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Subject: Re: Is improvement from hash tables in middle game linear or exponential?

Author: Dann Corbit

Date: 11:52:51 12/22/03

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On December 20, 2003 at 08:23:24, Vincent Diepeveen wrote:

>On December 19, 2003 at 22:05:11, Dann Corbit wrote:
>
>>On December 19, 2003 at 21:07:40, Uri Blass wrote:
>>
>>>I am interested if programmers can do the following experiment.
>>>
>>>Take the GCP test suite(delete endgame positions from it) and test your program
>>>twice.
>>>
>>>one time with 1 mbyte hash tables and one time with 2 mbytes hash tables.
>>>
>>>of course 2 mbytes is better but the question is if 2 mbytes gives 6-7% speed
>>>improvement for all problems (except easy problems that are solved in less time
>>>that is needed for the program to fill the entries of 2 mbytes hash table) or if
>>>it gives bigger improvement for hard problems that the program needs some
>>>minutes to solve.
>>>
>>>I asked to use very small hash tables in order to enable programs to fill the
>>>hash tables in a very small time.
>>>
>>>I agree that bigger hash table probably means better branching factor at the
>>>time that is enough only to fill the small hash and not enough to fill the
>>>bigger hash but the question is what happens later.
>>
>>The curve looks like c0*log(c1*x+1), where c0 anbd c1 are constants and x is
>>hash size.  Y is performance increase.  Stupendous at first, and never goes
>>away, but the added strenght becomes less and less.
>>
>>You can make too large of a hash table if you clear hash frequently (e.g.
>>between moves) and the hash clear time becomes significant.
>
>I see a formula above. Can you please write down your formula out for next 2
>experiments:
>
>experiment A) I ran diep at 460 processors with 115MB hashtable *in total*
>experiment B) Same diep version at 460 processors with 115GB hashtables.
>
>Note hashtable means transpositiontable here. Each processor had local 4.2MB
>pawnhashtable and each processor had local 32MB evaluation table.
>
>Please write down according to your formula how much deeper B was supposed to
>search than A after 10 hours of search.

I have no idea.  I have never seen experimental data for MP search.
I have never made experiments for that model of MP search.
Therefore, any sort of extrapolation would be nothing more than a wild guess.

What have you measured with your program?



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