From a22c4bc71c7783c867497941a718ed3976619fe6 Mon Sep 17 00:00:00 2001 From: igneum-labs <337424239+igneum-labs@users.noreply.github.com> Date: Wed, 7 Oct 2026 22:24:34 +0000 Subject: [PATCH] adv-accept report: row 90 result (10,000 seeds), the four deepest seeds against the 0.995 floor, six false refusals of nine; logs and rows copied Co-Authored-By: Claude Fable 5.1 --- .../logs/adv-accept/attempts-10k-a.log | 34 + .../logs/adv-accept/attempts-10k-a.txt | 10001 ++++++++++++++++ .../logs/adv-accept/gap-deep4.log | 95 + .../cryptanalysis/report-acceptance-rule.md | 49 +- 4 files changed, 10174 insertions(+), 5 deletions(-) create mode 100644 docs/analysis/cryptanalysis/logs/adv-accept/attempts-10k-a.log create mode 100644 docs/analysis/cryptanalysis/logs/adv-accept/attempts-10k-a.txt create mode 100644 docs/analysis/cryptanalysis/logs/adv-accept/gap-deep4.log diff --git a/docs/analysis/cryptanalysis/logs/adv-accept/attempts-10k-a.log b/docs/analysis/cryptanalysis/logs/adv-accept/attempts-10k-a.log new file mode 100644 index 000000000..861a2496b --- /dev/null +++ b/docs/analysis/cryptanalysis/logs/adv-accept/attempts-10k-a.log @@ -0,0 +1,34 @@ +lease: holding 32 pool cores (49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80, waited 1 s, class adv): adv-accept attempts-10k-a +adv-accept attempts: seeds 2..10002 (10000), 32 threads, cap 256, force-exhaust false +progress: 500 of 10000 seeds in 41 s +progress: 1000 of 10000 seeds in 81 s +progress: 1500 of 10000 seeds in 128 s +progress: 2000 of 10000 seeds in 176 s +progress: 2500 of 10000 seeds in 223 s +progress: 3000 of 10000 seeds in 270 s +progress: 3500 of 10000 seeds in 319 s +progress: 4000 of 10000 seeds in 367 s +progress: 4500 of 10000 seeds in 416 s +progress: 5000 of 10000 seeds in 461 s +progress: 5500 of 10000 seeds in 512 s +progress: 6000 of 10000 seeds in 562 s +progress: 6500 of 10000 seeds in 608 s +progress: 7000 of 10000 seeds in 655 s +progress: 7500 of 10000 seeds in 700 s +progress: 8000 of 10000 seeds in 745 s +progress: 8500 of 10000 seeds in 794 s +progress: 9000 of 10000 seeds in 841 s +progress: 9500 of 10000 seeds in 894 s +progress: 10000 of 10000 seeds in 940 s +attempts: 10000 seeds in 940 s; 21119 rejected candidates, 10000 accepted, 0 exhausted (cap 256) +rejection by part over all candidates: (a) stale=2463 (11.7%) (b) no-inject=658 (3.1%) (a') unfresh=17585 (83.3%) (c) const-bit=86 (0.4%) (c) lane-const=0 (0.0%) (c) saturated=68 (0.3%) (c') sat-source=13 (0.1%) (c'') repeated=0 (0.0%) (c'') low-entropy=238 (1.1%) (c) bias=0 (0.0%) (c) distinct=8 (0.0%) +accepted-attempt histogram 0..24: [3227, 2201, 1435, 981, 732, 449, 308, 211, 137, 118, 64, 41, 34, 16, 12, 10, 9, 5, 3, 4, 1, 1, 0, 0, 1] +attempt 0: 10000 candidates, rejected 6773 (67.7%): (a) stale=790 (b) no-inject=199 (a') unfresh=5667 (c) const-bit=21 (c) saturated=19 (c') sat-source=3 (c'') low-entropy=72 (c) distinct=2 +attempt 1: 6773 candidates, rejected 4572 (67.5%): (a) stale=561 (b) no-inject=151 (a') unfresh=3774 (c) const-bit=19 (c) saturated=9 (c') sat-source=2 (c'') low-entropy=53 (c) distinct=3 +attempt 2: 4572 candidates, rejected 3137 (68.6%): (a) stale=340 (b) no-inject=103 (a') unfresh=2632 (c) const-bit=19 (c) saturated=14 (c') sat-source=2 (c'') low-entropy=27 +attempt 3: 3137 candidates, rejected 2156 (68.7%): (a) stale=265 (b) no-inject=84 (a') unfresh=1756 (c) const-bit=9 (c) saturated=9 (c') sat-source=3 (c'') low-entropy=28 (c) distinct=2 +mean accepted attempt 2.112; per-candidate rejection probability 0.6787; P(256 consecutive rejections) if independent = 7.977e-44 +closed-form distinct-item mean of accepted programs: mean 127.9503 min 123.6704 +wrote /srv/builds/_adv-adv-accept/attempts-10k-a.txt +attempts DONE +lease: released 32 pool cores after 941 s, exit 0 diff --git a/docs/analysis/cryptanalysis/logs/adv-accept/attempts-10k-a.txt 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127.99951 +8761 5 1b2a558db99162ec 127.87305 +8792 4 307dcdd2dddfee62 128.00000 +8827 0 766e7c3da9c585ba 128.00000 +8861 3 157561788c1d1e67 127.99951 +8895 1 9d0958c3a666ad41 128.00000 +8933 1 7fc87385917665b0 127.93457 +8966 3 96f4107d4f45e6d8 127.74170 +8994 0 b3aad6e704f4690a 128.00000 +9033 0 f678c38761bacedf 128.00000 +9061 5 b450ed7c3ec65119 128.00000 +9124 0 48ec4ea20e3f9241 128.00000 +9160 0 25694b5cab29dea7 128.00000 +9196 1 f349f89f4fb91725 128.00000 +9232 0 2489f891035b5cf6 128.00000 +9267 3 7887718d31baa296 128.00000 +9294 7 79758219b8c414dc 128.00000 +9326 0 a036cc21a8cafd77 128.00000 +9355 0 22482e201bc51996 127.93555 +9391 1 121ec219680389d6 128.00000 +9419 7 3548254811409442 127.75928 +9479 0 013f00dbfa5b5508 128.00000 +9509 4 404a7fa9f427fcb8 128.00000 +9538 1 48a10797fd38c763 128.00000 +9561 1 1f1d8d13f33cffba 128.00000 +9593 2 b01c9967dfc1a61d 128.00000 +9625 0 41e3d4dd7aa741f7 128.00000 +9659 5 b4a67832183b2d6f 127.93994 +9689 9 7373c1dca5ea2b6c 128.00000 +9719 3 29dc2d4a48f4bb8c 127.94287 +9743 0 5cb13c45ba7b1231 128.00000 +9768 0 f498f9543fb66758 128.00000 +9792 8 6f43df1fe167e828 127.93311 +9816 0 fc68ac25921d004f 128.00000 +9840 3 3dc76198564144c4 128.00000 +9869 1 163bca92aab72a14 127.88721 +9896 2 92d8e4b7a7a41eb2 127.44678 +9921 0 56a940179b025220 128.00000 +9944 1 0fc7cd19bb688881 128.00000 +9970 3 d4fcea74ef447d48 128.00000 +9995 4 848869b544da1acb 127.87451 diff --git a/docs/analysis/cryptanalysis/logs/adv-accept/gap-deep4.log b/docs/analysis/cryptanalysis/logs/adv-accept/gap-deep4.log new file mode 100644 index 000000000..0d6acf78c --- /dev/null +++ b/docs/analysis/cryptanalysis/logs/adv-accept/gap-deep4.log @@ -0,0 +1,95 @@ +lease: 0 of 4 pool cores free (88 leased); waiting +lease: holding 8 pool cores (8,9,43,44,45,46,47,48, waited 667 s, class adv): adv-accept gap-deep4 +gap: seed 148927 +gap: program id c789fe5789ea71f0 attempt 0 class mx8-eracbf8f1c9+sh256x27 day 20730 (cache filled in 0.4 s) plant zero-dataset false +gap: mirror validated against hash_warp on 8 units (closed form and live) +gap: closed-form per-site distinct counts equal the library's distinct_indices_v4 on 4096 units +gap: (c) metrics on 64 units: closed distinct_mean 128.000 saturated 0 bias_max 63; live distinct_mean 128.000 saturated 1 bias_max 69 +gap: site 0 closed ratio 0.9814 (1027095) live ratio 0.9817 (1027358) diff -0.0003; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 1 closed ratio 1.0001 (1040512) live ratio 1.0000 (1040419) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 2 closed ratio 0.9986 (1045107) live ratio 0.9988 (1045258) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 3 closed ratio 1.0000 (1046567) live ratio 1.0000 (1046556) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 4 closed ratio 1.0000 (1046483) live ratio 1.0000 (1046504) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 5 closed ratio 0.9999 (1046467) live ratio 1.0000 (1046489) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 6 closed ratio 1.0000 (1046541) live ratio 1.0000 (1046517) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 7 closed ratio 1.0000 (1044478) live ratio 1.0000 (1044528) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 8 closed ratio 1.0000 (1040340) live ratio 1.0001 (1040466) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 9 closed ratio 1.0001 (1040476) live ratio 1.0001 (1040502) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 