From 183077b7b3ae12e96eb3a87c1dc08023e6494dca Mon Sep 17 00:00:00 2001 From: "Joseph.Demarest" Date: Thu, 8 Oct 2026 16:21:50 -0400 Subject: [PATCH] feat(research): certify depth-coarse family and adaptive recursion limit --- .github/workflows/depth-coarse.yml | 52 + research/depth-coarse/.gitattributes | 4 + research/depth-coarse/PROOF-BARRIER.md | 142 ++ research/depth-coarse/PROOF.md | 65 + research/depth-coarse/README.md | 79 + research/depth-coarse/SOURCE.json | 71 + research/depth-coarse/axis-23.json | 197 +++ research/depth-coarse/axis-25.json | 205 +++ research/depth-coarse/bindings.py | 113 ++ research/depth-coarse/certificate.json | 811 +++++++++ research/depth-coarse/comparisons/pr71.json | 1547 +++++++++++++++++ research/depth-coarse/comparisons/pr75.json | 1007 +++++++++++ research/depth-coarse/construction.py | 137 ++ .../depth-coarse/independent-receipt.json | 592 +++++++ research/depth-coarse/independent.py | 198 +++ research/depth-coarse/menu-ledger.json | 742 ++++++++ research/depth-coarse/menu.py | 75 + research/depth-coarse/menu/ccc-23.json | 195 +++ research/depth-coarse/menu/ccc-25.json | 203 +++ research/depth-coarse/menu/ccr-23.json | 196 +++ research/depth-coarse/menu/ccr-25.json | 204 +++ research/depth-coarse/menu/crc-23.json | 196 +++ research/depth-coarse/menu/crc-25.json | 204 +++ research/depth-coarse/menu/crr-23.json | 196 +++ research/depth-coarse/menu/crr-25.json | 204 +++ research/depth-coarse/menu/rcc-23.json | 197 +++ research/depth-coarse/menu/rcc-25.json | 205 +++ research/depth-coarse/menu/rcr-23.json | 197 +++ research/depth-coarse/menu/rcr-25.json | 205 +++ research/depth-coarse/menu/rrc-23.json | 197 +++ research/depth-coarse/menu/rrc-25.json | 205 +++ research/depth-coarse/menu/rrr-23.json | 197 +++ research/depth-coarse/menu/rrr-25.json | 205 +++ research/depth-coarse/mutation-controls.json | 14 + research/depth-coarse/selection.json | 4 + research/depth-coarse/vendor/LICENSE | 201 +++ research/depth-coarse/vendor/PR71-NOTICE | 324 ++++ research/depth-coarse/vendor/SOURCE.json | 56 + research/depth-coarse/vendor/pr65-audit.py | 120 ++ research/depth-coarse/vendor/pr65-refine.py | 162 ++ research/depth-coarse/vendor/pr65-schedule.py | 102 ++ .../vendor/pr67-profile-oracle.cpp | 90 + .../vendor/pr69-balanced-coarse.py | 93 + research/depth-coarse/vendor/pr71-engine.py | 275 +++ .../depth-coarse/vendor/pr71-split-graph.py | 122 ++ research/depth-coarse/verify.py | 138 ++ research/depth-coarse/word-23.json.gz | Bin 0 -> 2925372 bytes research/depth-coarse/word-25.json.gz | Bin 0 -> 3946762 bytes tests/test_depth_coarse.py | 72 + 49 files changed, 11016 insertions(+) create mode 100644 .github/workflows/depth-coarse.yml create mode 100644 research/depth-coarse/.gitattributes create mode 100644 research/depth-coarse/PROOF-BARRIER.md create mode 100644 research/depth-coarse/PROOF.md create mode 100644 research/depth-coarse/README.md create mode 100644 research/depth-coarse/SOURCE.json create mode 100644 research/depth-coarse/axis-23.json create mode 100644 research/depth-coarse/axis-25.json create mode 100644 research/depth-coarse/bindings.py create mode 100644 research/depth-coarse/certificate.json create mode 100644 research/depth-coarse/comparisons/pr71.json create mode 100644 research/depth-coarse/comparisons/pr75.json create mode 100644 research/depth-coarse/construction.py create mode 100644 research/depth-coarse/independent-receipt.json create mode 100644 research/depth-coarse/independent.py create mode 100644 research/depth-coarse/menu-ledger.json create mode 100644 research/depth-coarse/menu.py create mode 100644 research/depth-coarse/menu/ccc-23.json create mode 100644 research/depth-coarse/menu/ccc-25.json create mode 100644 research/depth-coarse/menu/ccr-23.json create mode 100644 research/depth-coarse/menu/ccr-25.json create mode 100644 research/depth-coarse/menu/crc-23.json create mode 100644 research/depth-coarse/menu/crc-25.json create mode 100644 research/depth-coarse/menu/crr-23.json create mode 100644 research/depth-coarse/menu/crr-25.json create mode 100644 research/depth-coarse/menu/rcc-23.json create mode 100644 research/depth-coarse/menu/rcc-25.json create mode 100644 research/depth-coarse/menu/rcr-23.json create mode 100644 research/depth-coarse/menu/rcr-25.json create mode 100644 research/depth-coarse/menu/rrc-23.json create mode 100644 research/depth-coarse/menu/rrc-25.json create mode 100644 research/depth-coarse/menu/rrr-23.json create mode 100644 research/depth-coarse/menu/rrr-25.json create mode 100644 research/depth-coarse/mutation-controls.json create mode 100644 research/depth-coarse/selection.json create mode 100644 research/depth-coarse/vendor/LICENSE create mode 100644 research/depth-coarse/vendor/PR71-NOTICE create mode 100644 research/depth-coarse/vendor/SOURCE.json create mode 100644 research/depth-coarse/vendor/pr65-audit.py create mode 100644 research/depth-coarse/vendor/pr65-refine.py create mode 100644 research/depth-coarse/vendor/pr65-schedule.py create mode 100644 research/depth-coarse/vendor/pr67-profile-oracle.cpp create mode 100644 research/depth-coarse/vendor/pr69-balanced-coarse.py create mode 100644 research/depth-coarse/vendor/pr71-engine.py create mode 100644 research/depth-coarse/vendor/pr71-split-graph.py create mode 100644 research/depth-coarse/verify.py create mode 100644 research/depth-coarse/word-23.json.gz create mode 100644 research/depth-coarse/word-25.json.gz create mode 100644 tests/test_depth_coarse.py diff --git a/.github/workflows/depth-coarse.yml b/.github/workflows/depth-coarse.yml new file mode 100644 index 0000000000..f87ca190b9 --- /dev/null +++ b/.github/workflows/depth-coarse.yml @@ -0,0 +1,52 @@ +name: Verify depth-coarse family + +on: + push: + pull_request: + workflow_dispatch: + +permissions: + contents: read + +jobs: + selected: + runs-on: ubuntu-24.04 + timeout-minutes: 20 + strategy: + fail-fast: false + matrix: + python-version: ['3.11', '3.13', '3.14'] + steps: + - uses: actions/checkout@3d3c42e5aac5ba805825da76410c181273ba90b1 + with: + persist-credentials: false + - uses: actions/setup-python@5fda3b95a4ea91299a34e894583c3862153e4b97 + with: + python-version: ${{ matrix.python-version }} + - name: Regenerate selected words and verify exact certificate + run: python3 research/depth-coarse/verify.py --regenerate + - name: Independently verify the root and finite-family ceiling + run: python3 research/depth-coarse/independent.py + - name: Check mathematical and adversarial controls + run: python3 -m unittest discover -s tests -p test_depth_coarse.py -v + - name: Require unchanged source and certificates + run: git diff --exit-code + + family: + runs-on: ubuntu-24.04 + timeout-minutes: 20 + strategy: + fail-fast: false + matrix: + choice: [ccc, ccr, crc, crr, rcc, rcr, rrc, rrr] + steps: + - uses: actions/checkout@3d3c42e5aac5ba805825da76410c181273ba90b1 + with: + persist-credentials: false + - uses: actions/setup-python@5fda3b95a4ea91299a34e894583c3862153e4b97 + with: + python-version: '3.13' + - name: Regenerate and replay both axes for this family member + run: python3 research/depth-coarse/verify.py --menu-choice ${{ matrix.choice }} + - name: Require unchanged source and certificates + run: git diff --exit-code diff --git a/research/depth-coarse/.gitattributes b/research/depth-coarse/.gitattributes new file mode 100644 index 0000000000..e847ceb71b --- /dev/null +++ b/research/depth-coarse/.gitattributes @@ -0,0 +1,4 @@ +# Preserve byte-exact contributor snapshots and source manifests. +vendor/** -text +# Bind the selected archives as bytes; regeneration checks canonical raw words. +*.gz -text diff --git a/research/depth-coarse/PROOF-BARRIER.md b/research/depth-coarse/PROOF-BARRIER.md new file mode 100644 index 0000000000..e8346c0166 --- /dev/null +++ b/research/depth-coarse/PROOF-BARRIER.md @@ -0,0 +1,142 @@ +# Optimal scalar recursion power within the frozen depth-coarse family + +This companion concerns the finite family of 64 complete interchange profiles +obtained by choosing one word in `{c,r}^3` for each of the two axes, h=23 and +h=25. Those letters select row/column regrouping at the **first three internal +weighted-exclusion construction levels**, uniformly across the axis's common +points; deeper levels use columns. This happens before a fixed word is compiled. +It is not arbitrary internal per-node row/column assignment, nor a change to +unit completion or carry exchange. The letters do not represent choices made +at recursion depths of a growing-width interchange invocation. The latter +choices are the subject of the theorem below. + +The scalar regrouping comes from eumemic's PR69; the anchored split and paid +compiler come from PR71 and its credited predecessors. This companion proves +a mathematical limitation of adaptive selection among the supplied complete +profiles. It does not claim a record multiplication bound, worldwide novelty, +an unconditional all-size theorem, or optimality over other circuits. + +## Fixed profiles and exact selection + +For profile j let m=575, W_j be its total physical role divisor, and n_{j,t} +its **complete** positive child multiplicity, including all endpoint copies, +exterior banks, data corners, physical growth and actual axis-profile children. +Every child width satisfies 1<=t<=529=m produces +children with width t floor(e/m), each at relative logical volume 1/W_j. +Define + + M_j(alpha) = sum_t (n_{j,t}/W_j)(t/m)^alpha. + +These n/W coefficients are relative-volume weights, not probabilities. +In this family M_j(0)>1 and M_j(1)=1-1846900/(575 W_j)<1. Each M_j is strictly +decreasing and has one root alpha_j in (0,1). Write + + alpha_* = min_j alpha_j, a_* = 1-alpha_*. + +The independent arithmetic receipt checks the selected `rcr`/`rrr` profile +below one at its accepted rational saving a, its next saving grid point above +one, and every one of the other 63 profiles above one at a by **lower** +moment bounds. Thus the selected profile has the unique smallest alpha_j. +This certifies the strongest scalar characteristic within this frozen family; +it does not follow merely from comparing W or rank mass. + +## A floor-exact adaptive barrier + +Assume the inherited complete interchange interfaces for all profiles. Consider +any finite charged recursive tree which chooses one of them at each node, +according to width, depth, orientation, role, previous choices or a random +choice. Each occurrence retains its own relative volume; nonrecursive charges +are nonnegative. At any elementary leaf assume work at least c_0 V e for one +fixed c_0>0. A fixed bounded-width elementary implementation meets this +condition after choosing its fixed constant c_0. + +**Theorem.** Every such complete-tree accounting has work at least + + [c_0/(1+D)^alpha_*] V(e+D)^alpha_*, D=13225/2. + +Consequently adaptive profile switching cannot improve the scalar recursion +power beyond the best standalone root in this family. + +**Proof.