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32S-51S-43Z-43 and variants

Posted By: Nack Ballard
Date: Wednesday, 26 October 2011, at 3:40 p.m.

In Response To: BQ: When in doubt, make the 20 point? (leobueno)

The 32S-51S-43Z-43 position of this thread is the fourth entry below ("21pt"); the rest are variants. The first column tells us how White's anchor has been altered, with everything else remaining the same.

    24pt [@ H24]
    23pt [@ H75]
    22pt [@ H4]
    21pt [H @49]
    20pt [H @18]
    18pt [H @110]

The XG2 rollout results (5k trials, 3-ply checker with roller cube) are nacbrac'ed in the second column, and detailed below. It's interesting to ponder the fluctuating margins as White's anchor becomes more advanced.

Nack




White is Player 2

score: 0
pip: 161
Unlimited Game
Jacoby Beaver
pip: 161
score: 0

Blue is Player 1
XGID=-b----E-D---cDa-ac-e---AA-:0:0:1:34:0:0:3:0:10
White has 24pt anchor

1.Rollout124/20 23/20eq: +0.256
Player:
Opponent:
55.80% (G:13.77% B:0.51%)
44.20% (G:8.26% B:0.31%)
Conf.: ± 0.007 (+0.249...+0.263) - [100.0%]
Duration: 1 hour 06 minutes
2.Rollout123/16* eq: +0.232 (-0.024)
Player:
Opponent:
55.26% (G:16.85% B:1.25%)
44.74% (G:12.62% B:0.49%)
Conf.: ± 0.008 (+0.224...+0.240) - [0.0%]
Duration: 1 hour 17 minutes
1 5184 Games rolled with Variance Reduction.
Dice Seed: 724
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.00





White is Player 2

score: 0
pip: 159
Unlimited Game
Jacoby Beaver
pip: 161
score: 0

Blue is Player 1
XGID=--b---E-D---cDa-ac-e---AA-:0:0:1:43:0:0:3:0:10
White has 23pt anchor

1.Rollout124/20 23/20eq: +0.291
Player:
Opponent:
56.66% (G:13.30% B:0.48%)
43.34% (G:7.86% B:0.28%)
Conf.: ± 0.007 (+0.284...+0.298) - [100.0%]
Duration: 2 hours 06 minutes
2.Rollout123/16* eq: +0.216 (-0.075)
Player:
Opponent:
55.33% (G:15.59% B:0.85%)
44.67% (G:12.80% B:0.50%)
Conf.: ± 0.009 (+0.207...+0.224) - [0.0%]
Duration: 2 hours 24 minutes
1 5184 Games rolled with Variance Reduction.
Dice Seed: 724
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.00





White is Player 2

score: 0
pip: 157
Unlimited Game
Jacoby Beaver
pip: 161
score: 0

Blue is Player 1
XGID=---b--E-D---cDa-ac-e---AA-:0:0:1:43:0:0:3:0:10
White has 22pt anchor

1.Rollout124/20 23/20eq: +0.136
Player:
Opponent:
53.02% (G:10.31% B:0.36%)
46.98% (G:7.80% B:0.28%)
Conf.: ± 0.007 (+0.129...+0.142) - [78.2%]
Duration: 2 hours 52 minutes
2.Rollout123/16* eq: +0.132 (-0.004)
Player:
Opponent:
53.52% (G:13.72% B:0.61%)
46.48% (G:13.07% B:0.48%)
Conf.: ± 0.008 (+0.123...+0.140) - [21.8%]
Duration: 3 hours 19 minutes
1 5184 Games rolled with Variance Reduction.
Dice Seed: 724
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.00





White is Player 2

score: 0
pip: 155
Unlimited Game
Jacoby Beaver
pip: 161
score: 0

Blue is Player 1
XGID=----b-E-D---cDa-ac-e---AA-:0:0:1:34:0:0:3:0:10
White has 21pt anchor

1.Rollout123/16* eq: +0.049
Player:
Opponent:
51.80% (G:11.61% B:0.48%)
48.20% (G:13.45% B:0.48%)
Conf.: ± 0.008 (+0.041...+0.057) - [100.0%]
Duration: 1 hour 16 minutes
2.Rollout124/20 23/20eq: +0.000 (-0.049)
Player:
Opponent:
49.88% (G:7.64% B:0.27%)
50.12% (G:7.31% B:0.23%)
Conf.: ± 0.006 (-0.006...+0.006) - [0.0%]
Duration: 1 hour 02 minutes
1 5184 Games rolled with Variance Reduction.
Dice Seed: 724
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.00





White is Player 2

score: 0
pip: 153
Unlimited Game
Jacoby Beaver
pip: 161
score: 0

Blue is Player 1
XGID=-----bE-D---cDa-ac-e---AA-:0:0:1:43:0:0:3:0:10
White has 20pt anchor

1.Rollout123/16* eq: -0.056
Player:
Opponent:
49.62% (G:9.89% B:0.38%)
50.38% (G:13.88% B:0.46%)
Conf.: ± 0.008 (-0.063...-0.048) - [100.0%]
Duration: 5 hours 29 minutes
2.Rollout124/20 23/20eq: -0.073 (-0.018)
Player:
Opponent:
47.72% (G:5.67% B:0.18%)
52.28% (G:6.04% B:0.18%)
Conf.: ± 0.006 (-0.079...-0.068) - [0.0%]
Duration: 4 hours 32 minutes
1 5184 Games rolled with Variance Reduction.
Dice Seed: 724
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.00





White is Player 2

score: 0
pip: 149
Unlimited Game
Jacoby Beaver
pip: 161
score: 0

Blue is Player 1
XGID=------EbD---cDa-ac-e---AA-:0:0:1:43:0:0:3:0:10
White has 18pt anchor

1.Rollout123/16* eq: -0.050
Player:
Opponent:
49.15% (G:11.87% B:0.47%)
50.85% (G:13.44% B:0.46%)
Conf.: ± 0.008 (-0.058...-0.042) - [100.0%]
Duration: 1 hour 58 minutes
2.Rollout124/20 23/20eq: -0.160 (-0.110)
Player:
Opponent:
45.19% (G:6.31% B:0.20%)
54.81% (G:5.86% B:0.18%)
Conf.: ± 0.005 (-0.165...-0.154) - [0.0%]
Duration: 1 hour 41 minutes
1 5184 Games rolled with Variance Reduction.
Dice Seed: 724
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.00

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