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Only six legal plays

Posted By: Chuck Bower
Date: Friday, 26 June 2026, at 6:23 p.m.

In Response To: Only six legal plays (Chuck Bower)

Two plays are effectively tied at the top. One was popular here, the other not mentioned. (Is it difficult to see the 23/5 candidate? I ask partly because I missed seeing it myself.) FWIW I ran XGR++ rollouts (reverting to 4-ply after six moves) and with 1296 trials and with not as small uncertainty as shown here it was even closer in the difference -- 0.0003 with joint standard deviation of 0.0029; here the j.s.d. is 0.0007.





White is Player 2

score: 0
pip: 38
7 point match
pip: 102
score: 0

Blue is Player 1
XGID=-CDBAB-------------abbdBbA:1:1:1:66:0:0:0:7:10
Blue to play 66

1.Rollout1Bar/19* 23/17(2) 19/13eq: -0.6576
Player:
Opponent:
21.44% (G:0.00% B:0.00%)
78.56% (G:15.81% B:0.27%)
Conf.: ±0.0009 (-0.6585...-0.6567) - [89.4%]
Duration: 10 minutes 48 seconds
2.Rollout1Bar/19* 23/5eq: -0.6584 (-0.0008)
Player:
Opponent:
21.29% (G:0.00% B:0.00%)
78.71% (G:15.43% B:0.48%)
Conf.: ±0.0009 (-0.6593...-0.6575) - [10.6%]
Duration: 8 minutes 52 seconds
3.Rollout2Bar/19* 23/17 23/11eq: -0.6964 (-0.0388)
Player:
Opponent:
21.68% (G:0.00% B:0.00%)
78.32% (G:19.20% B:0.76%)
Conf.: ±0.0049 (-0.7013...-0.6915) - [0.0%]
Duration: 22.6 seconds
4.Rollout2Bar/19* 23/17 19/7eq: -0.7286 (-0.0710)
Player:
Opponent:
20.96% (G:0.00% B:0.00%)
79.04% (G:20.79% B:1.06%)
Conf.: ±0.0051 (-0.7338...-0.7235) - [0.0%]
Duration: 22.0 seconds
5.Rollout2Bar/19* 23/11 19/13eq: -0.7320 (-0.0744)
Player:
Opponent:
21.06% (G:0.00% B:0.00%)
78.94% (G:20.96% B:1.06%)
Conf.: ±0.0049 (-0.7368...-0.7271) - [0.0%]
Duration: 24.0 seconds
6.Rollout2Bar/19* 19/1eq: -0.8572 (-0.1996)
Player:
Opponent:
14.20% (G:0.00% B:0.00%)
85.80% (G:17.67% B:0.47%)
Conf.: ±0.0044 (-0.8615...-0.8528) - [0.0%]
Duration: 22.4 seconds
1 41472 Games rolled with Variance Reduction.
Dice Seed: 56176183
Moves: 3-ply, cube decisions: XG Roller

2 1296 Games rolled with Variance Reduction.
Dice Seed: 56176183
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.10, MET: Kazaross XG2

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