I haven't rolled out the cube decisions yet; it's possible that I missed a double here though I think it's close. I am more interested in the checker play because it seems quite baffling. Below are the rollouts ATS, for money, and at GS and GG. To summarize, the standout play for money/GS/DMP is 24/18*/13. (I didn't roll out DMP but since the cubeless wins are so much higher for 24/18*/13 than for any other play in all four rollouts I'm pretty sure it's the DMP play; plus intuitively one expects the escaping play to be best at DMP.) At GG, the plays 24/18* 6/1* and 10/4 6/1* and 13/8 10/4 are all reasonable choices, but 24/18*/13 is clearly worse.
OTB, I thought that at a 4-away score I should be looking for a gammonish blitzing play, despite being ahead in the match. I played 10/4 6/1*. As mentioned above, this would be a fine play at GG, but it's apparently a blunder at 4-away/5-away as well as for money. O.K., fine; perhaps that just means that 4-away/5-away is a "normal" score and I should have played the "normal" move 24/18*/13? While the rollout suggests that that would have been all right, it also likes 13/8 10/4 ATS but not at any of the other scores, except GG. So I really don't know what to make of these rollout results. Perhaps I should repeat the money and 4-away/5-away rollouts with the cube turned.
At 4-away/5-away:
# | Ply | Move | Equity |
• | 1 | R | 13/8 10/4 | +0.675 |
| 0.633 | 0.200 | 0.008 | - | 0.367 | 0.078 | 0.004 | +0.445 | +0.675 | 0.001 | 0.002 | 0.001 | - | 0.001 | 0.001 | 0.000 | 0.003 | 0.008 | | |
| 2 | R | 24/18*/13 | +0.670 ( -0.005) |
| 0.660 | 0.160 | 0.008 | - | 0.340 | 0.072 | 0.003 | +0.447 | +0.670 | 0.001 | 0.001 | 0.001 | - | 0.001 | 0.001 | 0.000 | 0.003 | 0.007 | | |
| 3 | R | 24/18* 13/8 | +0.651 ( -0.023) |
| 0.639 | 0.198 | 0.018 | - | 0.361 | 0.093 | 0.005 | +0.431 | +0.651 | 0.001 | 0.002 | 0.001 | - | 0.001 | 0.001 | 0.000 | 0.004 | 0.010 | | |
| Full cubeful rollout with var.redn. | |
| 2592 games, Mersenne Twister dice gen. with seed 855142532 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 | 24/18* 6/1* | +0.590 ( -0.085) |
| 0.613 | 0.228 | 0.016 | - | 0.387 | 0.108 | 0.006 | +0.400 | +0.590 | 0.002 | 0.002 | 0.001 | - | 0.002 | 0.002 | 0.001 | 0.005 | 0.013 | | |
| 5 | R | 24/18* 10/5 | +0.565 ( -0.110) |
| 0.620 | 0.194 | 0.017 | - | 0.380 | 0.097 | 0.004 | +0.383 | +0.565 | 0.001 | 0.002 | 0.002 | - | 0.001 | 0.001 | 0.000 | 0.004 | 0.011 | | |
| 6 | R | 10/4 6/1* | +0.551 ( -0.125) |
| 0.603 | 0.236 | 0.013 | - | 0.397 | 0.090 | 0.005 | +0.416 | +0.551 | 0.001 | 0.002 | 0.001 | - | 0.001 | 0.001 | 0.001 | 0.004 | 0.010 | | |
| Full cubeful rollout with var.redn. | |
| 1296 games, Mersenne Twister dice gen. with seed 854074762 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] | |
For money with Jacoby (probably should have done this without Jacoby, but hopefully it doesn't make all that much difference):
# | Ply | Move | Equity |
• | 1 | R | 24/18*/13 | +0.310 |
| 0.672 | 0.153 | 0.007 | - | 0.328 | 0.066 | 0.003 | +0.435 | +0.310 | 0.002 | 0.002 | 0.001 | - | 0.002 | 0.001 | 0.000 | 0.004 | 0.006 | | |
| 2 | R | 24/18* 13/8 | +0.261 ( -0.049) |
| 0.643 | 0.194 | 0.010 | - | 0.357 | 0.089 | 0.004 | +0.397 | +0.261 | 0.002 | 0.002 | 0.001 | - | 0.002 | 0.001 | 0.000 | 0.004 | 0.009 | | |
| 3 | R | 13/8 10/4 | +0.248 ( -0.062) |
