Detailed analysis of 6-man frequencies.

Endgame analysis using tablebases, EGTB generation, exchange, sharing, discussions, etc..

Detailed analysis of 6-man frequencies.

Postby kasinp » Tue Jan 10, 2006 3:46 pm

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.

Details for Human games (3,216,177)

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%
51 krpkbn 379 0.191%
52 krrpkr 365 0.184%
53 krbpkp 345 0.173%
54 krbkrn 344 0.173%
55 kbnkbp 342 0.172%
56 kbnpkp 340 0.171%
57 kqrppk 327 0.164%
58 knpppk 323 0.162%
59 kqppkr 317 0.159%
60 krnpkp 316 0.159%
61 kbnkpp 310 0.156%
62 knppkq 295 0.148%
63 kqnpkp 288 0.145%
64 kqbppk 263 0.132%
65 kqrkpp 258 0.130%
66 kbppkq 256 0.129%
67 kbnpkn 244 0.123%
68 kqnkpp 235 0.118%
69 kqbkpp 231 0.116%
70 kqnkqp 224 0.113%
71 krbppk 223 0.112%
72 kqrkqp 216 0.109%
73 krnkpp 207 0.104%
74 kbbpkb 203 0.102%
75 krbkrb 193 0.097%
76 kqnppk 191 0.096%
77 krnppk 185 0.093%
78 krbkpp 183 0.092%
79 kqbkqp 179 0.090%
80 kqbpkq 178 0.089%
81 krnkrn 176 0.088%
82 kqnpkq 174 0.087%
83 kbnknp 171 0.086%
84 kqpkrb 170 0.085%
85 krbkbp 166 0.083%
86 kqrpkq 157 0.079%
87 kqpkrn 142 0.071%
88 krbpkb 138 0.069%
89 kqbpkb 136 0.068%
90 krnknp 134 0.067%
91 kbbpkr 132 0.066%
92 krbknp 131 0.066%
93 kqqpkp 128 0.064%
94 kqnpkb 127 0.064%
95 krbpkq 121 0.061%
96 knnpkp 121 0.061%
97 kqnpkn 118 0.059%
98 kqbkrp 117 0.059%
99 krnkbp 115 0.058%
100 krnpkq 113 0.057%
101 krnpkn 112 0.056%
102 kqpkrr 112 0.056%
103 kqppkb 111 0.056%
104 kbbkbp 110 0.055%
105 krbpkn 107 0.054%
106 kqqkqp 107 0.054%
107 kqppkn 106 0.053%
108 knnpkn 105 0.053%
109 krrpkq 101 0.051%
110 knnkpp 101 0.051%
111 kbnppk 96 0.048%
112 kqnknp 96 0.048%
113 knnpkb 95 0.048%
114 kqqppk 93 0.047%
115 kqrbpk 92 0.046%
116 krrppk 92 0.046%
117 kbbpkp 92 0.046%
118 kqbpkr 90 0.045%
119 kqrkqr 90 0.045%
120 kqnkbp 90 0.045%
121 krpknn 86 0.043%
122 knnknp 86 0.043%
123 kqnkrp 85 0.043%
124 krrpkp 83 0.042%
125 krnpkb 82 0.041%
126 knnpkr 78 0.039%
127 kqqpkq 77 0.039%
128 krrkrb 75 0.038%
129 kqrnpk 74 0.037%
130 kqbpkn 74 0.037%
131 krpkbb 69 0.035%
132 kqqkpp 68 0.034%
133 kqrkbp 65 0.033%
134 kbbknp 65 0.033%
135 kbbkpp 63 0.032%
136 krrkrn 61 0.031%
137 kqnpkr 58 0.029%
138 krrkpp 57 0.029%
139 kqbkbp 54 0.027%
140 kqrbkr 53 0.027%
