igneum-network/igneum
1
0
Fork 0
Code Issues Pull requests Releases Activity
igneum/docs/analysis/cryptanalysis/logs/adv-mixer/integral-a1-32d.log
igneum-labs 76682349d0 adv-mixer: integral 32-day row, sibling 07 claim note, box-hours update 
Internal adversarial pass, not an independent review.

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
2026-10-07 18:56:05 +00:00

609 lines
54 KiB
Text
Raw Blame History

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=1 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 236.0/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 184.8/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 175.0/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 172.9/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 172.0/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 173.3/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 175.1/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 174.6/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 175.7/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 177.6/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 182.1/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 184.2/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 187.2/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 191.5/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 196.1/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 203.3/512 [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=1 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 229.8/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 177.0/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 165.9/512 [degree >= d reached]
d= 4 nonzero 1999/2000 = 0.9995 mean out-bits set 158.8/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 157.5/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 161.0/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 162.2/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 164.2/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 169.2/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 174.1/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 183.0/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 188.1/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 192.3/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 198.6/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 205.7/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 213.0/512 [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=20731 apps=1 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 242.2/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 194.0/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 184.9/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 185.0/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 186.4/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 188.1/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 190.1/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 191.4/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 195.0/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 199.2/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 202.4/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 206.7/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 210.7/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 216.2/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 219.5/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 223.8/512 [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=1 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 233.5/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 182.8/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 170.5/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 164.6/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 160.9/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 159.5/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 159.3/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 161.5/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 165.1/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 168.1/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 173.1/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 176.8/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 181.2/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 185.1/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 187.1/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 190.2/512 [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=20733 apps=1 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 234.2/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 188.8/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 175.5/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 173.1/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 171.5/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 171.5/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 175.0/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 173.4/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 176.7/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 178.9/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 181.2/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 185.7/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 187.8/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 190.6/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 192.4/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 194.9/512 [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=20734 apps=1 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 232.8/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 186.6/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 177.3/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 173.0/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 170.4/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 171.0/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 174.0/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 177.0/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 178.8/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 181.6/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 188.1/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 193.1/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 200.6/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 208.8/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 213.6/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 220.9/512 [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=20735 apps=1 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 230.6/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 182.1/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 168.7/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 163.5/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 161.0/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 161.6/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 164.2/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 163.1/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 167.6/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 168.8/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 176.4/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 182.4/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 188.2/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 191.6/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 199.1/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 205.2/512 [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=20736 apps=1 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 238.6/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 190.3/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 178.8/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 178.7/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 178.3/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 181.2/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 181.2/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 185.1/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 190.6/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 194.8/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 198.4/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 204.0/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 209.6/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 214.7/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 220.5/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 225.9/512 [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=20737 apps=1 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 237.4/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 190.9/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 180.5/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 178.2/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 177.1/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 177.5/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 180.7/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 183.1/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 186.9/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 190.6/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 193.0/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 195.9/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 199.4/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 202.7/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 204.6/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 206.1/512 [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=20738 apps=1 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 240.9/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 198.5/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 189.9/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 191.0/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 194.3/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 195.5/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 199.4/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 202.7/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 204.9/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 208.8/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 210.7/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 216.6/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 219.9/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 223.9/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 228.7/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 232.4/512 [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=20739 apps=1 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 240.0/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 194.6/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 189.0/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 189.4/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 191.3/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 193.9/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 196.4/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 202.1/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 204.1/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 206.4/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 209.8/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 212.6/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 216.0/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 218.9/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 218.8/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 221.1/512 [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=20740 apps=1 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 241.9/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 196.6/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 186.9/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 186.9/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 189.6/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 192.9/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 196.5/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 199.1/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 202.4/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 208.1/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 210.7/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 214.9/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 218.8/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 223.5/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 227.4/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 231.6/512 [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=20741 apps=1 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 231.6/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 177.5/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 163.4/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 157.2/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 153.5/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 152.6/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 152.0/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 155.9/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 159.1/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 164.0/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 169.0/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 173.6/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 178.8/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 183.2/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 187.3/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 191.8/512 [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=20742 apps=1 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 244.5/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 204.5/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 197.1/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 201.4/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 204.6/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 206.6/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 211.5/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 214.7/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 216.8/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 219.7/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 222.1/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 224.0/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 225.1/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 226.0/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 226.7/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 228.1/512 [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=20743 apps=1 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 238.8/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 191.6/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 183.7/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 183.3/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 184.0/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 183.9/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 186.7/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 188.7/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 190.7/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 193.2/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 196.6/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 201.4/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 206.7/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 211.4/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 214.6/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 219.4/512 [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=20744 apps=1 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 233.3/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 188.4/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 175.6/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 172.8/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 173.7/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 173.7/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 177.9/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 180.8/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 184.2/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 189.6/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 191.8/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 196.3/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 200.2/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 