1. | Rollout1 | 6/4 5/3(3) | eq: +0.744 |
| Player: Opponent: | 87.19% (G:18.05% B:2.04%) 12.81% (G:0.00% B:0.00%) | Conf.: ¡Ó 0.001 (+0.743...+0.745) - [100.0%] Duration: 4 minutes 31 seconds |
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2. | Rollout1 | 6/4(2) 6/2 | eq: +0.705 (-0.039) |
| Player: Opponent: | 85.25% (G:18.40% B:1.42%) 14.75% (G:0.00% B:0.00%) | Conf.: ¡Ó 0.001 (+0.704...+0.706) - [0.0%] Duration: 5 minutes 52 seconds |
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3. | Rollout2 | 5/3(3) 4/2 | eq: +0.644 (-0.100) |
| Player: Opponent: | 82.19% (G:14.53% B:1.65%) 17.81% (G:0.00% B:0.00%) | Conf.: ¡Ó 0.002 (+0.642...+0.646) - [0.0%] Duration: 1 minute 23 seconds |
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4. | Rollout2 | 4/2(2) 4/Off | eq: +0.629 (-0.114) |
| Player: Opponent: | 81.47% (G:17.51% B:1.53%) 18.53% (G:0.00% B:0.00%) | Conf.: ¡Ó 0.002 (+0.627...+0.632) - [0.0%] Duration: 2 minutes 06 seconds |
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5. | Rollout2 | 6/Off 4/2 | eq: +0.596 (-0.148) |
| Player: Opponent: | 79.78% (G:18.68% B:1.45%) 20.22% (G:0.00% B:0.00%) | Conf.: ¡Ó 0.003 (+0.593...+0.598) - [0.0%] Duration: 1 minute 38 seconds |
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6. | Rollout2 | 4/Off 2/Off(2) | eq: +0.592 (-0.151) |
| Player: Opponent: | 79.62% (G:23.67% B:3.29%) 20.38% (G:0.00% B:0.00%) | Conf.: ¡Ó 0.006 (+0.587...+0.598) - [0.0%] Duration: 2 minutes 07 seconds |
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1 5184 Games rolled with Variance Reduction. Moves: 3-ply, cube decisions: XG Roller
2 1296 Games rolled with Variance Reduction. Moves: 3-ply, cube decisions: XG Roller
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Above is a rollout of Phil's original position. (Normally, I am reluctant to roll out another person's position -- that's the poster's job! -- but endgames go pretty fast.)
Blue's play depends largely on White's timing (how long she can keep her board). The need for caution decreases as the probability of White cracking her board (on this roll or the next roll) increases.
In the original position, Blue's play of 6/4 5/3(3) is clearly best, but as White's 18pt checker is gradually advanced, that play relatively weakens. The tipping point is between White's 10pt and 9pt. (See Variants 1 and 2, which are flanking cusps.) This is where the most aggressive move of taking three checkers off (4/off 2/off(2)) becomes best, the very play that is a whopper with cheese (¡V.0151) in the original position!
By the time White's floating 18pt checker reaches her 6pt, 6/4 5/3(3) moves into fourth place (at ¡V.049, rollout not shown), and it becomes a blunder (¡V.067) when the floating checker arrives at White's 1pt. (See Variant 3.)
Nack
1. | Rollout1 | 6/4 5/3(3) | eq: +0.784 |
| Player: Opponent: | 89.50% (G:3.26% B:0.07%) 10.50% (G:0.00% B:0.00%) | Conf.: ¡Ó 0.001 (+0.783...+0.785) - [99.9%] Duration: 2 minutes 44 seconds |
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2. | Rollout1 | 4/Off 2/Off(2) | eq: +0.779 (-0.006) |
| Player: Opponent: | 86.38% (G:10.17% B:0.51%) 13.62% (G:0.00% B:0.00%) | Conf.: ¡Ó 0.003 (+0.775...+0.782) - [0.1%] Duration: 5 minutes 33 seconds |
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3. | Rollout1 | 6/4(2) 6/2 | eq: +0.777 (-0.007) |
| Player: Opponent: | 88.65% (G:4.83% B:0.10%) 11.35% (G:0.00% B:0.00%) | Conf.: ¡Ó 0.001 (+0.776...+0.779) - [0.0%] Duration: 3 minutes 40 seconds |
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4. | Rollout2 | 4/2(2) 4/Off | eq: +0.741 (-0.044) |
| Player: Opponent: | 86.41% (G:6.50% B:0.16%) 13.59% (G:0.00% B:0.00%) | Conf.: ¡Ó 0.003 (+0.738...+0.744) - [0.0%] Duration: 5 minutes 59 seconds |
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5. | Rollout3 | 5/3(3) 4/2 | eq: +0.697 (-0.087) |
| Player: Opponent: | 85.48% (G:4.36% B:0.07%) 14.52% (G:0.00% B:0.00%) | Conf.: ¡Ó 0.003 (+0.694...+0.700) - [0.0%] Duration: 1 minute 02 seconds |
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6. | Rollout3 | 6/Off 4/2 | eq: +0.686 (-0.098) |