141 kqbknp 53 0.027%
142 kqqkrp 52 0.026%
143 kqpkbn 49 0.025%
144 kqrnkr 48 0.024%
145 kqbnpk 46 0.023%
146 kqqbpk 41 0.021%
147 kbnpkq 41 0.021%
148 krbnkr 38 0.019%
149 krbkbn 38 0.019%
150 kbbpkn 37 0.019%
151 kbbppk 35 0.018%
152 kbbkbn 35 0.018%
153 kqrknp 34 0.017%
154 kbpknn 34 0.017%
155 kqrkrb 33 0.017%
156 krrkrr 33 0.017%
157 kqrkrn 30 0.015%
158 kqrbkp 28 0.014%
159 kqbkqn 28 0.014%
160 krrpkb 27 0.014%
161 kqrnkp 25 0.013%
162 kqbnkr 25 0.013%
163 krrpkn 24 0.012%
164 krrkbp 24 0.012%
165 krrknp 24 0.012%
166 knnppk 23 0.012%
167 kqrpkn 23 0.012%
168 krbnkq 23 0.012%
169 krnnkr 22 0.011%
170 kqbbpk 21 0.011%
171 krbnpk 21 0.011%
172 kqqnpk 20 0.010%
173 kqrkqb 20 0.010%
174 kqnkqn 20 0.010%
175 kbnkbn 20 0.010%
176 kqqrpk 18 0.009%
177 kqrkqn 18 0.009%
178 krbnkp 17 0.009%
179 kqrrpk 16 0.008%
180 kqbnkp 16 0.008%
181 kqqkqr 16 0.008%
182 kqqkbp 16 0.008%
183 krnkbn 16 0.008%
184 krrbpk 15 0.008%
185 kbbpkq 15 0.008%
186 kqpknn 13 0.007%
187 kqrrkr 12 0.006%
188 kqbbkb 12 0.006%
189 kqbnkb 12 0.006%
190 kqpkbb 12 0.006%
191 krbkbb 11 0.006%
192 kqrpkb 10 0.005%
193 kqbkrn 10 0.005%
194 kqqqpk 9 0.005%
195 kqqbkp 9 0.005%
196 kqrnkq 9 0.005%
197 kqbnkq 9 0.005%
198 kqqknp 9 0.005%
199 kqrkbn 9 0.005%
200 kqbkrb 9 0.005%
201 kbbkbb 9 0.005%
202 kqrbnk 8 0.004%
203 kqqnkq 8 0.004%
204 kqqpkr 8 0.004%
205 krbbkr 8 0.004%
206 knnpkq 8 0.004%
207 kqqkqq 8 0.004%
208 kqbkqb 8 0.004%
209 krnknn 8 0.004%
210 krbbpk 7 0.004%
211 kqqnkp 7 0.004%
212 krrbkp 7 0.004%
213 krrnkq 7 0.004%
214 krnnkq 7 0.004%
215 kbbnkb 7 0.004%
216 krrkbn 7 0.004%
217 krrnpk 6 0.003%
218 kbnnpk 6 0.003%
219 kqqpkb 6 0.003%
220 kqrnkb 6 0.003%
221 kqqkqb 6 0.003%
222 kqqkrr 6 0.003%
223 kqqkrb 6 0.003%
224 kqnkrn 6 0.003%
225 kqbnnk 5 0.003%
226 kqnnpk 5 0.003%
227 kqqpkn 5 0.003%
228 kqrbkb 5 0.003%
229 kqbnkn 5 0.003%
230 krrbkr 5 0.003%
231 kbbnkr 5 0.003%
232 kbnnkr 5 0.003%
233 kbnnkb 5 0.003%
234 kqrkrr 5 0.003%
235 kqqqqk 4 0.002%
236 kqqqrk 4 0.002%
237 kqqqkp 4 0.002%
238 kqqrkp 4 0.002%
239 kqrrkp 4 0.002%
240 kqnnkp 4 0.002%
241 krrbkq 4 0.002%
242 krrnkr 4 0.002%
243 krrnkp 4 0.002%
244 kqqkqn 4 0.002%
245 kqrknn 4 0.002%
246 kqnkrb 4 0.002%
247 kqnkbb 4 0.002%
248 kqnknn 4 0.002%
249 kqqqnk 3 0.002%
250 kqqrnk 3 0.002%
251 kqrrbk 3 0.002%
