From 91aa1f17e6e3fc063241686a41a34ddd0dc24c50 Mon Sep 17 00:00:00 2001 From: eumemic Date: Thu, 8 Oct 2026 12:00:04 -0700 Subject: [PATCH 1/2] Balance coarse column sums for a stronger conditional exponent --- .github/workflows/verify.yml | 2 +- Makefile | 7 + NOTICE | 7 + certificates/balanced-coarse-compiler.json | 207 ++++ .../balanced-coarse-independent-audit.json | 58 + certificates/balanced-coarse-kappa.json | 1010 +++++++++++++++++ certificates/balanced-coarse-profiles-23.json | 38 + certificates/balanced-coarse-profiles-25.json | 40 + .../balanced-coarse-transitions-23.json | 33 + .../balanced-coarse-transitions-25.json | 35 + certificates/balanced-coarse-validation.json | 228 ++++ certificates/balanced-coarse-word-23.json.gz | Bin 0 -> 2523389 bytes certificates/balanced-coarse-word-25.json.gz | Bin 0 -> 3499793 bytes certificates/ranked-interval-compiler.json | 220 ++++ certificates/ranked-interval-kappa.json | 874 ++++++++++++++ certificates/ranked-interval-profiles-23.json | 38 + certificates/ranked-interval-profiles-25.json | 40 + .../ranked-interval-transitions-23.json | 34 + .../ranked-interval-transitions-25.json | 35 + certificates/ranked-interval-validation.json | 230 ++++ certificates/ranked-interval-word-23.json.gz | Bin 0 -> 2513513 bytes certificates/ranked-interval-word-25.json.gz | Bin 0 -> 3485043 bytes .../balanced-coarse/SOURCE.json | 12 + references/frame-compiler/pr62/LICENSE | 201 ++++ references/frame-compiler/pr62/NOTICE | 185 +++ references/frame-compiler/pr62/SOURCE.json | 21 + .../frame-compiler/pr62/comparison-pr62.json | 782 +++++++++++++ .../pr62/research/pair-assembly/pair_graph.py | 248 ++++ .../experiments/balanced_coarse_README.txt | 62 + .../experiments/balanced_coarse_compiler.py | 93 ++ .../experiments/balanced_coarse_compose.py | 169 +++ .../pr62_exploration/audit_balanced_coarse.py | 138 +++ .../experiments/ranked_interval_README.txt | 45 + .../experiments/ranked_interval_compiler.py | 74 ++ .../experiments/ranked_interval_compose.py | 160 +++ scripts/experiments/verify_balanced_coarse.py | 68 ++ scripts/experiments/verify_ranked_interval.py | 68 ++ 37 files changed, 5461 insertions(+), 1 deletion(-) create mode 100644 certificates/balanced-coarse-compiler.json create mode 100644 certificates/balanced-coarse-independent-audit.json create mode 100644 certificates/balanced-coarse-kappa.json create mode 100644 certificates/balanced-coarse-profiles-23.json create mode 100644 certificates/balanced-coarse-profiles-25.json create mode 100644 certificates/balanced-coarse-transitions-23.json create mode 100644 certificates/balanced-coarse-transitions-25.json create mode 100644 certificates/balanced-coarse-validation.json create mode 100644 certificates/balanced-coarse-word-23.json.gz create mode 100644 certificates/balanced-coarse-word-25.json.gz create mode 100644 certificates/ranked-interval-compiler.json create mode 100644 certificates/ranked-interval-kappa.json create mode 100644 certificates/ranked-interval-profiles-23.json create mode 100644 certificates/ranked-interval-profiles-25.json create mode 100644 certificates/ranked-interval-transitions-23.json create mode 100644 certificates/ranked-interval-transitions-25.json create mode 100644 certificates/ranked-interval-validation.json create mode 100644 