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Re: [Bug-gnubg] Beaver bug


From: Joseph Heled
Subject: Re: [Bug-gnubg] Beaver bug
Date: Thu, 31 Jul 2003 16:38:55 +1200
User-agent: Mozilla/5.0 (X11; U; Linux i686; en-US; rv:1.4) Gecko/20030624

I have far too many "normal" positions GNUbg mis-evaluates to worry about this one :)

-Joseph


Christopher D. Yep wrote:
Sometimes gnubg doesn't report beavers correctly. For example, consider the following extreme position:

    GNU Backgammon  Position ID: Pp8PAAAAAPh8Pg
                    Match ID   : cAkAAAAAAAAA
    +24-23-22-21-20-19------18-17-16-15-14-13-+  O: gnubg
    | X  O  X  O  X  O |   |                  |  0 points
    | X  O  X  O  X  O |   |                  |
    | X  O  X  O  X  O |   |                  |
    | X  O  X  O  X  O |   |                  |
    | X  O  X  O  X  O |   |                  |
    |                  |BAR|                  |v (Cube: 1)
    |                  |   |                  |
    |                  |   |                  |
    |                  |   |                  |
    |                  |   |                  |  On roll
    |                  |   |                  |  0 points
    +-1--2--3--4--5--6-------7--8--9-10-11-12-+  X: Chris
Pip counts: O 60, X 330

X is playing an extreme 15-checker backgame. X owns the cube and is on roll.

0-ply, 1-ply, 2-ply, and 4-ply analysis (no reduced evaluations) all state that X is a cubeless underdog. Therefore, 0-ply, 1-ply, 2-ply, and 4-ply evaluations should definitely be no-redouble/beaver. However gnubg says it's no-redouble/take at 0-ply, 2-ply, and 4-ply. At 1-ply it correctly says that it's a no-redouble/beaver.

I'm using gnubg for Windows version 0.14-devel 1.1227 030727 (build Jul 27 2003).

Here is gnubg's display for 0-ply through 4-ply (for both the hint and evaluations windows):

0-ply:

Cube analysis
0-ply cubeless equity  -2.120
    7.9%   0.0%   0.0% -  92.1%  87.0%  40.8%
Cubeful equities:
1. No double            -2.093
2. Double, pass         +1.000  ( +3.093)
3. Double, take         -4.297  ( -2.204)
Proper cube action: No redouble, take (41.6%)

1-ply:

Cube analysis
1-ply cubeless equity  -0.012
   67.8%   0.2%   0.0% -  32.2%  26.6%  10.4%
Cubeful equities:
1. No double            +0.218
2. Double, pass         +1.000  ( +0.782)
3. Double, take         -0.243  ( -0.462)
Proper cube action: No redouble, beaver (37.1%)

2-ply:

Cube analysis
2-ply cubeless equity  -2.091
    7.5%   0.0%   0.0% -  92.5%  86.5%  37.5%
Cubeful equities:
1. No double            -2.066
2. Double, pass         +1.000  ( +3.066)
3. Double, take         -4.237  ( -2.172)
Proper cube action: No redouble, take (41.5%)

3-ply [note: the bug doesn't apply here; the interpretation of no-redouble/take is correct since .139 > 0]:

Cube analysis
3-ply cubeless equity  +0.159
   73.7%   0.1%   0.0% -  26.3%  22.0%   9.6%
Cubeful equities:
1. No double            +0.414
2. Double, pass         +1.000  ( +0.586)
3. Double, take         +0.139  ( -0.275)
Proper cube action: No redouble, take (32.0%)

4-ply:

Cube analysis
4-ply cubeless equity  -2.027
    6.9%   0.0%   0.0% -  93.1%  85.1%  31.3%
Cubeful equities:
1. No double            -2.004
2. Double, pass         +1.000  ( +3.004)
3. Double, take         -4.107  ( -2.104)
Proper cube action: No redouble, take (41.2%)

Chris



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