In lieu of "analysis" I offer the following variants.
Original position:
| | White is Player 2
score: 0 pip: 87 | Unlimited Game | pip: 114 score: 0
Blue is Player 1 | |
XGID=--BBBBB-A---bB---c-bBea-b-:1:1:1:22:0:0:0:0:10 |
Blue to play 22 |
1. | Rollout1 | 20/14 8/6 | eq: -0.200 |
| Player: Opponent: | 36.08% (G:4.88% B:0.12%) 63.92% (G:3.68% B:0.03%) | Conf.: ± 0.004 (-0.205...-0.196) - [100.0%] Duration: 7 minutes 02 seconds |
|
2. | Rollout1 | 13/7 8/6 | eq: -0.239 (-0.039) |
| Player: Opponent: | 34.54% (G:3.93% B:0.11%) 65.46% (G:3.03% B:0.04%) | Conf.: ± 0.005 (-0.244...-0.235) - [0.0%] Duration: 6 minutes 22 seconds |
|
3. | Rollout1 | 8/4 3/1(2) | eq: -0.242 (-0.042) |
| Player: Opponent: | 33.78% (G:2.82% B:0.06%) 66.22% (G:2.89% B:0.03%) | Conf.: ± 0.006 (-0.247...-0.236) - [0.0%] Duration: 5 minutes 48 seconds |
|
4. | Rollout1 | 13/5 | eq: -0.243 (-0.043) |
| Player: Opponent: | 34.20% (G:3.58% B:0.10%) 65.80% (G:2.95% B:0.03%) | Conf.: ± 0.005 (-0.247...-0.238) - [0.0%] Duration: 2 minutes 50 seconds |
|
5. | Rollout1 | 13/9 8/4 | eq: -0.247 (-0.046) |
| Player: Opponent: | 34.00% (G:3.60% B:0.11%) 66.00% (G:3.01% B:0.03%) | Conf.: ± 0.004 (-0.251...-0.242) - [0.0%] Duration: 5 minutes 23 seconds |
|
6. | Rollout1 | 5/1(2) | eq: -0.247 (-0.047) |
| Player: Opponent: | 33.11% (G:2.85% B:0.05%) 66.89% (G:3.25% B:0.05%) | Conf.: ± 0.005 (-0.252...-0.242) - [0.0%] Duration: 4 minutes 51 seconds |
|
7. | Rollout1 | 13/11 8/2 | eq: -0.249 (-0.049) |
| Player: Opponent: | 33.88% (G:3.51% B:0.11%) 66.12% (G:3.12% B:0.03%) | Conf.: ± 0.004 (-0.253...-0.244) - [0.0%] Duration: 4 minutes 25 seconds |
|
|
1 1296 Games rolled with Variance Reduction. Dice Seed: 271828 Moves: 3-ply, cube decisions: XG Roller
|
eXtreme Gammon Version: 2.19.208.pre-release
Variant 1
| | White is Player 2
score: 0 pip: 85 | Unlimited Game | pip: 114 score: 0
Blue is Player 1 | |
XGID=--BBBBB-A---bB---b-cBea-b-:1:1:1:22:0:0:0:0:10 |
Blue to play 22 |
1. | Rollout1 | 20/18(2) 13/9 | eq: -0.222 |
| Player: Opponent: | 34.80% (G:2.87% B:0.10%) 65.20% (G:1.79% B:0.02%) | Conf.: ± 0.005 (-0.227...-0.217) - [36.1%] Duration: 5 minutes 34 seconds |
|
2. | Rollout1 | 20/18(2) 13/11 8/6 | eq: -0.223 (0.000) |
| Player: Opponent: | 34.87% (G:2.78% B:0.09%) 65.13% (G:1.72% B:0.02%) | Conf.: ± 0.005 (-0.228...-0.218) - [30.1%] Duration: 5 minutes 13 seconds |
