From abd7384d9a5e35048723512ae70d970909ffd522 Mon Sep 17 00:00:00 2001 From: Marius-Paul Dumitrean Date: Tue, 13 Oct 2026 19:02:32 -0400 Subject: [PATCH 1/3] Research: helper-donor kernel census on the #1297/#1305/#1324 words (no new kappa) Exhaustive census of the #1274/#1297 two-shock helper-donor kernel family (both restoration rules) and of exact early-read re-timings over all 306 early-read helper pivots of the local words shared by #1297, #1305 and #1324, priced with the #1186 exact frame harness: no gain in 61 + 292 relation candidates and 803 re-timings per word. A positive control reproduces #1297's 5+5 hooks for pivots 555/567 at the realized -11707. #1305's idle selection equals the exact optimum of its admitted donor-star class in all 3,687 groups (superseded by #1324's larger swap class). verify.py (standard library) replays the censuses exactly, binds every priced record to a census match, recounts the evidence and rejects four failure controls; regenerate.py reproduces all 16 evidence files byte-for-byte with the toolkit. --- research/frontier1305-kernel-census/NOTICE.md | 15 ++ research/frontier1305-kernel-census/README.md | 85 +++++++ .../frontier1305-kernel-census/RESULT.json | 240 ++++++++++++++++++ .../frontier1305-kernel-census/SOURCES.json | 18 ++ research/frontier1305-kernel-census/TASK.json | 60 +++++ .../frontier1305-kernel-census/VERIFY.json | 18 ++ research/frontier1305-kernel-census/census.py | 105 ++++++++ .../frontier1305-kernel-census/deletion.py | 45 ++++ .../evidence/CENSUS-base-first.json | 1 + .../evidence/CENSUS-base-tail.json | 1 + .../evidence/CENSUS-control-tail.json | 1 + .../evidence/CENSUS-extra-first.json | 1 + .../evidence/CENSUS-extra-tail.json | 1 + .../evidence/DELETION-base.json | 1 + .../evidence/DELETION-control.json | 1 + .../evidence/DELETION-extra.json | 1 + .../evidence/IDLE-OPTIMUM-1305.json | 100 ++++++++ .../evidence/PRICES-base-first.json | 1 + .../evidence/PRICES-base-tail.json | 1 + .../evidence/PRICES-control-tail.json | 1 + .../evidence/PRICES-extra-first.json | 1 + .../evidence/PRICES-extra-tail.json | 1 + .../evidence/RETIME-base.json | 1 + .../evidence/RETIME-extra.json | 1 + .../idle_optimum.py | 79 ++++++ .../inputs/BASE-WORD.json.gz | Bin 0 -> 57371 bytes .../inputs/CONTROL-WORD.json.gz | Bin 0 -> 57352 bytes .../inputs/EXTRA-WORD.json.gz | Bin 0 -> 57374 bytes .../inputs/PINS.json | 30 +++ research/frontier1305-kernel-census/price.py | 28 ++ .../frontier1305-kernel-census/regenerate.py | 43 ++++ research/frontier1305-kernel-census/retime.py | 49 ++++ research/frontier1305-kernel-census/verify.py | 110 ++++++++ 33 files changed, 1040 insertions(+) create mode 100644 research/frontier1305-kernel-census/NOTICE.md create mode 100644 research/frontier1305-kernel-census/README.md create mode 100644 research/frontier1305-kernel-census/RESULT.json create mode 100644 research/frontier1305-kernel-census/SOURCES.json create mode 100644 research/frontier1305-kernel-census/TASK.json create mode 100644 research/frontier1305-kernel-census/VERIFY.json create mode 100644 research/frontier1305-kernel-census/census.py create mode 100644 research/frontier1305-kernel-census/deletion.py create mode 100644 research/frontier1305-kernel-census/evidence/CENSUS-base-first.json create mode 100644 research/frontier1305-kernel-census/evidence/CENSUS-base-tail.json create mode 100644 research/frontier1305-kernel-census/evidence/CENSUS-control-tail.json create mode 100644 research/frontier1305-kernel-census/evidence/CENSUS-extra-first.json create mode 100644 research/frontier1305-kernel-census/evidence/CENSUS-extra-tail.json create mode 100644 research/frontier1305-kernel-census/evidence/DELETION-base.json create mode 100644 research/frontier1305-kernel-census/evidence/DELETION-control.json create mode 100644 research/frontier1305-kernel-census/evidence/DELETION-extra.json create mode 100644 research/frontier1305-kernel-census/evidence/IDLE-OPTIMUM-1305.json create mode 100644 research/frontier1305-kernel-census/evidence/PRICES-base-first.json create mode 100644 research/frontier1305-kernel-census/evidence/PRICES-base-tail.json create mode 100644 research/frontier1305-kernel-census/evidence/PRICES-control-tail.json create mode 100644 research/frontier1305-kernel-census/evidence/PRICES-extra-first.json create mode 100644 research/frontier1305-kernel-census/evidence/PRICES-extra-tail.json create mode 100644 research/frontier1305-kernel-census/evidence/RETIME-base.json create mode 100644 research/frontier1305-kernel-census/evidence/RETIME-extra.json create mode 100644 research/frontier1305-kernel-census/idle_optimum.py create mode 100644 research/frontier1305-kernel-census/inputs/BASE-WORD.json.gz create mode 100644 research/frontier1305-kernel-census/inputs/CONTROL-WORD.json.gz create mode 100644 research/frontier1305-kernel-census/inputs/EXTRA-WORD.json.gz create mode 100644 research/frontier1305-kernel-census/inputs/PINS.json create mode 100644 research/frontier1305-kernel-census/price.py create mode 100644 research/frontier1305-kernel-census/regenerate.py create mode 100644 research/frontier1305-kernel-census/retime.py create mode 100644 research/frontier1305-kernel-census/verify.py diff --git a/research/frontier1305-kernel-census/NOTICE.md b/research/frontier1305-kernel-census/NOTICE.md new file mode 100644 index 0000000000..952e34a73f --- /dev/null +++ b/research/frontier1305-kernel-census/NOTICE.md @@ -0,0 +1,15 @@ +# Notice + +`inputs/BASE-WORD.json.gz`, `inputs/EXTRA-WORD.json.gz` and `inputs/CONTROL-WORD.json.gz` are unmodified copies of +files from PR #1297 (rohanarun, head 4abf710a7f0d2a46f522f3f13c15769d003f9495, research/global-mixed-four-cold-kernels/), +Apache-2.0, with that package's retained ancestry (#1286, #1274 Jeremy Kothe, #1218, #1193 Jeremy Diviney, #1148 Thomas +DiFiore, #1196 chafreaky, #1195, PR564/571/589/645 lineage). The base and extra words are the same Git blobs in PR #1305 +(jeremykothe2, head a96a5d959672752026292ba5024664b436879fe7). Exact pins: inputs/PINS.json. + +`census.py` is an independent re-implementation of the relation rule of #1297's `search_relations.py`, with its edit +format, extended to pivots never written in B and to a before-first-write restoration. `idle_optimum.py` re-implements +#1305's `idle_overlay.py` group enumeration with exact axis selection; its admissibility class is #1305's +`verify_idle_overlay.py` (adapted there from Gonzalo-Mier's #1252). `price.py`, `deletion.py` and `retime.py` call the +pricing harness of PR #1186 (research/exact-frame-toolkit), which is not vendored here. + +New files: Marius-Paul Dumitrean, Apache-2.0, prepared with substantial AI assistance (Anthropic Claude, via Claude Code). diff --git a/research/frontier1305-kernel-census/README.md b/research/frontier1305-kernel-census/README.md new file mode 100644 index 0000000000..a8cfdd9ebe --- /dev/null +++ b/research/frontier1305-kernel-census/README.md @@ -0,0 +1,85 @@ +# Helper-donor kernel census on the #1297/#1305/#1324 words (no new κ) + +**Scoped negative result.** The highest open claims share two local words: #1324 (κ = 0.001677380107853623) and #1305 (κ = 0.001677162029073474). Both use #1297's words byte-identically, with the same owners and dispatch. On these words, neither the #1274/#1297 two-shock helper-donor family nor exact re-timing of early reads improves the exactly optimal frames. The search covers **all 306 helper pivots read before their first B write**: #1297 searched four. #1305's idle overlay is also **exactly optimal** within the donor-star class its own verifier admits. #1324 then gained by enlarging that class to simultaneous axis swaps. No construction is proposed and no selected-record change is suggested. + +Coordination: [discussion #1314](https://github.com/CrocSwap/integer-mult-bounds/discussions/1314) (claim and results). + +## Starting point (validated) + +- **#1305 head `a96a5d95`** (jeremykothe2): its `verify.py` was run locally from a fresh checkout. It covers fresh native replays of both words, local controls, literal owner construction and strict global admission with the idle overlay. Result: `PASS_GLOBAL_MIXED_X54_IDLE_EXCHANGES_NATIVE_AND_STRICT_ADMISSION 0.001677162029073474` (127 s, macOS/Python 3.14, no Boost). +- **#1324 head `43c19465`** (jeremykothe2, posted 22:40Z while this census ran): its `verify.py` was also run locally from a fresh checkout, with fresh native replays and strict admission. Result: `PASS_GLOBAL_MIXED_X54_IDLE_EXCHANGES_NATIVE_AND_STRICT_ADMISSION 0.001677380107853623` (156 s). The #1186 pricer reproduces this κ exactly from #1324's profile: H39=1530, H42=244, H45=1477, H48=1568, H51=6555 replace #1305's idle part. +- **Independent pricing:** the #1186 `kappa.kappa(H, 37)` pricer reproduces 0.001677162029073474 from #1305's profile, and 0.001676854978651125 (#1297) without the overlay. +- **Words:** `inputs/BASE-WORD.json.gz` (125 calls) and `inputs/EXTRA-WORD.json.gz` (208 calls) are #1297's `gauge44-word.json.gz` / `extra-word.json.gz`, which are the same blobs in #1305. `inputs/CONTROL-WORD.json.gz` is #1297's input base word, before pivots 555/567 were given kernels. Pins are in [inputs/PINS.json](inputs/PINS.json). + +## Searched families and results + +Pricing uses the #1186 exact frame harness (PR #1186): +- an exact program-map screen; +- recomputed cone caps, tail-mutable optimal frames and cut equality; +- per-rank weights at b = 0.001679979627113687, which is #1305's certified complex lower endpoint. + +Repricing the 61 + 292 + 803 base-word candidates at #1324's endpoint, 0.001680198439292940, gives identical verdicts and profiles. `ok` means certified optimal (integer duality gap 0). A screen rejection is exact: a dyadic map that differs modulo an odd prime differs over Q. `infeasible` means there is no legal frame assignment in the model. Both words give identical tallies. + +| Family (per word) | Pivots with matches | Candidates | Exactly neutral | Frame-infeasible | Inexact | Gains | +|---|---:|---:|---:|---:|---:|---:| +| #1297 two-shock relation, restore at end of early cleanup (`--restore tail`, the #1297 rule) | 25 | 61 | 32 | 8 | 21 | **0** | +| Same relation, helper restored just before the pivot's first write (`--restore first`, exact by construction) | 43 | 292 | 52 | 240 | 0 | **0** | +| Exact re-timing of early reads within the target's suffix segment (single moves to three slots plus the joint move per pivot; the 152 pivots with a positive deletion price) | — | 803 | 635 | 168 | 0 | **0** | + +**Positive control.** On the control word, `census.py` reproduces #1297's five hooks for each of pivots 555 and 567, including its committed donors 620 and 628 with partners 383 and 399. Every hook is priced at −11,707 units, which is H1 −3, H3 +1: the realized #1297 kernel, worth 2.616e-7 κ over 333 calls. + +**Deletion screen, a heuristic and not a bound.** `deletion.py` prices the word with every early read of one pivot deleted and no compensation. 152 pivots have a positive price. The largest are: + +| Pivots | Price (units) | Notes | +|---|---:|---| +| 439, 444 | −67,944 | the X=439/444 slot sites of #1195's fusions | +| 438, 440 | −62,316 | | +| 230, 238, 226, 228, 231, 232, 236, 434, 436, 446 | −51,648 each | read early by two helpers and one output | +| 12 further pivots | −44,075 each | | + +Under exact pricing, a −51,648 profile change (H1 −12, H2 +4, H3 −4, H4 +4 per call) would be worth +1.16e-6 κ. + +This is **not** an upper bound on kernels. On the control word the uncompensated deletion of 555 or 567 is frame-infeasible, yet the exact kernels are feasible and gain. Deletion changes the map-derived constraints that compensation restores. Use the screen only to choose where richer compensations are worth attempting. + +**Idle overlay of #1305.** `idle_optimum.py` reruns #1305's group enumeration over 3,687 (replica, port) groups and 11,374 eligible children. Each group has at most four completely idle rank-48 non-owner children. Unlike #1305's builder, it picks axis triples by exact backtracking rather than greedily. The optimum equals #1305's selection in every group: 3,251 donors and 5,025 receivers. No size-4 group admits one donor serving three receivers, and 963 groups admit no exchange. A further idle gain therefore needed a larger class, not a better selection. #1324 supplies one: simultaneous axis reassignments inside each group, with its own operator check. Its 4-child groups reach (51,51,51,39), so this part is superseded as a frontier statement and remains a closure statement for #1305's class. + +## What is and is not established + +- **Established:** finite exhaustive results for the families above, on these two fixed words, in #1186's exact frame model. Census replays are exact rational arithmetic, standard library only. +- **Not established:** + - anything about other compensation families: three or more shocks, window donors on helper readers, or cleanup-side corrections; + - other words, other owner maps or hosting changes; + - any impossibility theorem. +- **Not run, since nothing is admitted:** native replay and strict admission of candidates. +- The idle statement holds only inside `verify_idle_overlay.py`'s admitted class. + +## Reproduce + +Standard-library check, about 30 s. It replays every census exactly, binds every priced record to a census match, recounts all evidence against [RESULT.json](RESULT.json), runs the positive control, and checks that four failure controls are rejected: + +```sh +python3 -B research/frontier1305-kernel-census/verify.py +python3 scripts/research_package.py --package research/frontier1305-kernel-census +``` + +To regenerate all 16 evidence files and compare them byte for byte you need PR #1186's toolkit; this takes about 4 minutes with 14 workers: + +```sh +python3 -B research/frontier1305-kernel-census/regenerate.py \ + --toolkit /research/exact-frame-toolkit --out /absolute/new/dir --workers 14 \ + [--idle-run <#1305 verify work dir> --idle-owners <#1305 package>/OWNERS.json.gz] +``` + +## Open next questions + +- **Do three-shock or window-donor relations exist for the high-screen pivots** (438/440 and the ten −51,648 pivots)? + - *Why it matters:* their screens are four to five times a realized kernel. The two-shock family is now exhausted on these words. + - *First step:* extend `census.py`'s dictionary from output-read donor pairs to windows `x += c·q … x −= c·q` on any register x, closing before the pivot's first write. Solve d as a sparse dyadic combination of at most three terms, then price with `price.py`. + - *Blocker:* each pivot has roughly 2,500 distinct suffix vectors, so the search needs support-guided enumeration rather than all triples. +#1324 has since answered the idle question that was here: a larger simultaneous-swap class does admit (51,51,51,39) groups. + +## Credit + +The words, relation rule and edit format are from rohanarun's #1297 (`search_relations.py`), built on Jeremy Kothe's #1274 helper-donor kernel mechanism. Jeremy Kothe's #1305 and #1324 contribute the idle overlay compositions and strict packages, after Gonzalo-Mier's #1252 idle exchanges. The lineage also includes #1218/#1193/#1148/#1195. Prior saturation sweeps on the #1218 words are Wronskode's #1288, and the idle ceiling on #1094 is PatatePatatePatate's #1276. The pricing harness is #1186. See [NOTICE.md](NOTICE.md). + +Prepared by Marius-Paul Dumitrean with substantial AI assistance (Anthropic Claude, via Claude Code). Apache-2.0. diff --git