb16d4272c2c616","qt1_sha256":"c68887cff61180e12ba2b1ceb333edf76a830f91f63b5d775a8806fb9ec08aca","candidate_hashes_identical":true,"qt1_hashes_identical":true,"compiler_settings_identical":null,"compiler_settings":{"item-b1s3":null,"item-b1s4":{"solc":"0.8.24","optimizer_runs":200,"viaIR":true,"evmVersion":"paris"}},"reason":"b1s3 omits compiler settings and runtime bytecode hashes. Equal source hashes, engine revision, validation names and runtime lengths cannot establish compiler equality. No other variant included."},
"coverage":{"source":"b1s3 attempted_ranges/range_note; b1s4 scope; all rows","inclusive_range":[9804852,9805107],"expected_n":256,"row_count":256,"unique_seeds":256,"duplicates":[],"missing":[],"unexpected":[]},
"method":{"paired":"Descriptive arithmetic only pending compiler equality. mean=sum(diff)/n; sample_sd=sqrt(sum((diff-mean)^2)/(n-1)); se=sample_sd/sqrt(n). worst5=five lowest recorded diffs. Decimal precision 40, never average shard SEs.","precision":"Rows preserve all recorded score/diff numeric tokens as strings. b1s3 records at most six decimal places; cannot reconstruct unrecorded precision. Use recorded diffs, which may differ from subtraction of rounded scores.","gas":"Sum calls, ok, sum_ok_gas and all failure counters per arm/role/callback; maximum max_ok_gas; mean=sum_ok_gas/ok (Decimal precision 28). All supplied chunks counted regardless of score availability. Baseline coverage b1s4 only, missing b1s3 is not zero.","provenance":"Rows from b1s3 /seeds, b1s4 /completed. Gas matrix from b1s3 /gas_stats_per_chunk/{chunk}/{arm} or b1s4 /chunks/{chunk}/arms/{arm}/gas_stats. b1s3 Submission role established by /gas_totals_submission. Chunk and command indexes zero-based. Ranges half-open. Null metadata means not supplied, not failure."},
"paired_descriptive_not_accepted_confirmation":{"n":256,"mean_diff":"0.62375952399740522489296875","sample_sd":"0.5837283098221101818270575859673785253283","se":"0.03648301936388188636419109912296115783302","worst5":[{"source_item":"item-b1s3","seed":9804942,"diff":"-0.833469"},{"source_item":"item-b1s4","seed":9805073,"diff":"-0.8048737453892727"},{"source_item":"item-b1s4","seed":9805034,"diff":"-0.7983041600024308"},{"source_item":"item-b1s3","seed":9804894,"diff":"-0.697008"},{"source_item":"item-b1s3","seed":9804952,"diff":"-0.574313"}]},
"paired_recomputed_by_item":{"item-b1s3":{"n":128,"mean_diff":"0.5360063671875","sample_sd":"0.5643903535793564932804607546216804836577","se":"0.04988553078152952765886761462385091340468","worst5":[{"source_item":"item-b1s3","seed":9804942,"diff":"-0.833469"},{"source_item":"item-b1s3","seed":9804894,"diff":"-0.697008"},{"source_item":"item-b1s3","seed":9804952,"diff":"-0.574313"},{"source_item":"item-b1s3","seed":9804973,"diff":"-0.567045"},{"source_item":"item-b1s3","seed":9804870,"diff":"-0.559555"}]},"item-b1s4":{"n":128,"mean_diff":"0.7115126808073104497859375","sample_sd":"0.5916937448989358903953855465972746599316","se":"0.05229883242546259138715138917897027188351","worst5":[{"source_item":"item-b1s4","seed":9805073,"diff":"-0.8048737453892727"},{"source_item":"item-b1s4","seed":9805034,"diff":"-0.7983041600024308"},{"source_item":"item-b1s4","seed":9805080,"diff":"-0.4991092253970919"},{"source_item":"item-b1s4","seed":9805044,"diff":"-0.45960730543470163"},{"source_item":"item-b1s4","seed":9805023,"diff":"-0.3572736430901955"}]}},
