• Race cube 2

    From ah...Clem@21:1/5 to All on Fri Sep 23 17:27:05 2022
    Not as contrived as the last one. An actual position that came up
    recently, tweaked slightly to get an interesting pipcount.

    XGID=-BBBCBC-A-----aa---cabcbb-:0:0:1:00:0:0:0:0:10

    X:Player 1 O:Player 2
    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | O O | | O O O O O O |
    | | | O O O O O |
    | | | O O |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | | | |
    | | | X X |
    | | | X X X X X X |
    | X | | X X X X X X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 60 O: 67 X-O: 0-0
    Cube: 1
    X on roll, cube action

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From ah...Clem@21:1/5 to All on Mon Sep 26 11:34:08 2022
    No takers on this one. Perhaps too simple? It's just a race cube, and
    there are formulas for that. Here, the appear to disagree. After
    penalizing O for the extra crossover, we get a score of 60 to 68. The
    three pip wide Trice metric says the doubling window is (64,67) while
    the four pip wide Isight puts the doubling window at (64,68)

    So it's D/P according to Trice and D/T according to Isight, assuming
    I've done the calculation correctly. XG doesn't have a tab for Isight,
    but accrording to it, both Thorpe and Keith metrics say it's a take too.

    In the variant, I've smoothed out O's distribution, so the take is not a
    big an error as it is here.

    XGID=-BBBCBC-A-----aa---cabcbb-:0:0:1:00:0:0:0:0:10

    X:Player 1 O:Player 2
    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | O O | | O O O O O O |
    | | | O O O O O |
    | | | O O |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | | | |
    | | | X X |
    | | | X X X X X X |
    | X | | X X X X X X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 60 O: 67 X-O: 0-0
    Cube: 1
    X on roll, cube action

    Analyzed in Rollout
    No double
    Player Winning Chances: 81.46% (G:0.00% B:0.00%)
    Opponent Winning Chances: 18.54% (G:0.00% B:0.00%)
    Double/Take
    Player Winning Chances: 81.43% (G:0.00% B:0.00%)
    Opponent Winning Chances: 18.57% (G:0.00% B:0.00%)

    Cubeless Equities: No Double=+0.629, Double=+1.257

    Cubeful Equities:
    No double: +0.895 (-0.105)
    Double/Take: +1.153 (+0.153)
    Double/Pass: +1.000

    Best Cube action: Double / Pass

    Rollout:
    1296 Games rolled with Variance Reduction.
    Moves: 3-ply, cube decisions: XG Roller
    Confidence No Double: ± 0.002 (+0.893..+0.898)
    Confidence Double: ± 0.003 (+1.150..+1.157)

    Double Decision confidence: 100.0%
    Take Decision confidence: 100.0%

    Duration: 40.6 seconds

    eXtreme Gammon Version: 2.10


    /******************
    /variant
    /******************


    XGID=-BBBCBC-A-----a--a-cbbbbb-:0:0:1:00:0:0:0:0:10

    X:Player 1 O:Player 2
    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | O O | | O O O O O O |
    | | | O O O O O O |
    | | | O |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | | | |
    | | | X X |
    | | | X X X X X X |
    | X | | X X X X X X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 60 O: 67 X-O: 0-0
    Cube: 1
    X on roll, cube action

    Analyzed in Rollout
    No double
    Player Winning Chances: 79.71% (G:0.00% B:0.00%)
    Opponent Winning Chances: 20.29% (G:0.00% B:0.00%)
    Double/Take
    Player Winning Chances: 79.68% (G:0.00% B:0.00%)
    Opponent Winning Chances: 20.32% (G:0.00% B:0.00%)

    Cubeless Equities: No Double=+0.594, Double=+1.187

    Cubeful Equities:
    No double: +0.871 (-0.129)
    Double/Take: +1.074 (+0.074)
    Double/Pass: +1.000

    Best Cube action: Double / Pass

    Rollout:
    1296 Games rolled with Variance Reduction.
    Moves: 3-ply, cube decisions: XG Roller
    Confidence No Double: ± 0.002 (+0.869..+0.873)
    Confidence Double: ± 0.003 (+1.071..+1.077)

    Double Decision confidence: 100.0%
    Take Decision confidence: 100.0%

    Duration: 46.5 seconds

    eXtreme Gammon Version: 2.10

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)