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>
This commit is contained in:
igneum-labs 2026-10-07 18:56:05 +00:00
parent 30b24efbe5
commit 76682349d0
4 changed files with 1253 additions and 2 deletions

View file

@ -0,0 +1,609 @@
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

View file

@ -0,0 +1,609 @@
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=2 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 255.5/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [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 255.7/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 255.6/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [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 256.2/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 256.5/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [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 255.7/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 255.6/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [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=20730 apps=2 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 255.7/512 [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 256.0/512 [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 256.5/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [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 256.5/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [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 256.4/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 256.6/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [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=20731 apps=2 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 255.9/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 256.5/512 [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 256.3/512 [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 256.3/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 255.5/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [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 256.1/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [degree >= d reached]
d=16 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=2 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 255.9/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 256.5/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 256.4/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [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 256.4/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [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 255.5/512 [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 255.7/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 255.5/512 [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=20733 apps=2 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 255.7/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 256.4/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 256.7/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 255.6/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 255.6/512 [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 255.6/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 255.6/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 256.4/512 [degree >= d reached]
d=16 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=20734 apps=2 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 255.9/512 [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 255.8/512 [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 256.2/512 [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 255.8/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 255.7/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [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 255.8/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 255.7/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [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=2 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 256.2/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 255.5/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 256.7/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 256.4/512 [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]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [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=20736 apps=2 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 256.7/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 256.5/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [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 256.2/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [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 255.9/512 [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 256.3/512 [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 256.5/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 255.5/512 [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=20737 apps=2 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 255.5/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 256.6/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 256.5/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [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 255.8/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [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 255.9/512 [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 256.0/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 255.7/512 [degree >= d reached]
d=16 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=20738 apps=2 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 255.9/512 [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 256.2/512 [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 255.8/512 [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 256.1/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [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 256.2/512 [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 255.7/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 256.4/512 [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=2 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 256.2/512 [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 255.5/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [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 256.3/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 256.5/512 [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 255.7/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 255.6/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [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=20740 apps=2 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 256.2/512 [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 255.9/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [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 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 256.0/512 [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 256.5/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 256.4/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 255.6/512 [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=2 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 256.4/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 256.5/512 [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 255.7/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [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 256.2/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 255.7/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [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 256.3/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [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=20742 apps=2 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 255.9/512 [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 256.4/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [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 256.5/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 255.5/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 256.5/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 255.7/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 256.4/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d=16 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=20743 apps=2 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 255.9/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [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 255.8/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [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 256.4/512 [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 256.1/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d=16 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=20744 apps=2 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 256.6/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [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 256.6/512 [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 256.3/512 [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 256.2/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [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 255.9/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [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=20745 apps=2 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 256.1/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [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 255.8/512 [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 256.0/512 [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 255.6/512 [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 256.6/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [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=20746 apps=2 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 255.7/512 [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 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 256.0/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 255.7/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [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 256.3/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 255.6/512 [degree >= d reached]
d=16 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=20747 apps=2 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 256.2/512 [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 256.2/512 [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 255.5/512 [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 256.0/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 255.5/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [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 255.9/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d=16 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=20748 apps=2 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 256.0/512 [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 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 256.2/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 255.7/512 [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 256.1/512 [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 256.0/512 [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 256.0/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 256.4/512 [degree >= d reached]
d=16 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=20749 apps=2 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 255.9/512 [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 255.7/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 255.6/512 [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 255.6/512 [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 256.4/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 256.4/512 [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 256.3/512 [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 256.1/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [degree >= d reached]
d=16 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=20750 apps=2 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 256.1/512 [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 256.2/512 [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 256.1/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [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 256.0/512 [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 255.8/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 255.6/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [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=20751 apps=2 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 256.4/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [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 255.7/512 [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 256.1/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 256.4/512 [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 256.2/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 256.5/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 255.6/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 256.5/512 [degree >= d reached]
d=16 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=20752 apps=2 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 256.0/512 [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 255.5/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 255.6/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 256.5/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d=11 nonzero 2000/2000 = 1.0000 mean out-bits set 256.5/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [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 255.7/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 255.7/512 [degree >= d reached]
d=16 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=20753 apps=2 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 255.9/512 [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 256.2/512 [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 255.9/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 255.7/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 256.4/512 [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 256.1/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 255.6/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [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=2 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 255.9/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [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 255.8/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [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 256.1/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 255.3/512 [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 256.0/512 [degree >= d reached]
d=12 nonzero 2000/2000 = 1.0000 mean out-bits set 255.6/512 [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 256.5/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [degree >= d reached]
d=16 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=20755 apps=2 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 256.2/512 [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 256.1/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [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 256.1/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [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 255.8/512 [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 256.1/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 256.5/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [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=20756 apps=2 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 256.2/512 [degree >= d reached]
d= 2 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [degree >= d reached]
d= 3 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [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 256.3/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [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 255.6/512 [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 255.9/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d=16 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=20757 apps=2 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 255.9/512 [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 256.5/512 [degree >= d reached]
d= 5 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [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 256.0/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 255.5/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [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=20758 apps=2 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 255.9/512 [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 256.0/512 [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 255.8/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [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 256.3/512 [degree >= d reached]
d=10 nonzero 2000/2000 = 1.0000 mean out-bits set 255.7/512 [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 255.9/512 [degree >= d reached]
d=13 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 256.1/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 255.4/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [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=20759 apps=2 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 256.1/512 [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 256.1/512 [degree >= d reached]
d= 4 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [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 255.8/512 [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 255.9/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 256.5/512 [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 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 256.1/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 256.2/512 [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=20760 apps=2 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 256.1/512 [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 256.1/512 [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 255.7/512 [degree >= d reached]
d= 6 nonzero 2000/2000 = 1.0000 mean out-bits set 256.3/512 [degree >= d reached]
d= 7 nonzero 2000/2000 = 1.0000 mean out-bits set 256.4/512 [degree >= d reached]
d= 8 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [degree >= d reached]
d= 9 nonzero 2000/2000 = 1.0000 mean out-bits set 255.9/512 [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 256.0/512 [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 255.7/512 [degree >= d reached]
d=14 nonzero 2000/2000 = 1.0000 mean out-bits set 256.0/512 [degree >= d reached]
d=15 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [degree >= d reached]
d=16 nonzero 2000/2000 = 1.0000 mean out-bits set 255.8/512 [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