certificates/ranked-interval-word-23.json.gz create mode 100644 certificates/ranked-interval-word-25.json.gz create mode 100644 references/frame-compiler/balanced-coarse/SOURCE.json create mode 100644 references/frame-compiler/pr62/LICENSE create mode 100644 references/frame-compiler/pr62/NOTICE create mode 100644 references/frame-compiler/pr62/SOURCE.json create mode 100644 references/frame-compiler/pr62/comparison-pr62.json create mode 100644 references/frame-compiler/pr62/research/pair-assembly/pair_graph.py create mode 100644 scripts/experiments/balanced_coarse_README.txt create mode 100644 scripts/experiments/balanced_coarse_compiler.py create mode 100644 scripts/experiments/balanced_coarse_compose.py create mode 100644 scripts/experiments/pr62_exploration/audit_balanced_coarse.py create mode 100644 scripts/experiments/ranked_interval_README.txt create mode 100644 scripts/experiments/ranked_interval_compiler.py create mode 100644 scripts/experiments/ranked_interval_compose.py create mode 100644 scripts/experiments/verify_balanced_coarse.py create mode 100644 scripts/experiments/verify_ranked_interval.py diff --git a/.github/workflows/verify.yml b/.github/workflows/verify.yml index 6bd374e1ca..4537c8db64 100644 --- a/.github/workflows/verify.yml +++ b/.github/workflows/verify.yml @@ -16,7 +16,7 @@ jobs: fail-fast: false matrix: python-version: ['3.11', '3.13', '3.14'] - group: [community, producers, certificates, ternary, research, tests, strips, clones, positive, joint, pair] + group: [community, producers, certificates, ternary, research, tests, strips, clones, positive, joint, pair, balanced-coarse] steps: - uses: actions/checkout@3d3c42e5aac5ba805825da76410c181273ba90b1 # v7 with: diff --git a/Makefile b/Makefile index 84fe8290f3..53956d07c0 100644 --- a/Makefile +++ b/Makefile @@ -23,6 +23,7 @@ verify: $(MAKE) verify-positive $(MAKE) verify-joint $(MAKE) verify-pair + $(MAKE) verify-balanced-coarse $(MAKE) verify-tests verify-community: community-audit-check community-followup-check copied-reversed-producer copied-reversed-check copied-fixed-reversed-producer copied-fixed-reversed-check @@ -428,3 +429,9 @@ pair-assembly-verify: pair-assembly-producer pair-assembly-check .PHONY: verify-pair verify-pair: pair-assembly-verify python3 scripts/audit_pair_candidate.py --check docs/research/community-pair-arithmetic.json + +.PHONY: verify-balanced-coarse balanced-coarse-verify +verify-balanced-coarse: balanced-coarse-verify +balanced-coarse-verify: + python3 scripts/experiments/pr62_exploration/audit_balanced_coarse.py --check certificates/balanced-coarse-independent-audit.json + python3 scripts/experiments/verify_balanced_coarse.py diff --git a/NOTICE b/NOTICE index b565637758..901d0e2c23 100644 --- a/NOTICE +++ b/NOTICE @@ -302,3 +302,10 @@ inherited PR #48 sources. The stacked witness in research/pair-assembly/frame uses eumemic's PR #57 joint frame compiler unchanged; its driver and verifier are adaptations of PR #57's skip_frame_compiler.py, skip_frame_compose.py and verify_skip_frame.py. Original notices are retained. + +Balanced coarse-column sums (eumemic, with OpenAI Codex assistance): +Reassociates PR62 coarse sums into shared two-edge column sums, compiled +with PR57 joint frames and PR60 rank-first slot reclamation. PR62 graph: +Avi