** More generally take D=max_{j,t} tm_j/(m_j-t) for any finite menu. +Here t<=529 and m=575, so D=529*575/(575-529)=13225/2 suffices. For every +legal recursive width, + + t floor(e/m)+D >= (t/m)(e+D), + +because floor(e/m)>=e/m-1 and D(1-t/m)>=t. Since alpha_* is positive and +M_j(alpha_*)>=M_j(alpha_j)=1, + + sum_t (n_{j,t}/W_j)[t floor(e/m)+D]^alpha_* + >= (e+D)^alpha_* M_j(alpha_*) >= (e+D)^alpha_*. + +The function e/(e+D)^alpha_* increases on e>0, so for e>=1, + + e >= (e+D)^alpha_* /(1+D)^alpha_*. + +This supplies the elementary-leaf lower charge. Every recursive child has +strictly smaller positive integer width. Strong induction, multiplying each +child charge by its actual V/W_j and summing its multiplicity, proves the +bound. Node overhead only adds work. The proof is pointwise for each realized +tree, so randomized selection does not evade it. QED. + +This is a bound on the explicit recursive work functional. An upper recurrence +by itself never implies a lower bound on an arbitrary machine's actual runtime. +An algorithm sharing computations between child occurrences, exploiting a +stronger restricted child contract, choosing unbounded input-dependent new +networks, or changing the leaf cost model is outside the theorem. + +## Sharpness of this scalar power + +For the selected profile alone, the unshifted potential V e^alpha_* does not +increase at a recursive expansion: floors only decrease child widths and its +characteristic equals one. Therefore total elementary-leaf volume is at most +V e^alpha_*, since every positive leaf width is at least one. Let +B_0=sum_t n_t/W>1. Summing volume identities over the whole selected tree gives + + leaf volume = root volume + (B_0-1) total internal-node volume. + +Hence the total internal volume is O(V e^alpha_*). Elementary leaves have +width below the fixed m and cost O(their volume). If the nonrecursive charge +of a node is O(its volume times a common polylogarithmic factor), the selected +tree has work O(V e^alpha_* times that factor). Separate setup and tape costs +remain separately charged. Under these hypotheses the optimal scalar power +for this complete-profile family is exactly alpha_*. + +Finite tensor compositions have characteristic equal to the product of their +constituent characteristics, so every factor is at least one at alpha_*. +Expanding any such macro into its complete tree gives the same obstruction. +The result does not extend to new unbounded network families. + +## Typed recursion and the balanced assembly ceiling + +Merely adding orientation tags cannot improve the root if every type has this +same complete child histogram. Its nonnegative matrix characteristic then has +constant row sum M(alpha), so its spectral radius is exactly M(alpha), by the +all-ones eigenvector and the ordinary sup norm. A genuine multitype improvement +needs independently proved cheaper child-operation contracts, with a positive +vector v satisfying A(alpha)v= j+1 proves persistence.", + "common_cutoff": 14000000000000, + "cutoff_log2_input": { + "alpha": 5999431937, + "compact": 23997727745, + "geometry": 3999931143492, + "guard": 4298721, + "log_p": 25, + "normalization": 14000000000000, + "period": 47995455489, + "phase_cell": 19, + "reservoir": 14, + "stopped_leaf": 252 + }, + "power_checkpoints": [ + { + "log2_input": 14000000000000, + "powers": { + "alpha": { + "exponent": 722991117, + "rhs": 112000000154976, + "rhs_bits": 47 + }, + "compact": { + "exponent": 722991117, + "rhs": 448000000619840, + "rhs_bits": 49 + }, + "leaf": { + "exponent": 666666666666, + "rhs": 3136, + "rhs_bits": 12 + }, + "period": { + "exponent": 722991117, + "rhs": 224000000309880, + "rhs_bits": 48 + }, + "rows": { + "exponent": 722991117, + "rhs": 112000000154976000, + "rhs_bits": 57 + } + } + }, + { + "log2_input": 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2771683137698171397039558468, + "strict_literal_gap": 9693793493753822316795466474748 + } + }, + "fresh_word_receipts": [ + { + "elapsed_seconds": 20.70299999997951, + "gzip_sha256": "5a504019c1521b1f6202a687792327446aa8c696354a270b1d44b64e64d6e70d", + "prepared": { + "R": 27455, + "copied_centers": 23, + "distinct_transitions": 152270, + "frames": 59803, + "h": 23, + "rank_histogram_with_side_growth_split_into_singletons": { + "1": 69189, + "10": 542, + "11": 88, + "12": 674, + "13": 253, + "14": 1927, + "15": 436, + "16": 440, + "17": 484, + "18": 3417, + "19": 6882, + "2": 73597, + "21": 171, + "22": 23, + "3": 10224, + "4": 15387, + "5": 6447, + "6": 1604, + "7": 729, + "8": 1230, + "9": 406 + }, + "rank_mass": 631971, + "singles": 15939, + "transition_events_equal_independent_xor_word_reconstruction": true, + "v": 1771, + "word_sha256": "624dfd880b174dae9a6e87ced46ac8550dc36b4441754cf7b884b12b6782e6fe" + }, + "profile": { + "R": 27455, + "blocks": [ + 0, + 357135, + 21255, + 8005, 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"e74332c962139aff37d68032b1d79c25285b9b6ee8ba112baeb5978fd81e947f", + "status": "PASS fresh full input/dirty basis both orientations, independent literal frame path, exact fixed profiles", + "word_sha256": "624dfd880b174dae9a6e87ced46ac8550dc36b4441754cf7b884b12b6782e6fe" + }, + { + "elapsed_seconds": 22.671999999991385, + "gzip_sha256": "aa67a24ccd38597fece6f267ad48b98676fef0f2755ea917481fc7d355d35097", + "prepared": { + "R": 36015, + "copied_centers": 25, + "distinct_transitions": 212580, + "frames": 84845, + "h": 25, + "rank_histogram_with_side_growth_split_into_singletons": { + "1": 91025, + "10": 790, + "11": 42, + "12": 750, + "13": 148, + "14": 681, + "15": 168, + "16": 2266, + "17": 684, + "18": 566, + "19": 828, + "2": 108045, + "20": 4480, + "21": 8901, + "23": 280, + "24": 25, + "3": 13560, + "4": 19874, + "5": 8381, + "6": 2965, + "7": 1128, + "8": 1440, + "9": 652 + }, + "rank_mass": 900975, + "singles": 20700, + "transition_events_equal_independent_xor_word_reconstruction": true, + "v": 2300, + "word_sha256": "0920e11cb3a52ed892a834f97fcb6af96d34e44190e6d67e11b94f6b7be2ffde" + }, + "profile": { + "R": 36015, + "blocks": [ + 0, + 492613, + 27862, + 10468, + 7884, + 5690, + 5028, + 4101, + 3812, + 3047, + 2491, + 2047, + 1818, + 1443, + 1153, + 898, + 569, + 469, + 271, + 163, + 47, + 13, + 0, + 25, + 0, + 0 + ], + "crt_disagreements": 0, + "crt_matrices": 7445, + "distinct_matrices": 52071, + "field_prime": 2305843009213693951, + "frames": 84845, + "h": 25, + "loss": 600, + "rank_sum": 900975, + "v": 2300 + }, + "replay": { + "elementary_xors": 225726, + "full_basis_vectors": 40615, + "h": 25, + "histogram": { + "0": 242838, + "1": 77225, + "10": 790, + "11": 42, + "12": 750, + "13": 148, + "14": 681, + "15": 168, + "16": 2266, + "17": 684, + "18": 566, + "19": 828, + "2": 114945, + "20": 4480, + "21": 8901, + "23": 280, + "24": 25, + "3": 13560, + "4": 19874, + "5": 8381, + "6": 2965, + "7": 1128, + "8": 1440, + "9": 652 + }, + "output_roles": 6925, + "rank_mass": 900975, + "roles": 36015, + "status": "independent serialized word, exact frames, full input and dirty basis both orientations PASS", + "word_length": 935104 + }, + "status": "PASS fresh full input/dirty basis both orientations, independent literal frame path, exact fixed profiles", + "word_sha256": "0920e11cb3a52ed892a834f97fcb6af96d34e44190e6d67e11b94f6b7be2ffde" + } + ], + "kappa": "257077122735047/5000000000000000000", + "scope": "Fresh changed-word/full-basis/frame/profile/CRT and rational arithmetic validation. Unchanged 4,073,300-pair data geometry and its recovered rational cases inherited from PR71; all-size analytic log/exp enclosure, compiler/frame transfer, finite-alphabet tape, routing, prime-selection/recovery and eventual setup arguments remain conditional.", + "source": { + "attribution": "PR71 Chafik Boukhalfa; PR68 live anchors Dominik Scholz; PR67 profile cost Rohan Arun; PR62 graph Avi Eisenberg; PR57 compiler eumemic; inherited source notices remain.", + "commit": "1bef94fd40a746452548c84a4a8f8834670a3113", + "files": { + "certificates/split-pair-compiler.json": "6561fab8609e8aa3a291a8197cd8b834b0881ee0b9a5b991926c2c93c4d5f884", + "certificates/split-pair-kappa.json": "0fcb53fa374273efab6370953c966e8fa065dbfdba43691843a4788cb2cda42e", + "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/scripts/partial_swap/binary_io.hpp": "7e143eb75bb342ac8f0c82a60005e7c35c9ec827de479bf6fb773151f3af5fa1", + "scripts/experiments/binary_frame_math.py": "1f96e8aafc8ae89f8eeec5d03800131d93d58e01bf8a7fca8feb03702d1740d0", + "scripts/experiments/binary_frame_profile_prepare.py": "8a50381cab00b33e62b3a057d199ba5e19647929135c95b0fd63fc8a8ef7c9b3", + "scripts/experiments/binary_frame_profiles.cpp": "8e2e391d3ee57cbb1372c68e4aa031e1b861321536eabd642ada54e12e678669", + "scripts/experiments/binary_frame_replay.py": "392e78e62d7685c99a5888a7da743ea6c3dcad631af4a743c91e0c09348442bc", + "scripts/experiments/split_pair_engine.py": "58f13f82ce1bb7f2b5549e17628bc6034e5e05cb24db2acb9a91c24820872f70", + "scripts/experiments/split_pair_graph.py": "9d4ee7179f880f9576e81c7ad3a5290fe61380a7531d559ef3cf0939bb30089c" + }, + "native_certificate": "certificates/split-pair-kappa.json", + "verification_adapter_files": { + "batch_axes.py": "cba8d8d2ce2babf4e9ff512af4e07df9a2574a15c4b1748e437a83977aa3359e", + "check_guards.py": "e3fc1be56f80de10c6c5e6dea2713ec42e95cae4f2d5e0fe57846672dd58e44e", + "export_weighted_case.py": "51357229ef731f15b0cb8f5d96dc1a82668fdbeca31e3ad0f491430584193586", + "screen_axes.py": "bf06809c44e26883fcc93aa2dbf98fdf1951742b83ded161e725a84b3d616f98", + "verify_words.py": "1f5b87f98a7b59c35b71f9453deab7861cf805070198ede310cebda535d88f9b" + } + }, + "status": "PASS exact characteristic upper enclosure, all 47 strict constraints and seven margins", + "verifier_sha256": "1f5b87f98a7b59c35b71f9453deab7861cf805070198ede310cebda535d88f9b" +} diff --git a/research/depth-coarse/construction.py b/research/depth-coarse/construction.py new file mode 100644 index 0000000000..eff7c3b7db --- /dev/null +++ b/research/depth-coarse/construction.py @@ -0,0 +1,137 @@ +"""Scratch PR69 coarse-column + PR71 split/anchor/live-cost composition. + +All inherited files remain byte-identical. PR69/eumemic supplies the exact +coarse-column reassociation. PR71/Chafik Boukhalfa and its named predecessors +supply split grouping, global pair anchors, schedules and compiler. This new +composition experiment is prepared with OpenAI Codex assistance. No all-size +theorem or global optimization claim. See audit report for source boundaries. +""" +import sys +if sys.flags.optimize: + raise ValueError('Assertions must remain enabled') +sys.dont_write_bytecode = True +from pathlib import Path +ROOT = Path(__file__).resolve().parents[2] +sys.path.insert(0, str(ROOT/'scripts/experiments')) +import argparse, gzip, hashlib, json, subprocess, types, os, shlex +from collections import Counter +from fractions import Fraction as Q +from math import comb +from bindings import producer, compile_axis +from binary_frame_replay import replay +from binary_frame_profile_prepare import prepare +import binary_frame_math as arithmetic +from bindings import refine, audit + +BEFORE = ''' coarse = {(i, j): self.total([e(a, b) for a in groups[i] for b in groups[j]]) + for i, j in combinations(range(ng), 2)}''' +AFTER = ''' def coarse_sum(i, j): + columns = [self.total([e(a,b) for a in groups[i]]) for b in groups[j]] + return self.total(columns) + coarse = {(i,j):coarse_sum(i,j) for i,j in combinations(range(ng),2)}''' + +def activate(choices='ccc'): + original = producer._graph + path = Path(original.__file__) + raw = path.read_bytes() + assert hashlib.sha256(raw).hexdigest() == '3d47e89d2649c90800a276bdd0480131def50e0bdf92c122a19494b55bf17420' + source = raw.decode() + assert source.count(BEFORE) == 1 + module = types.ModuleType('balanced_split_private_pair_graph') + module.__file__ = str(path) + replacement = ''' def coarse_sum(i, j): + orientation = COARSE_CHOICES[level] if level < len(COARSE_CHOICES) else 'c' + if orientation == 'r': + parts = [self.total([e(a,b) for b in groups[j]]) for a in groups[i]] + else: + parts = [self.total([e(a,b) for a in groups[i]]) for b in groups[j]] + return self.total(parts) + coarse = {(i,j):coarse_sum(i,j) for i,j in combinations(range(ng),2)}''' + assert len(choices)==3 and set(choices)<=set('cr') + module.COARSE_CHOICES = choices + exec(compile(source.replace(BEFORE, replacement), str(path)+':depth-coarse-factoring', 'exec'), module.