Robertie Position 456

With the cube in the center, it does not matter much what Black plays, because he should just cash next turn. With the cube turned, however, GNU believes that 15/7 is the best play, followed by 15/11(2), which Robertie rejects. If White owns the cube then Robertie’s play 15/13(2) 3/1*(2) ranks 8th or 9th, and if Black owns the cube then it ranks 4th or 5th.

Here is the rollout with White owning the cube:

# Ply Move Equity
• 1 R 15/7 +1.130
 
0.9580.2300.003-0.0420.0020.000 +1.146 +1.130
0.0010.0020.000-0.0010.0000.001 0.003 0.004
  
  Full cubeful rollout with var.redn.  
  1296 games, Mersenne Twister dice gen. with seed 843046336 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 15/11(2) +1.103 ( -0.027)
 
0.9620.1960.001-0.0380.0010.000 +1.120 +1.103
0.0010.0020.000-0.0010.0000.000 0.003 0.003
  
  Full cubeful rollout with var.redn.  
  1296 games, Mersenne Twister dice gen. with seed 843046336 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 15/9 15/13 +1.094 ( -0.037)
 
0.9600.1880.003-0.0400.0020.000 +1.110 +1.094
0.0010.0030.000-0.0010.0000.000 0.003 0.003
  
  Full cubeful rollout with var.redn.  
  1296 games, Mersenne Twister dice gen. with seed 843046336 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 15/9 6/4 +1.082 ( -0.049)
 
0.9530.1930.003-0.0470.0040.000 +1.098 +1.082
0.0010.0030.000-0.0010.0000.000 0.003 0.004
  
  Full cubeful rollout with var.redn.  
  1296 games, Mersenne Twister dice gen. with seed 843046336 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 15/11 15/13 6/4 +1.081 ( -0.049)
 
0.9580.1810.003-0.0420.0020.000 +1.097 +1.081
0.0010.0020.000-0.0010.0000.000 0.003 0.004
  
  Full cubeful rollout with var.redn.  
  1296 games, Mersenne Twister dice gen. with seed 843046336 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 15/11 6/2 +1.067 ( -0.063)
 
0.9470.1920.004-0.0530.0040.000 +1.087 +1.067
0.0010.0030.000-0.0010.0000.000 0.003 0.004
  
  Full cubeful rollout with var.redn.  
  1296 games, Mersenne Twister dice gen. with seed 843046336 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]  
  7 R 15/13(2) 6/2 +1.054 ( -0.076)
 
0.9540.1620.001-0.0460.0010.000 +1.070 +1.054
0.0010.0020.000-0.0010.0000.000 0.003 0.003
  
  Full cubeful rollout with var.redn.  
  1296 games, Mersenne Twister dice gen. with seed 843046336 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]  
  8 R 15/11 3/1*(2) +1.028 ( -0.102)
 
0.8930.2950.001-0.1070.0120.000 +1.069 +1.028
0.0010.0030.000-0.0010.0010.000 0.003 0.004
  
  Full cubeful rollout with var.redn.  
  1296 games, Mersenne Twister dice gen. with seed 843046336 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]  
  9 R 15/13(2) 3/1*(2) +1.026 ( -0.104)
 
0.8930.2920.001-0.1070.0090.000 +1.070 +1.026
0.0010.0030.000-0.0010.0010.000 0.003 0.003
  
  Full cubeful rollout with var.redn.  
  1296 games, Mersenne Twister dice gen. with seed 843046336 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]  


And here is the rollout with Black owning the cube:

# Ply Move Equity
• 1 R 15/7 +1.179
 
0.9460.2320.004-0.0540.0020.000 +1.125 +1.179
0.0010.0020.000-0.0010.0000.000 0.003 0.003
  
  Full cubeful rollout with var.redn.  
  1296 games, Mersenne Twister dice gen. with seed 842416421 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 15/11(2) +1.154 ( -0.025)
 
0.9530.2060.001-0.0470.0020.000 +1.112 +1.154
0.0010.0030.000-0.0010.0000.000 0.003 0.003
  
  Full cubeful rollout with var.redn.  
  1296 games, Mersenne Twister dice gen. with seed 842416421 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 15/9 15/13 +1.147 ( -0.033)
 
0.9490.1970.003-0.0510.0020.000 +1.094 +1.147
0.0010.0030.000-0.0010.0010.000 0.003 0.003
  
  Full cubeful rollout with var.redn.  
  1296 games, Mersenne Twister dice gen. with seed 842416421 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 15/9 6/4 +1.142 ( -0.038)
 
0.9410.1980.004-0.0590.0040.000 +1.081 +1.142
0.0020.0030.000-0.0020.0010.000 0.003 0.003
  
  Full cubeful rollout with var.redn.  
  1296 games, Mersenne Twister dice gen. with seed 842416421 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 15/13(2) 3/1*(2) +1.141 ( -0.038)
 
0.8840.2880.001-0.1160.0110.000 +1.046 +1.141
0.0010.0030.000-0.0010.0000.000 0.003 0.003
  
  Full cubeful rollout with var.redn.  
  1296 games, Mersenne Twister dice gen. with seed 842416421 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 15/11 15/13 6/4 +1.140 ( -0.039)
 
0.9480.1890.003-0.0520.0020.000 +1.085 +1.140
0.0010.0030.000-0.0010.0010.000 0.003 0.003
  
  Full cubeful rollout with var.redn.  
  1296 games, Mersenne Twister dice gen. with seed 842416421 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]  
  7 R 15/11 3/1*(2) +1.131 ( -0.049)
 
0.8850.2830.001-0.1150.0140.000 +1.040 +1.131
0.0010.0030.000-0.0010.0000.000 0.003 0.003
  
  Full cubeful rollout with var.redn.  
  1296 games, Mersenne Twister dice gen. with seed 842416421 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]  
  8 R 7/5(2) 3/1*(2) +1.129 ( -0.051)
 
0.8590.2830.001-0.1410.0140.000 +0.987 +1.129
0.0010.0030.000-0.0010.0000.000 0.003 0.003
  
  Full cubeful rollout with var.redn.  
  1296 games, Mersenne Twister dice gen. with seed 842416421 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]  
  9 R 15/13(2) 6/2 +1.126 ( -0.053)
 
0.9440.1770.002-0.0560.0020.000 +1.065 +1.126
0.0010.0020.000-0.0010.0000.000 0.003 0.002
  
  Full cubeful rollout with var.redn.  
  1296 games, Mersenne Twister dice gen. with seed 842416421 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]