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Subject: Re: Aspiration window question

Author: Russell Reagan

Date: 22:33:22 08/29/03

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On August 30, 2003 at 00:50:46, Slater Wold wrote:

>On August 29, 2003 at 23:49:24, Mike Siler wrote:
>
>>I'm using aspiration search windows of the previous search value + or - half a
>>pawn. My question is this: when the search value falls outside this window, is
>>it generally better to go immediately to a full width search (+INF,-INF) or
>>should I increase the window a little bit, then increase it more if necessary?
>>
>>Michael
>
>If I understand it correctly the value returned must be > alpha and < beta to be
>useful. If it is >= beta, re-search with a bigger beta. If it is <= alpha,
>re-search with a lower alpha.

Better read Bruce's page on aspiration search. The section "Search Instability
Issues" discusses how this could blow up in your face, if you're not careful.

From http://www.brucemo.com/compchess/programming/aspiration.htm Bruce says:

"When I first added an aspiration window to my chess program, I assumed that if
I got a value back that was greater than or equal to beta, that the re-search
would result in a higher score the next time through.  Wrong!  I had hellacious
crashing problems.  Here is the code:

alpha = -INFINITY;
beta = INFINITY;
for (depth = 1;;) {
    val = AlphaBeta(depth, alpha, beta);
    if (TimedOut())
        break;
    if (val <= alpha) {      // WRONG!
        alpha = -INFINITY;
        beta = val + 1;
        continue;
    }
    if (val >= beta) {       // WRONG!
        beta = INFINITY;
        alpha = val - 1;
        continue;
    }
    alpha = val - valWINDOW;
    beta = val + valWINDOW;
    depth++;
}

The above code would work great if you could be sure that your re-search would
work. But of course what happened to me is:

1. The search with (alpha, beta) failed high.
2. The re-search with (beta - 1, INFINITY) failed low.
3. The re-search with (-INFINITY, alpha + 1) failed high.
4. And so on, and so on, and so on ...

Anything you write needs to prevent this."



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