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Rollout: When is it right to hit loose with 6/1*?
Posted By: Timothy Chow In Response To: When is it right to hit loose with 6/1*? (Timothy Chow)
Date: Thursday, 15 April 2010, at 1:18 a.m.
OTB, I played 9/3 here. Significantly ahead in the race, Blue would like to play safe even if it's somewhat awkward. For example if Blue's spare were on the 8-point instead of the 9-point then 9/8 9/4 would be the right way to play a 5-1 despite the seemingly awkward stacks that result. But Blue cannot play safely and so must choose the lesser of two evils. Playing 9/3 looks prettier but leaves more immediate shots and the blot isn't guaranteed to be covered next time. By contrast, 9/8 6/1* forces White's blot forward and is likely to make future safe plays easier if Blue is not hit back immediately. The rollout puts 9/8 6/1* on top. See the first diagram below.
The game continued with my opponent rolling 6-3 hitting, and then I had to come in from the bar with 3-1. See the second diagram below. Here I made another error by playing bar/24 6/3*. The simple bar/21 is better. The race is now even, and it's not good to risk getting another checker sent back when a sound alternative is available. Also, White's blot is less troublesome on the 3-point than on the ace point.
Chase's rule of thumb for playing against anchor-and-guard (use the first awkward roll to hit) is interesting. It works well in the third position diagrammed below, which is a variant of a position from Robertie's book, and which stumped several Giants when I posted it here last year.
gnubg 165
tchow 143 Position ID: sDPLgCGYZ4cBBg Match ID: cIkUAIAAAAAA
# Ply Move Equity • 1 R 9/8 6/1* -0.208
0.446 0.105 0.003 - 0.554 0.111 0.005 -0.115 -0.208 0.001 0.001 0.000 - 0.001 0.001 0.000 0.003 0.007 Full cubeful rollout with var.redn. 2592 games, Mersenne Twister dice gen. with seed 848449780 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 9/3 -0.245 ( -0.037)
0.437 0.096 0.003 - 0.563 0.110 0.004 -0.140 -0.245 0.001 0.001 0.001 - 0.001 0.001 0.000 0.003 0.007 Full cubeful rollout with var.redn. 2592 games, Mersenne Twister dice gen. with seed 848449780 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]
gnubg 157
tchow 159 Position ID: cGfGgAmYZ8MAQw Match ID: cIkMAIAAAAAA
# Ply Move Equity • 1 R bar/21 -0.223
0.441 0.097 0.004 - 0.559 0.107 0.004 -0.130 -0.223 0.001 0.001 0.000 - 0.001 0.001 0.000 0.003 0.006 Full cubeful rollout with var.redn. 2592 games, Mersenne Twister dice gen. with seed 848327114 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 bar/24 6/3* -0.265 ( -0.042)
0.436 0.099 0.004 - 0.564 0.138 0.007 -0.169 -0.265 0.001 0.001 0.000 - 0.001 0.001 0.001 0.003 0.008 Full cubeful rollout with var.redn. 2592 games, Mersenne Twister dice gen. with seed 848327114 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 of Robertie's position 46 of 501
gnubg 172
tchow 163 Position ID: 4HPwACPgc+QBJA Match ID: cIkKAAAAAAAA
# Ply Move Equity • 1 R 13/11 6/1* +0.047
0.513 0.127 0.005 - 0.487 0.128 0.006 +0.024 +0.047 0.001 0.001 0.000 - 0.001 0.001 0.000 0.003 0.006 Full cubeful rollout with var.redn. 5184 games, Mersenne Twister dice gen. with seed 870705514 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 13/11 13/8 +0.020 ( -0.026)
0.511 0.124 0.005 - 0.489 0.132 0.005 +0.012 +0.020 0.001 0.001 0.000 - 0.001 0.001 0.000 0.002 0.006 Full cubeful rollout with var.redn. 5184 games, Mersenne Twister dice gen. with seed 870705514 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 13/8 +0.004 ( -0.043)
0.502 0.120 0.005 - 0.498 0.119 0.004 +0.005 +0.004 0.001 0.001 0.000 - 0.001 0.001 0.001 0.002 0.006 Full cubeful rollout with var.redn. 5184 games, Mersenne Twister dice gen. with seed 870705514 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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