a/research/frontier1305-kernel-census/RESULT.json b/research/frontier1305-kernel-census/RESULT.json new file mode 100644 index 0000000000..0a85c9cea8 --- /dev/null +++ b/research/frontier1305-kernel-census/RESULT.json @@ -0,0 +1,240 @@ +{ + "status": "NO_GAIN_IN_SEARCHED_FAMILIES", + "kappa_claim": null, + "frontier": { + "highest_open_claim": "PR #1324 kappa 0.001677380107853623 (head 43c19465), same #1297 words/owners/dispatch blobs; validated locally (verify.py PASS, fresh native replays, 156 s)", + "previous": "PR #1305 kappa 0.001677162029073474 (head a96a5d95), validated locally (127 s)", + "words": "PR #1297 head 4abf710a", + "selected": "PR #1094 kappa 0.001672660197076918 (main bce54fb3)" + }, + "cost_weights_b": "0.001679979627113687 (certified complex lower endpoint of #1305 profile)", + "kappa_scale": { + "one_1274_type_kernel_H1m3_H3p1_on_333_calls": "2.616e-07", + "cost_units_per_kappa_note": "about 2.24e-11 kappa per per-call cost unit at these weights" + }, + "tallies": { + "census": { + "base-tail": { + "pivots": 306, + "with_matches": 25, + "matches": 61 + }, + "base-first": { + "pivots": 306, + "with_matches": 43, + "matches": 292 + }, + "extra-tail": { + "pivots": 306, + "with_matches": 25, + "matches": 61 + }, + "extra-first": { + "pivots": 306, + "with_matches": 43, + "matches": 292 + } + }, + "prices": { + "base-tail": { + "inexact:None": 21, + "infeasible:None": 8, + "ok:0": 32 + }, + "base-first": { + "infeasible:None": 240, + "ok:0": 52 + }, + "extra-tail": { + "inexact:None": 21, + "infeasible:None": 8, + "ok:0": 32 + }, + "extra-first": { + "infeasible:None": 240, + "ok:0": 52 + } + }, + "retime": { + "base": { + "infeasible:None": 168, + "ok:0": 635 + }, + "extra": { + "infeasible:None": 168, + "ok:0": 635 + } + }, + "deletion": { + "base": { + "statuses": { + "infeasible": 22, + "ok": 272, + "uncertified": 12 + }, + "negative": 152 + }, + "extra": { + "statuses": { + "infeasible": 22, + "ok": 272, + "uncertified": 12 + }, + "negative": 152 + } + }, + "control": { + "matches": 10, + "delta": -11707, + "deletion": [ + "infeasible", + "infeasible" + ] + }, + "idle": { + "eligible": 11374, + "groups": 3687, + "group_sizes": { + "1": 632, + "2": 480, + "3": 518, + "4": 2057 + }, + "improvable_groups": 0, + "donors": 3251, + "receivers": 5025 + } + }, + "deletion_screen_top": [ + { + "pivot": 439, + "early_read_targets": [ + 584, + 126, + 10, + 186 + ], + "price": -67944 + }, + { + "pivot": 444, + "early_read_targets": [ + 590, + 150, + 34, + 210 + ], + "price": -67944 + }, + { + "pivot": 438, + "early_read_targets": [ + 586, + 118, + 178 + ], + "price": -62316 + }, + { + "pivot": 440, + "early_read_targets": [ + 588, + 158, + 218 + ], + "price": -62316 + }, + { + "pivot": 226, + "early_read_targets": [ + 449, + 473, + 145 + ], + "price": -51648 + }, + { + "pivot": 228, + "early_read_targets": [ + 451, + 497, + 217 + ], + "price": -51648 + }, + { + "pivot": 230, + "early_read_targets": [ + 450, + 496, + 221 + ], + "price": -51648 + }, + { + "pivot": 231, + "early_read_targets": [ + 448, + 472, + 149 + ], + "price": -51648 + }, + { + "pivot": 232, + "early_read_targets": [ + 452, + 520, + 157 + ], + "price": -51648 + }, + { + "pivot": 236, + "early_read_targets": [ + 454, + 544, + 213 + ], + "price": -51648 + }, + { + "pivot": 238, + "early_read_targets": [ + 455, + 545, + 209 + ], + "price": -51648 + }, + { + "pivot": 434, + "early_read_targets": [ + 585, + 287, + 187 + ], + "price": -51648 + }, + { + "pivot": 436, + "early_read_targets": [ + 587, + 319, + 115 + ], + "price": -51648 + }, + { + "pivot": 446, + "early_read_targets": [ + 591, + 303, + 211 + ], + "price": -51648 + } + ], + "scope": "Finite searched families on the two fixed #1297/#1305 local words: #1297 two-shock helper-donor relations (end-of-early-cleanup and before-first-write restorations) over all 306 early-read helper pivots, and exact single/joint re-timings of the early reads of the 152 pivots with a positive deletion price. Exact frame model of PR #1186 (cone caps, tail-mutable frames, cut equality). Uncompensated deletion prices are a screen, not a bound. Idle part: #1305 selection versus the exact optimum of the donor-star class admitted by its verify_idle_overlay.py. Not an impossibility theorem for other kernel families, other words or other hosting.", + "robustness": "Verdicts and profiles of all 61 + 292 + 803 base-word candidates are identical at #1324 endpoint weights b = 0.001680198439292940." +} diff --git a/research/frontier1305-kernel-census/SOURCES.json b/research/frontier1305-kernel-census/SOURCES.json new file mode 100644 index 0000000000..43693ebc24 --- /dev/null +++ b/research/frontier1305-kernel-census/SOURCES.json @@ -0,0 +1,18 @@ +{ + "schema_version": 1, + "base_commit": "bce54fb3f895cbe5cd4c0eb477c3afeed100190f", + "files": [ + { + "path": "certificates/selected-result.json", + "usage": "provenance", + "git_blob": "ae6a99f28aa468649eb66a361e764d769363bf11", + "sha256": "10b9e340fd8e354a37a0c4813c90e5de1dd42044b5f6aca4a3fc5a42b685fa32" + }, + { + "path": "docs/research/agent-task-catalog.json", + "usage": "provenance", + "git_blob": "c05fafaa25ba95b2d5af86b1800427198e3d20eb", + "sha256": "89b5928bc92c81e2647b6d702a7ad85a6795b8f44e2eb267b2ff3145d8f2b2ce" + } + ] +} diff --git a/research/frontier1305-kernel-census/TASK.json b/research/frontier1305-kernel-census/TASK.json new file mode 100644 index 0000000000..b9464e38e5 --- /dev/null +++ b/research/frontier1305-kernel-census/TASK.json @@ -0,0 +1,60 @@ +{ + "schema_version": 1, + "task_id": "selected-packing", + "priority_revision": 2, + "base_commit": "bce54fb3f895cbe5cd4c0eb477c3afeed100190f", + "original_card": { + "id": "selected-packing", + "question": "Is there a genuinely unsearched, explicitly bounded improvement to the selected packing?", + "starting_points": [ + "certificates/selected-result.json", + "research/heterogeneous-owner-assembly/README.md" + ], + "methods": [ + "Search a named unclaimed canonical candidate domain with a reproducible partition.", + "Prove a stronger scoped relaxation or exact optimum for one named residual subproblem." + ], + "acceptance_gate": "Check live PR overlap first, price both suppliers and distinguish a search best from an optimum.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Locate the selected packing source in the review and check live PRs for the same residual problem.", + "scope": "Positive control / source-bound orientation only; this is not a new construction or full cold replay." + }, + "first_experiment": "Define an unclaimed canonical domain and a favorable bound before starting a new search.", + "bottleneck_link": "An actual paid-profile gain can improve the frontier up to the other supplier cap.", + "allowed_variations": [ + "One bounded residual packing instance or exact relaxation." + ], + "scope_change_triggers": [ + "Rerunning an existing search with only a different seed as a separate mathematical contribution." + ], + "overlap_terms": [ + "T16", + "owner exchange", + "packing" + ] + }, + "scope_status": "changed", + "actual_scope": "On the two fixed local words of the highest open claims (#1324 and #1305, both on #1297's words, owners and dispatch), do the #1274/#1297 two-shock helper-donor kernels (both restoration rules) or exact re-timings of early reads improve the exactly optimal frames for any of the 306 helper pivots read before their first write; and is #1305's idle selection optimal within its admitted donor-star class?", + "scope_change_reason": "The card asks about the selected packing; the selected #1094 is superseded by open claims on the same lineage, and #1288 already reports packing/width-neutral saturation on the #1218 words. The open question that matters for the highest claim is #1297's own next question: whether the helper-donor kernel family extends beyond its four analogous pivots on the final words, plus whether #1305's idle selection leaves headroom in its class.", + "bottleneck_link": "The complex supplier binds; every recent gain on this line came from width-neutral local word changes (kernels) or idle repartitions. This bounds both families on the incumbent words and maps where a richer compensation would have to act.", + "budget_minutes": 120, + "stop_rule": "Stop after exhaustive two-shock (both restoration rules) and re-timing censuses on both words with exact pricing; build an admitted construction only if a gain appears; one bounded pivot only.", + "outcome": "negative-result", + "evidence": "evidence/CENSUS-*, PRICES-* (0 gains in 2 x (61 + 292) exact relation candidates), RETIME-* (0 gains in 2 x 803 exact moves), DELETION-* (screen only; control shows it is not a bound), IDLE-OPTIMUM-1305.json (#1305 selection = exact group optimum in all 3,687 groups); RESULT.json tallies; verify.py replays the censuses exactly and runs one positive and four failure controls. #1324 (posted during the census) uses the same word blobs; verdicts are unchanged at its endpoint weights, and it supersedes the idle part with a larger swap class.", + "author": "Marius-Paul Dumitrean", + "ai_assistance": "Substantial assistance from Anthropic Claude (Claude Code): search design, code, runs, analysis and text.", + "open_questions": [ + { + "question": "Do three-shock or window-donor relations exist for the high-screen pivots (438/440 and the ten -51,648 pivots 226/228/230/231/232/236/238/434/436/446)?", + "why_it_matters": "Their uncompensated deletion prices are 4-5x a realized #1274-type kernel (about +1.2e-6 kappa each if fully realized), and the two-shock family is now exhausted on these words.", + "first_step": "Extend census.py from output-read donor pairs to windows x += c*q ... x -= c*q on any register x closing before the first write of q; solve d as a sparse dyadic combination of at most three terms; price with price.py.", + "blocked_by": "About 2,500 distinct suffix vectors per pivot; all-triples enumeration is too large without support-guided pruning." + } + ] +} diff --git a/research/frontier1305-kernel-census/VERIFY.json b/research/frontier1305-kernel-census/VERIFY.json new file mode 100644 index 0000000000..4dd580339a --- /dev/null +++ b/research/frontier1305-kernel-census/VERIFY.json @@ -0,0 +1,18 @@ +{ + "schema_version": 1, + "status": "ready", + "python": "3.12", + "requirements": [], + "inputs": [], + "commands": [ + { + "argv": [ + "{python}", + "-B", + "{package}/verify.py" + ], + "timeout_seconds": 300, + "checks": "input SHA256/Git-blob pins; exact rational replay of all five censuses against evidence; every priced record bound to exactly one census match; evidence tallies equal RESULT.json with no negative price; positive control reproduces #1297's 5+5 hooks for pivots 555/567 at -11707; four failure controls (byte change, coefficient change, forged price, unbound edit) rejected" + } + ] +} diff --git a/research/frontier1305-kernel-census/census.py b/research/frontier1305-kernel-census/census.py new file mode 100644 index 0000000000..b222a0e5ca --- /dev/null +++ b/research/frontier1305-kernel-census/census.py @@ -0,0 +1,105 @@ +"""census.py: exact two-shock helper-donor relations for EVERY helper pivot read in B before its first write. +Independent re-implementation of the #1274/#1297 rule (rohanarun's search_relations.py): delete the early reads of a +pivot q, then compensate the exact rational output difference d with one helper cut (h += a*q after an output read of h, +restored h -= a*q at the end of early cleanup) and one donor pair (x += c*q / x -= c*q around an output read of x), +all coefficients dyadic and both nonzero. Adds pivots never written in B (first write = len(B)). +--restore first: the helper cut is restored just before the pivot's first B write instead of at the end of early cleanup +(exact by construction, since the pivot still holds its initial value there). Output records carry no timing fields, so a +rerun is byte-identical. Credit: rule and edit format from rohanarun's #1297 search_relations.py and Jeremy Kothe's #1274. +usage: python3 -B census.py WORD.json.gz OUT.json [--workers 12] [--pivots ...] [--restore tail|first]""" +import argparse, gzip, json, os, resource, signal, sys, time, multiprocessing as mp +from fractions import Fraction as Q +W = None +RESTORE = 'tail' +def coef(g): return Q(g[3], g[4]) if g[0] == 'add' else Q(g[2], g[3]) +def dyadic(c): return c.denominator & (c.denominator - 1) == 0 +def addv(a, b, c): + d = dict(a) + for k, v in b.items(): + x = d.get(k, 0) + c * v + if x: d[k] = x + else: d.pop(k, None) + return d +def col(seq, q): + r = {q: Q(1)} + for g in seq: + t = g[1] + if g[0] == 'add': + if g[2] in r: + x = r.get(t, 0) + coef(g) * r[g[2]] + if x: r[t] = x + else: r.pop(t, None) + elif t in r: + r[t] = r[t] * coef(g) + return r +def mask(v): + m = 0 + for k in v: m |= 1 << k + return m +def solve(u, v, d): + keys = sorted(set(u) | set(v) | set(d)); i = keys[0]; ui, vi, di = u.get(i, 0), v.get(i, 0), d.get(i, 0) + for j in keys: + uj, vj, dj = u.get(j, 0), v.get(j, 0), d.get(j, 0); det = ui * vj - uj * vi + if det: + a = (di * vj - dj * vi) / det; b = (ui * dj - uj * di) / det + if not a or not b or not dyadic(a) or not dyadic(b): return None + return (a, b) if all(a * u.get(k, 0) + b * v.get(k, 0) == d.get(k, 0) for k in keys) else None + return None +def init(path, restore='tail'): + global W, RESTORE; W = json.loads(gzip.decompress(open(path, 'rb').read())); RESTORE = restore +def relations(q): + signal.alarm(900) + t0 = time.monotonic(); w = W; B = w['B']; ne = len(w['early_cleanup']); tail = [w['cleanup'][i] for i, U in w['early_cleanup']] + seq = B + tail + first = next((i for i, g in enumerate(B) if g[1] == q), len(B)) + dele = {i for i in range(first) if B[i][0] == 'add' and B[i][2] == q} + if not dele: return dict(pivot=q, early=0, matches=[]) + new = [g for i, g in enumerate(seq) if i not in dele] + d = addv(col(seq, q), col(new, q), -1) + cols = {}; hs = []; ts = []; snap = None + for i in range(len(seq) - 1, -1, -1): + g = seq[i] + if i == first - 1 and RESTORE == 'first': snap = {k: dict(v) for k, v in cols.items()} + if i < first and g[0] == 'add' and 112 <= g[1] < 224 and g[2] >= 224 and g[2] != q and i not in dele: + h = g[2] + base_h = (snap.get(h, {h: Q(1)}) if snap is not None else {h: Q(1)}) if RESTORE == 'first' else {h: Q(1)} + eff = addv(cols.get(h, {h: Q(1)}), base_h, -1) + if eff: hs.append((i + 1, h, eff)) + ts.append((i, g, dict(cols.get(g[1], {g[1]: Q(1)})))) + if i in dele: continue + if g[0] == 'add': + t, s = g[1], g[2]; cols[s] = addv(cols.get(s, {s: Q(1)}), cols.get(t, {t: Q(1)}), coef(g)) + else: + t = g[1]; c = coef(g); cols[t] = {k: x * c for k, x in cols.get(t, {t: Q(1)}).items()} + md = mask(d); tm = [mask(v) for _, _, v in ts]; out = []; tried = 0 + for cut, h, u in hs: + need = md & ~mask(u) + for (i, g, v), mv in zip(ts, tm): + if h == g[2] or need & ~mv: continue + tried += 1; sol = solve(u, v, d) + if not sol: continue + a, b = sol; c = b / coef(g) + if not dyadic(c): continue + ins = [[i, ['add', g[2], q, c.numerator, c.denominator, []]], [i + 1, ['add', g[2], q, -c.numerator, c.denominator, []]], [cut, ['add', h, q, a.numerator, a.denominator, []]]] + if RESTORE == 'first': + ed = dict(delete=sorted(dele), insert=ins + [[first, ['add', h, q, -a.numerator, a.denominator, []]]], tail=[], prepend=[]) + else: + ed = dict(delete=sorted(dele), insert=ins, tail=[[ne, ['add', h, q, -a.numerator, a.denominator, []]]], prepend=[]) + out.append(dict(pivot=q, helper=h, cut=cut, output=g[1], hook=i, donor=g[2], amount=str(a), correction=str(b), ed=ed)) + signal.alarm(0) + return