Eisenberg / ikeboy with Anthropic Claude assistance; PR60 priority: +Chafik Boukhalfa with OpenAI Codex assistance; PR63 composition: Dominik +Scholz with OpenAI Codex assistance. All inherited credits are retained. diff --git a/certificates/balanced-coarse-compiler.json b/certificates/balanced-coarse-compiler.json new file mode 100644 index 0000000000..123bb9b8e2 --- /dev/null +++ b/certificates/balanced-coarse-compiler.json @@ -0,0 +1,207 @@ +{ + "axes": { + "23": { + "compiled": { + "all_physical_frame_inclusions": true, + "baseline_pr48_roles": 36432, + "baseline_pr62_stacked_roles": 27918, + "complete_dirty_basis_both_orientations": true, + "dirty_basis_vectors": 31240, + "elementary_xors": 149922, + "h": 23, + "histogram": { + "0": 300883, + "1": 42474, + "10": 467, + "12": 511, + "14": 1958, + "15": 548, + "16": 532, + "17": 464, + "18": 4220, + "19": 7250, + "2": 85317, + "21": 440, + "22": 23, + "3": 10866, + "4": 9561, + "5": 7759, + "6": 2169, + "7": 250, + "8": 1107, + "9": 545 + }, + "mode": { + "matching": true, + "reclaim": true + }, + "rank_mass": 637560, + "roles": 27698, + "scalar": { + "additions": 60730, + "all_additions_disjoint": true, + "all_partial_outputs_exact": true, + "circuit_sha256": "8ce682c9b87c03c2d4767a4d634e9ed4eee2d106521653d79f63693cf324e3cf", + "every_node_has_common_point": true, + "h": 23, + "inputs": 1771, + "merged_additions": 12870, + "partial_outputs": 5336, + "roles": 66066 + }, + "seconds": 30.219927072525024, + "stats": { + "clearing_xors": 4367, + "matched": 34117, + "multi_node_regions": 9246, + "reclaimed": 2365, + "regions": 52473 + } + }, + "gzip_sha256": "012b7526ecc14165fa8276c41070072ead8e71bc12686a17f7889ea210cd19f2", + "replay": { + "elementary_xors": 149922, + "full_basis_vectors": 31240, + "h": 23, + "histogram": { + "0": 163524, + "1": 42474, + "2": 85317, + "3": 10866, + "4": 9561, + "5": 7759, + "6": 2169, + "7": 250, + "8": 1107, + "9": 545, + "10": 467, + "12": 511, + "14": 1958, + "15": 548, + "16": 532, + "17": 464, + "18": 4220, + "19": 7250, + "21": 440, + "22": 23 + }, + "output_roles": 5336, + "rank_mass": 637560, + "roles": 27698, + "status": "independent serialized word, exact frames, full input and dirty basis both orientations PASS", + "word_length": 624482 + }, + "word_sha256": "60e45d49e144780f9319cb614f18180d99d6879434a0f03b4d94f6d766159d06" + }, + "25": { + "compiled": { + "all_physical_frame_inclusions": true, + "baseline_pr48_roles": 48329, + "baseline_pr62_stacked_roles": 36586, + "complete_dirty_basis_both_orientations": true, + "dirty_basis_vectors": 40900, + "elementary_xors": 207715, + "h": 25, + "histogram": { + "0": 416532, + "1": 55192, + "10": 528, + "12": 677, + "13": 2, + "14": 531, + "16": 3087, + "17": 851, + "18": 528, + "19": 372, + "2": 119356, + "20": 5436, + "21": 9594, + "23": 506, + "24": 25, + "3": 14076, + "4": 15113, + "5": 10330, + "6": 2178, + "7": 441, + "8": 1751, + "9": 664 + }, + "mode": { + "matching": true, + "reclaim": true + }, + "rank_mass": 908100, + "roles": 36300, + "scalar": { + "additions": 84495, + "all_additions_disjoint": true, + "all_partial_outputs_exact": true, + "circuit_sha256": "e13f9d4d8504e47782c2333d11990a352200bcc8b3c5000aa55c4d04032caa31", + "every_node_has_common_point": true, + "h": 25, + "inputs": 2300, + "merged_additions": 