From f20a68b4b126780419c292571411022bb1d006d6 Mon Sep 17 00:00:00 2001 From: DominikScholz Date: Mon, 12 Oct 2026 10:22:33 +0200 Subject: [PATCH 1/7] feat(research): raise conditional kappa with width-seven providers --- research/larger-gain/NOTICE | 25 + research/larger-gain/README.md | 163 + research/larger-gain/STATE.json | 33 + .../baseline564/ASSEMBLY-CONTROLS.json | 86 + .../larger-gain/baseline564/ASSEMBLY.json | 330 + .../larger-gain/baseline564/ASYNC-AUDIT.json | 80 + .../larger-gain/baseline564/BASELINE.json | 244 + .../EIGHT-KERNEL-CONSTRUCTION.json | 39 + .../EIGHT-KERNEL-OMISSION-CONTROLS.json | 56 + .../baseline564/EIGHT-PHASE-REVIEW.json | 20 + .../baseline564/FOUR-KERNEL-CONSTRUCTION.json | 39 + .../FOUR-KERNEL-OMISSION-CONTROLS.json | 56 + .../baseline564/FOUR-PHASE-REVIEW.json | 20 + .../baseline564/FOUR-SCALAR-CONTROLS.json | 16 + .../baseline564/OWNERS-AND-PROFILE.json | 58 + .../baseline564/PHASE-TIMING-CONTROLS.json | 17 + .../baseline564/PREFIX-AND-INVOICE.json | 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research/larger-gain/providers/words/zero/FULL-WORD.json.gz create mode 100644 research/larger-gain/stages/fourcold-mixed-screen/COMPLETE.json create mode 100644 research/larger-gain/stages/fourcold-mixed-screen/K2.json create mode 100644 research/larger-gain/stages/fourcold-mixed-screen/K3.json create mode 100644 research/larger-gain/stages/fourcold-mixed-screen/K4.json create mode 100644 research/larger-gain/stages/fourcold-mixed-screen/K5.json create mode 100644 research/larger-gain/stages/fourcold-mixed-screen/K6.json create mode 100644 research/larger-gain/stages/fourcold-mixed-screen/K7.json create mode 100644 research/larger-gain/stages/fourcold-mixed-screen/SOURCE.json create mode 100644 research/larger-gain/stages/screen_stages.py diff --git a/research/larger-gain/NOTICE b/research/larger-gain/NOTICE new file mode 100644 index 0000000000..b1a419f563 --- /dev/null +++ b/research/larger-gain/NOTICE @@ -0,0 +1,25 @@ +Larger-gain research, prepared for Dominik with substantial OpenAI Codex +(GPT-6 Astra) assistance, October 2026. New material is provided under the +repository's Apache-2.0 license. + +This directory builds on PR564 at c18417b02b80594b2ca1c8c21185d28befafc935 +and its inherited complex-allcold package. Its upstream construction, +provider, compiler, exact arithmetic, scheduling and bit-supplier notices +remain applicable. The repository NOTICE and the notices in the unchanged +research/complex-allcold, research/direct-delivery504-global and referenced +vendor packages are retained and incorporated by reference. + +The current work contributes extra checked suffix kernels, coupled entrance +frame promotions, whole-owner repacking, exact dual exclusions for finite +capacity and stage models, bounded geometry/architecture screens and +hypothetical cost-sensitivity targets. Source copies preserve their original +headers; adaptation manifests distinguish unchanged and modified files. +The stage nomination screen derives from Rohan Arun's retained complex501 +stage search. Provider frame and word routines retain the credited work of +DreamingOfClouds, icekylinx and their cited contributors, including the +earlier scalar, phase, frame, gauge, kernel and dirty-restoration ancestry. + +No priority claim is made for inherited constructions, the capacity-pattern +LP used in PR563, or graph minrank/product methods. Exact finite checks and +model-specific dual bounds are not an unconditional multiplication theorem, +a full Lean proof, or a worst-case constant-time indexing result. diff --git a/research/larger-gain/README.md b/research/larger-gain/README.md new file mode 100644 index 0000000000..e4e5648d51 --- /dev/null +++ b/research/larger-gain/README.md @@ -0,0 +1,163 @@ +# Larger-gain research after PR564 + +The new direction is to create residual helpers of width seven, which can +share a rank-sixteen owner with a width-nine helper. The current width-eight +helpers cannot make that exact pair. Thirty-two coordinated entrance-frame +promotions per selected call create this option while preserving the scalar +program. This changes the available packing patterns, rather than extending +the already saturated width-five-to-four promotion family. + +The frozen literal nomination uses 63 width-seven providers and nine ordinary +four-cold providers. Its complete profile has native rate +`b = 0.001602631813774414678548` and nominal grid value +`kappa = 0.001600067494703216`, about 0.4352% above PR564. Full global admission +passes: physical chronology and all sixteen owner mutations, the complete +finite invoice, both exact moment engines, all 47 outer constraints for each +model, and rejection of all 89 invalid assembly variants. The conservative +model also passes at `kappa = 0.001600067491919801`. See the +[frozen result and artifact bindings](global/width7/RESULT.json). + +The separately completed four-cold fallback is already fully admitted at +`kappa = 0.001593675235313849`, a 0.03396% gain. See its +[result and artifact bindings](global/fourcold/RESULT.json) and the +[independent adapter review](geometry/FOUR-COLD-SEAM-REVIEW.md). + +## Latest state and scope + +Research ran in an isolated checkout based on PR564. Publication is based on +main and includes only this package; PR564 is an explicit external dependency. The +repository has an `origin` remote; its main branch and PRs through 566 were +fetched. The [state record](STATE.json) pins every inspected head: + +- `origin/main`: `db0e57bc7f36b5ac0fc844ad7ce1396165ee6647`. +- [PR564](https://github.com/CrocSwap/integer-mult-bounds/pull/564): + `c18417b02b80594b2ca1c8c21185d28befafc935`, numerical baseline + `kappa = 0.001593134158181640`. +- [PR565](https://github.com/CrocSwap/integer-mult-bounds/pull/565) and + [PR566](https://github.com/CrocSwap/integer-mult-bounds/pull/566) add formal + compact counting and input preparation. PR566 reports a concrete six-tape + composition with bound `22n+17`. These are not a higher kappa or a general + worst-case constant-time indexing theorem. + +The complete unchanged PR564 verifier was freshly run: all 36 stages passed, +including its providers, phases, physical owners, finite invoice, two moment +engines and outer assembly. Source hashes, receipts and the stage log are +retained in [baseline564](baseline564/BASELINE.json). + +Every new numerical result here has the same conditional finite-construction +boundary as the inherited package. All-size compilation, common labels and +mutable bases, normalized residual realization, correlated whole-call +hosting, precision/tape and analytic transfer remain assumptions. No +unconditional multiplication theorem, complete Lean proof, or general O(1) +indexing theorem is claimed. + +## What changed locally + +Three additional exact suffix relations reduce three width-nine helpers to +width eight in each zero-, four- and eight-promotion provider. Their combined +paid change is `3 H1 + 6 H2 - 6 H3`. The relations were reconstructed for each +provider: copying the same insertion cuts blindly was invalid. The actual +words, all-column scalar checks, dirty-helper restoration, omitted-kernel +controls and phase recipes are retained under [providers](providers/README.md). + +Next, 32 entrance-frame promotions create width-seven helpers. Their combined +paid change is `32 H1 + 160 H2 - 128 H3`. The fully checked eight-promotion +provider therefore has local profile + +```text +H = {1:2352, 2:592, 3:328, 4:192, 5:56, 6:56, 8:8} +helper widths = {4:8, 5:48, 7:32, 8:128, 9:288} +``` + +All three versions passed 728 columns in both orientations, exact restoration, +native frames, eleven local negative controls, 3005 phase edges and 224 +endpoint adapters. Their source-bound bundles are in +[providers/width7](providers/width7/). + +The packing search must respect complete helper ownership. A width-count +solution initially failed literal expansion because it demanded incompatible +shared owners from the same invocation. Additional subset constraints excluded +that solution. The retained nominee checks actual invocation windows, whole +owners, distinct roles and disjoint prefixes. + +## Exact bounds that keep the search focused + +The strongest negative result is an exact dual certificate for the current +PR564 providers. Within its present capacities and live stock, no repacking, +provider remix or finite cloning can reach the next `10^-18` kappa grid point. +The proof enumerates every 4/5/8/9 pattern in capacities 8/16/32/48, relaxes +integrality and chronology, and checks the resulting 548 dual inequalities +with two independent rational engines. See +[the proof and scope](patterns/PROOF.md). + +Additional width-five-to-four promotions are affine continuations of the +existing cost/inventory family. Forty more pass local checks but do not +improve the four-cold capacity ceiling. Width-seven promotions change that +conclusion by introducing new bin patterns. The exact upper bound for the +32-promotion family is approximately `0.001600564129863655`. Combining it +with forty more width-four promotions raises the relaxed upper bound only to +`0.001600616266460206`. Neither is an admitted result: these deliberately +ignore physical conflicts. All sixty available width-seven promotions also +passed local checks, but their additional cost yields no further relaxed gain. + +The larger alphabet was also tested at five, seven, nine and eleven stages, +allowing arbitrary fractional provider mixtures, all mixed-width auxiliary +banks, and no chronology conflicts. Exact upper bounds are approximately: + +| Stages | Dimension | Kappa upper bound | +| --- | ---: | ---: | +| 5 | 41 | 0.001395406 | +| 7 | 57 | 0.001577285 | +| 9 | 73 | 0.001600617 | +| 11 | 89 | 0.001554605 | + +These are rounded upward for display. The nine-stage optimum uses no banks. +The other stage counts remain below PR564 even in this enlarged model. +The [stage proof, exact receipts and reproduction commands](geometry/README.md) +describe the padding