View file

@ -0,0 +1,6 @@
start igneum-build-2 2026-10-07T18:50:34Z bbfab24075923083f0c9c8c4372a6dd22257c245bac75ba6fadbd60ab64ec803 /srv/builds/_adv-adv-mixer/bin/attack-adv-mixer
== integral-a1-32d 2026-10-07T18:50:34Z
rc=0
== integral-a2-32d 2026-10-07T18:52:24Z
rc=0
end 2026-10-07T18:54:55Z

View file

@ -199,7 +199,16 @@ one of 1024 consecutive chain days (about 2.8 years of calendar). No fold, no co
### Integral degree test over 32 days (integral), queue 12, box 2
Command: `attack-adv-mixer integral --day 20729 --apps K --dmax 16 --placements 2000 --days 32` for K = 1, 2.
RUNNING; the row lands here.
32 consecutive chain days (20729 to 20760), cube dimensions d = 1..16, 2000 placements each: 512 (day, d) rows
per K. Wall about 4 min on box 2 at load about 500.
| Applications K | Rows with every cube-sum nonzero | Output bits set per cube-sum (min to max over days) | Reading |
|---|---|---|---|
| 1 | 511 of 512 (the one exception: day 20730, d = 4, 1999 of 2000 placements) | 156 to 245 of 512 | degree >= 16 on every day; the single zero cube-sum in 1,024,000 placements is a chance zero, not a relation (a relation would zero every placement) |
| 2 | 512 of 512 | 255.5 to 256.7 of 512 | saturated at the random-map value of 256 on every day |
Verdict: the degree floor of the first report (>= 16 after one application, saturated after two) holds on
32 consecutive days. No day has a low-degree algebraic form of the applications.
### SAT model of two keyed applications (cnf), queue 14 then a solve on box 2
@ -212,6 +221,15 @@ and that binary is running on this instance under a one-hour cap at nice 10 (log
RUNNING; the row lands here. A timeout is the honest expected outcome: the instance is a preimage-shaped search
on a 2^512 space, and a plain timeout is a bound on solver reach, not evidence either way.
## Sibling queue files run by this lane
Per main's rule (claim the next unclaimed sibling file in name order once the own queue is empty), this lane
claimed and ran the following. The results belong to the owning lane and are not interpreted here.
| File | Owner | Claimed | Run on | Result |
|---|---|---|---|---|
| 07-adv-mixer-3-days.sh | adv-mixer-3 | 20:54 BST | box 1, nice 10, cores 8-95 | RUNNING; the owner's logs land in /srv/builds/_adv-mixer-3/logs; the wrapper log is queue-07-adv-mixer-3-days.sh.log under this lane's logs |
## Confirmation across the stale and frozen trees
The branch was first cut from stale master 3f0afcd5. Its igneum-pow differed from the frozen object in six
@ -235,7 +253,16 @@ No GPU pods used: pod-hours 0. All CPU, nice 10, both boxes.
| Q2 diffusion sweep K=1..8, 2e6 states | box 2 | 11 min |
| Q1 fold + integral + spot-checks | box 1 | 1 min 44 s |
Total about 0.4 box-hours of the 8-hour first-results budget (ask line 16). Pod-hours 0.
| Q1 deepening queue 11 fold-sweep 1024 days | box 1 | 84 s |
| Q1 deepening queue 12 integral 32 days | box 2 | 4 min 21 s |
| Q1 deepening queue 13 lineindex + addr linrel | box 1 | 77 s |
| Q1 deepening queue 14 linrel + cnf | box 2 | 10 s |
| cadical on the commutation CNF | box 2 | one thread, capped at 1 h |
| Sibling 07-adv-mixer-3-days.sh (owner adv-mixer-3) | box 1 | running |
Total about 0.6 box-hours of the 8-hour first-results budget (ask line 16), plus up to 1 core-hour of cadical.
Pod-hours 0. Both boxes ran at load 240 to 555 on 96 cores during the deepening (sibling sweeps, not builds), so
wall times above are under heavy sharing.
## Rule-change timeline (so the box-hours stay honest)