| 0.638 | 0.185 | 0.005 | - | 0.362 | 0.073 | 0.003 | +0.391 | +0.248 | 0.002 | 0.002 | 0.001 | - | 0.002 | 0.001 | 0.000 | 0.004 | 0.006 | | |
| 4 | R | 24/18* 6/1* | +0.208 ( -0.102) |
| 0.617 | 0.222 | 0.010 | - | 0.383 | 0.100 | 0.006 | +0.362 | +0.208 | 0.002 | 0.002 | 0.001 | - | 0.002 | 0.002 | 0.001 | 0.006 | 0.009 | | |
| 5 | R | 24/18* 10/5 | +0.207 ( -0.103) |
| 0.629 | 0.183 | 0.010 | - | 0.371 | 0.090 | 0.004 | +0.357 | +0.207 | 0.002 | 0.002 | 0.001 | - | 0.002 | 0.001 | 0.000 | 0.004 | 0.007 | | |
| 6 | R | 10/4 6/1* | +0.202 ( -0.108) |
| 0.611 | 0.225 | 0.007 | - | 0.389 | 0.086 | 0.003 | +0.365 | +0.202 | 0.002 | 0.002 | 0.001 | - | 0.002 | 0.001 | 0.000 | 0.004 | 0.006 | | |
| Full cubeful rollout with var.redn. | |
| 1296 games, Mersenne Twister dice gen. with seed 854441897 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] | |
At gammon save:
# | Ply | Move | Equity |
• | 1 | R | 24/18*/13 | +0.186 |
| 0.662 | 0.284 | 0.026 | - | 0.338 | 0.069 | 0.004 | +0.186 | +0.186 | 0.002 | 0.007 | 0.003 | - | 0.002 | 0.001 | 0.001 | 0.005 | 0.005 | | |
| 2 | R | 13/8 10/4 | +0.123 ( -0.064) |
| 0.638 | 0.264 | 0.020 | - | 0.362 | 0.077 | 0.004 | +0.123 | +0.123 | 0.002 | 0.007 | 0.002 | - | 0.002 | 0.001 | 0.001 | 0.004 | 0.004 | | |
| 3 | R | 24/18* 13/8 | +0.078 ( -0.108) |
| 0.628 | 0.298 | 0.049 | - | 0.372 | 0.088 | 0.007 | +0.078 | +0.078 | 0.002 | 0.007 | 0.004 | - | 0.002 | 0.002 | 0.001 | 0.006 | 0.006 | | |
| 4 | R | 24/18* 10/5 | +0.038 ( -0.148) |
| 0.618 | 0.309 | 0.046 | - | 0.382 | 0.099 | 0.006 | +0.038 | +0.038 | 0.002 | 0.007 | 0.003 | - | 0.002 | 0.002 | 0.001 | 0.006 | 0.006 | | |
| 5 | R | 10/4 6/1* | +0.029 ( -0.158) |
| 0.605 | 0.299 | 0.025 | - | 0.395 | 0.091 | 0.005 | +0.029 | +0.029 | 0.002 | 0.006 | 0.003 | - | 0.002 | 0.002 | 0.001 | 0.005 | 0.005 | | |
| 6 | R | 24/18* 6/1* | +0.009 ( -0.177) |
| 0.606 | 0.307 | 0.027 | - | 0.394 | 0.102 | 0.009 | +0.009 | +0.009 | 0.003 | 0.007 | 0.002 | - | 0.003 | 0.002 | 0.001 | 0.007 | 0.007 | | |
| Full cubeful rollout with var.redn. | |
| 1296 games, Mersenne Twister dice gen. with seed 853810937 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] | |
At gammon go:
# | Ply | Move | Equity |
• | 1 | R | 24/18* 6/1* | +0.681 |
| 0.626 | 0.214 | 0.018 | - | 0.374 | 0.145 | 0.016 | +0.681 | +0.681 | 0.002 | 0.002 | 0.002 | - | 0.002 | 0.005 | 0.002 | 0.006 | 0.006 | | |
| 2 | R | 10/4 6/1* | +0.680 ( -0.000) |
| 0.602 | 0.238 | 0.014 | - | 0.398 | 0.131 | 0.013 | +0.680 | +0.680 | 0.002 | 0.002 | 0.002 | - | 0.002 | 0.005 | 0.002 | 0.006 | 0.006 | | |
| 3 | R | 13/8 10/4 | +0.670 ( -0.011) |
| 0.618 | 0.217 | 0.006 | - | 0.382 | 0.123 | 0.010 | +0.670 | +0.670 | 0.002 | 0.002 | 0.001 | - | 0.002 | 0.005 | 0.002 | 0.005 | 0.005 | | |
| 4 | R | 24/18* 13/8 | +0.655 ( -0.025) |
| 0.649 | 0.179 | 0.020 | - | 0.351 | 0.128 | 0.012 | +0.655 | +0.655 | 0.002 | 0.002 | 0.002 | - | 0.002 | 0.004 | 0.002 | 0.006 | 0.006 | | |
| 5 | R | 24/18*/13 | +0.647 ( -0.033) |
| 0.669 | 0.155 | 0.011 | - | 0.331 | 0.114 | 0.007 | +0.647 | +0.647 | 0.002 | 0.002 | 0.001 | - | 0.002 | 0.005 | 0.001 | 0.005 | 0.005 | | |
| 6 | R | 24/18* 10/5 | +0.638 ( -0.043) |
| 0.636 | 0.183 | 0.020 | - | 0.364 | 0.133 | 0.013 | +0.638 | +0.638 | 0.002 | 0.002 | 0.002 | - | 0.002 | 0.005 | 0.002 | 0.006 | 0.006 | | |
| Full cubeful rollout with var.redn. | |
| 1296 games, Mersenne Twister dice gen. with seed 854557226 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] | |