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Subject: Re: How many GHZ for IGM to never win and then always lose? -- Never.

Author: stuart taylor

Date: 15:17:51 08/31/00

Go up one level in this thread


On August 31, 2000 at 16:09:53, Uri Blass wrote:

>On August 31, 2000 at 15:59:44, Dann Corbit wrote:
>
>>On August 31, 2000 at 15:41:39, stuart taylor wrote:
>>
>>>If you had D.O. 200 plies brute force for every move, I think there can be no
>>>question about it, that GM will always lose! If one time it was a draw, the GM
>>>could be justly proud of himself, even if he was world champion.
>>>I can't imagine how much mhz that would be, though.
>>>S.Taylor   (maybe 1 with 6-700 naughts).
>>
>>A trillion terahertz computer could come nowhere close to 200 plies.  Probably
>>closer to 20.  Consider this little list:
>>White(1): perft 2
>>total moves=400  time=0.00
>>White(1): perft 3
>>total moves=8902  time=0.01
>>White(1): perft 4
>>total moves=197281  time=0.29
>>White(1): perft 5
>>total moves=4865609  time=6.60
>>White(1): perft 6
>>total moves=119060324  time=164.04
>>
>>Draw yourself a graph.  Imagine what time looks like at 20.  That search would
>>play infallible chess, but most real searches don't work like that.  They
>>examine the square root of the node counts.  So work out about what it will look
>>like at 20, and take the square root.  You will still find that the square root
>>of a truly ridiculous number is still a ridiculous number.
>>
>>With massive pruning, it might get deeper, but then it would be open to errors
>>like null move zugzwang situations, etc.
>>
>>Dann Corbit makes a prophecy:
>>"Computers will *never* (and I do mean never, ever, ever no matter how many
>>years forward -- millions of years, billions of years, trillions of years) fully
>>examine 200 plies forward at tournament time controls of 40/2."
>
>If we assume that they get twice faster every 18 monthes they need less than 900
>years to examine 200 plies forward.
>
>In the case that they get twice faster every 18 monthes they can see 2 plies
>deeper in 9 years(assuming a branching factor of 8).
>
>They can see 200 plies deeper than today in only 900 years(assuming a branching
>factor of 8).
>
>I do not believe in this assumption but the question is when do you expect the
>improvement in hardware to stop.
>
>Uri

I think the speed race will end in 5-10 years.
S.Taylor



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