dict(pivot=q, early=len(dele), first=first, d_support=len(d), hs=len(hs), ts=len(ts), solved=tried, matches=out) +if __name__ == '__main__': + ap = argparse.ArgumentParser(); ap.add_argument('word'); ap.add_argument('out'); ap.add_argument('--workers', type=int, default=12) + ap.add_argument('--pivots', nargs='*', type=int); ap.add_argument('--restore', choices=('tail', 'first'), default='tail'); a = ap.parse_args() + RESTORE = a.restore + init(a.word, a.restore); B = W['B']; first = {} + for i, g in enumerate(B): first.setdefault(g[1], i) + piv = a.pivots or sorted({g[2] for i, g in enumerate(B) if g[0] == 'add' and g[2] >= 224 and i < first.get(g[2], len(B))}) + print('pivots', len(piv), flush=True); res = []; t0 = time.time() + with mp.get_context('fork').Pool(a.workers, initializer=init, initargs=(a.word, a.restore), maxtasksperchild=8) as pool: + for n, r in enumerate(pool.imap_unordered(relations, piv), 1): + res.append(r) + if r['matches']: print(f" {n}/{len(piv)} {time.time()-t0:.0f}s pivot {r['pivot']} early {r['early']} matches {len(r['matches'])}", flush=True) + res.sort(key=lambda r: r['pivot']) + json.dump(res, open(a.out, 'w'), sort_keys=True) + print('done', len(res), 'pivots with matches', sum(1 for r in res if r['matches']), 'matches', sum(len(r['matches']) for r in res), f'{time.time()-t0:.0f}s') diff --git a/research/frontier1305-kernel-census/deletion.py b/research/frontier1305-kernel-census/deletion.py new file mode 100644 index 0000000000..51e1c256ed --- /dev/null +++ b/research/frontier1305-kernel-census/deletion.py @@ -0,0 +1,45 @@ +"""deletion.py: uncompensated deletion price per pivot (a screening heuristic, NOT a bound; see README). Exact optimal frames (#1186 model: cone caps, tail-mutable, cut equality) of the +word with ALL early reads of pivot q deleted, WITHOUT any compensation and without the program-map screen. Any exact +compensating kernel adds gates, so (cost after deletion - base cost) bounds below the delta of every kernel for q that +keeps the remaining frame structure ONLY when the deletion leaves the map-derived constraints (cone caps, cut equality) +unchanged; it does not in general: on #1297's input word the uncompensated deletion of pivot 555/567 is frame-infeasible while +the exact kernels gain. usage: deletion.py TOOLKIT WORD OUT [--workers N]""" +import argparse, json, signal, sys, time, multiprocessing as mp +ap = argparse.ArgumentParser(); ap.add_argument('toolkit'); ap.add_argument('word'); ap.add_argument('out'); ap.add_argument('--workers', type=int, default=12) +ap.add_argument('--pivots', nargs='*', type=int); a = ap.parse_args() +sys.path.insert(0, a.toolkit) +import harness as H, frames as F +from word import inline +from model import cone_caps +P = None +def init(): + global P; P = H.Pricer(a.word, check_literal=True) +def run(q): + w = P.base; B = w['B']; first = next((i for i, g in enumerate(B) if g[1] == q), len(B)) + dele = [i for i in range(first) if B[i][0] == 'add' and B[i][2] == q] + w1 = H.compile_edits(w, dict(delete=dele)) + signal.signal(signal.SIGALRM, H._alarm); signal.alarm(300) + try: + caps, comp = cone_caps(w1) + g = F.Graph(inline(w1, True), check_literal=False, tail_mutable=True, caps=caps, cut_equality=True) + r = F.optimal_frames(inline(w1, True), P.costs, check_literal=False, graph=g) + res = dict(status='ok' if r['certified'] else 'uncertified', delta=r['cost'] - P.base_cost, profile=dict(sorted(r['profile'].items()))) + except F.Infeasible as e: res = dict(status='infeasible') + except H.Timeout: res = dict(status='timeout') + except ValueError as e: res = dict(status='error:' + str(e)[:60]) + finally: signal.alarm(0) + return dict(pivot=q, early=len(dele), targets=[B[i][1] for i in dele], **res) +if __name__ == '__main__': + init(); B = P.base['B']; first = {} + for i, g in enumerate(B): first.setdefault(g[1], i) + piv = a.pivots or sorted({g[2] for i, g in enumerate(B) if g[0] == 'add' and g[2] >= 224 and i < first.get(g[2], len(B))}) + print('base', P.base_cost, P.base_profile, 'pivots', len(piv), flush=True); out = []; t0 = time.time() + with mp.get_context('fork').Pool(a.workers, initializer=init, maxtasksperchild=10) as pool: + for n, r in enumerate(pool.imap_unordered(run, piv), 1): + out.append(r) + if n % 50 == 0: print(f' {n}/{len(piv)} {time.time()-t0:.0f}s', flush=True) + out.sort(key=lambda r: (r.get('delta') if r.get('delta') is not None else 10 ** 30, r['pivot'])) + json.dump(out, open(a.out, 'w'), sort_keys=True) + neg = [r for r in out if r.get('delta') is not None and r['delta'] < 0] + print('pivots with a deletion gain', len(neg), 'of', len(out), {s: sum(1 for r in out if r['status'] == s) for s in {r['status'] for r in out}}) + for r in neg[:40]: print(' ', r['pivot'], 'early', r['early'], r['targets'], 'delta', r['delta'], r['profile']) diff --git a/research/frontier1305-kernel-census/evidence/CENSUS-base-first.json b/research/frontier1305-kernel-census/evidence/CENSUS-base-first.json new file mode 100644 index 0000000000..f1b71cb1c1 --- /dev/null +++ b/research/frontier1305-kernel-census/evidence/CENSUS-base-first.json @@ -0,0 +1 @@ +[{"d_support": 10, "early": 3, "first": 1844, "hs": 368, "matches": [], "pivot": 226, "solved": 0, "ts": 655}, {"d_support": 10, "early": 3, "first": 1844, "hs": 368, "matches": [], "pivot": 228, "solved": 0, "ts": 655}, {"d_support": 10, "early": 3, "first": 1844, "hs": 368, "matches": [], "pivot": 230, "solved": 0, "ts": 655}, {"d_support": 10, "early": 3, "first": 1844, "hs": 368, "matches": [], "pivot": 231, "solved": 0, "ts": 655}, {"d_support": 10, "early": 3, "first": 1844, "hs": 368, "matches": [], "pivot": 232, "solved": 0, "ts": 655}, {"d_support": 4, "early": 1, "first": 640, "hs": 197, "matches": [], "pivot": 233, "solved": 0, "ts": 331}, {"d_support": 11, "early": 3, "first": 1844, "hs": 367, "matches": [], "pivot": 235, "solved": 0, "ts": 654}, {"d_support": 10, "early": 3, "first": 1844, "hs": 368, "matches": [], "pivot": 236, "solved": 0, "ts": 655}, {"d_support": 11, "early": 3, "first": 1844, "hs": 367, "matches": [], "pivot": 237, "solved": 0, "ts": 654}, {"d_support": 10, "early": 3, "first": 1844, "hs": 368, "matches": [], "pivot": 238, "solved": 0, "ts": 655}, {"d_support": 4, "early": 1, "first": 556, "hs": 182, "matches": [], "pivot": 239, "solved": 0, "ts": 302}, {"d_support": 8, "early": 1, "first": 965, "hs": 268, "matches": [], "pivot": 242, "solved": 0, "ts": 392}, {"d_support": 8, "early": 1, "first": 973, "hs": 268, "matches": [], "pivot": 244, "solved": 0, "ts": 392}, {"d_support": 8, "early": 1, "first": 972, "hs": 268, "matches": [], "pivot": 246, "solved": 0, "ts": 392}, {"d_support": 8, "early": 1, "first": 964, "hs": 268, "matches": [], "pivot": 247, "solved": 0, "ts": 392}, {"d_support": 8, "early": 1, "first": 996, "hs": 268, "matches": [], "pivot": 248, "solved": 0, "ts": 392}, {"d_support": 4, "early": 1, "first": 641, "hs": 198, "matches": [], "pivot": 249, "solved": 26, "ts": 331}, {"d_support": 11, "early": 3, "first": 1844, "hs": 367, "matches": [], "pivot": 251, "solved": 0, "ts": 654}, {"d_support": 8, "early": 1, "first": 1004, "hs": 268, "matches": [], "pivot": 252, "solved": 0, "ts": 392}, {"d_support": 11, "early": 3, "first": 1844, "hs": 367, "matches": [], "pivot": 253, "solved": 0, "ts": 654}, {"d_support": 8, "early": 1, "first": 1005, "hs": 268, "matches": [], "pivot": 254, "solved": 0, "ts": 392}, {"d_support": 4, "early": 1, "first": 577, "hs": 184, "matches": [], "pivot": 255, "solved": 0, "ts": 306}, {"d_support": 8, "early": 1, "first": 967, "hs": 268, "matches": [], "pivot": 258, "solved": 0, "ts": 392}, {"d_support": 8, "early": 1, "first": 975, "hs": 268, "matches": [], "pivot": 260, "solved": 0, "ts": 392}, {"d_support": 8, "early": 1, "first": 974, "hs": 268, "matches": [], "pivot": 262, "solved": 0, "ts": 392}, {"d_support": 8, "early": 1, "first": 966, "hs": 268, "matches": [], "pivot": 263, "solved": 0, "ts": 392}, {"d_support": 8, "early": 1, "first": 1006, "hs": 268, "matches": [], "pivot": 264, "solved": 0, "ts": 392}, {"d_support": 4, "early": 1, "first": 642, "hs": 199, "matches": [], "pivot": 265, "solved": 339, "ts": 331}, {"d_support": 11, "early": 3, "first": 1844, "hs": 367, "matches": [], "pivot": 267, "solved": 0, "ts": 654}, {"d_support": 8, "early": 1, "first": 998, "hs": 268, "matches": [], "pivot": 268, "solved": 0, "ts": 392}, {"d_support": 11, "early": 3, "first": 1844, "hs": 367, "matches": [], "pivot": 269, "solved": 0, "ts": 654}, {"d_support": 8, "early": 1, "first": 999, "hs": 268, "matches": [], "pivot": 270, "solved": 0, "ts": 392}, {"d_support": 4, "early": 1, "first": 598, "hs": 188, "matches": [], "pivot": 271, "solved": 0, "ts": 313}, {"d_support": 9, "early": 1, "first": 949, "hs": 268, "matches": [], "pivot": 274, "solved": 0, "ts": 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[[47, 472]], "pivot": 591, "profile": {"1": 2338, "2": 512, "3": 418, "4": 126, "5": 82}, "status": "ok"}, {"delta": null, "kind": "single", "moves": [[47, 897]], "pivot": 591, "profile": null, "status": "infeasible"}] \ No newline at end of file diff --git a/research/frontier1305-kernel-census/idle_optimum.py b/research/frontier1305-kernel-census/idle_optimum.py new file mode 100644 index 0000000000..f79604495a --- /dev/null +++ b/research/frontier1305-kernel-census/idle_optimum.py @@ -0,0 +1,79 @@ +"""idle_optimum.py: group census of #1305's completely idle rank-48 non-owner children and exact per-group optimum of the +donor-star class admitted by verify_idle_overlay.py (receiver gets exactly one 3-axis triple -> rank 51). +Every assignment of donors to receivers in each (replica, port) group is enumerated (as #1305's builder does), but axis triples +are chosen by exact backtracking instead of greedily. Group weights are #1305's own selection weights. +usage: idle_optimum.py STRICT_GLOBAL_DIR OWNERS.json.gz OUT.json (STRICT_GLOBAL_DIR = <#1305 verify work>/strict/global)""" +import gzip, json, sys, itertools, collections +from pathlib import Path +import hashlib +G = Path(sys.argv[1]); OWN = Path(sys.argv[2]); OUT = Path(sys.argv[3]) +sha = lambda p: hashlib.sha256(p.read_bytes()).hexdigest() +rd = lambda p: json.loads(gzip.decompress(p.read_bytes()) if p.suffix == '.gz' else p.read_bytes()) +dot = lambda a, b: (int(a) & int(b)).bit_count() & 1 +frames = rd(G / 'hosted-baseline/IDLE-REMAINDER-FRAMES.json.gz') +phases = rd(G / 'base/work/complex-nine-native/DATA-PHASES.json'); recipes = {r['port']: r for r in phases['recipes']} +owners = rd(OWN); owner_slots = {(x['owner_replica'], x['port'], x['child']) for x in owners} +ov = json.loads((G / 'hosted/IDLE-PAIR-OVERLAY.json').read_text()) +print('idle frames', len(frames), 'rank hist', sorted(collections.Counter(r['rank'] for r in frames).items())[:12], '...') +elig = collections.defaultdict(list); why = collections.Counter() +for r in frames: + k = (r['replica'], r['port'], r['child']) + if r['rank'] != 48: why['rank!=48'] += 1; continue + if r['hosted'] != 0: why['hosted'] += 1; continue + if r['pending_offset'] != 0: why['pending'] += 1; continue + if k in owner_slots: why['owner'] += 1; continue + elig[r['replica'], r['port']].append(r) +print('rank48 exclusions', dict(why), 'eligible', sum(map(len, elig.values())), 'groups', len(elig)) +print('group sizes', sorted(collections.Counter(map(len, elig.values())).items())) +Gw = {36: -2.4520183911866953e-09, 39: -1.9171680322068257e-09, 42: -1.3276966099980976e-09, 45: -6.875123312271499e-10, 48: 0.0, 51: 7.318804853566615e-10} +cur = collections.defaultdict(list) +for d in ov['donors']: cur[d['replica'], d['port']].append(len(d['receivers'])) +def feasible(lists): + """disjoint 3-subsets, one per receiver, from the given axis lists (exact backtracking).""" + lists = sorted(lists, key=len) + def bt(i, used): + if i == len(lists): return True + cand = [v for v in lists[i] if v not in used] + if len(cand) < 3: return False + for t in itertools.combinations(cand, 3): + if bt(i + 1, used | set(t)): return True + return False + return bt(0, frozenset()) +better = []; stats = collections.Counter(); tot_cur = tot_opt = 0.0 +for (rep, port), rows in sorted(elig.items()): + rec = recipes[port]; m = len(rows) + ys = [int(s[k]) for s in rec['stage_alignment'] for k in ('entry_Y', 'exit_Y')] + [int(rec['terminal_Y_translation'])] + xs = [int(s[k]) for s in rec['stage_alignment'] for k in ('entry_X', 'exit_X')] + ax = [list(map(int, r['orthogonal_axes'])) for r in rows] + mov = {} + for i in range(m): + for j in range(m): + if i != j: + tr = [int(rec['idle_children'][c]['translation_after']) for c in (rows[i]['child'], rows[j]['child'])] + mov[i, j] = [v for v in ax[i] if all(dot(v, x) == 0 for x in ax[j] + ys + xs + tr)] + best = 0.0; bestshape = () + for assign in itertools.product(range(-1, m), repeat=m): + if any(assign[j] == j for j in range(m)): continue + donors = set(d for d in assign if d >= 0) + if any(assign[d] >= 0 for d in donors): continue + serve = {d: [j for j in range(m) if assign[j] == d] for d in donors} + val = sum(Gw[48 - 3 * len(v)] + len(v) * Gw[51] for v in serve.values()) + if val <= best + 1e-30: continue + if all(feasible([mov[d, j] for j in rs]) for d, rs in serve.items()): + best = val; bestshape = tuple(sorted(len(v) for v in serve.values())) + c = sum(Gw[48 - 3 * k] + k * Gw[51] for k in cur.get((rep, port), [])) + tot_cur += c; tot_opt += best + stats[(m, tuple(sorted(cur.get((rep, port), []))), bestshape)] += 1 + if best > c + 1e-25: better.append(((rep, port), m, sorted(cur.get((rep, port), [])), bestshape, best - c)) +print('value current %.6e optimum %.6e groups improvable %d' % (tot_cur, tot_opt, len(better))) +for k, v in sorted(stats.items()): print(' m=%d current=%s optimum=%s : %d groups' % (k[0], k[1], k[2], v)) +for b in better[:10]: print(' better', b) + +rec = dict(status='PASS_1305_IDLE_SELECTION_EQUALS_EXACT_GROUP_OPTIMUM' if not better else 'IMPROVABLE_GROUPS_FOUND', + inputs={n: sha(G / n) for n in ('hosted-baseline/IDLE-REMAINDER-FRAMES.json.gz', 'hosted/IDLE-PAIR-OVERLAY.json', 'base/work/complex-nine-native/DATA-PHASES.json')}, + owners_sha256=sha(OWN), eligible=sum(map(len, elig.values())), groups=len(elig), + group_sizes={str(k): v for k, v in sorted(collections.Counter(map(len, elig.values())).items())}, + shapes=[dict(size=k[0], current=list(k[1]), optimum=list(k[2]), groups=v) for k, v in sorted(stats.items())], + value_current=repr(tot_cur), value_optimum=repr(tot_opt), improvable_groups=len(better), + donors=len(ov['donors']), receivers=sum(len(d['receivers']) for d in ov['donors']), profile=ov['profile']) +OUT.write_text(json.dumps(rec, indent=2, sort_keys=True) + '\n'); print(rec['status']) diff --git 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a/research/frontier1305-kernel-census/inputs/PINS.json b/research/frontier1305-kernel-census/inputs/PINS.json new file mode 100644 index 0000000000..605303a255 --- /dev/null +++ b/research/frontier1305-kernel-census/inputs/PINS.json @@ -0,0 +1,30 @@ +{ + "schema_version": 1, + "license": "Apache-2.0 (rohanarun, PR #1297; retained ancestry)", + "files": { + "BASE-WORD.json.gz": { + "sha256": "e8e6e78ff7422275c38324499e1f33fb2ecd30de9503aef2b8f1ee80d8c4df8e", + "git_blob": "eacf8c773cb50637f93a762342b3b5f0853fe29a", + "source_pr": 1297, + "source_commit": "4abf710a7f0d2a46f522f3f13c15769d003f9495", + "source_path": "research/global-mixed-four-cold-kernels/gauge44-word.json.gz", + "also_in": "PR #1305 