252 kqrnnk 3 0.002%
253 kqqrkr 3 0.002%
254 kqrrkq 3 0.002%
255 kqbbkr 3 0.002%
256 kqnnkn 3 0.002%
257 krbbkq 3 0.002%
258 kbbnkp 3 0.002%
259 kbnnkn 3 0.002%
260 kbnnkp 3 0.002%
261 krrknn 3 0.002%
262 kqqqbk 2 0.001%
263 kqqrbk 2 0.001%
264 kqqbnk 2 0.001%
265 kbbbbk 2 0.001%
266 kbbbpk 2 0.001%
267 kbbnpk 2 0.001%
268 kqqnkr 2 0.001%
269 kqrbkn 2 0.001%
270 kqrnkn 2 0.001%
271 kqbbkq 2 0.001%
272 kqbbkp 2 0.001%
273 kqnnkq 2 0.001%
274 kqnnkr 2 0.001%
275 krnnkp 2 0.001%
276 kbbnkn 2 0.001%
277 kqbkrr 2 0.001%
278 kqbkbb 2 0.001%
279 kqbkbn 2 0.001%
280 kqnkrr 2 0.001%
281 kqnkbn 2 0.001%
282 krnkbb 2 0.001%
283 kbbknn 2 0.001%
284 kbnknn 2 0.001%
285 kqrrnk 1 0.001%
286 kqrbbk 1 0.001%
287 krrrrk 1 0.001%
288 krrrpk 1 0.001%
289 krnnpk 1 0.001%
290 knnnnk 1 0.001%
291 knnnpk 1 0.001%
292 kqqqkb 1 0.001%
293 kqqrkb 1 0.001%
294 kqqbkq 1 0.001%
295 kqqbkb 1 0.001%
296 kqqnkb 1 0.001%
297 kqrrkb 1 0.001%
298 kqrbkq 1 0.001%
299 kqbbkn 1 0.001%
300 kqnnkb 1 0.001%
301 krrrkr 1 0.001%
302 krrbkn 1 0.001%
303 krbbkb 1 0.001%
304 krbbkn 1 0.001%
305 krbbkp 1 0.001%
306 krnnkn 1 0.001%
307 knnnkn 1 0.001%
308 kqqkrn 1 0.001%
309 kqrkbb 1 0.001%
310 krbknn 1 0.001%
311 kqqrrk - 0.000%
312 kqqbbk - 0.000%
313 kqqnnk - 0.000%
314 kqrrrk - 0.000%
315 kqbbbk - 0.000%
316 kqbbnk - 0.000%
317 kqnnnk - 0.000%
318 krrrbk - 0.000%
319 krrrnk - 0.000%
320 krrbbk - 0.000%
321 krrbnk - 0.000%
322 krrnnk - 0.000%
323 krbbbk - 0.000%
324 krbbnk - 0.000%
325 krbnnk - 0.000%
326 krnnnk - 0.000%
327 kbbbnk - 0.000%
328 kbbnnk - 0.000%
329 kbnnnk - 0.000%
330 kqqqkq - 0.000%
331 kqqqkr - 0.000%
332 kqqqkn - 0.000%
333 kqqrkq - 0.000%
334 kqqrkn - 0.000%
335 kqqbkr - 0.000%
336 kqqbkn - 0.000%
337 kqqnkn - 0.000%
338 kqrrkn - 0.000%
339 krrrkq - 0.000%
340 krrrkb - 0.000%
341 krrrkn - 0.000%
342 krrrkp - 0.000%
343 krrbkb - 0.000%
344 krrnkb - 0.000%
345 krrnkn - 0.000%
346 krbnkb - 0.000%
347 krbnkn - 0.000%
348 krnnkb - 0.000%
349 kbbbkq - 0.000%
350 kbbbkr - 0.000%
351 kbbbkb - 0.000%
352 kbbbkn - 0.000%
353 kbbbkp - 0.000%
354 kbbnkq - 0.000%
355 kbnnkq - 0.000%
356 knnnkq - 0.000%
357 knnnkr - 0.000%
358 knnnkb - 0.000%
359 knnnkp - 0.000%
360 kqqkbb - 0.000%
361 kqqkbn - 0.000%
362 kqqknn - 0.000%
363 kqbknn - 0.000%
364 krrkbb - 0.000%
365 knnknn - 0.000%

