igneum/docs/analysis/cryptanalysis/logs/adv-mixer/integral-a8-4d.log
igneum-labs 77a97e3252 adv-mixer: queue 15 rows (lineindex K5-8, linrel K3-7, integral K8, box-2 fold-sweep replication), logs
Internal adversarial pass, not an independent review.

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
2026-10-07 19:00:54 +00:00

69 lines
6.1 KiB
Text

self-check: spec 1.8.1 and 1.8.4 genesis vectors OK; 72 application keys are 1..72 times 0x9E3779B9
integral day=20729 apps=8 placements_per_d=2000 threads=44
d = cube dimension; 'nonzero' = placements whose cube-sum is nonzero on >=1 output bit (degree >= d reached)
d= 1 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 255.6/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 255.7/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 255.6/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 256.4/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 255.7/512 [degree >= d reached]
READING: the smallest d at which nonzero is ~1.0 is the degree floor; high degree at small d means no low-degree algebraic shortcut across the applications
integral day=20730 apps=8 placements_per_d=2000 threads=44
d = cube dimension; 'nonzero' = placements whose cube-sum is nonzero on >=1 output bit (degree >= d reached)
d= 1 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 255.7/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 255.7/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 256.4/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 256.4/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 255.7/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
READING: the smallest d at which nonzero is ~1.0 is the degree floor; high degree at small d means no low-degree algebraic shortcut across the applications
integral day=20731 apps=8 placements_per_d=2000 threads=44
d = cube dimension; 'nonzero' = placements whose cube-sum is nonzero on >=1 output bit (degree >= d reached)
d= 1 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
READING: the smallest d at which nonzero is ~1.0 is the degree floor; high degree at small d means no low-degree algebraic shortcut across the applications
integral day=20732 apps=8 placements_per_d=2000 threads=44
d = cube dimension; 'nonzero' = placements whose cube-sum is nonzero on >=1 output bit (degree >= d reached)
d= 1 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 255.7/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 255.7/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 255.7/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
READING: the smallest d at which nonzero is ~1.0 is the degree floor; high degree at small d means no low-degree algebraic shortcut across the applications