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Subject: Re: IBM's latest monster

Author: Vincent Diepeveen

Date: 06:02:37 12/07/99

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On December 06, 1999 at 15:33:03, Robert Hyatt wrote:

>On December 06, 1999 at 13:00:56, Georg v. Zimmermann wrote:
>
>>>A thousand fold increase would be
>>>what, an additional 6 ply search in the same time?
>>
>>Lets do some math. 40^x = 1000,  40log 1000 = x, x = 10log1000 / 10log40, x =
>>3/10log40 = 3 / 1.5 = 1.9
>>
>>I think it gets you "1.9 ply" deeper if you do brute force. Now we need someone
>>to tell us how much that is if you add HT and other modern wunder drugs.
>>But I would be very very suprised if you'd reach +6ply.
>
>
>DB has an effective branching factor of roughly 6, about the same as Cray
>Blitz, which didn't use R=2/recursive null move.  Log6(1000) is at most 4,
>so it would get about 4 plies deeper.  Certainly nothing to sneeze at...

see different post of me. DB may be happy with a b.f. from 10.33

>But then again, this math is really wrong, because for each cpu, DB used
>16 chess processors.  Each chess processor could search about 2.4M nodes per
>second (they used almost 500 for DB2 the last match).  With one million
>processors, they would then have 16M chess processors, and would be
>searching about 40,000,000,000,000 nodes per second.  At about 1 billion
>(max) for DB2, this would be 40,000 times faster.  and log6(40000) is 6,
>so they could hit about 6 plies deeper.  Very dangerous box...

the more processors the smaller the speedup. just attaching all processors
to the search might take a few minutes.

Note that HSU writes that they got very close to 1 billion positions a
second but never hit the magic 1 billion positions a second number.

Vincent






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