__dict__) + producer._graph = module + return dict(pr71_head='1bef94fd40a746452548c84a4a8f8834670a3113', + producer_sha256=hashlib.sha256(raw).hexdigest(), + replacement_sha256=hashlib.sha256(replacement.encode()).hexdigest(),choices=choices, + before=BEFORE, after=replacement, attribution='PR69/eumemic column reassociation generalized to deterministic depth row/column choices on PR71/Chafik Boukhalfa split+anchor+cost/live; predecessor notices retained') + +def axis(h, out, pins): + compiled, word = compile_axis(h) + path = out/f'word-{h}.json.gz' + raw = (json.dumps(word, separators=(',', ':'))+'\n').encode() + path.write_bytes(gzip.compress(raw, mtime=0)) + receipt = replay(path) + binfile = out/f'transitions-{h}.bin' + prepared = prepare(path, binfile) + profiler = out/f'profiles-{h}' + if not profiler.exists(): + subprocess.run([*shlex.split(os.environ.get('CXX','c++')),'-O3','-std=c++17','-I',str(ROOT/'references/frame-compiler/pr48/scripts/partial_swap'),str(ROOT/'scripts/experiments/binary_frame_profiles.cpp'),'-o',str(profiler)], check=True) + subprocess.run([str(profiler),str(binfile)], check=True) + profile = json.loads(Path(str(binfile)+'.profiles.json').read_text()) + assert profile['crt_disagreements'] == 0 + assert profile['R'] == compiled['roles'] == receipt['roles'] == prepared['R'] + assert sum(t*n for t,n in enumerate(profile['blocks'])) == h*profile['R']+h*(h-1) + result = dict(source=pins, compiled=compiled, replay=receipt, transitions=prepared, profile=profile, + word_sha256=hashlib.sha256(raw).hexdigest(),gzip_sha256=hashlib.sha256(path.read_bytes()).hexdigest()) + (out/f'axis-{h}.json').write_text(json.dumps(result,indent=2,sort_keys=True)+'\n') + print('PASS AXIS',h,'PHYSICAL ROLES',profile['R'],'CRT',profile['crt_matrices'],flush=True) + +def compose(out,require_improvement=True): + axes = [json.loads((out/f'axis-{h}.json').read_text()) for h in (23,25)] + m,N = 575,comb(23,3)*comb(25,3) + W=2*N+sum((N//x['profile']['v'])*x['profile']['R'] for x in axes) + rows=Counter({1:19*N,21:2*N,17:2*N,481:2*N}) + for x in axes: + p=x['profile'];h=p['h'];rep=N//p['v'];bank=rep*p['R'] + assert p['blocks'][0]==p['blocks'][h]==0 + rows.update({t:n*rep for t,n in enumerate(p['blocks']) if t and n}) + rows.update({h:bank,m-2*h:bank}) + rows.update({1:2*N,h-2:2*N}) + mass=sum(t*n for t,n in rows.items()) + assert mass==m*W-1846900 and max(rows)==529 + d=10**18;lo,hi=1,refine.floor_scaled(Q(717,10**7),d) + while lo+11:hi=mid + else:raise ValueError('Inconclusive exact enclosure') + saving=Q(lo,d);accepted=refine.exact_moment(m,W,rows,saving);rejected=refine.exact_moment(m,W,rows,Q(hi,d)) + assert accepted['upper']<11 and assembly['kappa']>Q(old['kappa']) + result=dict(status='PASS selected finite words, dirty replay, literal frame reconstruction, CRT profiles and exact arithmetic only', + W=W,total_rank=mass,deficit=m*W-mass,roles={str(x['profile']['h']):x['profile']['R'] for x in axes}, + bit_saving=saving,kappa=assembly['kappa'],child_multiplicities=dict(rows),accepted=accepted,rejected=rejected, + independent_accepted=independent,independent_rejected=independent_rejected, + exactness=[arithmetic.exactness(h) for h in (23,25)], + assembly=assembly,old_pr71_lower_at_new_saving=oldlower, + old_pr71_kappa=Q(old['kappa']),gain=assembly['kappa']-Q(old['kappa']),relative_gain=assembly['kappa']/Q(old['kappa'])-1, + scope='All-size transfer, tape, routing, primes, recovery and analytic hypotheses remain inherited; full repository checks not run') + (out/'certificate.json').write_text(json.dumps(arithmetic.js(result),indent=2,sort_keys=True)+'\n') + print('RESULT',json.dumps(arithmetic.js({k:result[k] for k in ('W','roles','bit_saving','kappa','gain','relative_gain','old_pr71_lower_at_new_saving')})),flush=True) + +def check_axis(h,out): + selected=json.loads((out/f'axis-{h}.json').read_text()) + path=out/f'word-{h}.json.gz';packed=path.read_bytes() + assert hashlib.sha256(packed).hexdigest()==selected['gzip_sha256'] + assert hashlib.sha256(gzip.decompress(packed)).hexdigest()==selected['word_sha256'] + assert json.loads(json.dumps(replay(path)))==selected['replay'] + target=out/f'check-transitions-{h}.bin' + prepared=prepare(path,target) + assert json.loads(json.dumps(prepared))==selected['transitions'] + profiler=out/f'profiles-{h}' + if not profiler.exists():profiler=out/'profiles' + subprocess.run([str(profiler),str(target)],check=True) + profile=json.loads(Path(str(target)+'.profiles.json').read_text()) + assert profile==selected['profile'] + print('PASS independently rechecked axis',h,'roles',profile['R'],'CRT',profile['crt_matrices'],flush=True) diff --git a/research/depth-coarse/independent-receipt.json b/research/depth-coarse/independent-receipt.json new file mode 100644 index 0000000000..7fc2f0069d --- /dev/null +++ b/research/depth-coarse/independent-receipt.json @@ -0,0 +1,592 @@ +{ + "status": "PASS independent exact selected-profile mathematical audit", + "scope": "Finite grammar lemma reviewed, complete profile reconstructed, independent rational root and 47 margins; all-size transfer conditional; no physical replay in this checker", + "source_hashes": { + "research/depth-coarse/selection.json": "c4a1f257940a17fb7326d23c6ab280e6ec3e105b1e9966f3c040cc2c47be3a5a", + "research/depth-coarse/certificate.json": "922b3fa81d0161d7777230909b95e18678033e507c8f652f09cf5b81e25a130d", + "research/depth-coarse/menu-ledger.json": "34dfa71b67ca266f1ead4f2ef200d54c67ae5ffaba1b811f9027f440b908eefc", + "research/depth-coarse/axis-23.json": "001f6566d6cbe0955bc5877fe6748d8874eb53c857b08223b5adb1009c02e14c", + "research/depth-coarse/axis-25.json": "2c7309dc9067a37cc4758152439265f871268da1c19c4e8ed9ed015127520c48", + "research/depth-coarse/comparisons/pr71.json": 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"100000000554243466678224655116097368424209152649271/100000000000000000000000000000000000000000000000000" + }, + { + "h23": "rrr", + "h25": "rcr", + "W": 134357858, + "lower": "100000000064288315788447902048246238237106772920999/100000000000000000000000000000000000000000000000000", + "upper": "100000000064288315788447902048246238237106772921/100000000000000000000000000000000000000000000000" + }, + { + "h23": "rrr", + "h25": "rrc", + "W": 134393278, + "lower": "100000000529152029319812135107344057442096878615289/100000000000000000000000000000000000000000000000000", + "upper": "10000000052915202931981213510734405744209687861529/10000000000000000000000000000000000000000000000000" + }, + { + "h23": "rrr", + "h25": "rrr", + "W": 134357858, + "lower": "100000000043722383589080297355164703950342825259911/100000000000000000000000000000000000000000000000000", + "upper": "12500000005465297948635037169395587993792853157489/12500000000000000000000000000000000000000000000000" + } + ], + "residual_proof_obligations": [ + "Source/word closure and physical replay verified in separate checker.", + "Ambient framed lift, all-size residual/row/remainder compiler and fixed-tape simulation inherited.", + "Analytic/routing/prime/setup/precision/recovery multiplication interfaces inherited.", + "Not global optimality, unconditional multiplication theorem or measured runtime gain." + ] +} diff --git a/research/depth-coarse/independent.py b/research/depth-coarse/independent.py new file mode 100644 index 0000000000..1129fce037 --- /dev/null +++ b/research/depth-coarse/independent.py @@ -0,0 +1,198 @@ +"""Independent selected grammar-profile/root/47-margin audit; no package imports.""" +import sys +if sys.flags.optimize: + raise ValueError("Assertions must remain enabled") +sys.dont_write_bytecode = True +from pathlib import Path +from fractions import Fraction as F +from collections import Counter +from math import comb,factorial +from hashlib import sha256 +import json,itertools,argparse + +SCALE=10**50 +def outward(q,up=False): + q*=SCALE + return F(-(-q.numerator//q.denominator) if up else q.numerator//q.denominator,SCALE) +def small_log(x): + z=(x-1)/(x+1) + low=2*sum((z**(2*k+1)/F(2*k+1) for k in range(64)),F()) + return low,low+2*z**129/(129*(1-z*z)) +LN2=small_log(F(2)) +def log_bounds(x): + assert x>=1 + k=0 + while x>2:x/=2;k+=1 + lo,hi=small_log(x) + return outward(lo+k*LN2[0]),outward(hi+k*LN2[1],True) +def exp_bounds(x): + assert 0<=x<1 + low=sum((x**k/F(factorial(k)) for k in range(14)),F()) + return low,low+x**14/F(factorial(14))/(1-x/15) +def bracket(p): + denominator=10**22;low,high=1,10**18 + assert p['moment'](F(low,denominator))[1]<11: + mid=(high+low)//2;l,h=p['moment'](F(mid,denominator)) + if h<1:low=mid + elif l>1:high=mid + else:raise ArithmeticError('Enclosure inconclusive') + return F(low,denominator),F(high,denominator) +def string_data(x): + if isinstance(x,F):return str(x) + if isinstance(x,dict):return {str(k):string_data(v) for k,v in x.items()} + if isinstance(x,(list,tuple)):return [string_data(v) for v in x] + return x + +PACKAGE=Path(__file__).resolve().parents[2] +BASE=Path(__file__).resolve().parent +PINNED={} + +def read(path): + raw=path.read_bytes();PINNED[path.relative_to(PACKAGE).as_posix()]=sha256(raw).hexdigest() + return json.loads(raw) + +def make_profile(axes): + m,N=575,comb(23,3)*comb(25,3) + rows=Counter({1:19*N,21:2*N,17:2*N,481:2*N}) + W=2*N + for h,x in zip((23,25),axes): + p=x['profile'];R=p['R'];v=comb(h,3) + assert p['h']==h and p['v']==v and R==x['compiled']['roles']==x['replay']['roles'] + assert p['crt_disagreements']==0 and p['blocks'][0]==p['blocks'][h]==0 + assert len(p['blocks'])==h+1 and all(type(n)is int and n>=0 for n in p['blocks']) + assert sum(t*n for t,n in enumerate(p['blocks']))==h*R+h*(h-1) + rep=N//v;bank=rep*R;W+=bank + rows.update({t:rep*n for t,n in enumerate(p['blocks']) if t and n}) + rows.update({h:bank,m-2*h:bank}) + rows.update({1:2*N,h-2:2*N}) + mass=sum(t*n for t,n in rows.items()) + L=sum((N//comb(h,3))*h*(h-1) for h in (23,25)) + assert mass==m*W-N+L==m*W-1846900 and max(rows)==529 + logs={t:log_bounds(F(m,t)) for t in rows} + def moment(a): + lo,hi=F(),F() + for t,n in rows.items(): + l,h=logs[t];weight=F(t*n,m*W) + lo+=weight*exp_bounds(a*l)[0];hi+=weight*exp_bounds(a*h)[1] + return outward(lo),outward(hi,True) + return dict(m=m,W=W,rows=rows,mass=mass,moment=moment) + +def half(m,r): + n=1 + while m**n<=2*r**n:n+=1 + return n + +def independent_assembly(cert,bridge): + recorded=cert['assembly']['assembly'];p=recorded['parameters'] + a,b,h,beta,kappa=map(F,(cert['bit_saving'],'717/10000000','1/1000000000000','1/20',cert['kappa'])) + tau,sigma=1-a,1-b;q=a*(1-2*h);lp=1-q;c=q+h/4;eps=(1-h)/(1+q) + lam=(tau+lp)/2;G=eps*q;r=(G+1-eps)/2;delta=h/8 + phase=bridge['complex'];mc,Wc,s,scalar=(phase[k] for k in ('m','W','s','scalar_group_upper')) + E=64*(Wc+mc+scalar+1)**3;B=s+E;C0=32*mc*B*B + literal=2*scalar*Wc**2+8*s+4*Wc+4+32*mc + semantic=dict(E=E,B=B,C0=C0,C1=1,literal_charge=literal,strict_literal_gap=E-literal, + induction_gap=2*B*(mc-phase['maxchild'])-(s+E)) + assert all(F(bridge['semantic'][k])==v for k,v in semantic.items()) + assert E>literal and semantic['induction_gap']>=0 and C0>2*B+18 + bit=bridge['bit'];bit=dict(bit,W=cert['W']) + coeff=0 + for data in (bit,phase): + degree=half(data['m'],data['maxchild']);bits=data['W'].bit_length() + assert data['halving_degree']==degree and data['wire_bits']==bits + coeff+=degree*bits + stock=bridge['rows'];gap=stock['degree']-F(51,25)*coeff + assert coeff==stock['coefficient'] and gap==F(stock['degree_gap']) and gap>0 + assert stock['suffix_slope']==4*stock['degree'] + internal=tau+(1-beta)*max(sigma-tau,F());leaf=sigma+beta*(1-sigma) + margins=dict(g1=1-eps,g2=a,g3=G,g4=a,g5=min(1-eps-delta,r-delta),g6=1-eps-delta,g7=eps) + slacks=dict(a_positive=a,a_below_b=b-a,b_below_one_over32=F(1,32)-b, + beta_positive=beta,beta_below_one=1-beta,phase_leaf_above_bit=(1-beta)*b-a, + q_positive=q,q_below_internal=1-internal-q,q_below_leaf=1-leaf-q,c_positive=c, + c_below_one=1-c,q_below_reservations=c-q,lambda_above_tau=lam-tau, + lambda_above_sigma=lam-sigma,lambda_above_internal=lam-internal, + lambda_prime_above_lambda=lp-lam,compact_leaf=lp-leaf, + compact_reservations=lp-(1-c),lambda_prime_below_one=q, + epsilon_positive=eps,epsilon_below_one=1-eps,guard_width=1-eps, + K_geometry=1-eps*(1+c),K_dominates_log=eps*c,record_suffix=1-eps, + phase_local=1-eps-delta,phase_boundary=r-delta,gamma_sublinear=1-eps-r, + cell_above_band=eps-(1-r)/2,prime_interval_packing=1-eps,alpha_positive=r, + alpha_below_one=1-r,alpha_below_one_fourth=F(1,4)-r, + delta_positive=delta,delta_below_one_eighth=F(1,8)-delta, + short_record_fallback=eps-a,small_field_exposure=1-eps-G, + artificial_boundary=8-eps+r-delta-G,literal_scalar_guard=E-literal,row_product_gap=gap) + slacks.update({name+'_above_kappa':value-kappa for name,value in margins.items()}) + params=dict(a_bit=a,a_complex=b,tau=tau,sigma=sigma,beta=beta,h=h,q=q,c=c, + epsilon=eps,lambda_=lam,lambda_prime=lp,alpha_squared_power=r,delta=delta, + C0=C0,C1=1,kappa=kappa) + assert len(slacks)==47 and all(value>0 for value in slacks.values()) + assert {k:F(v) for k,v in recorded['constraints'].items()}==slacks + assert {k:F(v) for k,v in recorded['parameters'].items()}==params + assert {k:F(v) for k,v in recorded['margins'].items()}==margins + assert min(margins.values())==G and G-kappa==F(recorded['absorption_gap']) + assert 1-eps-G==h and 1-eps-r==h/2 and 1-eps*(1+c)==h-eps*h/4 + assert