adv-cache-2: 4,096-program window census confirms the closed form; logs (internal adversarial pass, not an independent review)
Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
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igneum-labs
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[2026-10-07T18:55:43Z] adv-cache-2 0.1.0 (igneum-pow generator v4); args ["warps", "--programs", "devnet3", "--day", "20733", "--nonces", "67108864", "--threads", "80", "--validate", "sample", "--out", "/srv/builds/_adv-adv-cache-2"]
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[2026-10-07T18:55:43Z] warps: programs ["devnet3"] day 20733 nonces 67108864 threads 80 plant none validate sample check_every 997 fingerprint false
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[2026-10-07T18:55:43Z] day 20733: cache filled in 0.63 s, fnv 7334fa46e5d972eb
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[2026-10-07T18:55:48Z] table: 16777216 items derived with their 8 lines in 3.8 s; library comparison sample (0 mismatches)
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[2026-10-07T18:55:52Z] program devnet3-epoch0: epoch seed 4020cb4382e3fe4b281c817c02582e147d8f851f566ae9172b28912b8e68b925 era seed 4020cb4382e3fe4b281c817c02582e147d8f851f566ae9172b28912b8e68b925 id fce15bf61030be57 attempt 0 class mx8-eraaf3a9139+sh256x27 op mix load=16 add=11 shfl=7 mad=6 xor=6 mul=4 mulhi=4 rotr=4 rotl=3 sub=2 or=1; era stride mul 0x2cb18b35 rot 9 interleave [1, 9, 13, 14]; sites instr:win:off 3:0:0 8:2:2 14:1:0 15:0:0 20:1:1 26:1:1 28:1:1 35:0:0 40:2:3 43:1:0 47:1:1 49:0:0 52:2:3 53:0:0 61:1:1 62:1:1
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[2026-10-07T18:55:52Z] window layer devnet3-epoch0: site windows (first, items) (0x0,2^24) (0x800000,2^22) (0x0,2^23) (0x0,2^24) (0x800000,2^23) (0x800000,2^23) (0x800000,2^23) (0x0,2^24) (0xc00000,2^22) (0x0,2^23) (0x800000,2^23) (0x0,2^24) (0xc00000,2^22) (0x0,2^24) (0x800000,2^23) (0x800000,2^23); expected share per quarter 0.1406 0.1406 0.3281 0.3906; top quarter 0.3906 (uniform 0.25), top aligned half 0.7188 (uniform 0.5)
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[2026-10-07T19:01:06Z] devnet3-epoch0: 2097152 warps (67108864 nonces) interpreted in 314.6 s (12.002 ms per warp per thread); Epoch::hash_warp agreement on 2167 warps: 0 mismatches
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[2026-10-07T19:01:06Z] devnet3-epoch0: warp 0 lanes agree with the pack's vectors.json
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[2026-10-07T19:01:07Z] devnet3-epoch0 item histogram (flat): bins 16777216 reads 8589934592 mean 512.000 sigma 22.627 max 961 (bin 16152782) z_max +19.84 min 196 z_min -13.97 chi2/dof 103.17393 chi2_z +295927.31 top0.1% 0.17409% top0.5% 0.85365% top1% 1.69081%
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[2026-10-07T19:01:07Z] devnet3-epoch0: measured share per quarter 0.14062 0.14063 0.32813 0.39063; top quarter 0.39063 (window model 0.39062, uniform 0.25); top aligned half 0.71876 (model 0.71875, uniform 0.5)
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[2026-10-07T19:01:34Z] devnet3-epoch0 WINDOWED CONTROL item histogram: bins 16777216 reads 8589934592 mean 512.000 sigma 22.627 max 943 (bin 15265770) z_max +19.05 min 205 z_min -13.57 chi2/dof 102.99998 chi2_z +295423.48 top0.1% 0.17286% top0.5% 0.84890% top1% 1.68270%
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[2026-10-07T19:01:56Z] devnet3-epoch0 FLAT CONTROL item histogram: bins 16777216 reads 8589934592 mean 512.000 sigma 22.627 max 636 (bin 4878128) z_max +5.48 min 398 z_min -5.04 chi2/dof 1.00036 chi2_z +1.04 top0.1% 0.11521% top0.5% 0.56508% top1% 1.11977%