and provider assumptions; these are not universal bounds +over every possible local construction. + +## Where a materially larger gain could come from + +The next useful target is the local packet factory, especially expensive +helper paths. An exact sensitivity experiment removes each candidate's actual +paid frame path and residual demand, with all other costs retained. Under the +optimistic assumption that a new word replaces that work for free, saving six +selected helper paths per call crosses a 1% target; saving 32 crosses 5%. +This identifies the cost budget a new construction must beat. It does not +show that the existing helpers are removable. See the measured paths and +adjacent exact threshold checks in [HELPER-TARGETS.md](geometry/HELPER-TARGETS.md). + +The 5% target would also outgrow the currently composed PR543 bit supplier. +[PR555](https://github.com/CrocSwap/integer-mult-bounds/pull/555) already reports +bit rate `0.001733052823330162099157`, enough headroom in principle; its +source-bound replay and new composition were not performed here. + +Several structural shortcuts were checked and failed within explicit scopes: +lossless binary dimension reduction, hyperplane puncturing, seven-center +decoding with too few deletions, retaining 120 ports at the old center bill, +literal tensor lifts, direct clone-free ordinary packet reads, and a full +tetrahedron Walsh output basis with unchanged packets. The geometry and +provider notes retain exact receipts and explain what each test leaves open. +In particular, a joint packet refactorization, a sparse mixed output basis, +or joint reselection of entrance kernel/gauge bases remains a substantive +direction beyond the affine local promotions tried here. + +## Verification and attribution + +The exact capacity exclusions can be replayed without SciPy: + +```sh +python3 -B research/larger-gain/patterns/verify_ceiling_controls.py +``` + +This checks every retained capacity dual and rejects deliberately corrupted +source pins, potentials, dimensions, rates and signs. The stage receipts have +their separate standard-library verifier. SciPy nominates solutions only; +exact rational checks establish the stated exclusions. + +The new providers preserve their source credits and immutable input hashes. +Modified global adapters retain the complete invoice and all inherited +guards; the patch and source/adapted hashes are included. See [NOTICE](NOTICE). +Prepared with substantial OpenAI Codex assistance. The publication adds only this research package; its PR564 dependency is +external and pinned. No upstream scientific package was modified. diff --git a/research/larger-gain/STATE.json b/research/larger-gain/STATE.json new file mode 100644 index 0000000000..4fa2a9a985 --- /dev/null +++ b/research/larger-gain/STATE.json @@ -0,0 +1,33 @@ +{ + "recorded_utc": "2026-10-12T08:08:13.481822+00:00", + "base": "origin/pr-564", + "remote": "origin", + "pins": [ + { + "ref": "origin/main", + "commit": "db0e57bc7f36b5ac0fc844ad7ce1396165ee6647", + "pr": null, + "url": "https://github.com/CrocSwap/integer-mult-bounds" + }, + { + "ref": "origin/pr-564", + "commit": "c18417b02b80594b2ca1c8c21185d28befafc935", + "pr": 564, + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/564" + }, + { + "ref": "origin/pr-565", + "commit": "890b2906ebb76b3c9392a08d64e933630c06b1ac", + "pr": 565, + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/565" + }, + { + "ref": "origin/pr-566", + "commit": "86d39f3247a5a1df4f040ed71d8251bed77b91ec", + "pr": 566, + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/566" + } + ], + "scope": "Latest PR check through566. PR565 and566 advance linear-time formal counting/preparation, not numerical kappa or worst-case constant-time indexing. PR564 supplies the numerical baseline; current upstream main remains separately pinned.", + "original_checkout_preserved": true +} diff --git a/research/larger-gain/baseline564/ASSEMBLY-CONTROLS.json b/research/larger-gain/baseline564/ASSEMBLY-CONTROLS.json new file mode 100644 index 0000000000..b8eab6e320 --- /dev/null +++ b/research/larger-gain/baseline564/ASSEMBLY-CONTROLS.json @@ -0,0 +1,86 @@ +{ + "status": "PASS_EXACT_MIXED_048_ALLCOLD_NATIVE_ASSEMBLY_ADMISSION_NEGATIVE_CONTROLS", + "valid_receipt_kappa": "39828353954541/25000000000000000", + "input_sha256": { + "owner_audit": "f3a87cfc5751171116f6b548b892b581a3ee6545d9ff3c6dcb15a516b0580696", + "fresh_invoice": "e90c2b218b7afd6b641a01d833dc1783bab6b35bf4cd82c8f5881bc73b0c4d53", + "inputs/PR543-EXPECTED.json": "06eccee9f6b77e140833df83407e7996dc948c17d49b0779ab171fbe463fd28d", + "engines/moment.py": "81cbc864e106418fc7854322746f72180cb8110ff39f74450a3b8d55a82c1482", + "engines/base_two_moment.py": "aee70c242a2f1d225528fabe2002e1564d1dc884797c07d28a831c7878ee9098", + "engines/outer.py": "c1ebb52163a7219504c728a5c2b098bf1e50bf20148a2879c5a74c3cadc7c03c" + }, + "assembler_sha256": "0d0c482e2d3ab32e37c2ae05062786e28b792a4ce6c7324a1de529207651e823", + "rejected_controls": [ + "empty_certification_maps", + "missing_provider_backward_orientation", + "failed_invoice_status", + "nonboolean_precision_check", + "wrong_owner_role_count", + "understated_physical_stock", + "changed_profile_same_rank_mass", + "insufficient_finite_C0", + "unpaid_scalar_primitive", + "wrong_local_artifact_binding", + "false_dirty_restoration", + "missing_finite_check", + "width_inventory_wrong_same_total", + "width_order_wrong_same_inventory", + "compensating_false_provider_profiles", + "wrong_reflected_orientation_selfconsistent_totals", + "forged_provider_and_call_program_hash", + "four_provider_at_wrong_call", + "wrong_declared_provider_count", + "missing_selected_call", + "wrong_selected_primitive_sum", + "wrong_selected_coefficient_work_sum", + "unpaid_wrapper_factors", + "wrong_local_compiler", + "wrong_global_compiler", + "wrong_local_adapter_charge", + "wrong_global_adapter_maximum", + "wrong_local_primitive_bound", + "understated_exact_prefix_and_global_sum", + "wrong_global_prefix_sum", + "wrong_row_prefix_reserve", + "wrong_parent_geometry_charge", + "wrong_rebased_geometry_charge", + "wrong_complete_pervertex_envelope", + "wrong_prior_added_complete_invoice", + "wrong_finite_router_bits", + "wrong_finite_literal_bits", + "wrong_finite_physical_stock_bits", + "wrong_finite_row_coefficient", + "missing_zero_provider", + "missing_eight_provider_backward", + "stale_zero_program_and_consistent_selected_hashes", + "stale_zero_profile_with_consistent_child_total", + "reordered_complete_calls", + "relocated_four_and_eight_providers_same_counts", + "four_provider_widths_permuted_same_inventory", + "understated_explicit_idle_remainders", + "understated_actual_chart_types", + "wrong_cross_replica_role_count", + "synchronized_forged_phase_review_semantics", + "cold_helper_width_permuted_same_inventory", + "old_no_cold_wrapper_counts_selfconsistent", + "synchronized_forged_source_recipe_hash", + "wrong_owner_receipt_hash" + ], + "exact_outer_controls": [ + "next_grid", + "zero_eta", + "zero_beta", + "unit_beta" + ], + "conservative_outer_controls": [ + "next_grid", + "zero_eta", + "zero_beta", + "unit_beta" + ], + "recurrence_model_controls": [ + "native_complex_endpoint_rejected_with_old_surcharge", + "omitting_bit_surcharge_would_fail_next_endpoint_rejection" + ], + "scope": "Complete receipt schema; ordered widths and both reflected providers; exact program, work and paid-profile binding; independently recounted compiler, conservative envelope and finite inequalities. 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"48750211118917187578584154048610115612434188238249740554228037065324756757120517572138331324162386304340287798672206652221675444457902538074742598854744096249448047289367320864145406359242844504597168442137264367665538060965519903164723828687988940735572757399379052796132488562006013596197056949558865324786525588829232146845272778582752747237412582939434371767515058691402100738736235639871595146546284876117357008303379/48906038881082812432822899284409440262463841429345282806205864745713405014489084211096852636505998101145008424771574352276895174543038506461678433827293834115107246733210183017099896438181491940492479018621718890744849634418046510606847049866864737884444562660376210140791359006196803516818112847430287283983508555533142150292267775899489089840376055942315892321467034866393209962567821278742574294012672025000000000000000" + }, + "controls": [ + "next_grid", + "zero_eta", + "zero_beta", + "unit_beta" + ], + "scope": "Conditional native exact-complex witness after complete conservative admission, moment and outer checks; PR559 exact-cover recurrence correction only, bit bad-residue surcharge and H1-H5 retained. Three fixed one-cold per-invocation providers composed with cited unchanged PR543 bit supplier. All-size compiler, common-label/mutable-source realization, whole-call hosting, precision/tape and analytic transfer remain assumptions. No unconditional theorem or full Lean certification." +} diff --git a/research/larger-gain/baseline564/ASYNC-AUDIT.json b/research/larger-gain/baseline564/ASYNC-AUDIT.json new file mode 100644 index 0000000000..66a226dc86 --- /dev/null +++ b/research/larger-gain/baseline564/ASYNC-AUDIT.json @@ -0,0 +1,80 @@ +{ + "status": "PASS_INDEPENDENT_ASYNC_WHOLE_OWNER_CONTROLLER_PHASES_AND_SPECTATORS", + "template_sha256": "fc2306d4fc286a9ca26cc1b2e576a3692fa4a1a8146a722c0d2faa9b748ff37f", + "complex_template_sha256": "fc2306d4fc286a9ca26cc1b2e576a3692fa4a1a8146a722c0d2faa9b748ff37f", + "complex_live": 7168, + "complex_profile": { + "1": 166568, + "2": 30928, + "3": 35756, + "4": 13696, + "5": 4032, + "6": 4032, + "7": 172, + "8": 576, + "48": 1668 + }, + "complex_hosted_residuals": 36288, + "physical": 7682, + "rank_mass": 520704, + "deficit": 2560, + "entering_helper_roles": 15336, + "cross_replica_helper_roles": 29514, + "one_owner_per_complete_invocation": true, + "helper_busy_family_window_checks": 36288, + "complete_invocations": 72, + "actual_orthogonal_73column_maps": 