Author: Peter Kasinski
Date: 07:50:28 01/10/06
I have completed an exhaustive search for all 6-man positions reached in two large databases. Sources: - Big Database 2006 with updates until Jan ’06 for 3,216,177 games. - SSDF database (Big and New) for 22,949 games. I have found these sources to be generally consistent in determining the most frequently occurring 6-man positions: a) Top three tablebases are the same (with no. 1 and 2 switching places). b) Of the 30 most frequently occurring 6-man positions, 29 are the same in both sources. That said, there are some key differences. In human games 6-man positions were found in only 198,884, or just 6.18 % of games. In contrast, comp-comp games reached 6-man positions in 9,926 of 22,949, representing 43.25% of all games. Another difference is in the more even distribution of 6-man positions in comp-comp games. To illustrate: one would need only 42 TBs files to cover over 90% of cases occurring in human games. To reach the same 90% mark in comp-comp games one would need a set of 83 tablebases. Top 50 TBs from human games: 1 krppkr 27,902 14.029% 2 krpkrp 25,779 12.962% 3 kppkpp 19,150 9.629% 4 kpppkp 8,474 4.261% 5 kbpkpp 7,043 3.541% 6 krpkpp 6,966 3.503% 7 knpkpp 6,487 3.262% 8 kbpknp 5,389 2.710% 9 krpkbp 4,648 2.337% 10 kqpkpp 4,630 2.328% 11 kbppkb 3,680 1.850% 12 krppkp 3,529 1.774% 13 knppkn 3,528 1.774% 14 kbppkp 3,499 1.759% 15 knppkp 3,098 1.558% 16 krpknp 3,095 1.556% 17 knppkb 3,083 1.550% 18 knpknp 2,910 1.463% 19 kqpkqp 2,823 1.419% 20 kbpkbp 2,525 1.270% 21 kbppkn 2,514 1.264% 22 kqppkq 2,302 1.157% 23 kqppkp 2,240 1.126% 24 krbpkr 2,181 1.097% 25 kpppkr 2,168 1.090% 26 krbkrp 2,017 1.014% 27 kqpkrp 1,909 0.960% 28 krnpkr 1,875 0.943% 29 kbppkr 1,644 0.827% 30 krnkrp 1,555 0.782% 31 kqrkrp 1,521 0.765% 32 kpppkn 1,243 0.625% 33 knppkr 1,208 0.607% 34 kpppkb 1,124 0.565% 35 kpppkq 1,027 0.516% 36 krppkb 805 0.405% 37 krppkq 789 0.397% 38 krpppk 719 0.362% 39 kqrpkr 670 0.337% 40 krppkn 651 0.327% 41 kqpknp 549 0.276% 42 kqpkbp 531 0.267% 43 kbnpkr 494 0.248% 44 kqpppk 479 0.241% 45 kppppk 456 0.229% 46 kbnpkb 424 0.213% 47 kbpppk 416 0.209% 48 krrkrp 400 0.201% 49 kqbpkp 396 0.199% 50 kqrpkp 381 0.192% ...and top 50 from comp-comp games: 1 krpkrp 1,148 11.566% 2 krppkr 690 6.951% 3 kppkpp 460 4.634% 4 kbpknp 299 3.012% 5 kbpkpp 289 2.912% 6 krpkpp 276 2.781% 7 kqppkp 265 2.670% 8 kpppkp 252 2.539% 9 kbpkbp 238 2.398% 10 krbkrp 219 2.206% 11 knpkpp 207 2.085% 12 krppkp 199 2.005% 13 krpkbp 199 2.005% 14 kbppkp 189 1.904% 15 kqpkqp 186 1.874% 16 kqpkpp 186 1.874% 17 krnkrp 178 1.793% 18 knpknp 156 1.572% 19 krbpkr 132 1.330% 20 knppkp 131 1.320% 21 krpknp 120 1.209% 22 kbppkb 116 1.169% 23 kqpkrp 108 1.088% 24 krnpkr 106 1.068% 25 knppkb 103 1.038% 26 kpppkr 100 1.007% 27 kqrpkr 96 0.967% 28 kqppkq 91 0.917% 29 kbppkr 91 0.917% 30 knppkn 84 0.846% 31 kqrkrp 84 0.846% 32 kbppkn 83 0.836% 33 kqbpkp 80 0.806% 34 kqrpkp 79 0.796% 35 krppkb 77 0.776% 36 kqqpkp 70 0.705% 37 kqpkbp 65 0.655% 38 krbpkp 59 0.594% 39 kqppkr 58 0.584% 40 knppkr 58 0.584% 41 krbkrn 56 0.564% 42 krppkn 55 0.554% 43 krppkq 53 0.534% 44 kpppkn 47 0.474% 45 kpppkb 45 0.453% 46 kqqppk 44 0.443% 47 krrkrp 44 0.443% 48 kqbppk 43 0.433% 49 kqpppk 43 0.433% 50 kqnpkp 42 0.423% For those interested in seeing all results, I have posted them in the new CCRL Discussion Board Forum organized by Kirill Kryukov. For those looking to share Tablebases online this is a great new place to visit. Cheers, PK
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