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Subject: AB_FOOL

Author: Ed Schröder

Date: 22:33:38 05/31/00

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On May 31, 2000 at 18:54:42, Heiner Marxen wrote:

>On May 31, 2000 at 17:38:52, Robert Hyatt wrote:
>
>>On May 31, 2000 at 17:25:22, blass uri wrote:
>>
>>>On May 31, 2000 at 17:21:05, blass uri wrote:
>>><snipped>
>>>>If people want to get an estimate how much better they can improve the move
>>>>ordering then I suggest to develop 2 programs.
>>>>
>>>>1)Program A searches with the same extensions of the original program when only
>>>>the order of moves may be different because it gets it from program B
>>>>
>>>>2)program B searches for the best move ordering and gives program A only the
>>>>knowledge about the order of moves to search.
>>>>
>>>>When you count nodes count only nodes of program A to get a fixed depth and
>>>>compare it with the number of nodes of the original program to get the same
>>>>depth.
>>>>
>>>
>>>I can add that I think that this is not a simple task to write the programs A
>>>and B(when the main problem should be writing program B that searches for the
>>>smallest tree to produce a cutoff).
>>>
>>>Uri
>>
>>
>>There are two issues:
>>
>>(1) you can write code to prove that one move is better than another, simply
>>by searching both moves.
>>
>>(2) you can _not_ write code to choose a move that leads to the smallest sub-
>>tree, without first searching the moves.  Otherwise there is no way to compare
>>them.  And once you have searched them, there would be no benefit to then
>>searching the move with the smallest tree _again_.
>>
>>This is one of those "you can't answer the question until you do the search, and
>>once you have done the search, it is too late to ask the question."
>
>It can be done where iterative deepening is done:  you measure the number
>of nodes searched for the moves, and when searching with increased depth,
>after the first move you order the others in increasing node number from
>the last depth.
>
>I vaguely remember that this has been discussed here and is already done.
>If so, has anyone ever measured the effect (speed up) of such sorting?
>
>Heiner

I am working on such a technique but so far I am not able to get a clear
speed-up although I feel the potential somehow is there. I will explain
in the hope to get some feedback here or by email.

Whenever a move is "good enough" for an A/B cutoff it is likely there are
(say) 3 other moves that will also produce a cutoff. So in total you have
4 (good) moves sufficient for a cutoff. But since you only search the first
one you will never know if move 2-4 will a) be better in score and/or b)
will produce a shorter sub-tree (lesser nodes) and therefore moves 2-4 are
candidates to improve move-ordering, -> faster search.

The idea is to fool (ignore) A/B so that the engine is forced to look at more
alternatives (in our example 3), thus is total 4 moves are searched. You then
decide which one of the 4 will be used for move-ordering (store in hash table).

Criteria:
a) the one with the best score is used
b) the one with the smallest nodes is used

How to fool A/B:
Totally ignoring A/B is a bad idea since you still can get stuck in a 4-5 ply
search after 1 minute. But when you set a small fixed "A/B fool window" on beta
you will notice the "A/B fool" search becomes reasonable fast. When I set the
value of the "fool window" to 0.25 I am still able to get 5-7 plies in the mid-
game within the first 10 seconds of the search.

And that is exactly the idea: let the engine search for 10 seconds with "A/B
fool" in the hope of better move-ordering in order to get back the invested
10 seconds and hopefully a lot more.

The idea really works as in 80% of the cases the algorithm is at least able
to get back the invested 10 seconds. But overall after testing about 200
positions the gain is only a disappointing 1%.

On the other hand it proves the idea has potential. Maybe using 5 seconds
instead of 10 will have the same effect on move ordering and then the gain
is automatically more. Maybe one should increase or decrease the "fool
window". I haven't tested these options yet.

Of course the idea is only valid on longer time controls. A formula to control
the "A/B fool search" could be: seconds=average time/16 (or so).

Ed



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