|
3. | Rollout1 | 20/18(2) 8/4 | eq: -0.224 (-0.001) |
| Player: Opponent: | 34.54% (G:2.69% B:0.08%) 65.46% (G:1.65% B:0.01%) | Conf.: ± 0.005 (-0.229...-0.219) - [20.4%] Duration: 6 minutes 01 second |
|
4. | Rollout1 | 20/14 8/6 | eq: -0.224 (-0.002) |
| Player: Opponent: | 35.76% (G:4.89% B:0.16%) 64.24% (G:5.60% B:0.05%) | Conf.: ± 0.005 (-0.229...-0.219) - [13.4%] Duration: 7 minutes 25 seconds |
|
5. | Rollout1 | 20/18(2) 13/11(2) | eq: -0.243 (-0.021) |
| Player: Opponent: | 33.94% (G:2.42% B:0.08%) 66.06% (G:0.86% B:0.01%) | Conf.: ± 0.005 (-0.248...-0.239) - [0.0%] Duration: 4 minutes 37 seconds |
|
6. | Rollout1 | 20/18(2) 3/1(2) | eq: -0.250 (-0.028) |
| Player: Opponent: | 32.98% (G:2.27% B:0.07%) 67.02% (G:1.85% B:0.03%) | Conf.: ± 0.007 (-0.257...-0.244) - [0.0%] Duration: 4 minutes 49 seconds |
|
7. | Rollout1 | 13/7 8/6 | eq: -0.263 (-0.040) |
| Player: Opponent: | 33.46% (G:5.38% B:0.22%) 66.54% (G:4.61% B:0.06%) | Conf.: ± 0.006 (-0.269...-0.257) - [0.0%] Duration: 6 minutes 01 second |
|
8. | Rollout1 | 8/4 3/1(2) | eq: -0.264 (-0.041) |
| Player: Opponent: | 32.81% (G:3.24% B:0.10%) 67.19% (G:3.50% B:0.05%) | Conf.: ± 0.005 (-0.268...-0.259) - [0.0%] Duration: 5 minutes 47 seconds |
|
9. | Rollout1 | 20/18(2) 8/6 3/1 | eq: -0.267 (-0.044) |
| Player: Opponent: | 32.92% (G:2.77% B:0.09%) 67.08% (G:3.18% B:0.09%) | Conf.: ± 0.005 (-0.272...-0.262) - [0.0%] Duration: 3 minutes 34 seconds |
|
10. | Rollout1 | 13/5 | eq: -0.269 (-0.047) |
| Player: Opponent: | 33.09% (G:4.97% B:0.18%) 66.91% (G:4.49% B:0.05%) | Conf.: ± 0.004 (-0.274...-0.265) - [0.0%] Duration: 5 minutes 52 seconds |
|
11. | Rollout1 | 20/18(2) 8/6 5/3 | eq: -0.271 (-0.048) |
| Player: Opponent: | 32.41% (G:2.46% B:0.08%) 67.59% (G:2.44% B:0.05%) | Conf.: ± 0.005 (-0.276...-0.266) - [0.0%] Duration: 3 minutes 41 seconds |
|
12. | Rollout1 | 20/18(2) 8/6 4/2 | eq: -0.275 (-0.052) |
| Player: Opponent: | 32.33% (G:2.42% B:0.08%) 67.67% (G:2.77% B:0.08%) | Conf.: ± 0.005 (-0.280...-0.270) - [0.0%] Duration: 4 minutes 01 second |
|
|
1 1296 Games rolled with Variance Reduction. Dice Seed: 271828 Moves: 3-ply, cube decisions: XG Roller
|
eXtreme Gammon Version: 2.19.208.pre-release
Variant 2
This one helps illustrate that the swing on White's roll of 64 isn't that crucial a factor.