G<=kappa+F(1,10**18) # next kappa grid genuinely fails g3. + return dict(parameters=params,constraints=slacks,margins=margins,absorption_gap=G-kappa, + next_kappa_rejected_by_g3=True,semantic_and_product_stock_recomputed=True) + +def main(): + global PACKAGE,BASE + cli=argparse.ArgumentParser() + cli.add_argument('--package-root',type=Path,default=PACKAGE) + cli.add_argument('--output',type=Path,help='Intentionally write a new independent receipt; default checks retained receipt') + args=cli.parse_args();PACKAGE=args.package_root.resolve();BASE=PACKAGE/'research/depth-coarse' + selection=read(BASE/'selection.json');cert=read(BASE/'certificate.json') + ledger=read(BASE/'menu-ledger.json') + assert ledger['selected']==selection and len(ledger['results'])==64 + axes=[read(BASE/f'axis-{h}.json') for h in (23,25)] + for h,x in zip((23,25),axes):assert x['source']['choices']==selection[str(h)] + p=make_profile(axes) + assert p['W']==cert['W'] and p['mass']==cert['total_rank'] + assert p['rows']=={int(t):n for t,n in cert['child_multiplicities'].items()} + a=F(cert['bit_saving']);next_a=a+F(1,10**18) + accepted=p['moment'](a);rejected=p['moment'](next_a) + assert accepted[1]<11 and F(cert['kappa'])>F(oldcert['kappa']) + exclusions[name]=outward(total) + menu_result=[] + choices=[''.join(x) for x in itertools.product('cr',repeat=3)] + for c23,c25 in itertools.product(choices,repeat=2): + menu_axes=[read(BASE/f'menu/{c}-{h}.json') for h,c in ((23,c23),(25,c25))] + trial=make_profile(menu_axes) + lo,hi=trial['moment'](a) + if (c23,c25)==(selection['23'],selection['25']): + assert trial['W']==p['W'] and trial['rows']==p['rows'] and hi<1 + else:assert lo>1 + menu_result.append(dict(h23=c23,h25=c25,W=trial['W'],lower=lo,upper=hi)) + # Reject changing input bytes while the audit was running. + for rel,digest in PINNED.items():assert sha256((PACKAGE/rel).read_bytes()).hexdigest()==digest + ceiling=root_interval[1]/(1+root_interval[1]) + assert 01:hi=mid + else:raise ArithmeticError('Inconclusive exact menu enclosure') + saving=Q(lo,d);lower=refine.exact_moment(575,W,rows,Q(hi,d))['lower'];upper=refine.exact_moment(575,W,rows,saving)['upper'] + assert upper<11,'Menu winner not strictly separated' + paths=sorted((HERE/'menu').glob('*.json')) + return arithmetic.js(dict(scope='Exact maximum among 64 frozen whole-profile choices at 1e18 grid; every nonselected profile strictly rejected at selected saving; no broader optimum claimed', + choices=CHOICES,selected={'23':best['h23'],'25':best['h25']},grid_denominator=d, + profile_source_hashes={str(p.relative_to(HERE)):hashlib.sha256(p.read_bytes()).hexdigest() for p in paths},results=results)) + +def check(): + ledger=json.loads((HERE/'menu-ledger.json').read_text());rows=ledger['results'];d=ledger['grid_denominator'] + assert d==10**18 and ledger['choices']==CHOICES + assert len(rows)==64 and {(x['h23'],x['h25']) for x in rows}==set(itertools.product(CHOICES,repeat=2)) + for name,digest in ledger['profile_source_hashes'].items(): + assert hashlib.sha256((HERE/name).read_bytes()).hexdigest()==digest + chosen=next(x for x in rows if (x['h23'],x['h25'])==(ledger['selected']['23'],ledger['selected']['25'])) + bridge=json.loads((HERE/'comparisons/pr71.json').read_text())['finite_bridge'] + for row in rows: + W,children=profile(row['h23'],row['h25']);assert W==row['W'] + a=Q(row['bit_saving']);n=Q(row['next_bit_saving']);assert n==a+Q(1,d) + upper=refine.exact_moment(575,W,children,a)['upper'];lower=refine.exact_moment(575,W,children,n)['lower'] + assert upper==Q(row['accepted_upper']) and lower==Q(row['rejected_lower']) and upper<11 + return ledger + +if __name__=='__main__': + p=argparse.ArgumentParser();p.add_argument('--record',action='store_true');a=p.parse_args();result=build() if a.record else check() + path=HERE/'menu-ledger.json' + if a.record:path.write_text(json.dumps(result,indent=2,sort_keys=True)+'\n') + else:assert result==json.loads(path.read_text()),'Menu ledger changed' + print('PASS 64 exact combinations; selected '+str(result['selected']),flush=True) diff --git a/research/depth-coarse/menu/ccc-23.json b/research/depth-coarse/menu/ccc-23.json new file mode 100644 index 0000000000..6df77d5a1c --- /dev/null +++ b/research/depth-coarse/menu/ccc-23.json @@ -0,0 +1,195 @@ +{ + "compiled": { + "all_physical_frame_inclusions": true, + "baseline_pr48_roles": 36432, + "baseline_pr65_roles": 27918, + "complete_dirty_basis_both_orientations": true, + "dirty_basis_vectors": 30880, + "elementary_xors": 161763, + "graph_configuration": { + "anchor": true, + "groups": [ + 1, + 1, + 2 + ], + "schedule": "cover-core" + }, + "h": 23, + "histogram": { + "0": 324996, + "1": 58279, + "2": 80746, + "3": 9986, + "4": 14480, + "5": 6448, + "6": 1969, + "7": 717, + "8": 1214, + "9": 521, + "10": 528, + "11": 102, + "12": 663, + "13": 198, + "14": 1900, + "15": 305, + "16": 438, + "17": 538, + "18": 3409, + "19": 6478, + "21": 426, + "22": 23 + }, + "mode": { + "matching": true, + "reclaim": true + }, + "paid_clones": 0, + "pending_cost_uses_next_use_frame": true, + "pending_live_controls": true, + "rank_mass": 629280, + "reclamation_order": "all eligible retired ranks, exact integer profile cost, XOR count, slot ID", + "roles": 27338, + "scalar": { + "additions": 67460, + "all_additions_disjoint": true, + "all_partial_outputs_exact": true, + "circuit_sha256": "53763e256dd7343a2b000b3226e6230e6cf7a9dfa80e094a02e6ded16e266003", + "every_node_has_common_point": true, + "h": 23, + "inputs": 1771, + "merged_additions": 11937, + "partial_outputs": 5336, + "roles": 72796 + }, + "source_pr65_head": "49e84f939d15b618b50714eb039cabf97c74256a", + "source_pr67_head": "b3745601e947a94316bf25c2c6263d93c06e3364", + "source_pr68_head": "734c58e225e9d2254570c3b50296ed96943f62ea", + "stats": { + "clearing_xors": 3543, + "live_anchor_candidates": 72984, + "live_anchor_xors": 65, + "matched": 41730, + "multi_node_regions": 8694, + "reclaimed": 2072, + "regions": 59801 + } + }, + "gzip_sha256": "646801ae832d136ca4dd4c0cd95bfae9ca880b1d580ec19185a06effbd498ec0", + "profile": { + "R": 27338, + "blocks": [ + 0, + 357350, + 20670, + 8123, + 5472, + 4169, + 3766, + 3209, + 2569, + 2045, + 1725, + 1485, + 978, + 855, + 542, + 473, + 220, + 180, + 21, + 48, + 0, + 23, + 0, + 0 + ], + "crt_disagreements": 0, + "crt_matrices": 5513, + "distinct_matrices": 38452, + "field_prime": 2305843009213693951, + "frames": 59803, + "h": 23, + "loss": 506, + "rank_sum": 629280, + "v": 1771 + }, + "replay": { + "elementary_xors": 161763, + "full_basis_vectors": 30880, + "h": 23, + "histogram": { + "0": 173939, + "1": 58279, + "2": 80746, + "3": 9986, + "4": 14480, + "5": 6448, + "6": 1969, + "7": 717, + "8": 1214, + "9": 521, + "10": 528, + "11": 102, + "12": 663, + "13": 198, + "14": 1900, + "15": 305, + "16": 438, + "17": 538, + "18": 3409, + "19": 6478, + "21": 426, + "22": 23 + }, + "output_roles": 5336, + "rank_mass": 629280, + "roles": 27338, + "status": "independent serialized word, exact frames, full input and dirty basis both orientations PASS", + "word_length": 671846 + }, + "source": { + "after": " def coarse_sum(i, j):\n columns = [self.total([e(a,b) for a in groups[i]]) for b in groups[j]]\n return self.total(columns)\n coarse = {(i,j):coarse_sum(i,j) for i,j in combinations(range(ng),2)}", + "attribution": "PR69/eumemic column reassociation on PR71/Chafik Boukhalfa split+anchor+cost/live; predecessor notices retained", + "before": " coarse = {(i, j): self.total([e(a, b) for a in groups[i] for b in groups[j]])\n for i, j in combinations(range(ng), 2)}", + "pr71_head": "1bef94fd40a746452548c84a4a8f8834670a3113", + "producer_sha256": "3d47e89d2649c90800a276bdd0480131def50e0bdf92c122a19494b55bf17420", + "replacement_sha256": "3c37968a0019e0c39bbe72ab3c829f51c17479d40adb52e26f949cdc8ed31feb" + }, + "transitions": { + "R": 27338, + "copied_centers": 23, + "distinct_transitions": 152097, + "frames": 59803, + "h": 23, + "rank_histogram_with_side_growth_split_into_singletons": { + "1": 68905, + "2": 75433, + "3": 9986, + "4": 14480, + "5": 6448, + "6": 1969, + "7": 717, + "8": 1214, + "9": 521, + "10": 528, + "11": 102, + "12": 663, + "13": 198, + "14": 1900, + "15": 305, + "16": 438, + "17": 538, + "18": 3409, + 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"PR69/eumemic column reassociation generalized to deterministic depth row/column choices on PR71/Chafik Boukhalfa split+anchor+cost/live; predecessor notices retained", + "before": " coarse = {(i, j): self.total([e(a, b) for a in groups[i] for b in groups[j]])\n for i, j in combinations(range(ng), 2)}", + "choices": "rrr", + "pr71_head": "1bef94fd40a746452548c84a4a8f8834670a3113", + "producer_sha256": "3d47e89d2649c90800a276bdd0480131def50e0bdf92c122a19494b55bf17420", + "replacement_sha256": "0a8e61c8a06aecba2fdd706db4e31616c7cdf0852bed136b1e96b5d499016d9c" + }, + "transitions": { + "R": 35798, + "copied_centers": 25, + "distinct_transitions": 212455, + "frames": 84845, + "h": 25, + "rank_histogram_with_side_growth_split_into_singletons": { + "1": 90859, + "2": 110686, + "3": 13449, + "4": 18691, + "5": 8490, + "6": 3343, + "7": 1046, + "8": 1304, + "9": 749, + "10": 844, + "11": 27, + "12": 760, + "13": 73, + "14": 683, + "15": 199, + "16": 2178, + "17": 642, + "18": 621, + "19": 933, + "20": 4465, + "21": 8339, + "23": 442, + "24": 25 + }, + "rank_mass": 895550, + "singles": 20700, + "transition_events_equal_independent_xor_word_reconstruction": true, + "v": 2300, + "word_sha256": "ab46b13e45d076c2104d0bf64a1db79886b643add11685edfde719650fb316f1" + }, + "word_sha256": "ab46b13e45d076c2104d0bf64a1db79886b643add11685edfde719650fb316f1" +} diff --git a/research/depth-coarse/mutation-controls.json b/research/depth-coarse/mutation-controls.json new file mode 100644 index 0000000000..599ac770cb --- /dev/null +++ b/research/depth-coarse/mutation-controls.json @@ -0,0 +1,14 @@ +{ + "omitted_xor": { + "rejected": true, + "exception": "AssertionError" + }, + "understated_roles": { + "rejected": true, + "exception": "IndexError" + }, + "omitted_transition": { + "rejected": true, + "exception": "AssertionError" + } +} diff --git a/research/depth-coarse/selection.json b/research/depth-coarse/selection.json new file mode 100644 index 0000000000..e0e361b6df --- /dev/null +++ b/research/depth-coarse/selection.json @@ -0,0 +1,4 @@ +{ + "23": "rcr", + "25": "rrr" +} diff --git a/research/depth-coarse/vendor/LICENSE b/research/depth-coarse/vendor/LICENSE new file mode 100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/research/depth-coarse/vendor/LICENSE @@ -0,0 +1,201 @@ + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION + + 1. 