a96a5d959672752026292ba5024664b436879fe7 research/global-mixed-four-cold-kernels-idle/ (identical blob)" + }, + "EXTRA-WORD.json.gz": { + "sha256": "7b0e9fbda32749aabc7e156d9fe09bceb0624a178628fe69e5dfea783462f905", + "git_blob": "4d464f55a2955e5c832b5ce789d5d0e0a39fb4e1", + "source_pr": 1297, + "source_commit": "4abf710a7f0d2a46f522f3f13c15769d003f9495", + "source_path": "research/global-mixed-four-cold-kernels/extra-word.json.gz", + "also_in": "PR #1305 a96a5d959672752026292ba5024664b436879fe7 research/global-mixed-four-cold-kernels-idle/ (identical blob)" + }, + "CONTROL-WORD.json.gz": { + "sha256": "b87c706d14a7e1972514ee901002a930908073811ef38761def31c8e36351916", + "git_blob": "ed6248e6b7a1dfad3e40b5b82eaab38ccced0f7e", + "source_pr": 1297, + "source_commit": "4abf710a7f0d2a46f522f3f13c15769d003f9495", + "source_path": "research/global-mixed-four-cold-kernels/inputs/base.json.gz", + "role": "#1297's input base word (pivots 555/567 not yet kerneled): positive control" + } + } +} \ No newline at end of file diff --git a/research/frontier1305-kernel-census/price.py b/research/frontier1305-kernel-census/price.py new file mode 100644 index 0000000000..edf56d5825 --- /dev/null +++ b/research/frontier1305-kernel-census/price.py @@ -0,0 +1,28 @@ +"""price.py: exact frame pricing (#1186 harness: program-map screen, cone caps, tail-mutable optimal frames, cut equality) +of census matches on one word. Needs the #1186 toolkit directory (research/exact-frame-toolkit of PR #1186). +usage: price.py TOOLKIT_DIR WORD.json.gz CENSUS.json OUT.json [--workers N]""" +import argparse, json, os, resource, sys, time, multiprocessing as mp +ap = argparse.ArgumentParser(); ap.add_argument('toolkit'); ap.add_argument('word'); ap.add_argument('census'); ap.add_argument('out') +ap.add_argument('--workers', type=int, default=8); ap.add_argument('--check-literal', type=int, default=1); a = ap.parse_args() +sys.path.insert(0, a.toolkit) +import harness as H +P = None +def init(): + global P; P = H.Pricer(a.word, check_literal=bool(a.check_literal)) +def run(m): + r = P.price(m['ed'], timeout=300) + if resource.getrusage(resource.RUSAGE_SELF).ru_maxrss / 1024 ** 3 > 8: r['rss_exit'] = True + return dict({k: v for k, v in m.items() if k != 'ed'}, ed=m['ed'], price=r) +if __name__ == '__main__': + cen = json.load(open(a.census)); ms = [m for r in cen for m in r['matches']] + t0 = time.time(); init(); print('base cost', P.base_cost, 'profile', P.base_profile, f'{time.time()-t0:.1f}s', flush=True) + out = [] + with mp.get_context('fork').Pool(a.workers, initializer=init, maxtasksperchild=6) as pool: + for n, r in enumerate(pool.imap_unordered(run, ms), 1): + out.append(r); p = r['price'] + print(f" {n}/{len(ms)} {time.time()-t0:.0f}s pivot {r['pivot']} h {r['helper']} donor {r['donor']} -> {p.get('status')} delta {p.get('delta')} {p.get('profile')}", flush=True) + out.sort(key=lambda r: (r['pivot'], r['helper'], r['donor'], r['cut'], r['hook'])) + json.dump(out, open(a.out, 'w'), sort_keys=True) + g = sorted([r for r in out if r['price'].get('delta') is not None and r['price']['delta'] < 0], key=lambda r: r['price']['delta']) + print('priced', len(out), 'gains', len(g), 'pivots with gains', sorted({r['pivot'] for r in g})) + for r in g[:40]: print(' gain', r['pivot'], r['helper'], r['donor'], r['price']['delta'], r['price']['profile']) diff --git a/research/frontier1305-kernel-census/regenerate.py b/research/frontier1305-kernel-census/regenerate.py new file mode 100644 index 0000000000..c6b0807502 --- /dev/null +++ b/research/frontier1305-kernel-census/regenerate.py @@ -0,0 +1,43 @@ +#!/usr/bin/env python3 +# SPDX-License-Identifier: Apache-2.0 +"""Rebuild every evidence file into a new directory and compare it byte-for-byte with evidence/. + +Stages: census.py (standard library) for both #1297/#1305 final words with both restoration rules and for the #1297 +input word (positive control); price.py, deletion.py and retime.py with the #1186 exact frame harness; optionally +idle_optimum.py on a completed #1305 verify run. Cost weights use IMB_B = 0.001679979627113687, the certified complex +lower endpoint of #1305's profile (kappa itself is never taken from these weights). + +usage: python3 -B regenerate.py --toolkit /research/exact-frame-toolkit --out NEW_DIR [--workers 12] + [--idle-run <#1305 verify work dir> --idle-owners <#1305 package>/OWNERS.json.gz] +""" +import argparse, filecmp, os, subprocess, sys, time +from pathlib import Path +PKG = Path(__file__).resolve().parent +IMB_B = '0.001679979627113687' +WORDS = dict(base=PKG / 'inputs/BASE-WORD.json.gz', extra=PKG / 'inputs/EXTRA-WORD.json.gz', control=PKG / 'inputs/CONTROL-WORD.json.gz') +ap = argparse.ArgumentParser(); ap.add_argument('--toolkit', type=Path, required=True); ap.add_argument('--out', type=Path, required=True) +ap.add_argument('--workers', type=int, default=12); ap.add_argument('--idle-run', type=Path); ap.add_argument('--idle-owners', type=Path) +a = ap.parse_args(); out = a.out.resolve(); assert not out.exists(), 'output directory must be new'; out.mkdir(parents=True) +env = dict(os.environ, IMB_B=IMB_B, IMB_ROOT=str(PKG.parents[1]), PYTHONDONTWRITEBYTECODE='1') # the toolkit reads vendored PR551 gk modules from this checkout +env.pop('PYTHONOPTIMIZE', None) +def run(*args): + t0 = time.time(); log = out / 'regenerate.log' + with log.open('a') as f: + f.write('$ ' + ' '.join(map(str, args)) + '\n'); f.flush() + rc = subprocess.run([sys.executable, '-B', *map(str, args)], env=env, stdout=f, stderr=subprocess.STDOUT).returncode + assert rc == 0, (args, log.read_text()[-3000:]); print('PASS', Path(args[0]).name, Path(str(args[-1])).name if not str(args[-1]).startswith('-') else '', f'{time.time()-t0:.0f}s', flush=True) +W = str(a.workers); T = a.toolkit.resolve() +for w in ('base', 'extra'): + for rule in ('tail', 'first'): + run(PKG / 'census.py', WORDS[w], out / f'CENSUS-{w}-{rule}.json', '--workers', W, '--restore', rule) + run(PKG / 'price.py', T, WORDS[w], out / f'CENSUS-{w}-{rule}.json', out / f'PRICES-{w}-{rule}.json', '--workers', W) + run(PKG / 'deletion.py', T, WORDS[w], out / f'DELETION-{w}.json', '--workers', W) + run(PKG / 'retime.py', T, WORDS[w], out / f'DELETION-{w}.json', out / f'RETIME-{w}.json', '--workers', W) +run(PKG / 'census.py', WORDS['control'], out / 'CENSUS-control-tail.json', '--workers', W, '--pivots', '555', '567') +run(PKG / 'price.py', T, WORDS['control'], out / 'CENSUS-control-tail.json', out / 'PRICES-control-tail.json', '--workers', W) +run(PKG / 'deletion.py', T, WORDS['control'], out / 'DELETION-control.json', '--workers', W, '--pivots', '555', '567') +if a.idle_run: + run(PKG / 'idle_optimum.py', a.idle_run.resolve() / 'strict/global', a.idle_owners.resolve(), out / 'IDLE-OPTIMUM-1305.json') +names = sorted(p.name for p in out.glob('*.json')) +same = [n for n in names if (PKG / 'evidence' / n).exists() and filecmp.cmp(out / n, PKG / 'evidence' / n, shallow=False)] +print('identical to evidence/:', len(same), 'of', len(names)); [print(' DIFFERS or new:', n) for n in names if n not in same] diff --git a/research/frontier1305-kernel-census/retime.py b/research/frontier1305-kernel-census/retime.py new file mode 100644 index 0000000000..fbce00122d --- /dev/null +++ b/research/frontier1305-kernel-census/retime.py @@ -0,0 +1,49 @@ +"""retime.py: exact re-timing of early pivot reads. An early read g_j = (t += c*q) at B position j < first(q) may move to +any position p in (j, first(q)] such that no B gate in (j, p) reads t or scales t (t's suffix effect is then unchanged) and +q is still unwritten (its value is the initial one), so the program map is unchanged exactly. Prices (exact frames, +#1186 harness): every single move to the segment end and to every intermediate slot; then, per pivot, the joint move of +all its early reads to their segment ends. usage: retime.py TOOLKIT WORD ORACLE.json OUT.json [--top N] [--workers N]""" +import argparse, json, sys, time, multiprocessing as mp +ap = argparse.ArgumentParser(); ap.add_argument('toolkit'); ap.add_argument('word'); ap.add_argument('oracle'); ap.add_argument('out') +ap.add_argument('--top', type=int, default=160); ap.add_argument('--workers', type=int, default=14); a = ap.parse_args() +sys.path.insert(0, a.toolkit) +import harness as H +P = None +def init(): + global P; P = H.Pricer(a.word, check_literal=True) +def segment_end(B, j, q, first): + t = B[j][1]; p = j + 1 + while p < first: + g = B[p] + if (g[0] == 'add' and g[2] == t) or (g[0] == 'scale' and g[1] == t) or (g[0] == 'add' and g[1] == q) or (g[0] == 'scale' and g[1] == q): break + p += 1 + return p # insert before base index p (exclusive end); p == j+1 means no room +def run(job): + kind, q, moves = job + ed = dict(delete=[j for j, p in moves], insert=[[p, list(P.base['B'][j][:-1]) + [[]]] for j, p in moves]) + r = P.price(ed, timeout=300) + return dict(kind=kind, pivot=q, moves=moves, status=r.get('status'), delta=r.get('delta'), profile=r.get('profile')) +if __name__ == '__main__': + init(); B = P.base['B']; ora = [r for r in json.load(open(a.oracle)) if r.get('delta') is not None and r['delta'] < 0][:a.top] + jobs = [] + for r in ora: + q = r['pivot']; first = next((i for i, g in enumerate(B) if g[1] == q), len(B)) + dele = [i for i in range(first) if B[i][0] == 'add' and B[i][2] == q] + ends = [] + for j in dele: + e = segment_end(B, j, q, first) + if e > j + 1: + ends.append((j, e)) + for p in sorted({j + 2, (j + e) // 2, e}): + if j + 1 < p <= e: jobs.append(('single', q, [(j, p)])) + if len(ends) > 1: jobs.append(('joint-end', q, ends)) + print('pivots', len(ora), 'jobs', len(jobs), flush=True); out = []; t0 = time.time() + with mp.get_context('fork').Pool(a.workers, initializer=init, maxtasksperchild=12) as pool: + for n, r in enumerate(pool.imap_unordered(run, jobs), 1): + out.append(r) + if r['delta'] is not None and r['delta'] < 0: print(' GAIN', r, flush=True) + if n % 100 == 0: print(f' {n}/{len(jobs)} {time.time()-t0:.0f}s', flush=True) + out.sort(key=lambda r: (r['pivot'], r['kind'], r['moves'])) + json.dump(out, open(a.out, 'w'), sort_keys=True) + import collections + print('done', len(out), collections.Counter((r['status'], (r['delta'] > 0) - (r['delta'] < 0) if r['delta'] is not None else None) for r in out)) diff --git a/research/frontier1305-kernel-census/verify.py b/research/frontier1305-kernel-census/verify.py new file mode 100644 index 0000000000..5abcc4f748 --- /dev/null +++ b/research/frontier1305-kernel-census/verify.py @@ -0,0 +1,110 @@ +#!/usr/bin/env python3 +# SPDX-License-Identifier: Apache-2.0 +"""Standard-library replay of the #1297/#1305 helper-donor kernel census (no new kappa). + +Checks: + 1. inputs: SHA256 and Git blob ids of the three vendored words equal inputs/PINS.json (the #1297/#1305 blobs); + 2. census replay: census.py (exact rational two-shock relations, both restoration rules) is rerun on both final words + and on the control word; every result equals evidence/CENSUS-*.json exactly; + 3. binding: every record of evidence/PRICES-*.json is exactly one census match, and every match is priced once; + 4. tallies: PRICES, RETIME, DELETION and IDLE-OPTIMUM evidence recount to RESULT.json; no priced or re-timed + candidate has a negative delta (no gain); + 5. positive control: on #1297's input word the census reproduces #1297's five hooks for each of pivots 555 and 567 + (including its committed donors 620 and 628), each priced at the realized kernel gain -11707 (H1 -3, H3 +1); + 6. failure controls: a one-byte input change, a changed early-read coefficient, a forged negative price and a priced + edit absent from the census are each rejected at the intended check. +The exact frame prices themselves need PR #1186's toolkit; regenerate.py reruns them and compares byte-for-byte. +""" +import collections, copy, gzip, hashlib, json, sys +from pathlib import Path +assert __debug__, 'assertions are the checks; do not run with -O' +PKG = Path(__file__).resolve().parent +sys.path.insert(0, str(PKG)) +import census # noqa: E402 +EV = PKG / 'evidence' +rd = lambda p: json.loads(Path(p).read_text()) +canon = lambda x: json.dumps(x, sort_keys=True, separators=(',', ':')) +def blob(b): return hashlib.sha1(b'blob %d\0' % len(b) + b).hexdigest() + +def check_pins(raw): + pins = rd(PKG / 'inputs/PINS.json')['files'] + for name, pin in pins.items(): + b = raw[name] + assert hashlib.sha256(b).hexdigest() == pin['sha256'], 'input pin: ' + name + assert blob(b) == pin['git_blob'], 'input git blob: ' + name + return pins + +def pivots(w): + B = w['B']; first = {} + for i, g in enumerate(B): first.setdefault(g[1], i) + return sorted({g[2] for i, g in enumerate(B) if g[0] == 'add' and g[2] >= 224 and i < first.get(g[2], len(B))}) + +def run_census(word_json, restore, only=None): + census.W = word_json; census.RESTORE = restore + return json.loads(canon(sorted((census.relations(q) for q in (only or pivots(word_json))), key=lambda r: r['pivot']))) + +def match_key(m): return canon({k: v for k, v in m.items() if k != 'price'}) + +def check_binding(cen, priced): + a = collections.Counter(match_key(m) for r in cen for m in r['matches']) + b = collections.Counter(match_key(m) for m in priced) + assert a == b, 'priced records must be exactly the census matches' + +def tally(records, key): + return dict(sorted(collections.Counter(key(r) for r in records).items())) + +def price_key(r): return '%s:%s' % (r['price']['status'], r['price'].get('delta')) + +def check_no_gain(priced, label): + assert all(r['price'].get('delta') is None or r['price']['delta'] >= 0 for r in priced), 'negative price in ' + label + +def main(): + res = rd(PKG / 'RESULT.json'); raw = {n: (PKG / 'inputs' / n).read_bytes() for n in ('BASE-WORD.json.gz', 'EXTRA-WORD.json.gz', 'CONTROL-WORD.json.gz')} + check_pins(raw) + words = {k: json.loads(gzip.decompress(raw[f])) for k, f in (('base', 'BASE-WORD.json.gz'), ('extra', 'EXTRA-WORD.json.gz'), ('control', 'CONTROL-WORD.json.gz'))} + out = dict(census={}, prices={}, retime={}, deletion={}) + for w in ('base', 'extra'): + for rule in ('tail', 'first'): + name = f'{w}-{rule}'; cen = run_census(words[w], rule) + assert cen == rd(EV / f'CENSUS-{name}.json'), 'census replay differs: ' + name + priced = rd(EV / f'PRICES-{name}.json'); check_binding(cen, priced); check_no_gain(priced, name) + out['census'][name] = dict(pivots=len(cen), with_matches=sum(1 for r in cen if r['matches']), matches=sum(len(r['matches']) for r in cen)) + out['prices'][name] = tally(priced, price_key) + rt = rd(EV / f'RETIME-{w}.json'); assert all(r['delta'] is None or r['delta'] >= 0 for r in rt), 'negative re-timing price' + out['retime'][w] = tally(rt, lambda r: '%s:%s' % (r['status'], r['delta'])) + dl = rd(EV / f'DELETION-{w}.json') + out['deletion'][w] = dict(statuses=tally(dl, lambda r: r['status']), negative=sum(1 for r in dl if r.get('delta') is not None and r['delta'] < 0)) + cen = run_census(words['control'], 'tail', [555, 567]); assert cen == rd(EV / 'CENSUS-control-tail.json'), 'control census replay differs' + priced = rd(EV / 'PRICES-control-tail.json'); check_binding(cen, priced) + by = {r['pivot']: r['matches'] for r in cen} + assert [len(by[555]), len(by[567])] == [5, 5] and 620 in {m['donor'] for m in by[555]} and 628 in {m['donor'] for m in by[567]}, 'control hooks' + assert {m['helper'] for m in by[555]} == {383} and {m['helper'] for m in by[567]} == {399}, 'control partners' + assert all(r['price'] == dict(status='ok', delta=-11707, profile={'1': 2349, '2': 504, '3': 413, '4': 