You have the Blue checkers. How do you play 42, for...
.....(1) Money ?
.....(2) DMP ?
.....(3) Gammon Save ?
.....(4) Gammon Go ?
Nack
A position recently posted by Timothy Chow (52S-41D-31P-65R-42) resembles a position that for years I've been meaning to tweak into a R4 (originally score diversified for the 20pt, 22pt + 9pt, 4pt, and hit somewhere). That reminder inspired me to finish off the project.
As it happens, I discovered two related R4's, the first of which is diagrammed above. Sets of rollouts for both positions (by score) appear below.
..
R4 (Real Four-Score Position) #1
Below is a nacbrac summary of the rollouts (one line for each score).
.........m[Z K15 X30 x33 P34 H38 @51 T79] "<=76*2
..........d[X H7 K8 Z9 x15 P25 @36 N42 T43 z52] <28***5
..........s[@ Z23 x92 K108 P113 X125] "<5
..........g[K H19 P28 X40 x50 Z61 N69 T75] "<5
Key:..@ (anchor) = 24/20 22/20, H (Hit) = 13/7*, K (Kill) = 9/7* 6/2*, N (Near) = 13/9 6/4, P (Point) = 8/4 6/4, T (sTack/Tower) = 13/9 8/6, X (hit and split) = 22/18 9/7*, x = 24/20 9/7*, Z (reverse split) = 24/22 13/9, z = 22/20 13/9.
Nactation tutorial ....nacbracs explanation
Each of the four main scores has a different best play. In fact, this is not only a T4 (technical four-score position). Clearing a higher bar, it is also a "R4" (real four-score position), meaning that for each of money, DMP, gammon save and gammon go, the best play clears its respective .010, .0045, .007 and .007 "tied" margin (compared to any play that is best at some other score).
The power rating for this R4 is [sqrt15 + sqrt 7*20/9 + sqrt23*10/7 + sqrt 19*10/7] = 18.76. To compare to the power ratings of other R4's, click here (scroll to the bottom). Also not yet included in that consolidation (chronologically listed here) are R4's with rolls of 41, 43, 64, 44, 65, 21, 54, 52, 31, 65 and 55.
I have yet to construct R4's with rolls of 32, 51, 61, 62 and 63. If you run across what appears to be a T3 or T4 position with one of these rolls, please let me know and perhaps I can adjust from there.
Detailed rollout results appear below. After that, you'll see a score at which a fifth play, H (Hit, 13/7*) does well, plus rollouts for an alternate R4 position (White has her 7pt instead of 11pt).
Money (Position 1)
| 1. | Rollout1 | 24/22 13/9 | eq: -0.092 |
| Player:
Opponent: | 47.05% (G:11.19% B:0.47%)
52.95% (G:10.18% B:0.40%) | Conf.: ± 0.002 (-0.094...-0.090) - [100.0%]
Duration: 23 hours 39 minutes |
|
| 2. | Rollout1 | 9/7* 6/2* | eq: -0.107 (-0.015) |
| Player:
Opponent: | 47.12% (G:14.32% B:0.62%)
52.88% (G:14.85% B:0.76%) | Conf.: ± 0.002 (-0.109...-0.104) - [0.0%]
Duration: 1 day 01 hour 35 minutes |
|
| 3. | Rollout2 | 22/18 9/7* | eq: -0.122 (-0.030) |
| Player:
Opponent: | 47.38% (G:12.28% B:0.62%)
52.62% (G:15.52% B:0.80%) | Conf.: ± 0.008 (-0.130...-0.114) - [0.0%]
Duration: 1 hour 26 minutes |
|
| 4. | Rollout2 | 24/20 9/7* | eq: -0.125 (-0.033) |
| Player:
Opponent: | 46.80% (G:12.41% B:0.53%)
53.20% (G:13.36% B:0.61%) | Conf.: ± 0.009 (-0.134...-0.116) - [0.0%]
Duration: 1 hour 26 minutes |
|
| 5. | Rollout2 | 8/4 6/4 | eq: -0.126 (-0.034) |
| Player:
Opponent: | 46.50% (G:13.19% B:0.56%)
53.50% (G:14.02% B:0.66%) | Conf.: ± 0.010 (-0.135...-0.116) - [0.0%]
Duration: 1 hour 19 minutes |
|
| 6. | Rollout2 | 13/7* | eq: -0.131 (-0.038) |
| Player:
Opponent: | 46.76% (G:13.83% B:0.65%)
53.24% (G:15.28% B:0.85%) | Conf.: ± 0.009 (-0.139...-0.122) - [0.0%]
Duration: 1 hour 28 minutes |
|
| 7. | Rollout2 | 24/20 22/20 | eq: -0.143 (-0.051) |
| Player:
Opponent: | 45.42% (G:10.18% B:0.35%)
54.58% (G:8.53% B:0.33%) | Conf.: ± 0.008 (-0.151...-0.136) - [0.0%]
Duration: 1 hour 22 minutes |
|
| 8. | Rollout2 | 13/9 8/6 | eq: -0.171 (-0.079) |
| Player:
Opponent: | 45.53% (G:12.19% B:0.54%)
54.47% (G:13.86% B:0.61%) | Conf.: ± 0.009 (-0.180...-0.162) - [0.0%]
Duration: 55 minutes 56 seconds |
|
| 9. | Rollout2 | 13/9 6/4 | eq: -0.198 (-0.106) |
| Player:
Opponent: | 45.39% (G:11.70% B:0.54%)
54.61% (G:15.44% B:0.77%) | Conf.: ± 0.008 (-0.206...-0.190) - [0.0%]
Duration: 54 minutes 35 seconds |
|
| 10. | Rollout2 | 22/20 13/9 | eq: -0.222 (-0.130) |
| Player:
Opponent: | 44.86% (G:11.08% B:0.51%)
55.14% (G:14.96% B:0.66%) | Conf.: ± 0.008 (-0.230...-0.215) - [0.0%]
Duration: 59 minutes 49 seconds |
|
| |
1 76464 Games rolled with Variance Reduction.
