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Rollout: real backgammon 41 to play

Posted By: Timothy Chow
Date: Wednesday, 5 May 2010, at 12:13 a.m.

In Response To: real backgammon 41 to play (christian munk-christensen)

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)

gnubg126


 '1X1X1X '4X2X2X ' '2O2O

1X ' '2O2O4O '3O ' ' '3X

tchow120

Position ID: Km+DAyDYnoMNAA Match ID: QQmmABAAAAAA

# Ply Move Equity
1 R 6/1* +0.571
0.7010.2480.006-0.2990.0840.006 +0.664 +0.571
0.0020.0030.001-0.0020.0020.001 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)
0.7250.1940.007-0.2750.0730.005 +0.645 +0.562
0.0020.0030.001-0.0020.0020.001 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)
0.7200.1770.005-0.2800.0760.005 +0.610 +0.523
0.0020.0030.000-0.0020.0030.001 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)

gnubg126


 '1X1X1X '5X '3X ' '2O2O

1X ' '2O2O4O '3O ' ' '3X

tchow120

Position ID: Kp+DAyDYnoMNAA Match ID: QQmmABAAAAAA

# Ply Move Equity
1 R 14/10 8/7 +0.639
0.7570.1830.006-0.2430.0640.006 +0.712 +0.639
0.0020.0030.001-0.0020.0020.001 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)
0.7130.2490.004-0.2870.0790.005 +0.701 +0.614
0.0020.0030.001-0.0020.0020.001 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)
0.7350.2050.006-0.2650.0800.004 +0.682 +0.600
0.0020.0030.001-0.0020.0030.001 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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