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4 Ply Rollouts

Posted By: Stick
Date: Saturday, 9 October 2010, at 4:07 a.m.

In Response To: RO using XGRoller+ (eXtreme Gammon)

This will be a long post because I'm posting all the rollouts + positions. Also, a couple of the positions I've included variations to show that the spares spread evenly across the highest points is far from the optimal position. For example, if you get to the coup classique and have a closed board this is obviously much worse than having a 6 prime with time to try to slot points and pick up the second checker. You are only 21.5% if you manage to close 1 checker out and the opponent's only remaining checker is on his ace point. However, if you a more optimal position with a 6 prime extending from the 9pt to the 3pt for example, your winning chances shoot up to over 50%! If you do manage to pick up and close out both checkers your win % is now 68%, reference rollouts also included at the end of this post.

This is also important if you ever have to play out the game. You should try playing some of these out to see how you should best go about picking up the second checker. For money you should beaver if your opponent has your one checker closed out and you already have 8 men off. The point of last take for money is when you have 5 checkers off.

The table below is a summary of one checker closed out at dmp according to XG 4 ply rollouts with X amount of checkers off for your opponent and assuming you have the 'perfect spare distribution' of 654.

Number Off Win Percentage
0 Off 98%
1 Off 96%
2 Off 94%
3 Off 90%
4 Off 85%
5 Off 78%
6 Off 70%
7 Off 61%
8 Off 51%
9 Off 42%
10 Off 32%
11 Off 24%
12 Off 17%
13 Off 22%
14 Off 8%

is Player 2

score: 0
pip: 46
1 point match
pip: 60
score: 0

is Player 1
XGID=aBBBBCCA---------------gg-:0:0:1:21:0:0:0:1:10
to play 21

1.Rollout17/4eq: +0.955
Player:
Opponent:
97.76% (G:4.65% B:0.05%)
2.24% (G:0.00% B:0.00%)
Conf: ± 0.000 (+0.955...+0.955)
Duration: 25.4 seconds
1 5184 Games rolled with Variance Reduction.
Dice Seed: 828585
Moves: 4 ply, cube decisions: 5 ply


is Player 2

score: 0
pip: 44
1 point match
pip: 60
score: 0

is Player 1
XGID=aBBBBCCA---------------fg-:0:0:1:21:0:0:0:1:10
to play 21

1.Rollout17/4eq: +0.915
Player:
Opponent:
95.74% (G:0.00% B:0.00%)
4.26% (G:0.00% B:0.00%)
Conf: ± 0.001 (+0.914...+0.916)
Duration: 38.7 seconds
1 5184 Games rolled with Variance Reduction.
Dice Seed: 52594344
Moves: 4 ply, cube decisions: 5 ply


is Player 2

score: 0
pip: 43
1 point match
pip: 60
score: 0

is Player 1
XGID=aBBBBCCA---------------ff-:0:0:1:21:0:0:0:1:10
to play 21

1.Rollout17/4eq: +0.873
Player:
Opponent:
93.63% (G:0.00% B:0.00%)
6.38% (G:0.00% B:0.00%)
Conf: ± 0.001 (+0.872...+0.874)
Duration: 32.5 seconds
1 5184 Games rolled with Variance Reduction.
Dice Seed: 24390711
Moves: 4 ply, cube decisions: 5 ply


is Player 2

score: 0
pip: 41
1 point match
pip: 60
score: 0

is Player 1
XGID=aBBBBCCA---------------ef-:0:0:1:21:0:0:0:1:10
to play 21

1.Rollout17/4eq: +0.791
Player:
Opponent:
89.55% (G:0.00% B:0.00%)
10.45% (G:0.00% B:0.00%)
Conf: ± 0.001 (+0.790...+0.792)
Duration: 46.0 seconds
1 5184 Games rolled with Variance Reduction.
Dice Seed: 26184277
Moves: 4 ply, cube decisions: 5 ply


is Player 2

score: 0
pip: 40
1 point match
pip: 60
score: 0

is Player 1
XGID=aBBBBCCA---------------ee-:0:0:1:21:0:0:0:1:10
to play 21

1.Rollout17/4eq: +0.695
Player:
Opponent:
84.77% (G:0.00% B:0.00%)
15.23% (G:0.00% B:0.00%)
Conf: ± 0.001 (+0.694...+0.696)
Duration: 51.3 seconds
1 5184 Games rolled with Variance Reduction.
Dice Seed: 83684680
Moves: 4 ply, cube decisions: 5 ply