18480, + "partial_outputs": 6925, + "roles": 91420 + }, + "seconds": 53.43013668060303, + "stats": { + "clearing_xors": 5811, + "matched": 49280, + "multi_node_regions": 12175, + "reclaimed": 3190, + "regions": 73695 + } + }, + "gzip_sha256": "209505f0febd8b26791895cc6182cf3bf3963e17488d86fe9b6d421a03b43c23", + "replay": { + "elementary_xors": 207715, + "full_basis_vectors": 40900, + "h": 25, + "histogram": { + "0": 226642, + "1": 55192, + "2": 119356, + "3": 14076, + "4": 15113, + "5": 10330, + "6": 2178, + "7": 441, + "8": 1751, + "9": 664, + "10": 528, + "12": 677, + "13": 2, + "14": 531, + "16": 3087, + "17": 851, + "18": 528, + "19": 372, + "20": 5436, + "21": 9594, + "23": 506, + "24": 25 + }, + "output_roles": 6925, + "rank_mass": 908100, + "roles": 36300, + "status": "independent serialized word, exact frames, full input and dirty basis both orientations PASS", + "word_length": 863060 + }, + "word_sha256": "e4b0ac34c0d79090516c26dc15526f1d6b0e99e283716e5a4f6d33d5ca0c1d9d" + } + }, + "source": { + "attribution": "PR62 graph: Avi Eisenberg / ikeboy with Anthropic Claude assistance. PR57 compiler: eumemic with OpenAI Codex assistance. PR60 priority: Chafik Boukhalfa with OpenAI Codex assistance. PR63 composition: Dominik Scholz with OpenAI Codex assistance. New coarse-column factoring and checks prepared with OpenAI Codex assistance. All inherited notices retained.", + "files": { + "../../../certificates/ranked-interval-kappa.json": "3ac44016c8cc8119cfef842708a4a8bf2a0588c738b2e02b24cc682c8667b40d", + "../../../scripts/experiments/balanced_coarse_compiler.py": "bd8169bf9f5df185a8aa4aec22234b4fd483000a1cecc78b71bf32e479af1499", + "../../../scripts/experiments/binary_frame_compiler.py": "bc6910c8bbe8224285164323d3c06e9035ad3eaa55416abc2867ae0066454a0c", + "../../../scripts/experiments/ranked_interval_compiler.py": "46cb34afa613c62adb33939af1f01299177599ba4e09e55c1db26bba3b6006ab" + }, + "scope": "Balanced coarse column-pair sums on pinned PR62 graph; rank-priority joint compilation", + "shared_dependency_manifest": "../pr62/SOURCE.json", + "shared_dependency_manifest_sha256": "4ef81f0fc7943d3ea8cfadd3e975dc707994c7ed4f0ec35d07470e772b35c998" + }, + "status": "Balanced coarse column-pair sums on PR62 with descending-rank joint compilation; complete dirty basis both orientations" +} diff --git a/certificates/balanced-coarse-independent-audit.json b/certificates/balanced-coarse-independent-audit.json new file mode 100644 index 0000000000..8cc759cd0f --- /dev/null +++ b/certificates/balanced-coarse-independent-audit.json @@ -0,0 +1,58 @@ +{ + "results": [ + { + "active_nodes": 62501, + "active_set_exact": true, + "additions": 60730, + "all_additions_disjoint": true, + "all_cores_and_covers_exact": true, + "all_output_coefficients_exact": true, + "complete_output_inventory": true, + "direct_global_coefficient_sha256": "2e855f3c8c27073795e4bedce946f2b4e99a2c2032af38ebdbfafe46aed1f861", + "every_node_has_common_point": true, + "h": 23, + "inputs": 1771, + "outputs": 5336, + "scope": "Scalar DAG only; physical dirty-role and profile checks are separate." + }, + { + "active_nodes": 86795, + "active_set_exact": true, + "additions": 