Dice Seed: 48041068
Moves: 3-ply, cube decisions: XG Roller
2 5184 Games rolled with Variance Reduction.
Dice Seed: 48041068
Moves: 3-ply, cube decisions: XG Roller
|
DMP (Position 1)
         
 
         
 | | White is Player 2
score: 0
pip: 155 | | 1 point match | pip: 163
score: 0
Blue is Player 1 |
|
| XGID=--a---DaDA--bDbb-b-e--A-A-:0:0:1:42:0:0:0:1:10 |
| Blue to play 42 |
| 1. | Rollout1 | 22/18 9/7* | eq: -0.050 |
| Player:
Opponent: | 47.52% (G:14.51% B:1.97%)
52.48% (G:18.46% B:2.54%) | Conf.: ± 0.001 (-0.051...-0.048) - [100.0%]
Duration: 10 hours 52 minutes |
|
| 2. | Rollout1 | 13/7* | eq: -0.057 (-0.007) |
| Player:
Opponent: | 47.17% (G:15.89% B:2.21%)
52.83% (G:17.42% B:2.50%) | Conf.: ± 0.001 (-0.058...-0.055) - [0.0%]
Duration: 8 hours 27 minutes |
|
| 3. | Rollout1 | 9/7* 6/2* | eq: -0.057 (-0.008) |
| Player:
Opponent: | 47.14% (G:16.04% B:1.95%)
52.86% (G:17.01% B:2.29%) | Conf.: ± 0.001 (-0.059...-0.056) - [0.0%]
Duration: 10 hours 03 minutes |
|
| 4. | Rollout1 | 24/22 13/9 | eq: -0.058 (-0.009) |
| Player:
Opponent: | 47.09% (G:12.14% B:1.35%)
52.91% (G:12.53% B:1.17%) | Conf.: ± 0.001 (-0.059...-0.057) - [0.0%]
Duration: 6 hours 50 minutes |
|
| 5. | Rollout2 | 24/20 9/7* | eq: -0.064 (-0.015) |
| Player:
Opponent: | 46.78% (G:13.80% B:1.52%)
53.22% (G:16.38% B:1.75%) | Conf.: ± 0.003 (-0.068...-0.061) - [0.0%]
Duration: 1 hour 48 minutes |
|
| 6. | Rollout2 | 8/4 6/4 | eq: -0.074 (-0.025) |
| Player:
Opponent: | 46.29% (G:14.28% B:1.81%)
53.71% (G:16.13% B:1.95%) | Conf.: ± 0.003 (-0.077...-0.071) - [0.0%]
Duration: 1 hour 01 minute |
|
| 7. | Rollout2 | 24/20 22/20 | eq: -0.086 (-0.036) |
| Player:
Opponent: | 45.71% (G:10.62% B:1.11%)
54.29% (G:11.20% B:0.97%) | Conf.: ± 0.003 (-0.089...-0.083) - [0.0%]
Duration: 1 hour 03 minutes |
|
| 8. | Rollout2 | 13/9 6/4 | eq: -0.092 (-0.042) |
| Player:
Opponent: | 45.42% (G:12.69% B:1.65%)
54.58% (G:17.69% B:2.23%) | Conf.: ± 0.003 (-0.095...-0.089) - [0.0%]
Duration: 1 hour 00 minute |
|
| 9. | Rollout2 | 13/9 8/6 | eq: -0.092 (-0.043) |
| Player:
Opponent: | 45.38% (G:12.96% B:1.31%)
54.62% (G:14.73% B:1.71%) | Conf.: ± 0.003 (-0.095...-0.090) - [0.0%]
Duration: 59 minutes 05 seconds |
|
| 10. | Rollout2 | 22/20 13/9 | eq: -0.102 (-0.052) |
| Player:
Opponent: | 44.91% (G:11.81% B:1.33%)
55.09% (G:16.35% B:2.03%) | Conf.: ± 0.003 (-0.105...-0.099) - [0.0%]
Duration: 58 minutes 14 seconds |
|
| |
1 28512 Games rolled with Variance Reduction.
