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PotD 11-22-23 - Unstack Duplication, Variants and ROLLOUTS

Posted By: Nack Ballard
Date: Thursday, 21 December 2023, at 6:22 a.m.

In Response To: Position of the Day 11-22-23 - Exception? - Rollout (Stick)





White is Player 2

score: 0
pip: 177
Unlimited Game
Jacoby Beaver
pip: 131
score: 0

Blue is Player 1
XGID=-dBB-BBB----aC---cbe-A---A:1:-1:1:65:0:0:3:0:10
Original: Tall 6pt, short 8pt

1.Rollout1Bar/14eq: +0.986
Player:
Opponent:
79.18% (G:44.60% B:7.01%)
20.82% (G:2.77% B:0.13%)
Conf.: ± 0.005 (+0.981...+0.991) - [90.7%]
Duration: 14 minutes 29 seconds
2.Rollout1Bar/20 21/15eq: +0.981 (-0.005)
Player:
Opponent:
79.18% (G:44.29% B:6.87%)
20.82% (G:2.63% B:0.14%)
Conf.: ± 0.005 (+0.976...+0.986) - [9.3%]
Duration: 14 minutes 56 seconds
1 5184 Games rolled with Variance Reduction.
Dice Seed: 93201754
Moves: 3-ply, cube decisions: XG Roller

Stick's rollout of the original position is above.

In Variant 1 below, the opponent has the opposite (less common) 6pt/8pt distribution.

In Variant 2 (bottom), White has an equal number of checkers on the 8pt and 6pt.

This demonstrates the effect of what I call the "unstack duplication" theme (though the triplication of 3s is also of note in this set of positions). In the original position (above), 20/14 duplicates 13/11* and the unstacking 6/4*. In Variant 1 (below), 21/15 duplicates 13/10* and the unstacking 8/5*.

"Unstack duplication" is often a factor in various decisions of which 6 to run.

Nack





White is Player 2

score: 0
pip: 181
Unlimited Game
Jacoby Beaver
pip: 131
score: 0

Blue is Player 1
XGID=-dBB-BBB----aC---ebc-A---A:1:-1:1:65:0:0:3:0:10
Variant 1: Short 6pt, tall 8pt

1.Rollout1Bar/20 21/15eq: +0.961
Player:
Opponent:
78.79% (G:43.55% B:6.32%)
21.21% (G:2.60% B:0.13%)
Conf.: ± 0.007 (+0.954...+0.968) - [98.4%]
Duration: 36 minutes 32 seconds
2.Rollout1Bar/14eq: +0.950 (-0.011)
Player:
Opponent:
78.01% (G:43.98% B:6.94%)
21.99% (G:2.84% B:0.15%)
Conf.: ± 0.007 (+0.943...+0.958) - [1.6%]
Duration: 36 minutes 24 seconds
1 2592 Games rolled with Variance Reduction.
Dice Seed: 52998702
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.10





White is Player 2

score: 0
pip: 179
Unlimited Game
Jacoby Beaver
pip: 131
score: 0

Blue is Player 1
XGID=-dBB-BBB----aC---dbd-A---A:1:-1:1:65:0:0:3:0:10
Variant 2: 6pt and 8pt are equal height

1.Rollout1Bar/20 21/15eq: +0.960
Player:
Opponent:
78.60% (G:43.75% B:6.60%)
21.40% (G:2.71% B:0.15%)
Conf.: ± 0.005 (+0.955...+0.965) - [75.8%]
Duration: 39 minutes 48 seconds
2.Rollout1Bar/14eq: +0.958 (-0.003)
Player:
Opponent:
78.49% (G:43.78% B:6.67%)
21.51% (G:2.86% B:0.16%)
Conf.: ± 0.005 (+0.953...+0.963) - [24.2%]
Duration: 39 minutes 51 seconds
1 5184 Games rolled with Variance Reduction.
Dice Seed: 40548372
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.10

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