130, '5': 82}) for r in priced), 'control prices' + out['control'] = dict(matches=len(priced), delta=-11707, deletion=[r['status'] for r in rd(EV / 'DELETION-control.json')]) + idle = rd(EV / 'IDLE-OPTIMUM-1305.json') + assert idle['status'] == 'PASS_1305_IDLE_SELECTION_EQUALS_EXACT_GROUP_OPTIMUM' and idle['improvable_groups'] == 0 + assert all(s['current'] == s['optimum'] for s in idle['shapes']) and sum(s['groups'] for s in idle['shapes']) == idle['groups'] + out['idle'] = {k: idle[k] for k in ('eligible', 'groups', 'group_sizes', 'improvable_groups', 'donors', 'receivers')} + assert out == res['tallies'], 'evidence tallies differ from RESULT.json' + # failure controls + rejected = {} + def expect(fn, needle, label): + try: fn() + except AssertionError as e: + assert needle in str(e), (label, str(e)); rejected[label] = str(e); return + raise AssertionError('control accepted: ' + label) + bad = dict(raw); b = bytearray(bad['BASE-WORD.json.gz']); b[-5] ^= 1; bad['BASE-WORD.json.gz'] = bytes(b) + expect(lambda: check_pins(bad), 'input pin', 'one-byte input change') + w2 = copy.deepcopy(words['control']); first = next(i for i, g in enumerate(w2['B']) if g[1] == 555) + j = next(i for i in range(first) if w2['B'][i][0] == 'add' and w2['B'][i][2] == 555); w2['B'][j][3] *= 3 + def mutated(): + assert run_census(w2, 'tail', [555]) == [r for r in rd(EV / 'CENSUS-control-tail.json') if r['pivot'] == 555], 'census replay differs: mutated coefficient' + expect(mutated, 'census replay differs', 'changed early-read coefficient') + forged = copy.deepcopy(rd(EV / 'PRICES-base-tail.json')); next(r for r in forged if r['price']['status'] == 'ok')['price']['delta'] = -1 + expect(lambda: check_no_gain(forged, 'forged'), 'negative price', 'forged negative price') + moved = copy.deepcopy(rd(EV / 'PRICES-base-tail.json')); moved[0]['ed']['insert'][2][0] += 1 + expect(lambda: check_binding(rd(EV / 'CENSUS-base-tail.json'), moved), 'exactly the census matches', 'priced edit absent from census') + print(json.dumps(dict(status='PASS_FRONTIER1305_KERNEL_CENSUS_NO_GAIN', tallies=out, controls_rejected=sorted(rejected)), indent=2)) + +if __name__ == '__main__': + main() From 9e944899af5d9b44486257915f90c5860d3d90eb Mon Sep 17 00:00:00 2001 From: Marius-Paul Dumitrean Date: Wed, 14 Oct 2026 09:29:32 -0400 Subject: [PATCH 2/3] Census revision 2: rigorous true-moment bound, narrowed optimality wording Answers the #1337 review continuation point (supply a rigorous rounding/separation bound or narrow the optimality claim to the integer objective; the verifier does not regenerate all priced evidence): - price.py and retime.py now price with PR #1186 revision 2's Pricer(interval=True) (bounds.py): every candidate records its realized true delta, and a rigorous bound on any true gain, rounded up to 1e-6 units. All 1,438 neutral candidates have true delta exactly 0 and possible gain at most 1e-6 units (exact bounds about 1e-11). Every verdict, delta and profile equals revision 1's evidence. The positive control is -11707 surrogate units, -11707.88 true units, and passes audit_local. - verify.py checks the bounds against RESULT.json (true_moment_bound, tallies.intervals) and adds a forged-bound control; its docstring and VERIFY.json state that it is a recount, while regenerate.py reruns every price (toolkit pinned to #1186 3855fd41 by its MANIFEST; two consecutive regenerations are byte-identical to evidence/). - README and RESULT.json: "exactly optimal" narrowed to surrogate-optimal plus the stated bound; the withdrawal of #1305/#1324 and the later pivot-566/554 kernels on these words are recorded. --- research/frontier1305-kernel-census/NOTICE.md | 2 + research/frontier1305-kernel-census/README.md | 52 ++++++++++++----- .../frontier1305-kernel-census/RESULT.json | 57 +++++++++++++++++-- .../frontier1305-kernel-census/VERIFY.json | 2 +- research/frontier1305-kernel-census/bounds.py | 24 ++++++++ .../evidence/PRICES-base-first.json | 2 +- .../evidence/PRICES-base-tail.json | 2 +- .../evidence/PRICES-control-tail.json | 2 +- .../evidence/PRICES-extra-first.json | 2 +- .../evidence/PRICES-extra-tail.json | 2 +- .../evidence/RETIME-base.json | 2 +- .../evidence/RETIME-extra.json | 2 +- research/frontier1305-kernel-census/price.py | 11 ++-- .../frontier1305-kernel-census/regenerate.py | 11 +++- research/frontier1305-kernel-census/retime.py | 14 +++-- research/frontier1305-kernel-census/verify.py | 41 +++++++++++-- 16 files changed, 183 insertions(+), 45 deletions(-) create mode 100644 research/frontier1305-kernel-census/bounds.py diff --git a/research/frontier1305-kernel-census/NOTICE.md b/research/frontier1305-kernel-census/NOTICE.md index 952e34a73f..7eb1ec7713 100644 --- a/research/frontier1305-kernel-census/NOTICE.md +++ b/research/frontier1305-kernel-census/NOTICE.md @@ -13,3 +13,5 @@ format, extended to pivots never written in B and to a before-first-write restor pricing harness of PR #1186 (research/exact-frame-toolkit), which is not vendored here. New files: Marius-Paul Dumitrean, Apache-2.0, prepared with substantial AI assistance (Anthropic Claude, via Claude Code). + +Revision 2 (2026-10-14) answers the maintainer's review continuation point on #1337 (Mister-Meeseeks, [batch review](https://github.com/CrocSwap/integer-mult-bounds/blob/main/docs/research/community-efficient400-review.md)). It re-prices the evidence with PR #1186 revision 2's true-moment interval certificate (head 3855fd41). Prepared with substantial AI assistance (Anthropic Claude, via Claude Code). diff --git a/research/frontier1305-kernel-census/README.md b/research/frontier1305-kernel-census/README.md index a8cfdd9ebe..69d93ef376 100644 --- a/research/frontier1305-kernel-census/README.md +++ b/research/frontier1305-kernel-census/README.md @@ -1,11 +1,15 @@ # Helper-donor kernel census on the #1297/#1305/#1324 words (no new κ) -**Scoped negative result.** The highest open claims share two local words: #1324 (κ = 0.001677380107853623) and #1305 (κ = 0.001677162029073474). Both use #1297's words byte-identically, with the same owners and dispatch. On these words, neither the #1274/#1297 two-shock helper-donor family nor exact re-timing of early reads improves the exactly optimal frames. The search covers **all 306 helper pivots read before their first B write**: #1297 searched four. #1305's idle overlay is also **exactly optimal** within the donor-star class its own verifier admits. #1324 then gained by enlarging that class to simultaneous axis swaps. No construction is proposed and no selected-record change is suggested. +**Scoped negative result.** The census uses #1297's two local words, which #1305, #1324 and #1319's T74 exact fill use byte-identically. #1305 and #1324 were later withdrawn by their author, because their idle overlays move axes across Z4 families that the retained recipes fix. On these words, neither the #1274/#1297 two-shock helper-donor family nor exact re-timing of early reads improves the frames. The surrogate optimum is certified, and revision 2 adds a rigorous true-moment bound: no candidate can lower the per-call moment at b by more than 1e-6 cost units. The search covers **all 306 helper pivots read before their first B write**; #1297 searched four. #1305's idle overlay is the exact optimum of the donor-star class its own verifier admits, which is now a statement about a withdrawn class. No construction is proposed and no selected-record change is suggested. + +Kernels in richer families were later found on these same words: #1625's pivot-566 kernel (this author) and #1672's pivot-554 kernel. Both lie outside the two families searched here, consistent with the scope below. Coordination: [discussion #1314](https://github.com/CrocSwap/integer-mult-bounds/discussions/1314) (claim and results). ## Starting point (validated) +These validations predate the withdrawal of #1305 and #1324; they are kept as historical records. + - **#1305 head `a96a5d95`** (jeremykothe2): its `verify.py` was run locally from a fresh checkout. It covers fresh native replays of both words, local controls, literal owner construction and strict global admission with the idle overlay. Result: `PASS_GLOBAL_MIXED_X54_IDLE_EXCHANGES_NATIVE_AND_STRICT_ADMISSION 0.001677162029073474` (127 s, macOS/Python 3.14, no Boost). - **#1324 head `43c19465`** (jeremykothe2, posted 22:40Z while this census ran): its `verify.py` was also run locally from a fresh checkout, with fresh native replays and strict admission. Result: `PASS_GLOBAL_MIXED_X54_IDLE_EXCHANGES_NATIVE_AND_STRICT_ADMISSION 0.001677380107853623` (156 s). The #1186 pricer reproduces this κ exactly from #1324's profile: H39=1530, H42=244, H45=1477, H48=1568, H51=6555 replace #1305's idle part. - **Independent pricing:** the #1186 `kappa.kappa(H, 37)` pricer reproduces 0.001677162029073474 from #1305's profile, and 0.001676854978651125 (#1297) without the overlay. @@ -13,24 +17,29 @@ Coordination: [discussion #1314](https://github.com/CrocSwap/integer-mult-bounds ## Searched families and results -Pricing uses the #1186 exact frame harness (PR #1186): +Pricing uses PR #1186's harness at revision 2 (head `3855fd41`): +- the auditor's static program rules; - an exact program-map screen; -- recomputed cone caps, tail-mutable optimal frames and cut equality; +- an unchanged derived compensation; +- recomputed cone caps, tail-mutable surrogate-optimal frames and cut equality; +- `audit_local` on every negative delta; - per-rank weights at b = 0.001679979627113687, which is #1305's certified complex lower endpoint. -Repricing the 61 + 292 + 803 base-word candidates at #1324's endpoint, 0.001680198439292940, gives identical verdicts and profiles. `ok` means certified optimal (integer duality gap 0). A screen rejection is exact: a dyadic map that differs modulo an odd prime differs over Q. `infeasible` means there is no legal frame assignment in the model. Both words give identical tallies. +Repricing the 61 + 292 + 803 base-word candidates at #1324's endpoint, 0.001680198439292940, gives identical verdicts and profiles. `ok` means the surrogate optimum is certified: zero integer duality gap for the floored weights `floor(2^40 · lo_r(b))`. A screen rejection is exact: a dyadic map that differs modulo an odd prime differs over Q. `infeasible` means there is no legal frame assignment in the model. Both words give identical tallies. -| Family (per word) | Pivots with matches | Candidates | Exactly neutral | Frame-infeasible | Inexact | Gains | +| Family (per word) | Pivots with matches | Candidates | Neutral (`ok`, Δ = 0) | Frame-infeasible | Inexact | Gains | |---|---:|---:|---:|---:|---:|---:| | #1297 two-shock relation, restore at end of early cleanup (`--restore tail`, the #1297 rule) | 25 | 61 | 32 | 8 | 21 | **0** | | Same relation, helper restored just before the pivot's first write (`--restore first`, exact by construction) | 43 | 292 | 52 | 240 | 0 | **0** | | Exact re-timing of early reads within the target's suffix segment (single moves to three slots plus the joint move per pivot; the 152 pivots with a positive deletion price) | — | 803 | 635 | 168 | 0 | **0** | -**Positive control.** On the control word, `census.py` reproduces #1297's five hooks for each of pivots 555 and 567, including its committed donors 620 and 628 with partners 383 and 399. Every hook is priced at −11,707 units, which is H1 −3, H3 +1: the realized #1297 kernel, worth 2.616e-7 κ over 333 calls. +**True-moment bound (revision 2).** The surrogate certificate alone does not establish true-moment optimality: each jump's floor rounding can hide up to one unit. Revision 2 therefore prices every candidate again with PR #1186 revision 2's interval certificate. Of the 1,438 neutral candidates (the `ok` rows above, both words), none can lower the per-call moment at b below the base word's frames by more than **1e-6 units**; one unit is 2^-40 of the per-call moment. The exact rational bounds are about 1e-11 units and are rounded up to the 1e-6 grid. Each of these candidates leaves the paid profile unchanged, so its realized true delta is exactly 0. Every verdict, delta and profile equals revision 1's evidence. `infeasible` and `inexact` rows involve no cost and need no bound. + +**Positive control.** On the control word, `census.py` reproduces #1297's five hooks for each of pivots 555 and 567, including its committed donors 620 and 628 with partners 383 and 399. Every hook is priced at −11,707 surrogate units, which is H1 −3, H3 +1: the realized #1297 kernel, worth 2.616e-7 κ over 333 calls. Its true realized delta is −11,707.88 units, a certified gain, and `audit_local` passes all ten hook words. **Deletion screen, a heuristic and not a bound.** `deletion.py` prices the word with every early read of one pivot deleted and no compensation. 152 pivots have a positive price. The largest are: -| Pivots | Price (units) | Notes | +| Pivots | Surrogate price (units) | Notes | |---|---:|---| | 439, 444 | −67,944 | the X=439/444 slot sites of #1195's fusions | | 438, 440 | −62,316 | | @@ -41,13 +50,18 @@ Under exact pricing, a −51,648 profile change (H1 −12, H2 +4, H3 −4, H4 +4 This is **not** an upper bound on kernels. On the control word the uncompensated deletion of 555 or 567 is frame-infeasible, yet the exact kernels are feasible and gain. Deletion changes the map-derived constraints that compensation restores. Use the screen only to choose where richer compensations are worth attempting. -**Idle overlay of #1305.** `idle_optimum.py` reruns #1305's group enumeration over 3,687 (replica, port) groups and 11,374 eligible children. Each group has at most four completely idle rank-48 non-owner children. Unlike #1305's builder, it picks axis triples by exact backtracking rather than greedily. The optimum equals #1305's selection in every group: 3,251 donors and 5,025 receivers. No size-4 group admits one donor serving three receivers, and 963 groups admit no exchange. A further idle gain therefore needed a larger class, not a better selection. #1324 supplies one: simultaneous axis reassignments inside each group, with its own operator check. Its 4-child groups reach (51,51,51,39), so this part is superseded as a frontier statement and remains a closure statement for #1305's class. +**Idle overlay of #1305 (historical: #1305 was withdrawn).** `idle_optimum.py` reruns #1305's group enumeration over 3,687 (replica, port) groups and 11,374 eligible children. Each group has at most four completely idle rank-48 non-owner children. Unlike #1305's builder, it picks axis triples by exact backtracking rather than greedily. The optimum equals #1305's selection in every group: 3,251 donors and 5,025 receivers. No size-4 group admits one donor serving three receivers, and 963 groups admit no exchange. A further idle gain therefore needed a larger class, not a better selection. #1324 supplies one: simultaneous axis reassignments inside each group, with its own operator check. Its 4-child groups reach (51,51,51,39), so this part is superseded as a frontier statement and remains a closure statement for #1305's class. ## What is and is not established -- **Established:** finite exhaustive results for the families above, on these two fixed words, in #1186's exact frame model. Census replays are exact rational arithmetic, standard library only. +- **Established:** finite exhaustive results for the families above, on these two fixed words, in #1186's frame model, at b: + - surrogate optimality certified; + - true-moment gains bounded by 1e-6 units. + + Census replays are exact rational arithmetic, standard library only. - **Not established:** - - anything about other compensation families: three or more shocks, window donors on helper readers, or cleanup-side corrections; + - exact true-moment optimality: the bound is 1e-6 units, not 0, and holds at the stated b only; + - anything about other compensation families: three or more shocks, window donors on helper readers, or cleanup-side corrections. #1625 and #1672 later found kernels in such families; - other words, other owner maps or hosting changes; - any impossibility theorem. - **Not run, since nothing is admitted:** native replay and strict admission of candidates. @@ -62,17 +76,29 @@ python3 -B research/frontier1305-kernel-census/verify.py python3 scripts/research_package.py --package research/frontier1305-kernel-census ``` -To regenerate all 16 evidence files and compare them byte for byte you need PR #1186's toolkit; this takes about 4 minutes with 14 workers: +**Coverage.