Dice Seed: 15001865
Moves: 3-ply, cube decisions: XG Roller
2 5184 Games rolled with Variance Reduction.
Dice Seed: 15001865
Moves: 3-ply, cube decisions: XG Roller
|
Gammon Save (Position 1)
| | White is Player 2
score: 0
pip: 155 | 2 point match
Crawford | pip: 163
score: 1
Blue is Player 1 |
|
| XGID=--a---DaDA--bDbb-b-e--A-A-:0:0:1:42:1:0:1:2:10 |
| Blue to play 42 |
| 1. | Rollout1 | 24/20 22/20 | eq: -0.242 |
| Player:
Opponent: | 44.01% (G:9.60% B:0.90%)
55.99% (G:6.14% B:0.34%) | Conf.: ± 0.003 (-0.246...-0.239) - [100.0%]
Duration: 1 hour 09 minutes |
|
| 2. | Rollout1 | 24/22 13/9 | eq: -0.266 (-0.023) |
| Player:
Opponent: | 46.48% (G:13.10% B:1.61%)
53.52% (G:9.77% B:0.79%) | Conf.: ± 0.004 (-0.270...-0.262) - [0.0%]
Duration: 1 hour 03 minutes |
|
| 3. | Rollout1 | 24/20 9/7* | eq: -0.335 (-0.092) |
| Player:
Opponent: | 45.70% (G:14.02% B:1.72%)
54.30% (G:12.44% B:1.31%) | Conf.: ± 0.004 (-0.339...-0.330) - [0.0%]
Duration: 54 minutes 06 seconds |
|
| 4. | Rollout1 | 9/7* 6/2* | eq: -0.350 (-0.108) |
| Player:
Opponent: | 46.21% (G:16.01% B:1.94%)
53.79% (G:13.74% B:1.52%) | Conf.: ± 0.004 (-0.355...-0.346) - [0.0%]
Duration: 51 minutes 11 seconds |
|
| 5. | Rollout1 | 8/4 6/4 | eq: -0.355 (-0.113) |
| Player:
Opponent: | 45.68% (G:14.46% B:1.96%)
54.32% (G:13.43% B:1.39%) | Conf.: ± 0.004 (-0.359...-0.351) - [0.0%]
Duration: 46 minutes 31 seconds |
|
| 6. | Rollout1 | 22/18 9/7* | eq: -0.368 (-0.125) |
| Player:
Opponent: | 46.52% (G:14.32% B:2.21%)
53.48% (G:14.92% B:1.66%) | Conf.: ± 0.004 (-0.372...-0.364) - [0.0%]
Duration: 55 minutes 20 seconds |
|
| 7. | Rollout2 | 13/9 8/6 | eq: -0.381 (-0.138) |
| Player:
Opponent: | 45.39% (G:14.50% B:1.53%)
54.61% (G:14.42% B:1.41%) | Conf.: ± 0.008 (-0.388...-0.373) - [0.0%]
Duration: 20 minutes 43 seconds |
|
| 8. | Rollout2 | 13/7* | eq: -0.382 (-0.140) |
| Player:
Opponent: | 45.72% (G:15.14% B:2.60%)
54.28% (G:14.83% B:2.26%) | Conf.: ± 0.009 (-0.391...-0.373) - [0.0%]
Duration: 23 minutes 33 seconds |
|
| 9. | Rollout2 | 22/20 13/9 | eq: -0.406 (-0.163) |
| Player:
Opponent: | 44.76% (G:12.43% B:1.50%)
55.24% (G:15.04% B:1.50%) | Conf.: ± 0.008 (-0.413...-0.398) - [0.0%]
Duration: 20 minutes 44 seconds |
|
| |
1 5184 Games rolled with Variance Reduction.
Dice Seed: 50847482
Moves: 3-ply, cube decisions: XG Roller
2 1296 Games rolled with Variance Reduction.
