• Doubling from the bar

    From Timothy Chow@21:1/5 to All on Sat Jan 6 17:18:54 2024
    XGID=a-Bb-BC-BB---B-----bbbAbdA:1:1:1:00:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X | | O O O X O O |
    | X | | O O O O O |
    | | | O |
    | | | O |
    | | X | |
    | |BAR| |
    | | O | |
    | | | |
    | | | X | +---+
    | X X | | X X O X | | 2 |
    | X X | | X X O X | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 139 O: 107 X-O: 0-0
    Cube: 2, X own cube
    X on roll, cube action

    ---
    Tim Chow

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  • From Timothy Chow@21:1/5 to All on Tue Jan 9 08:55:44 2024
    XGID=a-Bb-BC-BB---B-----bbbAbdA:1:1:1:00:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X | | O O O X O O |
    | X | | O O O O O |
    | | | O |
    | | | O |
    | | X | |
    | |BAR| |
    | | O | |
    | | | |
    | | | X | +---+
    | X X | | X X O X | | 2 |
    | X X | | X X O X | +---+
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 139 O: 107 X-O: 0-0
    Cube: 2, X own cube
    X on roll, cube action

    Paul's "guess at the context" unfortunately is wrong. I did not
    double here, but XG thinks it's a big double, and depending on
    what one means by an "easy take," the take is maybe not so easy.
    But Paul correctly spotted something that I overlooked OTB, which
    is that even though O has a five-point board, it is brittle, and
    even if X dances, O could enter and crack immediately.

    Analyzed in Rollout
    No redouble
    Player Winning Chances: 70.97% (G:21.87% B:0.95%)
    Opponent Winning Chances: 29.03% (G:10.57% B:0.09%)
    Redouble/Take
    Player Winning Chances: 71.41% (G:22.41% B:1.01%)
    Opponent Winning Chances: 28.59% (G:10.52% B:0.09%)

    Cubeful Equities:
    No redouble: +0.839 (-0.088)
    Redouble/Take: +0.927
    Redouble/Pass: +1.000 (+0.073)

    Best Cube action: Redouble / Take

    Rollout:
    1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller
    Confidence No Double: ± 0.013 (+0.826..+0.852)
    Confidence Double: ± 0.019 (+0.908..+0.946)

    eXtreme Gammon Version: 2.19.211.pre-release

    ---
    Tim Chow

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  • From Timothy Chow@21:1/5 to peps...@gmail.com on Wed Jan 10 22:00:11 2024
    On 1/9/2024 9:28 AM, peps...@gmail.com wrote:
    From a human standpoint, losing 0.088 equity on a cube decision
    is consistent with being quite a strong player. I don't know the PR formulas exactly but I think it's possible to play at a 5 PR rating averaging one 0.09 error per game if other errors are minimized.

    It is absolutely true that even the best players will occasionally
    make mistakes that, according to the bot, lose a lot of equity.
    Sometimes it is because of loss of concentration or carelessness,
    but sometimes it's simply because the player's heuristics don't work.

    This should not be surprising. In chess, for example, we know that
    even the best players will occasionally blunder in the eyes of the
    chess engines. For example, there was an endgame in the Carlsen-Caruana
    world championship match a few years ago in which both players missed
    a win that the computer found. There was just no way a human could
    find that win over the board (without being told that there is a win,
    of course).

    Despite this, I find that countless players make the mistake of
    conflating an "easy decision for a human" with a "large equity
    difference according to the computer." I corresponded with James Vogl
    about his excellent book, "Backgammon Super Genius Quiz," and he was
    of the opinion that the only way to discriminate between top players
    in a quiz would be to include positions with small equity differences.
    This simply isn't true, as the Othello Quiz demonstrates year after
    year.

    ---
    Tim Chow

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