Details for Comp games (22,949):

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%
51 kqrppk 40 0.403%
52 krpppk 40 0.403%
53 kqpknp 39 0.393%
54 kbpppk 32 0.322%
55 krpkbn 32 0.322%
56 krbpkq 31 0.312%
57 kpppkq 31 0.312%
58 kqppkb 30 0.302%
59 krbpkb 30 0.302%
60 krbkbp 30 0.302%
61 krnpkp 28 0.282%
62 krbkrb 28 0.282%
63 krrpkr 27 0.272%
64 kbnpkp 26 0.262%
65 kqbkpp 26 0.262%
66 krbkpp 26 0.262%
67 kqbkqp 25 0.252%
68 kbppkq 23 0.232%
69 kqqkpp 22 0.222%
70 kqpkrr 22 0.222%
71 krnkbp 22 0.222%
72 kqqbpk 21 0.212%
73 kqrkpp 21 0.212%
74 kqnkqp 21 0.212%
75 krbppk 20 0.201%
76 krnpkq 20 0.201%
77 knppkq 20 0.201%
78 krnkrn 20 0.201%
79 krpkbb 20 0.201%
80 kqnppk 19 0.191%
81 kqbpkr 19 0.191%
82 kbnknp 19 0.191%
83 kqqkqp 18 0.181%
84 kqrkqp 18 0.181%
85 krbknp 18 0.181%
86 kbnkbp 18 0.181%
87 kbnkpp 18 0.181%
88 kqbpkb 17 0.171%
89 kqnpkb 17 0.171%
90 kbbkbp 17 0.171%
91 kqrbkr 16 0.161%
92 kqrbkp 16 0.161%
93 kqrnkr 16 0.161%
94 kqrpkb 16 0.161%
95 kbnpkb 16 0.161%
96 kqqpkq 15 0.151%
97 kbbpkb 15 0.151%
98 krnknp 15 0.151%
99 krnkpp 15 0.151%
100 kqbpkq 14 0.141%
101 kqnpkq 14 0.141%
102 krbpkn 14 0.141%
103 krnpkb 14 0.141%
104 kbnpkr 14 0.141%
105 kqrkrb 14 0.141%
106 kppppk 13 0.131%
107 kqbpkn 13 0.131%
108 kqnpkn 13 0.131%
109 kqppkn 13 0.131%
110 kqrkrn 13 0.131%
111 kqrbpk 12 0.121%
112 kqnpkr 12 0.121%
113 krrpkq 12 0.121%
114 krnpkn 12 0.121%
115 kqbkbp 12 0.121%
116 kqnkrp 12 0.121%
117 kqpkrn 12 0.121%
118 knpppk 11 0.111%
119 kqqpkr 11 0.111%
120 kbbpkr 11 0.111%
121 kbbpkp 11 0.111%
122 knnpkp 11 0.111%
123 kqbkrp 11 0.111%
124 krrkrr 11 0.111%
125 kqbknp 10 0.101%
126 kqnkbp 10 0.101%
127 kqnkpp 10 0.101%
128 kqqbkp 9 0.091%
129 kqrpkq 9 0.091%
130 krrkrb 9 0.091%
131 kbbknp 9 0.091%
132 kqbnpk 8 0.081%
133 krnppk 8 0.081%
134 kqrnkp 8 0.081%
135 kqrpkn 8 0.081%
136 kbnpkn 8 0.081%
137 kqqkrp 7 0.071%
138 kqnknp 7 0.071%
139 kqpkrb 7 0.071%
140 kqpkbn 7 0.071%
141 kbbkbn 7 0.071%
142 kqqrpk 6 0.060%
143 kqqnpk 6 0.060%
144 kqrnpk 6 0.060%
145 kbnppk 6 0.060%
146 krbnkr 6 0.060%
147 knnpkr 6 0.060%
148 kqqkbp 6 0.060%
149 kqrkbp 6 0.060%
150 kqbkqn 6 0.060%
151 krpknn 6 0.060%
152 kbpknn 6 0.060%
153 kbbppk 5 0.050%
154 kqqpkb 5 0.050%
155 krrpkp 5 0.050%
156 krrkrn 5 0.050%
157 krrkbp 5 0.050%
158 krrkpp 5 0.050%
159 knnknp 5 0.050%
160 knnkpp 5 0.050%
161 kqbbpk 4 0.040%
162 krbnkp 4 0.040%
163 knnpkb 4 0.040%
164 krnkbn 4 0.040%
165 kbbkpp 4 0.040%
166 kqqrkr 3 0.030%
167 kqqbkb 3 0.030%
168 kqqnkp 3 0.030%
169 kqrrkr 3 0.030%
170 kqrbkq 3 0.030%
171 kqrbkb 3 0.030%
172 krrbkr 3 0.030%
173 krrnkq 3 0.030%
174 kbbpkq 3 0.030%
175 kbbpkn 3 0.030%
176 kqqknp 3 0.030%
177 kqrkqr 3 0.030%
178 kqrkqb 3 0.030%
179 kqrknp 3 0.030%
180 kqbkqb 3 0.030%
181 kqbkrb 3 0.030%
182 kqpknn 3 0.030%
183 krbkbb 3 0.030%
184 krbkbn 3 0.030%
185 kbnknn 3 0.030%
186 krrbpk 2 0.020%
187 krrppk 2 0.020%
188 kqqpkn 2 0.020%
189 kqrrkp 2 0.020%
190 kqrnkq 2 0.020%
191 kqbbkb 2 0.020%
192 kqbbkp 2 0.020%
193 kqbnkp 2 0.020%
194 krrnkp 2 0.020%
195 krbbkr 2 0.020%
196 knnpkq 2 0.020%
197 kqqkqq 2 0.020%
198 kqrkrr 2 0.020%
199 kqbkbn 2 0.020%
200 kqnkrb 2 0.020%
201 kqnkbn 2 0.020%
202 krrkbn 2 0.020%
203 kqbnnk 1 0.010%
204 kqnnpk 1 0.010%
205 krrnpk 1 0.010%