2962, + "actual_sigma_stream_sha256": "4d9ce46bef47f41a6c9cefaf45073c652f833753a578dfa1ed318bce2eabe3b9", + "all_actual_residual_and_spectator_charts": true, + "idle_remainders": 4204, + "mutations_rejected": [ + "alias two whole owners", + "helper on active data family", + "owner in private namespace", + "wrong residual width", + "wrong spectator coordinate", + "omit idle remainder", + "understate physical reserve", + "wrong provider at a four-pivot invocation", + "stale per-call local program hash", + "stale serialized four-pivot provider program", + "unbound residual adapter hash", + "wrong provider width registry", + "wrong per-call width at a four-pivot invocation", + "wrong sweep provider", + "cold helper width silently restored to nine", + "missing cold helper wrapper binding" + ], + "mutation_controls_run": true, + "provider_phase_semantic_sha256": { + "rank5_zero_cold": "cc8ef5d8b6814b3c7ce241c5eabb9b79ca342248a9df5e985b15575ea899be93", + "rank5_four_cold": "b1ad37b19dba3c211a18201820d6579c51b1c5f815745cdbe259651698111c63", + "rank5_eight_cold": "2375b30733b9b2227b8a98a479c9000a77c1e40c98a4f1d97060a1506950ba0f" + }, + "widths_by_provider": { + "rank5_zero_cold": { + "5": 56, + "8": 157, + "9": 291 + }, + "rank5_four_cold": { + "4": 4, + "5": 52, + "8": 157, + "9": 291 + }, + "rank5_eight_cold": { + "4": 8, + "5": 48, + "8": 157, + "9": 291 + } + }, + "provider_counts": { + "rank5_eight_cold": 55, + "rank5_zero_cold": 15, + "rank5_four_cold": 2 + }, + "all_provider_program_phase_and_wrapper_bindings": true, + "scope": "Independent exact asynchronous chronology, per-replica phase projection, owner/chart/paid-profile audit. Uses three per-invocation local providers bound by exact scalar, phase and residual-wrapper receipts; all-size compilation and complete coefficient invoice are separate inherited obligations." +} diff --git a/research/larger-gain/baseline564/BASELINE.json b/research/larger-gain/baseline564/BASELINE.json new file mode 100644 index 0000000000..a894481f6a --- /dev/null +++ b/research/larger-gain/baseline564/BASELINE.json @@ -0,0 +1,244 @@ +{ + "status": "PASS_FRESH_PINNED_PR564_BASELINE", + "head": "c18417b02b80594b2ca1c8c21185d28befafc935", + "package": "research/complex-allcold", + "source_manifest_sha256": "dd602912d0e60c9bb2befba446629ae531ea42a9d4fecda922f98aac40762c41", + "verifier_sha256": "b6cf9cffc2c3e7283c9d8d3a7e6a0175da63f809f54d3e240b20763ad0b61a7e", + "command": "python3 -B research/complex-allcold/verify.py --work /tmp/larger-gain-pr564-baseline-20261012", + "work_directory": "/private/tmp/larger-gain-pr564-baseline-20261012", + "baseline558_directory": "/private/tmp/larger-gain-pr564-baseline-20261012/baseline558", + "seconds": 274.18508429199574, + "kappa": "39828353954541/25000000000000000", + "kappa_decimal_exact": "0.001593134158181640", + "serialization_note": "Upstream RESULT.json omits a trailing decimal zero; compare exact Fraction values.", + "conservative_kappa_decimal": "0.001593134155443237", + "global_profile": { + "1": 166568, + "2": 30928, + "3": 35756, + "4": 13696, + "5": 4032, + "6": 4032, + "7": 172, + "8": 576, + "48": 1668 + }, + "provider_counts": { + "rank5_eight_cold": 55, + "rank5_zero_cold": 15, + "rank5_four_cold": 2 + }, + "complete_source_stage_count": 36, + "complete_source_artifact_count": 29, + "all_source_receipt_artifact_hashes_checked": true, + "owner_mutations_rejected": 16, + "assembly_mutations_rejected": 54, + "phase_timing_only_accepted": 3, + "semantic_phase_failures_rejected": 3, + "strict_outer_inequalities_per_model": 47, + "providers": { + "zero": { + "local_directory": "/private/tmp/larger-gain-pr564-baseline-20261012/zero-cold-local", + "raw_word": "/private/tmp/larger-gain-pr564-baseline-20261012/zero-cold-word/FULL-WORD.json.gz", + "raw_word_sha256": "2bb7fc53c8d561b4d8346cd428311e9e2263e037ddeb3cc4af810e24d704dd18", + "artifact_sha256": { + "CANONICAL-WORD.json.gz": "cfaaf0e6e033641e29ef926a1150b670f339a95993ebd7d8b37b24f58d5e7eb5", + "CLIFFORD-RECIPES.json": "95d12229b708f96864d7d226ff1f393c107fe9488b6019a298313028b8f5a2ed", + "CLIFFORD-REVIEW.json": "5f55198fdfef8b0c99fccb90bcc3d2384055dec7c032cebd2739572bf2608db7", + "FULL-WORD.json.gz": "2bb7fc53c8d561b4d8346cd428311e9e2263e037ddeb3cc4af810e24d704dd18", + "INDEPENDENT-LOCAL-REPLAY.json": "718a0b5c406c282f35b882df3451fdb6865c8bac6a038660422ecc316a493eb6", + "LOCAL-CHECKS.json": "a79876ab82fc3156d0542e002001a958fe0653f05f40d8b302b296da1f05216b", + "LOCAL-PROGRAMS.json.gz": "17bf7294e3ba34b52c134f54eca352eb3200843c51c230d048957b6164ffee27", + "RESIDUAL-ADAPTERS.json": "e4fce8ca73ad20a86711837dd6fe1efad5a335689352791a635969e4d1be4391", + "SCALAR-FRAME-AUDIT.json": "7e17856f29f2f28efc3c28b36db91ac3e8a31b4e6dbbd1e3020463b2101bbb47", + "WRAPPER-CHECKS.json": "bc9d150517bae20490620f6d18b1af68a7d57ca5efe772613a9ee5ccd09107d8" + }, + "paid_profiles": { + "forward": { + "1": 2301, + "4": 184, + "8": 8, + "3": 470, + "2": 442, + "6": 56, + "5": 56 + }, + "backward": { + "1": 2301, + "4": 184, + "8": 8, + "3": 470, + "2": 442, + "6": 56, + "5": 56 + } + }, + "native_controls_rejected": 11, + "exact_phase_edges": 2929, + "endpoint_adapters": 224 + }, + "four": { + "local_directory": "/private/tmp/larger-gain-pr564-baseline-20261012/four-cold-local", + "raw_word": "/private/tmp/larger-gain-pr564-baseline-20261012/four-cold-word/FULL-WORD.json.gz", + "raw_word_sha256": "c75015daa4b3d5125edeb0e42a3a3d52774841fbaf95c2b69d323e5ad69d82c5", + "artifact_sha256": { + "CANONICAL-WORD.json.gz": "d8b15de893feb4f0c93b456341a43e34aea7ffd0b3044a6d5ad44ac9efaa6d72", + "CLIFFORD-RECIPES.json": "6a6656fa6a3fdc0f081798a1a5d2303188c8f6d772e197253770926a044cc15e", + "CLIFFORD-REVIEW.json": "51f31affab2b2ccb7d65ff059fbca0a0284f494d7f168890c7134bb182be2ef0", + "FULL-WORD.json.gz": "c75015daa4b3d5125edeb0e42a3a3d52774841fbaf95c2b69d323e5ad69d82c5", + "INDEPENDENT-LOCAL-REPLAY.json": "736d39d98cb94aa40d10a0973f6375c28d29272e3c2f43f3b0e5776c0ac856fa", + "LOCAL-CHECKS.json": "d8ea70e258c5abb286784d493198173426be22635e1bc8f7c523a64614e4373f", + "LOCAL-PROGRAMS.json.gz": "0b18cf4e24ba9f46ea24bb430e0cc9892ea3fe0a6a7586ff991e8d2ca22c1b82", + "RESIDUAL-ADAPTERS.json": "ddeab3b37b16eca2c90c2a8d4afa124e86b611319c8f0a9632bfefbaa7667a0e", + "SCALAR-FRAME-AUDIT.json": "52a23f16e97274d6346e14e670cccfbf8a84c9d60e505e1e4e251f2c1e145c1a", + "WRAPPER-CHECKS.json": "dee4d4c145197d4e431049f79fd2f6b7346c6bdccf07205a1a12306a0b6d600d" + }, + "paid_profiles": { + "forward": { + "1": 2309, + "4": 188, + "8": 8, + "3": 466, + "2": 434, + "6": 56, + "5": 56 + }, + "backward": { + "1": 2309, + "4": 188, + "8": 8, + "3": 466, + "2": 434, + "6": 56, + "5": 56 + } + }, + "native_controls_rejected": 11, + "exact_phase_edges": 2929, + "endpoint_adapters": 224 + }, + "eight": { + "local_directory": "/private/tmp/larger-gain-pr564-baseline-20261012/eight-cold-local", + "raw_word": "/private/tmp/larger-gain-pr564-baseline-20261012/eight-cold-word/FULL-WORD.json.gz", + "raw_word_sha256": "0495b94d1a7b0de6430825025bcf139a1d883c5f695a7d817d664672459f5fa0", + "artifact_sha256": { + "CANONICAL-WORD.json.gz": "6bf22cadf4a4669458bfd9e8dd7dab80d8502595e52fc36acb60e9148f9fe93f", + "CLIFFORD-RECIPES.json": "0e1f804db8521a62f2a8a4b52a697fb27d86b78f453207c316e5d77502f3c2bc", + "CLIFFORD-REVIEW.json": "b71951b6c9cb966a54dad96e9e13cdd84169ec4ff5105010552e0259f64db06f", + "FULL-WORD.json.gz": "0495b94d1a7b0de6430825025bcf139a1d883c5f695a7d817d664672459f5fa0", + "INDEPENDENT-LOCAL-REPLAY.json": "898af46c5c47d35eb193adeb422fa464e67d7d7be43c8cf0657e59f282868ef0", + "LOCAL-CHECKS.json": "c06fda3e9e4232200f6ac4a7955b556b112f830f38457f65255b9753ac68bbba", + "LOCAL-PROGRAMS.json.gz": "0179812f9f23ed4d89621c2c8355ca76ca226688090b32c02bf31e6d765de9f9", + "RESIDUAL-ADAPTERS.json": "baafef737acc16dafbe1150896feb16744f3d669fa123bb2bff19ecc4e71b275", + "SCALAR-FRAME-AUDIT.json": "690d0c1a3bdac46546ec94bb13c7b5f731ac1065d27ccc9a50e19df03718f7ac", + "WRAPPER-CHECKS.json": "9a09146e686c4f535b04fdef3753fe01dad8f5e8881a69408a91394acb5b48f5" + }, + "paid_profiles": { + "forward": { + "1": 2317, + "4": 192, + "8": 8, + "3": 462, + "2": 426, + "6": 56, + "5": 56 + }, + "backward": { + "1": 2317, + "4": 192, + "8": 8, + "3": 462, + "2": 426, + "6": 56, + "5": 56 + } + }, + "native_controls_rejected": 11, + "exact_phase_edges": 2929, + "endpoint_adapters": 224 + } + }, + "retained": { + "RESULT.json": { + "source": "RESULT.json", + "sha256": "1986cdf391adafa5e0da315c77cf5eefad919e11a22623a50cc821eea83f0429" + }, + "RECEIPT.json": { + "source": "RECEIPT.json", + "sha256": "0eebc33a8cb1fab982a608bc7e654eafbed1a7ada9fea7726425e72b9beef94e" + }, + "ASSEMBLY.json": { + "source": "ASSEMBLY.json", + "sha256": "e67f639e15fb07ee45ad771942f3dc0542610f988b47658a98dfb4630ee1b58e" + }, + "ASSEMBLY-CONTROLS.json": { + "source": "ASSEMBLY-CONTROLS.json", + "sha256": "95f735f15baccd157cc6bb21ee29eab0bebaa8ee3e96eff977808e2cf3cb3a51" + }, + "STAGES.json": { + "source": "STAGES.json", + "sha256": "8fcd75349a0101a92bda48995b33266cdbd502de6b7f1070abbfc307f0c481be" + }, + "PHASE-TIMING-CONTROLS.json": { + "source": "PHASE-TIMING-CONTROLS.json", + "sha256": "78c698e3f7f03cc60845b30240d1c3445a7be90d518c9485db74d116f789459f" + }, + "FOUR-SCALAR-CONTROLS.json": { + "source": "FOUR-SCALAR-CONTROLS.json", + "sha256": "3e0cadea3b4492f5958bc0f8ea65807fbfd4693c85403b74ad134fc497078cea" + }, + "PROVIDER-BINDING.json": { + "source": "mixed-global/BINDING.json", + "sha256": "05aa3f26cb24065b3352e244c2383f7f9739ad560b1f5a873dd5c430877f1036" + }, + "OWNERS-AND-PROFILE.json": { + "source": "mixed-global/audit/OWNERS-AND-PROFILE.json", + "sha256": "f3a87cfc5751171116f6b548b892b581a3ee6545d9ff3c6dcb15a516b0580696" + }, + "ASYNC-AUDIT.json": { + "source": "mixed-global/audit/ASYNC-AUDIT.json", + "sha256": "75be3018f65075a79603e5d5ffd870f632058a340e17d20f068b1a4a78aadac8" + }, + "PREFIX-AND-INVOICE.json": { + "source": "mixed-global/audit/PREFIX-AND-INVOICE.json", + "sha256": "e90c2b218b7afd6b641a01d833dc1783bab6b35bf4cd82c8f5881bc73b0c4d53" + }, + "ZERO-PHASE-REVIEW.json": { + "source": "zero-cold-local/CLIFFORD-REVIEW.json", + "sha256": "5f55198fdfef8b0c99fccb90bcc3d2384055dec7c032cebd2739572bf2608db7" + }, + "ZERO-KERNEL-CONSTRUCTION.json": { + "source": "zero-cold-word/KERNEL-CONSTRUCTION.json", + "sha256": "94e73d5785971a5f76822176e1a65e1aa05e509fa2256d1eab3a3d79e052423b" + }, + "ZERO-KERNEL-OMISSION-CONTROLS.json": { + "source": "zero-cold-word/KERNEL-OMISSION-CONTROLS.json", + "sha256": "d39ff39b4abf099ac61f2ebcfe5463b22168660a7407623160d83afe95a5c931" + }, + "FOUR-PHASE-REVIEW.json": { + "source": "four-cold-local/CLIFFORD-REVIEW.json", + "sha256": "51f31affab2b2ccb7d65ff059fbca0a0284f494d7f168890c7134bb182be2ef0" + }, + "FOUR-KERNEL-CONSTRUCTION.json": { + "source": "four-cold-word/KERNEL-CONSTRUCTION.json", + "sha256": "57c544f03601a295e622c1d96c3cddfeb916bb32062a47ddc3c2b870eb5658d5" + }, + "FOUR-KERNEL-OMISSION-CONTROLS.json": { + "source": "four-cold-word/KERNEL-OMISSION-CONTROLS.json", + "sha256": "441cd41775bee76a72ad4d9dfecdbead88d82a5ef088862dd0c7711777ee8871" + }, + "EIGHT-PHASE-REVIEW.json": { + "source": "eight-cold-local/CLIFFORD-REVIEW.json", + "sha256": "b71951b6c9cb966a54dad96e9e13cdd84169ec4ff5105010552e0259f64db06f" + }, + "EIGHT-KERNEL-CONSTRUCTION.json": { + "source": "eight-cold-word/KERNEL-CONSTRUCTION.json", + "sha256": "7a13ad21a3e4e12710e37ab9d1c54a90b2b8741fc3f5f620c363844e9cd766fb" + }, + "EIGHT-KERNEL-OMISSION-CONTROLS.json": { + "source": "eight-cold-word/KERNEL-OMISSION-CONTROLS.json", + "sha256": "558f61371ebb3a417e63abb5a45c90eb4fc6ec52df5e18432e866b699bb67a32" + } + }, + "scope": "Conditional native exact-complex witness after complete conservative admission, moment and outer checks; PR559 exact-cover recurrence correction only, bit bad-residue surcharge and H1-H5 retained. Three fixed one-cold per-invocation providers composed with cited unchanged PR543 bit supplier. All-size compiler, common-label/mutable-source realization, whole-call hosting, precision/tape and analytic transfer remain assumptions. No unconditional theorem or full Lean certification." +} diff --git a/research/larger-gain/baseline564/EIGHT-KERNEL-CONSTRUCTION.json b/research/larger-gain/baseline564/EIGHT-KERNEL-CONSTRUCTION.json new file mode 100644 index 0000000000..33792188c8 --- /dev/null +++ b/research/larger-gain/baseline564/EIGHT-KERNEL-CONSTRUCTION.json @@ -0,0 +1,39 @@ +{ + "status": "PASS_FROZEN_EARLIER_CUT_KERNEL_CONSTRUCTION", + "input_content_sha256": "2b67fd69853dfc28f30ab5bb928f573077ae9d2bfa12cc36254d018d56133a5d", + "output_content_sha256": "edb55811a9d38802c311c74bdd2d4d1b2f3eaf37d06e4178eef0785c2fa4b57d", + "pivot": 494, + "changed_helper": 270, + "entrance_frame": [ + 24 + ], + "inserted_gates": 5, + "exact_suffix_relation": true, + "pivot_untouched_before_cut": true, + "profile_before": { + "1": 2316, + "4": 192, + "8": 8, + "3": 464, + "2": 424, + "6": 56, + "5": 56 + }, + "profile_after": { + "1": 2317, + "4": 192, + "8": 8, + "3": 462, + "2": 426, + "6": 56, + "5": 56 + }, + "delta": { + "1": 1, + "2": 2, + "3": -2 + }, + "helper_width_before": 9, + "helper_width_after": 8, + "scope": "Literal scalar donor word, fixed-cut suffix response, exact frame chains and cleanup constructed. Native/all-column, phase, owner, invoice and assembly checks remain separate. No claimed homogeneous resource gain." +} diff --git a/research/larger-gain/baseline564/EIGHT-KERNEL-OMISSION-CONTROLS.json b/research/larger-gain/baseline564/EIGHT-KERNEL-OMISSION-CONTROLS.json new file mode 100644 index 0000000000..6371f3a0e0 --- /dev/null +++ b/research/larger-gain/baseline564/EIGHT-KERNEL-OMISSION-CONTROLS.json @@ -0,0 +1,56 @@ +{ + "status": "PASS_EXACT_NEW_KERNEL_OMISSION_CONTROLS", + "word_sha256": "0495b94d1a7b0de6430825025bcf139a1d883c5f695a7d817d664672459f5fa0", + "columns_each_orientation": 728, + "correct_compensation_frozen": true, + "compensation_entries": 9123, + "controls": [ + { + "omitted_B_indices": [ + 368 + ], + "forward_rejected": true, + "reflected_rejected": true + }, + { + "omitted_B_indices": [ + 369 + ], + "forward_rejected": true, + "reflected_rejected": true + }, + { + "omitted_B_indices": [ + 370 + ], + "forward_rejected": true, + "reflected_rejected": true + }, + { + "omitted_B_indices": [ + 371 + ], + "forward_rejected": true, + "reflected_rejected": true + }, + { + "omitted_B_indices": [ + 372 + ], + "forward_rejected": true, + "reflected_rejected": true + }, + { + "omitted_B_indices": [ + 368, + 369, + 370, + 371, + 372 + ], + "forward_rejected": true, + "reflected_rejected": true + } + ], + "scope": "Each new donor gate and entire new kernel omitted. Cleanup is regenerated, correct compensation is held fixed, and both exact scalar orientations reject each mutant." +} diff --git a/research/larger-gain/baseline564/EIGHT-PHASE-REVIEW.json b/research/larger-gain/baseline564/EIGHT-PHASE-REVIEW.json new file mode 100644 index 0000000000..78ba97f0ea --- /dev/null +++ b/research/larger-gain/baseline564/EIGHT-PHASE-REVIEW.json @@ -0,0 +1,20 @@ +{ + "status": "PASS_NEW_WORD_EXACT_LOCAL_PHASE_RECIPES", + "canonical_word_sha256": "6bf22cadf4a4669458bfd9e8dd7dab80d8502595e52fc36acb60e9148f9fe93f", + "frames": 999, + "directed_edges": 2929, + "ranks": { + "1": 1863, + "2": 368, + "8": 16, + "3": 426, + "4": 186, + "5": 14, + "6": 56 + }, + "endpoint_adapters": 224, + "all_child_equalities_include_global_phase": true, + "recipe_sha256": "0e1f804db8521a62f2a8a4b52a697fb27d86b78f453207c316e5d77502f3c2bc", + "seconds": 100.67754287499702, + "scope": "Every local frame and center transition. Expanded scalar-interface integration and global emitted program are separate obligations." +} diff --git a/research/larger-gain/baseline564/FOUR-KERNEL-CONSTRUCTION.json b/research/larger-gain/baseline564/FOUR-KERNEL-CONSTRUCTION.json new file mode 100644 index 0000000000..7e21cc24ca --- /dev/null +++ b/research/larger-gain/baseline564/FOUR-KERNEL-CONSTRUCTION.json @@ -0,0 +1,39 @@ +{ + "status": "PASS_FROZEN_EARLIER_CUT_KERNEL_CONSTRUCTION", + "input_content_sha256": "fd694fd6e23c572e4cdb93b1513344a9914addbe4f952e1e9375b2688596e4aa", + "output_content_sha256": "e722b4de2f8def94a0b420e6f294be6b8b22d6bc83e65117ba369b8810c0d09d", + "pivot": 494, + "changed_helper": 270, + "entrance_frame": [ + 24 + ], + "inserted_gates": 5, + "exact_suffix_relation": true, + "pivot_untouched_before_cut": true, + "profile_before": { + "1": 2308, + "4": 188, + "8": 8, + "3": 468, + "2": 432, + "6": 56, + "5": 56 + }, + "profile_after": { + "1": 2309, + "4": 188, + "8": 8, + "3": 466, + "2": 434, + "6": 56, + "5": 56 + }, + "delta": { + "1": 1, + "2": 2, + "3": -2 + }, + "helper_width_before": 9, + "helper_width_after": 8, + "scope": "Literal scalar donor word, fixed-cut suffix response, exact frame chains and cleanup constructed. Native/all-column, phase, owner, invoice and assembly checks remain separate. No claimed homogeneous resource gain." +} diff --git a/research/larger-gain/baseline564/FOUR-KERNEL-OMISSION-CONTROLS.json b/research/larger-gain/baseline564/FOUR-KERNEL-OMISSION-CONTROLS.json new file mode 100644 index 0000000000..3a4af5a496 --- /dev/null +++ b/research/larger-gain/baseline564/FOUR-KERNEL-OMISSION-CONTROLS.json @@ -0,0 +1,56 @@ +{ + "status": "PASS_EXACT_NEW_KERNEL_OMISSION_CONTROLS", + "word_sha256": "c75015daa4b3d5125edeb0e42a3a3d52774841fbaf95c2b69d323e5ad69d82c5", + "columns_each_orientation": 728, + "correct_compensation_frozen": true, + "compensation_entries": 9123, + "controls": [ + { + "omitted_B_indices": [ + 368 + ], + "forward_rejected": true, + "reflected_rejected": true + }, + { + "omitted_B_indices": [ + 369 + ], + "forward_rejected": true, + "reflected_rejected": true + }, + { + "omitted_B_indices": [ + 370 + ], + "forward_rejected": true, + "reflected_rejected": true + }, + { + "omitted_B_indices": [ + 371 + ], + "forward_rejected": true, + "reflected_rejected": true + }, + { + "omitted_B_indices": [ + 372 + ], + "forward_rejected": true, + "reflected_rejected": true + }, + { + "omitted_B_indices": [ + 368, + 369, + 370, + 371, + 372 + ], + "forward_rejected": true, + "reflected_rejected": true + } + ], + "scope": "Each new donor gate and entire new kernel omitted. Cleanup is regenerated, correct compensation is held fixed, and both exact scalar orientations reject each mutant." +} diff --git a/research/larger-gain/baseline564/FOUR-PHASE-REVIEW.json b/research/larger-gain/baseline564/FOUR-PHASE-REVIEW.json new file mode 100644 index 0000000000..146c62be89 --- /dev/null +++ b/research/larger-gain/baseline564/FOUR-PHASE-REVIEW.json @@ -0,0 +1,20 @@ +{ + "status": "PASS_NEW_WORD_EXACT_LOCAL_PHASE_RECIPES", + "canonical_word_sha256": "d8b15de893feb4f0c93b456341a43e34aea7ffd0b3044a6d5ad44ac9efaa6d72", + "frames": 999, + "directed_edges": 2929, + "ranks": { + "1": 1855, + "2": 376, + "8": 16, + "3": 427, + "4": 185, + "5": 14, + "6": 56 + }, + "endpoint_adapters": 224, + "all_child_equalities_include_global_phase": true, + "recipe_sha256": "6a6656fa6a3fdc0f081798a1a5d2303188c8f6d772e197253770926a044cc15e", + "seconds": 100.665813582993, + "scope": "Every local frame and center transition. Expanded scalar-interface integration and global emitted program are separate obligations." +} diff --git a/research/larger-gain/baseline564/FOUR-SCALAR-CONTROLS.json b/research/larger-gain/baseline564/FOUR-SCALAR-CONTROLS.json new file mode 100644 index 0000000000..a0b7a414e1 --- /dev/null +++ b/research/larger-gain/baseline564/FOUR-SCALAR-CONTROLS.json @@ -0,0 +1,16 @@ +{ + "status": "PASS_EXACT_RATIONAL_FORWARD_AND_INVERSE_TRANSPOSE", + "word_sha256": "2a2ef59a5376cca2c8c3d2d7a9476d98cd527275e8bf4bc0047eaba4d8c2591c", + "selection_sha256": "16ecc4a5c08af6750ee8610b722f74eba82a9eeb9703f0f0e0ace08ce5c82ad3", + "columns_each_orientation": 728, + "compensations": 9132, + "program_operations": 16266, + "kernel_pivots": 4, + "controls": { + "419": "REJECTED_OMITTED_PROMOTED_POSTCENTER_KERNEL_CORRECTION", + "421": "REJECTED_OMITTED_PROMOTED_POSTCENTER_KERNEL_CORRECTION", + "422": "REJECTED_OMITTED_PROMOTED_POSTCENTER_KERNEL_CORRECTION", + "423": "REJECTED_OMITTED_PROMOTED_POSTCENTER_KERNEL_CORRECTION" + }, + "scope": "Exact