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[2026-10-07T19:01:56Z] hot-set devnet3-epoch0 items (windowed control): f 0.1% S_f 0.17409% E_f(control) 0.17286% X_f +0.00123% X_f/f +0.0123 ratio S/E 1.0071x -> no hot set
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[2026-10-07T19:01:56Z] hot-set devnet3-epoch0 items (windowed control): f 0.5% S_f 0.85365% E_f(control) 0.84890% X_f +0.00475% X_f/f +0.0095 ratio S/E 1.0056x -> no hot set
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[2026-10-07T19:01:56Z] hot-set devnet3-epoch0 items (windowed control): f 1.0% S_f 1.69081% E_f(control) 1.68270% X_f +0.00811% X_f/f +0.0081 ratio S/E 1.0048x -> no hot set
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[2026-10-07T19:01:56Z] hot-set devnet3-epoch0 items (windowed control): verdict clear
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[2026-10-07T19:01:56Z] hot-set devnet3-epoch0 items (flat control): f 0.1% S_f 0.17409% E_f(control) 0.11521% X_f +0.05889% X_f/f +0.5889 ratio S/E 1.5111x -> no hot set
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[2026-10-07T19:01:56Z] hot-set devnet3-epoch0 items (flat control): f 0.5% S_f 0.85365% E_f(control) 0.56508% X_f +0.28857% X_f/f +0.5771 ratio S/E 1.5107x -> no hot set
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[2026-10-07T19:01:56Z] hot-set devnet3-epoch0 items (flat control): f 1.0% S_f 1.69081% E_f(control) 1.11977% X_f +0.57103% X_f/f +0.5710 ratio S/E 1.5100x -> no hot set
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[2026-10-07T19:01:56Z] hot-set devnet3-epoch0 items (flat control): verdict clear
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[2026-10-07T19:01:56Z] 6-sigma devnet3-epoch0 items buckets64 against the window density: largest +21.83 sigma smallest -7.36; WINDOWED CONTROL largest +4.69 smallest -4.43 -> FLAGGED (beyond 6 sigma; compare the control)
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[2026-10-07T19:01:58Z] site 0 (instr 3, win 0, off 0, window 2^24 items, reads outside the window 0): hist: bins 16777216 reads 536870912 mean 32.000 sigma 5.657 max 101 (bin 6291541) z_max +12.20 min 4 z_min -4.95 chi2/dof 3.70165 chi2_z +7824.80 top0.1% 0.23843% top0.5% 1.10453% top1% 2.12531%; control top0.1% 0.16452% top1% 1.50121%; ratio top0.1% 1.4492x top1% 1.4157x; z_max +12.20
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[2026-10-07T19:02:00Z] site 1 (instr 8, win 2, off 2, window 2^22 items, reads outside the window 0): hist: bins 4194304 reads 536870912 mean 128.000 sigma 11.314 max 190 (bin 3666732) z_max +5.48 min 74 z_min -4.77 chi2/dof 1.00121 chi2_z +1.76 top0.1% 0.13106% top0.5% 0.63252% top1% 1.24341%; control top0.1% 0.13096% top1% 1.24280%; ratio top0.1% 1.0007x top1% 1.0005x; z_max +5.48
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[2026-10-07T19:02:01Z] site 2 (instr 14, win 1, off 0, window 2^23 items, reads outside the window 0): hist: bins 8388608 reads 536870912 mean 64.000 sigma 8.000 max 108 (bin 8323529) z_max +5.50 min 23 z_min -5.12 chi2/dof 1.00043 chi2_z +0.88 top0.1% 0.14472% top0.5% 0.69039% top1% 1.34892%; control top0.1% 0.14470% top1% 1.34885%; ratio top0.1% 1.0001x top1% 1.0001x; z_max +5.50
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[2026-10-07T19:02:02Z] site 3 (instr 15, win 0, off 0, window 2^24 items, reads outside the window 0): hist: bins 16777216 reads 536870912 mean 32.000 sigma 5.657 max 70 (bin 8918436) z_max +6.72 min 7 z_min -4.42 chi2/dof 0.99986 chi2_z -0.39 top0.1% 0.16462% top0.5% 0.77434% top1% 1.50120%; control top0.1% 0.16456% top1% 1.50150%; ratio top0.1% 1.0004x top1% 0.9998x; z_max +6.72
