Author: Bernhard Bauer
Date: 04:10:46 01/19/98
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Hallo, I want to add some numbers to the hash table discussion. This applies only? to Crafty. Since the Fine position No 70 heavily depends on a hash table, I use this well known posuition. The hash table sice varies from the min of 64 kb up to 24 Mb. Crafty v14.4 White(1): egtb 0 White(1): time cpu White(1): sd 31 search depth set to 31. White(1): hashp 640k pawn hash table memory = 640K bytes. +---+---+---+---+---+---+---+---+ 8 | | | | | | | | | +---+---+---+---+---+---+---+---+ 7 | *K| | | | | | | | +---+---+---+---+---+---+---+---+ 6 | | | | *P| | | | | +---+---+---+---+---+---+---+---+ 5 | *P| | | P | | *P| | | +---+---+---+---+---+---+---+---+ 4 | P | | | P | | P | | | +---+---+---+---+---+---+---+---+ 3 | | | | | | | | | +---+---+---+---+---+---+---+---+ 2 | | | | | | | | | +---+---+---+---+---+---+---+---+ 1 | K | | | | | | | | +---+---+---+---+---+---+---+---+ a b c d e f g h White(1): setboard 8/k7/3p/p2P1p/P2P1P///K w White(1): d White(1): d hash depth time score trans/ref pawn used w used b nps 64k 31-> 34.82 2.85 79% 99% 98% b96% 109889 96k 31-> 23.34 3.04 53% 99% 99% b98% 125695 192k 31-> 25.12 3.04 66% 99% 99% b98% 122916 384k 31-> 17.73 3.02 74% 99% 99% b98% 126340 768k 31-> 9.85 3.25 90% 99% 99% b98% 125667 1.5M 31-> 6.50 3.25 121% 99% 79% b92% 126525 3M 31-> 3.17 3.25 136% 99% 27% b37% 123640 6M 31-> 34.66 2.85 79% 99% 98% b96% 110491 12M 31-> 34.25 2.85 82% 99% 88% b83% 109862 24M 31-> 36.02 2.85 84% 99% 68% b62% 110227 As we might espect, the solution time decreases as the hash table size increases. However, after reaching a min of 3.2 sec the solution time jumps up by a factor of 10! So it looks like there is an optimal hash size, at least for Crafty and this problem. The solution move Kb1! is found on ply 19 for a hash table size of 3M. For a hash table size of 24M Crafty needs 26 plies. My be there is something unclear for Crafty? Are there similar results available for other programs? Kind Regards Bernhard
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