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adv-accept report: the five deepest seeds against the 0.995 floor (three false refusals, one true pass); log copied

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Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
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igneum-labs 2026-10-07 22:09:23 +00:00
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117
docs/analysis/cryptanalysis/logs/adv-accept/gap-newlow5.log Normal file
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lease: holding 8 pool cores (8,9,43,44,45,46,47,48, waited 0 s, class adv): adv-accept gap-newlow5
gap: seed 122960
gap: program id 4be7393ab6c84802 attempt 0 class mx8-era5800f15a+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 52; live distinct_mean 128.000 saturated 0 bias_max 54
gap: site 0 closed ratio 1.0000 (1040412) live ratio 1.0000 (1040386) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 1 closed ratio 1.0000 (1046542) live ratio 1.0000 (1046515) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 2 closed ratio 1.0000 (1046528) live ratio 1.0000 (1046577) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 3 closed ratio 1.0000 (1040378) live ratio 1.0002 (1040587) diff -0.0002; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 4 closed ratio 1.0000 (1044478) live ratio 1.0000 (1044490) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 5 closed ratio 1.0000 (1046515) live ratio 1.0000 (1046531) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 6 closed ratio 1.0000 (1046539) live ratio 1.0000 (1046516) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 7 closed ratio 0.9999 (1046443) live ratio 1.0000 (1046528) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 8 closed ratio 1.0001 (1046608) live ratio 0.9999 (1046470) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 9 closed ratio 1.0000 (1040417) live ratio 1.0001 (1040519) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 10 closed ratio 0.9999 (1044417) live ratio 1.0000 (1044430) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 11 closed ratio 1.0001 (1044609) live ratio 1.0000 (1044477) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 12 closed ratio 0.9824 (1028093) live ratio 0.9822 (1027920) diff +0.0002; reads on indices read >= 8 times: closed 1.3090% live 1.3251%
gap: site 13 closed ratio 1.0001 (1044617) live ratio 1.0001 (1044598) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 14 closed ratio 1.0000 (1040426) live ratio 1.0000 (1040402) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 15 closed ratio 1.0000 (1040387) live ratio 1.0001 (1040465) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: min ratio closed 0.9824 live 0.9822; largest site gap -0.0002 at site 3; verdict under the 0.98 floor: closed accept live accept; 11.8 s
gap DONE 4be7393ab6c84802
gap: seed 130488
gap: program id 24d5e6511a1b83dc attempt 6 class mx8-eraaa75d178+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 1 bias_max 70; live distinct_mean 128.000 saturated 0 bias_max 77
gap: site 0 closed ratio 1.0000 (1046529) live ratio 1.0000 (1046535) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 1 closed ratio 1.0000 (1046565) live ratio 1.0000 (1046578) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 2 closed ratio 1.0001 (1040505) live ratio 1.0001 (1040460) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 3 closed ratio 1.0001 (1040487) live ratio 1.0000 (1040383) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 4 closed ratio 1.0000 (1044450) live ratio 1.0000 (1044437) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 5 closed ratio 0.9898 (1035816) live ratio 0.9899 (1035924) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 6 closed ratio 1.0000 (1044483) live ratio 1.0001 (1044574) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 7 closed ratio 1.0000 (1044456) live ratio 1.0001 (1044594) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 8 closed ratio 1.0000 (1046579) live ratio 1.0001 (1046609) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 9 closed ratio 1.0001 (1044544) live ratio 0.9999 (1044416) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 10 closed ratio 1.0001 (1040508) live ratio 1.0000 (1040412) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 11 closed ratio 1.0000 (1040378) live ratio 1.0000 (1040423) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 12 closed ratio 1.0001 (1044573) live ratio 1.0000 (1044445) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 13 closed ratio 0.9999 (1044363) live ratio 0.9999 (1044407) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 14 closed ratio 1.0000 (1044461) live ratio 1.0001 (1044543) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 15 closed ratio 0.9999 (1046441) live ratio 1.0000 (1046495) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: min ratio closed 0.9898 live 0.9899; largest site gap -0.0001 at site 7; verdict under the 0.98 floor: closed accept live accept; 10.9 s
gap DONE 24d5e6511a1b83dc
gap: seed 19921
gap: program id fe35af21bc43a4cc attempt 7 class mx8-era551f20b4+sh256x27 day 20730 (cache filled in 0.6 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 45; live distinct_mean 128.000 saturated 0 bias_max 58
gap: site 0 closed ratio 1.0000 (1044469) live ratio 1.0000 (1044476) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 1 closed ratio 1.0000 (1046508) live ratio 1.0000 (1046521) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 2 closed ratio 1.0000 (1046506) live ratio 1.0000 (1046512) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 3 closed ratio 1.0000 (1046485) live ratio 1.0000 (1046553) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 4 closed ratio 0.9912 (1037277) live ratio 0.9911 (1037205) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 5 closed ratio 1.0000 (1046520) live ratio 0.9999 (1046458) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 6 closed ratio 1.0000 (1046491) live ratio 1.0000 (1046558) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 7 closed ratio 1.0001 (1044578) live ratio 0.9999 (1044375) diff +0.0002; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 8 closed ratio 0.9999 (1046376) live ratio 1.0000 (1046571) diff -0.0002; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 9 closed ratio 1.0000 (1044452) live ratio 1.0001 (1044609) diff -0.0002; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 10 closed ratio 1.0001 (1044584) live ratio 1.0000 (1044498) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 11 closed ratio 1.0001 (1044594) live ratio 0.9999 (1044409) diff +0.0002; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 12 closed ratio 1.0001 (1040490) live ratio 1.0001 (1040446) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 13 closed ratio 1.0001 (1044628) live ratio 1.0000 (1044521) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 14 closed ratio 1.0000 (1040406) live ratio 1.0001 (1040509) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 15 closed ratio 0.9998 (1040162) live ratio 1.0002 (1040550) diff -0.0004; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: min ratio closed 0.9912 live 0.9911; largest site gap -0.0004 at site 15; verdict under the 0.98 floor: closed accept live accept; 17.4 s