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[2026-10-07T19:02:04Z] site 4 (instr 20, win 1, off 1, window 2^23 items, reads outside the window 0): hist: bins 8388608 reads 536870912 mean 64.000 sigma 8.000 max 110 (bin 4488508) z_max +5.75 min 28 z_min -4.50 chi2/dof 1.00024 chi2_z +0.48 top0.1% 0.14460% top0.5% 0.69004% top1% 1.34834%; control top0.1% 0.14469% top1% 1.34871%; ratio top0.1% 0.9994x top1% 0.9997x; z_max +5.75
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[2026-10-07T19:02:05Z] site 5 (instr 26, win 1, off 1, window 2^23 items, reads outside the window 0): hist: bins 8388608 reads 536870912 mean 64.000 sigma 8.000 max 110 (bin 8338027) z_max +5.75 min 27 z_min -4.62 chi2/dof 1.00092 chi2_z +1.88 top0.1% 0.14477% top0.5% 0.69067% top1% 1.34938%; control top0.1% 0.14466% top1% 1.34845%; ratio top0.1% 1.0008x top1% 1.0007x; z_max +5.75
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[2026-10-07T19:02:06Z] site 6 (instr 28, win 1, off 1, window 2^23 items, reads outside the window 0): hist: bins 8388608 reads 536870912 mean 64.000 sigma 8.000 max 112 (bin 4072225) z_max +6.00 min 25 z_min -4.88 chi2/dof 1.00037 chi2_z +0.76 top0.1% 0.14473% top0.5% 0.69036% top1% 1.34879%; control top0.1% 0.14459% top1% 1.34844%; ratio top0.1% 1.0010x top1% 1.0003x; z_max +6.00
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[2026-10-07T19:02:07Z] site 7 (instr 35, win 0, off 0, window 2^24 items, reads outside the window 0): hist: bins 16777216 reads 536870912 mean 32.000 sigma 5.657 max 65 (bin 7452042) z_max +5.83 min 7 z_min -4.42 chi2/dof 0.99940 chi2_z -1.75 top0.1% 0.16459% top0.5% 0.77428% top1% 1.50106%; control top0.1% 0.16460% top1% 1.50163%; ratio top0.1% 0.9999x top1% 0.9996x; z_max +5.83
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[2026-10-07T19:02:08Z] site 8 (instr 40, win 2, off 3, window 2^22 items, reads outside the window 0): hist: bins 4194304 reads 536870912 mean 128.000 sigma 11.314 max 194 (bin 1241310) z_max +5.83 min 75 z_min -4.68 chi2/dof 0.99949 chi2_z -0.75 top0.1% 0.13111% top0.5% 0.63256% top1% 1.24342%; control top0.1% 0.13108% top1% 1.24319%; ratio top0.1% 1.0002x top1% 1.0002x; z_max +5.83
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[2026-10-07T19:02:10Z] site 9 (instr 43, win 1, off 0, window 2^23 items, reads outside the window 0): hist: bins 8388608 reads 536870912 mean 64.000 sigma 8.000 max 112 (bin 2157219) z_max +6.00 min 25 z_min -4.88 chi2/dof 1.00023 chi2_z +0.48 top0.1% 0.14459% top0.5% 0.69020% top1% 1.34866%; control top0.1% 0.14466% top1% 1.34874%; ratio top0.1% 0.9995x top1% 0.9999x; z_max +6.00
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[2026-10-07T19:02:11Z] site 10 (instr 47, win 1, off 1, window 2^23 items, reads outside the window 0): hist: bins 8388608 reads 536870912 mean 64.000 sigma 8.000 max 110 (bin 537096) z_max +5.75 min 26 z_min -4.75 chi2/dof 0.99986 chi2_z -0.29 top0.1% 0.14471% top0.5% 0.69012% top1% 1.34840%; control top0.1% 0.14470% top1% 1.34880%; ratio top0.1% 1.0001x top1% 0.9997x; z_max +5.75
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[2026-10-07T19:02:13Z] site 11 (instr 49, win 0, off 0, window 2^24 items, reads outside the window 0): hist: bins 16777216 reads 536870912 mean 32.000 sigma 5.657 max 65 (bin 2137700) z_max +5.83 min 6 z_min -4.60 chi2/dof 0.99932 chi2_z -1.96 top0.1% 0.16463% top0.5% 0.77435% top1% 1.50110%; control top0.1% 0.16468% top1% 1.50153%; ratio top0.1% 0.9997x top1% 0.9997x; z_max +5.83
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[2026-10-07T19:02:14Z] site 12 (instr 52, win 2, off 3, window 2^22 items, reads outside the window 0): hist: bins 4194304 reads 536870912 mean 128.000 sigma 11.314 max 190 (bin 2564994) z_max +5.48 min 76 z_min -4.60 chi2/dof 1.00058 chi2_z +0.85 top0.1% 0.13110% top0.5% 0.63250% top1% 1.24335%; control top0.1% 0.13118% top1% 1.24351%; ratio top0.1% 0.9994x top1% 0.9999x; z_max +5.48