is Player 2

score: 0
pip: 38
1 point match
pip: 60
score: 0

is Player 1
XGID=aBBBBCCA---------------de-:0:0:1:21:0:0:0:1:10
to play 21

1.Rollout17/4eq: +0.560
Player:
Opponent:
78.00% (G:0.00% B:0.00%)
22.00% (G:0.00% B:0.00%)
Conf: ± 0.001 (+0.559...+0.561)
Duration: 55.7 seconds
1 5184 Games rolled with Variance Reduction.
Dice Seed: 88250558
Moves: 4 ply, cube decisions: 5 ply


is Player 2

score: 0
pip: 37
1 point match
pip: 60
score: 0

is Player 1
XGID=aBBBBCCA---------------dd-:0:0:1:21:0:0:0:1:10
to play 21

1.Rollout17/4eq: +0.395
Player:
Opponent:
69.73% (G:0.00% B:0.00%)
30.27% (G:0.00% B:0.00%)
Conf: ± 0.001 (+0.394...+0.396)
Duration: 1 minute 08 seconds
1 5184 Games rolled with Variance Reduction.
Dice Seed: 63114713
Moves: 4 ply, cube decisions: 5 ply


is Player 2

score: 0
pip: 35
1 point match
pip: 60
score: 0

is Player 1
XGID=aBBBBCCA---------------cd-:0:0:1:21:0:0:0:1:10
to play 21

1.Rollout17/4eq: +0.221
Player:
Opponent:
61.05% (G:0.00% B:0.00%)
38.95% (G:0.00% B:0.00%)
Conf: ± 0.001 (+0.220...+0.222)
Duration: 1 minute 22 seconds
1 5184 Games rolled with Variance Reduction.
Dice Seed: 57773547
Moves: 4 ply, cube decisions: 5 ply


is Player 2

score: 0
pip: 34
1 point match
pip: 60
score: 0

is Player 1
XGID=aBBBBCCA---------------cc-:0:0:1:21:0:0:0:1:10
to play 21

1.Rollout17/4eq: +0.013
Player:
Opponent:
50.66% (G:0.00% B:0.00%)
49.34% (G:0.00% B:0.00%)
Conf: ± 0.001 (+0.012...+0.014)
Duration: 28 minutes 48 seconds
1 5184 Games rolled with Variance Reduction.
Dice Seed: 6736207
Moves: 4 ply, cube decisions: 5 ply


is Player 2

score: 0
pip: 32
1 point match
pip: 60
score: 0

is Player 1
XGID=aBBBBCCA---------------bc-:0:0:1:21:0:0:0:1:10
to play 21

1.Rollout17/4eq: -0.158
Player:
Opponent:
42.08% (G:0.00% B:0.00%)
57.92% (G:0.00% B:0.00%)
Conf: ± 0.001 (-0.159...-0.157)
Duration: 6 minutes 03 seconds
1 5184 Games rolled with Variance Reduction.
Dice Seed: 17566928
Moves: 4 ply, cube decisions: 5 ply


is Player 2

score: 0
pip: 31
1 point match
pip: 60
score: 0

is Player 1
XGID=aBBBBCCA---------------bb-:0:0:1:21:0:0:0:1:10
to play 21

1.Rollout17/4eq: -0.362
Player:
Opponent:
31.89% (G:0.00% B:0.00%)
68.11% (G:0.00% B:0.00%)
Conf: ± 0.002 (-0.364...-0.360)
Duration: 7 minutes 26 seconds
1 5184 Games rolled with Variance Reduction.
Dice Seed: 10519013
Moves: 4 ply, cube decisions: 5 ply


is Player 2

score: 0
pip: 28
1 point match
pip: 60
score: 0

is Player 1
XGID=aBBBBCCA----------------c-:0:0:1:21:0:0:0:1:10
to play 21

1.Rollout17/4eq: -0.515
Player:
Opponent:
24.25% (G:0.00% B:0.00%)
75.75% (G:0.00% B:0.00%)
Conf: ± 0.001 (-0.516...-0.514)
Duration: 11 minutes 36 seconds
1 15552 Games rolled with Variance Reduction.
Dice Seed: 51456635
Moves: 4 ply, cube decisions: 5 ply


