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Mochy vs Melzi @GG wednesday 6pm edt

Posted By: eXtreme Gammon
Date: Friday, 24 June 2011, at 2:55 a.m.

In Response To: Mochy vs Melzi @GG wednesday 6pm edt (Massimiliano Calusio)

This is an interesting case for discussing RO results.


Here is a 3-ply RO




White is Joueur 2

score: 1
pip: 99
13 point match
pip: 59
score: 10

Blue is Joueur 1
XGID=aBCCCCa--------A---dbbcb--:1:1:1:11:10:1:0:13:10
Blue to play 11

1.Rollout115/13 5/4 2/1eq: +0.998
Player:
Opponent:
92.24% (G:11.11% B:0.03%)
7.76% (G:0.20% B:0.00%)
Conf.: ± 0.002 (+0.996...+1.001) - [100.0%]
Duration: 46.6 seconds
2.Rollout115/13 5/3eq: +0.988 (-0.010)
Player:
Opponent:
92.11% (G:11.06% B:0.02%)
7.89% (G:0.21% B:0.00%)
Conf.: ± 0.002 (+0.986...+0.991) - [0.0%]
Duration: 43.1 seconds
3.Rollout115/13 5/4 3/2eq: +0.882 (-0.116)
Player:
Opponent:
91.54% (G:9.46% B:0.11%)
8.46% (G:0.20% B:0.00%)
Conf.: ± 0.001 (+0.882...+0.883) - [0.0%]
Duration: 38.8 seconds
4.Rollout115/12 5/4eq: +0.873 (-0.125)
Player:
Opponent:
90.23% (G:15.01% B:0.19%)
9.77% (G:0.24% B:0.01%)
Conf.: ± 0.001 (+0.873...+0.874) - [0.0%]
Duration: 15.0 seconds
1 5184 Games rolled with Variance Reduction.
Moves and cube decisions: 3-ply

eXtreme Gammon Version: 2.00.170.beta, MET: Kazaross XG2


and now a 3-ply/XGR RO




White is Joueur 2

score: 1
pip: 99
13 point match
pip: 59
score: 10

Blue is Joueur 1
XGID=aBCCCCa--------A---dbbcb--:1:1:1:11:10:1:0:13:10
Blue to play 11

1.Rollout115/13 5/4 2/1eq: +0.907
Player:
Opponent:
91.34% (G:10.24% B:0.08%)
8.66% (G:0.18% B:0.00%)
Conf.: ± 0.001 (+0.906...+0.907) - [70.3%]
Duration: 31.8 seconds
2.Rollout115/13 5/3eq: +0.906 (0.000)
Player:
Opponent:
91.19% (G:9.97% B:0.07%)
8.81% (G:0.20% B:0.00%)
Conf.: ± 0.001 (+0.906...+0.907) - [21.0%]
Duration: 29.9 seconds
3.Rollout115/13 5/4 3/2eq: +0.906 (0.000)
Player:
Opponent:
90.98% (G:9.54% B:0.06%)
9.02% (G:0.20% B:0.00%)
Conf.: ± 0.001 (+0.906...+0.907) - [8.7%]
Duration: 32.1 seconds
4.Rollout115/12 5/4eq: +0.892 (-0.015)
Player:
Opponent:
91.05% (G:13.96% B:0.27%)
8.95% (G:0.23% B:0.01%)
Conf.: ± 0.001 (+0.891...+0.893) - [0.0%]
Duration: 1 minute 42 seconds
1 5184 Games rolled with Variance Reduction.
Moves: 3-ply, cube decisions: XG Roller

eXtreme Gammon Version: 2.00.170.beta, MET: Kazaross XG2


That's widely different results, so let's try to figure why... let's only compare 15/13 5/4 3/2 and 15/13 5/4 2/1

As the only change is the cube level, it has to come for the next cube decision and very likely is in the line after the opponent fans.

Let's check the 2 positions




White is Joueur 2

score: 1
pip: 99
13 point match
pip: 55
score: 10

Blue is Joueur 1
XGID=aCBCDBa------A-----dbbcb--:1:1:1:00:10:1:0:13:10
Blue on roll, cube action?

eXtreme Gammon Version: 2.00.170.beta





White is Joueur 2

score: 1
pip: 99
13 point match
pip: 55
score: 10

Blue is Joueur 1
XGID=aBDBDBa------A-----dbbcb--:1:1:1:00:10:1:0:13:10
Blue on roll, cube action?

eXtreme Gammon Version: 2.00.170.beta

15/13 5/4 2/1

3ply: ND 0.963, DT 0.982

XGR: ND 0.972, DT 1.106

3-ply/XGR 1296 RO: ND: 0.980, DT: 1.129

15/13 5/4 3/2

3ply: ND 0.958, DT 0.946

XGR: ND 0.966, DT 1.094

3-ply/XGR 1296 RO: ND: 0.971, DT: 1.108


Here it happens that XGR get both cube right (DP), while 3-ply get DT and ND for 3/2 and 2/1.

As a result 2/1 Eval in 3-ply RO are inflated by 0.129 and 3/2 is decreased by 1.000-0.958=0.042. the rest of the error are probably from susquent play-fan-double error

Conclusion: 3-ply RO are not perfect. 3-ply/XGR Ro are better but are still not perfect!

The position shown here has a very narrow doubling window (ATS) and it makes the cube action very sharp/difficult and hence increases the risk that during RO the bot will err.

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