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Rollout and variant

Posted By: Timothy Chow
Date: Sunday, 31 December 2023, at 1:32 p.m.

In Response To: Best way to contain White's checker? Problem #2 (Timothy Chow)

XG 3-ply favors 21/16 6/3, but the rollout says that play is close to a double whopper. I like Dmitriy's analysis, but it is also worth pondering what makes the original position different from the variant position below.





White is Player 2

score: 0
pip: 52
Unlimited Game
pip: 102
score: 0

Blue is Player 1
XGID=-BBABBBa-----B--A--b-Abfd-:0:0:1:53:0:0:0:0:10
Blue to play 53

1.Rollout16/3 6/1eq: -0.299
Player:
Opponent:
37.92% (G:2.00% B:0.05%)
62.08% (G:7.36% B:0.01%)
Conf.: ± 0.007 (-0.306...-0.291) - [100.0%]
Duration: 40.9 seconds
2.Rollout116/8eq: -0.423 (-0.125)
Player:
Opponent:
37.62% (G:2.00% B:0.05%)
62.38% (G:7.48% B:0.00%)
Conf.: ± 0.005 (-0.428...-0.418) - [0.0%]
Duration: 32.9 seconds
3.Rollout121/16 6/3eq: -0.484 (-0.185)
Player:
Opponent:
34.58% (G:1.65% B:0.04%)
65.42% (G:4.33% B:0.02%)
Conf.: ± 0.008 (-0.491...-0.476) - [0.0%]
Duration: 23.7 seconds
 
1 1296 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.19.211.pre-release


Variant:





White is Player 2

score: 0
pip: 56
Unlimited Game
pip: 102
score: 0

Blue is Player 1
XGID=-BBABBBa-----B--A--c-Abed-:0:0:1:53:0:0:0:0:10
Blue to play 53

1.Rollout121/16 6/3eq: -0.504
Player:
Opponent:
33.08% (G:1.09% B:0.02%)
66.92% (G:3.30% B:0.01%)
Conf.: ± 0.007 (-0.511...-0.497) - [99.5%]
Duration: 4 minutes 45 seconds
2.Rollout16/3 6/1eq: -0.521 (-0.017)
Player:
Opponent:
33.71% (G:1.63% B:0.04%)
66.29% (G:8.69% B:0.02%)
Conf.: ± 0.011 (-0.531...-0.510) - [0.5%]
Duration: 6 minutes 55 seconds
 
1 1296 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 4-ply, cube decisions: XG Roller+
Search interval: Large

eXtreme Gammon Version: 2.19.211.pre-release

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