Cube action, both sides on the roof

Redouble from the bar against a five point board? Is White crazy? Well, with Gnubg the position rolls out to a takable but clear money game redouble. In match play with the doubler trailing 7-away 6-away, it's a redouble and huge pass. But it's also a redouble at 7-away all and, most likely, a pass.

White	152

Blue	137
Position ID: `22YIAFbYZswBQQ` Match ID: `AQEgAyABkAAA`

White	152

Blue	137
Position ID: `22YIAFbYZswBQQ` Match ID: `AQEAAAAAAAAA`

Cube decision

Rollout cubeless equity

+0.5507

Cubeful equities:

Double, take

+0.9379

Double, pass

+1.0000

+0.0621

No double

+0.7631

-0.1748

Proper cube action:

Redouble, take

Rollout details

	Win	W g	W bg		Lose	L g	L bg	Cubeless	Cubeful
Player White owns 2-cube	0.7111	0.2642	0.0125	-	0.2889	0.1465	0.0015	+0.5507	+0.7631
Standard error	0.0018	0.0027	0.0008	-	0.0018	0.0015	0.0002	0.0054	0.0117
Player Blue owns 4-cube	0.7198	0.2721	0.0145	-	0.2802	0.1411	0.0020	+1.1658	+0.9379
Standard error	0.0018	0.0032	0.0008	-	0.0018	0.0015	0.0002	0.0113	0.0183

Full cubeful rollout with var.redn.

1187 games, Mersenne Twister dice gen. with seed 833754845 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]

Cube analysis
0-ply cubeless equity +0.6112
0.7389 0.2633 0.0124 - 0.2611 0.1390 0.0033
Cubeful equities:
1. Double, pass +1.0000
2. Double, take +1.0448 ( +0.0448)
3. No double +0.8624 ( -0.1376)
Proper cube action: Redouble, pass

Cube analysis
1-ply cubeless equity +0.7345
0.7665 0.3080 0.0142 - 0.2335 0.1185 0.0022
Cubeful equities:
1. Double, pass +1.0000
2. Double, take +1.3103 ( +0.3103)
3. No double +0.9359 ( -0.0641)
Proper cube action: Redouble, pass

Cube analysis
2-ply cubeless equity +0.5749
0.7252 0.2576 0.0120 - 0.2748 0.1416 0.0035
Cubeful equities:
1. Double, take +0.9630
2. Double, pass +1.0000 ( +0.0370)
3. No double +0.8025 ( -0.1605)
Proper cube action: Redouble, take

3-ply cubeless equity +0.6855
0.7513 0.2997 0.0127 - 0.2487 0.1269 0.0025
Cubeful equities:
1. Double, pass +1.0000
2. Double, take +1.2020 ( +0.2020)
3. No double +0.8811 ( -0.1189)
Proper cube action: Redouble, pass

4-ply cubeless equity +0.5450
0.7111 0.2603 0.0113 - 0.2889 0.1455 0.0033
Cubeful equities:
1. Double, take +0.8940
2. Double, pass +1.0000 ( +0.1060)
3. No double +0.7563 ( -0.1377)
Proper cube action: Redouble, take

Match play, White on roll. The score is: White 18, Blue 19 (match to 25 points)

White	152

Blue	137
Position ID: `22YIAFbYZswBQQ` Match ID: `AQEgAyABmAAA`

Cube decision

Rollout cubeless equity

+0.6499

(Money: +0.5963)

Cubeful equities:

Double, pass

+1.0000

Double, take

+1.3046

+0.3046

No double

+0.9656

-0.0344

Proper cube action:

Redouble, pass

Rollout details

	Win	W g	W bg		Lose	L g	L bg	Cubeless	Cubeful
Player White owns 2-cube	0.7203	0.2838	0.0273	-	0.2797	0.1439	0.0114	+0.6499	+0.9656
Standard error	0.0052	0.0068	0.0052	-	0.0052	0.0077	0.0066	0.0143	0.0267
Player Blue owns 4-cube	0.7200	0.2805	0.0530	-	0.2800	0.1542	0.0121	+1.3594	+1.3046
Standard error	0.0059	0.0084	0.0109	-	0.0059	0.0109	0.0067	0.0335	0.0368

Full cubeful rollout with var.redn.