10 closed ratio 1.0000 (1040400) live ratio 1.0001 (1040517) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 11 closed ratio 0.9999 (1046439) live ratio 1.0000 (1046523) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 12 closed ratio 1.0000 (1040381) live ratio 1.0000 (1040371) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 13 closed ratio 1.0001 (1044585) live ratio 0.9999 (1044368) diff +0.0002; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 14 closed ratio 1.0000 (1044438) live ratio 1.0000 (1044452) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 15 closed ratio 1.0000 (1044502) live ratio 1.0000 (1044510) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: min ratio closed 0.9814 live 0.9817; largest site gap -0.0003 at site 0; verdict under the 0.98 floor: closed accept live accept; 11.0 s +gap DONE c789fe5789ea71f0 +gap: seed 150347 +gap: program id 23bc0a65fff5682b attempt 2 class mx8-era3d8e7f58+sh256x27 day 20730 (cache filled in 0.4 s) plant zero-dataset false +gap: mirror validated against hash_warp on 8 units (closed form and live) +gap: closed-form per-site distinct counts equal the library's distinct_indices_v4 on 4096 units +gap: (c) metrics on 64 units: closed distinct_mean 128.000 saturated 0 bias_max 59; live distinct_mean 128.000 saturated 0 bias_max 60 +gap: site 0 closed ratio 1.0000 (1044490) live ratio 1.0000 (1044433) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 1 closed ratio 1.0001 (1040518) live ratio 1.0001 (1040500) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 2 closed ratio 1.0000 (1044499) live ratio 1.0001 (1044534) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 3 closed ratio 0.9896 (1029530) live ratio 0.9894 (1029398) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 4 closed ratio 1.0000 (1046524) live ratio 1.0000 (1046562) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 5 closed ratio 1.0000 (1044525) live ratio 0.9999 (1044387) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 6 closed ratio 1.0002 (1040541) live ratio 1.0000 (1040361) diff +0.0002; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 7 closed ratio 1.0001 (1040533) live ratio 1.0001 (1040469) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 8 closed ratio 1.0000 (1046531) live ratio 1.0000 (1046482) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 9 closed ratio 0.9998 (1044278) live ratio 0.9997 (1044187) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 10 closed ratio 0.9999 (1040319) live ratio 1.0000 (1040397) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 11 closed ratio 1.0000 (1046540) live ratio 1.0001 (1046610) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 12 closed ratio 1.0001 (1040460) live ratio 1.0001 (1040517) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 13 closed ratio 1.0000 (1046515) live ratio 0.9999 (1046450) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 14 closed ratio 1.0000 (1044439) live ratio 1.0000 (1044466) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 15 closed ratio 1.0000 (1040417) live ratio 1.0000 (1040339) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: min ratio closed 0.9896 live 0.9894; largest site gap +0.0002 at site 6; verdict under the 0.98 floor: closed accept live accept; 11.4 s +gap DONE 23bc0a65fff5682b +gap: seed 29307 +gap: program id 0243919aa1b29078 attempt 4 class mx8-erab0d4cf9d+sh256x27 day 20730 (cache filled in 0.4 s) plant zero-dataset false +gap: mirror validated against hash_warp on 8 units (closed form and live) +gap: closed-form per-site distinct counts equal the library's distinct_indices_v4 on 4096 units +gap: (c) metrics on 64 units: closed