| | White is Player 2
score: 0 pip: 87 | Unlimited Game | pip: 114 score: 0
Blue is Player 1 | |
XGID=--BBBBB-A---bB---c-bBe-ba-:1:1:1:22:0:0:0:0:10 |
Blue to play 22 |
1. | Rollout1 | 20/14 8/6 | eq: -0.199 |
| Player: Opponent: | 36.48% (G:4.71% B:0.14%) 63.52% (G:4.35% B:0.03%) | Conf.: ± 0.005 (-0.203...-0.194) - [100.0%] Duration: 7 minutes 02 seconds |
|
2. | Rollout1 | 20/16 8/4 | eq: -0.232 (-0.033) |
| Player: Opponent: | 35.60% (G:4.41% B:0.13%) 64.40% (G:5.77% B:0.04%) | Conf.: ± 0.005 (-0.237...-0.227) - [0.0%] Duration: 4 minutes 36 seconds |
|
3. | Rollout1 | 13/7 8/6 | eq: -0.235 (-0.036) |
| Player: Opponent: | 34.68% (G:4.02% B:0.11%) 65.32% (G:2.57% B:0.03%) | Conf.: ± 0.005 (-0.240...-0.230) - [0.0%] Duration: 5 minutes 39 seconds |
|
4. | Rollout1 | 8/4 3/1(2) | eq: -0.238 (-0.039) |
| Player: Opponent: | 33.90% (G:2.99% B:0.07%) 66.10% (G:2.71% B:0.04%) | Conf.: ± 0.006 (-0.244...-0.232) - [0.0%] Duration: 5 minutes 44 seconds |
|
5. | Rollout1 | 13/5 | eq: -0.239 (-0.040) |
| Player: Opponent: | 34.27% (G:3.59% B:0.09%) 65.73% (G:2.43% B:0.03%) | Conf.: ± 0.005 (-0.244...-0.234) - [0.0%] Duration: 6 minutes 41 seconds |
|
6. | Rollout1 | 20/18(2) 13/11 8/6 | eq: -0.241 (-0.043) |
| Player: Opponent: | 33.51% (G:2.82% B:0.08%) 66.49% (G:0.90% B:0.01%) | Conf.: ± 0.005 (-0.246...-0.237) - [0.0%] Duration: 6 minutes 10 seconds |
|
7. | Rollout1 | 13/9 8/4 | eq: -0.243 (-0.044) |
| Player: Opponent: | 34.06% (G:3.68% B:0.10%) 65.94% (G:2.56% B:0.03%) | Conf.: ± 0.005 (-0.248...-0.238) - [0.0%] Duration: 3 minutes 06 seconds |
|
8. | Rollout1 | 20/18(2) 13/9 | eq: -0.244 (-0.045) |
| Player: Opponent: | 33.47% (G:2.66% B:0.08%) 66.53% (G:0.81% B:0.01%) | Conf.: ± 0.005 (-0.249...-0.239) - [0.0%] Duration: 6 minutes 56 seconds |
|
9. | Rollout1 | 13/11 8/2 | eq: -0.250 (-0.052) |
| Player: Opponent: | 33.90% (G:3.46% B:0.08%) 66.10% (G:2.60% B:0.03%) | Conf.: ± 0.005 (-0.255...-0.246) - [0.0%] Duration: 4 minutes 04 seconds |
|
|
1 1296 Games rolled with Variance Reduction. Dice Seed: 271828 Moves: 3-ply, cube decisions: XG Roller
|
eXtreme Gammon Version: 2.19.208.pre-release
Variant 3
| | White is Player 2
score: 0 pip: 87 | Unlimited Game | pip: 104 score: 0
Blue is Player 1 | |
XGID=-BBBBB--A---bB---c-bBea-b-:1:1:1:62:0:0:0:0:10 |
Blue to play 62 |
1. | Rollout1 | 13/11 13/7 | eq: -0.180 |
| Player: Opponent: | 36.41% (G:2.02% B:0.05%) 63.59% (G:1.60% B:0.03%) | Conf.: ± 0.005 (-0.185...-0.175) - [86.5%] Duration: 3 minutes 57 seconds |
|
2. | Rollout1 | 13/7 8/6 | eq: -0.185 (-0.004) |
| Player: Opponent: | 36.65% (G:2.61% B:0.05%) 63.35% (G:2.62% B:0.04%) | Conf.: ± 0.005 (-0.190...-0.179) - [11.0%] Duration: 3 minutes 56 seconds |
|
3. | Rollout1 | 20/14 8/6 | eq: -0.187 (-0.007) |
| Player: Opponent: | 37.65% (G:5.06% B:0.09%) 62.35% (G:7.61% B:0.16%) | Conf.: ± 0.005 (-0.192...-0.182) - [2.5%] Duration: 4 minutes 16 seconds |
|
|
1 1296 Games rolled with Variance Reduction. Dice Seed: 271828 Moves: 3-ply, cube decisions: XG Roller
|
eXtreme Gammon Version: 2.19.208.pre-release
Variant 4
With more time, Blue is in no rush to break anchor.