206 krbnpk 1 0.010%
207 kbnnpk 1 0.010%
208 knnppk 1 0.010%
209 kqqqkr 1 0.010%
210 kqqnkn 1 0.010%
211 kqrbkn 1 0.010%
212 kqbbkr 1 0.010%
213 kqbnkq 1 0.010%
214 kqbnkb 1 0.010%
215 kqbnkn 1 0.010%
216 kqnnkq 1 0.010%
217 kqnnkr 1 0.010%
218 kqnnkb 1 0.010%
219 kqnnkp 1 0.010%
220 krrbkq 1 0.010%
221 krrnkn 1 0.010%
222 krrpkn 1 0.010%
223 krbbkb 1 0.010%
224 krbnkq 1 0.010%
225 krbnkb 1 0.010%
226 krnnkp 1 0.010%
227 kbbnkq 1 0.010%
228 kbbnkr 1 0.010%
229 kbbnkp 1 0.010%
230 kbnnkr 1 0.010%
231 kbnnkb 1 0.010%
232 kbnpkq 1 0.010%
233 knnpkn 1 0.010%
234 kqqkqr 1 0.010%
235 kqqkqb 1 0.010%
236 kqqkrb 1 0.010%
237 kqrkqn 1 0.010%
238 kqrkbn 1 0.010%
239 kqrknn 1 0.010%
240 kqbkrr 1 0.010%
241 kqnkqn 1 0.010%
242 kqnkrn 1 0.010%
243 kqpkbb 1 0.010%
244 krrknn 1 0.010%
245 krnkbb 1 0.010%
246 krnknn 1 0.010%
247 kbbknn 1 0.010%
248 kqqqqk - 0.000%
249 kqqqrk - 0.000%
250 kqqqbk - 0.000%
251 kqqqnk - 0.000%
252 kqqqpk - 0.000%
253 kqqrrk - 0.000%
254 kqqrbk - 0.000%
255 kqqrnk - 0.000%
256 kqqbbk - 0.000%
257 kqqbnk - 0.000%
258 kqqnnk - 0.000%
259 kqrrrk - 0.000%
260 kqrrbk - 0.000%
261 kqrrnk - 0.000%
262 kqrrpk - 0.000%
263 kqrbbk - 0.000%
264 kqrbnk - 0.000%
265 kqrnnk - 0.000%
266 kqbbbk - 0.000%
267 kqbbnk - 0.000%
268 kqnnnk - 0.000%
269 krrrrk - 0.000%
270 krrrbk - 0.000%
271 krrrnk - 0.000%
272 krrrpk - 0.000%
273 krrbbk - 0.000%
274 krrbnk - 0.000%
275 krrnnk - 0.000%
276 krbbbk - 0.000%
277 krbbnk - 0.000%
278 krbbpk - 0.000%
279 krbnnk - 0.000%
280 krnnnk - 0.000%
281 krnnpk - 0.000%
282 kbbbbk - 0.000%
283 kbbbnk - 0.000%
284 kbbbpk - 0.000%
285 kbbnnk - 0.000%
286 kbbnpk - 0.000%
287 kbnnnk - 0.000%
288 knnnnk - 0.000%
289 knnnpk - 0.000%
290 kqqqkq - 0.000%
291 kqqqkb - 0.000%
292 kqqqkn - 0.000%
293 kqqqkp - 0.000%
294 kqqrkq - 0.000%
295 kqqrkb - 0.000%
296 kqqrkn - 0.000%
297 kqqrkp - 0.000%
298 kqqbkq - 0.000%
299 kqqbkr - 0.000%
300 kqqbkn - 0.000%
301 kqqnkq - 0.000%
302 kqqnkr - 0.000%
303 kqqnkb - 0.000%
304 kqrrkq - 0.000%
305 kqrrkb - 0.000%
306 kqrrkn - 0.000%
307 kqrnkb - 0.000%
308 kqrnkn - 0.000%
309 kqbbkq - 0.000%
310 kqbbkn - 0.000%
311 kqbnkr - 0.000%
312 kqnnkn - 0.000%
313 krrrkq - 0.000%
314 krrrkr - 0.000%
315 krrrkb - 0.000%
316 krrrkn - 0.000%
317 krrrkp - 0.000%
318 krrbkb - 0.000%
319 krrbkn - 0.000%
320 krrbkp - 0.000%
321 krrnkr - 0.000%
322 krrnkb - 0.000%
323 krrpkb - 0.000%
324 krbbkq - 0.000%
325 krbbkn - 0.000%
326 krbbkp - 0.000%
327 krbnkn - 0.000%
328 krnnkq - 0.000%
329 krnnkr - 0.000%
330 krnnkb - 0.000%
331 krnnkn - 0.000%
332 kbbbkq - 0.000%
333 kbbbkr - 0.000%
334 kbbbkb - 0.000%
335 kbbbkn - 0.000%
336 kbbbkp - 0.000%
337 kbbnkb - 0.000%
338 kbbnkn - 0.000%
339 kbnnkq - 0.000%
340 kbnnkn - 0.000%
341 kbnnkp - 0.000%
342 knnnkq - 0.000%
343 knnnkr - 0.000%
344 knnnkb - 0.000%
345 knnnkn - 0.000%
346 knnnkp - 0.000%
347 kqqkqn - 0.000%
348 kqqkrr - 0.000%
349 kqqkrn - 0.000%
350 kqqkbb - 0.000%
351 kqqkbn - 0.000%
352 kqqknn - 0.000%
353 kqrkbb - 0.000%
354 kqbkrn - 0.000%
355 kqbkbb - 0.000%
356 kqbknn - 0.000%
357 kqnkrr - 0.000%
358 kqnkbb - 0.000%
359 kqnknn - 0.000%
360 krrkbb - 0.000%
361 krrknp - 0.000%
362 krbknn - 0.000%
363 kbbkbb - 0.000%
364 kbnkbn - 0.000%
365 knnknn - 0.000%