Dice Seed: 50847482
Moves: 3-ply, cube decisions: XG Roller
|
Gammon Go (Position 1)
| | White is Player 2
score: 1
pip: 155 | 2 point match
Crawford | pip: 163
score: 0
Blue is Player 1 |
|
| XGID=--a---DaDA--bDbb-b-e--A-A-:0:0:1:42:0:1:1:2:10 |
| Blue to play 42 |
| 1. | Rollout1 | 9/7* 6/2* | eq: +0.234 |
| Player:
Opponent: | 47.76% (G:13.95% B:1.22%)
52.24% (G:17.38% B:2.53%) | Conf.: ± 0.004 (+0.230...+0.239) - [100.0%]
Duration: 1 hour 46 minutes |
|
| 2. | Rollout1 | 13/7* | eq: +0.215 (-0.019) |
| Player:
Opponent: | 47.74% (G:13.00% B:1.27%)
52.26% (G:17.30% B:2.34%) | Conf.: ± 0.004 (+0.211...+0.219) - [0.0%]
Duration: 1 hour 43 minutes |
|
| 3. | Rollout1 | 8/4 6/4 | eq: +0.206 (-0.028) |
| Player:
Opponent: | 46.46% (G:13.85% B:1.23%)
53.54% (G:16.58% B:2.32%) | Conf.: ± 0.005 (+0.202...+0.211) - [0.0%]
Duration: 1 hour 37 minutes |
|
| 4. | Rollout1 | 22/18 9/7* | eq: +0.194 (-0.040) |
| Player:
Opponent: | 48.02% (G:11.68% B:1.20%)
51.98% (G:17.80% B:2.44%) | Conf.: ± 0.004 (+0.190...+0.198) - [0.0%]
Duration: 1 hour 48 minutes |
|
| 5. | Rollout1 | 24/20 9/7* | eq: +0.185 (-0.050) |
| Player:
Opponent: | 47.46% (G:11.77% B:1.15%)
52.54% (G:16.16% B:1.84%) | Conf.: ± 0.004 (+0.181...+0.189) - [0.0%]
Duration: 1 hour 45 minutes |
|
| 6. | Rollout2 | 24/22 13/9 | eq: +0.173 (-0.061) |
| Player:
Opponent: | 46.92% (G:11.75% B:0.71%)
53.08% (G:13.32% B:1.40%) | Conf.: ± 0.008 (+0.166...+0.181) - [0.0%]
Duration: 22 minutes 15 seconds |
|
| 7. | Rollout2 | 13/9 6/4 | eq: +0.165 (-0.069) |
| Player:
Opponent: | 45.64% (G:12.60% B:1.09%)
54.36% (G:18.63% B:2.30%) | Conf.: ± 0.009 (+0.156...+0.174) - [0.0%]
Duration: 21 minutes 52 seconds |
|
| 8. | Rollout2 | 13/9 8/6 | eq: +0.159 (-0.075) |
| Player:
Opponent: | 45.53% (G:12.42% B:1.00%)
54.47% (G:15.48% B:2.05%) | Conf.: ± 0.007 (+0.152...+0.166) - [0.0%]
Duration: 20 minutes 58 seconds |
|
| 9. | Rollout2 | 9/7* 7/3 | eq: +0.149 (-0.086) |
| Player:
Opponent: | 45.42% (G:12.02% B:1.38%)
54.58% (G:17.73% B:2.88%) | Conf.: ± 0.009 (+0.140...+0.157) - [0.0%]
Duration: 25 minutes 05 seconds |
|
| |
1 5184 Games rolled with Variance Reduction.
Dice Seed: 10491478
Moves: 3-ply, cube decisions: XG Roller
2 1296 Games rolled with Variance Reduction.
Dice Seed: 10491478
Moves: 3-ply, cube decisions: XG Roller
|
Justin Nowell figured out the best move for money, gammon save and gammon go. At DMP, he picked close second-best H instead of X, but there are scores at which H is a dead heat or nearly so: when Blue needs an odd number (especially a high number) of points and White is at Crawford.
Below is an example: at 19c, H "wins" a 20k rollout by .000 (.0000, actually), though I believe it would ultimately be reversed in a longer rollout (H lost by .001 to .002 at other odd scores in the 15c to 25c range). Moreover, my standard is to confirm sufficient-length razor-thin 3-ply successes with 4-ply rollouts; hence, I'm choosing not to expend more computer time pursuing the unlikely determination of H as a technical fifth score winner.
..