84495, + "all_additions_disjoint": true, + "all_cores_and_covers_exact": true, + "all_output_coefficients_exact": true, + "complete_output_inventory": true, + "direct_global_coefficient_sha256": "9b29e6e70e4a3b48163d0aed254014f2c45a2a3597801741f695e2f48facd059", + "every_node_has_common_point": true, + "h": 25, + "inputs": 2300, + "outputs": 6925, + "scope": "Scalar DAG only; physical dirty-role and profile checks are separate." + } + ], + "scope": "Independent dense global scalar coefficients and core/cover audit of balanced_coarse_compiler.graph. No compilation or new kappa calculation.", + "source_hashes": { + "certificates/ranked-interval-kappa.json": "3ac44016c8cc8119cfef842708a4a8bf2a0588c738b2e02b24cc682c8667b40d", + "references/frame-compiler/balanced-coarse/SOURCE.json": "6a6529574755d9d7ae8df5ba24537d73d55c4569255e92052bd74a7edde39dbe", + "references/frame-compiler/pr48/SOURCE.json": "6ccc673f88d3650d75ed600b082fe2fc2866dd88a172d182a38c1d0cd27d24b3", + "references/frame-compiler/pr48/research/copied-fixed/balanced_assembly.py": "4d27575dcad2b45a281a34054d311409ecd954f373c0c3a62c29bcc843f06a86", + "references/frame-compiler/pr48/research/copied-fixed/certificate.json": "33b3373c04e18a7f4cee33ba68da6ed71934acc3e0179cca6197696be4befa22", + "references/frame-compiler/pr48/research/copied-fixed/changed_graph.py": "375a7ca6cac6d153c1880fd5ea5b4525e5dca9d4ee3018d24d679c219b59c5b3", + "references/frame-compiler/pr48/research/copied-fixed/profiles.cpp": "b9fbd71c746609948b60c441ba4601e88436956fe636d1810f270ce4ce6a63a6", + "references/frame-compiler/pr48/research/copied-fixed/verify.py": "44932182ce6c4d39776650311262ef0ac1ea9b5da7220bc0f728e2789881f84a", + "references/frame-compiler/pr48/scripts/exclusion_circuit.py": "b253f9d7318becda1c1f3b24e2287ed44a9c27fcea00cf9d531afb950d0457a0", + "references/frame-compiler/pr48/scripts/partial_swap/binary_io.hpp": "7e143eb75bb342ac8f0c82a60005e7c35c9ec827de479bf6fb773151f3af5fa1", + "references/frame-compiler/pr48/scripts/partial_swap/paired.py": "ddcecace3a8e04d690914cbd64873ab8dde8c0c3477a255767b0ed6f639bb0c7", + "references/frame-compiler/pr48/scripts/partial_swap/shared.py": "81e9af92cdf38243a540cdcff2062778e449467848d444da37a9553c12ca4c34", + "references/frame-compiler/pr62/LICENSE": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4", + "references/frame-compiler/pr62/NOTICE": "95d7dabb54a327216e007f1e0cf37dd2f138ab31527f2cc5ee0de55e87f274ca", + "references/frame-compiler/pr62/SOURCE.json": "4ef81f0fc7943d3ea8cfadd3e975dc707994c7ed4f0ec35d07470e772b35c998", + "references/frame-compiler/pr62/comparison-pr62.json": "70bc8a24a5565b840a5aac845703819c89c83b8c607acae021f64cf296f10c6e", + "references/frame-compiler/pr62/research/pair-assembly/pair_graph.py": "3d47e89d2649c90800a276bdd0480131def50e0bdf92c122a19494b55bf17420", + "scripts/experiments/balanced_coarse_compiler.py": "bd8169bf9f5df185a8aa4aec22234b4fd483000a1cecc78b71bf32e479af1499", + "scripts/experiments/binary_frame_compiler.py": "bc6910c8bbe8224285164323d3c06e9035ad3eaa55416abc2867ae0066454a0c", + "scripts/experiments/pr62_exploration/audit_balanced_coarse.py": "7293c86b75b995b7d23ae81df28c9c2b99fcbc63a8587cdad4f795c665ccd902", + "scripts/experiments/ranked_interval_compiler.py": "46cb34afa613c62adb33939af1f01299177599ba4e09e55c1db26bba3b6006ab" + } +} diff --git a/certificates/balanced-coarse-kappa.json b/certificates/balanced-coarse-kappa.json new