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Rollout: Ace-point anchor and blot vs. 4-prime: How bad is it?

Posted By: Timothy Chow
Date: Sunday, 13 June 2010, at 5:00 a.m.

In Response To: Ace-point anchor and blot vs. 4-prime: How bad is it? (Timothy Chow)

I thought this was an easy take, and the rollout indicates that it is a take but much closer than I thought. Move Blue's inner point deeper, to the 2 point, and it becomes a clear drop (see below). I would have taken in either position. I think I was misled by remembering positions that were similar but where Blue had only one checker behind the prime, and reasonable chances of escaping with a winning race.


gnubg145


2O ' ' '2X3X2X2X ' '1X4O

1X '2O '1O4O '2O ' ' '4X

tchow151

Position ID: TM/gATCw28gDIA Match ID: MAEAAMAAMAAA

Cube decision
Rollout cubeless equity +0.562
Cubeful equities:
1.Double, take +0.934
2.Double, pass +1.000 +0.066
3.No double +0.848 -0.086
Proper cube action:Double, take
Rollout details
WinW gW bg LoseL gL bgCubelessCubeful
Centered 1-cube0.7210.1740.011-0.2790.0650.001 +0.562 +0.848
Standard error0.0010.0020.001-0.0010.0010.000 0.003 0.009
Player tchow owns 2-cube0.7240.1780.012-0.2760.0620.002 +1.148 +0.934
Standard error0.0020.0030.001-0.0020.0010.000 0.010 0.014
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 893316779 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]


gnubg145


2O ' ' '2X3X2X2X ' '1X4O

1X2O ' '1O4O '2O ' ' '4X

tchow149

Position ID: Rs/gATCw28gDIA Match ID: MAEAAMAAMAAA

Cube decision
Rollout cubeless equity +0.603
Cubeful equities:
1.Double, pass +1.000
2.Double, take +1.050 +0.050
3.No double +0.895 -0.105
Proper cube action:Double, pass
Rollout details
WinW gW bg LoseL gL bgCubelessCubeful
Centered 1-cube0.7360.1820.010-0.2640.0610.001 +0.603 +0.895
Standard error0.0010.0020.001-0.0010.0010.000 0.003 0.011
Player tchow owns 2-cube0.7410.1810.011-0.2590.0560.002 +1.233 +1.050
Standard error0.0020.0020.001-0.0020.0010.000 0.009 0.015
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 891429787 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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