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

Author: stuart taylor

Date: 13:14:15 08/31/00

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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."

I said much much more than a trllion terrahertz!
And if you multiply 35x35x35 200 times, I think that should be about 200 plies.
S.Taylor



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