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[2026-10-07T19:02:16Z] site 13 (instr 53, win 0, off 0, window 2^24 items, reads outside the window 0): hist: bins 16777216 reads 536870912 mean 32.000 sigma 5.657 max 66 (bin 6786067) z_max +6.01 min 6 z_min -4.60 chi2/dof 1.00070 chi2_z +2.04 top0.1% 0.16462% top0.5% 0.77471% top1% 1.50177%; control top0.1% 0.16447% top1% 1.50113%; ratio top0.1% 1.0009x top1% 1.0004x; z_max +6.01
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[2026-10-07T19:02:17Z] site 14 (instr 61, win 1, off 1, window 2^23 items, reads outside the window 0): hist: bins 8388608 reads 536870912 mean 64.000 sigma 8.000 max 108 (bin 4674634) z_max +5.50 min 26 z_min -4.75 chi2/dof 0.99972 chi2_z -0.58 top0.1% 0.14464% top0.5% 0.69012% top1% 1.34862%; control top0.1% 0.14473% top1% 1.34881%; ratio top0.1% 0.9994x top1% 0.9999x; z_max +5.50
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[2026-10-07T19:02:19Z] site 15 (instr 62, win 1, off 1, window 2^23 items, reads outside the window 0): hist: bins 8388608 reads 536870912 mean 64.000 sigma 8.000 max 109 (bin 1873620) z_max +5.62 min 27 z_min -4.62 chi2/dof 0.99996 chi2_z -0.09 top0.1% 0.14467% top0.5% 0.69032% top1% 1.34878%; control top0.1% 0.14459% top1% 1.34838%; ratio top0.1% 1.0005x top1% 1.0003x; z_max +5.62
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[2026-10-07T19:02:20Z] devnet3-epoch0 LINE histogram (8 lines per item read): bins 4194304 reads 68719476736 mean 16384.000 sigma 128.000 max 34856 (bin 3131236) z_max +144.31 min 3879 z_min -97.70 chi2/dof 614.58557 chi2_z +888566.71 top0.1% 0.17222% top0.5% 0.80541% top1% 1.55837%
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[2026-10-07T19:02:21Z] devnet3-epoch0 LINE histogram under the WINDOWED CONTROL items: bins 4194304 reads 68719476736 mean 16384.000 sigma 128.000 max 34737 (bin 3977277) z_max +143.38 min 3873 z_min -97.74 chi2/dof 614.38847 chi2_z +888281.28 top0.1% 0.17222% top0.5% 0.80541% top1% 1.55833%
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[2026-10-07T19:02:21Z] hot-set devnet3-epoch0 lines (windowed control): f 0.1% S_f 0.17222% E_f(control) 0.17222% X_f +0.00000% X_f/f +0.0000 ratio S/E 1.0000x -> no hot set
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[2026-10-07T19:02:21Z] hot-set devnet3-epoch0 lines (windowed control): f 0.5% S_f 0.80541% E_f(control) 0.80541% X_f -0.00000% X_f/f -0.0000 ratio S/E 1.0000x -> no hot set
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[2026-10-07T19:02:21Z] hot-set devnet3-epoch0 lines (windowed control): f 1.0% S_f 1.55837% E_f(control) 1.55833% X_f +0.00005% X_f/f +0.0000 ratio S/E 1.0000x -> no hot set
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[2026-10-07T19:02:21Z] hot-set devnet3-epoch0 lines (windowed control): verdict clear
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[2026-10-07T19:02:21Z] devnet3-epoch0 SEGMENT histogram (lines / 64): bins 65536 reads 68719476736 mean 1048576.000 sigma 1024.000 max 1165220 (bin 23276) z_max +113.91 min 938804 z_min -107.20 chi2/dof 609.52215 chi2_z +110153.44 top0.1% 0.10908% top0.5% 0.53623% top1% 1.06489%
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[2026-10-07T19:02:21Z] devnet3-epoch0 SEGMENT histogram under the WINDOWED CONTROL items: bins 65536 reads 68719476736 mean 1048576.000 sigma 1024.000 max 1166299 (bin 23276) z_max +114.96 min 939924 z_min -106.11 chi2/dof 609.14866 chi2_z +110085.83 top0.1% 0.10909% top0.5% 0.53625% top1% 1.06490%
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[2026-10-07T19:02:21Z] lines-vs-control devnet3-epoch0: chi2/dof lines 614.5856 vs control 614.3885; z_max +144.31 vs +143.38; segments chi2/dof 609.5222 vs 609.1487; z_max +113.91 vs +114.96 -> matches the control
