The rollout indicates that 20/15 20/14 and 15/10 14/8 are fairly close, but it's important to understand, as Dmitriy points out, that 15/10 14/8 is the play that wins more gammons while 20/15 20/14 wins more games. So at gammon go, which is the score at which I actually encountered this position, 15/10 14/8 is the standout play.
By the way, XG 3-ply and XG 4-ply both favor 20/15 20/14.

              
 
              
 | | White is Player 2
score: 0 pip: 111 | | Unlimited Game | pip: 118 score: 0
Blue is Player 1 | |
| XGID=-aBBBBB--A--b-AA-bccB--bb-:1:-1:1:65:0:0:0:0:10 |
| Blue to play 65 |
| 1. | Rollout1 | 15/10 14/8 | eq: +0.389 |
| Player: Opponent: | 67.73% (G:20.21% B:0.26%) 32.27% (G:4.09% B:0.08%) | Conf.: ± 0.006 (+0.383...+0.396) - [100.0%] Duration: 1 minute 42 seconds |
|
| 2. | Rollout1 | 20/15 20/14 | eq: +0.356 (-0.033) |
| Player: Opponent: | 68.65% (G:13.41% B:0.34%) 31.35% (G:4.10% B:0.07%) | Conf.: ± 0.007 (+0.350...+0.363) - [0.0%] Duration: 1 minute 49 seconds |
|
| 3. | Rollout1 | 15/9 14/9 | eq: +0.352 (-0.037) |
| Player: Opponent: | 66.77% (G:17.11% B:0.25%) 33.23% (G:3.25% B:0.08%) | Conf.: ± 0.006 (+0.346...+0.358) - [0.0%] Duration: 1 minute 28 seconds |
|
| 4. | Rollout1 | 15/4 | eq: +0.289 (-0.101) |
| Player: Opponent: | 63.65% (G:19.97% B:0.36%) 36.35% (G:5.02% B:0.12%) | Conf.: ± 0.007 (+0.281...+0.296) - [0.0%] Duration: 1 minute 30 seconds |
|
| 5. | Rollout1 | 14/3 | eq: +0.286 (-0.103) |
| Player: Opponent: | 63.39% (G:20.77% B:0.53%) 36.61% (G:5.23% B:0.13%) | Conf.: ± 0.008 (+0.278...+0.294) - [0.0%] Duration: 1 minute 29 seconds |
|
| 6. | Rollout1 | 15/10 9/3 | eq: +0.285 (-0.104) |
| Player: Opponent: | 63.41% (G:20.69% B:0.44%) 36.59% (G:5.24% B:0.11%) | Conf.: ± 0.007 (+0.278...+0.292) - [0.0%] Duration: 1 minute 33 seconds |
|
| 7. | Rollout1 | 14/8 9/4 | eq: +0.285 (-0.104) |
| Player: Opponent: | 63.26% (G:20.93% B:0.55%) 36.74% (G:5.13% B:0.13%) | Conf.: ± 0.007 (+0.278...+0.292) - [0.0%] Duration: 1 minute 26 seconds |
|
| |
1 1296 Games rolled with Variance Reduction. Dice Seed: 271828 Moves: 3-ply, cube decisions: XG Roller
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eXtreme Gammon Version: 2.19.211.pre-release