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Rollout: Later on in the same game...
Posted By: Timothy Chow In Response To: Later on in the same game... (Max Urban)
Date: Friday, 28 May 2010, at 3:23 a.m.
I've somewhat belatedly gotten around to looking at this position that Max Urban posted. I wanted to play 10/8(2) while Chase and Daniel Murphy preferred 9/7*(2). To avoid "noise" from the score I've switched to a money-game setting. The GNU rollout sides with Chase and Daniel; however, in the variant position below, 10/8(2) wins the rollout. Theories, anyone?
Original position, but now for money:
gnubg 83
tchow 156 Position ID: bJsEyAw3OdsAAA Match ID: AYEEAAAAAAAA
# Ply Move Equity • 1 R 9/7*(2) +0.169
0.464 0.211 0.004 - 0.536 0.139 0.006 -0.002 +0.169 0.002 0.001 0.000 - 0.002 0.002 0.000 0.005 0.007 Full cubeful rollout with var.redn. 1296 games, Mersenne Twister dice gen. with seed 853394920 and quasi-random dice Play: supremo 2-ply cubeful prune [world class] keep the first 0 0-ply moves and up to 16 more moves within equity 0.32 Skip pruning for 1-ply moves. Cube: 2-ply cubeful prune [world class] 2 R 10/8(2) +0.076 ( -0.093)
0.451 0.143 0.003 - 0.549 0.115 0.004 -0.071 +0.076 0.001 0.001 0.000 - 0.001 0.002 0.001 0.004 0.006 Full cubeful rollout with var.redn. 1296 games, Mersenne Twister dice gen. with seed 853394920 and quasi-random dice Play: supremo 2-ply cubeful prune [world class] keep the first 0 0-ply moves and up to 16 more moves within equity 0.32 Skip pruning for 1-ply moves. Cube: 2-ply cubeful prune [world class] 3 R 9/7*/6 9/8 +0.041 ( -0.128)
0.430 0.200 0.004 - 0.570 0.149 0.007 -0.093 +0.041 0.001 0.001 0.000 - 0.001 0.002 0.001 0.004 0.006 Full cubeful rollout with var.redn. 1296 games, Mersenne Twister dice gen. with seed 853394920 and quasi-random dice Play: supremo 2-ply cubeful prune [world class] keep the first 0 0-ply moves and up to 16 more moves within equity 0.32 Skip pruning for 1-ply moves. Cube: 2-ply cubeful prune [world class]
Variant position, again for money:
gnubg 88
tchow 160 Position ID: bJsEiBknO9sAAA Match ID: AYEEAAAAAAAA
# Ply Move Equity • 1 R 10/8(2) +0.347
0.525 0.178 0.006 - 0.475 0.085 0.003 +0.146 +0.347 0.002 0.001 0.000 - 0.002 0.002 0.000 0.004 0.007 Full cubeful rollout with var.redn. 1296 games, Mersenne Twister dice gen. with seed 853139335 and quasi-random dice Play: supremo 2-ply cubeful prune [world class] keep the first 0 0-ply moves and up to 16 more moves within equity 0.32 Skip pruning for 1-ply moves. Cube: 2-ply cubeful prune [world class] 2 R 10/8 10/9 6/5 +0.314 ( -0.034)
0.518 0.180 0.005 - 0.482 0.095 0.004 +0.122 +0.314 0.002 0.002 0.000 - 0.002 0.002 0.000 0.005 0.007 Full cubeful rollout with var.redn. 1296 games, Mersenne Twister dice gen. with seed 853139335 and quasi-random dice Play: supremo 2-ply cubeful prune [world class] keep the first 0 0-ply moves and up to 16 more moves within equity 0.32 Skip pruning for 1-ply moves. Cube: 2-ply cubeful prune [world class] 3 R 9/7*(2) +0.275 ( -0.072)
0.492 0.219 0.008 - 0.508 0.111 0.004 +0.096 +0.275 0.002 0.001 0.000 - 0.002 0.002 0.001 0.005 0.008 Full cubeful rollout with var.redn. 1296 games, Mersenne Twister dice gen. with seed 853139335 and quasi-random dice Play: supremo 2-ply cubeful prune [world class] keep the first 0 0-ply moves and up to 16 more moves within equity 0.32 Skip pruning for 1-ply moves. Cube: 2-ply cubeful prune [world class]
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