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[2026-10-07T19:02:26Z] devnet3-epoch0 REAL LINE STORE: f=1/2 stride: hit 0.50000 evals/item 4.0000 ops/item 2432 (+0.260x of 9360); f=1/2 hottest: hit 0.57719 evals/item 6.6550 ops/item 4046 (+0.432x of 9360); f=1/4 stride: hit 0.24999 evals/item 12.0007 ops/item 7296 (+0.780x of 9360); f=1/4 hottest: hit 0.31299 evals/item 20.9483 ops/item 12737 (+1.361x of 9360); f=1/8 stride: hit 0.12499 evals/item 27.9998 ops/item 17024 (+1.819x of 9360); f=1/8 hottest: hit 0.16648 evals/item 47.5519 ops/item 28912 (+3.089x of 9360); f=1/16 stride: hit 0.06250 evals/item 59.9981 ops/item 36479 (+3.897x of 9360); f=1/16 hottest: hit 0.08761 evals/item 89.9929 ops/item 54716 (+5.846x of 9360); f=1/32 stride: hit 0.03125 evals/item 123.9887 ops/item 75385 (+8.054x of 9360); f=1/32 hottest: hit 0.04578 evals/item 141.4274 ops/item 85988 (+9.187x of 9360); f=1/64 stride: hit 0.01563 evals/item 251.9659 ops/item 153195 (+16.367x of 9360); f=1/64 hottest: hit 0.02380 evals/item 187.4766 ops/item 113986 (+12.178x of 9360)
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[2026-10-07T19:02:30Z] devnet3-epoch0 WINDOWED CONTROL LINE STORE: f=1/2 stride: hit 0.50000 evals/item 4.0000 ops/item 2432 (+0.260x of 9360); f=1/2 hottest: hit 0.57718 evals/item 6.6544 ops/item 4046 (+0.432x of 9360); f=1/4 stride: hit 0.24999 evals/item 12.0007 ops/item 7296 (+0.780x of 9360); f=1/4 hottest: hit 0.31298 evals/item 20.9515 ops/item 12739 (+1.361x of 9360); f=1/8 stride: hit 0.12499 evals/item 27.9999 ops/item 17024 (+1.819x of 9360); f=1/8 hottest: hit 0.16648 evals/item 47.5496 ops/item 28910 (+3.089x of 9360); f=1/16 stride: hit 0.06249 evals/item 59.9985 ops/item 36479 (+3.897x of 9360); f=1/16 hottest: hit 0.08761 evals/item 89.8789 ops/item 54646 (+5.838x of 9360); f=1/32 stride: hit 0.03125 evals/item 123.9892 ops/item 75385 (+8.054x of 9360); f=1/32 hottest: hit 0.04578 evals/item 141.4861 ops/item 86024 (+9.191x of 9360); f=1/64 stride: hit 0.01563 evals/item 251.9670 ops/item 153196 (+16.367x of 9360); f=1/64 hottest: hit 0.02380 evals/item 187.3041 ops/item 113881 (+12.167x of 9360)
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[2026-10-07T19:02:31Z] devnet3-epoch0 ITEM STORE (hottest items, read-weighted): f=0.001: S_f 0.00174 (control 0.00173, uniform 0.00100); ops/hash 1196506 vs model 1197394 (0.9993x); f=0.01: S_f 0.01691 (control 0.01683, uniform 0.01000); ops/hash 1178335 vs model 1186611 (0.9930x); f=0.1: S_f 0.16188 (control 0.16159, uniform 0.10000); ops/hash 1004643 vs model 1078784 (0.9313x); f=0.25: S_f 0.39075 (control 0.39071, uniform 0.25000); ops/hash 730436 vs model 899072 (0.8124x); f=0.5: S_f 0.71876 (control 0.71875, uniform 0.50000); ops/hash 337465 vs model 599552 (0.5629x); f=0.75: S_f 0.86689 (control 0.86598, uniform 0.75000); ops/hash 159994 vs model 300032 (0.5333x)
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[2026-10-07T19:03:35Z] diag devnet3-epoch0 worst site 0 (instr 3) iteration 0: 16777216 nonces; item hist chi2/dof 0.9996 z_max +9.00 top0.1% 0.56795% top1% 4.43115%; source hi16: max bucket share 0.00198% (uniform 0.00153%) entropy 15.997 of 16 bits; saturated source 0.000000%
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[2026-10-07T19:03:35Z] diag devnet3-epoch0 worst site 0 (instr 3) iteration 1: 16777216 nonces; item hist chi2/dof 1.1099 z_max +10.00 top0.1% 0.64368% top1% 4.87568%; source hi16: max bucket share 0.00199% (uniform 0.00153%) entropy 15.997 of 16 bits; saturated source 0.000000%
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[2026-10-07T19:03:35Z] diag devnet3-epoch0 worst site 0 (instr 3) iteration 2: 16777216 nonces; item hist chi2/dof 1.1101 z_max +11.00 top0.1% 0.64380% top1% 4.88057%; source hi16: max bucket share 0.00193% (uniform 0.00153%) entropy 15.997 of 16 bits; saturated source 0.000000%
