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Example of large equitiy difference beteween 4-ply analysis and rollout

Posted By: leobueno
Date: Thursday, 4 August 2011, at 7:55 p.m.

In Response To: Example of large equitiy difference beteween 4-ply analysis and rollout (Timothy Chow)

In the position Tim suggested and discussed [ http://www.bgonline.org/forums/webbbs_config.pl?noframes;read=55995 ](Robertie Problem 101), my 4-ply analysis shows a much narrower difference than Tim's 2-ply analysis. The rollout shows the reveral between the top 2 candiadates.

The equity swing between the 4-ply analysis and the rollout is of whopper magnitute, 0.132. I am trying to learn how to identify those types of positions. I think the dicussion pointed to volatility.

Have you seen positions that beat that swing number?

The score (after 0 games) is: gnubg 0, leo 0

Move number 3: leo to play 56

gnubg127


2O2X2X2X2X2X ' ' ' ' '4O

2X ' '2O2O3O '1O '1O '3X

leo154

Position ID: tm3AATDYTuIBMA Match ID: cIkaAAAAAAAA

• leo moves 13/8 13/7

Cube decision
4-ply cubeless equity -0.196
0.449 0.143 0.006 - 0.551 0.226 0.018
Cubeful equities:
4-ply cubeful prune
1.No double -0.237
2.Double, pass +1.000 +1.237
3.Double, take -0.758 -0.521
Proper cube action:No double, take (29.6%)

Alert: doubtful move ( -0.033)

# Ply Move Equity
1 4 13/8 10/4 -0.421
0.403 0.135 0.005 - 0.597 0.218 0.017
4-ply cubeful prune
2 4 13/8 13/7 -0.455 ( -0.033)
0.412 0.116 0.004 - 0.588 0.282 0.035
4-ply cubeful prune
3 4 24/18 13/8 -0.624 ( -0.203)
0.407 0.115 0.004 - 0.593 0.364 0.020
4-ply cubeful prune
4 4 24/13 -0.738 ( -0.316)
0.383 0.101 0.004 - 0.617 0.355 0.014
4-ply cubeful prune
5 4 13/7 10/5 -0.837 ( -0.416)
0.354 0.105 0.004 - 0.646 0.317 0.041
4-ply cubeful prune
6 4 10/4 8/3 -0.893 ( -0.472)
0.331 0.098 0.003 - 0.669 0.290 0.031
4-ply cubeful prune
7 4 10/5 8/2 -0.919 ( -0.498)
0.320 0.096 0.003 - 0.680 0.280 0.028
4-ply cubeful prune
8 4 24/18 10/5 -1.000 ( -0.579)
0.338 0.101 0.004 - 0.662 0.426 0.027
4-ply cubeful prune

The score (after 0 games) is: gnubg 0, leo 0

Move number 3: leo to play 56

gnubg127


2O2X2X2X2X2X ' ' ' ' '4O

2X ' '2O2O3O '1O '1O '3X

leo154

Position ID: tm3AATDYTuIBMA Match ID: cIkaAAAAAAAA

• leo moves 13/8 13/7

Cube decision
4-ply cubeless equity -0.196
0.449 0.143 0.006 - 0.551 0.226 0.018
Cubeful equities:
4-ply cubeful prune
1.No double -0.237
2.Double, pass +1.000 +1.237
3.Double, take -0.758 -0.521
Proper cube action:No double, take (29.6%)

# Ply Move Equity
1 R 13/8 13/7 -0.341
0.4240.1020.005-0.5760.2720.034 -0.350 -0.341
0.0020.0010.000-0.0020.0020.001 0.006 0.017
Full cubeful rollout with var.redn.
1304 games, Mersenne Twister dice gen. with seed 923908415 and quasi-random dice
Stop when best play is enough JSDs ahead: limit 4 (min. 1296 games)
Play: supremo 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 16 more moves within equity 0.32
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]
2 R 13/8 10/4 -0.440 ( -0.099)
0.3970.1210.005-0.6030.2180.017 -0.316 -0.440
0.0020.0010.000-0.0020.0020.001 0.004 0.012
Full cubeful rollout with var.redn.
1300 games, Mersenne Twister dice gen. with seed 923908415 and quasi-random dice
Stop when best play is enough JSDs ahead: limit 4 (min. 1296 games)
Play: supremo 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 16 more moves within equity 0.32
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]
3 4 24/18 13/8 -0.624 ( -0.283)
0.407 0.115 0.004 - 0.593 0.364 0.020
4-ply cubeful prune
4 4 24/13 -0.738 ( -0.396)
0.383 0.101 0.004 - 0.617 0.355 0.014
4-ply cubeful prune
5 4 13/7 10/5 -0.837 ( -0.496)
0.354 0.105 0.004 - 0.646 0.317 0.041
4-ply cubeful prune
6 4 10/4 8/3 -0.893 ( -0.552)
0.331 0.098 0.003 - 0.669 0.290 0.031
4-ply cubeful prune
7 4 10/5 8/2 -0.919 ( -0.578)
0.320 0.096 0.003 - 0.680 0.280 0.028
4-ply cubeful prune
8 4 24/18 10/5 -1.000 ( -0.659)
0.338 0.101 0.004 - 0.662 0.426 0.027
4-ply cubeful prune

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