| | White is Player 2
score: 0 pip: 87 | Unlimited Game | pip: 124 score: 0
Blue is Player 1 | |
XGID=---BBBBBA---bB---c-bBea-b-:1:1:1:62:0:0:0:0:10 |
Blue to play 62 |
1. | Rollout1 | 8/2 7/5 | eq: -0.242 |
| Player: Opponent: | 33.94% (G:4.28% B:0.12%) 66.06% (G:3.60% B:0.05%) | Conf.: ± 0.005 (-0.247...-0.237) - [100.0%] Duration: 8 minutes 36 seconds |
|
2. | Rollout1 | 8/6 7/1 | eq: -0.258 (-0.016) |
| Player: Opponent: | 32.64% (G:3.52% B:0.09%) 67.36% (G:3.66% B:0.05%) | Conf.: ± 0.005 (-0.263...-0.253) - [0.0%] Duration: 6 minutes 50 seconds |
|
3. | Rollout1 | 7/5 7/1 | eq: -0.270 (-0.028) |
| Player: Opponent: | 32.31% (G:3.64% B:0.10%) 67.69% (G:3.99% B:0.07%) | Conf.: ± 0.005 (-0.275...-0.264) - [0.0%] Duration: 4 minutes 33 seconds |
|
4. | Rollout1 | 20/14 8/6 | eq: -0.273 (-0.031) |
| Player: Opponent: | 33.73% (G:4.18% B:0.12%) 66.27% (G:6.08% B:0.03%) | Conf.: ± 0.004 (-0.278...-0.269) - [0.0%] Duration: 9 minutes 53 seconds |
|
5. | Rollout1 | 8/2 4/2 | eq: -0.281 (-0.039) |
| Player: Opponent: | 32.63% (G:3.75% B:0.11%) 67.37% (G:4.25% B:0.06%) | Conf.: ± 0.005 (-0.285...-0.276) - [0.0%] Duration: 6 minutes 09 seconds |
|
|
1 1296 Games rolled with Variance Reduction. Dice Seed: 271828 Moves: 3-ply, cube decisions: XG Roller
|
eXtreme Gammon Version: 2.19.208.pre-release
Variant 5
Perhaps surprisingly, adding another blot to White's board actually seems to narrow the equity differences among the top plays, and 20/16 8/4 emerges as a candidate.
| | White is Player 2
score: 0 pip: 85 | Unlimited Game | pip: 114 score: 0
Blue is Player 1 | |
XGID=--BBBBB-A---bB---c-bBdaab-:1:1:1:22:0:0:0:0:10 |
Blue to play 22 |
1. | Rollout1 | 20/14 8/6 | eq: -0.259 |
| Player: Opponent: | 33.87% (G:4.68% B:0.13%) 66.13% (G:4.55% B:0.03%) | Conf.: ± 0.004 (-0.263...-0.255) - [100.0%] Duration: 6 minutes 43 seconds |
|
2. | Rollout1 | 20/16 8/4 | eq: -0.272 (-0.013) |
| Player: Opponent: | 33.47% (G:5.26% B:0.13%) 66.53% (G:6.34% B:0.04%) | Conf.: ± 0.004 (-0.276...-0.268) - [0.0%] Duration: 5 minutes 37 seconds |
|
3. | Rollout1 | 13/7 8/6 | eq: -0.280 (-0.021) |
| Player: Opponent: | 32.98% (G:3.50% B:0.07%) 67.02% (G:2.88% B:0.04%) | Conf.: ± 0.004 (-0.284...-0.276) - [0.0%] Duration: 6 minutes 36 seconds |
|
4. | Rollout1 | 13/5 | eq: -0.284 (-0.025) |
| Player: Opponent: | 32.49% (G:3.16% B:0.07%) 67.51% (G:2.64% B:0.03%) | Conf.: ± 0.004 (-0.288...-0.280) - [0.0%] Duration: 4 minutes 29 seconds |
