• An Ask Axel position

    From pepstein5@gmail.com@21:1/5 to All on Sat Nov 20 14:19:12 2021
    The position below is almost exactly marginal.
    XG's analysis led it to an ultra-marginal pass but it
    rolled out to an ultra-marginal take.

    My (shamefully Isightless) take was somewhat confident though.
    I didn't realise it was 50/50.
    The racing methods I used were 10% + 2 and 8/9/12.
    10% of 103 + 2 is 12.3 and I'm trailing by less than that.
    Also, 12% of 103 = 12.36 and I'm trailing by less than that too.
    Furthermore, I think (but am not sure) that such racing methods
    underrate the underdog's chances in long races like this one.
    Perhaps I needed to add a pip to my count because of my stack on the
    ace. Then you get close to the required marginality.

    So, a good selling point for a racing method would be that it assesses
    this position as marginal.

    Paul


    XGID=-B---BCB--BA-C-cba-dcb----:0:0:-1:00:8:4:3:0:10
    X:eXtremeGammon O:Daniel

    Score is X:4 O:8. Unlimited Game, Jacoby Beaver
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | O O O | | O O O |
    | O O | | O O O |
    | | | O |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | | | X |
    | O X | | X X |
    | O X X | | X X X |
    | O X X X | | X X X |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 103 O: 114 X-O: 4-8
    Cube: 1
    X on roll, cube action

    Analyzed in Rollout
    No double
    Player Winning Chances: 78.43% (G:0.03% B:0.00%)
    Opponent Winning Chances: 21.57% (G:0.00% B:0.00%)
    Double/Take
    Player Winning Chances: 78.43% (G:0.03% B:0.00%)
    Opponent Winning Chances: 21.57% (G:0.00% B:0.00%)

    Cubeless Equities: No Double=+0.569, Double=+1.138

    Cubeful Equities:
    No double: +0.876 (-0.121)
    Double/Take: +0.997
    Double/Pass: +1.000 (+0.003)

    Best Cube action: Double / Take

    Rollout:
    1296 Games rolled with Variance Reduction.
    Moves: 3-ply, cube decisions: XG Roller
    Confidence No Double: ± 0.003 (+0.873..+0.878)
    Confidence Double: ± 0.004 (+0.993..+1.000)

    Double Decision confidence: 100.0%
    Take Decision confidence: 96.1%

    Duration: 3 hours 32 minutes

    eXtreme Gammon Version: 2.10

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  • From Axel Reichert@21:1/5 to peps...@gmail.com on Mon Nov 22 19:03:47 2021
    "peps...@gmail.com" <pepstein5@gmail.com> writes:

    XG's analysis led it to an ultra-marginal pass but it
    rolled out to an ultra-marginal take.

    My Isight count recommends to pass, and not very marginal. You have a
    lot of additional crossovers compared to X, and each is penalized with
    an additional pip, resulting in 2 percent less winning chances each.

    If you move two checkers from your point 13 to 12 and, for compensation
    with respect to the pip count, one from your point 7 to 8 and one from
    your point 10 to 11, then the Isight count advises to take because of
    the 4 percentage point difference in winning chances. However, GNU
    Backgammon estimates this new position and your original one as having
    only an 0.4 percentage point difference.

    So in this position my method clearly overestimates the influence of
    additional crossovers.

    So, a good selling point for a racing method would be that it assesses
    this position as marginal.

    A good selling point for a racing method would be that it looses a
    minimum amount of equity for a huge number and broad range of positions.
    (-:

    Best regards

    Axel

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