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Contact bearoff is not so easy

Posted By: Daniel Murphy
Date: Sunday, 3 June 2012, at 4:33 a.m.

In Response To: Contact bearoff is not so easy (Taper_Mike)

Thanks Mike for the money game rollouts of the alternate, money game, end-game reference positions with White holding the cube.

Here are six similar also money game rollouts with Blue holding the cube. Since Blue is on roll, the figures of interest are those for No Double.

(A)

White57

2X2X2X3X3X3X ' ' ' ' ' '

1O3O ' ' ' ' ' ' ' ' ' '
Blue32
Position ID: 2+4OAAAdAAAQAA Match ID: UQkAAAAAAAAE

Alert: wrong double ( -0.2005)! [very bad]

Cube decision
Rollout cubeless equity +0.2474
Cubeful equities:
1.No double +0.4242
2.Double, pass +1.0000 +0.5758
3.Double, take +0.2237 -0.2005
Proper cube action:No redouble, take (25.8%)
Rollout details
WinW gW bg LoseL gL bgCubelessCubeful
Player Blue owns 2-cube0.62370.00000.0000-0.37630.00000.0000 +0.2474 +0.4242
Standard error0.00120.00000.0000-0.00120.00000.0000 0.0023 0.0040
Player White owns 4-cube0.62450.00000.0000-0.37550.00000.0000 +0.4981 +0.2237
Standard error0.00120.00000.0000-0.00120.00000.0000 0.0048 0.0084
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 921275339 and quasi-random dice
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]

(B)

White57

2X2X2X3X3X3X ' ' ' ' ' '

 '3O1O ' ' ' ' ' ' ' ' '
Blue34
Position ID: 2+4OAAAuAAAQAA Match ID: UQkAAAAAAAAE

Alert: wrong double ( -0.2863)! [very bad]

Cube decision
Rollout cubeless equity +0.1728
Cubeful equities:
1.No double +0.3497
2.Double, pass +1.0000 +0.6503
3.Double, take +0.0634 -0.2863
Proper cube action:No redouble, take (30.6%)
Rollout details
WinW gW bg LoseL gL bgCubelessCubeful
Player Blue owns 2-cube0.58640.00000.0000-0.41360.00000.0000 +0.1728 +0.3497
Standard error0.00110.00000.0000-0.00110.00000.0000 0.0021 0.0034
Player White owns 4-cube0.58860.00000.0000-0.41140.00000.0000 +0.3546 +0.0634
Standard error0.00110.00000.0000-0.00110.00000.0000 0.0045 0.0076
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 921166317 and quasi-random dice
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]

(C)

White57

2X2X2X3X3X3X ' ' ' ' ' '

 '3O ' ' ' ' ' ' ' ' ' '
Blue56
Position ID: 2+4OAAAOAAAYAA Match ID: UQkAAAAAAAAE

Alert: wrong double ( -1.3440)! [very bad]

Cube decision
Rollout cubeless equity -0.7059
Cubeful equities:
1.No double -0.6560
2.Double, pass +1.0000 +1.6560
3.Double, take -2.0000 -1.3440
Proper cube action:No redouble, beaver (44.8%)
Rollout details
WinW gW bg LoseL gL bgCubelessCubeful
Player Blue owns 2-cube0.14700.00000.0000-0.85300.00000.0000 -0.7059 -0.6560
Standard error0.00090.00000.0000-0.00090.00000.0000 0.0018 0.0024
Player White owns 4-cube0.16320.00000.0000-0.83680.00000.0000 -1.3474 -2.0000
Standard error0.00000.00000.0000-0.00000.00000.0000 0.0000 0.0000
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 921166317 and quasi-random dice
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]

(D)

White57

2X2X2X3X3X3X ' ' ' ' ' '

1O2O ' ' ' ' ' ' ' ' ' '
Blue30
Position ID: 2+4OAAANAAAIAA Match ID: UQkAAAAAAAAE

Alert: wrong double ( -0.0879)! [very bad]

Cube decision
Rollout cubeless equity +0.3704
Cubeful equities:
1.No double +0.5919
2.Double, pass +1.0000 +0.4081
3.Double, take +0.5040 -0.0879
Proper cube action:No redouble, take (17.7%)
Rollout details
WinW gW bg LoseL gL bgCubelessCubeful
Player Blue owns 2-cube0.68520.00000.0000-0.31480.00000.0000 +0.3704 +0.5919
Standard error0.00140.00000.0000-0.00140.00000.0000 0.0029 0.0068
Player White owns 4-cube0.68520.00000.0000-0.31480.00000.0000 +0.7406 +0.5040
Standard error0.00150.00000.0000-0.00150.00000.0000 0.0058 0.0093
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 921166317 and quasi-random dice
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]

(E)

White57

2X2X2X3X3X3X ' ' ' ' ' '

 '2O ' '1O ' ' ' ' ' ' '
Blue34
Position ID: 2+4OAABGAAAIAA Match ID: UQkAAAAAAAAE

Alert: wrong double ( -0.1657)! [very bad]

Cube decision
Rollout cubeless equity +0.2858
Cubeful equities:
1.No double +0.4824
2.Double, pass +1.0000 +0.5176
3.Double, take +0.3167 -0.1657
Proper cube action:No redouble, take (24.2%)
Rollout details
WinW gW bg LoseL gL bgCubelessCubeful
Player Blue owns 2-cube0.64290.00000.0000-0.35710.00000.0000 +0.2858 +0.4824
Standard error0.00130.00000.0000-0.00130.00000.0000 0.0026 0.0054
Player White owns 4-cube0.64260.00000.0000-0.35740.00000.0000 +0.5703 +0.3167
Standard error0.00140.00000.0000-0.00140.00000.0000 0.0056 0.0085
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 921166317 and quasi-random dice
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]

(F)

White57

2X2X2X3X3X3X ' ' ' ' ' '

 '2O ' ' ' ' ' ' ' ' ' '
Blue54
Position ID: 2+4OAAAGAAAMAA Match ID: UQkAAAAAAAAE

Alert: wrong double ( -1.6224)! [very bad]

Cube decision
Rollout cubeless equity -0.6064
Cubeful equities:
1.No double -0.5408
2.Double, pass +1.0000 +1.5408
3.Double, take -2.1632 -1.6224
Proper cube action:No redouble, take (51.3%)
Rollout details
WinW gW bg LoseL gL bgCubelessCubeful
Player Blue owns 2-cube0.19680.00000.0000-0.80320.00000.0000 -0.6064 -0.5408
Standard error0.00090.00000.0000-0.00090.00000.0000 0.0018 0.0024
Player White owns 4-cube0.19680.00000.0000-0.80320.00000.0000 -1.2127 -2.1632
Standard error0.00090.00000.0000-0.00090.00000.0000 0.0036 0.0096
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 921166317 and quasi-random dice
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]

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