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Its Apache-2.0 +license is retained at upstream/LICENSE. The exact source URLs and hashes +are recorded in upstream/manifest.json. Proposed modifications are supplied +as separate files under patches/; upstream source files remain unchanged. + +The original local research note, scripts, certificates, patches, and +documentation were prepared by Douglas Colkitt with assistance from OpenAI +Codex. The community release incorporates work by the contributors identified +in the notices below; it is not solely Douglas Colkitt's work. +This project is not an official OpenAI release or an OpenAI endorsement. + +Related contributions (not imported in this checkpoint): +Zhihao Chen (jacklightChen), PR #7, supplied an earlier ternary five-subset +motif, finite-alphabet transfer and a different compressed producer: +https://github.com/CrocSwap/integer-mult-bounds/pull/7 +The present checkpoint claims no priority for that motif. Related compressed +complex-network work was submitted by eumemic in PR #3: +https://github.com/CrocSwap/integer-mult-bounds/pull/3 +The pending contributions and their stronger bounds require their own review; +this notice does not represent adoption or verification of their claims. + +Additional community work, including parallel and superseded submissions, is +acknowledged in CONTRIBUTORS.md, with pinned submission metadata in +docs/research/contribution-snapshot.json. These acknowledgements do not imply +joint authorship of the checkpoint, incorporation of pending code, or verification +of submitted mathematical claims. Original source-specific notices remain in force. + +Community release (accepted by conditional maintainer audit): +The following original contributor notices apply to the imported PR #39 chain. +The preceding non-import statements describe the preserved 2^-30 checkpoint. + +Ternary five-subset construction and common-four-point resynthesis +Copyright 2026 Zhihao Chen (jacklightChen) + +This is Zhihao Chen's first submission of this specific construction to this +repository. Research, proof development, code and verification were prepared +with substantial assistance from GPT-6 Astra (OpenAI Codex), as identified by +the contributor. This is not independent review or an OpenAI endorsement. +Future research building on this contribution should explicitly acknowledge +Zhihao Chen (jacklightChen), cite the accompanying note and pull request, and +retain the preceding contributors' attribution. This notice records research +provenance; the repository's Apache-2.0 license remains unchanged. + +Dependencies retained from eumemic's Claude-assisted PRs #3 and #5: +https://github.com/CrocSwap/integer-mult-bounds/pull/3 +https://github.com/CrocSwap/integer-mult-bounds/pull/5 +PR #5 commit: d3d370c34937503bd3fa63c83d505a05e8e50893 +These include complex_circuit.py, complex_network.py, fast_gaussian.py, +their generators, construction notes and certificates. The Gaussian input +scaling proof is corrected in this derivative; see the modification notice below. +Aligned pairing also appears in Bortlesboat's PR #2. Retained totals and bank +sharing appear in dleen's PR #4 and cheaper retained centers in eumemic's PR #6. +Their results and ideas are credited separately from this new construction. + +Bulk recursion and controlled tensor basis, 8 October 2026 +Copyright 2026 icekylinx + +The new projector batching, controlled simultaneous basis, mixed-width tape +recursions, whole-residual complex recursion, and dependency-path precision +guard in the batched-23 proof package are contributed by icekylinx, developed +with substantial OpenAI GPT-6 Astra assistance. Review corrections and +repository integration were prepared with OpenAI Codex assistance. They build on the retained +PR #7 finite producers and the preceding contributions credited above. +The new package retains the repository's Apache-2.0 license and the original +authors' attribution. It is not an official OpenAI release or endorsement. + +Modification notice, 8 October 2026 (icekylinx): the retained fast Gaussian +proof now bounds shifted approximation error by F=2^ceil(1.14 alpha^2). +The P=34p precision budget and asymptotic exponent are unchanged. New batching +checks are integrated into make verify. Existing attribution and licenses +are retained. + +Partial-swap extension, 8 October 2026 +Copyright 2026 icekylinx + +The partial-swap framing, binary retained-total triple construction, +dependency-preserving positive labels and carrier reuse, unequal (25,23,57) +common basis, improved complex batching, and exact assembly are contributed +by icekylinx with substantial OpenAI GPT-6 Astra and Codex assistance. +This extension directly inherits PR #10, commit +62691e395a0458ce089a1c7b5d89e74291e95e29. The portable producer adapters +modify the retained paired-exclusion and shared-point implementations credited +above. The original licenses, attribution, and Gaussian correction are retained. + +Endpoint-gauge extension, 8 October 2026 +Copyright 2026 icekylinx + +The complementary auxiliary endpoint gauges, (32,30,40) controlled basis, +general nondegenerate binary phase residuals, retained-center complex producer, +updated path guard and exact assembly are contributed by icekylinx with +substantial OpenAI GPT-6 Astra and Codex assistance. This extension inherits +f2ab41aebad47861caf6316282c1793e5513845e and its PR #10 ancestry. New portable +adapters retain the paired-exclusion and shared-point contributions credited +above. Original licenses, notices and the Gaussian correction are retained. + +Structured-basis and semantic-bulk extension, 8 October 2026 +Copyright 2026 icekylinx + +The selected (32,30,36) bit construction, A1/A5 block refinements, fixed +middle-axis I+J profiles with bounded-minor CRT certificates, mixed dyadic +complex centers, complete data-front batching and circuit-specific assembly +are contributed by icekylinx with substantial OpenAI GPT-6 Astra and Codex +assistance. The immediate parent is ed90fd940279c336ebc45968631bdebfb087b505. + +The semantic/bulk compatibility argument, literal scalar charge, product row +stock and parameterization adapt Zhihao Chen (jacklightChen)'s PR #23, +commit 661ebabc1076c9f525d7ce4967c876b203fa9827. Translated complex endpoints +are adopted from the same contributor's PR #21, +commit 5ba6cf0bfb68f2be8d15610e7972207c50254d6a, following eumemic's source-frame +work and the earlier nested-basis contributions. + +Completed-child semantic precision, arbitrary-coordinate routing, phase-cell +Gaussian inversion and bulk tape transfer are credited to the RaD project +(hipotures), commit 45d9b60355872041f9275f77c057514def0d45bc, exposed through +PR #20 at 4f8d6c8272b5ff307a0da51df545ec3cd96a8b6e. Their selected proof +sources retain their separate CC0 license and original NOTICE under +references/semantic-bulk/rad20. The PR #23 source retains its recorded OpenAI +Codex assistance; RaD retains its recorded Codex and GPT-6.1-Sol Ultra +assistance. These are source attributions, not claims about this session's +runtime model. Related contributions by Rohan Arun and Aurel Prosz remain +acknowledged in the imported notices. No exclusive priority or additional +license condition is asserted. + +Copied retained-center extension, 8 October 2026 +Copyright 2026 icekylinx + +The copied retained-center schedule in both orientations, its complex-phase +transfer, the Wm-N+L rank budget, and the selected (25,23)/(28,28) composition +are contributed by icekylinx with substantial OpenAI GPT-6 Astra and Codex +assistance. This extension inherits PR #32 at +0ef3aeb61f55cc0b321ce6a0ef00acee25cefe52 and the preceding PR #10/#18/#24 work. + +The two-stage topology and paid copied-stream endpoint correction are due +to Aurel Prosz (Paureel), c82d09eb4781b68435e3fa3eb6beea72fa900fab, +through Zhihao Chen (jacklightChen)'s PR #29 unequal-axis composition, +9d963275075fa98f1da821e27757b238dafd6b3c. That source also credits Swapnil +Jain's two-stage development at ae405eb474d1486b2d8aef90139869f927f4836a. + +The contiguous corner method, incidence factorization and exact partition +certificates are due to Rohan Arun (PR #31), method commit +02f68f95369c39955c5ffcfddbd75cd83e26b305. The selected (25,23) certificate +specializes Dominik Scholz's parameterization (PR #33), +a499a345c040aa15b68e984a0904eadc485c7a7e. Their source notices and proof +snapshots are preserved in references/copied-centers. Historical OpenAI +Codex, GPT-6 Astra and Anthropic Claude Opus 5.5 assistance is credited to +the respective imported sources. Existing PR #21/#23 and RaD attribution, +licenses and the Gaussian correction remain in force. + +Copied centers with reversed (23,25) data corners, 2026-10-08 +Rohan Arun with substantial OpenAI Codex assistance supplies the composition, +exact dimension23 controls and cost/assembly integration. James Chang's PR34 +supplies the reversed boundary family; icekylinx's PR36 supplies copied retained +centers and the selected complex graph. The balanced assembly remains attributed +to RaD/hipotures and its PR34 specialization. Retain Dominik Scholz PR33, Rohan +Arun PR31, Zhihao Chen PR29/21/23, Paureel/Aurel Prosz, Swapnil Jain, icekylinx, +eumemic, Douglas Colkitt, OpenAI and all earlier notices and hypotheses. +This is not a claim of formal verification, new foundational rank identities, +global optimality or measured runtime speedup. + +Fixed middle basis with copied reversed corners (2026-10-08): +Rohan Arun, with substantial OpenAI Codex assistance. Composition and +simultaneous-basis proof retain icekylinx PR32/36, James Chang PR34, +Dominik Scholz PR35/38, Zhihao Chen, Paureel, Swapnil Jain, RaD/hipotures, +eumemic and all preceding attribution and licenses. See research/copied-fixed-reversed. + +Changed-graph composition with copied centers and fixed bases, 8 October 2026 +Prepared with OpenAI Codex assistance. +The new composition uses icekylinx PR36 copied centers and PR32 fixed-I+J +projectors/profiler, Dominik Scholz PR35 two fixed factors and CRT argument, +Zhihao Chen (jacklightChen) PR29/23 interfaces, Aurel Prosz (Paureel) and +Swapnil Jain's two-stage development, Rohan Arun PR25/31 corner methods, +Dominik Scholz PR33/38 dimension/composition work; James Chang (jamesyc) +PR34 reversed geometry and balanced transfer; Rohan Arun PR37/39/40 +reversed integration, modular data tests and both-fixed baseline; +RaD (hipotures) PR41 changed scalar DAGs, alternating point order and +independent role compiler; RaD balanced routing/bulk interfaces, and all +retained predecessors. +Complete attribution and the conditional proof boundary are recorded in +research/copied-fixed/PROOF.md; imported originals and source pins are retained. +Original Apache-2.0 and CC0 notices remain applicable. + +Community follow-up integration (PRs #49, #45 and #26), 8 October 2026: +Rohan Arun contributes weighted carrier matching and climbed summand/leave-one-out +orders (PRs #44/#47/#49), with Anthropic Claude assistance. The final construction +composes Chafik Boukhalfa's changed-graph checks, exact rational data recovery and +reordered exclusion sums (PRs #43/#46/#48, OpenAI Codex assistance) with RaD / +hipotures's alternating pair order and independent physical role compiler (#41). +All predecessor attribution and conditional proof interfaces remain in force. + +Alejandro Zarzuelo Urdiales contributes Gaussian parity and canonical arithmetic +proofs, finite tensor execution, profile precision accounting and mixed-center +reference checks (#45), with substantial OpenAI Codex assistance. See +research/gaussian-parity-synthesis/PROVENANCE.md for his full attribution. +Ryan S / princezuda contributes historical Lean certificate arithmetic, algebraic +frame/movement/guard lemmas and independent paired-circuit checks (#26). Original +source notices and historical snapshots are preserved. Neither formal package +claims a full formal proof of the multiplication algorithm or a new kappa. + +Joint frame compilation of skip-prefix strips + +The local compiler and exact finite witnesses were prepared by eumemic with +substantial OpenAI Codex assistance. Avi Eisenberg / ikeboy with Anthropic +Claude assistance supplied the unmodified PR #53 skip-prefix producer. +The pinned PR #48 pipeline is Chafik Boukhalfa's contribution, incorporating +Rohan Arun, RaD / hipotures, icekylinx, Dominik Scholz, James Chang, +Zhihao Chen, Aurel Prosz / Paureel, Swapnil Jain, eumemic, Douglas Colkitt, +OpenAI, David Harvey, Joris van der Hoeven and the earlier contributors +credited in the retained sources. See references/frame-compiler/pr48/NOTICE +and references/frame-compiler/pr53/NOTICE for their original attribution. +No authorship or review by those predecessors is claimed for this compiler. + +Joint dual-skip/frame-compiler composition (2026-10-08) +--------------------------------------------------- +Rohan Gupta / gupt1156 with Anthropic Claude assistance: PR55 dual-skip +scalar graph; original LICENSE and NOTICE are retained under +references/frame-compiler/pr55. eumemic with substantial OpenAI Codex +assistance: PR57 joint reversible frame compiler, serialized physical-word +replay and profile reconstruction. Chafik Boukhalfa with OpenAI Codex +assistance: this composition, independent integration and exact certificate. +Avi Eisenberg / ikeboy, Rohan Arun, RaD / hipotures, icekylinx, and all +predecessor authors retain the notices above and in pinned source files. +No original copyright or Apache-2.0 notice is removed. + +Ranked reclamation after the PR58 joint-dual composition (2026-10-08) +---------------------------------------------------------------- +Chafik Boukhalfa with OpenAI Codex assistance: prioritize retired physical +slots by descending current frame rank, retaining slot