** `verify.py` recounts and binds the stored evidence. It does not rerun the frame optimization or the interval certificates. `regenerate.py` reruns all of them; it needs PR #1186's toolkit at revision 2 (head `3855fd41`) and checks the toolkit's pinned `MANIFEST.json` and every file it lists. With 12 workers it takes about 10 minutes. Two consecutive regenerations reproduced `evidence/` byte for byte. Against revision 1's evidence, 8 of 15 files are byte-identical. The other 7 differ only by the added bound fields: no verdict, delta or profile changed. ```sh python3 -B research/frontier1305-kernel-census/regenerate.py \ - --toolkit /research/exact-frame-toolkit --out /absolute/new/dir --workers 14 \ + --toolkit /research/exact-frame-toolkit --out /absolute/new/dir --workers 12 \ [--idle-run <#1305 verify work dir> --idle-owners <#1305 package>/OWNERS.json.gz] ``` +## Revision 2 (2026-10-14) + +This revision answers the maintainer's review continuation point: supply a rigorous rounding or separation bound, or narrow +the optimality claim to the integer objective. + +- **Rigorous bound.** Every census and re-timing candidate is re-priced with PR #1186 revision 2's interval certificate + (`bounds.py`, `price.py`, `retime.py`). The bound and the positive control's true delta are recorded in `RESULT.json` + (`true_moment_bound`, `tallies.intervals`, `tallies.control`), and `verify.py` checks them, with a new forged-bound control. +- **Narrowed wording.** "Exactly optimal" now reads as surrogate-optimal plus the stated true-moment bound. +- **Coverage.** The distinction between the recount (`verify.py`) and the full regeneration (`regenerate.py`) is stated. +- **Frontier text.** It records the withdrawal of #1305 and #1324. + ## Open next questions -- **Do three-shock or window-donor relations exist for the high-screen pivots** (438/440 and the ten −51,648 pivots)? +- **Do three-shock or window-donor relations exist for the high-screen pivots** (438/440 and the ten −51,648 pivots)? #1625's pivot-566 and #1672's pivot-554 kernels show that such richer relations do exist on these words. - *Why it matters:* their screens are four to five times a realized kernel. The two-shock family is now exhausted on these words. - *First step:* extend `census.py`'s dictionary from output-read donor pairs to windows `x += c·q … x −= c·q` on any register x, closing before the pivot's first write. Solve d as a sparse dyadic combination of at most three terms, then price with `price.py`. - *Blocker:* each pivot has roughly 2,500 distinct suffix vectors, so the search needs support-guided enumeration rather than all triples. diff --git a/research/frontier1305-kernel-census/RESULT.json b/research/frontier1305-kernel-census/RESULT.json index 0a85c9cea8..2767610d1f 100644 --- a/research/frontier1305-kernel-census/RESULT.json +++ b/research/frontier1305-kernel-census/RESULT.json @@ -2,10 +2,13 @@ "status": "NO_GAIN_IN_SEARCHED_FAMILIES", "kappa_claim": null, "frontier": { - "highest_open_claim": "PR #1324 kappa 0.001677380107853623 (head 43c19465), same #1297 words/owners/dispatch blobs; validated locally (verify.py PASS, fresh native replays, 156 s)", - "previous": "PR #1305 kappa 0.001677162029073474 (head a96a5d95), validated locally (127 s)", - "words": "PR #1297 head 4abf710a", - "selected": "PR #1094 kappa 0.001672660197076918 (main bce54fb3)" + "note": "Updated 2026-10-14. #1305 and #1324 were withdrawn by their author: their idle overlays move axes across Z4 families that the retained recipes fix. #1297's two words are also those of #1319's T74 exact fill. Later kernels in richer families were found on them: #1625 (pivot 566, this author) and #1672 (pivot 554). Both lie outside the two families searched here.", + "words": "PR #1297 head 4abf710a (same blobs in #1305, #1324 and #1319)", + "selected": "PR #1094 kappa 0.001672660197076918 (main)", + "historical": { + "pr1324": "kappa 0.001677380107853623 (head 43c19465), withdrawn", + "pr1305": "kappa 0.001677162029073474 (head a96a5d95), withdrawn" + } }, "cost_weights_b": "0.001679979627113687 (certified complex lower endpoint of #1305 profile)", "kappa_scale": { @@ -86,6 +89,11 @@ "control": { "matches": 10, "delta": -11707, + "true_delta_units": [ + -11707.881657641952, + -11707.881657641952 + ], + "audit_local": true, "deletion": [ "infeasible", "infeasible" @@ -103,6 +111,32 @@ "improvable_groups": 0, "donors": 3251, "receivers": 5025 + }, + "intervals": { + "prices-base-tail": { + "bounded": 32, + "max_gain_units_ceil": "0.000001" + }, + "prices-base-first": { + "bounded": 52, + "max_gain_units_ceil": "0.000001" + }, + "retime-base": { + "bounded": 635, + "max_gain_units_ceil": "0.000001" + }, + "prices-extra-tail": { + "bounded": 32, + "max_gain_units_ceil": "0.000001" + }, + "prices-extra-first": { + "bounded": 52, + "max_gain_units_ceil": "0.000001" + }, + "retime-extra": { + "bounded": 635, + "max_gain_units_ceil": "0.000001" + } } }, "deletion_screen_top": [ @@ -236,5 +270,18 @@ } ], "scope": "Finite searched families on the two fixed #1297/#1305 local words: #1297 two-shock helper-donor relations (end-of-early-cleanup and before-first-write restorations) over all 306 early-read helper pivots, and exact single/joint re-timings of the early reads of the 152 pivots with a positive deletion price. Exact frame model of PR #1186 (cone caps, tail-mutable frames, cut equality). Uncompensated deletion prices are a screen, not a bound. Idle part: #1305 selection versus the exact optimum of the donor-star class admitted by its verify_idle_overlay.py. Not an impossibility theorem for other kernel families, other words or other hosting.", - "robustness": "Verdicts and profiles of all 61 + 292 + 803 base-word candidates are identical at #1324 endpoint weights b = 0.001680198439292940." + "robustness": "Verdicts and profiles of all 61 + 292 + 803 base-word candidates are identical at #1324 endpoint weights b = 0.001680198439292940.", + "true_moment_bound": { + "max_gain_units_ceil": "0.000001", + "candidates_bounded": 1438, + "statement": "No priced or re-timed candidate without a surrogate gain can lower the per-call moment at b below the base word's surrogate-optimal frames by more than 1e-6 units (one unit = 2^-40 of the per-call moment). The exact rational bounds, about 1e-11 units, are rounded up to the 1e-6 grid. Every such candidate has an unchanged paid profile, so its realized true delta is exactly 0.", + "method": "PR #1186 revision 2 Pricer(interval=True): chain-dual or exact-elimination lower bound on floor(2^224 (lo_r - lam r)) in Python integers plus lam * (rank mass), against the engines' upper bound of the base assignment", + "toolkit": { + "pr": 1186, + "head": "3855fd413a3ccfc31988033801b9648c25aee783", + "tree": "b34052ebbe42f863436c264eaadb494e20764ac3", + "manifest_sha256": "0c390838893e3170169657220bbf56132df0372f77b87059f7bb0b601971249f" + }, + "revision1_verdicts_unchanged": true + } } diff --git a/research/frontier1305-kernel-census/VERIFY.json b/research/frontier1305-kernel-census/VERIFY.json index 4dd580339a..8ae7f690a8 100644 --- a/research/frontier1305-kernel-census/VERIFY.json +++ b/research/frontier1305-kernel-census/VERIFY.json @@ -12,7 +12,7 @@ "{package}/verify.py" ], "timeout_seconds": 300, - "checks": "input SHA256/Git-blob pins; exact rational replay of all five censuses against evidence; every priced record bound to exactly one census match; evidence tallies equal RESULT.json with no negative price; positive control reproduces #1297's 5+5 hooks for pivots 555/567 at -11707; four failure controls (byte change, coefficient change, forged price, unbound edit) rejected" + "checks": "input SHA256/Git-blob pins; exact rational replay of all five censuses against evidence; every priced record bound to exactly one census match; evidence tallies equal RESULT.json with no negative price; every surrogate-optimal candidate carries PR #1186 revision 2 true-moment bounds, none above the declared 1e-6 units; positive control reproduces #1297's 5+5 hooks for pivots 555/567 at -11707 (true -11707.88, audit_local PASS); five failure controls (byte change, coefficient change, forged price, unbound edit, forged bound) rejected. Recount only: the frame optimization and interval certificates are rerun by regenerate.py, not by this command" } ] } diff --git a/research/frontier1305-kernel-census/bounds.py b/research/frontier1305-kernel-census/bounds.py new file mode 100644 index 0000000000..29ff20da86 --- /dev/null +++ b/research/frontier1305-kernel-census/bounds.py @@ -0,0 +1,24 @@ +"""bounds.py: true-moment bounds for each priced candidate, from PR #1186 revision 2's Pricer(interval=True). + +The stored fields do not depend on the platform: + realized_delta_units bounds of (H_candidate - H_base) . T(b) from the engines' exact per-rank bounds (exactly 0 for an + unchanged profile); + gain_certified the upper end of realized_delta_units is negative; + max_gain_units_ceil rigorous: no frame assignment of the candidate program has a per-call moment at b below the base + word's surrogate-optimal frames by more than this (exact rational value rounded UP to 1e-6 units); + interval_width_units_ceil width of the candidate's own true-moment interval, rounded up likewise. +One unit is 2^-40 of the per-call moment (frames.Costs).""" +import math +from fractions import Fraction as Q +GRID = 10 ** 6 +def up(x): + n = math.ceil(Q(x) * GRID); assert n >= 0 + return f"{n // GRID}.{n % GRID:06d}" +def pricer(H): + class Pricer(H.Pricer): + def compare(self, profile, iv): + out = super().compare(profile, iv); unit = 1 << self.costs.unit_bits + gain = max(Q(0), self.base_interval['upper'] - iv['lower']) * unit + return dict(realized_delta_units=list(out['realized_delta_units']), gain_certified=out['gain_certified'], + max_gain_units_ceil=up(gain), interval_width_units_ceil=up((iv['upper'] - iv['lower']) * unit)) + return Pricer diff --git a/research/frontier1305-kernel-census/evidence/PRICES-base-first.json b/research/frontier1305-kernel-census/evidence/PRICES-base-first.json index 6021ce3acf..f8c38bc528 100644 --- a/research/frontier1305-kernel-census/evidence/PRICES-base-first.json +++ b/research/frontier1305-kernel-census/evidence/PRICES-base-first.json @@ -1 +1 @@ -[{"amount": "-2", "correction": "-1/2", "cut": 98, "donor": 585, "ed": {"delete": [474], "insert": [[34, ["add", 585, 283, -1, 1, []]], [35, ["add", 585, 283, 1, 1, []]], [98, ["add", 616, 283, -2, 1, []]], [721, ["add", 616, 283, 2, 1, []]]], "prepend": [], "tail": []}, "helper": 616, "hook": 34, "output": 127, "pivot": 283, "price": {"status": "infeasible", "why": "('L not inside U at mutable vertex', 6196, 'tail')"}}, {"amount": "-2", "correction": "-1/2", "cut": 98, "donor": 617, "ed": {"delete": [474], "insert": [[103, ["add", 617, 283, -2, 1, []]], [104, ["add", 617, 283, 2, 1, []]], [98, ["add", 616, 283, -2, 1, []]], [721, ["add", 616, 283, 2, 1, []]]], "prepend": [], "tail": []}, "helper": 616, "hook": 103, "output": 127, "pivot": 283, "price": {"status": "infeasible", "why": "('L not inside U at mutable vertex', 6196, 'tail')"}}, {"amount": "-2", "correction": "-1/2", "cut": 98, "donor": 618, "ed": {"delete": [474], "insert": [[107, ["add", 618, 283, 2, 1, []]], [108, ["add", 618, 283, -2, 1, []]], [98, ["add", 616, 283, -2, 1, []]], [721, ["add", 616, 283, 2, 1, []]]], "prepend": [], "tail": []}, "helper": 616, "hook": 107, "output": 127, "pivot": 283, "price": {"status": "infeasible", "why": "('L not inside U at mutable vertex', 6196, 'tail')"}}, {"amount": "-2", "correction": "-1/2", "cut": 98, "donor": 620, "ed": {"delete": [474], "insert": [[112, ["add", 620, 283, -1, 1, []]], [113, ["add", 620, 283, 1, 1, []]], [98, ["add", 616, 283, -2, 1, []]], [721, ["add", 616, 283, 2, 1, []]]], "prepend": [], "tail": []}, "helper": 616, "hook": 112, "output": 127, "pivot": 283, "price": {"status": "infeasible", "why": "('L not inside U at mutable vertex', 6196, 'tail')"}}, {"amount": "-2", "correction": "1/2", "cut": 102, "donor": 585, "ed": {"delete": [474], "insert": [[34, ["add", 585, 283, 1, 1, []]], [35, ["add", 585, 283, -1, 1, []]], [102, ["add", 617, 283, -2, 1, []]], [721, ["add", 617, 283, 2, 1, []]]], "prepend": [], "tail": []}, "helper": 617, "hook": 34, "output": 127, "pivot": 283, "price": {"status": "infeasible", "why": "('L not inside U at mutable vertex', 6196, 'tail')"}}, {"amount": "-2", "correction": "1/2", "cut": 102, "donor": 616, "ed": {"delete": [474], "insert": [[99, ["add", 616, 283, -2, 1, []]], [100, ["add", 616, 283, 2, 1, []]], [102, ["add", 617, 283, -2, 1, []]], [721, ["add", 617, 283, 2, 1, []]]], "prepend": [], "tail": []}, "helper": 617, "hook": 99, "output": 127, "pivot": 283, "price": {"status": "infeasible", "why": "('L not inside U at mutable vertex', 6196, 'tail')"}}, {"amount": "-2", "correction": "1/2", "cut": 102, "donor": 618, "ed": {"delete": [474], "insert": [[107, ["add", 618, 283, -2, 1, []]], [108, ["add", 618, 283, 2, 1, []]], [102, ["add", 617, 283, -2, 1, []]], [721, ["add", 617, 283, 2, 1, []]]], "prepend": [], "tail": []}, "helper": 617, "hook": 107, "output": 127, "pivot": 283, "price": {"status": "infeasible", "why": "('L not inside U at mutable vertex', 6196, 'tail')"}}, {"amount": "-2", "correction": "1/2", "cut": 102, "donor": 620, "ed": {"delete": [474], "insert": [[112, ["add", 620, 283, 1, 1, []]], [113, ["add", 620, 283, -1, 1, []]], [102, ["add", 617, 283, -2, 1, []]], [721, ["add", 617, 283, 2, 1, []]]], "prepend": [], "tail": []}, "helper": 617, "hook": 112, "output": 127, "pivot": 283, "price": {"status": "infeasible", "why": "('L not inside U at mutable vertex', 6196, 'tail')"}}, {"amount": "-2", "correction": "-1/2", "cut": 106, "donor": 585, "ed": {"delete": [474], "insert": [[34, ["add", 585, 283, -1, 1, []]], [35, ["add", 585, 283, 1, 1, []]], [106, ["add", 618, 283, -2, 1, []]], [721, ["add", 618, 283, 2, 1, []]]], "prepend": [], "tail": []}, "helper": 618, "hook": 34, "output": 127, "pivot": 283, "price": {"status": "infeasible", "why": "('L not inside U at mutable vertex', 6196, 'tail')"}}, {"amount": "-2", "correction": "-1/2", "cut": 106, "donor": 616, "ed": {"delete": [474], "insert": [[99, ["add", 616, 283, 2, 1, []]], [100, ["add", 616, 283, -2, 1, []]], [106, ["add", 618, 283, -2, 1, []]], [721, ["add", 618, 283, 2, 1, []]]], "prepend": [], "tail": []}, "helper": 618, "hook": 99, "output": 127, "pivot": 283, "price": {"status": "infeasible", "why": "('L not inside U at mutable vertex', 6196, 