Exact Bearoff

What does it do?
Exact bearoff calculates the winning chances, equity and doubling decisions of bearoff positions in backgammon.

The program starts by computing all possible bearoff positions for up to a certain number of checkers. This takes a long time, but after that every position will be stored on hard-disk and can be used for instantaneous lookup.

Creating the databases
In the file menu, select 'create databases'. Select the number of checkers you you want to compute, for instance: 9 checkers at distance 6, and 15 at distance 4. After you press 'OK', ExactBearoff will fill your harddisk with the results. This can take several hours. For practical reasons, the size of the databases should not exceed your physical memory (RAM) by a factor 2 to 3.

Setting up the board
Left clicking somewhere on the board adds a checker, right clicking removes one. In the options menu you can determen whether you want to play to the left or right.

Accuracy
All values are computed with an accuracy of 7 digits. You can change the number of digits that is shown in the options menu. The program considers all possible dice throws and double/redouble sequences right to the end of the game.

Equity
The program computes the following values:
Winning percentage:
        The chance in % that one wins the game, not considering the cube.

Cubeless equity:
        Equity is the average profit you expect to make in a given position: the winning chance minus your losing chance. The cubeless equity does not consider the doubling cube.

Roller's cube equity
       The equity if the roller is holding the doubling cube.

Centered cube equity
        The equity if the doubling cube is still centered.

Opponent's cube equity
        The equity if your opponent is holding the cube.

Roller's cube, action
        Shows if one has to redouble if he already owns the cube.

Centered cube, action
        Shows if one has to double if the cube is still centered.

Best move
Show the best moves and their equity. Note that this is the equity before any doubling.
 

Harddisk-usage
There are very many backgammon bearoff positions. Exact backgammon stores all these positions on hard-disk. The amount of harddisk space grows exponentially with the number of checkers. For 5 checkers on each side this takes 3.2 Mb of space, for 8 checkers 137 Mb and for all 15 checkers 44 Gb. This limits the number of checkers the program can comfortably handle to about 10, on a computer with 128 Mb memory.

Disclaimer
Useage of this program is your own risc. MDG Software is in no way responsible for the use of this software. MDG Software does not garantee the correct working of the program.

Contact
Exact Bearoff is copyright 1999, 2000, MDG Software. Re-distribution is prohibited.

MDG Software
mdgsoft@xs4all.nl
http://www.xs4all.nl/~mdgsoft/bearoff