adv-accept report: adv-cache-2's rotation correction and warp-uniform sub-class recorded
Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
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@ -279,7 +279,18 @@ This lane's check, from the era line each live run prints (logs in logs/adv-acce
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| clean low-ratio seeds (6) | R = 3, 24, 1, 4, 9, 28 |
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| random clean (17) | R = 27, 14, 1, 13, 30, 5, 21, 29, 1, 18, 20, 27, 9, 25, 4, 11, 17 |
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Reading: five of the eight hot sets carry R of 28 to 30, where the product-law bits sit above the mask, so
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adv-cache-2's correction (23:2x BST): rotl by R sends product bit b to address bit (b + R) mod 32, so the
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28-bit mask cuts product bits 28 - R to 31 - R; R of 28, 29 and 30 cut the biased bits 0 to 2 (R = 31 keeps
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bit 1 at address bit 0), and R in 1..27 keeps them inside the index, so 28 of 31 rotations let the law
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through; the devnet era's R = 29 is a lucky one (its 32 programs read clean against 8 of 20 drawn-era
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programs with a site over 1.04x). They also name a second sub-class: a warp-uniform source (a high product
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of two small words is 0 in every lane and the shuffles keep the lanes equal) at about one warp in 16,000,
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which reads as one item taken 512 times by 16 whole warps (their era-fixed-20 and era-drawn-20, site 11,
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1.22x to 1.26x); the rule's lane-constant test (c) runs 64 units and cannot see a 1-in-16,000 event. Their
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new seed: era-drawn-17 (epoch "igneum-adv-cache-2/epoch/17", era ".../era/17", R = 11, attempt 1, id
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5d2d50b934b23e2d), site 0 at 1.21x. Chip gain of both sub-classes: nil (0.05 percent of a hash's reads).
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Reading: five of the eight hot sets carry R of 28 to 30, where the product-law bits are cut by the mask, so
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the hot-set class is not adv-cache-2's mechanism. It is the near-saturated-source class: a source that
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reaches zero or all-ones maps to ONE item whatever M and R (zero gives index 0: item 0x000000 is the hottest
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in 100767, 4346, 5245 and 170; all-ones gives the fixed image of -M), and that is why these programs
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