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Variants (floating 12pt checker)

Posted By: Nack Ballard
Date: Monday, 5 October 2015, at 8:07 p.m.

In Response To: Results XG ++ whats your play here? four (Konstantin)





White is Player 2

score: 0
pip: 149
Unlimited Game
Jacoby Beaver
pip: 160
score: 0

Blue is Player 1
XGID=---BbBDaB----ab--bbdBBA-a-:0:0:1:61:0:0:3:0:10
Blue to play 61

1.XG Roller++22/16 8/7* eq: +0,159
Player:
Opponent:
52,65% (G:15,58% B:0,63%)
47,35% (G:10,50% B:0,33%)
2.XG Roller++21/15 8/7* eq: +0,140 (-0,020)
Player:
Opponent:
52,18% (G:16,41% B:0,74%)
47,82% (G:11,71% B:0,45%)
3.2-ply21/15 6/5eq: +0,003 (-0,157)
Player:
Opponent:
49,43% (G:13,11% B:0,72%)
50,57% (G:11,36% B:0,38%)
4.2-ply22/15eq: -0,001 (-0,160)
Player:
Opponent:
49,02% (G:12,09% B:0,42%)
50,98% (G:9,33% B:0,20%)
5.2-ply22/16 6/5eq: -0,019 (-0,178)
Player:
Opponent:
48,74% (G:11,03% B:0,43%)
51,26% (G:9,31% B:0,19%)

The XGR++ evaluation of the original position (as posted by Konstatin) is copied above. Despite the usual suspicion of QF, it seems nobody had trouble seeing that X (hit-and-split, 22/16 8/7*) is Blue's best move. [I hope in the future that we can see a rollout for early game margins within .04 or so.]

White has a loose checker on her 12pt. What happens if we re-position it to one of the many points (including the 25pt/bar) that Blue does not already occupy? If we move it to White's 2pt, 6pt, 7pt, 8pt, 11pt, (12pt), 13pt, 14pt, 15pt, 24pt or 25pt, X is still the best play.

There are three points on which relocating White's 12pt blot creates a routine double-hit: her 9pt, 10pt and 23pt. (If White is on her 24pt, it is very close but Blue should not hit twice.)

There are four points on which relocating White's 12pt blot yields a different and instructive best play: her 16pt, 18pt, 21pt and (covering her) 1pt. See the rollouts below.

Nack





White is Player 2

score: 0
pip: 153
5 point match
pip: 160
score: 0

Blue is Player 1
XGID=---BbBDaBa----b--bbdBBA-a-:0:0:1:61:0:0:0:5:10

White checker on 16pt
¡V5¡V5 [x X11] "<=5


1.Rollout121/15 8/7* eq: +0.170
Player:
Opponent:
52.58% (G:17.92% B:0.86%)
47.42% (G:11.56% B:0.56%)
Conf.: ¡Ó 0.009 (+0.161...+0.179) - [96.8%]
Duration: 4 hours 16 minutes
2.Rollout122/16 8/7* eq: +0.159 (-0.011)
Player:
Opponent:
52.35% (G:16.97% B:0.78%)
47.65% (G:10.81% B:0.38%)
Conf.: ¡Ó 0.008 (+0.150...+0.167) - [3.2%]
Duration: 4 hours 08 minutes
 
1 5184 Games rolled with Variance Reduction.
Moves: 3-ply, cube decisions: XG Roller





