Author: Larry Griffiths
Date: 17:28:28 02/01/01
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On February 01, 2001 at 08:40:23, Severi Salminen wrote: >>I would also like to know these things. It looks like my branching factor is >>varying from 3 to 6 on average. Are these results for chess? Is it from the >>initial board position? > >Yes, we are still talking about chess :) And we are talking about position after >1.e4 e5 2.d4 d5 .The EBF depends a little on how you calculate it. My 3.6 is >from: > >EMF=pow(leaf_nodes/legal_rootmoves, 1/(depth-1)); > >If I use time for calculation my EBF from ply 8 to 9 is about 2.9. And you >probably get similar results if you use the node count from successive plies. >Could you post your numbers on this position also? I'll post mine tomorrow when >I get to the right computer. Also indicate how you calculate EBF. (Effective >Branching Factor) > >Severi Using this position... [D]rnbqkbnr/ppp2ppp/8/3pp3/3PP3/8/PPP2PPP/RNBQKBNR w KQkq d6 0 3 My program does not have code to setup the d6 en-passant square so the totals below do not account for this... I made 2 runs. Both runs use negamax with alpha/beta cutoffs and 1 killer with interative deeping. The first run scores only material. The second run always returns a score of zero. The BF column is a branching factor that I calculate by dividing ply/moves by ply-1/moves. BF does not use decimal points. Leaf Effective Branching Factor is Leafnodes/Rootnodes^1/(Depth-1) TLeaf Effective Branching Factor is Totalnodes/Rootnodes^1/(Depth-1) I do not get smooth regular branching factors. They tend to be much higher on even plys. Elapsed Time= 85.56 seconds Ply ---CAPTURES-- -----MOVES----- -----TOTAL----- BF 1 16 288 304 2 2 307 566 873 12 3 1,015 10,224 11,239 2 4 10,061 18,174 28,235 10 5 29,735 271,993 301,728 2 6 248,747 489,118 737,865 9 7 787,016 6,063,615 6,850,631 1 8 4,462,525 8,069,477 12,532,002 6 9 9,669,768 68,076,351 77,746,119 0 _____________ _______________ _______________ 15,209,190 82,999,806 98,208,996 Captures/Moves Per Second= 1,147,797 Leaf Effective Branching Factor= 4.74 TLeaf Effective Branching Factor= 6.24 ----------------------------------------------------------------------- Elapsed Time= 43.16 seconds Ply ---CAPTURES-- -----MOVES----- -----TOTAL----- BF 1 16 288 304 2 2 304 304 608 16 3 707 9,408 10,115 1 4 8,574 8,436 17,010 14 5 18,460 220,600 239,060 1 6 176,288 195,692 371,980 11 7 416,115 4,005,585 4,421,700 1 8 2,745,104 2,814,264 5,559,368 7 9 4,345,790 35,926,605 40,272,395 0 _____________ _______________ _______________ 7,711,358 43,181,182 50,892,540 Captures/Moves Per Second= 1,179,269 Leaf Effective Branching Factor= 4.37 TLeaf Effective Branching Factor= 5.75 Larry.
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