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Subject: Re: To do a Brute Force of 9 Ply, how many Positions are Searched?

Author: Dann Corbit

Date: 16:33:48 07/30/99

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On July 30, 1999 at 18:01:15, Terry Ripple wrote:

>  I noticed that several of the top programs will initially do a brute force
>followed by a selective search. For instance, when it shows a 9/30 in it`s
>search, does this mean that it`s performing 9 ply brute force and then
>performing up to 30 ply selective to complete its search for the position? I`am
>using the Hiarcs 7.32 program!
>
>  So, getting back to my question: If my program performs a 9 ply brute force
>search, then this means it`s searching every possible move on the chess board to
>complete a 9 ply brute force. This seems that it would need to search billions
>of moves at times to complete such a task that comes from a brute force search.
>This seems almost impossible with a home PC to  do this kind of search with a
>time control of 40/2hrs., but i know that it is doing this very task as this is
>what it shows!
>
>  How many moves or positions does it look at to perform a 9 ply brute force?

Here is a repost of an article by Michel Langeveld
ML]  Subject: FULL ply 9 is 2.439.530.234.167 positions!!!!!!!!!!!!!!!
ML]  From: Michel Langeveld
ML]  E-mail: rudolf@stad.dsl.nl
ML]  Message Number: 57423
ML]  Date: June 22, 1999 at 12:11:54
ML]
ML]  Hello Chess World!!
ML]
ML]  the complete table becomes:
ML]
ML]  Ply(0) Nodes=             1
ML]  Ply(1) Nodes=            20 = 20,00x ply(0)
ML]  Ply(2) Nodes=           400 = 20,00x ply(1)
ML]  Ply(3) Nodes=          8902 = 22,26x ply(2)
ML]  Ply(4) Nodes=        197281 = 22,16x ply(3)
ML]  Ply(5) Nodes=       4865609 = 24,66x ply(4)
ML]  Ply(6) Nodes=     119060324 = 24,47x ply(5)
ML]  Ply(7) Nodes=    3195901860 = 26,84x ply(6)
ML]  Ply(8) Nodes=   84998978956 = 26,60x ply(7)
ML]  Ply(9) Nodes= 2439530234167 = 28,70x ply(8)
ML]
ML]  Ply 9 is interesting because white-promotions and white long castling is
added
ML]  for the first time.
ML]
ML]  Volunteers for doing ply 10 or verify ply 9 :-P ? Maybe we can calculate
this
ML]  distributedly...
ML]
ML]  Kind regards,
ML]
ML]  Michel Langeveld

Michel Langeveld, Andreas Stabel, and Steven J. Edwards post interesting
information on node counts from time to time.

It is not necessary to do a brute force search of 9 plies to find the best move
in that same arena.  If you use Alpha/Beta, only a fraction of that many nodes
are actually examined, yet the search provably comes to the same conclusion.



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