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

Author: David Rasmussen

Date: 05:38:37 01/31/02

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On January 31, 2002 at 07:56:21, Albert Silver wrote:

>>Say 200K is good for 8 plies average, being 1000 x faster with a branching
>>factor of 4 gives: 4x4x4x4x4 = 1024 -> 5 extra plies.
>>
>>So with 200M NPS you might be able to search 13 plies brute force in best case.
>>
>>Subtract a couple of plies (1 to 3) for the way DB did singular extensions and
>>the picture fits, that is: DB was searching 10-12 plies as the log files
>>confirm.
>>
>>This 12(6) isn't 18, you must have misunderstood its meaning.
>>
>>Ed
>
>I will add this, as I cannot comment on the numbers and math presented. I have a
>lot of trouble believing Kasparov would go down to a program hitting only 10-12
>plies in a 6-game 40/2h match. Either it is amazingly smart with a super eval,
>which all evidence suggests it had serious tuning issues with, or it is doing
>some very deep calculating.
>
>                                      Albert

DB search had smart extensions (esp. singular extension) which made it
tactically stronger than a 12-ply search might suggest. Also, if it is true that
they avoided a lot of forward pruning (did they have null move?), their 12 ply
counts for more than a modern heavily forward pruned 12-ply search. I don't
know. Deep Blue might have been able to search to 18 ply in the middlegame, but
then they had more pruning than I thought. An optimal ordered alpha-beta tree to
18 ply with 40 moves avg. without any smart pruning etc. cannot be done even
with 200 Mn/s, I think. I might be wrong.

/David



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