144 games, Mersenne Twister dice gen. with seed 834497255 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]

2-ply cubeless equity +0.5921 (Money: +0.5760)
0.7252 0.2563 0.0116 - 0.2748 0.1391 0.0033
Cubeful equities:
1. Double, pass +1.0000
2. Double, take +1.2689 ( +0.2689)
3. No double +0.9075 ( -0.0925)
Proper cube action: Redouble, pass

3-ply cubeless equity +0.7134 (Money: +0.6925)
0.7535 0.3014 0.0126 - 0.2465 0.1260 0.0025
Cubeful equities:
1. No double +1.0103
2. Double, take +1.5014 ( +0.4911)
3. Double, pass +1.0000 ( -0.0103)
Proper cube action: Too good to redouble, pass (2.0%)

4-ply cubeless equity +0.5650 (Money: +0.5490)
0.7126 0.2607 0.0111 - 0.2874 0.1448 0.0033
Cubeful equities:
1. Double, pass +1.0000
2. Double, take +1.2175 ( +0.2175)
3. No double +0.8722 ( -0.1278)
Proper cube action: Redouble, pass

Match pay. White on roll. The score is: White 18, Blue 18 (match to 25 points)

White	152

Blue	137
Position ID: `22YIAFbYZswBQQ` Match ID: `AQEgAyABkAAA`

Cube decision

Rollout cubeless equity

+0.5894

(Money: +0.5808)

Cubeful equities:

Double, pass

+1.0000

Double, take

+1.0523

+0.0523

No double

+0.8475

-0.1525

Proper cube action:

Redouble, pass

Rollout details

	Win	W g	W bg		Lose	L g	L bg	Cubeless	Cubeful
Player White owns 2-cube	0.7207	0.2767	0.0172	-	0.2793	0.1535	0.0010	+0.5894	+0.8475
Standard error	0.0054	0.0066	0.0046	-	0.0054	0.0090	0.0010	0.0146	0.0233
Player Blue owns 4-cube	0.7206	0.2841	0.0522	-	0.2794	0.1832	0.0082	+1.1793	+1.0523
Standard error	0.0063	0.0082	0.0120	-	0.0063	0.0138	0.0052	0.0366	0.0418

Full cubeful rollout with var.redn.

114 games, Mersenne Twister dice gen. with seed 834497255 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]

Cube analysis
2-ply cubeless equity +0.5830 (Money: +0.5749)
0.7252 0.2576 0.0120 - 0.2748 0.1416 0.0035
Cubeful equities:
1. Double, pass +1.0000
2. Double, take +1.0445 ( +0.0445)
3. No double +0.8321 ( -0.1679)
Proper cube action: Redouble, pass

Cube analysis
3-ply cubeless equity +0.6972 (Money: +0.6855)
0.7513 0.2999 0.0127 - 0.2487 0.1272 0.0025
Cubeful equities:
1. Double, pass +1.0000
2. Double, take +1.2611 ( +0.2611)
3. No double +0.9104 ( -0.0896)
Proper cube action: Redouble, pass

Cube analysis
4-ply cubeless equity +0.5521 (Money: +0.5443)
0.7110 0.2601 0.0113 - 0.2890 0.1457 0.0034
Cubeful equities:
1. Double, take +0.9761
2. Double, pass +1.0000 ( +0.0239)
3. No double +0.7881 ( -0.1880)
Proper cube action: Redouble, take

Backgammon in the movies: "Maren wears an anti-charm bracelet made of chain, she has sex with Cahit as if wrestling a lightly oiled leopard, and the shot of the two of them playing nude backgammon afterward may be the best postcoital moment ever filmed." -- from Anthony Lane's review in The New Yorker Mar.14, 2005 of Fatih Akin's film Gegen die Wand, released in the USA as Head On.

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