'tail')"}}, {"amount": "-2", "correction": "-1/2", "cut": 106, "donor": 617, "ed": {"delete": [474], "insert": [[103, ["add", 617, 283, -2, 1, []]], [104, ["add", 617, 283, 2, 1, []]], [106, ["add", 618, 283, -2, 1, []]], [721, ["add", 618, 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0.0], "status": "ok"}, {"delta": null, "kind": "single", "moves": [[44, 893]], "pivot": 589, "profile": null, "status": "infeasible"}, {"delta": null, "kind": "joint-end", "moves": [[45, 897], [47, 897]], "pivot": 591, "profile": null, "status": "infeasible"}, {"delta": 0, "gain_certified": false, "interval_width_units_ceil": "0.000001", "kind": "single", "max_gain_units_ceil": "0.000001", "moves": [[45, 47]], "pivot": 591, "profile": {"1": 2338, "2": 512, "3": 418, "4": 126, "5": 82}, "realized_delta_units": [0.0, 0.0], "status": "ok"}, {"delta": 0, "gain_certified": false, "interval_width_units_ceil": "0.000001", "kind": "single", "max_gain_units_ceil": "0.000001", "moves": [[45, 471]], "pivot": 591, "profile": {"1": 2338, "2": 512, "3": 418, "4": 126, "5": 82}, "realized_delta_units": [0.0, 0.0], "status": "ok"}, {"delta": null, "kind": "single", "moves": [[45, 897]], "pivot": 591, "profile": null, "status": "infeasible"}, {"delta": 0, "gain_certified": false, "interval_width_units_ceil": "0.000001", "kind": "single", "max_gain_units_ceil": "0.000001", "moves": [[47, 49]], "pivot": 591, "profile": {"1": 2338, "2": 512, "3": 418, "4": 126, "5": 82}, "realized_delta_units": [0.0, 0.0], "status": "ok"}, {"delta": 0, "gain_certified": false, "interval_width_units_ceil": "0.000001", "kind": "single", "max_gain_units_ceil": "0.000001", "moves": [[47, 472]], "pivot": 591, "profile": {"1": 2338, "2": 512, "3": 418, "4": 126, "5": 82}, "realized_delta_units": [0.0, 0.0], "status": "ok"}, {"delta": null, "kind": "single", "moves": [[47, 897]], "pivot": 591, "profile": null, "status": "infeasible"}] \ No newline at end of file diff --git a/research/frontier1305-kernel-census/price.py b/research/frontier1305-kernel-census/price.py index edf56d5825..a37713baee 100644 --- a/research/frontier1305-kernel-census/price.py +++ b/research/frontier1305-kernel-census/price.py @@ -1,21 +1,22 @@ -"""price.py: exact frame pricing (#1186 harness: program-map screen, cone caps, tail-mutable optimal frames, cut equality) -of census matches on one word. Needs the #1186 toolkit directory (research/exact-frame-toolkit of PR #1186). +"""price.py: frame pricing of census matches on one word with PR #1186 revision 2's harness: static program rules, map screen, +unchanged derived compensation, cone caps, tail-mutable surrogate-optimal frames, cut equality, audit_local on negative +deltas, and true-moment interval bounds (bounds.py). Needs research/exact-frame-toolkit of PR #1186 (revision 2). usage: price.py TOOLKIT_DIR WORD.json.gz CENSUS.json OUT.json [--workers N]""" import argparse, json, os, resource, sys, time, multiprocessing as mp ap = argparse.ArgumentParser(); ap.add_argument('toolkit'); ap.add_argument('word'); ap.add_argument('census'); ap.add_argument('out') ap.add_argument('--workers', type=int, default=8); ap.add_argument('--check-literal', type=int, default=1); a = ap.parse_args() sys.path.insert(0, a.toolkit) -import harness as H +import harness as H, bounds P = None def init(): - global P; P = H.Pricer(a.word, check_literal=bool(a.check_literal)) + global P; P = bounds.pricer(H)(a.word, check_literal=bool(a.check_literal), interval=True) def run(m): r = P.price(m['ed'], timeout=300) if resource.getrusage(resource.RUSAGE_SELF).ru_maxrss / 1024 ** 3 > 8: r['rss_exit'] = True return dict({k: v for k, v in m.items() if k != 'ed'}, ed=m['ed'], price=r) if __name__ == '__main__': cen = json.load(open(a.census)); ms = [m for r in cen for m in r['matches']] - t0 = time.time(); init(); print('base cost', P.base_cost, 'profile', P.base_profile, f'{time.time()-t0:.1f}s', flush=True) + t0 = time.time(); init(); print('base cost', P.base_cost, 'profile', P.base_profile, 'interval width', bounds.up(P.base_interval['width_units']), f'{time.time()-t0:.1f}s', flush=True) out = [] with mp.get_context('fork').Pool(a.workers, initializer=init, maxtasksperchild=6) as pool: for n, r in enumerate(pool.imap_unordered(run, ms), 1): diff --git a/research/frontier1305-kernel-census/regenerate.py b/research/frontier1305-kernel-census/regenerate.py index c6b0807502..5f48433ece 100644 --- a/research/frontier1305-kernel-census/regenerate.py +++ b/research/frontier1305-kernel-census/regenerate.py @@ -7,12 +7,16 @@ idle_optimum.py on a completed #1305 verify run. Cost weights use IMB_B = 0.001679979627113687, the certified complex lower endpoint of #1305's profile (kappa itself is never taken from these weights). -usage: python3 -B regenerate.py --toolkit /research/exact-frame-toolkit --out NEW_DIR [--workers 12] +The toolkit must be PR #1186 revision 2 (head 3855fd41): its MANIFEST.json and every file it lists are checked first. + +usage: python3 -B regenerate.py --toolkit /research/exact-frame-toolkit --out NEW_DIR [--workers 12] [--idle-run <#1305 verify work dir> --idle-owners <#1305 package>/OWNERS.json.gz] """ -import argparse, filecmp, os, subprocess, sys, time +import argparse, filecmp, hashlib, json, os, subprocess, sys, time from pathlib import Path PKG = Path(__file__).resolve().parent +TOOLKIT = dict(pr=1186, head='3855fd413a3ccfc31988033801b9648c25aee783', tree='b34052ebbe42f863436c264eaadb494e20764ac3', + manifest_sha256='0c390838893e3170169657220bbf56132df0372f77b87059f7bb0b601971249f') IMB_B = '0.001679979627113687' WORDS = dict(base=PKG / 'inputs/BASE-WORD.json.gz', extra=PKG / 'inputs/EXTRA-WORD.json.gz', control=PKG / 'inputs/CONTROL-WORD.json.gz') ap = argparse.ArgumentParser(); ap.add_argument('--toolkit', type=Path, required=True); ap.add_argument('--out', type=Path, required=True) @@ -27,6 +31,9 @@ def run(*args): rc = subprocess.run([sys.executable, '-B', *map(str, args)], env=env, stdout=f, stderr=subprocess.STDOUT).returncode assert rc == 0, (args, log.read_text()[-3000:]); print('PASS', Path(args[0]).name, Path(str(args[-1])).name if not str(args[-1]).startswith('-') else '', f'{time.time()-t0:.0f}s', flush=True) W = str(a.workers); T = a.toolkit.resolve() +sha = lambda p: hashlib.sha256(Path(p).read_bytes()).hexdigest() +assert sha(T / 'MANIFEST.json') == TOOLKIT['manifest_sha256'], 'toolkit is not PR #1186 revision 2 (MANIFEST.json differs)' +for name, h in json.loads((T / 'MANIFEST.json').read_text()).items(): assert sha(T / name) == h, ('toolkit file drift', name) for w in ('base', 'extra'): for rule in ('tail', 'first'): run(PKG / 'census.py', WORDS[w], out / f'CENSUS-{w}-{rule}.json', '--workers', W, '--restore', rule) diff --git a/research/frontier1305-kernel-census/retime.py b/research/frontier1305-kernel-census/retime.py index fbce00122d..65442abf59 100644 --- a/research/frontier1305-kernel-census/retime.py +++ b/research/frontier1305-kernel-census/retime.py @@ -1,16 +1,17 @@ """retime.py: exact re-timing of early pivot reads. An early read g_j = (t += c*q) at B position j < first(q) may move to any position p in (j, first(q)] such that no B gate in (j, p) reads t or scales t (t's suffix effect is then unchanged) and -q is still unwritten (its value is the initial one), so the program map is unchanged exactly. Prices (exact frames, -#1186 harness): every single move to the segment end and to every intermediate slot; then, per pivot, the joint move of -all its early reads to their segment ends. usage: retime.py TOOLKIT WORD ORACLE.json OUT.json [--top N] [--workers N]""" +q is still unwritten (its value is the initial one), so the program map is unchanged exactly. Prices (PR #1186 revision 2 +harness, surrogate-optimal frames and true-moment interval bounds, bounds.py): every single move to the segment end and +to every intermediate slot; then, per pivot, the joint move of all its early reads to their segment ends. +usage: retime.py TOOLKIT WORD ORACLE.json OUT.json [--top N] [--workers N]""" import argparse, json, sys, time, multiprocessing as mp ap = argparse.ArgumentParser(); ap.add_argument('toolkit'); ap.add_argument('word'); ap.add_argument('oracle'); ap.add_argument('out') ap.add_argument('--top', type=int, default=160); ap.add_argument('--workers', type=int, default=14); a = ap.parse_args() sys.path.insert(0, a.toolkit) -import harness as H +import harness as H, bounds P = None def init(): - global P; P = H.Pricer(a.word, check_literal=True) + global P; P = bounds.pricer(H)(a.word, check_literal=True, interval=True) def segment_end(B, j, q, first): t = B[j][1]; p = j + 1 while p < first: @@ -22,7 +23,8 @@ def run(job): kind, q, moves = job ed = dict(delete=[j for j, p in moves], insert=[[p, list(P.base['B'][j][:-1]) + [[]]] for j, p in moves]) r = P.price(ed, timeout=300) - return dict(kind=kind, pivot=q, moves=moves, status=r.get('status'), delta=r.get('delta'), profile=r.get('profile')) + extra = {k: r[k] for k in ('realized_delta_units', 'gain_certified', 'max_gain_units_ceil', 'interval_width_units_ceil', 'audit') if k in r} + return dict(kind=kind, pivot=q, moves=moves, status=r.get('status'), delta=r.get('delta'), profile=r.get('profile'), **extra) if __name__ == '__main__': init(); B = P.base['B']; ora = [r for r in json.load(open(a.oracle)) if r.get('delta') is not None and r['delta'] < 0][:a.top] jobs = [] diff --git a/research/frontier1305-kernel-census/verify.py b/research/frontier1305-kernel-census/verify.py index 5abcc4f748..d4791c4a74 100644 --- a/research/frontier1305-kernel-census/verify.py +++ b/research/frontier1305-kernel-census/verify.py @@ -11,11 +11,16 @@ candidate has a negative delta (no gain); 5. positive control: on #1297's input word the census reproduces #1297's five hooks for each of pivots 555 and 567 (including its committed donors 620 and 628), each priced at the realized kernel gain -11707 (H1 -3, H3 +1); - 6. failure controls: a one-byte input change, a changed early-read coefficient, a forged negative price and a priced - edit absent from the census are each rejected at the intended check. -The exact frame prices themselves need PR #1186's toolkit; regenerate.py reruns them and compares byte-for-byte. + 6. true-moment bounds (revision 2): every priced or re-timed candidate with a surrogate optimum carries PR #1186 + revision 2's interval bounds, and none of them can lower the per-call moment at b by more than the bound declared in + RESULT.json (max_gain_units_ceil, rounded up from exact rationals); + 7. failure controls: a one-byte input change, a changed early-read coefficient, a forged negative price, a priced edit + absent from the census and a forged true-gain bound are each rejected at the intended check. +Coverage: this script recounts and binds the stored evidence; it does not rerun the frame optimization or the interval +certificates. regenerate.py reruns every price with PR #1186 revision 2 and compares the evidence byte for byte. """ import collections, copy, gzip, hashlib, json, sys +from fractions import Fraction from pathlib import Path assert __debug__, 'assertions are the checks; do not run with -O' PKG = Path(__file__).resolve().parent @@ -58,11 +63,28 @@ def price_key(r): return '%s:%s' % (r['price']['status'], r['price'].get('delta' def check_no_gain(priced, label): assert all(r['price'].get('delta') is None or r['price']['delta'] >= 0 for r in priced), 'negative price in ' + label +BOUND_FIELDS = ('realized_delta_units', 'gain_certified', 'max_gain_units_ceil', 'interval_width_units_ceil') +def check_bounds(records, get, label, declared): + """every candidate with a surrogate optimum carries the interval bounds; returns (bounded, largest possible true gain).""" + worst = Fraction(0); n = 0 + for r in records: + p = get(r) + if p.get('status') not in ('ok', 'uncertified'): continue + assert all(k in p for k in BOUND_FIELDS), 'missing interval bounds in ' + label + if p['delta'] < 0: continue + g = Fraction(p['max_gain_units_ceil']); n += 1; worst = max(worst, g) + assert g <= declared, 'possible true gain above the declared bound in ' + label + return n, worst + def main(): res = rd(PKG / 'RESULT.json'); raw = {n: (PKG / 'inputs' / n).read_bytes() for n in ('BASE-WORD.json.gz', 'EXTRA-WORD.json.gz', 'CONTROL-WORD.json.gz')} check_pins(raw) words = {k: json.loads(gzip.decompress(raw[f])) for k, f in (('base', 'BASE-WORD.json.gz'), ('extra', 'EXTRA-WORD.json.gz'), ('control', 'CONTROL-WORD.json.gz'))} - out = dict(census={}, prices={}, retime={}, deletion={}) + out = dict(census={}, prices={}, retime={}, deletion={}, intervals={}) + declared = Fraction(res['true_moment_bound']['max_gain_units_ceil']) + def bound(name, n_worst): + n = n_worst[1] * 10 ** 6; assert n.denominator == 1 + out['intervals'][name] = dict(bounded=n_worst[0], max_gain_units_ceil=f'{n.numerator // 10 ** 6}.{n.numerator % 10 ** 6:06d}') for w in ('base', 'extra'): for rule in ('tail', 'first'): name = f'{w}-{rule}'; cen = run_census(words[w], rule) @@ -70,8 +92,10 @@ def main(): priced = rd(EV / f'PRICES-{name}.json'); check_binding(cen, priced); check_no_gain(priced, name) out['census'][name] = dict(pivots=len(cen), with_matches=sum(1 for r in cen if r['matches']), matches=sum(len(r['matches']) for r in cen)) out['prices'][name] = tally(priced, price_key) + bound('prices-' + name, check_bounds(priced, lambda r: r['price'], name, declared)) rt = rd(EV / f'RETIME-{w}.json'); assert all(r['delta'] is None or r['delta'] >= 0 for r in rt), 'negative re-timing price' out['retime'][w] = tally(rt, lambda r: '%s:%s' % (r['status'], r['delta'])) + bound('retime-' + w, check_bounds(rt, lambda r: r, 'retime-' + w, declared)) dl = rd(EV / f'DELETION-{w}.json') out['deletion'][w] = dict(statuses=tally(dl, lambda r: r['status']), negative=sum(1 for r in dl if r.get('delta') is not None and r['delta'] < 0)) cen = run_census(words['control'], 'tail', [555, 567]); assert cen == rd(EV / 'CENSUS-control-tail.json'), 'control census replay differs' @@ -79,8 +103,11 @@ def main(): by = {r['pivot']: r['matches'] for r in cen} assert [len(by[555]), len(by[567])] == [5, 5] and 620 in {m['donor'] for m in by[555]} and 628 in {m['donor'] for m in by[567]}, 'control hooks' assert {m['helper'] for m in by[555]} == {383} and {m['helper'] for m in by[567]} == {399}, 'control partners' - assert all(r['price'] == dict(status='ok', delta=-11707, profile={'1': 2349, '2': 504, '3': 413, '4': 130, '5': 82}) for r in priced), 'control prices' - out['control'] = dict(matches=len(priced), delta=-11707, deletion=[r['status'] for r in rd(EV / 'DELETION-control.json')]) + assert all({k: r['price'][k] for k in ('status', 'delta', 'profile')} == dict(status='ok', delta=-11707, profile={'1': 2349, '2': 504, '3': 413, '4': 130, '5': 82}) + and r['price']['audit'] is True and r['price']['gain_certified'] is True for r in priced), 'control prices' + true = sorted({tuple(r['price']['realized_delta_units']) for r in priced}); assert len(true) == 1 and true[0][1] < 0, 'control true delta' + out['control'] = dict(matches=len(priced), delta=-11707, true_delta_units=list(true[0]), audit_local=True, + deletion=[r['status'] for r in rd(EV / 'DELETION-control.json')]) idle = rd(EV / 'IDLE-OPTIMUM-1305.json') assert idle['status'] == 'PASS_1305_IDLE_SELECTION_EQUALS_EXACT_GROUP_OPTIMUM' and idle['improvable_groups'] == 0 assert all(s['current'] == s['optimum'] for s in idle['shapes']) and sum(s['groups'] for s in idle['shapes']) == idle['groups'] @@ -104,6 +131,8 @@ def mutated(): expect(lambda: check_no_gain(forged, 'forged'), 'negative