203.7/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 206.2/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 207.4/512 [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=20745 apps=1 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 240.6/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 197.1/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 189.3/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 188.5/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 188.9/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 193.8/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 194.7/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 199.3/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 201.8/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 206.0/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 209.8/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 213.5/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 218.6/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 221.3/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 224.3/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 228.3/512 [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=20746 apps=1 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 236.4/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 190.1/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 180.2/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 177.2/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 179.0/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 174.9/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 178.1/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 182.5/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 183.4/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 185.7/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 189.9/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 194.4/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 196.9/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 199.9/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 201.8/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 204.4/512 [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=20747 apps=1 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 234.9/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 190.8/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 181.3/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 177.9/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 178.9/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 180.3/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 177.7/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 180.0/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 183.7/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 186.3/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 189.3/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 190.5/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 195.0/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 198.4/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 203.1/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 206.1/512 [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=20748 apps=1 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 242.2/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 199.0/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 190.9/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 188.0/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 189.2/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 189.6/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 190.4/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 192.9/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 193.7/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 196.7/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 198.6/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 202.2/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 205.4/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 210.5/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 215.2/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 218.9/512 [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=20749 apps=1 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 240.5/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 196.6/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 187.3/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 187.1/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 188.7/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 188.3/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 191.5/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 193.3/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 197.8/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 200.1/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 204.8/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 207.3/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 212.4/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 215.8/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 219.6/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 223.5/512 [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=20750 apps=1 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 236.7/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 186.8/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 179.7/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 177.9/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 178.7/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 182.6/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 185.7/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 191.8/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 194.9/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 198.7/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 202.1/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 208.2/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 212.6/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 216.9/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 221.8/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 225.3/512 [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=20751 apps=1 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 242.5/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 196.4/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 187.0/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 186.5/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 187.6/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 189.0/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 190.6/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 194.0/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 196.8/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 200.0/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 203.9/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 207.5/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 210.7/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 215.6/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 219.1/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 223.0/512 [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=20752 apps=1 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 234.1/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 182.8/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 172.2/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 168.5/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 166.3/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 166.7/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 167.7/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 167.8/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 169.3/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 170.7/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 172.9/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 175.0/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 177.4/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 179.3/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 183.7/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 188.9/512 [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=20753 apps=1 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 240.7/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 198.2/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 190.9/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 190.0/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 190.4/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 192.4/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 193.5/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 195.7/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 196.2/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 198.5/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 199.1/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 201.3/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 200.4/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 204.1/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 203.8/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 205.9/512 [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=20754 apps=1 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 238.7/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 190.9/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 181.6/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 178.5/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 180.2/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 177.9/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 178.5/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 179.4/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 183.4/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 186.4/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 192.0/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 196.3/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 202.2/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 208.0/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 211.0/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 217.1/512 [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=20755 apps=1 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 239.9/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 196.0/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 187.4/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 185.7/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 186.5/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 184.7/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 185.6/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 186.3/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 189.4/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 190.4/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 191.9/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 195.9/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 198.3/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 202.0/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 205.2/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 208.4/512 [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=20756 apps=1 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 230.8/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 181.2/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 166.6/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 163.0/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 162.1/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 164.6/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 169.2/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 172.5/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 177.4/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 182.2/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 187.7/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 193.8/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 200.8/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 205.7/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 210.6/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 215.4/512 [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=20757 apps=1 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 241.2/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 197.6/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 192.8/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 193.5/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 193.0/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 199.4/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 203.0/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 207.5/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 210.9/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 215.2/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 219.8/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 223.2/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 226.3/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 229.0/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 231.9/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 232.5/512 [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=20758 apps=1 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 235.0/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 189.4/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 174.4/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 172.2/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 169.6/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 170.8/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 169.6/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 174.8/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 177.7/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 181.6/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 184.5/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 188.2/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 193.9/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 197.2/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 204.0/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 208.4/512 [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=20759 apps=1 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 240.8/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 200.3/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 190.6/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 189.9/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 192.9/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 193.2/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 197.9/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 197.8/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 200.8/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 202.6/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 207.1/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 208.8/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 215.1/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 219.3/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 223.1/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 227.9/512 [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=20760 apps=1 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 234.7/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 184.1/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 176.2/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 177.9/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 177.8/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 178.8/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 182.2/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 184.4/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 188.3/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 190.4/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 191.2/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 195.6/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 199.4/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 201.2/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 205.8/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 211.2/512 [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
Reference in a new issue View git blame Copy permalink