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Rollout: real backgammon 41 to play
Posted By: Timothy Chow In Response To: real backgammon 41 to play (christian munk-christensen)
Date: Wednesday, 5 May 2010, at 12:13 a.m.
As I recall, Christian usually doesn't post rollouts so I took the liberty of doing so myself. 6/1* narrowly edges out 14/10 8/7 but it's not quite statsig so maybe someone can do a longer XG rollout. I have also rolled out a variant position where 14/10 8/7 comes out ahead of 6/1*. I'm not sure why the modification I made makes a difference.
I've rolled out only three plays in each case but nothing else looked close.
Original position:The score (after 0 games) is: gnubg 1, tchow 0 (match to 5 points)
gnubg 126
tchow 120 Position ID: Km+DAyDYnoMNAA Match ID: QQmmABAAAAAA
# Ply Move Equity • 1 R 6/1* +0.571
0.701 0.248 0.006 - 0.299 0.084 0.006 +0.664 +0.571 0.002 0.003 0.001 - 0.002 0.002 0.001 0.005 0.006 Full cubeful rollout with var.redn. 1296 games, Mersenne Twister dice gen. with seed 854985055 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 14/10 8/7 +0.562 ( -0.009)
0.725 0.194 0.007 - 0.275 0.073 0.005 +0.645 +0.562 0.002 0.003 0.001 - 0.002 0.002 0.001 0.005 0.006 Full cubeful rollout with var.redn. 1296 games, Mersenne Twister dice gen. with seed 854985055 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 13/9 8/7 +0.523 ( -0.048)
0.720 0.177 0.005 - 0.280 0.076 0.005 +0.610 +0.523 0.002 0.003 0.000 - 0.002 0.003 0.001 0.005 0.006 Full cubeful rollout with var.redn. 1296 games, Mersenne Twister dice gen. with seed 854985055 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:
The score (after 0 games) is: gnubg 1, tchow 0 (match to 5 points)
gnubg 126
tchow 120 Position ID: Kp+DAyDYnoMNAA Match ID: QQmmABAAAAAA
# Ply Move Equity • 1 R 14/10 8/7 +0.639
0.757 0.183 0.006 - 0.243 0.064 0.006 +0.712 +0.639 0.002 0.003 0.001 - 0.002 0.002 0.001 0.005 0.005 Full cubeful rollout with var.redn. 1296 games, Mersenne Twister dice gen. with seed 855104761 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 6/1* +0.614 ( -0.025)
0.713 0.249 0.004 - 0.287 0.079 0.005 +0.701 +0.614 0.002 0.003 0.001 - 0.002 0.002 0.001 0.005 0.006 Full cubeful rollout with var.redn. 1296 games, Mersenne Twister dice gen. with seed 855104761 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 13/9 8/7 +0.600 ( -0.039)
0.735 0.205 0.006 - 0.265 0.080 0.004 +0.682 +0.600 0.002 0.003 0.001 - 0.002 0.003 0.001 0.005 0.006 Full cubeful rollout with var.redn. 1296 games, Mersenne Twister dice gen. with seed 855104761 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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