GNU recommends hitting. This position is a variant of a position that actually came up in a game that I was watching. In the actual game, it was White's 5-point that was open, and I thought the hit was clear. Blue considered the hit but eventually chickened out. Looking at it with GNU afterwards, I asked myself how deeply one could move White's open point and still have hitting be right. Before the computer analysis, I was on the fence with an open 3-point and would not have hit with an open 2-point.
With an open 1-point, hitting is too dangerous, as most people would correctly assume. I have also included a rollout of this case below, for reference.
| # | Ply | Move | Equity |
| • | 1 | R | 8/1* | +1.172 |
| | | 0.843 | 0.574 | 0.011 | - | 0.157 | 0.040 | 0.001 | +1.229 | +1.172 | | 0.001 | 0.002 | 0.001 | - | 0.001 | 0.001 | 0.000 | 0.003 | 0.005 | | |
| | Full cubeful rollout with var.redn. | |
| | 1296 games, Mersenne Twister dice gen. with seed 839830609 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 | 15/9 6/5 | +1.151 ( -0.021) |
| | | 0.891 | 0.416 | 0.008 | - | 0.109 | 0.009 | 0.000 | +1.196 | +1.151 | | 0.001 | 0.002 | 0.000 | - | 0.001 | 0.001 | 0.000 | 0.003 | 0.004 | | |
| | Full cubeful rollout with var.redn. | |
| | 1296 games, Mersenne Twister dice gen. with seed 839830609 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 | 15/8 | +1.147 ( -0.025) |
| | | 0.886 | 0.425 | 0.009 | - | 0.114 | 0.010 | 0.000 | +1.194 | +1.147 | | 0.001 | 0.002 | 0.001 | - | 0.001 | 0.001 | 0.000 | 0.003 | 0.004 | | |
| | Full cubeful rollout with var.redn. | |
| | 1296 games, Mersenne Twister dice gen. with seed 839830609 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] | |
| # | Ply | Move | Equity |
| • | 1 | R | 15/8 | +1.100 |
| | | 0.892 | 0.354 | 0.007 | - | 0.108 | 0.001 | 0.000 | +1.145 | +1.100 | | 0.001 | 0.002 | 0.000 | - | 0.001 | 0.000 | 0.000 | 0.003 | 0.004 | | |
| | Full cubeful rollout with var.redn. | |
| | 1296 games, Mersenne Twister dice gen. with seed 839415928 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 | 15/9 6/5 | +1.100 ( -0.000) |
| | | 0.893 | 0.354 | 0.007 | - | 0.107 | 0.001 | 0.000 | +1.145 | +1.100 | | 0.001 | 0.002 | 0.000 | - | 0.001 | 0.000 | 0.000 | 0.003 | 0.004 | | |
| | Full cubeful rollout with var.redn. | |
| | 1296 games, Mersenne Twister dice gen. with seed 839415928 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 8/7 | +1.036 ( -0.065) |
| | | 0.854 | 0.390 | 0.007 | - | 0.146 | 0.009 | 0.000 | +1.096 | +1.036 | | 0.001 | 0.002 | 0.000 | - | 0.001 | 0.001 | 0.000 | 0.003 | 0.004 | | |
| | Full cubeful rollout with var.redn. | |
| | 1296 games, Mersenne Twister dice gen. with seed 839415928 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 | 8/1* | +1.028 ( -0.073) |
| | | 0.802 | 0.538 | 0.008 | - | 0.198 | 0.045 | 0.002 | +1.102 | +1.028 | | 0.001 | 0.002 | 0.001 | - | 0.001 | 0.001 | 0.000 | 0.004 | 0.006 | | |
| | Full cubeful rollout with var.redn. | |
| | 1296 games, Mersenne Twister dice gen. with seed 839415928 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] | |