|
5. | Rollout1 | 13/9 8/4 | eq: -0.286 (-0.027) |
| Player: Opponent: | 32.45% (G:3.11% B:0.07%) 67.55% (G:2.68% B:0.03%) | Conf.: ± 0.004 (-0.290...-0.282) - [0.0%] Duration: 3 minutes 32 seconds |
|
6. | Rollout1 | 13/11 8/2 | eq: -0.289 (-0.030) |
| Player: Opponent: | 32.24% (G:2.99% B:0.07%) 67.76% (G:2.70% B:0.03%) | Conf.: ± 0.004 (-0.293...-0.285) - [0.0%] Duration: 3 minutes 17 seconds |
|
7. | Rollout1 | 20/18(2) 8/4 | eq: -0.290 (-0.031) |
| Player: Opponent: | 31.67% (G:2.17% B:0.06%) 68.33% (G:1.41% B:0.01%) | Conf.: ± 0.005 (-0.295...-0.286) - [0.0%] Duration: 4 minutes 54 seconds |
|
8. | Rollout1 | 20/18(2) 13/9 | eq: -0.292 (-0.033) |
| Player: Opponent: | 31.85% (G:2.27% B:0.06%) 68.15% (G:1.54% B:0.01%) | Conf.: ± 0.005 (-0.297...-0.288) - [0.0%] Duration: 6 minutes 27 seconds |
|
9. | Rollout1 | 20/18(2) 13/11 8/6 | eq: -0.293 (-0.034) |
| Player: Opponent: | 31.75% (G:2.41% B:0.06%) 68.25% (G:1.49% B:0.01%) | Conf.: ± 0.005 (-0.298...-0.288) - [0.0%] Duration: 5 minutes 36 seconds |
|
10. | Rollout1 | 8/4 3/1(2) | eq: -0.300 (-0.041) |
| Player: Opponent: | 31.50% (G:2.59% B:0.05%) 68.50% (G:3.15% B:0.04%) | Conf.: ± 0.005 (-0.304...-0.295) - [0.0%] Duration: 4 minutes 42 seconds |
|
|
1 1296 Games rolled with Variance Reduction. Dice Seed: 271828 Moves: 3-ply, cube decisions: XG Roller
|
eXtreme Gammon Version: 2.19.208.pre-release
Variant 6
The top play of the rollout isn't a surprise here, but note that 20/14 8/6 is still not that far behind.
| | White is Player 2
score: 0 pip: 87 | Unlimited Game | pip: 115 score: 0
Blue is Player 1 | |
XGID=--ACBBB-A---bB---c-bBea-b-:1:1:1:62:0:0:0:0:10 |
Blue to play 62 |
1. | Rollout1 | 8/2 3/1 | eq: -0.226 |
| Player: Opponent: | 34.56% (G:4.01% B:0.13%) 65.44% (G:3.41% B:0.06%) | Conf.: ± 0.005 (-0.231...-0.221) - [100.0%] Duration: 6 minutes 05 seconds |
|
2. | Rollout1 | 13/11 8/2 | eq: -0.251 (-0.024) |
| Player: Opponent: | 33.76% (G:3.81% B:0.14%) 66.24% (G:3.29% B:0.03%) | Conf.: ± 0.005 (-0.255...-0.246) - [0.0%] Duration: 5 minutes 40 seconds |
|
3. | Rollout1 | 20/14 8/6 | eq: -0.263 (-0.037) |
| Player: Opponent: | 34.24% (G:4.85% B:0.13%) 65.76% (G:7.13% B:0.10%) | Conf.: ± 0.005 (-0.268...-0.258) - [0.0%] Duration: 6 minutes 50 seconds |
|
|
1 1296 Games rolled with Variance Reduction. Dice Seed: 271828 Moves: 3-ply, cube decisions: XG Roller
|
eXtreme Gammon Version: 2.19.208.pre-release