distinct_mean 127.999 saturated 0 bias_max 60; live distinct_mean 127.999 saturated 0 bias_max 54 +gap: site 0 closed ratio 1.0001 (1040508) live ratio 1.0001 (1040447) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 1 closed ratio 0.9912 (1037356) live ratio 0.9913 (1037437) diff -0.0001; reads on indices read >= 8 times: closed 0.8769% live 0.8615% +gap: site 2 closed ratio 1.0000 (1044500) live ratio 1.0000 (1044474) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 3 closed ratio 1.0000 (1044442) live ratio 0.9999 (1044420) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 4 closed ratio 1.0000 (1046518) live ratio 0.9999 (1046475) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 5 closed ratio 1.0001 (1044567) live ratio 1.0000 (1044505) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 6 closed ratio 1.0000 (1044492) live ratio 1.0000 (1044513) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 7 closed ratio 1.0000 (1046523) live ratio 1.0000 (1046554) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 8 closed ratio 0.9999 (1040296) live ratio 1.0000 (1040399) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 9 closed ratio 1.0000 (1040424) live ratio 1.0001 (1040458) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 10 closed ratio 1.0001 (1046625) live ratio 1.0000 (1046515) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 11 closed ratio 0.9997 (1046220) live ratio 0.9997 (1046179) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 12 closed ratio 1.0000 (1040349) live ratio 1.0001 (1040470) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 13 closed ratio 1.0000 (1044461) live ratio 1.0000 (1044529) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 14 closed ratio 1.0001 (1040500) live ratio 0.9999 (1040298) diff +0.0002; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 15 closed ratio 1.0000 (1040426) live ratio 0.9999 (1040294) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: min ratio closed 0.9912 live 0.9913; largest site gap +0.0002 at site 14; verdict under the 0.98 floor: closed accept live accept; 12.0 s +gap DONE 0243919aa1b29078 +gap: seed 34501 +gap: program id 8b048a553cb6de4c attempt 5 class mx8-era3869ca66+sh256x27 day 20730 (cache filled in 0.4 s) plant zero-dataset false +gap: mirror validated against hash_warp on 8 units (closed form and live) +gap: closed-form per-site distinct counts equal the library's distinct_indices_v4 on 4096 units +gap: (c) metrics on 64 units: closed distinct_mean 128.000 saturated 0 bias_max 67; live distinct_mean 128.000 saturated 0 bias_max 63 +gap: site 0 closed ratio 0.9929 (1033010) live ratio 0.9929 (1033029) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 1 closed ratio 1.0002 (1040630) live ratio 1.0003 (1040669) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 2 closed ratio 1.0000 (1046531) live ratio 1.0001 (1046605) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 3 closed ratio 1.0001 (1046582) live ratio 1.0000 (1046570) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 4 closed ratio 1.0000 (1044462) live ratio 1.0001 (1044603) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 5 closed ratio 1.0000 (1044498) live ratio 1.0000 (1044515) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 6 closed ratio 1.0000 (1044487) live ratio 1.0001 (1044617) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 7 closed ratio 1.0001 (1040440) live ratio 1.0000 (1040347) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 8 closed ratio 1.0000 (1046539) live ratio 1.0000 (1046519) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 9 closed ratio 1.0000 (1044471) live ratio 1.0000 (1044445) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 10 closed ratio 1.0001 (1046594) live ratio 1.0000 (1046551) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 11 closed ratio 1.0000 (1044446) live ratio 0.9999 (1044358) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 12 closed ratio 1.0000 (1044523) live ratio 1.0000 (1044451) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 13 closed ratio 1.0001 (1040468) live ratio 1.0001 (1040488) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 14 closed ratio 1.0001 (1046629) live ratio 1.0000 (1046546) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: site 15 closed ratio 0.9998 (1040207) live ratio 1.0001 (1040470) diff -0.0003; reads on indices read >= 8 times: closed 0.0000% live 0.0000% +gap: min ratio closed 0.9929 live 0.9929; largest site gap -0.0003 at site 15; verdict under the 0.98 floor: closed accept live accept; 10.6 s +gap DONE 8b048a553cb6de4c +lease: released 8 pool cores after 722 s, exit 0 diff --git a/docs/analysis/cryptanalysis/report-acceptance-rule.md b/docs/analysis/cryptanalysis/report-acceptance-rule.md index 566c1e29e..689c84b59 100644 --- a/docs/analysis/cryptanalysis/report-acceptance-rule.md +++ b/docs/analysis/cryptanalysis/report-acceptance-rule.md @@ -36,7 +36,7 @@ check is owed once I copy its program.json read-only from build-1. |---|---|---|---|---|---| | Q1 | Steering/hot set: the chain's class v4 draw over the F8 label space (shards of 100k seeds; 19:27 BST to 19:4x BST under the SIGSTOP yield, since 19:4x BST nice 10 on cores 8-95, no yield), the stand-in per-site ratio at 256 units as the proxy, the live hot set by the unmodified f8 harness (adv-live) on the lowest-ratio seeds and on a consecutive-seed census | adv-live const-item plant FLAGGED (21.8x, X_1% +6.49); clean control 0.9996x PASS | X_f >= f flags a hot set; gain = implied on-die SRAM copy size | 88,051 accepted programs drawn; eight pass the rule and flag the f8 hot-set test at 2^24 nonces (100767, 4346, 5245, 1738, 170, 106924, 107022, 122960; X_0.1% +0.102% to +0.221%, 1.54x to 2.24x), 100767 also under the class v5 dataset; 30 lowest stand-in-ratio seeds live: 18 beyond the f8 1.2x gate, 8 hot sets; 20 random: 1 beyond, 0 hot sets; every hot set is 1 MB of items holding 0.26 to 0.41% of reads: gain 1.002x; the class v5 floor at 0.995 refuses all seven read at 2^20 (0.9821 to 0.9919) | FINDING, bounded: a program-dataflow distinguisher (site 6, a near-zero source under the 1% (c') limit) that survives the class v5 dataset; not an exploitable bypass; the 256-unit selector is weak (7 of 12 false positives); shards and 23 live rows re-queued in the lease pool | | Q2 | Stand-in gap: a validated mirror runs the rule's own units on the closed form and on the live dataset; per-site ratio at 2^20 and the (c) metrics compared | zero-dataset plant: live 0.9733 REJECT against closed accept (fired) | any false accept that reads a hot set on the live set | 54 programs: max per-site gap 0.0004 (the 2^20 sampling noise), mean min-ratio gap 0.00002, 0 verdict disagreements, (c) metrics agree to 0.019 of 128 | BOUND | -| Q3 | Handed to lane adv-accept-3 (unspawned); row 90 (exhaustion census: per-part rejections, cap, last resort) claimed by this lane, owner adv-accept-3 | forced-exhaust plant must hit the cap and print the last-resort program | P(exhaust) bounded; last resort characterised | attempts census over 20k seeds RUNNING (box 2); plant RUNNING | RUNNING (owner adv-accept-3, unspawned) | +| Q3 | Row 90 (exhaustion census) claimed by this lane, owner adv-accept-3 (unspawned): every candidate of 10,000 seeds through the real rule, first failing part recorded | forced-exhaust