Author: Mark Rawlings
Date: 20:10:37 01/10/06
Go up one level in this thread
Would there be much difference in the list if we were looking at the tablebases _probed_ the most in the search? Maybe some of those would be more valuable than ones for positions actually reached. Mark On January 10, 2006 at 10:50:28, Peter Kasinski wrote: >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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