local scalar identity and preserved frame-zero compensation; physical owner routing, complete invoice and outer kappa separate." +} diff --git a/research/larger-gain/baseline564/OWNERS-AND-PROFILE.json b/research/larger-gain/baseline564/OWNERS-AND-PROFILE.json new file mode 100644 index 0000000000..63d8f9c546 --- /dev/null +++ b/research/larger-gain/baseline564/OWNERS-AND-PROFILE.json @@ -0,0 +1,58 @@ +{ + "status": "PASS_INDEPENDENT_ASYNC_OWNERS_AND_PROFILE", + "template_sha256": "fc2306d4fc286a9ca26cc1b2e576a3692fa4a1a8146a722c0d2faa9b748ff37f", + "paid_profile": { + "1": 166568, + "2": 30928, + "3": 35756, + "4": 13696, + "5": 4032, + "6": 4032, + "7": 172, + "8": 576, + "48": 1668 + }, + "live": 7168, + "physical": 7682, + "rank_mass": 520704, + "deficit": 2560, + "hosted_residuals": 36288, + "banked_residuals": 0, + "all_live_owners_per_call_distinct": true, + "owners_per_call": 728, + "actual_helper_owner_charts": 36288, + "actual_73column_sigmas": 2962, + "cross_replica_helper_roles": 29514, + "explicit_idle_remainder_children": 4204, + "source_idle_children_charged": 16128, + "source_artifacts": { + "work/complex-nine-native/DATA-PHASES.json": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa", + "providers/rank5_eight_cold/CANONICAL-WORD.json.gz": "6bf22cadf4a4669458bfd9e8dd7dab80d8502595e52fc36acb60e9148f9fe93f", + "providers/rank5_eight_cold/LOCAL-PROGRAMS.json.gz": "0179812f9f23ed4d89621c2c8355ca76ca226688090b32c02bf31e6d765de9f9", + "providers/rank5_eight_cold/LOCAL-CHECKS.json": "c06fda3e9e4232200f6ac4a7955b556b112f830f38457f65255b9753ac68bbba", + "providers/rank5_eight_cold/INDEPENDENT-LOCAL-REPLAY.json": "898af46c5c47d35eb193adeb422fa464e67d7d7be43c8cf0657e59f282868ef0", + "providers/rank5_eight_cold/RESIDUAL-ADAPTERS.json": "baafef737acc16dafbe1150896feb16744f3d669fa123bb2bff19ecc4e71b275", + "providers/rank5_eight_cold/CLIFFORD-RECIPES.json": "0e1f804db8521a62f2a8a4b52a697fb27d86b78f453207c316e5d77502f3c2bc", + "providers/rank5_eight_cold/CLIFFORD-REVIEW.json": "b71951b6c9cb966a54dad96e9e13cdd84169ec4ff5105010552e0259f64db06f", + "providers/rank5_four_cold/CANONICAL-WORD.json.gz": "d8b15de893feb4f0c93b456341a43e34aea7ffd0b3044a6d5ad44ac9efaa6d72", + "providers/rank5_four_cold/LOCAL-PROGRAMS.json.gz": "0b18cf4e24ba9f46ea24bb430e0cc9892ea3fe0a6a7586ff991e8d2ca22c1b82", + "providers/rank5_four_cold/LOCAL-CHECKS.json": "d8ea70e258c5abb286784d493198173426be22635e1bc8f7c523a64614e4373f", + "providers/rank5_four_cold/INDEPENDENT-LOCAL-REPLAY.json": "736d39d98cb94aa40d10a0973f6375c28d29272e3c2f43f3b0e5776c0ac856fa", + "providers/rank5_four_cold/RESIDUAL-ADAPTERS.json": "ddeab3b37b16eca2c90c2a8d4afa124e86b611319c8f0a9632bfefbaa7667a0e", + "providers/rank5_four_cold/CLIFFORD-RECIPES.json": "6a6656fa6a3fdc0f081798a1a5d2303188c8f6d772e197253770926a044cc15e", + "providers/rank5_four_cold/CLIFFORD-REVIEW.json": "51f31affab2b2ccb7d65ff059fbca0a0284f494d7f168890c7134bb182be2ef0", + "providers/rank5_zero_cold/CANONICAL-WORD.json.gz": "cfaaf0e6e033641e29ef926a1150b670f339a95993ebd7d8b37b24f58d5e7eb5", + "providers/rank5_zero_cold/LOCAL-PROGRAMS.json.gz": "17bf7294e3ba34b52c134f54eca352eb3200843c51c230d048957b6164ffee27", + "providers/rank5_zero_cold/LOCAL-CHECKS.json": "a79876ab82fc3156d0542e002001a958fe0653f05f40d8b302b296da1f05216b", + "providers/rank5_zero_cold/INDEPENDENT-LOCAL-REPLAY.json": "718a0b5c406c282f35b882df3451fdb6865c8bac6a038660422ecc316a493eb6", + "providers/rank5_zero_cold/RESIDUAL-ADAPTERS.json": "e4fce8ca73ad20a86711837dd6fe1efad5a335689352791a635969e4d1be4391", + "providers/rank5_zero_cold/CLIFFORD-RECIPES.json": "95d12229b708f96864d7d226ff1f393c107fe9488b6019a298313028b8f5a2ed", + "providers/rank5_zero_cold/CLIFFORD-REVIEW.json": "5f55198fdfef8b0c99fccb90bcc3d2384055dec7c032cebd2739572bf2608db7" + }, + "provider_phase_semantic_sha256": { + "rank5_zero_cold": "cc8ef5d8b6814b3c7ce241c5eabb9b79ca342248a9df5e985b15575ea899be93", + "rank5_four_cold": "b1ad37b19dba3c211a18201820d6579c51b1c5f815745cdbe259651698111c63", + "rank5_eight_cold": "2375b30733b9b2227b8a98a479c9000a77c1e40c98a4f1d97060a1506950ba0f" + }, + "controller_audit_sha256": "75be3018f65075a79603e5d5ffd870f632058a340e17d20f068b1a4a78aadac8" +} diff --git a/research/larger-gain/baseline564/PHASE-TIMING-CONTROLS.json b/research/larger-gain/baseline564/PHASE-TIMING-CONTROLS.json new file mode 100644 index 0000000000..d845cbde03 --- /dev/null +++ b/research/larger-gain/baseline564/PHASE-TIMING-CONTROLS.json @@ -0,0 +1,17 @@ +{ + "status": "PASS_PHASE_REVIEW_TIMING_PORTABILITY_AND_SEMANTIC_REJECTION", + "timing_only_accepted": [ + "rank5_eight_cold", + "rank5_four_cold", + "rank5_zero_cold" + ], + "substantive_phase_failure_rejected": [ + "rank5_eight_cold", + "rank5_four_cold", + "rank5_zero_cold" + ], + "kappa": "39828353954541/25000000000000000", + "source_owner_sha256": "f3a87cfc5751171116f6b548b892b581a3ee6545d9ff3c6dcb15a516b0580696", + "source_invoice_sha256": "e90c2b218b7afd6b641a01d833dc1783bab6b35bf4cd82c8f5881bc73b0c4d53", + "scope": "Actual phase receipt JSON is changed, raw artifact bindings and owner digest are consistently recomputed, and all substantive semantics are freshly hashed. Only seconds may vary; no phase correctness field is omitted from the frozen digest." +} diff --git a/research/larger-gain/baseline564/PREFIX-AND-INVOICE.json b/research/larger-gain/baseline564/PREFIX-AND-INVOICE.json new file mode 100644 index 0000000000..6aa5ec6c7b --- /dev/null +++ b/research/larger-gain/baseline564/PREFIX-AND-INVOICE.json @@ -0,0 +1,2923 @@ +{ + "status": "PASS_INDEPENDENT_MIXED_ASYNC_SCALAR_PREFIX_AND_FINITE_INVOICE", + "template_sha256": "fc2306d4fc286a9ca26cc1b2e576a3692fa4a1a8146a722c0d2faa9b748ff37f", + "parent_template_sha256": "7db047a427a7979d69e163c78a1e32bd445628fb86723e131a3138361355a9c3", + "owner_audit_sha256": "f3a87cfc5751171116f6b548b892b581a3ee6545d9ff3c6dcb15a516b0580696", + "controller_audit_sha256": "75be3018f65075a79603e5d5ffd870f632058a340e17d20f068b1a4a78aadac8", + "providers": { + "rank5_eight_cold": { + "local": { + "backward": { + "events": 21486, + "macros": 16291, + "real_component_primitives": 161356, + "prefix_l1": "1044730572396", + 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Three fixed one-cold per-invocation providers composed with cited unchanged PR543 bit supplier. All-size compiler, common-label/mutable-source realization, whole-call hosting, precision/tape and analytic transfer remain assumptions. 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"log_sha256": "3a981c2eae5493a5043359c16d0e370bf8f0ed01c8e33cb8c36f72de977ec811" + }, + { + "name": "independent-controller-and-controls", + "exit_code": 0, + "seconds": 15.759551832990837, + "log_sha256": "75be3018f65075a79603e5d5ffd870f632058a340e17d20f068b1a4a78aadac8" + }, + { + "name": "fresh-three-provider-invoice", + "exit_code": 0, + "seconds": 0.9891463329986436, + "log_sha256": "4fb21987ca3d4f942e955c1a967b46e78463b13572a6380f5dacd9b89aa2ddd5" + }, + { + "name": "conservative-and-native-exact-assembly", + "exit_code": 0, + "seconds": 0.2748101249890169, + "log_sha256": "ac2f28f73b436b2ed2668bef7e8bb9ce70f12c36826890e02acf39306e58e408" + }, + { + "name": "fifty-four-admission-controls", + "exit_code": 0, + "seconds": 0.3193138339993311, + "log_sha256": "a81299d443532ba924070a09b0bfff4ad32dcd884b833ff8ece7c8ab3cfe73e2" + }, + { + "name": "phase-timing-portability-controls", + "exit_code": 0, + "seconds": 0.8535475000098813, + "log_sha256": "0afd061fc88b9f5ab190d65fbc98519cd68475d69185a73b67e314a3e43ee833" + } +] diff --git a/research/larger-gain/baseline564/ZERO-KERNEL-CONSTRUCTION.json b/research/larger-gain/baseline564/ZERO-KERNEL-CONSTRUCTION.json new file mode 100644 index 0000000000..581f42c9b5 --- /dev/null +++ b/research/larger-gain/baseline564/ZERO-KERNEL-CONSTRUCTION.json @@ -0,0 +1,39 @@ +{ + "status": "PASS_FROZEN_EARLIER_CUT_KERNEL_CONSTRUCTION", + "input_content_sha256": "58e469f7f96dc1a79380d430f176a5d448f81643e5a639f5b447929cf36474be", + "output_content_sha256": "7d503f7d259e4413762d33a4b7b6855a4637aa42eac99b78ff8a0500ea9b9cf7", + "pivot": 494, + "changed_helper": 270, + "entrance_frame": [ + 24 + ], + "inserted_gates": 5, + "exact_suffix_relation": true, + "pivot_untouched_before_cut": true, + "profile_before": { + "1": 2300, + "4": 184, + "8": 8, + "3": 472, + "2": 440, + "6": 56, + "5": 56 + }, + "profile_after": { + "1": 2301, + "4": 184, + "8": 8, + "3": 470, + "2": 442, + "6": 56, + "5": 56 + }, + "delta": { + "1": 1, + "2": 2, + "3": -2 + }, + "helper_width_before": 9, + "helper_width_after": 8, + "scope": "Literal scalar donor word, fixed-cut suffix response, exact frame chains and cleanup constructed. Native/all-column, phase, owner, invoice and assembly checks remain separate. No claimed homogeneous resource gain." +} diff --git a/research/larger-gain/baseline564/ZERO-KERNEL-OMISSION-CONTROLS.json b/research/larger-gain/baseline564/ZERO-KERNEL-OMISSION-CONTROLS.json new file mode 100644 index 0000000000..2b7937fb0b --- /dev/null +++ b/research/larger-gain/baseline564/ZERO-KERNEL-OMISSION-CONTROLS.json @@ -0,0 +1,56 @@ +{ + "status": "PASS_EXACT_NEW_KERNEL_OMISSION_CONTROLS", + "word_sha256": "2bb7fc53c8d561b4d8346cd428311e9e2263e037ddeb3cc4af810e24d704dd18", + "columns_each_orientation": 728, + "correct_compensation_frozen": true, + "compensation_entries": 9123, + "controls": [ + { + "omitted_B_indices": [ + 368 + ], + "forward_rejected": true, + "reflected_rejected": true + }, + { + "omitted_B_indices": [ + 369 + ], + "forward_rejected": true, + "reflected_rejected": true + }, + { + "omitted_B_indices": [ + 370 + ], + "forward_rejected": true, + "reflected_rejected": true + }, + { + "omitted_B_indices": [ + 371 + ], + "forward_rejected": true, + "reflected_rejected": true + }, + { + "omitted_B_indices": [ + 372 + ], + "forward_rejected": true, + "reflected_rejected": true + }, + { + "omitted_B_indices": [ + 368, + 369, + 370, + 371, + 372 + ], + "forward_rejected": true, + "reflected_rejected": true + } + ], + "scope": "Each new donor gate and entire new kernel omitted. Cleanup is regenerated, correct compensation is held fixed, and both exact scalar orientations reject each mutant." +} diff --git a/research/larger-gain/baseline564/ZERO-PHASE-REVIEW.json b/research/larger-gain/baseline564/ZERO-PHASE-REVIEW.json new file mode 100644 index 0000000000..f18ed15944 --- /dev/null +++ b/research/larger-gain/baseline564/ZERO-PHASE-REVIEW.json @@ -0,0 +1,20 @@ +{ + "status": "PASS_NEW_WORD_EXACT_LOCAL_PHASE_RECIPES", + "canonical_word_sha256": "cfaaf0e6e033641e29ef926a1150b670f339a95993ebd7d8b37b24f58d5e7eb5", + "frames": 999, + "directed_edges": 2929, + "ranks": { + "1": 1847, + "2": 384, + "8": 16, + "3": 428, + "4": 184, + "5": 14, + "6": 56 + }, + "endpoint_adapters": 224, + "all_child_equalities_include_global_phase": true, + "recipe_sha256": "95d12229b708f96864d7d226ff1f393c107fe9488b6019a298313028b8f5a2ed", + "seconds": 101.07070579200808, + "scope": "Every local frame and center transition. Expanded scalar-interface integration and global emitted program are separate obligations." +} diff --git a/research/larger-gain/geometry/CAPACITY-MODEL-REVIEW.md b/research/larger-gain/geometry/CAPACITY-MODEL-REVIEW.md new file mode 100644 index 0000000000..ec329859f8 --- /dev/null +++ b/research/larger-gain/geometry/CAPACITY-MODEL-REVIEW.md @@ -0,0 +1,75 @@ +# Independent review of the current-alphabet capacity ceiling + +The model in [capacity_ceiling.py](../patterns/capacity_ceiling.py) is a valid +relaxation of the pinned PR564 whole-owner packing problem. The exact dual +in [CURRENT-ALPHABET-EXACT-CEILING.json](../patterns/CURRENT-ALPHABET-EXACT-CEILING.json) +passed the standard-library verifier with both independent rational moment +engines. This review separately checked the mathematical interpretation of +its variables and objective, not just the verifier's return value. + +The 144 `(replica, child)` windows give 48 rank-eight windows and 32 windows +of each rank 16, 32 and 48. There are 112 port owners per window, so the +capacity equalities use respectively 5376, 3584, 3584 and 3584 physical bins. +Every legal literal arrangement supplies one integer pattern per bin; +enumerating all nonnegative counts of widths 4, 5, 8 and 9 below that bin's +capacity covers every such arrangement. The remaining axes are charged as +one child. Splitting a remainder could only increase its concave moment cost. + +For a cold provider with `p = 0, 4, 8` promotions, the complete helper +inventory is `(p, 56-p, 157, 291)` at widths `(4, 5, 8, 9)`, totaling 504 +helpers. Its paid local profile is fully included. The difference between +local paid rank mass and residual width mass is always + +```text +2 * 112 * (9-1) + 64 = 1856. +``` + +The four width-balance equalities therefore account for every helper exactly +once. The provider-count equality imposes 72 complete invocations. Allowing +fractional counts and discarding chronology, active-data conflicts and +same-call owner uniqueness enlarges the feasible set. It cannot incorrectly +exclude a legal packing in the stated family. The resulting total rank mass +is always `sum(capacity * bins) + 72*1856 = 520704`. + +At positive rate `b`, define + +```text +c_b(r) = r * ((73/r)^b - 1) / b, c_b(0) = 0. +``` + +The native complex moment is below one precisely when +`b * sum(c_b(r) * H[r]) < 2560`, since `73*7168 - 520704 = 2560`. +The verifier computes rigorous **lower** bounds on every LP objective +coefficient. A dual feasible against these smaller coefficients is also +feasible against the true costs. Its objective times `b` strictly exceeds +2560, proving rejection for every relaxed solution. + +Both engines verified all 548 dual column inequalities at +`b = 0.001595676284575998624255`, the next supplier grid point above PR564. +The exact relaxed primal reproduces PR564's full histogram. Its alternate +provider mixture of 56 eight-pivot plus 16 zero-pivot calls has the same +total 448 promotions as the actual 55/eight, 2/four, 15/zero mixture; local +profiles and inventories depend affinely on that total. No extra source +provider is being assumed. + +The nominal kappa upper bound is less than +`0.001593134158181640233288`, excluding the next `10^-18` kappa grid point. +This supports **optimality on the certified grids in this fixed family**. +One-rate dual verification should not be described as an exact symbolic +identity between the unknown real optimum and the real root. + +Finite cloned controllers normalize to the same fractional model because +all capacities, provider counts, live stock and rank mass scale together. +Changed scalar words, entrance frames, cuts, width alphabets, pending-factor +capacities, ambient dimension, decoder or recurrence are outside the reviewed +claim. In particular, the earlier [free-concentration ceiling](PACKING-CEILING.json) +is valid but substantially weaker: it ignores indivisible helper widths. + +Verification run: + +```sh +python3 research/larger-gain/patterns/capacity_ceiling.py \ + --verify research/larger-gain/patterns/CURRENT-ALPHABET-EXACT-CEILING.json +``` + +Result: `PASS_EXACT_CAPACITY_PATTERN_UPPER_BOUND`. diff --git a/research/larger-gain/geometry/ELEVEN-STAGE-BANK-CEILING.json b/research/larger-gain/geometry/ELEVEN-STAGE-BANK-CEILING.json new file mode 100644 index 0000000000..6088f40715 --- /dev/null +++ b/research/larger-gain/geometry/ELEVEN-STAGE-BANK-CEILING.json @@ -0,0 +1,304 @@ +{ + "pairs": 5, + "dimension": 89, + "stages": 11, + "replicas": 8, + "ports": 112, + "base_live": 8960, + "deficit": 3328, + "calls": 88, + "capacities": { + "8": 7168, + "16": 3584, + "32": 3584, + "48": 3584, + "64": 3584 + }, + "max_paid_rank": 62, + "source_sha256": { + "research/larger-gain/providers/words/zero/CONSTRUCTION.json": "684ec2e57240e0f376c133d801a8f4e0d3d5f30cc427f0334b66e4eaceaea183", + "research/larger-gain/providers/words/four/CONSTRUCTION.json": "9877c8f9eb06941823f66a90ebef5f9c919f5b2f275b8f07e27c95ee0b37c9c7", + "research/larger-gain/providers/words/eight/CONSTRUCTION.json": "ac325751ba5d6a8113c0342c42c5c45fe1373c352742be663a8b4ce03e609115" + }, + "status": "PASS_EXACT_FRACTIONAL_STAGE_AND_BANK_UPPER_BOUND", + "columns": 4742, + "rejected_rate": "1552125843051282283801/1000000000000000000000000", + "kappa_upper_bound": "1552125843051282283801/1001552125843051282283801", + "approximate_relaxed_root": 0.0015521258430512862, + "approximate_kappa_ceiling": 0.0015497204818419562, + "relaxed_bank_count": "0", + "relaxed_live": "8960", + "provider_counts": { + "eight": "88" + }, + "relaxed_profile": { + "1": "204160", + "2": "40512", + "3": "215104/5", + "4": "16896", + "5": "4928", + "6": "4928", + "8": "704", + "48": "3456/5", + "59": "512", + "60": "704", + "62": "2368" + }, + "relaxed_profile_root": { + "lower": "0.0015521258430512822838", + "upper": "0.001552125843051282283801", + "lower_endpoint_residual_upper": "-1.628524231020714793641863072518347621047828628105489827872589838150684E-24", + "upper_endpoint_residual_lower": "1.068004224455501059752924314513302908596450204922179066225850089273399E-24", + "strict_rational_signs": true, + "moment_minus_one_at_current_k_required_rate": [ + "-0.002306888002739492350054113249231295568270409333241111202260387104252626", + "-0.002306888002739492350054113249231295568270409333241111202260387104178442" + ], + "nominal_k_ceiling_interval": [ + "0.001549720481841909570509582556681304127026208806348955334658977840532440", + "0.001549720481841909570510579459641974015047388157034523046931745285519804" + ] + }, + "dual": [ + 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Fractional provider and pattern counts, mixed-width auxiliary banks, and all pending owner capacities are allowed. All windows, same-call conflicts, spectators and integer restrictions are dropped. Paid pads are split optimistically at floor(m/sqrt(2)); all finite invoice, phase, controller and outer assembly admission remain separate. Native complex model, not a bit-side or complete kappa admission.", + "verification": { + "status": "PASS_EXACT_FRACTIONAL_STAGE_AND_BANK_UPPER_BOUND", + "columns": 275, + "rejected_rate": "1385701142438678163599/1000000000000000000000000", + "strict_rejection_margin": "18952600110984064466271291523018308508457296023873886846824425242523687163989649147675543071339712183167570665688943836930665055967901582731483342516718125698715634744016298400695373195189662747941341416068598834378130573396606617120139416615511659897416619598351605645755924199017326841359282581728671268698649246834640001986842810568641243825917079251686290037333502517431853031336049388645205352945740985135843716203193298958177522676754424722131666548009115910712031695459821277499706083965769387628322600444683371765773014877671896865187249360774211635853590642010518516579819305609956632211278239288287213703680096340803048498589/41580000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" + } +} diff --git a/research/larger-gain/geometry/FOUR-COLD-SEAM-REVIEW.json b/research/larger-gain/geometry/FOUR-COLD-SEAM-REVIEW.json new file mode 100644 index 0000000000..99ea0f273c --- /dev/null +++ b/research/larger-gain/geometry/FOUR-COLD-SEAM-REVIEW.json @@ -0,0 +1,87 @@ +{ + "status": "PASS_INDEPENDENT_FOUR_COLD_ADAPTER_SEAM_REVIEW", + "reviewed_result_sha256": "60972e01073a48dd79f58d09e216d113815b72c6bea9acdc04b8f342345886f9", + "adaptation_manifest_sha256": "baabb0d0757024dd6d9b99775caa159a02aeb2ad5c082dcd2af27d66eb15d35a", + "code_sha256": { + "assemble.py": "8f4bc8e7f826249edf566800e9b4d6b31103e4f244eb5e41d88b9e68eb15b256", + "assembly_controls.py": "09b2163f2ef1ffaae46ba103208aaabbc7bab4f5c12672ceb41b056bdaa7ca2c", + "audit_allcold.py": "76ebfb27d01f2bd444ba5f86fabfc868d05f642fdd43e0584b46146f769bf1f0", + "bind_providers_portable.py": "be6d388580a8afc33dc3078df84fd9a04ef66b06278369cbe647bacda0a525b7", + "emit_allcold.py": "9d6c75af63fa8f53973734ccb1eef983511f4337ce644436a693fd8fb9ef8fe2", + "invoice_allcold.py": "ff8fee775ad97926454f3ad1183f8e05de654e276150e579ce612f3eb2f98d44", + "phase_timing_controls.py": "3a1d8584228c49b606b55de7ebbf7587a61d1521ef5c2fb79cd4f48038cae9be" + }, + "result_artifacts_checked": 