• Double 1's again

    From Timothy Chow@21:1/5 to All on Wed Feb 21 09:27:50 2024
    XGID=-aA-B-DC--b--D---Abc-bcb--:0:0:1:11:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X X O | | O O O O |
    | X O | | O O O O |
    | X | | O O |
    | X | | |
    | | | |
    | |BAR| |
    | | | |
    | | | X |
    | X | | X |
    | O X | | X X |
    | O X | | X X X O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 124 O: 107 X-O: 0-0
    Cube: 1
    X to play 11

    ---
    Tim Chow

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Timothy Chow@21:1/5 to All on Fri Feb 23 09:35:30 2024
    XGID=-aA-B-DC--b--D---Abc-bcb--:0:0:1:11:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X X O | | O O O O |
    | X O | | O O O O |
    | X | | O O |
    | X | | |
    | | | |
    | |BAR| |
    | | | |
    | | | X |
    | X | | X |
    | O X | | X X |
    | O X | | X X X O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 124 O: 107 X-O: 0-0
    Cube: 1
    X to play 11

    After the obvious 6/5(2), I elected to hit with 2/1*. But O's
    blot is not at the edge of our prime, so 2/1* doesn't accomplish
    much. On the other hand, 13/12(2) creates another point to help
    contain O's checkers, which is important because X is well behind
    in the pip count.

    What if X didn't have 13/12(2) available for his remaining aces?
    See the variant below for one example.

    1. Rollout¹ 13/12(2) 6/5(2) eq:+0.100
    Player: 55.64% (G:10.47% B:0.51%)
    Opponent: 44.36% (G:20.54% B:0.32%)
    Confidence: ±0.014 (+0.085..+0.114) - [100.0%]

    2. Rollout¹ 13/11 6/5(2) eq:-0.005 (-0.105)
    Player: 52.85% (G:9.91% B:0.50%)
    Opponent: 47.15% (G:24.51% B:0.54%)
    Confidence: ±0.012 (-0.017..+0.007) - [0.0%]

    3. Rollout¹ 7/5 6/5 2/1* eq:-0.009 (-0.109)
    Player: 51.61% (G:9.91% B:0.33%)
    Opponent: 48.39% (G:17.83% B:0.26%)
    Confidence: ±0.013 (-0.021..+0.004) - [0.0%]

    4. Rollout¹ 7/5 6/5(2) eq:-0.016 (-0.116)
    Player: 52.39% (G:9.63% B:0.43%)
    Opponent: 47.61% (G:22.52% B:0.29%)
    Confidence: ±0.010 (-0.027..-0.006) - [0.0%]

    ¹ 1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller

    eXtreme Gammon Version: 2.19.211.pre-release

    -------
    Variant
    -------

    XGID=-aA-B-DD--b--C---Abc-bcb--:0:0:1:11:0:0:0:0:10

    Score is X:0 O:0. Unlimited Game
    +13-14-15-16-17-18------19-20-21-22-23-24-+
    | X X O | | O O O O |
    | X O | | O O O O |
    | X | | O O |
    | | | |
    | | | |
    | |BAR| |
    | | | |
    | X | | X |
    | X | | X |
    | O X | | X X |
    | O X | | X X X O |
    +12-11-10--9--8--7-------6--5--4--3--2--1-+
    Pip count X: 118 O: 107 X-O: 0-0
    Cube: 1
    X to play 11

    1. Rollout¹ 7/5 6/5 2/1* eq:+0.177
    Player: 55.87% (G:10.98% B:0.38%)
    Opponent: 44.13% (G:14.79% B:0.23%)
    Confidence: ±0.013 (+0.165..+0.190) - [99.9%]

    2. Rollout¹ 7/5 6/5(2) eq:+0.150 (-0.027)
    Player: 56.18% (G:10.69% B:0.47%)
    Opponent: 43.82% (G:19.12% B:0.29%)
    Confidence: ±0.011 (+0.140..+0.161) - [0.1%]

    ¹ 1296 Games rolled with Variance Reduction.
    Dice Seed: 271828
    Moves: 3-ply, cube decisions: XG Roller

    eXtreme Gammon Version: 2.19.211.pre-release

    ---
    Tim Chow

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