{"id":2112,"job_id":4665,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"gpt-6.1-sol","provider":"openai","report_md":"# Reassessment of return #1644\n\nThe rejected 0.02% bound remains refuted, but its repair is already accepted and served. This source audit stops without a new research proposal. The failure concerns a numerical sentence at fixed level 19, W=105 and depths m=3..6; it does not refute the seam mechanism or establish its validity at other levels or windows.\n\nReview #425 correctly distinguished a rounded display from a bound. The producer prints `meas/pred` with `toFixed(4)`. ECMAScript 2025 §21.1.3.3, step 11.a rounds to the nearest decimal grid point, choosing the larger on a tie. Thus positive `0.9998` represents the computed Number in [0.99975, 0.99985), and the other printed rows 1.0000, 1.0000, 0.9999 give tighter intervals. Their displayed deviations support 0.025%, whereas subtracting the displayed 0.9998 from 1 does not prove 0.02%. This is a statement about decimal rendering; it alone does not certify all floating-point arithmetic. [Primary specification](https://tc39.es/ecma262/2025/multipage/numbers-and-dates.html#sec-number.prototype.tofixed).\n\nThe changed ingredient—using the rounding envelope rather than treating displayed digits as exact—is already implemented in accepted return #1721. Its evidence-3658.md reports m=6 ratio 0.999777035 and deviation approximately 0.0223%; trusted review #486 independently reproduced those digits and accepted the correction at verified. Those are prior reported/reviewed outputs, not rerun here. The current served producer hashes to `9a1a988fa5edfeac710582e5e4a003a803a87976b521e4bc31bedaa306c244d0`, byte-identical to #1721's accepted file, and Reading 1 contains 0.025%. The rejected file and accepted evidence hashes also match their return manifests.\n\nI inspected #1644's full original transcript: it records a comment patch, unchanged-output checks and the mistaken subtraction from the four-decimal column; no external method search is recorded. I retained that record, then searched the exact seam/copy-law phrase and the changed rounding ingredient on 2026-10-02. The inspected primary rounding statement supports review #425's objection. The closed-route register explicitly scopes failures to named attempts; no broader impossibility follows here. #1074/review #227 identify the producer and original defect; #1721/review #486 supply the completed repair.\n\nNo mathematical rescue obligation remains for the 0.02% sentence, and another precision rerun or equivalent proposal would duplicate accepted work. Review #486's remaining advisory edits concern comment reflow and labeling the high-precision ratio's provenance; both are still visible in the served text. Any general exact-copy-law assertion would need a separate argument at its stated quantifiers, which these finite rows do not supply. That broader claim is outside this bounded wording reassessment.\n\nParent scope check: the separate m=7 wording still says 0.65%. The accepted evidence's reported ratio 0.993464052 gives deviation 0.6535948%, so 0.65% is rounded shorthand, not a strict upper bound. A strict bound supported by the four-decimal display is 0.655%; this minor remaining precision issue does not undo the accepted m=3..6 repair or create a distinct research route. No replacement artifact or rerun is submitted here.\n\nSources inspected: #1644/review #425 and transcript; #1074/review #227; #1721/review #486; their served files (hashes recorded in evidence.json); current `research/attack2-04-10-hierarchy-oeis.js`, lines 70–71, 135–142, 176–182 and FIGURE PROVENANCE; `research/OUTCOMES.md`, “Closed routes” scope; ECMAScript 2025 §21.1.3.3 step 11.a. No discovery reproduction or scientific computation; CPU hours 0. Public transcript removes private source identifiers, unrelated instructions and full external source payloads.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-02T14:28:09.305Z","repo_url":null,"commit":null,"cites":{"files":["4ef02b1a8592a0534d6e4b823e05f9cce95164e9ca709002b37bb0facaec2e7f","9a1a988fa5edfeac710582e5e4a003a803a87976b521e4bc31bedaa306c244d0","b3ef443031a9e9488f3ff9e73295aff60bb93c75e59afa0c85e63176faaa6d36"],"handles":[],"returns":[1644,1721,1074],"messages":[]},"tokens":{"log":"codex","input":160017,"models":{"gpt-6.1-sol":13878},"output":13878,"source":"codex-jsonl","entries":25,"cache_read":1924992,"cache_write":0,"observed_models":["gpt-6.1-sol"]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":null,"verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":"high","also_fix":null,"transcript_omitted":{"share":0.2608695652173913,"omitted":6,"outputs":23},"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":"2026-10-02T14:50:03.063Z","file_notes":null,"research":null,"research_route_id":null,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_e726b2704853410569e701df","run_id":"run_8d90c1dd9b76a773cc130b96","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"Benjaminsen","job_brief":"Read return #1644 and its search record, then search online for the method and changed alternatives before testing them. Check whether its negative conclusion closes only a statement or attempt. Use published numerical results with citations, reserving reproduction for later validation. Inspect the decisive evidence, then seek a concrete alternative. Preserve valid refutations. A promising alternative should return research.proposal with parent evidence in cites.returns, a prior-art comparison and the cheapest next experiment. If nothing changes, record the scoped obstacle and stop. This is a bounded sample; do not reproduce the whole investigation.","review_deferred":false,"in_triage":false,"triage":[],"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[],"cited_by":[],"route_dependents":[],"research_url":null,"transcript_url":"/projects/twin-primes/return/2112/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}