27, + "providers": { + "rank5_zero_cold": { + "frozen_artifacts_checked": 6, + "program_orientations_checked": 2, + "width_inventory": { + "9": 288, + "8": 160, + "5": 56 + }, + "extra_cold_widths": { + "270": 8, + "282": 8, + "294": 8, + "306": 8 + }, + "primitive_bound_below_2_to_48": true + }, + "rank5_four_cold": { + "frozen_artifacts_checked": 6, + "program_orientations_checked": 2, + "width_inventory": { + "9": 288, + "8": 160, + "5": 52, + "4": 4 + }, + "extra_cold_widths": { + "270": 8, + "282": 8, + "294": 8, + "306": 8 + }, + "primitive_bound_below_2_to_48": true + }, + "rank5_eight_cold": { + "frozen_artifacts_checked": 6, + "program_orientations_checked": 2, + "width_inventory": { + "9": 288, + "8": 160, + "5": 48, + "4": 8 + }, + "extra_cold_widths": { + "270": 8, + "282": 8, + "294": 8, + "306": 8 + }, + "primitive_bound_below_2_to_48": true + } + }, + "unchanged_emitter_and_invoice": true, + "inherited_moment_and_outer_engine_hashes_match": true, + "independent_profile_recount": { + "1": 166880, + "2": 31360, + "3": 35312, + "4": 13696, + "5": 4032, + "6": 4032, + "7": 112, + "8": 576, + "48": 1680 + }, + "reported_owner_controls": 16, + "reported_assembly_controls": 57, + "reported_phase_timing_accepted": 3, + "reported_phase_semantic_rejected": 3, + "reported_outer_inequalities_per_model": 47, + "findings": [], + "scope": "Read-only source diff and independent source-byte/profile cross-check. Existing physical and control receipts inspected, not re-executed. This does not extend their conditional all-size/compiler assumptions or independently replay local scalar or phase proofs." +} diff --git a/research/larger-gain/geometry/FOUR-COLD-SEAM-REVIEW.md b/research/larger-gain/geometry/FOUR-COLD-SEAM-REVIEW.md new file mode 100644 index 0000000000..aa093710c1 --- /dev/null +++ b/research/larger-gain/geometry/FOUR-COLD-SEAM-REVIEW.md @@ -0,0 +1,55 @@ +# Independent four-cold admission adapter review + +No correctness findings were found in the adaptation from +`research/complex-allcold/code` to `research/larger-gain/global/fourcold/code`. +This review checked the source diff, actual source bytes, paid-profile +composition and existing admission receipts. It did not rerun the baseline, +local scalar/phase proofs or physical controller. The machine-readable +[review receipt](FOUR-COLD-SEAM-REVIEW.json) binds the exact reviewed files. + +* `emit_allcold.py` and `invoice_allcold.py` remain byte-identical to their + inherited versions. The invoice reads actual selected provider programs, + counts every scalar, coefficient operation, paid child and wrapper, and + takes maxima only for shared reserves. It preserves the complete parent + overcharge, physical helper/center stock, prefix reserve, precision, tape + and halving checks. +* `bind_providers_portable.py` derives all 504 widths from canonical start + frames. It checks the updated `4:p, 5:56-p, 8:160, 9:288` inventories, + both orientation profiles, scalar replay and all exact phase edges. Six + timing-independent artifacts are byte-pinned. Only phase-review timing + and location metadata can be rebound. +* `audit_allcold.py` independently reads each provider and projects the + explicit controller onto every replica. The inherited active-family + exclusion, one helper per family per complete call, actual owner windows, + capacity bounds, disjoint residual cells, prefix placement and complete + idle remainders remain in force. Both local paid profiles are reconstructed + from serialized events. The actual charts retain 73 orthogonal columns. +* `assemble.py` pins the new canonical words, both program hashes, scalar + receipts, exact recipes, adapters and substantive phase-review contents. + Ordered-width hashes bind every helper. Helpers 270, 282, 294 and 306 are + additionally required to have width eight. The updated wrapper counts + and complete per-call invoice agree with the actual files. Every provider + retains its `2^48` primitive cap; the full set of finite checks is required + and independently recomputed. +* The paid profile recomposes to + `{1:166880, 2:31360, 3:35312, 4:13696, 5:4032, 6:4032, + 7:112, 8:576, 48:1680}`. Its rank mass is 520704, leaving deficit 2560 + at dimension 73 and live stock 7168. The assembly pins this complete + histogram, not only its rank mass. +* The three added width-swap controls exchange helpers 282, 294 and 306 + with a width-nine helper while preserving the inventory. The old helper + 270 swap remains. The recorded 57 assembly rejections also cover stale + words, altered selected calls, false paid profiles, unpaid wrappers, + missing caps and forged phase bindings. Three timing-only phase changes + are accepted; three substantive changes are rejected. +* The actual rational engine and cited bit-input hashes match the inherited + package. Conservative complex admission still runs before native complex + repricing. Both moment engines check adjacent endpoints; the bit surcharge + remains charged. Both outer models retain all 47 strict constraints, + next-grid rejection and parameter controls. + +The resulting conditional admission is +`kappa = 0.001593675235313849`, with conservative +`kappa = 0.001593675232571837`. The full-size compiler, mutable-source +realization and analytic transfer retain their stated assumptions. This +review does not turn the finite certificate into an unconditional theorem. diff --git a/research/larger-gain/geometry/GEOMETRY-SCREEN.json b/research/larger-gain/geometry/GEOMETRY-SCREEN.json new file mode 100644 index 0000000000..9760b2488d --- /dev/null +++ b/research/larger-gain/geometry/GEOMETRY-SCREEN.json @@ -0,0 +1,147 @@ +{ + "status": "PASS_EXACT_BOUNDED_GEOMETRY_SCREENS", + "source_sha256": "327d2a868043e846381aa58a33053c24425e8cad522ff401b10ec8af1d649a3f", + "live_ports": 112, + "binary_port_rank": 9, + "binary_gram_rank": 9, + "coordinate_center_ranks": [ + 8, + 8, + 8, + 8, + 8, + 8, + 8, + 8 + ], + "binary_hyperplanes_checked": 511, + "hyperplane_live_count_distribution": { + "0": 1, + "48": 7, + "52": 224, + "56": 48, + "60": 224, + "64": 7 + }, + "maximum_hyperplane_deficit_per_replica": 8, + "best_hyperplane_restrictions": [ + { + "normal": 385, + "live": 64, + "coordinate_center_cost": 56, + "deficit_per_replica": 8 + }, + { + "normal": 391, + "live": 64, + "coordinate_center_cost": 56, + "deficit_per_replica": 8 + }, + { + "normal": 409, + "live": 64, + "coordinate_center_cost": 56, + "deficit_per_replica": 8 + }, + { + "normal": 415, + "live": 64, + "coordinate_center_cost": 56, + "deficit_per_replica": 8 + }, + { + "normal": 481, + "live": 64, + "coordinate_center_cost": 56, + "deficit_per_replica": 8 + }, + { + "normal": 487, + "live": 64, + "coordinate_center_cost": 56, + "deficit_per_replica": 8 + }, + { + "normal": 505, + "live": 64, + "coordinate_center_cost": 56, + "deficit_per_replica": 8 + } + ], + "baseline_deficit_per_replica": 320, + "hyperplanes_supporting_nonzero_coordinate_totals": [ + { + "normal": 1, + "coordinate": 0, + "outside_rational_rank": 7 + }, + { + "normal": 7, + "coordinate": 1, + "outside_rational_rank": 7 + }, + { + "normal": 25, + "coordinate": 2, + "outside_rational_rank": 7 + }, + { + "normal": 31, + "coordinate": 3, + "outside_rational_rank": 7 + }, + { + "normal": 97, + "coordinate": 6, + "outside_rational_rank": 7 + }, + { + "normal": 103, + "coordinate": 7, + "outside_rational_rank": 7 + }, + { + "normal": 121, + "coordinate": 4, + "outside_rational_rank": 7 + }, + { + "normal": 127, + "coordinate": 5, + "outside_rational_rank": 7 + } + ], + "proper_subspace_total_lower_bound": 8, + "minimum_port_deletions_for_one_coordinate_center_rank_drop": [ + 24, + 24, + 24, + 24, + 24, + 24, + 24, + 24 + ], + "reverse_puncture_120": { + "coordinate_total_support_ranks": [ + 9, + 9, + 9, + 9, + 9, + 9, + 9, + 9 + ], + "proper_hyperplanes_supporting_any_nonzero_coordinate_total": 0, + "hyperplanes_checked": 511, + "coordinate_center_rank_sum_lower_bound": 72 + }, + "orthogonal_eight_frames": 1260, + "frames_per_port": 90, + "frame_census_sha256": "e6b28c271101aaaf510ba5357447e9a4e417674b3ec026b9b5d6e69641a55919", + "rank_j_decoder_necessary_live_bound": "v <= 14*j", + "rank_seven_decoder_necessary_deletions": 14, + "rank_seven_rank_eight_centers_best_center_to_port_ratio": "56/98 = 64/112", + "proof_scope": "Dimension obstruction preserves the current binary Gram matrix. Hyperplane screen retains the coordinate-total architecture. A nonzero total supported in a proper binary subspace must lie in one of the eight certified hyperplanes; their one-dimensional rational annihilators are distinct, ruling out dimension <=7. The frame count bounds any rank-j matrix with nonzero diagonal and zeros on distinct orthogonal root pairs: each surviving frame is a diagonal principal submatrix, and averaging its size gives v/14 <= j. These are necessary conditions, not construction, general compiler or arbitrary-frame ceilings." +} diff --git a/research/larger-gain/geometry/HELPER-SENSITIVITY.json b/research/larger-gain/geometry/HELPER-SENSITIVITY.json new file mode 100644 index 0000000000..f2c9653004 --- /dev/null +++ b/research/larger-gain/geometry/HELPER-SENSITIVITY.json @@ -0,0 +1,456 @@ +{ + "status": "HYPOTHETICAL_LOCAL_WORD_SENSITIVITY_WITH_EXACT_ARITHMETIC_THRESHOLDS", + "baseline_kappa": "39828353954541/25000000000000000", + "source_word_sha256": { + "research/larger-gain/providers/words/zero/FULL-WORD.json.gz": "2d8dbb9f163f29cdab2e210674dd873895d2628144aef88b2e4d354dee6c5fd1", + "research/larger-gain/providers/words/four/FULL-WORD.json.gz": "700f062cddbaae2f3204e8e626be4fc122144df5334997acc7dc32bc92146886", + "research/larger-gain/providers/words/eight/FULL-WORD.json.gz": "4bb27af5d2142114ac59d24c8fc9bb638b932cf1cdffaf17733b5372ee101f3b" + }, + "common_cold_noncenter_helpers": 280, + "path_census": { + "(1, 1, 1, 1, 2, 3)": 62, + "(1, 1, 1, 6)": 28, + "(1, 1, 1, 1, 5)": 