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Draft candidate conditional κ = 0.001019646575559504 (
63727910972469/62500000000000000), +0.08635366% over #426.On #422, enlarge helper838 to [304,204], then inline original helpers556 and577 using #426's exact relations
556=-2*354-2*461and577=-2*402-2*478. They were exterior-gauged inputs on our word: remove their read-only gauge preparations before eliminating them, then explicitly reindex all surviving entrances. The immutable supplier inliner reconstructs all paid frame repairs. The result has R779,213 gauges and583 entrance shears.Passed before draft: exact substitution proposals at every read, protected X/Y columns of every data output, all remaining zero gauged-response columns, nested labels and retained endpoints, independent R779 helper-reference reconstruction and its scalar suffix/interface match; exact rational packing, two moment engines and47 strict outer inequalities. No separately reported gains are added.
Full local verification passed: the uninterrupted parent/new wrapper, both formal scalar orientations and all response controls, all 6,528 fresh Gaussian phase pairs, residual phases, physical banks and independent decoder, finite invoice/bridge and fresh bit composition. Code head
1aa8709935e2479183365e5cfe1b7ded0d8e8940passed. Full receipts and the initial stale-selector failure are retained inlocal-evidence/. GitHub CI remains pending.64 replicas; 5845 banks per stage; 114045 live registers. Complex lower
1020687315885864547249/1000000000000000000000000; bit lower255384852701747/250000000000000000remains above it.Run
python -B research/e8-gauged-inlining/verify.py /absolute/path/to/new/output. It freshly replays #422, new construction/reference, all local phases, physical invoice and bit; ten package manifests are checked.Broader chronological/dyadic conditional framework. No unchanged legacy gx/gxcore acceptance, Lean proof or unconditional exponent is claimed. Inherited all-size compiler, arbitrary dirty-bank, fixed-tape, restored-row, common-grid precision and analytic interfaces remain assumptions.
Prepared by Rohan Arun with substantial OpenAI Codex assistance. Credit ai-nanachi #426 for helper substitutions and immutable inliner; applecrusher #376 frame algebra; eumemic #423 enlargement constructor and #414/#416/#420/#421; Rohan #422/#418/#409; Dugongue #404/#401; chafreaky #402 and independently found838 in#424; Sussman E8 and retained bit/compiler lineage. Original licenses/notices preserved. Parent #422
abd6c8f8173497980f1f3e3da023252b2c172719; #42688d552526893cd15325948bb1487e9a4d4bf32f6.The first local attempt failed at an obsolete register563 selector in the prefix-omission negative control after helper deletion. The checker derives the changed delivery from the actual word/reference multiset; both omission controls still must reject. Full replay passes without changing candidate bytes or price.
This draft improves the stated #426 benchmark. The distinct mutable-basis Hamming construction in #425 and our #431 now have higher conditional bounds.