19c (–19–1, Crawford) (Position 1)
| | White is Player 2
score: 18
pip: 155 | 19 point match
Crawford | pip: 163
score: 0
Blue is Player 1 |
|
| XGID=--a---DaDA--bDbb-b-e--A-A-:0:0:1:42:0:18:1:19:10 |
| Blue to play 42 |
| 1. | Rollout1 | 13/7* | eq: -0.016 |
| Player:
Opponent: | 47.34% (G:14.81% B:0.70%)
52.66% (G:17.35% B:2.47%) | Conf.: ± 0.002 (-0.018...-0.015) - [50.1%]
Duration: 6 hours 33 minutes |
|
| 2. | Rollout1 | 22/18 9/7* | eq: -0.016 |
| Player:
Opponent: | 47.53% (G:13.19% B:0.64%)
52.47% (G:18.23% B:2.50%) | Conf.: ± 0.002 (-0.018...-0.015) - [49.8%]
Duration: 6 hours 48 minutes |
|
| 3. | Rollout2 | 9/7* 6/2* | eq: -0.019 (-0.003) |
| Player:
Opponent: | 47.20% (G:15.05% B:0.63%)
52.80% (G:16.76% B:2.21%) | Conf.: ± 0.002 (-0.021...-0.018) - [0.1%]
Duration: 4 hours 46 minutes |
|
| 4. | Rollout3 | 24/22 13/9 | eq: -0.031 (-0.014) |
| Player:
Opponent: | 47.05% (G:11.44% B:0.51%)
52.95% (G:12.33% B:1.25%) | Conf.: ± 0.003 (-0.034...-0.028) - [0.0%]
Duration: 1 hour 43 minutes |
|
| 5. | Rollout3 | 24/20 9/7* | eq: -0.034 (-0.018) |
| Player:
Opponent: | 46.70% (G:13.04% B:0.57%)
53.30% (G:16.58% B:1.81%) | Conf.: ± 0.003 (-0.037...-0.031) - [0.0%]
Duration: 2 hours 08 minutes |
|
| 6. | Rollout3 | 8/4 6/4 | eq: -0.037 (-0.021) |
| Player:
Opponent: | 46.48% (G:13.72% B:0.58%)
53.52% (G:15.82% B:1.93%) | Conf.: ± 0.003 (-0.040...-0.034) - [0.0%]
Duration: 1 hour 51 minutes |
|
| 7. | Rollout3 | 24/20 22/20 | eq: -0.062 (-0.045) |
| Player:
Opponent: | 45.64% (G:10.59% B:0.42%)
54.36% (G:11.28% B:0.68%) | Conf.: ± 0.003 (-0.065...-0.059) - [0.0%]
Duration: 1 hour 52 minutes |
|
| |
1 20736 Games rolled with Variance Reduction.
Dice Seed: 15022156
Moves: 3-ply, cube decisions: XG Roller
2 15552 Games rolled with Variance Reduction.
Dice Seed: 15022156
Moves: 3-ply, cube decisions: XG Roller
3 5184 Games rolled with Variance Reduction.
Dice Seed: 15022156
Moves: 3-ply, cube decisions: XG Roller
|
Alternate R4 (Real Four-Score Position) #2
In this legitimate variant (where White owns her 7pt instead of her 11pt), Blue (again) has a different non-tied best play at each of the four main scores. The power rating for this alternate R4 is [sqrt23 + sqrt 10*20/9 + sqrt23*17/7 + sqrt 11*10/7] = 18.41 (similar to the other R4's 18.76). Here is the nacbracs summary:
.........m[Z X23 @49 K60 H77 P102 z118] "<=10*5
..........d[X Z10 K22 H22 @39 P43 z50] <10*5
..........s[@ Z17 X103 C133 K152 H172 P175] "<5
..........g[K H11 X14 Z30 P41 N64 T68 O83 z84 389 @92] "<31*16 5
Key:..@ (anchor) = 24/20 22/20, C (Cross) = 24/22 9/5, H (Hit) = 13/7*, K (Kill) = 9/7* 6/2*, N (Near) = 13/9 6/4, O (Outer) = 9/7 8/4*, P (Point) = 8/4 6/4, T (sTack/Tower) = 13/9 8/6, X (hit and split) = 24/20 9/7*, Z (reverse split) = 24/22 13/9, z = 22/20 13/9, 3 (3pt) = 9/7*/3.
Nactation tutorial ....nacbracs explanation
Below is detailed rollout information.
