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BGonline.org Forums
Rollout: Run the back checker?
Posted By: Timothy Chow In Response To: Run the back checker? (Timothy Chow)
Date: Sunday, 18 July 2010, at 12:17 a.m.
I (correctly) decided that running into the outfield was the wrong idea here, despite being ahead in the race and having a slightly better board. White's position is rather inflexible here and there's a good chance that White will have to leave an indirect shot. Running into the outfield just gives White a chance to hit loose and consolidate.
I played 13/5, trying to build my board. The rollout indicates that this is second best, but the difference in equity appears to be quite substantial. The trouble is that after 13/7, there is no way to play the 2 up front in a clearly constructive way. Thus 24/22 13/7 seems to be best. Stepping up does not really give White any more good rolls and it provides slightly better coverage of the outfield.
For comparison, I have also included a 4-ply analysis of a variant position where Blue's blot on the 1 point is moved to the 4 point. Then 13/7 6/4 seems to be best by a small margin. Note that once Blue has a strong four-point board then challenging White with 24/18 becomes a viable option.
gnubg 132
tchow 125 Position ID: OB/MIwCNncEDIA Match ID: cAkLAEAAKAAA
# Ply Move Equity • 1 R 24/22 13/7 +0.116
0.543 0.094 0.002 - 0.457 0.064 0.002 +0.114 +0.116 0.001 0.002 0.000 - 0.001 0.001 0.000 0.003 0.006 Full cubeful rollout with var.redn. 1296 games, Mersenne Twister dice gen. with seed 890540859 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 13/5 +0.031 ( -0.085)
0.515 0.112 0.002 - 0.485 0.071 0.002 +0.071 +0.031 0.001 0.002 0.000 - 0.001 0.001 0.000 0.003 0.006 Full cubeful rollout with var.redn. 1296 games, Mersenne Twister dice gen. with seed 890540859 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 24/22 8/2 +0.021 ( -0.095)
0.512 0.112 0.002 - 0.488 0.089 0.003 +0.048 +0.021 0.001 0.002 0.000 - 0.001 0.001 0.000 0.003 0.006 Full cubeful rollout with var.redn. 1296 games, Mersenne Twister dice gen. with seed 890540859 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] 4 R 13/7 8/6 -0.008 ( -0.124)
0.506 0.115 0.002 - 0.494 0.078 0.003 +0.047 -0.008 0.001 0.002 0.000 - 0.001 0.001 0.000 0.003 0.006 Full cubeful rollout with var.redn. 1296 games, Mersenne Twister dice gen. with seed 890540859 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] 5 R 13/7 6/4 -0.021 ( -0.136)
0.504 0.113 0.002 - 0.496 0.076 0.003 +0.045 -0.021 0.001 0.002 0.000 - 0.001 0.001 0.000 0.003 0.006 Full cubeful rollout with var.redn. 1296 games, Mersenne Twister dice gen. with seed 890540859 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] 6 R 24/16 -0.050 ( -0.165)
0.494 0.078 0.002 - 0.506 0.076 0.003 -0.011 -0.050 0.001 0.001 0.000 - 0.001 0.001 0.000 0.002 0.005 Full cubeful rollout with var.redn. 1296 games, Mersenne Twister dice gen. with seed 890540859 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:
gnubg 132
tchow 128 Position ID: OB/MIwCmncEDIA Match ID: cAkZAEAAKAAA
# Ply Move Equity 1 4 13/7 6/4 +0.209 0.558 0.098 0.001 - 0.442 0.043 0.001 2 4 24/18 6/4 +0.201 ( -0.009) 0.559 0.079 0.002 - 0.441 0.042 0.001 3 4 24/22 13/7 +0.196 ( -0.014) 0.559 0.087 0.001 - 0.441 0.051 0.001 4 4 13/5 +0.154 ( -0.055) 0.540 0.112 0.002 - 0.460 0.058 0.002
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