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Subject: Re: 16,000 Hammers in Sandia supercomputer--Deepest Fritz?

Author: Robert Hyatt

Date: 20:25:36 10/22/02

Go up one level in this thread


On October 22, 2002 at 22:45:44, stuart taylor wrote:

>On October 22, 2002 at 16:21:40, Robert Hyatt wrote:
>
>>On October 22, 2002 at 14:53:21, stuart taylor wrote:
>>
>>>On October 22, 2002 at 11:40:40, Robert Hyatt wrote:
>>>
>>>>On October 22, 2002 at 01:13:43, Timothy J. Frohlick wrote:
>>>>
>>>>>Sandia Labs is just down the street from me on Kirtland Air Force Base.
>>>>>I lived about 1 kilometer from the labs when I lived on base.  This "Red
>>>>>Storm" machine will do 40,000,000,000,000 operations per second.  Put Fritz X
>>>>>on that and smoke it.
>>>>>
>>>>
>>>>Put fritz on that and it will use exactly one cpu.  That machine is pure
>>>>message-passing.
>>>
>>>If it would use all, I think it should solve chess.
>>
>>Chess is exponential.  Even if it had 16,000 X 16,000 processors, it would not
>>be anywhere near enough.
>
>I know that required speed would be extremely great. But there must be a limit
>at which chess would actually be solved, even if impossible to arrange.
> And with the application of enough intelligence, that amount of speed could be
>reduced significantly to still get the playing strength to a level that will
>never lose any game to any machine or man.
> I'm not speaking about if it is possible to arrange that in existing levels of
>hardware in a PC of today.
>S.Taylor
>>

The math is not so hard.  If we take the relatively low estimate of 2^168 total
possible
positions, which ignores  repetition issues and the like, then alpha/beta needs
to search
roughly 2^84 positions.  that turns into 10^25 nodes.  If you search 1M nodes
per second,
you need 10^19 seconds.  If you go 1B nodes per second, 10^16 seconds.  One
trillion nodes
per second, 10^13 seconds.

10^13 seconds is 318,000 years.  A _long_ time.  even at 1 trillion nodes per
second, which
is actually doable should someone like Hsu decide to build a new DB-3 machine...


>>
>>>
>>>S.Taylor
>>>>
>>>>
>>>>>
>>>>>TJF
>>>>>
>>>>>On October 22, 2002 at 00:06:51, Sally Weltrop wrote:
>>>>>
>>>>>>http://www.theregister.co.uk/content/3/27718.html



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