14, + "(1, 1, 1, 1, 1, 4)": 52, + "(1, 1, 1, 1, 1, 1, 3)": 54, + "(1, 1, 1, 1, 1, 1, 1, 2)": 4, + "(1, 1, 1, 2, 4)": 12, + "(1, 1, 1, 3, 3)": 30, + "(1, 2, 3, 3)": 20, + "(1, 1, 3, 4)": 4 + }, + "scenarios": [ + { + "pairs": 3, + "dimension": 57, + "mode": "remove_expensive_helpers", + "target_gain_percent": 1, + "target_kappa": "4022663749408641/2500000000000000000", + "target_rate": "4022663749408641/2495977336250591359", + "reached": true, + "first_count": 17, + "residual_axes_released_per_call": 153, + "remaining_helpers": 487, + "removed_helper_registers": [ + 283, + 315, + 347, + 379, + 242, + 244, + 246, + 247, + 248, + 252, + 254, + 258, + 260, + 262, + 263, + 264, + 268 + ], + "removed_paid_profile": { + "1": 106, + "2": 4, + "3": 13 + }, + "threshold_checks": [ + { + "count": 16, + "exact_dual_rejects_target": true, + "strict_rejection_margin": 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+ ] + }, + { + "count": 57, + "exact_relaxed_profile_accepts_target": true, + "banks": "0", + "live": "7168", + "signs": [ + { + "engine": "moment", + "moment_residual_upper": "-8589207436530358218178623801800180229316768796068893161294577/26959946667150639794667015087019630673637144422540572481103610249216" + }, + { + "engine": "base_two_moment", + "moment_residual_upper": "-159295705265542721214641/500000000000000000000000000000" + } + ], + "profile": { + "1": "171144", + "2": "39312", + "3": "25416", + "4": "13824", + "5": "4032", + "6": "4032", + "8": "576", + "48": "1884" + } + } + ] + }, + { + "pairs": 4, + "mode": "repeat_cold_relation", + "target_gain_percent": 5, + "target_kappa": "836395433045361/500000000000000000", + "target_rate": "836395433045361/499163604566954639", + "screened_through": 220, + "reached": false + } + ], + "scope": "Helper deletion subtracts the actual paid frame path of selected cold noncenter helpers from every provider and removes their width9 demand. Selection uses most expensive common measured paths first. Repeated cold relations use the already observed delta H1+2H2-2H3 and width9 to width8, without claiming additional relations exist. Both preserve local paid-minus-residual mass1856 and fixed global deficit. These are arithmetic design targets in an optimistic fractional bank/packing model, not removable-helper proofs, actual words, or supplier/outer admissions. Replacement computation may erase all predicted benefit." +} diff --git a/research/larger-gain/geometry/HELPER-TARGETS.md b/research/larger-gain/geometry/HELPER-TARGETS.md new file mode 100644 index 0000000000..42ae3b3bf2 --- /dev/null +++ b/research/larger-gain/geometry/HELPER-TARGETS.md @@ -0,0 +1,73 @@ +# Measured targets for reducing local helper cost + +The strongest concrete design target from this sensitivity screen is a local +redesign that saves six expensive helper paths per invocation. In the +optimistic dimension-73 packing model, that saving reaches a 1% increase over +PR564's `kappa = 0.001593134158181640`. This is a target for a new scalar word; +the current helpers cannot simply be deleted. + +[helper_sensitivity.py](helper_sensitivity.py) reads the actual four-cold +zero-, four- and eight-pivot words and retains their SHA256 values in +[HELPER-SENSITIVITY.json](HELPER-SENSITIVITY.json). It identifies 280 common +width-nine noncenter helpers and reconstructs each helper's paid frame path +from the word. Eight center carriers are excluded. The most expensive four +paths pay seven rank-one children and one rank-two child; the next 54 pay +six rank-one children and one rank-three child. + +The first experiment subtracts these actual paid paths and the corresponding +width-nine demand, starting with the most expensive paths. It assumes the +endpoint can be restored without replacement recursive work. Both sides of +the local paid-minus-residual mass invariant decrease by nine per helper, so +the global deficit remains unchanged. All other local costs, pending bins, +bank stock and padding remain in the fractional LP. + +| Dimension | Target relative gain | Hypothetical helpers saved per call | Remaining helpers | Local paid children saved | Relaxed banks | +| --- | ---: | ---: | ---: | --- | ---: | +| 73 | 1% | 6 | 498 | `40 H1 + 4 H2 + 2 H3` | 0 | +| 73 | 5% | 32 | 472 | `196 H1 + 4 H2 + 28 H3` | 0 | +| 57 | 1% | 17 | 487 | `106 H1 + 4 H2 + 13 H3` | 588 | +| 57 | 5% | 39 | 465 | `238 H1 + 4 H2 + 35 H3` | `1148/3` | + +For each row, an exact relaxed primal reaches the target rate and an exact +dual excludes that target with one fewer saved helper, using both rational +engines. Earlier integer counts were screened numerically; the receipt's +exact certificates concern the adjacent pair. The result is conditional on +this particular sequence of measured path savings, not a universal minimum +number of helpers for every possible redesign. Actual owner windows and +whole-call conflicts remain to be checked, and replacement computation may +erase the predicted gain. + +A second experiment repeats the observed cold-relation change +`H1 + 2 H2 - 2 H3` and changes one width-nine residual to width eight for each +additional relation. In dimension 73, 57 extra relations reach the 1% target, +with exact rejection at 56. No 5% target was reached through 220 relations. +Dimension 57 reached neither target through 220. Thus reducing expensive +helper paths is a more promising arithmetic target than repeating this +particular entrance optimization. Additional cold relations are not supplied +by this experiment. + +These numbers use the three original four-cold providers, before the later +width-seven promotions. They remain useful source-bound sensitivity values; +they do not claim optimal target counts for the expanded provider alphabet. +The 5% target also exceeds the currently cited PR543 bit-side limit. The +fetched PR555 `research/e8-bit-p111/README.md` already claims +`c = 0.001733052823330162099157`, enough bit-side headroom for this target. +Thus a new bit invention may not be needed, but replacing PR543 requires +source-bound PR555 replay and complete composition with the new complex +supplier. PR555 was inspected and was not replayed in this screen. + +## Why forty more width-four promotions were redundant + +Before width-seven promotions, a single width-five to width-four promotion +changes the paid profile by `2 H1 - 2 H2 - H3 + H4` and the inventory by +`+e4 - e5`. The fractional program sees only their total number `P` across +calls. The four-cold optimum has `P=448`, obtainable with 56 eight-pivot and +16 zero-pivot calls. Extending the same affine formula to 48 promoted helpers +merely provides another way to obtain that total: `28/3` such calls and +`188/3` zero-pivot calls still give 72 calls and `P=448`. + +The new provider can beat this bound only if its measured cost or available +packing patterns depart from that affine continuation. Width-seven +promotions do depart from it: they introduce a new residual width and change +which exact capacity patterns are possible. The expanded source-bound stage +screen is recorded separately in [README.md](README.md). diff --git a/research/larger-gain/geometry/PACKING-CEILING.json b/research/larger-gain/geometry/PACKING-CEILING.json new file mode 100644 index 0000000000..792d7f420e --- /dev/null +++ b/research/larger-gain/geometry/PACKING-CEILING.json @@ -0,0 +1,81 @@ +{ + "status": "EXACT_OPTIMISTIC_CEILING_NOT_SUPPLIER_ADMISSION", + "baseline_pr": 564, + "baseline_head": "c18417b02b80594b2ca1c8c21185d28befafc935", + "m": 73, + "live": 7168, + "physical": 7682, + "calls": 72, + "helper_roles": 36288, + "rank_mass": 520704, + "deficit": 2560, + "variants_checked": 145, + "results": { + "retained_15_2_55_mix": { + "total_promotions": 448, + "idle_mass": 88360, + "relaxed_profile": { + "1": 166568, + "2": 30928, + "3": 33392, + "4": 13696, + "5": 4032, + "6": 4032, + "8": 576, + "48": 1840, + "40": 1 + }, + "exact_moment": { + "lower": "0.001617833752966166207421", + "upper": "0.001617833752966166207422", + "lower_endpoint_residual_upper": "-9.495822398745280248454163676989332317663498230736436599097464273201179E-25", + "upper_endpoint_residual_lower": "2.083263354584979306217474149943899001014359105125013327751161688670839E-24", + "strict_rational_signs": true, + "moment_minus_one_at_current_k_required_rate": [ + "-0.002793361113023527055512057574795527588434327672478558741922781417316102", + "-0.002793361113023527055512057574795527588434327672478558741922781417241918" + ], + "nominal_k_ceiling_interval": [ + "0.001615220594569785129563001501195190983419446859226878221521591753053672", + "0.001615220594569785129563998273362939412971557919403605254562539181684135" + ] + }, + "kappa_ceiling_gain_percent": "1.386351317289812389502043313708668940392996905429192045703259427089584" + }, + "all_eight_cold": { + "total_promotions": 576, + "idle_mass": 88488, + "relaxed_profile": { + "1": 166824, + "2": 30672, + "3": 33264, + "4": 13824, + "5": 4032, + "6": 4032, + "8": 576, + "48": 1843, + "24": 1 + }, + "exact_moment": { + "lower": "0.001618262422897966283735", + "upper": "0.001618262422897966283736", + "lower_endpoint_residual_upper": "-6.750650185807561125399325652319321805311388305481735290009930106749431E-25", + "upper_endpoint_residual_lower": "2.356979599956430093563770087199162561897954958234627647562312782156453E-24", + "strict_rational_signs": true, + "moment_minus_one_at_current_k_required_rate": [ + "-0.002793918779487531923382468902990340299586953042383877819144208810375765", + "-0.002793918779487531923382468902990340299586953042383877819144208810301581" + ], + "nominal_k_ceiling_interval": [ + "0.001615647880644085222140238631363617644920437446548354486315233385984246", + "0.001615647880644085222141235402678174430979717412871187864277909234381121" + ] + }, + "kappa_ceiling_gain_percent": "1.413171787625329222662537041537100649967322039591044944828561032167268" + } + }, + "every_variant_rejected_at_common_upper": true, + "minimum_exact_rejection_margin": "2356979/1000000000000000000000000000000", + "proof": "For 0