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Subject: Re: Is the Depth directly proportional to the program's strength?

Author: Odd Gunnar Malin

Date: 11:21:50 02/03/02

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On February 03, 2002 at 13:32:42, William H Rogers wrote:

>Here is an item from Chess Skill in Man and Machine
>One of the first programs written for computers and later turned into Deep Blue
>well, I least I think that it lead to Deep Blue.
>The ran a series of 300 games, playing the program against itself with only
>different ply settings to see the difference in playing strength.
>Here are the results:
>
>    Rate  P4    P5    P6    P7    P8    P9
>P4  1235  --    5.0          .5    0     0
>P5  1570  15   --    3.5    3.0   .5     0
>P6  1826  19.5 16.5  ---    4.0  1.5    1.5
>P7  2031  20   17    16     ---  5.0    4.0
>P8  2208  20   19.5  18.5  15.0  ---    5.5
>P9  2328  20   20    18.5  16.0 14.5    ---
>
>As you can see in the lower ply numbers the program gained the most strenght,
>but as the ply level got higher the rating increase became smaller and smaller.
>It would be nice to see some math on a curve to estimate the over all effects.
>Bill

P5-P4 15.0-5.0
...
P9-P8 14.5-5.5

Not convincing, but the number of games seems small 20 game each.
I think I recognize this table as the Belle test from 1983 I have only the
number with one ply difference but these numbers are the same.

There was a new selfplay test by Heinz (ICGA June 2001) with Fritz 6 and 3000
games each:
 P6-P5  2143.5 -  856,5
 P7-P6  2176.0 -  824.0
 P8-P7  2063.0 -  937.0
 P9-P8  2050.5 -  949.5
P10-P9  1977.5 - 1022.5
P11-P10 1886.5 - 1113.5
P12-P11 1855.0 - 1145.0
The difference when increasing the ply was primary from more drawn games.

Odd Gunnar



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