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[2026-10-07T19:03:36Z] diag devnet3-epoch0 worst site 0 (instr 3) iteration 3: 16777216 nonces; item hist chi2/dof 1.1105 z_max +11.00 top0.1% 0.64291% top1% 4.87746%; source hi16: max bucket share 0.00195% (uniform 0.00153%) entropy 15.997 of 16 bits; saturated source 0.000000%
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[2026-10-07T19:03:36Z] diag devnet3-epoch0 worst site 0 (instr 3) iteration 4: 16777216 nonces; item hist chi2/dof 1.1101 z_max +11.00 top0.1% 0.64393% top1% 4.87995%; source hi16: max bucket share 0.00194% (uniform 0.00153%) entropy 15.997 of 16 bits; saturated source 0.000000%
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[2026-10-07T19:03:36Z] diag devnet3-epoch0 worst site 0 (instr 3) iteration 5: 16777216 nonces; item hist chi2/dof 1.1104 z_max +11.00 top0.1% 0.64338% top1% 4.88034%; source hi16: max bucket share 0.00196% (uniform 0.00153%) entropy 15.997 of 16 bits; saturated source 0.000000%
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[2026-10-07T19:03:36Z] diag devnet3-epoch0 worst site 0 (instr 3) iteration 6: 16777216 nonces; item hist chi2/dof 1.1101 z_max +11.00 top0.1% 0.64306% top1% 4.87482%; source hi16: max bucket share 0.00193% (uniform 0.00153%) entropy 15.997 of 16 bits; saturated source 0.000000%
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[2026-10-07T19:03:36Z] diag devnet3-epoch0 worst site 0 (instr 3) iteration 7: 16777216 nonces; item hist chi2/dof 1.1104 z_max +10.00 top0.1% 0.64384% top1% 4.87994%; source hi16: max bucket share 0.00194% (uniform 0.00153%) entropy 15.997 of 16 bits; saturated source 0.000000%
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[2026-10-07T19:03:36Z] hottest item devnet3-epoch0 (0xf678ce): 961 reads (0.00001% of all; uniform mean 512.000)
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[2026-10-07T19:03:37Z] program devnet3-epoch0 DONE: 67108864 nonces; 6-sigma (windowed) FLAGGED; hot-set items clear; hot-set lines clear; verdict FLAGGED
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[2026-10-07T19:03:37Z] SEED devnet3-epoch0 id fce15bf61030be57 attempt 0 S0.1 0.17409% window 0.17286% flat 0.11521% ratio 1.0071x; S1 1.69081% window 1.68270% ratio 1.0048x; top quarter 0.39063 (model 0.39062) top half 0.71876 (model 0.71875); lines S0.1 0.17222% E 0.17222% S1 1.55837% E 1.55833%; worst site 0 ratio 1.4492x; hot 0
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[2026-10-07T19:03:37Z] CENSUS FLAGGED: 1 programs at 67108864 nonces; hot set in 0; top 0.1% beyond 1.2x of the window-model control in 0; windowed buckets64 beyond 6 sigma in 1; top-quarter share min 0.3906 median 0.3906 mean 0.3906 max 0.3906 (uniform 0.25)
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@ -0,0 +1,4 @@
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[2026-10-07T18:49:47Z] adv-cache-2 0.1.0 (igneum-pow generator v4); args ["windows", "--programs", "era-fixed:1..4096", "--threads", "80", "--out", "/srv/builds/_adv-adv-cache-2"]
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[2026-10-07T18:49:47Z] windows: 4096 programs threads 80 plant none
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[2026-10-07T19:18:15Z] windows: 4096 programs in 1708.2 s; win draws 0/1/2: 22047 21856 21633 (uniform third each); top-quarter share min 0.2500 p10 0.2812 median 0.3281 p90 0.4062 max 0.6250 mean 0.3377 (uniform 0.25); top-half share min 0.5000 median 0.5625 p90 0.6562 max 0.8750 mean 0.5806 (uniform 0.5)
