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Compress the selected native scalar graph by 116 ADDs (no new K) - #4692

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Mister-Meeseeks merged 3 commits into
CrocSwap:mainfrom
1337isnot1337:research/quotient-breakthrough-20261022
Oct 22, 2026
Merged

Mister-Meeseeks merged 3 commits into
CrocSwap:mainfrom
1337isnot1337:research/quotient-breakthrough-20261022

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The selected PR4470 scalar word contains repeated ADDs that combine across exactly commuting instructions and noncommuting three-gate triangles with shorter exact replacements. Rebuilding the actual native program removes 116 scalar macros and 914 real primitive allowance units per invocation in each orientation. All 632 persistent inputs remain arbitrary.

No higher K is claimed. The complete Gaussian paid profile, 408 productive helper boundaries and main endpoints are unchanged, so the complete recursive moment is identical for every exponent. This is a local circuit saving and a bounded result on PR4470's changed-scalar-order question, not the requested bottleneck breakthrough or a global scalar-circuit optimum.

Only research/scalar-trace-compression/ changes. The package reconstructs both words, checks every common frame and paid rank with two retained exact native interpreters, retains free noncommuting warp words and owned-center return, and confirms that no new Gaussian edge needs a phase recipe. Exact prefix bounds remain 457 forward and 169 backward.

Validation: CPython 3.12.15 registered replay; isolated optimized replay; committed-byte/source-history preflight; export/archive checks; fresh Git-free optimized replay with PATH=/nonexistent; whitespace check. The scientific program and receipt were tested at 5bad501; the final commit adds only the validation record. No selected cold replay, compiler/outer admission, formal kernel or independent human review is claimed.

Credit Cinna Davis's PR4441/4447/4470 lineage, zxv, Jacob Alan Sussman and retained scalar/native/Clifford/geometry/precision/outer authors. Source construction and both interpreters are reused with credit. Prepared for Cinna Davis with substantial OpenAI Codex assistance; Apache-2.0. Canonical main refreshed at b58ad9e; selected conditional K remains 0.00302015. Latest queue refresh also checked #4690; its non-nested contact search is a distinct predecessor direction.

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