Cheers,
PK
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Nice work

Postby Cato the Younger » Tue Jan 10, 2006 6:59 pm

Conforms with my results very closely. Not a lot is gained by increasing the engine game sample size dramatically; your list is authoritative as far as I am concerned.

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Postby Kirill Kryukov » Tue Jan 10, 2006 7:07 pm

Very interesting, thanks, Peter. So, now we already have four different lists to help choosing download order. :-)

I was thinking to have similar statistics, but constructed starting at 7-men positions, one capture before convertion into 6-men endgame. This is because engines can use tablebases during search, when the 6-men position still did not occur on board.

So for example, a KRPPKRP position happens. At that point an engine may already access KRPPKR, KRPKRP, etc... So, the idea is to count all 6-men endings that can result from every 7-men ending that happened in game database.

The same counting can also be done starting from 8-men endings, which means two captures away from 6-men ending. Such statistics would be particularly useful for engine-engine matches, and very interesting to see in any case. Is anyone interested to do such experiment? (I don't have time currently to do this counting myself)
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Many possibilities...

Postby kasinp » Tue Jan 10, 2006 8:57 pm

Nice idea, would take some effort to pull it off though.

By the way, when considering what COULD happen, and confronted with how relatively little actually DOES happen (look at all those seemingly never accessed TBs) I can't help but remember how Chruchill once recalled a:

"...story of the old man who said on his deathbed that he had had a lot of trouble in his life, most of which had never happened."

:wink:

PK
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Frequencies

Postby Gordon » Tue Jan 17, 2006 3:08 pm

The important one which nobody seems to have is kppkpp.
Any hope of this in the near future anybody?

Best wishes
Gordon :D
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