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Subject: Re: How many nodes do you need to search 15 plies?

Author: Amir Ban

Date: 03:07:11 07/22/00

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On July 21, 2000 at 22:40:16, blass uri wrote:

>[D]2k1rr2/pp1n2p1/2p1n1p1/3pP3/5qPP/P4NR1/1PP1QP2/1K1NR3 w - - 0 1
>This is one of the positions from deeper blue-kasparov(game 4 before 23.Nc3)
>
>Deep blue claims that they could search 15 plies in 15 seconds that is
>200,000,000*15 nodes=3,000,000,000 nodes
>
>I am interesting to know if you can search 15 plies with no pruning and no
>extensions with less than 3,000,000,000 nodes.
>
>You can use evaluation of 0 for all the moves so you will always have a perfect
>order of moves.
>
>You can use hash tables.
>please tell me how many nodes you need to see
>1 ply,2 plies,....15 plies and how many plies do you need to fill the hash
>tables.
>
>repeat the experiment with smaller hash tables in order to guess if bigger hash
>tables can help significantly.
>
>Here is Deep blue logfile in the relevant position
>
>3(4)[Nc3](30) 30^ T=0
>nd1c3 Qf4g3r pf2g3Q Rf8f3n
> 3(5) 61^ T=0
>qe2e3 Qf4e3q re1e3Q Rf8f4 ph4h5 Pg6h5p pg4h5P
> 3(5) 68  T=0
>qe2e3 Qf4e3q re1e3Q Rf8f4 ph4h5 Pg6h5p pg4h5P
> 4(5) 78  T=0
>qe2d3 Ne6c5 qd3g6P Qf4g3r
> 5(5)[Qd3](74)[Qe3](82)[Nc3](86) 86  T=0
>nd1c3 Ne6d4 nf3d4N Qf4g3r pf2g3Q Nd7e5p
> 6(5)[Nc3](75) 75  T=1
>nd1c3 Pg6g5 ph4g5P Qf4g3r pf2g3Q
> 7(5) #[Nc3](78)############################# 78  T=2
>nd1c3 Nd7c5 qe2e3 Qf4e3q pf2e3Q
> 8(6) #[Nc3](61)############################# 61  T=5
>nd1c3 Nd7c5 pb2b4 Nc5d7 pb4b5
> 9(6) #[Nc3](74)############################# 74  T=15
>nd1c3 Nd7c5 pb2b4 Nc5d7 pb4b5 Ne6d4 nf3d4N Qf4d4n pb5c6P
>10(6) #[Nc3](65)############################# 65  T=102
>nd1c3 Nd7c5 pb2b4 Nc5a6 pb4b5 Na6c5 pb5c6P Pb7c6p kb1a2 Rf8f7
>11(6)[TIMEOUT] 65  T=159
>nd1c3
>
>Uri

This is an ingenious experiment. I'm going to let others take it up, but well
done for thinking it up.

Amir






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