plant hit the cap and printed the last-resort program (accepted as drawn, no lossy op) | P(exhaust) bounded; last resort characterised | 21,119 rejections: (a') 83.3%, (a) 11.7%, (b) 3.1%, (c'') 1.1%, the rest under 1%; per-candidate rejection 0.6787 flat across attempts; P(exhaust) 8e-44; 0 exhaustions; max attempt 24; second 10,000 queued | BOUND (owner adv-accept-3, unspawned) | | Q4 | Handed to lane adv-accept-2 | | | | HANDED OVER | | Q5 | Generator distinguishers over accepted programs: lossy last write, register-set collapse, the per-site ratio tail against the 0.98 floor | the five lowest-ratio seeds reproduce as live tail programs (done); F8 p15/p18/p19/p56 reproduction owed | a structural shape that lowers the live distinct-item count | first 864: lossy last write in 83%, 0 register collapse, min ratio 0.9986 at 256 units; at 2^20 the tail reaches 0.9832 (floor 0.98) | RUNNING | | Q6 | Fixed (c) sample grindability; live-size invariance of the (c) verdict | | BOUND unless something fires | not started | PENDING | @@ -322,16 +322,26 @@ distinct-index ratio at the acceptance's own 2^20 sample, against the class v5 f | seed 19921 | fe35af21bc43a4cc | 4 | 0.9912 | refused | CLEAN live: 1.0005x (a false refusal) | | seed 600738 | ef6d49f3871af472 | 8 | 0.9934 | refused | CLEAN live: 1.0002x (a false refusal) | | seed 602822 | d8b5571c7abc80df | 3 | 0.9951 | at or above 0.995: passes | CLEAN live: 1.0003x (a true pass) | +| seed 148927 (gap-deep4.log, box 2, 23:23 BST; the lowest 256-unit read of 143,734) | c789fe5789ea71f0 | 0 | 0.9814 | refused | CLEAN live: 1.0028x (a false refusal) | +| seed 150347 | 23bc0a65fff5682b | 3 | 0.9896 | refused | CLEAN live: 1.0000x (a false refusal) | +| seed 34501 | 8b048a553cb6de4c | 0 | 0.9929 | refused | CLEAN live: 0.9998x (a false refusal) | +| seed 29307 | 0243919aa1b29078 | 1 (instr 3, src r3) | 0.9912 | refused | beyond the gate at 1.29x, no hot set by X_f; one item takes 0.027% of all reads (the third shape) | | Devnet 3 epoch 0, class v4 | fce15bf61030be57, 0 (day 20733) | 0 (instr 3, src r6) | 0.9992 / 0.9993 | AT OR ABOVE: a residual the floor misses | adv-cache-2: site 0 bit law P(bit 0..2 = 1) = 0.250 / 0.375 / 0.4375, chi2/dof 3.70 at 2^26 | | adv-cache-2 era-fixed-20 | 11f9f955b21d56c9, 1 | 11 (instr 46) | 0.9997 / 0.9997 | AT OR ABOVE: a residual | adv-cache-2: top 0.1% 1.26x its window control, one item read 512 times | | adv-cache-2 era-drawn-2 | 7ceb797d31eedb3e, 0 | 13 (instr 55) | 0.9992 / 0.9993 | AT OR ABOVE: a residual | adv-cache-2: chi2/dof 2.04, top 0.1% 1.27x | Reading. The floor at 0.995 refuses every program whose live hot set passes the f8 test X_f >= f (all eight of this lane's, minimum sites 0.9821 to 0.9919). It also refuses programs with NO live concentration: -of the five deepest 256-unit seeds, three (130488, 19921, 600738) read 0.9898 to 0.9934 at their minimum -site and are clean on the live set (1.0002x to 1.0005x), so a site can be measurably less than uniform at -2^20 on the stand-in without concentrating item reads live; these are the floor's false refusals, the -population it pays as its 2.4 percent clean rejection rate, and they cost the chain nothing but a redraw. +of the nine deepest 256-unit seeds read at 2^20, six (130488, 19921, 600738, 148927, 150347, 34501) read +0.9814 to 0.9934 at their minimum site and are clean on the live set (0.9998x to 1.0028x of the window +model, X_0.1% at 0.000 percent), one (602822) passes at 0.9951 and is clean, and two (122960, 29307) are +refused and concentrate live. So the (c'') statistic, repeated word indices at one site over 2^20 random +nonces, measures a stand-in deficiency that on the live set