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Advanced Backgammon part 24B ROLLOUT

Posted By: Matt Cohn-Geier
Date: Sunday, 28 June 2009, at 3:14 a.m.

In Response To: Advanced Backgammon part 24B (Matt Cohn-Geier)

Position 234:

As Robertie notes, playing 7/2 preserves a playable 4. That pays off in the variation where White preserves his board (e.g. with 66, 61, etc.), and then Blue rolls one of his few 4s (in this case, 41 or 64).

7/3 6/5 is more flexible in most other variations, so it gets the nod.

Move number 5: Blue to play 14

White179


1X2X '2X2X2X ' ' ' ' ' '

6X2O3O2O2O3O3O ' ' ' ' '

Blue70

Position ID: zTYAAD922x0AAA Match ID: QYkQAAAAAAAA

• Blue moves 7/2

# Ply Move Equity
1 R 7/3 6/5 +1.6190
0.90390.72150.1351-0.09610.00030.0000 +1.6640 +1.6190
0.00100.00130.0015-0.00100.00010.0000 0.0029 0.0035
Full cubeful rollout with var.redn.
4969 games, Mersenne Twister dice gen. with seed 814438704 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 0.2
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]
2 R 7/2 +1.6030 ( -0.0160)
0.90060.71660.1312-0.09940.00030.0000 +1.6488 +1.6030
0.00100.00120.0014-0.00100.00010.0000 0.0029 0.0034
Full cubeful rollout with var.redn.
4969 games, Mersenne Twister dice gen. with seed 814438704 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 0.2
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]

Position 235:

Again, 6/3 is way too inflexible to be right. The alternative that Robertie looks at is 7/6 7/5, preparing to clear. This "big mistake" is better than Robertie's play but best is just 7/4 which maintains both flex and playable numbers.

Move number 5: Blue to play 12

White120


1X2X2X2X2X2X1X ' ' ' ' '

3X2O2O2O2O3O4O ' ' ' ' '

Blue74

Position ID: bdsCADi27R4AAA Match ID: QYkIAAAAAAAA

• Blue moves 6/3

# Ply Move Equity
1 R 7/4 +1.1512
0.92850.30520.0173-0.07150.00040.0000 +1.1792 +1.1512
0.00090.00140.0005-0.00090.00010.0000 0.0021 0.0025
Full cubeful rollout with var.redn.
1530 games, Mersenne Twister dice gen. with seed 814354389 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 0.2
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]
2 R 7/6 7/5 +1.1395 ( -0.0117)
0.92370.30410.0177-0.07630.00040.0000 +1.1688 +1.1395
0.00100.00140.0005-0.00100.00010.0000 0.0022 0.0026
Full cubeful rollout with var.redn.
1530 games, Mersenne Twister dice gen. with seed 814354389 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 0.2
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]
3 R 6/3 +1.1291 ( -0.0220)
0.92190.29860.0165-0.07810.00040.0000 +1.1585 +1.1291
0.00100.00150.0005-0.00100.00010.0000 0.0023 0.0028
Full cubeful rollout with var.redn.
1295 games, Mersenne Twister dice gen. with seed 814354389 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 0.2
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]
4 R 7/5 6/5 +1.1225 ( -0.0287)
0.91870.30310.0166-0.08130.00080.0000 +1.1562 +1.1225
0.00100.00160.0006-0.00100.00020.0002 0.0024 0.0031
Full cubeful rollout with var.redn.
1295 games, Mersenne Twister dice gen. with seed 814354389 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 0.2
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]

Position 236:

Holding the prime, both preserving the race lead and trying to get White to crack, is much better than anything else. I'm not sure why 4/1 is better than 5/2 with the last one, but it doesn't make a huge difference.

Move number 6: Blue to play 33

White93


2X2X2X2X2X2X1X ' ' ' ' '

 ' '2X2O3O2O3O3O2O ' ' '

Blue98

Position ID: 27YFAAzY7W4AAA Match ID: QYkNAAAAAAAA

• Blue moves 8/2 7/1

# Ply Move Equity
1 R 8/2 7/1 +0.5593
0.79700.04200.0007-0.20300.00630.0001 +0.6303 +0.5593
0.00060.00080.0001-0.00060.00030.0000 0.0014 0.0018
Full cubeful rollout with var.redn.
2226 games, Mersenne Twister dice gen. with seed 814512777 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 0.2
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]
2 R 8/2 7/4 5/2 +0.5510 ( -0.0083)
0.79450.03760.0005-0.20550.00590.0000 +0.6211 +0.5510
0.00060.00070.0001-0.00060.00030.0000 0.0014 0.0018
Full cubeful rollout with var.redn.
2226 games, Mersenne Twister dice gen. with seed 814512777 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 0.2
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]
3 R 9/6(2) 8/5 7/4 +0.5057 ( -0.0536)
0.77730.03150.0003-0.22270.00410.0000 +0.5821 +0.5057
0.00090.00080.0001-0.00090.00040.0000 0.0020 0.0025
Full cubeful rollout with var.redn.
1295 games, Mersenne Twister dice gen. with seed 814512777 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 0.2
Skip pruning for 1-ply moves.
Cube: 2-ply cubeful prune [world class]

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