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Post ace-point bearoff

Posted By: Daniel Murphy
Date: Friday, 5 November 2010, at 4:03 p.m.

In Response To: Post ace-point bearoff (Bob Koca)

Bob wrote: It leaves you even and can cost a roll with 61 62 63 51 52 53 41 42 43 so I wonder about your not slowing down the bearoff comment. Or do you agressively take off two with those rolls?

Aye, after 5/3 5/2, if Opp is still on the bar, all those rolls should be played taking two checkers off for a total of five off. So they don't cost a roll, but do leave some shots.

On the other hand, after 3/off 3/1, if Opp is still on the bar, 32 and 31 take a fifth checker off but also leave a blot, and 3-3 takes none off (for a total of four off) instead of three off (for a total of six), so it loses a roll.

Justin posted some rollouts varying the number of checkers Opponent has off. Below are some rollouts in which Opp has 10 checkers off, with Player's checkers off varying:

Blue has 2 checkers off before the roll. Blue to play 23

White29


4X ' ' ' ' ' ' ' ' ' ' '

5O2O2O2O2O ' ' ' ' ' ' '

Blue33

Position ID: DwAA0LdtAAAAAA Match ID: UQkNAAAAAAAA

# Ply Move Equity
1 R 5/off -0.4151
0.25210.00000.0000-0.74790.00000.0000 -0.4959 -0.4151
0.00030.00000.0000-0.00030.00000.0000 0.0005 0.0009
Full cubeful rollout with var.redn.
2592 games, Mersenne Twister dice gen. with seed 905656385 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]
2 R 3/1 3/off -0.4232 ( -0.0081)
0.25130.00000.0000-0.74870.00000.0000 -0.4975 -0.4232
0.00030.00000.0000-0.00030.00000.0000 0.0006 0.0009
Full cubeful rollout with var.redn.
2592 games, Mersenne Twister dice gen. with seed 905656385 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]
3 R 5/3 5/2 -0.5130 ( -0.0979)
0.21140.00000.0000-0.78860.00000.0000 -0.5773 -0.5130
0.00040.00000.0000-0.00040.00000.0000 0.0008 0.0011
Full cubeful rollout with var.redn.
2592 games, Mersenne Twister dice gen. with seed 905656385 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]

Blue has 3 checkers off before the roll. Blue to play 23

White29


4X ' ' ' ' ' ' ' ' ' ' '

4O2O2O2O2O ' ' ' ' ' ' '

Blue32

Position ID: DwAA0Ns2AAAAAA Match ID: UQkNAAAAAAAA

# Ply Move Equity
1 R 5/3 5/2 -0.1988
0.33920.00000.0000-0.66080.00000.0000 -0.3215 -0.1988
0.00040.00000.0000-0.00040.00000.0000 0.0008 0.0015
Full cubeful rollout with var.redn.
2592 games, Mersenne Twister dice gen. with seed 905656385 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]
2 R 3/1 3/off -0.2233 ( -0.0245)
0.33680.00000.0000-0.66320.00000.0000 -0.3264 -0.2233
0.00030.00000.0000-0.00030.00000.0000 0.0007 0.0011
Full cubeful rollout with var.redn.
2592 games, Mersenne Twister dice gen. with seed 905656385 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]

Blue has 4 checkers off before the roll. Blue to play 23

White29


4X ' ' ' ' ' ' ' ' ' ' '

3O2O2O2O2O ' ' ' ' ' ' '

Blue31

Position ID: DwAA0G0bAAAAAA Match ID: UQkNAAAAAAAA

# Ply Move Equity
1 R 3/1 3/off +0.0679
0.46110.00000.0000-0.53890.00000.0000 -0.0777 +0.0679
0.00040.00000.0000-0.00040.00000.0000 0.0007 0.0012
Full cubeful rollout with var.redn.
2592 games, Mersenne Twister dice gen. with seed 905656385 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]
2 R 5/off -0.0127 ( -0.0806)
0.41780.00000.0000-0.58220.00000.0000 -0.1644 -0.0127
0.00030.00000.0000-0.00030.00000.0000 0.0006 0.0010
Full cubeful rollout with var.redn.
2592 games, Mersenne Twister dice gen. with seed 905656385 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]

Blue has 5 checkers off before the roll. Blue to play 23

White29


4X ' ' ' ' ' ' ' ' ' ' '

2O2O2O2O2O ' ' ' ' ' ' '

Blue30

Position ID: DwAA0LYNAAAAAA Match ID: UQkNAAAAAAAA

# Ply Move Equity
1 R 3/1 3/off +0.3605
0.57370.00000.0000-0.42630.00000.0000 +0.1474 +0.3605
0.00040.00000.0000-0.00040.00000.0000 0.0008 0.0018
Full cubeful rollout with var.redn.
2592 games, Mersenne Twister dice gen. with seed 905656385 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]
2 R 5/3 5/2 +0.3006 ( -0.0599)
0.55280.00000.0000-0.44720.00000.0000 +0.1057 +0.3006
0.00030.00000.0000-0.00030.00000.0000 0.0005 0.0012
Full cubeful rollout with var.redn.
2592 games, Mersenne Twister dice gen. with seed 905656385 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]

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