Nack
Money (Position 2)
| 1. | Rollout1 | 24/22 13/9 | eq: -0.222 |
| Player:
Opponent: | 43.73% (G:9.98% B:0.38%)
56.27% (G:10.59% B:0.42%) | Conf.: ± 0.005 (-0.227...-0.216) - [100.0%]
Duration: 3 hours 08 minutes |
|
| 2. | Rollout1 | 24/20 9/7* | eq: -0.244 (-0.023) |
| Player:
Opponent: | 44.12% (G:10.54% B:0.45%)
55.88% (G:15.29% B:0.68%) | Conf.: ± 0.006 (-0.250...-0.238) - [0.0%]
Duration: 3 hours 18 minutes |
|
| 3. | Rollout2 | 24/20 22/20 | eq: -0.270 (-0.049) |
| Player:
Opponent: | 42.25% (G:8.38% B:0.30%)
57.75% (G:9.32% B:0.32%) | Conf.: ± 0.007 (-0.277...-0.263) - [0.0%]
Duration: 1 hour 42 minutes |
|
| 4. | Rollout2 | 9/7* 6/2* | eq: -0.281 (-0.060) |
| Player:
Opponent: | 43.14% (G:12.14% B:0.49%)
56.86% (G:16.53% B:0.86%) | Conf.: ± 0.008 (-0.289...-0.273) - [0.0%]
Duration: 1 hour 46 minutes |
|
| 5. | Rollout2 | 13/7* | eq: -0.298 (-0.077) |
| Player:
Opponent: | 43.01% (G:11.63% B:0.53%)
56.99% (G:17.66% B:1.10%) | Conf.: ± 0.009 (-0.307...-0.289) - [0.0%]
Duration: 1 hour 52 minutes |
|
| 6. | Rollout2 | 8/4 6/4 | eq: -0.324 (-0.102) |
| Player:
Opponent: | 42.05% (G:11.02% B:0.45%)
57.95% (G:15.51% B:0.77%) | Conf.: ± 0.008 (-0.332...-0.316) - [0.0%]
Duration: 1 hour 21 minutes |
|
| 7. | Rollout2 | 22/20 13/9 | eq: -0.339 (-0.118) |
| Player:
Opponent: | 41.74% (G:9.47% B:0.43%)
58.26% (G:15.49% B:0.66%) | Conf.: ± 0.007 (-0.346...-0.332) - [0.0%]
Duration: 1 hour 15 minutes |
|
| 8. | Rollout3 | 13/9 8/6 | eq: -0.384 (-0.162) |
| Player:
Opponent: | 40.56% (G:10.94% B:0.74%)
59.44% (G:15.26% B:0.52%) | Conf.: ± 0.029 (-0.412...-0.355) - [0.0%]
Duration: 30.2 seconds |
|
| |
1 10368 Games rolled with Variance Reduction.
Dice Seed: 50847482
Moves: 3-ply, cube decisions: XG Roller
2 5184 Games rolled with Variance Reduction.
Dice Seed: 50847482
Moves: 3-ply, cube decisions: XG Roller
3 77 Games rolled with Variance Reduction.
Dice Seed: 50847482
Moves: 3-ply, cube decisions: XG Roller
|
DMP (Position 2)
| | White is Player 2
score: 0
pip: 147 | | 1 point match | pip: 163
score: 0
Blue is Player 1 |
|
| XGID=--a---DaDA--bD-b-bbe--A-A-:0:0:1:42:0:0:0:1:10 |
| Blue to play 42 |
| 1. | Rollout1 | 24/20 9/7* | eq: -0.110 |
| Player:
Opponent: | 44.48% (G:11.66% B:1.35%)
55.52% (G:19.37% B:2.10%) | Conf.: ± 0.002 (-0.113...-0.108) - [100.0%]
Duration: 3 hours 41 minutes |
|
| 2. | Rollout1 | 24/22 13/9 | eq: -0.120 (-0.010) |
| Player:
Opponent: | 43.98% (G:10.56% B:1.19%)
56.02% (G:13.96% B:1.23%) | Conf.: ± 0.002 (-0.122...-0.118) - [0.0%]
Duration: 3 hours 10 minutes |
|
| 3. | Rollout2 | 9/7* 6/2* | eq: -0.132 (-0.022) |
| Player:
Opponent: | 43.39% (G:12.87% B:1.49%)
56.61% (G:19.94% B:2.96%) | Conf.: ± 0.003 (-0.135...-0.129) - [0.0%]
Duration: 1 hour 42 minutes |
|
| 4. | Rollout2 | 13/7* | eq: -0.133 (-0.022) |
| Player:
Opponent: | 43.36% (G:12.99% B:1.61%)
56.64% (G:21.30% B:3.35%) | Conf.: ± 0.003 (-0.136...-0.130) - [0.0%]
Duration: 1 hour 41 minutes |
|
| 5. | Rollout2 | 24/20 22/20 | eq: -0.150 (-0.039) |
| Player:
Opponent: | 42.52% (G:8.30% B:0.70%)
57.48% (G:13.36% B:0.98%) | Conf.: ± 0.003 (-0.152...-0.147) - [0.0%]
Duration: 1 hour 12 minutes |
|
| 6. | Rollout2 | 8/4 6/4 | eq: -0.153 (-0.043) |
