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Subject: Re: obvious example

Author: Tony Werten

Date: 22:35:16 10/03/01

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On October 03, 2001 at 14:05:27, Robert Hyatt wrote:

>On October 03, 2001 at 11:54:18, Uri Blass wrote:
>>
>>
>>I did not say that super linear improvement is possible for the best search
>>algorithm.
>>The point is that I believe that humans did not find the best search algorithm.
>>
>
>That I won't address.  But at the moment, minimax with alpha/beta pruning is
>the best there is.  And _that_ will not produce a super-linear speedup.  In
>fact, _no_ algorithm can possibly produce one, if the comparison is done the
>right way.  A new search paradigm might produce a speedup > 2 using two
>processors, if it is compared to serial alpha/beta.  But then that new paradigm
>would produce a speedup > 1 when compared with a 1-processor new algorithm vs
>1 processor alpha/beta.
>
>Can't compare apples and oranges.
>
>And if you compare apples to apples, a super-linear speedup is impossible.
>
>
>
>>I do not express an opinion about the question if Diep has super linear
>>improvement.
>>
>>I believe that nor Diep neither other programs are close to have the best
>>possible search algorithm.
>>One of the reason is the fact that Diep and most of the other programs do not
>>use pruning rules except null move.
>>
>>I do not say that finding good selective search rules is an easy task and it is
>>possible that we need a lot of programmers to investigate the problem if we want
>>to get a big improvement by selective search but I believe that it is
>>theoretically possible by thousands of pruning rules (when everyone of them may
>>be relevant only in 1/1000 of the cases) to get a significant improvent.
>>
>>Uri
>
>
>Nothing wrong with any of what you wrote.  But it doesn't contribute to the
>super-linear speedup discussion.  I'm still waiting on any algorithm that
>someone claims produces a super-linear speedup when comparing the same algorithm
>with 1 processor to the same algorithm with > 1 processors, for any N they
>choose.  Simple math will poke a hole in any such example...

Yes, putting it this way.

I'll even go further. A serial algoritm will give a zero speedup on a
multiprocessor since it will only use 1 processor.

That's the whole point. A parallel search is by definition different from a
serial search. This difference could have an additional value > than the
parallel overhead. That was what this discussion was about (at least mine).

Tony



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