is Player 2

score: 0
pip: 29
1 point match
pip: 60
score: 0

is Player 1
XGID=aBBBBCCA---------------ab-:0:0:1:21:0:0:0:1:10
to play 21

1.Rollout17/4eq: -0.416
Player:
Opponent:
29.18% (G:0.00% B:0.00%)
70.82% (G:0.00% B:0.00%)
Conf: ± 0.002 (-0.418...-0.414)
Duration: 35 minutes 39 seconds
1 5184 Games rolled with Variance Reduction.
Dice Seed: 67817185
Moves: 4 ply, cube decisions: 5 ply


is Player 2

score: 0
pip: 27
1 point match
pip: 60
score: 0

is Player 1
XGID=aBBBBCCA----------------b-:0:0:1:21:0:0:0:1:10
to play 21

1.Rollout17/4eq: -0.656
Player:
Opponent:
17.20% (G:0.00% B:0.00%)
82.80% (G:0.00% B:0.00%)
Conf: ± 0.001 (-0.657...-0.655)
Duration: 12 minutes 27 seconds
1 15552 Games rolled with Variance Reduction.
Dice Seed: 57773547
Moves: 4 ply, cube decisions: 5 ply


is Player 2

score: 0
pip: 26
1 point match
pip: 60
score: 0

is Player 1
XGID=aBBBBCCA----------------a-:0:0:1:21:0:0:0:1:10
to play 21

1.Rollout17/4eq: -0.569
Player:
Opponent:
21.54% (G:0.00% B:0.00%)
78.46% (G:0.00% B:0.00%)
Conf: ± 0.002 (-0.571...-0.567)
Duration: 5 hours 01 minute
1 10368 Games rolled with Variance Reduction.
Dice Seed: 89580768
Moves: 4 ply, cube decisions: 5 ply


is Player 2

score: 0
pip: 3
1 point match
pip: 99
score: 0

is Player 1
XGID=--ABBBCBB--------------aaA:0:0:1:23:0:0:0:1:10
to play 23

1.Rollout1Bar/23* 23/20eq: +0.014
Player:
Opponent:
50.71% (G:0.00% B:0.00%)
49.29% (G:15.09% B:9.97%)
Conf: ± 0.006 (+0.008...+0.020)
Duration: 15 hours 39 minutes
1 5184 Games rolled with Variance Reduction.
Dice Seed: 47231330
Moves: 4 ply, cube decisions: 5 ply


is Player 2

score: 0
pip: 3
1 point match
pip: 100
score: 0

is Player 1
XGID=--BBBBCB-------A-------aaA:0:0:1:23:0:0:0:1:10
to play 23

1.Rollout1Bar/23* 4/1eq: -0.107
Player:
Opponent:
44.63% (G:0.00% B:0.00%)
55.37% (G:23.72% B:14.61%)
Conf: ± 0.005 (-0.112...-0.102)
Duration: 13 hours 36 minutes
1 6480 Games rolled with Variance Reduction.
Dice Seed: 54376264
Moves: 4 ply, cube decisions: 5 ply


is Player 2

score: 0
pip: 25
1 point match
pip: 60
score: 0

is Player 1
XGID=aBBBBCCA------------------:0:0:1:21:0:0:0:1:10
to play 21

1.Rollout17/4eq: -0.831
Player:
Opponent:
8.45% (G:0.00% B:0.00%)
91.55% (G:0.00% B:0.00%)
Conf: ± 0.001 (-0.832...-0.830)
Duration: 6 minutes 58 seconds
1 15552 Games rolled with Variance Reduction.
Dice Seed: 24983242
Moves: 4 ply, cube decisions: 5 ply


is Player 2

score: 0
pip: 50
1 point match
pip: 60
score: 0

is Player 1
XGID=bBBBBCCA------------------:0:0:1:21:0:0:0:1:10
to play 21

1.Rollout17/4eq: +0.363
Player:
Opponent:
68.17% (G:0.00% B:0.00%)
31.83% (G:0.00% B:0.00%)
Conf: ± 0.002 (+0.361...+0.365)
Duration: 1 minute 55 seconds
1 5184 Games rolled with Variance Reduction.
Dice Seed: 21140344
Moves: 4 ply, cube decisions: 5 ply

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