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[2026-10-07T19:18:15Z] windows DONE: result is the distribution above (by design above uniform); priced in Q4
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@ -24,7 +24,7 @@ Internal adversarial pass, not an independent review. Every sentence in this fil
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| Q2b | Hot set over drawn programs | 16 epochs under the devnet era + 16 drawn eras, 2^24 nonces each | the same plant | the same gates per program; the census line PASS/FAIL | queued (items 23, 24 on box 2) | RUNNING |
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| Q3(1) | Steering by the item index t | `adv-cache-2 steer`, 2^20 random t x 32 bit flips, rounds 0, 1, 7, days 20730 and 20733 | `--plant t-low` (round-0 address = t AND mask): identity rows at P = 1.0, dead rows for bits 22..31, 40,960 equal pairs at +231,704 sigma. Fired | every cell within 6 sigma of 0.5; equal pairs within 6 sigma of 8 | Day 20730: worst cell 3.44 sigma; equal pairs 13 / 4 / 6 of 2^25 against 8.00 (+1.77 / -1.41 / -0.71 sigma). Day 20733: worst 3.95 sigma; pairs 8 / 11 / 7. 2 x 2,112 cells, none beyond 4 sigma | PASS (BOUND at 2^20 items x 32 flips per day) |
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| Q3(2) | Steering by the day key: the weak-day scan | `adv-cache-2 days`, 16,384 consecutive chain days x 2^16 items (2^30 derivations), per day the segment and depth histograms and a same-size control | `--plant quarter-lines --plant-day`: fired on one day in a small run before the row counts (queued) | no day with segment chi2_z over 6 or a depth bucket beyond 6 sigma; the per-day max against the control's | queued (item 15 on box 1) | RUNNING |
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| Q3(3) | Steering by the parameters: the window layer's concentration | `adv-cache-2 windows`, 4,096 programs under the devnet era and 4,096 under drawn eras, the expected share per quarter from the 16 sites' window draws; measured on the real programs in Q2 | `--plant all-quarter` (every site forced to one quarter): top-quarter share 1.0000 on 8 programs. Fired | none: the distribution is the result (by design above uniform) | Real programs: devnet top quarter 0.42187 of reads (model 0.42188), top aligned half 0.53125; Devnet 3 top quarter 0.39063 (model 0.39062), top half 0.71875. 8 drawn programs: top quarter mean 0.3555, max 0.4531; top half mean 0.6328, max 0.7812. 4,096 + 4,096 running | FINDING (designed, counted; priced in 4.1) |
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| Q3(3) | Steering by the parameters: the window layer's concentration | `adv-cache-2 windows`, 4,096 programs under the devnet era and 4,096 under drawn eras, the expected share per quarter from the 16 sites' window draws; measured on the real programs in Q2 | `--plant all-quarter` (every site forced to one quarter): top-quarter share 1.0000 on 8 programs. Fired | none: the distribution is the result (by design above uniform) | Real programs: devnet top quarter 0.42187 of reads (model 0.42188), top aligned half 0.53125; Devnet 3 top quarter 0.39063 (model 0.39062), top half 0.71875. Exact distribution from the draw: top quarter mean 0.3382, median 0.3281, p99 0.4688; top half mean 0.5811, p99 0.75. 4,096 drawn programs: mean 0.3377 / 0.5806, max 0.6250 / 0.8750 (section 3.3) | FINDING (designed, counted; priced in 4.1) |
