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Snake: prime 6 to 11 point

Posted By: Daniel Murphy
Date: Thursday, 17 June 2010, at 1:11 p.m.

A position any bot and some hominids should be able to play.

White34


eX ' ' ' ' ' ' ' ' ' ' '

 ' ' ' '1X2O2O2O3O3O3O '

Blue132

Position ID: /z8AAAJg290BAA Match ID: UQkAAAAAAAAA

• Blue doubles

Cube decision
Rollout cubeless equity +0.8634
Cubeful equities:
1.Double, pass +1.0000
2.Double, take +1.8012 +0.8012
3.No double +1.0000 -0.0000
Proper cube action:Redouble, pass
Rollout details
WinW gW bg LoseL gL bgCubelessCubeful
Player Blue owns 2-cube0.90730.06430.0001-0.09270.01560.0000 +0.8634 +1.0000
Standard error0.00070.00130.0000-0.00070.00050.0000 0.0018 0.0009
Player White owns 4-cube0.93860.04130.0006-0.06140.00390.0000 +1.8307 +1.8012
Standard error0.00080.00150.0001-0.00080.00060.0000 0.0046 0.0052
Full cubeful rollout with var.redn.
1296 games, Mersenne Twister dice gen. with seed 892434374 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]

Gnubg 2-ply makes some, but not many, mistakes from here. Note (at the bottom of the annotations) that 0-ply does noticeably worse.


Annotation
EVALUATIONS

0-ply cubeless equity +0.8705
0.9020 0.0854 0.0007 - 0.0980 0.0194 0.0000
Cubeful equities:
1. Double, pass +1.0000
2. Double, take +1.6744 ( +0.6744)
3. No double +0.9936 ( -0.0064)
Proper cube action: Redouble, pass

1-ply cubeless equity +0.8619
0.9122 0.0528 0.0024 - 0.0878 0.0177 0.0000
Cubeful equities:
1. Double, pass +1.0000
2. Double, take +1.6641 ( +0.6641)
3. No double +0.9791 ( -0.0209)
Proper cube action: Redouble, pass

2-ply cubeless equity +0.8704
0.9010 0.0922 0.0006 - 0.0990 0.0245 0.0000
Cubeful equities:
1. No double +1.0077
2. Double, take +1.6735 ( +0.6658)
3. Double, pass +1.0000 ( -0.0077)
Proper cube action: Too good to redouble, pass (1.1%)

3-ply cubeless equity +0.8715
0.9181 0.0489 0.0019 - 0.0819 0.0154 0.0000
Cubeful equities:
1. Double, pass +1.0000
2. Double, take +1.6873 ( +0.6873)
3. No double +0.9958 ( -0.0042)
Proper cube action: Redouble, pass

4-ply cubeless equity +0.8825
0.9042 0.0954 0.0005 - 0.0958 0.0218 0.0000
Cubeful equities:
1. No double +1.0075
2. Double, take +1.7002 ( +0.6926)
3. Double, pass +1.0000 ( -0.0075)
Proper cube action: Too good to redouble, pass (1.1%)

AND A ROLLOUT:
Player White owns 4-cube:
0.9245 0.0396 0.0006 - 0.0755 0.0059 0.0000 CL +1.7667 CF +1.7301
[0.0009 0.0012 0.0002 - 0.0009 0.0005 0.0000 CL 0.0042 CF 0.0050]
Full cubeful rollout with var.redn.
2592 games, Mersenne Twister dice gen. with seed 892375712 and quasi-random dice
Play: 0-ply cubeful [expert]
Cube: 2-ply cubeful prune [world class]

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