"gas_aggregates_available_data":[{"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":"92178","coverage":"both shards"},{"arm":"candidate","role":"Submission","callback":"afterSwap","calls":2796250,"ok":2796250,"sum_ok_gas":422566994899,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"max_ok_gas":220487,"mean":"151119.1756455967814036656236","coverage":"both shards"},{"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":"21661","coverage":"both shards"},{"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":"90858","coverage":"both shards"},{"arm":"qt1","role":"Submission","callback":"afterSwap","calls":2794269,"ok":2794269,"sum_ok_gas":385605253998,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"max_ok_gas":209294,"mean":"137998.6157374254232502310980","coverage":"both shards"},{"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":"21579","coverage":"both shards"},{"arm":"candidate","role":"Baseline","callback":"afterInitialize","calls":128,"ok":128,"sum_ok_gas":2789888,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"max_ok_gas":21796,"mean":"21796","coverage":"item-b1s4 only; b1s3 missing"},{"arm":"candidate","role":"Baseline","callback":"afterSwap","calls":1384263,"ok":1384263,"sum_ok_gas":31232722212,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"max_ok_gas":22592,"mean":"22562.70825124994311052162775","coverage":"item-b1s4 only; b1s3 missing"},{"arm":"candidate","role":"Baseline","callback":"getName","calls":128,"ok":128,"sum_ok_gas":2755328,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"max_ok_gas":21526,"mean":"21526","coverage":"item-b1s4 only; b1s3 missing"},{"arm":"qt1","role":"Baseline","callback":"afterInitialize","calls":128,"ok":128,"sum_ok_gas":2789888,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"max_ok_gas":21796,"mean":"21796","coverage":"item-b1s4 only; b1s3 missing"},{"arm":"qt1","role":"Baseline","callback":"afterSwap","calls":1392868,"ok":1392868,"sum_ok_gas":31426874132,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"max_ok_gas":22592,"mean":"22562.70811878799713971460325","coverage":"item-b1s4 only; b1s3 missing"},{"arm":"qt1","role":"Baseline","callback":"getName","calls":128,"ok":128,"sum_ok_gas":2755328,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0,"max_ok_gas":21526,"mean":"21526","coverage":"item-b1s4 only; b1s3 missing"}],
"evidence_gaps":["b1s3 compiler settings unavailable; identical compiler settings cannot be verified from these sources.","b1s3 full all-role raw gas_stats and link unavailable; only Submission counters supplied. Complete merged Baseline totals unavailable.","P/Q/F not established here; b1s4 scope explicitly says not rerun. No goal pass inferred."],
"failures_and_limits":{"blocked":{"item-b1s3":null,"item-b1s4":null},"failed_or_timeout_commands":[],"callback_failure_records":[],"afterSwap_over_245000":[],"runtime_over_24576":[],"source":"All supplied gas counters, commands and chunks; b1s3 runtime_bytes/notes/blocked; b1s4 runtime/failures/blocked.","note":"All command exits reported zero, both blocked null, all chunks complete (b1s3 exit 0; b1s4 done). No recorded timeouts. b1s3 notes patch(1) unavailable, resolved using git apply with verified hash. b1s4 failures empty. Both report candidate runtime 22058 and qt1 20605 and validation success. No observed gas violations in supplied counters. Evidence gaps prevent overall pass; failed/missing data is never zero gain.","timeout_policy":"b1s3 commands 3..10 record timeout 470. b1s4 command limits and durations preserved in command_results; no duration supplied for b1s3."},
"sources":{"item-b1s3":{"sha256":"e0ca5a966478de864a8bdeaf61139c27fb1c0c4718f5e5d62754fed60de64a69","input_path":".imd/reads/artifacts/item-b1s3","metadata":{"item":"b1s3","credit":"Policy, Gaussian filter, qm tables and replica: Taylor (gtmcknight), amm-sim 4812a6382311624e1506aca131ca35c378f930d9; ComboG offset port per D.","hashes":{"TC_A_Candidate_sol":"b87234c89e094f4955578417c1266129b0f96e6dfda68e3fb8866e00eeda71a2","frozen_ComboG_GATE1":"f904a486b1dcfbd6fcf40aa48920d1bb6b79ad2ac1c99a2cbbb16d4272c2c616","qt1":"c68887cff61180e12ba2b1ceb333edf76a830f91f63b5d775a8806fb9ec08aca","all_match":true},"runtime_bytes":{"candidate":22058,"qt1":20605,"limit":24576,"candidate_equals_22058":true},"validation":{"amm-match validate ComboG":"Strategy 'TaylorComboGQmTrim2' validated successfully!","amm-match validate qt1":"Strategy 'TaylorGaussianQMSpline' validated successfully!"