price', 'forged negative price') moved = copy.deepcopy(rd(EV / 'PRICES-base-tail.json')); moved[0]['ed']['insert'][2][0] += 1 expect(lambda: check_binding(rd(EV / 'CENSUS-base-tail.json'), moved), 'exactly the census matches', 'priced edit absent from census') + loose = copy.deepcopy(rd(EV / 'RETIME-base.json')); next(r for r in loose if r['status'] == 'ok')['max_gain_units_ceil'] = '1.000000' + expect(lambda: check_bounds(loose, lambda r: r, 'forged', declared), 'above the declared bound', 'forged true-gain bound') print(json.dumps(dict(status='PASS_FRONTIER1305_KERNEL_CENSUS_NO_GAIN', tallies=out, controls_rejected=sorted(rejected)), indent=2)) if __name__ == '__main__': From c9da5f270d6a10f571a65cb3449230bdcc76df32 Mon Sep 17 00:00:00 2001 From: Marius-Paul Dumitrean Date: Wed, 14 Oct 2026 19:17:02 -0400 Subject: [PATCH 3/3] Census revision 3: follow #1186 revision 3 (portable toolkit) - regenerate.py pins PR #1186 revision 3 (head c37dfb07, MANIFEST 658331a6); the pricing code is revision 2's. - deletion.py uses the toolkit's compat.deadline/Timeout instead of the harness's private SIGALRM handler, which revision 3 removed. - verify.py and regenerate.py refuse to run under -O (verify.py's guard was an assert, which -O strips; regenerate.py had none). - A fresh regeneration with revision 3 reproduces all 16 evidence files byte for byte; RESULT.json changes only in its toolkit pin. --- research/frontier1305-kernel-census/NOTICE.md | 2 ++ research/frontier1305-kernel-census/README.md | 20 ++++++++++++++++--- .../frontier1305-kernel-census/RESULT.json | 14 +++++++++---- .../frontier1305-kernel-census/deletion.py | 14 ++++++------- research/frontier1305-kernel-census/price.py | 2 +- .../frontier1305-kernel-census/regenerate.py | 13 +++++++----- research/frontier1305-kernel-census/verify.py | 5 +++-- 7 files changed, 48 insertions(+), 22 deletions(-) diff --git a/research/frontier1305-kernel-census/NOTICE.md b/research/frontier1305-kernel-census/NOTICE.md index 7eb1ec7713..5450afc5da 100644 --- a/research/frontier1305-kernel-census/NOTICE.md +++ b/research/frontier1305-kernel-census/NOTICE.md @@ -15,3 +15,5 @@ pricing harness of PR #1186 (research/exact-frame-toolkit), which is not vendore New files: Marius-Paul Dumitrean, Apache-2.0, prepared with substantial AI assistance (Anthropic Claude, via Claude Code). Revision 2 (2026-10-14) answers the maintainer's review continuation point on #1337 (Mister-Meeseeks, [batch review](https://github.com/CrocSwap/integer-mult-bounds/blob/main/docs/research/community-efficient400-review.md)). It re-prices the evidence with PR #1186 revision 2's true-moment interval certificate (head 3855fd41). Prepared with substantial AI assistance (Anthropic Claude, via Claude Code). + +Revision 3 (2026-10-14) re-pins `regenerate.py` to PR #1186 revision 3 (head c37dfb07) and moves `deletion.py` to that toolkit's `compat.deadline`; the evidence is unchanged. Prepared with substantial AI assistance (Anthropic Claude, via Claude Code). diff --git a/research/frontier1305-kernel-census/README.md b/research/frontier1305-kernel-census/README.md index 69d93ef376..167a52df55 100644 --- a/research/frontier1305-kernel-census/README.md +++ b/research/frontier1305-kernel-census/README.md @@ -17,7 +17,7 @@ These validations predate the withdrawal of #1305 and #1324; they are kept as hi ## Searched families and results -Pricing uses PR #1186's harness at revision 2 (head `3855fd41`): +Pricing uses PR #1186's harness, pinned at revision 3 (head `c37dfb07`; its pricing code is revision 2's, `3855fd41`): - the auditor's static program rules; - an exact program-map screen; - an unchanged derived compensation; @@ -76,11 +76,11 @@ python3 -B research/frontier1305-kernel-census/verify.py python3 scripts/research_package.py --package research/frontier1305-kernel-census ``` -**Coverage.** `verify.py` recounts and binds the stored evidence. It does not rerun the frame optimization or the interval certificates. `regenerate.py` reruns all of them; it needs PR #1186's toolkit at revision 2 (head `3855fd41`) and checks the toolkit's pinned `MANIFEST.json` and every file it lists. With 12 workers it takes about 10 minutes. Two consecutive regenerations reproduced `evidence/` byte for byte. Against revision 1's evidence, 8 of 15 files are byte-identical. The other 7 differ only by the added bound fields: no verdict, delta or profile changed. +**Coverage.** `verify.py` recounts and binds the stored evidence. It does not rerun the frame optimization or the interval certificates. `regenerate.py` reruns all of them; it needs PR #1186's toolkit at revision 3 (head `c37dfb07`) and checks the toolkit's pinned `MANIFEST.json` and every file it lists. With 12 workers it takes about 10 minutes. Two consecutive regenerations reproduced `evidence/` byte for byte. Against revision 1's evidence, 8 of 15 files are byte-identical. The other 7 differ only by the added bound fields: no verdict, delta or profile changed. ```sh python3 -B research/frontier1305-kernel-census/regenerate.py \ - --toolkit /research/exact-frame-toolkit --out /absolute/new/dir --workers 12 \ + --toolkit /research/exact-frame-toolkit --out /absolute/new/dir --workers 12 \ [--idle-run <#1305 verify work dir> --idle-owners <#1305 package>/OWNERS.json.gz] ``` @@ -96,6 +96,20 @@ the optimality claim to the integer objective. - **Coverage.** The distinction between the recount (`verify.py`) and the full regeneration (`regenerate.py`) is stated. - **Frontier text.** It records the withdrawal of #1305 and #1324. +## Revision 3 (2026-10-14) + +PR #1186 revision 3 (head `c37dfb07`) made the toolkit portable. It changed only timeouts, memory readings, the worker +start method and text encoding; `frames.py` and the pricing code are unchanged. This revision follows it, so that +`regenerate.py` keeps working if #1186 merges as is. + +- `regenerate.py` now pins revision 3's `MANIFEST.json`. +- `deletion.py` used the harness's private SIGALRM handler, which revision 3 replaced with `compat.deadline`. It now + uses `deadline` and `Timeout` from the toolkit's `compat.py`. +- `verify.py` and `regenerate.py` now refuse to run under `-O`. Before, `verify.py`'s guard was itself an `assert`, + which `-O` strips, and `regenerate.py` had none. +- A fresh regeneration with revision 3 (12 workers, about 8 minutes) reproduced all 16 evidence files byte for + byte. No verdict, price, bound or tally changes; `RESULT.json` changes only in its toolkit pin. + ## Open next questions - **Do three-shock or window-donor relations exist for the high-screen pivots** (438/440 and the ten −51,648 pivots)? #1625's pivot-566 and #1672's pivot-554 kernels show that such richer relations do exist on these words. diff --git a/research/frontier1305-kernel-census/RESULT.json b/research/frontier1305-kernel-census/RESULT.json index 2767610d1f..8a48132008 100644 --- a/research/frontier1305-kernel-census/RESULT.json +++ b/research/frontier1305-kernel-census/RESULT.json @@ -278,10 +278,16 @@ "method": "PR #1186 revision 2 Pricer(interval=True): chain-dual or exact-elimination lower bound on floor(2^224 (lo_r - lam r)) in Python integers plus lam * (rank mass), against the engines' upper bound of the base assignment", "toolkit": { "pr": 1186, - "head": "3855fd413a3ccfc31988033801b9648c25aee783", - "tree": "b34052ebbe42f863436c264eaadb494e20764ac3", - "manifest_sha256": "0c390838893e3170169657220bbf56132df0372f77b87059f7bb0b601971249f" + "head": "c37dfb077ad77ef391cefa56c98db87a40b7e28c", + "tree": "389ebe11c44f6aa58fd026d84ebfa79d4afe69be", + "manifest_sha256": "658331a6f03d1ca4eb0ae7f186b0da2aa694d70619af3c83a77e051cca85fd8e" }, - "revision1_verdicts_unchanged": true + "revision1_verdicts_unchanged": true, + "earlier_toolkit": { + "pr": 1186, + "head": "3855fd413a3ccfc31988033801b9648c25aee783", + "manifest_sha256": "0c390838893e3170169657220bbf56132df0372f77b87059f7bb0b601971249f", + "evidence": "byte-identical (revision 2 of this package)" + } } } diff --git a/research/frontier1305-kernel-census/deletion.py b/research/frontier1305-kernel-census/deletion.py index 51e1c256ed..61a782f47d 100644 --- a/research/frontier1305-kernel-census/deletion.py +++ b/research/frontier1305-kernel-census/deletion.py @@ -4,13 +4,14 @@ keeps the remaining frame structure ONLY when the deletion leaves the map-derived constraints (cone caps, cut equality) unchanged; it does not in general: on #1297's input word the uncompensated deletion of pivot 555/567 is frame-infeasible while the exact kernels gain. usage: deletion.py TOOLKIT WORD OUT [--workers N]""" -import argparse, json, signal, sys, time, multiprocessing as mp +import argparse, json, sys, time, multiprocessing as mp ap = argparse.ArgumentParser(); ap.add_argument('toolkit'); ap.add_argument('word'); ap.add_argument('out'); ap.add_argument('--workers', type=int, default=12) ap.add_argument('--pivots', nargs='*', type=int); a = ap.parse_args() sys.path.insert(0, a.toolkit) import harness as H, frames as F from word import inline from model import cone_caps +from compat import Timeout, deadline P = None def init(): global P; P = H.Pricer(a.word, check_literal=True) @@ -18,16 +19,15 @@ def run(q): w = P.base; B = w['B']; first = next((i for i, g in enumerate(B) if g[1] == q), len(B)) dele = [i for i in range(first) if B[i][0] == 'add' and B[i][2] == q] w1 = H.compile_edits(w, dict(delete=dele)) - signal.signal(signal.SIGALRM, H._alarm); signal.alarm(300) try: - caps, comp = cone_caps(w1) - g = F.Graph(inline(w1, True), check_literal=False, tail_mutable=True, caps=caps, cut_equality=True) - r = F.optimal_frames(inline(w1, True), P.costs, check_literal=False, graph=g) + with deadline(300): + caps, comp = cone_caps(w1) + g = F.Graph(inline(w1, True), check_literal=False, tail_mutable=True, caps=caps, cut_equality=True) + r = F.optimal_frames(inline(w1, True), P.costs, check_literal=False, graph=g) res = dict(status='ok' if r['certified'] else 'uncertified', delta=r['cost'] - P.base_cost, profile=dict(sorted(r['profile'].items()))) except F.Infeasible as e: res = dict(status='infeasible') - except H.Timeout: res = dict(status='timeout') + except Timeout: res = dict(status='timeout') except ValueError as e: res = dict(status='error:' + str(e)[:60]) - finally: signal.alarm(0) return dict(pivot=q, early=len(dele), targets=[B[i][1] for i in dele], **res) if __name__ == '__main__': init(); B = P.base['B']; first = {} diff --git a/research/frontier1305-kernel-census/price.py b/research/frontier1305-kernel-census/price.py index a37713baee..388829afb6 100644 --- a/research/frontier1305-kernel-census/price.py +++ b/research/frontier1305-kernel-census/price.py @@ -1,6 +1,6 @@ """price.py: frame pricing of census matches on one word with PR #1186 revision 2's harness: static program rules, map screen, unchanged derived compensation, cone caps, tail-mutable surrogate-optimal frames, cut equality, audit_local on negative -deltas, and true-moment interval bounds (bounds.py). Needs research/exact-frame-toolkit of PR #1186 (revision 2). +deltas, and true-moment interval bounds (bounds.py). Needs research/exact-frame-toolkit of PR #1186 (revision 3, pinned by regenerate.py). usage: price.py TOOLKIT_DIR WORD.json.gz CENSUS.json OUT.json [--workers N]""" import argparse, json, os, resource, sys, time, multiprocessing as mp ap = argparse.ArgumentParser(); ap.add_argument('toolkit'); ap.add_argument('word'); ap.add_argument('census'); ap.add_argument('out') diff --git a/research/frontier1305-kernel-census/regenerate.py b/research/frontier1305-kernel-census/regenerate.py index 5f48433ece..4a296bf604 100644 --- a/research/frontier1305-kernel-census/regenerate.py +++ b/research/frontier1305-kernel-census/regenerate.py @@ -7,16 +7,19 @@ idle_optimum.py on a completed #1305 verify run. Cost weights use IMB_B = 0.001679979627113687, the certified complex lower endpoint of #1305's profile (kappa itself is never taken from these weights). -The toolkit must be PR #1186 revision 2 (head 3855fd41): its MANIFEST.json and every file it lists are checked first. +The toolkit must be PR #1186 revision 3 (head c37dfb07): its MANIFEST.json and every file it lists are checked first. +Revision 3 changed only the toolkit's portability layer; frames.py and the pricing and interval code are revision 2's. -usage: python3 -B regenerate.py --toolkit /research/exact-frame-toolkit --out NEW_DIR [--workers 12] +usage: python3 -B regenerate.py --toolkit /research/exact-frame-toolkit --out NEW_DIR [--workers 12] [--idle-run <#1305 verify work dir> --idle-owners <#1305 package>/OWNERS.json.gz] """ import argparse, filecmp, hashlib, json, os, subprocess, sys, time from pathlib import Path PKG = Path(__file__).resolve().parent -TOOLKIT = dict(pr=1186, head='3855fd413a3ccfc31988033801b9648c25aee783', tree='b34052ebbe42f863436c264eaadb494e20764ac3', - manifest_sha256='0c390838893e3170169657220bbf56132df0372f77b87059f7bb0b601971249f') +if not __debug__: + raise SystemExit('regenerate.py: run without -O; its assert statements are the pin and exit-code checks') +TOOLKIT = dict(pr=1186, head='c37dfb077ad77ef391cefa56c98db87a40b7e28c', tree='389ebe11c44f6aa58fd026d84ebfa79d4afe69be', + manifest_sha256='658331a6f03d1ca4eb0ae7f186b0da2aa694d70619af3c83a77e051cca85fd8e') IMB_B = '0.001679979627113687' WORDS = dict(base=PKG / 'inputs/BASE-WORD.json.gz', extra=PKG / 'inputs/EXTRA-WORD.json.gz', control=PKG / 'inputs/CONTROL-WORD.json.gz') ap = argparse.ArgumentParser(); ap.add_argument('--toolkit', type=Path, required=True); ap.add_argument('--out', type=Path, required=True) @@ -32,7 +35,7 @@ def run(*args): assert rc == 0, (args, log.read_text()[-3000:]); print('PASS', Path(args[0]).name, Path(str(args[-1])).name if not str(args[-1]).startswith('-') else '', f'{time.time()-t0:.0f}s', flush=True) W = str(a.workers); T = a.toolkit.resolve() sha = lambda p: hashlib.sha256(Path(p).read_bytes()).hexdigest() -assert sha(T / 'MANIFEST.json') == TOOLKIT['manifest_sha256'], 'toolkit is not PR #1186 revision 2 (MANIFEST.json differs)' +assert sha(T / 'MANIFEST.json') == TOOLKIT['manifest_sha256'], 'toolkit is not PR #1186 revision 3 (MANIFEST.json differs)' for name, h in json.loads((T / 'MANIFEST.json').read_text()).items(): assert sha(T / name) == h, ('toolkit file drift', name) for w in ('base', 'extra'): for rule in ('tail', 'first'): diff --git a/research/frontier1305-kernel-census/verify.py b/research/frontier1305-kernel-census/verify.py index d4791c4a74..c150173403 100644 --- a/research/frontier1305-kernel-census/verify.py +++ b/research/frontier1305-kernel-census/verify.py @@ -17,12 +17,13 @@ 7. failure controls: a one-byte input change, a changed early-read coefficient, a forged negative price, a priced edit absent from the census and a forged true-gain bound are each rejected at the intended check. Coverage: this script recounts and binds the stored evidence; it does not rerun the frame optimization or the interval -certificates. regenerate.py reruns every price with PR #1186 revision 2 and compares the evidence byte for byte. +certificates. regenerate.py reruns every price with PR #1186 revision 3 and compares the evidence byte for byte. """ import collections, copy, gzip, hashlib, json, sys from fractions import Fraction from pathlib import Path -assert __debug__, 'assertions are the checks; do not run with -O' +if not __debug__: + raise SystemExit('verify.py: assertions are the checks; do not run with -O') PKG = Path(__file__).resolve().parent sys.path.insert(0, str(PKG)) import census # noqa: E402