| Player:
Opponent: | 42.33% (G:11.60% B:1.43%)
57.67% (G:19.31% B:2.21%) | Conf.: ± 0.003 (-0.156...-0.150) - [0.0%]
Duration: 1 hour 09 minutes |
|
| 7. | Rollout2 | 22/20 13/9 | eq: -0.160 (-0.050) |
| Player:
Opponent: | 41.99% (G:10.14% B:1.24%)
58.01% (G:18.48% B:2.38%) | Conf.: ± 0.003 (-0.163...-0.157) - [0.0%]
Duration: 1 hour 09 minutes |
|
| 8. | Rollout3 | 13/9 6/4 | eq: -0.168 (-0.057) |
| Player:
Opponent: | 41.62% (G:10.80% B:0.92%)
58.38% (G:22.39% B:3.32%) | Conf.: ± 0.006 (-0.173...-0.162) - [0.0%]
Duration: 20 minutes 11 seconds |
|
| 9. | Rollout3 | 13/9 8/6 | eq: -0.178 (-0.068) |
| Player:
Opponent: | 41.10% (G:11.27% B:1.20%)
58.90% (G:18.01% B:1.93%) | Conf.: ± 0.006 (-0.184...-0.172) - [0.0%]
Duration: 18 minutes 09 seconds |
|
| |
1 10368 Games rolled with Variance Reduction.
Dice Seed: 9403897
Moves: 3-ply, cube decisions: XG Roller
2 5184 Games rolled with Variance Reduction.
Dice Seed: 9403897
Moves: 3-ply, cube decisions: XG Roller
3 1296 Games rolled with Variance Reduction.
Dice Seed: 9403897
Moves: 3-ply, cube decisions: XG Roller
|
Gammon Save (Position 2)
| | White is Player 2
score: 0
pip: 147 | 2 point match
Crawford | pip: 163
score: 1
Blue is Player 1 |
|
| XGID=--a---DaDA--bD-b-bbe--A-A-:0:0:1:42:1:0:1:2:10 |
| Blue to play 42 |
| 1. | Rollout1 | 24/20 22/20 | eq: -0.315 |
| Player:
Opponent: | 40.68% (G:7.23% B:0.58%)
59.32% (G:6.43% B:0.43%) | Conf.: ± 0.003 (-0.318...-0.312) - [100.0%]
Duration: 1 hour 21 minutes |
|
| 2. | Rollout1 | 24/22 13/9 | eq: -0.332 (-0.017) |
| Player:
Opponent: | 42.71% (G:10.52% B:1.07%)
57.29% (G:9.30% B:0.88%) | Conf.: ± 0.003 (-0.335...-0.328) - [0.0%]
Duration: 1 hour 10 minutes |
|
| 3. | Rollout1 | 24/20 9/7* | eq: -0.418 (-0.103) |
| Player:
Opponent: | 42.82% (G:11.32% B:1.19%)
57.18% (G:13.73% B:1.51%) | Conf.: ± 0.004 (-0.422...-0.414) - [0.0%]
Duration: 1 hour 28 minutes |
|
| 4. | Rollout1 | 24/22 9/5 | eq: -0.448 (-0.133) |
| Player:
Opponent: | 37.64% (G:8.05% B:0.88%)
62.36% (G:10.03% B:0.82%) | Conf.: ± 0.003 (-0.451...-0.445) - [0.0%]
Duration: 1 hour 18 minutes |
|
| 5. | Rollout1 | 9/7* 6/2* | eq: -0.467 (-0.152) |
| Player:
Opponent: | 42.10% (G:12.76% B:1.48%)
57.90% (G:15.47% B:1.84%) | Conf.: ± 0.004 (-0.471...-0.464) - [0.0%]
Duration: 1 hour 24 minutes |
|
| 6. | Rollout1 | 13/7* | eq: -0.487 (-0.172) |
| Player:
Opponent: | 41.78% (G:12.27% B:1.59%)
58.22% (G:16.13% B:2.22%) | Conf.: ± 0.004 (-0.491...-0.483) - [0.0%]
Duration: 1 hour 24 minutes |
|
| 7. | Rollout1 | 8/4 6/4 | eq: -0.490 (-0.175) |
| Player:
Opponent: | 41.53% (G:12.25% B:1.68%)
58.47% (G:16.02% B:1.78%) | Conf.: ± 0.004 (-0.494...-0.486) - [0.0%]
Duration: 1 hour 17 minutes |
|
| 8. | Rollout2 | 13/9 8/6 | eq: -0.505 (-0.190) |
| Player:
Opponent: | 40.89% (G:11.39% B:1.00%)
59.11% (G:16.14% B:1.61%) | Conf.: ± 0.007 (-0.512...-0.498) - [0.0%]
Duration: 18 minutes 40 seconds |
|
| 9. | Rollout2 | 22/20 13/9 | eq: -0.506 (-0.191) |
| Player:
Opponent: | 42.48% (G:11.49% B:1.49%)
57.52% (G:17.77% B:1.20%) | Conf.: ± 0.008 (-0.514...-0.498) - [0.0%]
Duration: 19 minutes 38 seconds |
|
| |
1 5184 Games rolled with Variance Reduction.
