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Crawford...Golden point -- ROLLOUT and VARIANTS

Posted By: Nack Ballard
Date: Thursday, 16 November 2017, at 6:43 a.m.

In Response To: Sacrificing 0.054 equity at Crawford for the goldenpoint, justified, criteria? (Max Levenstein)





White is Player 2

score: 0
pip: 144
5 point match
Crawford
pip: 191
score: 4

Blue is Player 1
XGID=-----aD-CA--dCa--cae--A-BA:0:0:1:54:4:0:1:5:10

Original position


1.Rollout1Bar/20 22/18* eq: -0.118
Player:
Opponent:
45.50% (G:12.61% B:1.26%)
54.50% (G:20.43% B:1.08%)
Conf.: ± 0.007 (-0.125...-0.111) - [100.0%]
Duration: 13 minutes 04 seconds
2.Rollout1Bar/20 24/20eq: -0.170 (-0.051)
Player:
Opponent:
42.91% (G:10.24% B:0.96%)
57.09% (G:22.43% B:0.88%)
Conf.: ± 0.006 (-0.176...-0.163) - [0.0%]
Duration: 10 minutes 46 seconds
3.Rollout1Bar/20 9/5* eq: -0.188 (-0.070)
Player:
Opponent:
42.52% (G:10.10% B:1.23%)
57.48% (G:24.88% B:1.68%)
Conf.: ± 0.007 (-0.194...-0.181) - [0.0%]
Duration: 11 minutes 28 seconds
1 1296 Games rolled with Variance Reduction.
Dice Seed: 13417452
Moves: 3-ply, cube decisions: XG Roller


Give white another point in his board and see how that changes it. Seems like a one point board, with one white checker threatening to escape are the main drivers here.

I assume you mean something like Variant 1. See rollout below.






White is Player 2

score: 0
pip: 140
5 point match
Crawford
pip: 191
score: 4

Blue is Player 1
XGID=-----aD-CA--dCa--cac-bA-BA:0:0:1:54:4:0:1:5:10

Variant 1 (White owns 4pt)


1.Rollout1Bar/20 22/18* eq: -0.260
Player:
Opponent:
39.18% (G:8.32% B:0.99%)
60.82% (G:27.60% B:1.98%)
Conf.: ± 0.004 (-0.264...-0.256) - [100.0%]
Duration: 1 hour 06 minutes
2.Rollout1Bar/20 24/20eq: -0.287 (-0.027)
Player:
Opponent:
37.32% (G:6.24% B:0.55%)
62.68% (G:26.38% B:1.07%)
Conf.: ± 0.003 (-0.290...-0.284) - [0.0%]
Duration: 55 minutes 05 seconds
3.Rollout2Bar/20 9/5* eq: -0.333 (-0.073)
Player:
Opponent:
36.18% (G:6.67% B:0.53%)
63.82% (G:31.73% B:2.88%)
Conf.: ± 0.007 (-0.340...-0.326) - [0.0%]
Duration: 17 minutes 27 seconds
1 5184 Games rolled with Variance Reduction.
Dice Seed: 13417452
Moves: 3-ply, cube decisions: XG Roller

2 1296 Games rolled with Variance Reduction.
Dice Seed: 13417452
Moves: 3-ply, cube decisions: XG Roller


As shown above, it is still right to hit on the 18pt, but the margin is reduced from .051 (original 4pt-less position) to .027. Incidentally, even at Gammon Save, hitting is right (by .011, 5k rollout not shown).

There are two subvariants below (side-by-side if your window is wide) that stem off the 4pt variant. In the first, Blue's roll has been changed to 52. In the second, Blue's roll is still 54 but White's blot has been moved from her 7pt to her 9pt. In both cases, Blue should anchor on the 20pt.

Nack





White is Player 2

score: 0
pip: 140
5 point match
Crawford
pip: 191
score: 4

Blue is Player 1
XGID=-----aD-CA--dCa--cac-bA-BA:0:0:1:52:4:0:1:5:10

Subvariant 1a (Roll changed to 52)


1.Rollout1Bar/20 22/20eq: -0.265
Player:
Opponent:
38.51% (G:6.56% B:0.61%)
61.49% (G:24.73% B:1.41%)
Conf.: ± 0.003 (-0.268...-0.262) - [100.0%]
Duration: 48 minutes 40 seconds
2.Rollout1Bar/18* eq: -0.284 (-0.019)
Player:
Opponent:
38.20% (G:7.70% B:1.04%)
61.80% (G:29.52% B:2.23%)
Conf.: ± 0.004 (-0.287...-0.280) - [0.0%]
Duration: 59 minutes 55 seconds
1 5184 Games rolled with Variance Reduction.
Dice Seed: 13417452
Moves: 3-ply, cube decisions: XG Roller




White is Player 2

score: 0
pip: 142
5 point match
Crawford
pip: 191
score: 4

Blue is Player 1
XGID=-----aD-CA--dCa-ac-c-bA-BA:0:0:1:54:4:0:1:5:10

Subvariant 1b (White's 7pt blot moved to 9pt)


1.Rollout1Bar/20 24/20eq: -0.250
Player:
Opponent:
39.14% (G:7.45% B:0.89%)
60.86% (G:25.98% B:1.13%)
Conf.: ± 0.003 (-0.253...-0.247) - [100.0%]
Duration: 1 hour 21 minutes
2.Rollout1Bar/16* eq: -0.267 (-0.017)
Player:
Opponent:
38.88% (G:8.77% B:1.31%)
61.12% (G:27.70% B:2.11%)
Conf.: ± 0.004 (-0.271...-0.264) - [0.0%]
Duration: 1 hour 31 minutes
3.Rollout2Bar/20 9/5* eq: -0.303 (-0.053)
Player:
Opponent:
37.61% (G:7.38% B:0.95%)
62.39% (G:31.55% B:2.80%)
Conf.: ± 0.005 (-0.309...-0.298) - [0.0%]
Duration: 48 minutes 36 seconds
1 5184 Games rolled with Variance Reduction.
Dice Seed: 13417452
Moves: 3-ply, cube decisions: XG Roller

2 2592 Games rolled with Variance Reduction.
Dice Seed: 13417452
Moves: 3-ply, cube decisions: XG Roller

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