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Rollout, plus related positions

Posted By: Timothy Chow
Date: Saturday, 23 January 2010, at 3:47 p.m.

In Response To: Money-play endgame decision (Timothy Chow)

Those who get a thrill out of being "right" may be disappointed by the rollout, which says that the two plays are TCTC. As compensation I am posting four rollouts, with the dice being 2-1, 3-1, 4-1, and 5-1 respectively. GNU clearly prefers to lift with 2-1 and to run with 5-1. With 3-1 and 4-1 the decisions are TCTC for all practical purposes. Note also that, if you believe the absolute equity numbers, GNU considers 3-1 to be the worst roll of the lot.

gnubg21


2X4X2X1O1X ' ' ' ' ' ' '

3O2O3O2O3O1O ' ' ' ' ' '

tchow66

Position ID: exMAANxuFwAQAA Match ID: UYkIAEAAMAAA

# Ply Move Equity
1 R 21/20* 6/4 -0.266
0.3080.0000.000-0.6920.0040.000 -0.389 -0.266
0.0000.0000.000-0.0000.0000.000 0.001 0.001
Full cubeful rollout with var.redn.
5184 games, Mersenne Twister dice gen. with seed 847126940 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 21/20*/18 -0.312 ( -0.046)
0.3260.0000.000-0.6740.0970.002 -0.446 -0.312
0.0000.0000.000-0.0000.0000.000 0.001 0.001
Full cubeful rollout with var.redn.
5184 games, Mersenne Twister dice gen. with seed 847126940 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]

gnubg21


2X4X2X1O1X ' ' ' ' ' ' '

3O2O3O2O3O1O ' ' ' ' ' '

tchow66

Position ID: exMAANxuFwAQAA Match ID: UYkMAEAAMAAA

# Ply Move Equity
1 R 21/20*/17 -0.283
0.3340.0000.000-0.6660.0870.001 -0.421 -0.283
0.0000.0000.000-0.0000.0000.000 0.001 0.001
Full cubeful rollout with var.redn.
5184 games, Mersenne Twister dice gen. with seed 846613283 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 21/20* 6/3 -0.284 ( -0.001)
0.3010.0000.000-0.6990.0040.000 -0.402 -0.284
0.0000.0000.000-0.0000.0000.000 0.000 0.001
Full cubeful rollout with var.redn.
5184 games, Mersenne Twister dice gen. with seed 846613283 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]

gnubg21


2X4X2X1O1X ' ' ' ' ' ' '

3O2O3O2O3O1O ' ' ' ' ' '

tchow66

Position ID: exMAANxuFwAQAA Match ID: UYkQAEAAMAAA

# Ply Move Equity
1 R 21/20* 6/2 -0.259
0.3110.0000.000-0.6890.0040.000 -0.381 -0.259
0.0000.0000.000-0.0000.0000.000 0.000 0.001
Full cubeful rollout with var.redn.
5184 games, Mersenne Twister dice gen. with seed 846470228 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 21/20*/16 -0.263 ( -0.004)
0.3400.0000.000-0.6600.0840.001 -0.405 -0.263
0.0000.0000.000-0.0000.0000.000 0.001 0.001
Full cubeful rollout with var.redn.
5184 games, Mersenne Twister dice gen. with seed 846470228 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]

gnubg21


2X4X2X1O1X ' ' ' ' ' ' '

3O2O3O2O3O1O ' ' ' ' ' '

tchow66

Position ID: exMAANxuFwAQAA Match ID: UYkUAEAAMAAA

# Ply Move Equity
1 R 21/20*/15 -0.219
0.3560.0000.000-0.6440.0790.001 -0.368 -0.219
0.0000.0000.000-0.0000.0000.000 0.001 0.001
Full cubeful rollout with var.redn.
5184 games, Mersenne Twister dice gen. with seed 846824948 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 21/20* 6/1 -0.282 ( -0.063)
0.3030.0000.000-0.6970.0040.000 -0.398 -0.282
0.0000.0000.000-0.0000.0000.000 0.000 0.001
Full cubeful rollout with var.redn.
5184 games, Mersenne Twister dice gen. with seed 846824948 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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