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Deep retiming #393

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6346314
Register-level retiming of the gen4 five-stage word: kappa 7.23636288…
Oct 11, 2026
a982c02
New result: κ = 144727257636539/(2·10¹⁷) ≈ 7.236362881826950×10⁻⁴, up…
Oct 11, 2026
6fe78cb
removed note
Oct 11, 2026
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5 changes: 5 additions & 0 deletions Makefile
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Original file line number Diff line number Diff line change
Expand Up @@ -46,6 +46,11 @@ gen4-bank-verify: selected-record-check
@work=$$(mktemp -d "$${TMPDIR:-/tmp}/integer-mult-gen4.XXXXXX"); \
python3 -B research/five-stage-gen4-banks/verify.py --output "$$work/replay"

.PHONY: deep-retiming-verify
deep-retiming-verify:
@work=$$(mktemp -d "$${TMPDIR:-/tmp}/integer-mult-deep-retiming.XXXXXX"); \
python3 -B research/five-stage-gen4-deep-retiming/verify.py --output "$$work/replay"

.PHONY: source527-record-check source527-verify
source527-record-check:
python3 -B scripts/verify_selected_result.py --record certificates/checkpoints/source527.json
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11 changes: 11 additions & 0 deletions research/deep-retiming-receipt/README.md
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@@ -0,0 +1,11 @@
# Receipt: register-level retiming package

Fresh output of `python3 -B research/five-stage-gen4-deep-retiming/verify.py` (553 s, Python 3.13,
sympy 1.14.0): status `PASS_IMMUTABLE_PARITY_FUSED_GEN4_FIVE_STAGE_BANKED_CONSTRUCTION`, all nine
mandatory stages fresh, package inputs unchanged, manifest sha256
`de1588de46d957e6a53e2b42e42686c78c6d19637a40a74d9ebd12b29fe063a5`.

κ = 144727257636539/200000000000000000 = 7.236362881826950e-04 (bit supplier binding; bit coarse
362080158564507/500000000000000000). The unmodified PR279 package was replayed in the same environment
and reproduced κ = 90446448750933/125000000000000000. The receipt is finite replay, not a formal proof of
the multiplication theorem; the PR279 conditional scope is unchanged.
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