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

Author: Dann Corbit

Date: 15:37:21 01/30/02

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On January 30, 2002 at 18:21:53, Tony Werten wrote:

>On January 30, 2002 at 14:15:32, Dann Corbit wrote:
>
>>On January 30, 2002 at 14:00:32, David Rasmussen wrote:
>>
>>>On January 30, 2002 at 09:43:49, Vincent Diepeveen wrote:
>>>
>>>I don't know anything about what Bob has stated, but I agree that 18 ply
>>>fullwidth was/is impossible, even with 200 Mn/s.
>>>
>>>Please email me how you do singular extensions, Vincent. :)
>>
>>I've done 18 ply searches with a PC.  What makes you think it is impossible for
>>a machine that can peak at one billion nodes per second?
>>
>>They did not use null move, but neither did they blindly search the whole tree.
>
>I'm very sure you didn't get 18 ply fullwidth.
>
>They had a branching factor of 4. You don't get 18 ply with that. Either you
>don't have that BF (pruning) or you don't get 18 ply ( just some extensions do)

Let's suppose (for a moment) that the hardware searches on the ends of the
branches were considered the equivalent of hash table hits.  Hence, they would
be pretty useless for PV and things of that nature without extra work, but they
would verify the value of the ending node.  What will that mean for the
throughput of the search?

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.

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.

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.




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