},"engine":"amm-challenge 6b6921f8d463314aa7c96234e1be25a25245f704, amm_sim_rs 0.1.0.post1 wheel sha256 aedb6828...887a; K/tools/engine.py: each arm alone vs 30bps VanillaStrategy, run_batch(...,8), configs per _build_configs transcription, gas_stats_reset per arm","attempted_ranges":[[9804852,9804980]],"range_note":"half-open; inclusive 9804852..9804979, 8 sequential 16-seed chunks","missing_ranges":[],"notes":"patch(1) unavailable; diff applied with git apply, result hash verified. No failures, no blocked step. No board claim.","blocked":null},"command_results":[{"index":0,"exit":0},{"index":1,"exit":0},{"index":2,"exit":0},{"index":3,"exit":0},{"index":4,"exit":0},{"index":5,"exit":0},{"index":6,"exit":0},{"index":7,"exit":0},{"index":8,"exit":0},{"index":9,"exit":0},{"index":10,"exit":0}]},"item-b1s4":{"sha256":"cb96aab0f1c25a46b456b1b057ffb1c50cd7822236b5d3d26cecf4614e44793f","input_path":".imd/reads/artifacts/item-b1s4","metadata":{"item":"b1s4","credit":"Taylor (gtmcknight): solved policy, Gaussian filter, qm tables, spline reference and replica research. Frozen ComboG(1) delta from the named artifact.","hashes":{"tc_a":{"url":"https://raw.githubusercontent.com/identity-md-launches/goal-3170-beat-network-s-amm-entry/4eb3e985fd31e3cd17832501b95b6d2491aca73d/contracts/Candidate.sol","expected":"b87234c89e094f4955578417c1266129b0f96e6dfda68e3fb8866e00eeda71a2","actual":"b87234c89e094f4955578417c1266129b0f96e6dfda68e3fb8866e00eeda71a2","pass":true},"candidate":{"expected":"f904a486b1dcfbd6fcf40aa48920d1bb6b79ad2ac1c99a2cbbb16d4272c2c616","actual":"f904a486b1dcfbd6fcf40aa48920d1bb6b79ad2ac1c99a2cbbb16d4272c2c616","pass":true},"qt1":{"url":"https://raw.githubusercontent.com/identity-md-launches/goal-3170-beat-network-s-amm-entry/4eb3e985fd31e3cd17832501b95b6d2491aca73d/reference/qt1/Strategy.sol","expected":"c68887cff61180e12ba2b1ceb333edf76a830f91f63b5d775a8806fb9ec08aca","actual":"c68887cff61180e12ba2b1ceb333edf76a830f91f63b5d775a8806fb9ec08aca","pass":true}},"runtime":{"limit_bytes":24576,"frozen_expected_bytes":22058,"candidate":{"sha256":"f904a486b1dcfbd6fcf40aa48920d1bb6b79ad2ac1c99a2cbbb16d4272c2c616","runtime_bytes":22058,"runtime_sha256":"48c29ec5de7626f2c66f7a4cf3dd7e7a6b294473188029f197208c71ee49f0cb","creation_sha256":"2041cb5ec41d8f7c65a28b9cf82366642cd8486cdcb5bf4998779cd93a4928ec","runtime_limit_pass":true},"qt1":{"sha256":"c68887cff61180e12ba2b1ceb333edf76a830f91f63b5d775a8806fb9ec08aca","runtime_bytes":20605,"runtime_sha256":"79c8d6c305ec6dfc29770b27cfb15b6cbd57b1fb01a23309cf8c131ca5c70189","creation_sha256":"0af76fa66572167378c48100a70dcd8e64b58eb28cdd94b2e3456c95f367445f","runtime_limit_pass":true}},"validation":{"starter":{"exit":0,"stdout_final_line":"Strategy 'StarterStrategy' validated successfully!"},"candidate":{"command":["amm-match","validate","../input/Candidate.sol"],"exit":0,"stdout":"Validating strategy...\nCompiling strategy...\nStrategy 'TaylorComboGQmTrim2' validated successfully!\n","stderr":"","seconds":"23.293095050146803"},"qt1":{"command":["amm-match","validate","../input/qt1.sol"],"exit":0,"stdout":"Validating strategy...\nCompiling strategy...\nStrategy 'TaylorGaussianQMSpline' validated successfully!\n","stderr":"","seconds":"15.363054390996695"},"compiler":{"solc":"0.8.24","optimizer_runs":200,"viaIR":true,"evmVersion":"paris"}},"scope":{"policy":"frozen ComboG(1), GATE=1","seed_start_inclusive":9804980,"seed_end_inclusive":9805107,"range_notation":"[start,end_exclusive)","tuning":false,"engine_seeds_outside_assignment":false,"replica_gates_rerun":false,"note":"This item confirms only the assigned engine seeds. 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}
```