is usually spread thin (many indices read twice +or three times, no item above the noise in the top 0.1 percent) and only sometimes a hot set; the six are +the floor's false refusals, the population its 2.4 percent clean rejection rate pays, and each costs the +chain one redraw and nothing else. The 256-unit proxy and the 2^20 read agree on these deep seeds (148927: +0.9811 and 0.9814), so the proxy's weakness at the extreme is not sampling noise but this: a low ratio is +not a hot set. The floor does not reach the three milder concentrations (top 0.1 percent share 1.26x to 1.27x, chi2/dof 2 to 3.7) whose minimum site reads 0.9992 to 0.9997, inside the clean population's spread at 2^20 (clean median 0.9999, clean first percentile about 0.9993 over 29,032 programs). @@ -341,6 +351,35 @@ they are distinguishers at the chi-square level, not hot sets, and no floor on t keeps the clean rejection rate near 2.4 percent reaches them. The 1738 hot set's ratio (gap-hot3 on build-1) lands when its lease gets cores. +### Row 90 result (owner adv-accept-3, unspawned; claimed by this lane): the attempt loop over 10,000 seeds (box 2, 23:22 BST) + +`adv-accept attempts --seed-start 2 --seeds 10000 --threads 32 --out attempts-10k-a.txt` through +`lease pool 32 --min 16` (log logs/adv-accept/attempts-10k-a.log, rows attempts-10k-a.txt): every candidate +of every seed walked through the real rule, the first failing part recorded; 940 s on 32 cores. The second +half (seeds 10002 to 20001) waits on build-1. + +| Measure | Value | +|---|---| +| Seeds, accepted, exhausted | 10,000, 10,000, 0 (cap 256) | +| Rejected candidates | 21,119; per-candidate rejection probability 0.6787 | +| Rejection by part, all candidates | (a') unfresh 83.3%, (a) stale 11.7%, (b) no injecting write 3.1%, (c'') low-entropy site 1.1%, (c) constant bit 0.4%, (c) saturated 0.3%, (c') saturated source 0.1%, (c) distinct addresses 0.04%, (c) lane-constant 0, (c) bias 0, (c'') repeated 0 (not wired) | +| Attempt 0 | 10,000 candidates, 6,773 rejected (67.7%) | +| Attempts 1, 2, 3 | 67.5%, 68.6%, 68.7% rejected: the per-attempt rate does not drift | +| Accepted-attempt histogram 0..11 | 3,227, 2,201, 1,435, 981, 732, 449, 308, 211, 137, 118, 64, 41; max 24 (one seed); mean 2.112 | +| P(256 consecutive rejections) if attempts are independent | 0.6787^256 = 8.0e-44 | +| Closed-form distinct-item mean of the accepted programs | 127.95 of 128; minimum 123.67 (the floor is 120) | + +Reading. Rule (a') does the work: five of six rejections are the dataflow freshness check at the draw's +boundary, (a) and (b) one in seven, and the dynamic parts under 2 percent together, with (c'') the largest +of them at 1.1 percent (238 candidates, the per-site floor at 0.98). The per-attempt rejection rate is flat +at 68 percent across attempts 0 to 3, so attempts are independent draws and the cap of 256 is unreachable +in practice (8e-44 per seed; the devnet at one epoch an hour would need 10^39 years). The last resort is +therefore a path no chain reaches by chance; it is reachable only by a rule that rejects everything (the +plant above), and what it hands over is a program with no lossy op that the rule accepts as drawn. For an +attacker who steers the seed: the attempt index adds no freedom beyond the seed (each attempt is a fresh +seed-word set), and the accepted attempt's distribution is the same for every seed, so nothing in the +attempt scheme is a lever. Owner adv-accept-3 (unspawned); rows 91 and 92 are theirs. + ### Q2, the stand-in gap: first bound (box 2, 19:46 BST, `adv-accept gap`) Tool: a mirror interpreter with per-site index capture, run on the rule's own base nonces (seed-keyed