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| Q4 | The price: ops per item and the SRAM column at the measured hit rates | arithmetic in section 4 from Q1, Q2, Q3(3); the v2 binary prints the stride and hottest-lines costs (nearest held line walk) and the hottest-items store per program | hand points: stride f = 1/2 is 0.5 evaluations per read; f = 1/64 is 31.5; the model's f = 0.25 row is 899,072 ops per hash | a BREAK is a store whose measured hit rate puts ops per hash under the model's row for that f by over 10 percent | the only measured excess over f is the window layer's (an aligned half serves 53 to 78 percent of reads: the model's f = 0.5 row overstates the recompute share by up to 1.8x) and the line reference multiplicity (a hottest-lines half store hits 57.8 percent instead of 50, at a higher miss cost than the stride) | FINDING against the model's table, not the hash; v2 rows RUNNING |
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| GPU | any GPU measurement | none in this lane | | | no GPU on either box | BLOCKED |
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@ -137,7 +137,8 @@ The one designed non-uniformity. Each load site's window is the dataset, an alig
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| Shared devnet epoch 0 (measured over 2^33 reads) | 0.42187 | 0.53125 |
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| Devnet 3 epoch 0 (measured over 2^31 reads) | 0.39063 | 0.71875 |
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||||
| Exact distribution from the draw (win uniform on {0, 1, 2}, off uniform; 16 sites; enumerated over the 74,613 compositions, scratch `python3`, reproduced in section 3.3 below) | 0.2500 / 0.3281 / 0.3382 / 1.0000 (p90 0.4062, p99 0.4688; P(over 0.45) 2.8 percent) | 0.5625 / 0.5811 / 1.0000 (p90 0.6562, p99 0.7500; P(at least 0.75) 2.0 percent) |
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||||
| 4,096 under the devnet era and 4,096 under drawn eras (the check of the closed form) | RUNNING (items 13, 17) | |
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||||
| 4,096 drawn programs under the devnet era (item 13, 1,708 s wall on 80 threads; `win` draws 0/1/2: 22,047 / 21,856 / 21,633 of 65,536) | 0.2500 / 0.3281 / 0.3377 / 0.6250 (p10 0.2812, p90 0.4062): the closed form to three digits | 0.5625 / 0.5806 / 0.8750 (p90 0.6562) |
|
||||
| 4,096 under drawn eras (item 17) | queued behind the weak-day scan and the 2^32 census | |
|
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The plant `all-quarter` (every site forced to one quarter) printed 1.0000 on every program: fired.
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@ -208,12 +209,12 @@ The first load of a hash (site 0 in iteration 0) depends only on the nonce, the
|
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| Q3(1) steer, two days | 1 | 8 s | 80 | 0.002 |
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| Q2 devnet3 2^24 | 2 | 70 s | 80 | 0.016 |
|
||||
| Q2 devnet 2^26 | 2 | 353 s | 80 | 0.08 |
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| Q3(3) windows 4,096 (devnet era) | 1 | RUNNING since 18:49 UTC | 80 | |
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| Q3(3) windows 4,096 (devnet era) | 1 | 1,708 s | 80 | 0.40 (box at load 500 to 600 throughout, so the CPU share was under this) |
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| Q2 devnet3 2^26 (v2) | 2 | 474 s | 80 | 0.11 |
|
||||
| Q2b era-fixed 32 programs at 2^23 (v2) | 2 | RUNNING since 19:03 UTC | 80 | |
|
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| Pod-hours | none (no GPU, no rented pod) | | | 0 |
|
||||
|
||||
Running total at 19:1x UTC: about 0.2 box-hours plus the two running items. The 8-hour reading is not near.
|
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Running total at 19:2x UTC: about 0.7 box-hours plus the running items (box 2: the 32-program census, about 3 min per program under the lock). The 8-hour reading is not near.
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## 6. The bound reached, honestly
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Loading…
Reference in a new issue