gap DONE fe35af21bc43a4cc
gap: seed 600738
gap: program id ef6d49f3871af472 attempt 4 class mx8-era190e00ce+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 23 bias_max 50; live distinct_mean 128.000 saturated 16 bias_max 71
gap: site 0 closed ratio 1.0001 (1044552) live ratio 1.0000 (1044519) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 1 closed ratio 1.0000 (1040387) live ratio 1.0001 (1040456) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 2 closed ratio 1.0001 (1040452) live ratio 1.0000 (1040333) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 3 closed ratio 1.0000 (1040400) live ratio 1.0002 (1040621) diff -0.0002; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 4 closed ratio 1.0000 (1040390) live ratio 1.0002 (1040543) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 5 closed ratio 1.0000 (1046535) live ratio 1.0000 (1046503) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 6 closed ratio 1.0001 (1040495) live ratio 0.9998 (1040221) diff +0.0003; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 7 closed ratio 1.0002 (1040586) live ratio 1.0000 (1040399) diff +0.0002; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 8 closed ratio 0.9934 (1039606) live ratio 0.9933 (1039499) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 9 closed ratio 0.9999 (1044362) live ratio 1.0000 (1044485) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 10 closed ratio 1.0000 (1040377) live ratio 1.0002 (1040566) diff -0.0002; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 11 closed ratio 1.0001 (1046594) live ratio 1.0000 (1046500) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 12 closed ratio 1.0000 (1044514) live ratio 1.0001 (1044594) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 13 closed ratio 1.0000 (1044440) live ratio 1.0001 (1044552) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 14 closed ratio 1.0001 (1046593) live ratio 1.0000 (1046569) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 15 closed ratio 1.0000 (1046509) live ratio 1.0000 (1046522) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: min ratio closed 0.9934 live 0.9933; largest site gap +0.0003 at site 6; verdict under the 0.98 floor: closed accept live accept; 10.8 s
gap DONE ef6d49f3871af472
gap: seed 602822
gap: program id d8b5571c7abc80df attempt 6 class mx8-era7d3d7ad9+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 58
gap: site 0 closed ratio 1.0001 (1040442) live ratio 1.0002 (1040572) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 1 closed ratio 1.0000 (1046498) live ratio 1.0000 (1046564) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 2 closed ratio 1.0000 (1046576) live ratio 1.0000 (1046476) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 3 closed ratio 0.9951 (1039315) live ratio 0.9951 (1039414) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 4 closed ratio 1.0001 (1040449) live ratio 1.0000 (1040401) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 5 closed ratio 1.0000 (1044504) live ratio 1.0000 (1044510) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 6 closed ratio 0.9999 (1040285) live ratio 1.0001 (1040495) diff -0.0002; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 7 closed ratio 1.0000 (1044485) live ratio 1.0000 (1044526) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 8 closed ratio 1.0000 (1040341) live ratio 1.0001 (1040518) diff -0.0002; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 9 closed ratio 0.9999 (1046458) live ratio 1.0000 (1046547) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 10 closed ratio 1.0000 (1046546) live ratio 1.0000 (1046553) diff -0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 11 closed ratio 1.0001 (1044550) live ratio 1.0000 (1044461) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 12 closed ratio 1.0001 (1046591) live ratio 1.0000 (1046513) diff +0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 13 closed ratio 1.0001 (1040449) live ratio 1.0000 (1040416) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 14 closed ratio 1.0000 (1044458) live ratio 1.0000 (1044446) diff +0.0000; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: site 15 closed ratio 1.0000 (1044480) live ratio 1.0001 (1044596) diff -0.0001; reads on indices read >= 8 times: closed 0.0000% live 0.0000%
gap: min ratio closed 0.9951 live 0.9951; largest site gap -0.0002 at site 6; verdict under the 0.98 floor: closed accept live accept; 10.6 s
gap DONE d8b5571c7abc80df
lease: released 8 pool cores after 77 s, exit 0

11
docs/analysis/cryptanalysis/report-acceptance-rule.md
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@ -277,12 +277,21 @@ distinct-index ratio at the acceptance's own 2^20 sample, against the class v5 f
| seed 1738 (gap-hot3.log, build-1, 21:37 BST) | 33ece54e2df5ea44, 4 | 13 (instr 54) | 0.9868 / 0.9870 | refused | hot set, +0.102%, 1.68x |
| seed 170 (gap-hot4.log, build-1, 21:48 BST) | 53a02a7c9c9b86f3, 4 | 2 (instr 11) | 0.9880 / 0.9877 | refused | hot set, +0.143%, 2.02x |
| seed 122960 (gap-122960.log, build-2, 22:41 BST; the deepest tail seed) | 4be7393ab6c84802, 0 | 12 (instr 45, src r6, full window) | 0.9824 / 0.9822; 1.31% of the site's reads on indices read 8 or more times | refused | hot set, +0.111%, 1.54x; hottest item 0.022% of all reads |
| seed 130488 (gap-newlow5.log, box 2, 23:08 BST) | 24d5e6511a1b83dc | 5 | 0.9898 | refused | CLEAN live: 1.0002x, X_0.1% +0.000% (a false refusal) |
| 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) |
| 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), and does not reach the three milder concentrations (top 0.1
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.
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).
Devnet 3's own first program is one of those three. What those residuals are worth to a chip: a 1.26x share