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Subject: Re: Crafty modified to Deep Blue - Crafty needs testers to produce outputs

Author: Dieter Buerssner

Date: 05:54:12 06/19/01

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On June 19, 2001 at 00:38:34, Robert Hyatt wrote:

>On June 18, 2001 at 15:46:13, Bas Hamstra wrote:

>>Not at all. Have you never tried Crafty without nullmove? See below my engine
>>output, rootposition. Where is the 6? I have never had 6, in my opinion 4,5 on
>>average is normal.
>>
>
>The "norm" is sqrt(W) where W is the number of moves at a position in  the
>tree.  In the middlegame, this is around 40 to 50.  In the endgame, much
>less.  The simple formula for total nodes searched will convince you that
>one more ply takes sqrt(W) more nodes.

I think, this is only true without hashtables. Not only pruning techiques, also
hashtables should decrease the branching factor. I cannot remember any quatative
data of this effect, but it may be enough to explain the number Bas has given.

Also, without hash-tables, without pruning but with search extensions, I think
even a higher branching factor has to be expected, because the "average search
depth" (however you define this ...) will be larger than the shown search depth.
Adding some plies depth will add these plies at least, but also some more nodes
due to the more extensions.

Regards,
Dieter




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