• Containment cube

    From Timothy Chow@21:1/5 to All on Mon Apr 18 10:20:04 2022
    XGID=-a-BBBB-B-ab-B---B-Ad-cbb-:1:1:1:00:0:0:0:0:10

    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-+
    | X X | | X O O O O |
    | X X | | O O O O |
    | | | O O |
    | | | O |
    | | | |
    | |BAR| |
    | | | |
    | | | |
    | | | | +---+
    | O X | | X X X X | | 2 |
    | O O X | | X X X X O | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 131 O: 102 X-O: 0-0
    Cube: 2, X own cube
    X on roll, cube action

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Timothy Chow@21:1/5 to All on Wed Apr 20 09:32:08 2022
    XGID=-a-BBBB-B-ab-B---B-Ad-cbb-:1:1:1:00:0:0:0:0:10

    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-+
    | X X | | X O O O O |
    | X X | | O O O O |
    | | | O O |
    | | | O |
    | | | |
    | |BAR| |
    | | | |
    | | | |
    | | | | +---+
    | O X | | X X X X | | 2 |
    | O O X | | X X X X O | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 131 O: 102 X-O: 0-0
    Cube: 2, X own cube
    X on roll, cube action

    I was surprised that XG thought this position was way too good to
    double. O is not on the bar, X is still about 30 pips down, his
    five-prime is broken, and O's board, while partially crunched,
    is still strong enough to cause X grief if X is hit. But a closer
    look reveals that X doesn't have any really bad rolls. His worst
    rolls are 62 and 41, which give O an indirect shot at the 8pt blot
    that he'll have to create. Even if O hits loose on her 6pt, X
    will remain a favorite.

    I did spot check a few variations to look for anomalies. If X
    rolls 41 and plays 8/3, and then O rolls 54 and hits, then is X
    supposed to double from the bar? 3-ply, 4-ply, XGR, and even XGR+
    all say no, but a rollout says yes. But I doubt that such anomalies
    swing the TG verdict.

    Analyzed in Rollout
    No redouble
    Player Winning Chances: 80.27% (G:28.69% B:1.14%)
    Opponent Winning Chances: 19.73% (G:4.33% B:0.06%)
    Redouble/Take
    Player Winning Chances: 81.52% (G:27.81% B:1.12%)
    Opponent Winning Chances: 18.48% (G:4.06% B:0.06%)

    Cubeful Equities:
    No redouble: +1.074
    Redouble/Take: +1.641 (+0.567)
    Redouble/Pass: +1.000 (-0.074)

    Best Cube action: Too good to redouble / Pass
    Percentage of wrong take needed to make the double decision right: 11.6%

    Rollout:
    1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller
    Confidence No Double: ± 0.008 (+1.066..+1.083)
    Confidence Double: ± 0.017 (+1.624..+1.658)

    eXtreme Gammon Version: 2.19.207.pre-release

    ---
    Tim Chow

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