file mode 100644 index 0000000000..f0f34377a2 --- /dev/null +++ b/certificates/balanced-coarse-kappa.json @@ -0,0 +1,1010 @@ +{ + "assembly": { + "absorption_gap": "2374047596111620047417/165352409228455670842918750000000000", + "constraints": { + "K_dominates_log": "1359021533064706004197092665133/26456385476552907334867000000000000", + "K_geometry": "19842628862802907334867/26456385476552907334867000000000000", + "a_below_b": "203289863/10000000000000", + "a_positive": "513710137/10000000000000", + "alpha_below_one": "52910052910026456385476552907334867/52912770953105814669734000000000000", + "alpha_below_one_fourth": "13225474695197095383176052907334867/52912770953105814669734000000000000", + "alpha_positive": "2718043079358284257447092665133/52912770953105814669734000000000000", + "artificial_boundary": "1481568458859465438587917658722004601/211651083812423258678936000000000000", + "b_below_one_over32": "311783/10000000", + "beta_below_one": "19/20", + "beta_positive": "1/20", + "c_below_one": "4999743144930250513710137/5000000000000000000000000", + "c_positive": "256855069749486289863/5000000000000000000000000", + "cell_above_band": "52910052909973543614523447092665133/105825541906211629339468000000000000", + "compact_leaf": "83719931500513710137/5000000000000000000000000", + "compact_reservations": "1/4000000000000", + "delta_below_one_eighth": "999999999999/8000000000000", + "delta_positive": "1/8000000000000", + "epsilon_below_one": "1359021552907334867/26456385476552907334867", + "epsilon_positive": "26455026455000000000000/26456385476552907334867", + "g1_above_kappa": "670905827298269163561343/661409636913822683371675000000000000", + "g2_above_kappa": "131943/50000000000000", + "g3_above_kappa": "2374047596111620047417/165352409228455670842918750000000000", + "g4_above_kappa": "131943/50000000000000", + "g5_above_kappa": "2060198433817039891632369/5291277095310581466973400000000000000", + "g6_above_kappa": "4705836981472330625119069/5291277095310581466973400000000000000", + "g7_above_kappa": "661341685836848222455623269163561343/661409636913822683371675000000000000", + "gamma_sublinear": "1/2000000000000", + "guard_width": "1359021552907334867/26456385476552907334867", + "lambda_above_internal": "513710137/10000000000000000000000000", + "lambda_above_sigma": "203289863000513710137/10000000000000000000000000", + "lambda_above_tau": "513710137/10000000000000000000000000", + "lambda_prime_above_lambda": "513710137/10000000000000000000000000", + "lambda_prime_below_one": "256855068499486289863/5000000000000000000000000", + "literal_scalar_guard": "9693793493753822316795466474748", + "phase_boundary": "2174434458195350310647092665133/42330216762484651735787200000000000", + "phase_leaf_above_bit": "167439863/10000000000000", + "phase_local": "10872172396802293459447092665133/211651083812423258678936000000000000", + "prime_interval_packing": "1359021552907334867/26456385476552907334867", + 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PR57 compiler: eumemic with OpenAI Codex assistance. PR60 priority: Chafik Boukhalfa with OpenAI Codex assistance. PR63 composition: Dominik Scholz with OpenAI Codex assistance. New coarse-column factoring and checks prepared with OpenAI Codex assistance. 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