ID as the tie-breaker; +complete replay, exact profiles, comparison and adversarial controls. +The dedicated joint_dual_reclaim_compiler.py is derived from eumemic's PR57 +compiler. Its original shared compiler remains byte-identical. The PR55 +producer and all preceding attribution remain unchanged. The complete PR58 +comparison certificate and its original source/proof provenance are retained +under references/frame-compiler/pr58. + +Skip-prefix strip producer, 8 October 2026 +By Avi Eisenberg (ikeboy), with Anthropic Claude (Claude Opus 5.5) +assistance. The skip-prefix leave-one-out strip layout in +research/skip-strips/skip_graph.py is new. Everything else reuses Chafik +Boukhalfa's PR #43/#46/#48 research/copied-fixed pipeline, its verification +code, exact data recovery and support-order sorting, together with: +- Rohan Arun's PR #44 weighted carrier matching optimizer; +- RaD (hipotures) PR #41 alternating point order; +- every predecessor credited above. +Complete attribution and the conditional proof boundary are recorded in +research/skip-strips/PROOF.md. Original Apache-2.0 and CC0 notices remain +applicable. + +Local split-pair skip-prefix research continuation (2026-10-08) +Prepared with substantial OpenAI Codex assistance at the user's request. +New contribution: singleton/pair recursive partition refinement, finite summand +order and moment search, and verified composition with inherited paid clones. +Avi Eisenberg/ikeboy with Anthropic Claude assistance: PR53 skip-prefix strips. +Chafik Boukhalfa with OpenAI Codex assistance: PR54 original-envelope clone +specialization and PR43/46/48 checking interfaces. RaD/hipotures: PR51 +whole-chain/source-partition cloning and earlier producer/interfaces. +Rohan Arun: PR44 weighted matching and earlier fixed/reversed work, with all +stated historical AI assistance. All predecessor notices remain applicable. + +Original-envelope whole-chain clones on skip-prefix strips (research/skip-clones): +Chafik Boukhalfa, prepared with OpenAI Codex assistance. The complete-chain +source-partition clone operation is adapted from RaD / hipotures, PR #51, +with original envelopes retained here. The scalar base is Avi Eisenberg's +PR #53 skip-prefix layout, prepared with Anthropic Claude assistance. +All credited PR #43/#46/#48, PR #44 and earlier code/proof notices remain +in force. This extension is provided under the repository's Apache-2.0 terms. + +Community review checkpoint #50–#61, 8 October 2026 +Maintainer integration and independent arithmetic: Douglas Colkitt, with OpenAI Codex. +Avi Eisenberg / ikeboy: skip-prefix strip framework (#53), with Anthropic Claude. +Rohan Gupta / gupt1156: parallel order search (#50, stated Antigravity assistance) +and dual-suffix strips (#55, Anthropic Claude assistance). +Eumemic: equal-frame joint compilation and paid signal reclamation (#57), with Codex. +Chafik Boukhalfa: original-envelope paid clones (#54), composition (#58) and ranked +reclamation (#60), with Codex. Rohan Arun: order search (#52) and positive-frame +composition (#56), with Anthropic Claude and stated Codex validation assistance. +RaD / hipotures: enlarged frames, source partitions and paid whole-chain clones +(#51), with Codex. Rohan Garg / rohangar1: singleton/pair recursion and paid-clone +composition (#59), with Codex. Alejandro Zarzuelo Urdiales: exact parameter +refinement, scoped Lean arithmetic, matrix/parity and search tools (#61), with +his disclosed multi-tool and Codex assistance. +Parallel #50/#52 records are reviewed and credited without replacing the earlier +climbed-48 implementation; their exact commit history is retained. The separate +#51 witness is retained as research; its source-graph/negative-basis data proof +has not received the same full replay as #56's consumed compiler machinery. +See docs/research/community-round2-review.md for precise validation boundaries. +All earlier licenses, contributions and notices remain applicable. + +Interval strips and core-aware pair assembly + +The interval leave-one-out strips and the core-aware group-pair assembly in +research/pair-assembly were prepared by Avi Eisenberg / ikeboy with Anthropic +Claude assistance. They build on PR #53's skip-prefix pipeline and its +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. + +Aligned split-pair composition (2026-10-08) +------------------------------------------ +Avi Eisenberg: PR62 interval strips and core-aware pair assembly. Dominik +Scholz with OpenAI assistance: PR63 ranked-frame composition and PR68 pending +live-carrier controls. Rohan Arun with OpenAI assistance: PR65 region schedules +and refined exact arithmetic, and PR67 all-rank profile-cost selection and +its profile oracle. Rohan Garg / rohangar1 +with substantial OpenAI Codex assistance: PR59 split-pair operation. Eumemic +with substantial OpenAI Codex assistance: PR57 joint reversible compiler and +independent physical-word/profile checks. Chafik Boukhalfa with OpenAI Codex +assistance: PR60 ranked reclamation and this selected [1,1,2] split vector, +aligned common-point permutation, next-use profile score, composition and +certification package. +The complete PR65 baseline words, profiles and arithmetic, plus 43 original +source/provenance files, are preserved under references/frame-compiler/pr65. +The original PR59 split operation and notices are separately preserved. +PR67's compiler/oracle and baseline profile, and PR68's compiler/driver/proof, +retain their original bytes, licenses and notices in their own archives. +All previous notices and mathematical dependencies remain applicable. diff --git a/research/depth-coarse/vendor/SOURCE.json b/research/depth-coarse/vendor/SOURCE.json new file mode 100644 index 0000000000..538ea00753 --- /dev/null +++ b/research/depth-coarse/vendor/SOURCE.json @@ -0,0 +1,56 @@ +{ + "pr71-engine.py": { + "pr": 71, + "commit": "1bef94fd40a746452548c84a4a8f8834670a3113", + "path": "scripts/experiments/split_pair_engine.py", + "sha256": "58f13f82ce1bb7f2b5549e17628bc6034e5e05cb24db2acb9a91c24820872f70" + }, + "pr71-split-graph.py": { + "pr": 71, + "commit": "1bef94fd40a746452548c84a4a8f8834670a3113", + "path": "scripts/experiments/split_pair_graph.py", + "sha256": "9d4ee7179f880f9576e81c7ad3a5290fe61380a7531d559ef3cf0939bb30089c" + }, + "pr65-schedule.py": { + "pr": 71, + "commit": "1bef94fd40a746452548c84a4a8f8834670a3113", + "path": "references/frame-compiler/pr65/research/reordered-rank-pair/verify.py", + "sha256": "e84ed21dad24f9b8c429441caae49c13ccae883be2f04e696993cfe665b57352" + }, + "pr65-refine.py": { + "pr": 71, + "commit": "1bef94fd40a746452548c84a4a8f8834670a3113", + "path": "references/frame-compiler/pr65/research/reordered-rank-pair/arithmetic/refine.py", + "sha256": "e0488c919e76850313ff93d7da704a7fcc14a316eee2cac81e2b8dff9c145b5d" + }, + "pr65-audit.py": { + "pr": 71, + "commit": "1bef94fd40a746452548c84a4a8f8834670a3113", + "path": "references/frame-compiler/pr65/research/reordered-rank-pair/arithmetic/audit.py", + "sha256": "aa297fffcdaa133f5dee17d97fac72aa5ba2cf943da5a8a5e3f4d62f6f0a7f79" + }, + "pr67-profile-oracle.cpp": { + "pr": 71, + "commit": "1bef94fd40a746452548c84a4a8f8834670a3113", + "path": "references/frame-compiler/pr67/research/slot-cost-rank-pair/profile_oracle.cpp", + "sha256": "d1f6b650de9fb5842b412595369271d9eeb6f54045c76c0fb5cad29854955c35" + }, + "pr69-balanced-coarse.py": { + "pr": 69, + "commit": "91aa1f17e6e3fc063241686a41a34ddd0dc24c50", + "path": "scripts/experiments/balanced_coarse_compiler.py", + "sha256": "bd8169bf9f5df185a8aa4aec22234b4fd483000a1cecc78b71bf32e479af1499" + }, + "PR71-NOTICE": { + "pr": 71, + "commit": "1bef94fd40a746452548c84a4a8f8834670a3113", + "path": "NOTICE", + "sha256": "1e0702aa665673508fa91169163c5785d680637fff636fda01f36e3b127c3ee0" + }, + "LICENSE": { + "pr": 71, + "commit": "1bef94fd40a746452548c84a4a8f8834670a3113", + "path": "LICENSE", + "sha256": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4" + } +} diff --git a/research/depth-coarse/vendor/pr65-audit.py b/research/depth-coarse/vendor/pr65-audit.py new file mode 100644 index 0000000000..7d9949e676 --- /dev/null +++ b/research/depth-coarse/vendor/pr65-audit.py @@ -0,0 +1,120 @@ +#!/usr/bin/env python3 +"""Independent exact enclosure, assembly and negative-control verification.""" +import sys +sys.dont_write_bytecode = True +if sys.flags.optimize: + raise ValueError('Assertions must remain enabled') +import argparse +from fractions import Fraction as Q +from hashlib import sha256 +import json +from pathlib import Path +import refine + +ROOT = refine.ROOT +HERE = Path(__file__).resolve().parent + + +def log_interval(x): + """Atanh expansion with independent 3/2 reduction and 60 exact terms.""" + assert x >= 1 + k = 0 + while x > Q(3, 2): + x /= Q(3, 2) + k += 1 + def small(y): + z = (y-1)/(y+1) + power, total = z, Q() + for j in range(60): + total += power/Q(2*j+1) + power *= z*z + return 2*total, 2*total+2*power/(121*(1-z*z)) + lo, hi = small(x) + blo, bhi = small(Q(3, 2)) + return lo+k*blo, hi+k*bhi + + +def independent_moment(profile, saving, recorded_terms): + low, high = Q(), Q() + rows = {int(t): n for t, n in profile['child_multiplicities'].items()} + for t, n in sorted(rows.items()): + lo, hi = log_interval(Q(profile['m'], t)) + recorded = recorded_terms[str(t)] + assert Q(recorded['log_lower']) <= lo <= hi <= Q(recorded['log_upper']) + u, v = lo*saving, hi*saving + assert 0 < u <= v < Q(1, 1000) + # Directed rounding of input logs bounds rational denominator sizes. + u = Q(refine.floor_scaled(u, 10**40), 10**40) + v = Q(refine.ceiling_scaled(v, 10**40), 10**40) + tlo, thi = Q(1), Q(1) + elo, ehi = Q(1), Q(1) + for j in range(1, 13): + tlo, thi = tlo*u/j, thi*v/j + elo, ehi = elo+tlo, ehi+thi + # First omitted term is degree13; subsequent ratios <1/2. + ehi += 2*thi*v/13 + weight = Q(t*n, profile['m']*profile['W']) + low += weight*Q(refine.floor_scaled(elo, 10**40), 10**40) + high += weight*Q(refine.ceiling_scaled(ehi, 10**40), 10**40) + return low, high + + +def audit(certificate): + profile_path = ROOT/certificate['profile_path'] + assert sha256(profile_path.read_bytes()).hexdigest() == certificate['profile_sha256'] + for name, digest in certificate['source_sha256'].items(): + assert sha256((ROOT/name).read_bytes()).hexdigest() == digest, name + source = json.loads(profile_path.read_text()) + p = source['bit'] + assert sum(int(t)*n for t, n in p['child_multiplicities'].items()) == p['total_rank'] + accepted = independent_moment(p, Q(certificate['bit_saving']), certificate['accepted_moment']['terms']) + rejected = independent_moment(p, Q(certificate['next_bit_saving']), certificate['accepted_moment']['terms']) + assert accepted[1] < 1 < rejected[0] + controls = {} + for name, variant in [('preferred', certificate['preferred']), ('coarse_grid_control', certificate['coarse_grid_control'])]: + params = variant['assembly']['parameters'] + result = refine.balanced.assembly(source['finite_bridge'], Q(params['a_bit']), Q(params['kappa']), h=Q(params['h'])) + assert refine.arithmetic.js(result) == variant['assembly'] + assert len(result['constraints']) == 47 and len(result['margins']) == 7 + assert all(v > 0 for v in result['constraints'].values()) + for label, kwargs in [('next_grid', dict(kappa=Q(variant['next_kappa']))), + ('zero_backoff', dict(h=Q())), + ('original_prefix', dict(original_prefix=True)), + ('old_guard', dict(old_guard=True)), + ('old_exposures', dict(old_exposures=True))]: + call = dict(a_bit=Q(params['a_bit']), kappa=Q(params['kappa']), h=Q(params['h'])) + call.update(kwargs) + try: + refine.balanced.assembly(source['finite_bridge'], **call) + except refine.balanced.InvalidAssembly as error: + controls[name+'/'+label] = str(error) + else: + raise AssertionError('Negative control accepted: '+name+'/'+label) + next_a = Q(certificate['next_bit_saving']) + best = Q(certificate['preferred']['kappa']) + cap = next_a/(1+next_a) + assert cap > best + return dict(status='PASS', independent_log_base='3/2', independent_log_terms=60, + independent_exp_degree=12, independent_tail='twice first omitted term', + independent_accepted_gap=1-accepted[1], independent_rejected_gap=rejected[0]-1, + variants_reassembled=2, constraints_each=47, margins_each=7, controls=controls, + fixed_profile_balanced_family_kappa_strict_upper=cap, + remaining_possible_parameter_gain_upper=cap-best) + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument('--certificate', type=Path, default=HERE/'certificate.json') + parser.add_argument('--receipt', type=Path, default=HERE/'audit-receipt.json') + parser.add_argument('--record', action='store_true') + args = parser.parse_args() + result = refine.arithmetic.js(audit(json.loads(args.certificate.read_text()))) + if args.record: + args.receipt.write_text(json.dumps(result, indent=2, sort_keys=True)+'\n') + else: + assert result == json.loads(args.receipt.read_text()), 'Independent receipt changed' + print('PASS independent logarithm/exponential enclosures; 47 strict constraints; seven margins; ten assembly negative controls') + + +if __name__ == '__main__': + main() diff --git a/research/depth-coarse/vendor/pr65-refine.py b/research/depth-coarse/vendor/pr65-refine.py new file mode 100644 index 0000000000..399299089e --- /dev/null +++ b/research/depth-coarse/vendor/pr65-refine.py @@ -0,0 +1,162 @@ +#!