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Subject: Re: Mathematical impossibilities regarding Deep Blue statements by Bob

Author: David Rasmussen

Date: 03:58:28 01/31/02

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On January 30, 2002 at 18:37:21, Dann Corbit wrote:

>What does "fullwidth" mean in this context?  Obviously, it cannot possibly mean
>that every branch of the tree is examined exhaustively to 18 ply (which would be
>absurd).
>
>Was 18 ply claimed for the opening?  For the middle game?  For the endgame?  As
>a broad average?
>
>If (for instance) I take crafty or chess tiger or pepito and let it run
>overnight, and 18 ply search is not unusual in the least bit.
>

But Crafty does null move pruning and futility pruning in q-search etc. Deep
Blue didn't, I'm assuming. Of course with a "modern" search policy (especially
one like Tiger's, which seems extreme and very effective), a 200Mn/s machine can
reach 18 ply, but DB didn't do that, and it can hardly be called full width. In
this context (DB), I consider "full width" to mean not the entire minimax tree
to 18 ply in every line, but the "entire" alpha-beta tree for whatever move
ordering they might have had (90-95% first fail highs on avg. I assume), without
any forward pruning. That is a pretty big tree. Everything we are used to
measure everything against today, is forward pruned in some way. DB weren't, I
assume (again).

>How does that compare with deep blue at 10 minutes?
>
>I don't think it is certain (either for or against) and I don't think that the
>terms used are certain.
>
>Just like "ply" means 20 different things to 20 different programmers.  Even
>"nodes" does not always mean the same thing.
>

Agree with you on nodes, but ply? Ply is pretty well defined, I think.

>In computer chess, there really are no precise definitions, because nobody has
>done a standardization.  Therefore, the terms are very general.  I am not sure
>(either way) what the real search throughput was.
>
>At any rate, it was good enough to beat Kasparov.

Sure. I am not disagreeing with that :)

/David



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