White is Player 2

score: 0
pip: 155
5 point match
pip: 160
score: 0

Blue is Player 1
XGID=---BbBDbB-----b--bbdBBA-a-:0:0:1:61:0:0:0:5:10

White checker on 18pt
¡V5¡V5 [E=R e24 r29 iR43] "<=12*5


1.Rollout122/16 6/5eq: +0.112
Player:
Opponent:
51.88% (G:13.89% B:0.53%)
48.12% (G:9.57% B:0.34%)
Conf.: ¡Ó 0.005 (+0.107...+0.117) - [51.2%]
Duration: 10 hours 14 minutes
2.Rollout122/15eq: +0.112 (0.000)
Player:
Opponent:
51.76% (G:14.15% B:0.53%)
48.24% (G:9.59% B:0.33%)
Conf.: ¡Ó 0.005 (+0.107...+0.117) - [48.8%]
Duration: 10 hours 18 minutes
3.Rollout221/15 6/5eq: +0.088 (-0.024)
Player:
Opponent:
51.25% (G:15.37% B:0.61%)
48.75% (G:11.45% B:0.40%)
Conf.: ¡Ó 0.008 (+0.079...+0.096) - [0.0%]
Duration: 2 hours 24 minutes
4.Rollout221/20 21/15eq: +0.083 (-0.029)
Player:
Opponent:
50.82% (G:14.41% B:0.62%)
49.18% (G:9.92% B:0.35%)
Conf.: ¡Ó 0.008 (+0.075...+0.091) - [0.0%]
Duration: 2 hours 16 minutes
5.Rollout222/16 21/20eq: +0.069 (-0.043)
Player:
Opponent:
50.72% (G:13.51% B:0.51%)
49.28% (G:9.45% B:0.29%)
Conf.: ¡Ó 0.007 (+0.062...+0.076) - [0.0%]
Duration: 2 hours 25 minutes
 
1 12960 Games rolled with Variance Reduction.
Moves: 3-ply, cube decisions: XG Roller

2 5184 Games rolled with Variance Reduction.
Moves: 3-ply, cube decisions: XG Roller





White is Player 2

score: 0
pip: 158
5 point match
pip: 160
score: 0

Blue is Player 1
XGID=---BcBDaB-----b--bbdBBA-a-:0:0:1:61:0:0:0:5:10

White checker on 21pt
¡V5¡V5 [R E16 X34 e34 iR44] "<=5


1.Rollout122/15eq: +0.195
Player:
Opponent:
53.97% (G:14.51% B:0.55%)
46.03% (G:9.01% B:0.33%)
Conf.: ¡Ó 0.007 (+0.188...+0.202) - [99.9%]
Duration: 5 hours 25 minutes
2.Rollout122/16 6/5eq: +0.179 (-0.016)
Player:
Opponent:
53.62% (G:14.16% B:0.54%)
46.38% (G:9.35% B:0.36%)
Conf.: ¡Ó 0.007 (+0.171...+0.186) - [0.1%]
Duration: 5 hours 07 minutes
3.Rollout121/15 6/5eq: +0.161 (-0.034)
Player:
Opponent:
53.44% (G:14.87% B:0.63%)
46.56% (G:10.82% B:0.41%)
Conf.: ¡Ó 0.007 (+0.154...+0.168) - [0.0%]
Duration: 4 hours 23 minutes
4.Rollout122/16 8/7* eq: +0.161 (-0.034)
Player:
Opponent:
52.46% (G:17.19% B:0.80%)
47.54% (G:11.06% B:0.41%)
Conf.: ¡Ó 0.009 (+0.152...+0.169) - [0.0%]
Duration: 5 hours 49 minutes
5.Rollout121/20 21/15eq: +0.150 (-0.044)
Player:
Opponent:
52.94% (G:14.45% B:0.58%)
47.06% (G:9.82% B:0.32%)
Conf.: ¡Ó 0.007 (+0.143...+0.158) - [0.0%]
Duration: 4 hours 37 minutes
 
1 5184 Games rolled with Variance Reduction.
Moves: 3-ply, cube decisions: XG Roller





White is Player 2

score: 0
pip: 138
5 point match
pip: 160
score: 0

Blue is Player 1
XGID=---BbBDaB-----b--bbdBBA-b-:0:0:1:61:0:0:0:5:10

White checker on 1pt (covering)
¡V5¡V5 [R X7 E11] "<=10*5


1.Rollout122/15eq: -0.021
Player:
Opponent:
48.87% (G:12.17% B:0.43%)
51.13% (G:11.04% B:0.33%)
Conf.: ¡Ó 0.005 (-0.025...-0.016) - [97.0%]
Duration: 8 hours 15 minutes
2.Rollout122/16 8/7* eq: -0.028 (-0.007)
Player:
Opponent:
49.33% (G:13.69% B:0.61%)
50.67% (G:14.50% B:0.43%)
Conf.: ¡Ó 0.006 (-0.034...-0.022) - [2.7%]
Duration: 9 hours 12 minutes
3.Rollout222/16 6/5eq: -0.032 (-0.011)
Player:
Opponent:
48.52% (G:12.23% B:0.47%)
51.48% (G:11.01% B:0.27%)
Conf.: ¡Ó 0.006 (-0.039...-0.026) - [0.2%]
Duration: 3 hours 03 minutes
 
1 10368 Games rolled with Variance Reduction.
Moves: 3-ply, cube decisions: XG Roller

2 5184 Games rolled with Variance Reduction.
Moves: 3-ply, cube decisions: XG Roller

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