/usr/bin/env python3 +"""Exact arithmetic screen of the reordered rank-pair complete physical profile. + +Uses PR63's paid profile, inherited PR48 logarithm enclosures and balanced +assembly (PR34 and successors). New directed Taylor bounds are documented in +this file. Prepared with OpenAI assistance. Inherited licenses apply. +Physical linkage is checked by the parent verifier; no full theorem or practical speedup claim is implied. +""" +import sys +sys.dont_write_bytecode = True +if sys.flags.optimize: + raise ValueError('Assertions must remain enabled') +import argparse +from fractions import Fraction as Q +from hashlib import sha256 +import importlib.util +import json +from math import factorial +from pathlib import Path + +ROOT = Path(__file__).resolve().parents[3] +sys.path.insert(0, str(ROOT/'scripts/experiments')) +import binary_frame_math as arithmetic +spec = importlib.util.spec_from_file_location('inherited_assembly', ROOT/'references/frame-compiler/pr48/research/copied-fixed/balanced_assembly.py') +balanced = importlib.util.module_from_spec(spec) +spec.loader.exec_module(balanced) + + +def floor_scaled(x, denominator): + return (x * denominator).numerator // (x * denominator).denominator + + +def ceiling_scaled(x, denominator): + return -floor_scaled(-x, denominator) + + +def exact_moment(m, width, rows, saving, degree=8, rounding=10**40): + """Bound sum n*t/(mW)*exp(saving*log(m/t)) entirely in Q. + + At 0 <= u <= v < 1, S_d(u) is a lower bound for exp(u). + The tail at v has first term v^(d+1)/(d+1)!; successive ratios + are at most v/(d+2). Thus S_d(v)+first/(1-v/(d+2)) is upper. + Directed rounding per exp bound preserves both inequalities. + The inherited logarithm helper encloses log(m/t) rationally. + """ + assert type(saving) is Q and 0 < saving < 1 and degree >= 1 + lo, hi = Q(), Q() + terms = {} + for t, count in sorted(rows.items()): + assert type(t) is int and type(count) is int and 0 < t < m and count > 0 + loglo, loghi = arithmetic.logs(Q(m, t)) + u, v = saving*loglo, saving*loghi + assert 0 <= u <= v < 1 + lower = sum((u**j / factorial(j) for j in range(degree+1)), Q()) + upper = sum((v**j / factorial(j) for j in range(degree+1)), Q()) + upper += v**(degree+1)/factorial(degree+1)/(1-v/Q(degree+2)) + lower = Q(floor_scaled(lower, rounding), rounding) + upper = Q(ceiling_scaled(upper, rounding), rounding) + weight = Q(t*count, m*width) + lo += weight*lower + hi += weight*upper + terms[t] = dict(weight=weight, log_lower=loglo, log_upper=loghi, + exp_lower=lower, exp_upper=upper) + return dict(saving=saving, lower=lo, upper=hi, strict_gap=1-hi, + degree=degree, rounding_denominator=rounding, terms=terms) + + +def assemble(bridge, saving, h, denominator): + preliminary = balanced.assembly(bridge, saving, Q(1, denominator), h=h) + kappa = Q(ceiling_scaled(preliminary['minimum_margin'], denominator)-1, denominator) + accepted = balanced.assembly(bridge, saving, kappa, h=h) + assert len(accepted['constraints']) == 47 and len(accepted['margins']) == 7 + assert all(v > 0 for v in accepted['constraints'].values()) + assert all(v > kappa for v in accepted['margins'].values()) + try: + balanced.assembly(bridge, saving, kappa+Q(1, denominator), h=h) + except balanced.InvalidAssembly as error: + rejected = str(error) + else: + raise AssertionError('Next kappa grid unexpectedly passes') + return dict(kappa=kappa, assembly=accepted, + next_kappa=kappa+Q(1, denominator), next_kappa_rejection=rejected, + eventual_bounds=balanced.cutoffs(bridge, accepted)) + + +def build_certificate(profile_path, denominator=10**18, h=Q(1, 10**12)): + profile_path = profile_path.resolve() + source = json.loads(profile_path.read_text()) + profile = source['bit'] + bridge = source['finite_bridge'] + m, width = profile['m'], profile['W'] + rows = {int(t): n for t, n in profile['child_multiplicities'].items()} + assert sum(t*n for t, n in rows.items()) == profile['total_rank'] + assert bridge['bit']['W'] == width + low, high = 1, floor_scaled(Q(717, 10**7), denominator) + assert exact_moment(m, width, rows, Q(low, denominator))['upper'] < 1 + assert exact_moment(m, width, rows, Q(high, denominator))['lower'] > 1 + steps = 0 + while low+1 < high: + mid = (low+high)//2 + test = exact_moment(m, width, rows, Q(mid, denominator)) + if test['upper'] < 1: + low = mid + elif test['lower'] > 1: + high = mid + else: + raise ArithmeticError('Rational bounds inconclusive: increase enclosure precision') + steps += 1 + saving = Q(low, denominator) + accepted = exact_moment(m, width, rows, saving) + rejected = exact_moment(m, width, rows, Q(high, denominator)) + assert accepted['upper'] < 1 < rejected['lower'] + preferred = assemble(bridge, saving, h, denominator) + coarse_denom = 10**11 + coarse_bit = Q(floor_scaled(saving, coarse_denom), coarse_denom) + assert exact_moment(m, width, rows, coarse_bit)['upper'] < 1 + coarse = assemble(bridge, coarse_bit, h, coarse_denom) + inherited_coarse = arithmetic.moment(m, width, rows, coarse_bit) + inherited_next = arithmetic.moment(m, width, rows, coarse_bit+Q(1, coarse_denom)) + assert inherited_coarse['upper'] < 1 < inherited_next['lower'] + coarse['original_enclosure_control'] = dict(accepted_upper=inherited_coarse['upper'], + next_bit_lower=inherited_next['lower']) + # Same coarse grid/backoff as PR63 separates the structural gain from + # the additional precision refinement suggested by the PR61 precedent. + prior = Q(source['kappa']) + paths = (Path(__file__), Path(__file__).with_name('audit.py'), + ROOT/'scripts/experiments/binary_frame_math.py', Path(balanced.__file__)) + return dict(status='Exact finite conditional screen; physical linkage checked by parent verifier', + profile_path=str(profile_path.relative_to(ROOT)), + profile_sha256=sha256(profile_path.read_bytes()).hexdigest(), + source_sha256={str(path.relative_to(ROOT)):sha256(path.read_bytes()).hexdigest() for path in paths}, + grid_denominator=denominator, binary_search_steps=steps, bit_saving=saving, + next_bit_saving=Q(high, denominator), accepted_moment=accepted, rejected_moment=rejected, + preferred=preferred, coarse_grid_control=dict(bit_saving=coarse_bit, **coarse), + comparison=dict(pr63_kappa=prior, kappa=preferred['kappa'], + difference=preferred['kappa']-prior, + structural_gain_on_original_grid=coarse['kappa']-prior, + additional_precision_gain=preferred['kappa']-coarse['kappa']), + proof_limits=['The complete physical profile is supplied; independent word and CRT replay are parent-verifier responsibilities.', + 'The rational logarithm and exponential enclosure derivations are documented in README.md, not formally mechanized.', + 'All-size compiler, routing, recovery, prime-selection and fixed-tape transfer remain inherited.', + 'Neither global optimality nor measured practical speedup is claimed.']) + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument('--profile', type=Path, default=Path(__file__).resolve().parent.parent/'paired-candidate.json') + parser.add_argument('--certificate', type=Path, default=Path(__file__).with_name('certificate.json')) + parser.add_argument('--record', action='store_true', help='Regenerate certificate instead of comparing with recorded result') + args = parser.parse_args() + result = arithmetic.js(build_certificate(args.profile)) + if args.record: + args.certificate.write_text(json.dumps(result, indent=2, sort_keys=True)+'\n') + else: + assert result == json.loads(args.certificate.read_text()), 'Arithmetic certificate changed' + print(json.dumps(dict(status='PASS exact arithmetic', bit_saving=result['bit_saving'], + kappa=result['preferred']['kappa'], constraints=47, margins=7, + next_grid_controls='PASS', comparison=result['comparison']), indent=2)) + + +if __name__ == '__main__': + main() diff --git a/research/depth-coarse/vendor/pr65-schedule.py b/research/depth-coarse/vendor/pr65-schedule.py new file mode 100644 index 0000000000..5ac300ecd0 --- /dev/null +++ b/research/depth-coarse/vendor/pr65-schedule.py @@ -0,0 +1,102 @@ +#!/usr/bin/env python3 +"""Replay, profile, or deterministically rebuild a reordered PR63 circuit. + +PR62 graph: Avi Eisenberg, assisted by Claude; PR60 compiler: Chafik +Boukhalfa, derived from eumemic PR57, with OpenAI Codex assistance. +Region scheduling experiment: Rohan Arun with OpenAI Codex assistance. +Apache-2.0; inherited notices and mathematical dependencies remain applicable. +""" +import sys +sys.dont_write_bytecode = True +if sys.flags.optimize: + raise ValueError('Assertions must remain enabled') +import argparse, gzip, importlib.util, json, os, shlex, subprocess, tempfile +from hashlib import sha256 +from pathlib import Path + +HERE=Path(__file__).resolve().parent +ROOT=HERE.parents[1] +EXP=ROOT/'scripts/experiments' +sys.path[:0]=[str(EXP),str(ROOT/'scripts')] +from binary_frame_replay import replay +from binary_frame_profile_prepare import prepare +import binary_frame_math as arithmetic + +def load(path,name): + spec=importlib.util.spec_from_file_location(name,path) + module=importlib.util.module_from_spec(spec);spec.loader.exec_module(module) + return module + +def sha(path):return sha256(path.read_bytes()).hexdigest() + +def reordered_build(original,mode): + def build(h): + parts=list(original(h)) + c,blocks,uses,value_uses,owner,signal,order,contains=parts + if mode=='reverse-node': + key=lambda g:(blocks[g]['rank'],-min(blocks[g]['nodes'])) + elif mode=='cover-core': + key=lambda g:(blocks[g]['rank'],blocks[g]['frame'][1],blocks[g]['frame'][0]) + else:raise ValueError(mode) + parts[6]=sorted(range(len(blocks)),key=key) + position={g:i for i,g in enumerate(parts[6])} + for g,b in enumerate(blocks): + for x in b['inputs']: + assert position[owner[x]], the carrier matching is read from a pinned file +// instead of Hopcroft-Karp. Every pinned edge must lie in the same admissible +// adjacency (causal order and frame inclusion); donors and uses are distinct. +// This replay-only adaptation omits the discovery edge dumper. The original +// optimizer and profiler are preserved in references/copied-fixed/pr44. +// Replay-only adaptation prepared with OpenAI Codex assistance. +// Prepared by Rohan Arun with Anthropic Claude assistance. Apache-2.0. +// Adapted at h=23,25; original PR35 by Dominik Scholz, PR32 by icekylinx. +// Dimension adaptation at 45/47; extra primes for all source-growth cases. +// Exact bounded-minor inequalities are checked by verify.py. Original credit below. +// Copyright 2026 icekylinx. Apache-2.0; AI-assisted handoff integration. +// Original round3_rankone_profiles.cpp. Requires GCC/Clang unsigned __int128. + +// Adapted input reader for complete serialized frame-compiler transitions. +// Actual-word fixed-I+J profiling, adapted from PR48 profiles.cpp. +// All projector, pivot and CRT formulas below are unchanged. +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +#include +using U=uint32_t;using V=uint64_t; +#include "binary_io.hpp" +int main(int argc,char**argv){ +assert(argc==2);std::ifstream f(argv[1],std::ios::binary);U hdr[6];read_array(f,hdr); +U h=hdr[0],v=hdr[1],R=hdr[2],nf=hdr[3],nt=hdr[4];int64_t singles=hdr[5];assert(h==23||h==25); +V sum,loss;f.read(reinterpret_cast(&sum),8);f.read(reinterpret_cast(&loss),8); +struct Frame{V core,cover;U rank;};std::vectorframes; +for(U i=0;i(&a.core),8);f.read(reinterpret_cast(&a.cover),8);f.read(reinterpret_cast(&a.rank),4);frames.push_back(a);} +std::map,int64_t>transitions; +for(U i=0;i(&a),4);f.read(reinterpret_cast(&b),4);f.read(reinterpret_cast(&count),8);transitions[{a,b}]=count;} +assert(f);assert(sum==h*V(R)+loss); +V p=2305843009213693951ULL; +auto mul=[&](V a,V b)->V{return (__uint128_t)a*b%p;}; +auto power=[&](V a,V b)->V{V r=1;for(;b;b>>=1,a=mul(a,a))if(b&1)r=mul(r,a);return r;}; +auto sub=[&](V a,V b)->V{return (a+p-b)%p;}; +std::vector>matrix_cache(frames.size()); +auto matrix=[&](U id)->const std::vector&{auto&A=matrix_cache[id];if(!A.empty())return A;A.assign(h*h,0);if(id==0)return A;if(id==1){for(U i=0;i>i)&1);V zj=((f.core>>j)&1)?3*(h+1)-10:p-10;A[i*h+j]=mul(mul(wi,zj),factor);}return A;} + assert(c==1||c==2);V s=3-c,d=s*s+(c-1)*nn,den=3*(h+1)*d,inv=power(den,p-2); + for(U i=0;i>i)&1,oj=(out>>j)&1,wi=3+((f.core>>i)&1),zj=((f.core>>j)&1)?3*(h+1)-10:p-10; + V num=(mul(s*oi,zj)+3*(h+1)*s*wi*oj+mul(nn*wi,zj))%p;num=sub(num,3*(h+1)*(c-1)*oi*oj);A[i*h+j]=(V(i==j&&oi)+mul(num,inv))%p; + }return A;}; + +std::vectorblocks(h+1);blocks[1]=singles;V done=0,matrices=0,crt_matrices=0,crt_disagreements=0;U longest=0;std::mapcorrection_hist; +U aa,bb; +while(std::cin>>aa>>bb){ + assert(aa=frames[aa].rank); + if(rr<=2){blocks[1]=rr; for(U t=0;t<=h;t++)std::cout<1&&bb>1){ + assert(!