| Player: Opponent: | 84.46% (G:5.93% B:0.11%) 15.54% (G:0.00% B:0.00%) | Conf.: ¡Ó 0.003 (+0.683...+0.689) - [0.0%] Duration: 1 minute 05 seconds |
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1 5184 Games rolled with Variance Reduction. Moves: 3-ply, cube decisions: XG Roller
2 2592 Games rolled with Variance Reduction. Moves: 3-ply, cube decisions: XG Roller
3 1296 Games rolled with Variance Reduction. Moves: 3-ply, cube decisions: XG Roller
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1. | Rollout1 | 4/Off 2/Off(2) | eq: +0.794 |
| Player: Opponent: | 87.05% (G:10.11% B:0.47%) 12.95% (G:0.00% B:0.00%) | Conf.: ¡Ó 0.004 (+0.790...+0.797) - [100.0%] Duration: 5 minutes 40 seconds |
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2. | Rollout1 | 6/4 5/3(3) | eq: +0.786 (-0.008) |
| Player: Opponent: | 89.68% (G:3.09% B:0.06%) 10.32% (G:0.00% B:0.00%) | Conf.: ¡Ó 0.001 (+0.785...+0.787) - [0.0%] Duration: 2 minutes 45 seconds |
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3. | Rollout1 | 6/4(2) 6/2 | eq: +0.784 (-0.010) |
| Player: Opponent: | 89.10% (G:4.40% B:0.09%) 10.90% (G:0.00% B:0.00%) | Conf.: ¡Ó 0.001 (+0.783...+0.786) - [0.0%] Duration: 3 minutes 36 seconds |
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4. | Rollout2 | 4/2(2) 4/Off | eq: +0.751 (-0.043) |
| Player: Opponent: | 87.11% (G:6.15% B:0.15%) 12.89% (G:0.00% B:0.00%) | Conf.: ¡Ó 0.004 (+0.746...+0.755) - [0.0%] Duration: 1 minute 49 seconds |
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5. | Rollout2 | 5/3(3) 4/2 | eq: +0.700 (-0.094) |
| Player: Opponent: | 85.81% (G:4.17% B:0.07%) 14.19% (G:0.00% B:0.00%) | Conf.: ¡Ó 0.004 (+0.696...+0.704) - [0.0%] Duration: 1 minute 31 seconds |
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6. | Rollout2 | 6/Off 4/2 | eq: +0.694 (-0.100) |
| Player: Opponent: | 84.98% (G:5.61% B:0.10%) 15.02% (G:0.00% B:0.00%) | Conf.: ¡Ó 0.003 (+0.690...+0.697) - [0.0%] Duration: 1 minute 30 seconds |
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1 5184 Games rolled with Variance Reduction. Moves: 3-ply, cube decisions: XG Roller
2 1296 Games rolled with Variance Reduction. Moves: 3-ply, cube decisions: XG Roller
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1. | Rollout1 | 4/Off 2/Off(2) | eq: +0.912 |
| Player: Opponent: | 92.67% (G:8.36% B:0.32%) 7.33% (G:0.00% B:0.00%) | Conf.: ¡Ó 0.003 (+0.909...+0.914) - [100.0%] Duration: 8 minutes 00 second |
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2. | Rollout1 | 4/2(2) 4/Off | eq: +0.869 (-0.043) |
| Player: Opponent: | 92.50% (G:4.70% B:0.09%) 7.50% (G:0.00% B:0.00%) | Conf.: ¡Ó 0.002 (+0.867...+0.870) - [0.0%] Duration: 7 minutes 34 seconds |
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3. | Rollout2 | 6/4(2) 6/2 | eq: +0.859 (-0.052) |
| Player: Opponent: | 92.58% (G:3.59% B:0.07%) 7.42% (G:0.00% B:0.00%) | Conf.: ¡Ó 0.002 (+0.858...+0.861) - [0.0%] Duration: 3 minutes 45 seconds |
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4. | Rollout2 | 6/4 5/3(3) | eq: +0.845 (-0.067) |
| Player: Opponent: | 92.30% (G:2.88% B:0.06%) 7.70% (G:0.00% B:0.00%) | Conf.: ¡Ó 0.001 (+0.843...+0.846) - [0.0%] Duration: 3 minutes 02 seconds |
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5. | Rollout3 | 6/Off 4/2 | eq: +0.817 (-0.095) |
| Player: Opponent: | 90.39% (G:4.56% B:0.09%) 9.61% (G:0.00% B:0.00%) | Conf.: ¡Ó 0.003 (+0.814...+0.820) - [0.0%] Duration: 2 minutes 49 seconds |
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6. | Rollout3 | 5/3(3) 4/2 | eq: +0.796 (-0.116) |
| Player: Opponent: | 89.87% (G:3.49% B:0.07%) 10.13% (G:0.00% B:0.00%) | Conf.: ¡Ó 0.003 (+0.793...+0.799) - [0.0%] Duration: 2 minutes 55 seconds |
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1 5184 Games rolled with Variance Reduction. Moves: 3-ply, cube decisions: XG Roller
2 2592 Games rolled with Variance Reduction. Moves: 3-ply, cube decisions: XG Roller
3 1296 Games rolled with Variance Reduction. Moves: 3-ply, cube decisions: XG Roller
|