GnuBG speaks...
Spoiler
Sorry for leading some players to the wrong move! 13/10 2/1 is equal or best when it comes to winning the game, but 13/12 13/10 wins more gammons. In hindsight, it makes sense. The extra crossover from 13/12 means we can start the bear-off sooner, plus a small effect of a spare on the twopoint instead of the onepoint helping a bit. The fact that 13/12 13/10 does not lose more often despite extra shots, is probably becauser the clean-up next turn is easier and again, the tiny bit of flexibility gained by keeping the spare on 2 creating just a little bit of extra safety.
Anyhow it's a close call between these two; only the 13/9 move has no real advantages over the other moves and is an error.
1. Rollout 13/12 13/10 Eq.: +1,5524
88,83 54,94 0,60 - 11,17 1,20 0,06 CL +1,5767 CF +1,5524
[ 0,09 0,17 0,04 - 0,09 0,08 0,03 CL 0,0032 CF 0,0035]
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 866958214 and quasi-random dice
Play: 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 12 more moves within equity 0,16
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]
2. Rollout 13/10 2/1 Eq.: +1,5360 ( -0,0163)
88,91 53,81 0,48 - 11,09 1,17 0,04 CL +1,5599 CF +1,5360
[ 0,09 0,17 0,03 - 0,09 0,09 0,01 CL 0,0033 CF 0,0036]
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 866958214 and quasi-random dice
Play: 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 12 more moves within equity 0,16
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]
3. Rollout 13/9 Eq.: +1,5174 ( -0,0350)
88,41 53,52 0,55 - 11,59 1,40 0,05 CL +1,5452 CF +1,5174
[ 0,12 0,25 0,04 - 0,12 0,13 0,03 CL 0,0045 CF 0,0050]
Full cubeful rollout with var.redn.
648 games, Mersenne Twister dice gen. with seed 866958214 and quasi-random dice
Play: 2-ply cubeful prune [world class]
keep the first 0 0-ply moves and up to 12 more moves within equity 0,16
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]