(frames[bb].core&~frames[aa].core)); + assert(!(frames[aa].cover&~frames[bb].cover)); + U ca=popcount64(frames[aa].core),cb=popcount64(frames[bb].core); + assert(ca==3||frames[aa].core==frames[bb].core||(ca==2&&cb==1)); + } + const auto&A=matrix(aa);const auto&B=matrix(bb);std::vectorM(h*h);for(U x=0;x>pivots; + for(U i=0;i=0&&!M[i*h+j])j--;if(j<0)continue;pivots.push_back({i,U(j)});V inv=power(M[i*h+j],p-2);for(U k=i+1;k core-one use all three primes at these dimensions. +if(aa>1&&bb>1&&(popcount64(frames[aa].core)==3||(popcount64(frames[aa].core)==2&&popcount64(frames[bb].core)==1))){ + assert(h==23||h==25);crt_matrices++;matrix_cache[aa].clear();matrix_cache[bb].clear();std::vector>> all{pivots}; + for(V extra:{2147483647ULL,524287ULL}){p=extra;matrix_cache[aa].clear();matrix_cache[bb].clear();const auto&C=matrix(aa);const auto&D=matrix(bb);std::vectorY(h*h);for(U z=0;z> pp; + for(U i=0;i=0&&!Y[i*h+j])j--;if(j<0)continue;pp.push_back({i,U(j)});V inv=power(Y[i*h+j],p-2);for(U k=i+1;k corner((h+1)*(h+1));for(U i=0;i=j;best=std::max(best,rank);}corner[(i+1)*(h+1)+j]=best;} + pivots.clear();for(U i=0;i1 for b in blocks) + def new(g): + s=len(slots);slots.append(0);frames.append(g);hist[blocks[g]['rank']]+=1;events.append((s,-1,g));return s + def raise_(s,g): + old=frames[s];assert contains(blocks[old]['frame'],blocks[g]['frame']);hist[blocks[g]['rank']-blocks[old]['rank']]+=1;frames[s]=g;events.append((s,old,g)) + def xor(a,b,g): + assert a!=b;raise_(a,g);raise_(b,g);slots[a]^=slots[b];ops.append((a,b,g)) + import subprocess,struct + from binary_frame_math import logs + # Integer midpoint enclosures give a reproducible discovery score. + # Every candidate is independently checked by the complete exact screen. + weights=[0]+[int(t*sum(logs(t))*10**30//2) for t in range(1,h+1)] + oracle_input=Path(ORACLE_INPUT) + with oracle_input.open('wb') as stream: + stream.write(struct.pack('<6I2Q',h,v,0,len(blocks)+2,0,0,h*(h-1),h*(h-1))) + stream.write(struct.pack('<2QI',0,0,0));stream.write(struct.pack('<2QI',0,0,h)) + for b in blocks:stream.write(struct.pack('<2QI',*b['frame'],b['rank'])) + oracle=subprocess.Popen([ORACLE_EXE,str(oracle_input)],stdin=subprocess.PIPE,stdout=subprocess.PIPE,text=True,bufsize=1) + oracles.append(oracle) + cache={} + def profile_entropy(a,b): + if (a,b) not in cache: + oracle.stdin.write(f'{a} {b}\n');oracle.stdin.flush() + answer=oracle.stdout.readline() + assert answer, 'profile oracle failed' + parts=list(map(int,answer.split()));assert len(parts)==h+1 + cache[a,b]=sum(n*w for n,w in zip(parts,weights)) + return cache[a,b] + def profile_cost(a,g): + old=frames[a]+2;target=g+2 + endpoint=pending[a]+2 if PENDING_COST and a in pending else 1 + return profile_entropy(old,endpoint)-profile_entropy(old,target)-profile_entropy(target,endpoint) + def acquire(g,anchors): + if reclaim: + bb={} + def ins(s): + row=slots[s];expr=1<>s&1;e^=1<>i&1) + if j!=i: + # Synthesize swap as three XORs at the single common frame. + for a,z in ((i,j),(j,i),(i,j)):rr[a]^=rr[z];elim.append((a,z)) + for j in range(len(ins)): + if j!=i and rr[j]>>i&1:rr[j]^=rr[i];elim.append((j,i)) + assert rr==[1<>i&1:xor(s,value_slots[y],g) + assert slots[s]==signal[x];value_slots[x]=s + used=set() + for u in outuses: + x=uses[u][0];s=value_slots[x] + if x in used: + ss=acquire(g,list(value_slots.values()));xor(ss,s,g);s=ss + used.add(x);assert u not in assign;assign[u]=s;assert s not in pending;pending[s]=uses[u][1] + if step%5000==0:print('compile',h,step,len(slots),'reclaimed',stats['reclaimed'],'seconds',time.time()-t0,flush=True,file=sys.stderr) + output_slots=[];output_records=[];scatter=[0]*v;J=[] + for u,(x,g,target)in enumerate(uses): + if target is None:continue + s=assign[u];assert slots[s]==signal[x];raise_(s,g);output_slots.append(s) + common,triple=target;output_records.append((s,g,common,triple)) + targets=[i for i,t in enumerate(c.inputs)if common in t]if len(triple)==1 else[c.inputs.index(triple)] + for i in targets:scatter[i]^=slots[s];J.append((v+i,2*v+s)) + rank=blocks[g]['rank'] + if len(triple)==1:hist[rank]+=1;hist[h-rank]+=1 + else:hist[h-1-rank]+=1;hist[1]+=1 + assert len(set(output_slots))==len(output_slots) + for s in retired:hist[h-blocks[frames[s]]['rank']]+=1 + assert len(retired)+len(output_slots)==len(slots) + assert scatter==[1< 3 and choice: + index = {1: 0, 2: (len(groups)-1)//2, 3: len(groups)-1}[choice] + if len(groups[index]) == 2: + groups[index:index+1] = [[point] for point in groups[index]] + assert all(len(group) in (1, 2) for group in groups) + assert len(groups) < len(points) + assert sorted(point for group in groups for point in group) == sorted(points) + return groups + return SplitPair + + +def graph(h): + config = configuration(h) + original = _graph.circuit_class + previous_points = _graph.alternating_points + try: + _graph.circuit_class = lambda dimension: split_class(original(dimension), config['groups']) + if config['anchor']: + def anchored_points(dimension, common): + points = previous_points(dimension, common) + pairs = [(a, a+1) for a in range(0, dimension-1, 2) if common not in (a, a+1)] + chosen = min(pairs) + result = list(chosen) + [x for x in points if x not in chosen] + assert sorted(result) == [x for x in range(dimension) if x != common] + return result + _graph.alternating_points = anchored_points + return _graph.graph(h) + finally: + _graph.circuit_class = original + _graph.alternating_points = previous_points + + +def ordered_build(original, h): + mode = configuration(h)['schedule'] + if mode == 'original': + return original + return _schedule.reordered_build(original, mode) diff --git a/research/depth-coarse/verify.py b/research/depth-coarse/verify.py new file mode 100644 index 0000000000..f26e473607 --- /dev/null +++ b/research/depth-coarse/verify.py @@ -0,0 +1,138 @@ +"""Independent literal-word/profile/exact certificate acceptance boundary. + +Explicit scatter binding follows the verification correction in rfu08 PR64. +Substantial OpenAI Codex assistance. Retained all-size hypotheses remain. +""" +import sys +if sys.flags.optimize:raise ValueError('Assertions must remain enabled') +sys.dont_write_bytecode=True +from pathlib import Path +import argparse,gzip,hashlib,itertools,json,os,shlex,shutil,subprocess,tempfile +from fractions import Fraction as Q +HERE=Path(__file__).resolve().parent +ROOT=HERE.parents[1] +sys.path.insert(0,str(ROOT/'scripts/experiments')) +from binary_frame_replay import replay +from binary_frame_profile_prepare import prepare +import binary_frame_math as arithmetic +from bindings import refine,audit +from construction import activate,compile_axis,compose + +def source_check(): + source=json.loads((HERE/'SOURCE.json').read_text()) + for name,digest in source['files'].items(): + assert hashlib.sha256((ROOT/name).read_bytes()).hexdigest()==digest,'Source/artifact changed: '+name + +def literal_binding(word): + """Exact ports, terminals and every literal J; no cancelling gate exemption.""" + d=json.loads(gzip.decompress(word.read_bytes())) + h,v,R=d['h'],d['v'],d['R'] + assert type(h) is int and h in (23,25) + triples=list(itertools.combinations(range(h),3));assert type(v) is int and v==len(triples) + assert type(R) is int and R>0 + valid=lambda n,limit:type(n) is int and 0<=n1 and Q(p['kappa'])>Q(old['kappa']),name+' complete profile not excluded' + return p + +def verify_menu_choice(choice): + source_check() + with tempfile.TemporaryDirectory(prefix='depth-coarse-menu-') as directory: + work=Path(directory);profiler=work/'profiles' + subprocess.run([*shlex.split(os.environ.get('CXX','c++')),'-O3','-std=c++17','-I',str(ROOT/'references/frame-compiler/pr48/scripts/partial_swap'),str(ROOT/'scripts/experiments/binary_frame_profiles.cpp'),'-o',str(profiler)],check=True) + for h in (23,25): + selected=json.loads((HERE/f'menu/{choice}-{h}.json').read_text()) + activate(choice);_,generated=compile_axis(h) + raw=(json.dumps(generated,separators=(',',':'))+'\n').encode() + assert hashlib.sha256(raw).hexdigest()==selected['word_sha256'],'Menu word differs' + word=work/f'word-{h}.json.gz';word.write_bytes(gzip.compress(raw,mtime=0)) + literal_binding(word) + assert json.loads(json.dumps(replay(word)))==selected['replay'] + transitions=work/f'axis-{h}.bin' + assert json.loads(json.dumps(prepare(word,transitions)))==selected['transitions'] + subprocess.run([str(profiler),str(transitions)],check=True) + assert json.loads(Path(str(transitions)+'.profiles.json').read_text())==selected['profile'] + print('PASS regenerated full menu axis',choice,h,flush=True) + +def verify(regenerate=False,arithmetic_only=False): + source_check() + with tempfile.TemporaryDirectory(prefix='balanced-split-verify-') as directory: + work=Path(directory) + if not arithmetic_only: + profiler=work/'profiles' + subprocess.run([*shlex.split(os.environ.get('CXX','c++')),'-O3','-std=c++17','-I',str(ROOT/'references/frame-compiler/pr48/scripts/partial_swap'),str(ROOT/'scripts/experiments/binary_frame_profiles.cpp'),'-o',str(profiler)],check=True) + for h in (23,25): + word=HERE/f'word-{h}.json.gz';literal_binding(word) + selected=json.loads((HERE/f'axis-{h}.json').read_text()) + raw=gzip.decompress(word.read_bytes()) + assert hashlib.sha256(raw).hexdigest()==selected['word_sha256'] + assert json.loads(json.dumps(replay(word)))==selected['replay'] + transitions=work/f'axis-{h}.bin' + assert json.loads(json.dumps(prepare(word,transitions)))==selected['transitions'] + subprocess.run([str(profiler),str(transitions)],check=True) + assert json.loads(Path(str(transitions)+'.profiles.json').read_text())==selected['profile'] + if regenerate: + selection=json.loads((HERE/'selection.json').read_text()) + activate(selection[str(h)]) + _,generated=compile_axis(h) + generated_raw=(json.dumps(generated,separators=(',',':'))+'\n').encode() + assert generated_raw==raw,'Regenerated word differs' + print('PASS literal scatter, all dirty/source/target basis, frames and CRT profiles h='+str(h),flush=True) + result=arithmetic_check(work) + print('PASS exact characteristic, complete PR71/75 exclusion, 47 strict constraints, 7 margins, next grids',flush=True) + return result + +if __name__=='__main__': + p=argparse.ArgumentParser();p.add_argument('--regenerate',action='store_true');p.add_argument('--arithmetic-only',action='store_true');p.add_argument('--menu-choice',choices=[''.join(x) for x in itertools.product('cr',repeat=3)]);a=p.parse_args() + if a.regenerate and a.arithmetic_only:p.error('Choose one mode') + if a.menu_choice: + if a.regenerate or a.arithmetic_only:p.error('Choose one mode') + verify_menu_choice(a.menu_choice) + else:verify(a.regenerate,a.arithmetic_only) diff --git a/research/depth-coarse/word-23.json.gz 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