Dice Seed: 50847482
Moves: 3-ply, cube decisions: XG Roller
2 1296 Games rolled with Variance Reduction.
Dice Seed: 50847482
Moves: 3-ply, cube decisions: XG Roller
|
Gammon Go (Position 2)
| | White is Player 2
score: 1
pip: 147 | 2 point match
Crawford | pip: 163
score: 0
Blue is Player 1 |
|
| XGID=--a---DaDA--bD-b-bbe--A-A-:0:0:1:42:0:1:1:2:10 |
| Blue to play 42 |
| 1. | Rollout1 | 9/7* 6/2* | eq: +0.116 |
| Player:
Opponent: | 43.57% (G:12.22% B:1.08%)
56.43% (G:20.66% B:2.90%) | Conf.: ± 0.002 (+0.114...+0.117) - [100.0%]
Duration: 5 hours 37 minutes |
|
| 2. | Rollout1 | 13/7* | eq: +0.105 (-0.011) |
| Player:
Opponent: | 43.62% (G:11.61% B:1.08%)
56.38% (G:21.13% B:3.24%) | Conf.: ± 0.002 (+0.103...+0.106) - [0.0%]
Duration: 5 hours 46 minutes |
|
| 3. | Rollout2 | 24/20 9/7* | eq: +0.102 (-0.014) |
| Player:
Opponent: | 44.63% (G:10.48% B:0.90%)
55.37% (G:19.37% B:2.10%) | Conf.: ± 0.002 (+0.100...+0.104) - [0.0%]
Duration: 3 hours 11 minutes |
|
| 4. | Rollout3 | 24/22 13/9 | eq: +0.086 (-0.029) |
| Player:
Opponent: | 43.72% (G:10.60% B:0.81%)
56.28% (G:14.21% B:1.34%) | Conf.: ± 0.004 (+0.082...+0.090) - [0.0%]
Duration: 1 hour 12 minutes |
|
| 5. | Rollout3 | 8/4 6/4 | eq: +0.074 (-0.041) |
| Player:
Opponent: | 42.12% (G:11.60% B:0.88%)
57.88% (G:20.44% B:2.58%) | Conf.: ± 0.004 (+0.071...+0.078) - [0.0%]
Duration: 51 minutes 59 seconds |
|
| 6. | Rollout3 | 13/9 6/4 | eq: +0.051 (-0.064) |
| Player:
Opponent: | 41.75% (G:10.82% B:1.07%)
58.25% (G:22.90% B:3.14%) | Conf.: ± 0.004 (+0.047...+0.056) - [0.0%]
Duration: 1 hour 11 minutes |
|
| 7. | Rollout3 | 13/9 8/6 | eq: +0.048 (-0.068) |
| Player:
Opponent: | 41.29% (G:11.10% B:0.88%)
58.71% (G:19.32% B:2.23%) | Conf.: ± 0.004 (+0.044...+0.052) - [0.0%]
Duration: 1 hour 04 minutes |
|
| 8. | Rollout3 | 9/7* 8/4 | eq: +0.033 (-0.083) |
| Player:
Opponent: | 41.34% (G:10.30% B:1.03%)
58.66% (G:24.83% B:4.52%) | Conf.: ± 0.004 (+0.028...+0.037) - [0.0%]
Duration: 1 hour 22 minutes |
|
| 9. | Rollout3 | 22/20 13/9 | eq: +0.032 (-0.084) |
| Player:
Opponent: | 41.87% (G:9.72% B:0.83%)
58.13% (G:19.23% B:2.31%) | Conf.: ± 0.004 (+0.028...+0.035) - [0.0%]
Duration: 1 hour 07 minutes |
|
| |
1 31104 Games rolled with Variance Reduction.
Dice Seed: 51503574
Moves: 3-ply, cube decisions: XG Roller
2 16848 Games rolled with Variance Reduction.
Dice Seed: 51503574
Moves: 3-ply, cube decisions: XG Roller
3 5184 Games rolled with Variance Reduction.
Dice Seed: 51503574
Moves: 3-ply, cube decisions: XG Roller
|