An 0-ply vs. 2-ply example. The position is simple. 0-ply/0-ply and 2-ply/2-ply both say "Double/Pass." But there's a small but noticeable difference in the results. In short, 0-ply say D/T = 1.009, 2-ply says D/T = 1.020.
Is the difference important to you? Can you easily imagine there might be many similarly simple positions where the difference plies wouldn't agree on the cube decision? And/or where the difference in absolute equities was much larger?
Unlimited match. Blue on roll
| White | 38 |
|---|---|
| |
| Blue | 51 |
Position ID: 3wMAANp2NwAAAA Match ID: cAkAAFAACAAA | |
• Blue doubles
Annotation
Cube analysis
2-ply cubeless equity +0.5532
0.7766 0.0000 0.0000 - 0.2234 0.0000 0.0000
Cubeful equities:
1. Double, take +0.9628
2. Double, pass +1.0000 ( +0.0372)
3. No double +0.8666 ( -0.0962)
Proper cube action: Double, take
Cube analysis
Rollout cubeless equity +0.5557
Cubeful equities:
1. Double, pass +1.0000
2. Double, take +1.0087 ( +0.0087)
3. No double +0.8726 ( -0.1274)
Proper cube action: Double, pass
Rollout details:
Centered 1-cube:
0.7779 0.0000 0.0000 - 0.2221 0.0000 0.0000 CL +0.5557 CF +0.8726
[0.0004 0.0000 0.0000 - 0.0004 0.0000 0.0000 CL 0.0009 CF 0.0032]
Player White owns 2-cube:
0.7829 0.0000 0.0000 - 0.2171 0.0000 0.0000 CL +1.1315 CF +1.0087
[0.0007 0.0000 0.0000 - 0.0007 0.0000 0.0000 CL 0.0028 CF 0.0044]
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 999999999 and quasi-random dice
Play: 0-ply cubeful [expert]
Cube: 0-ply cubeful [expert]
Cube analysis
Rollout cubeless equity +0.5520
Cubeful equities:
1. Double, pass +1.0000
2. Double, take +1.0204 ( +0.0204)
3. No double +0.8800 ( -0.1200)
Proper cube action: Double, pass
Rollout details:
Centered 1-cube:
0.7760 0.0000 0.0000 - 0.2240 0.0000 0.0000 CL +0.5520 CF +0.8800
[0.0003 0.0000 0.0000 - 0.0003 0.0000 0.0000 CL 0.0006 CF 0.0011]
Player White owns 2-cube:
0.7846 0.0000 0.0000 - 0.2154 0.0000 0.0000 CL +1.1385 CF +1.0204
[0.0004 0.0000 0.0000 - 0.0004 0.0000 0.0000 CL 0.0017 CF 0.0025]
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 999999999 and quasi-random dice
Play: world class 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 8 more moves within equity 0.16
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]