Russell Sherwood Sunday, January 6, 2019
I have written a little on tablebases in the past. Seven Piece tablebases are available but the size of these presents something on an issue.
What would be useful is to know the frequency of their use......
A while ago I came across the table below. The most interesting part of this is that the top two sets cover 35% of situations that arise. So if you want to get an edge perhaps downloading these is an answer?
|
occurrences:
|
616,969
|
|
size:
|
1,209.06
|
96
|
83.5%
|
|
|
|
|
|
|
|
|
1
|
KRPPKRP
|
153,091
|
23,261,437,520
|
9,444,643,920
|
30.46
|
2
|
24.8%
|
2
|
KPPPKPP
|
63,395
|
2,107,379,792
|
89,290,832
|
2.05
|
2
|
10.3%
|
3
|
KBPPKBP
|
24,923
|
30,746,474,768
|
5,561,195,536
|
33.81
|
2
|
4.0%
|
4
|
KNPPKNP
|
20,204
|
29,087,503,696
|
6,536,127,184
|
33.18
|
2
|
3.3%
|
5
|
KRPPPKR
|
20,144
|
1,075,778,832
|
1,372,519,888
|
2.28
|
2
|
3.3%
|
6
|
KNPPKBP
|
19,617
|
30,955,844,688
|
7,104,144,272
|
35.45
|
2
|
3.2%
|
7
|
KBPPKNP
|
17,783
|
28,727,898,832
|
6,471,055,824
|
32.78
|
2
|
2.9%
|
8
|
KBPPKPP
|
15,470
|
7,973,639,248
|
1,058,776,592
|
8.41
|
2
|
2.5%
|
9
|
KNPPKPP
|
13,554
|
9,689,699,280
|
1,550,631,440
|
10.47
|
2
|
2.2%
|
10
|
KRPPKPP
|
13,052
|
5,054,627,664
|
1,127,383,952
|
5.76
|
2
|
2.1%
|
11
|
KQPPKQP
|
12,302
|
22,632,171,664
|
12,926,209,872
|
33.12
|
2
|
2.0%
|
12
|
KBPPKRP
|
12,082
|
31,606,770,192
|
12,859,232,976
|
41.41
|
2
|
2.0%
|
13
|
KRBPKRP
|
11,080
|
48,381,043,216
|
44,069,083,408
|
86.10
|
2
|
1.8%
|
14
|
KPPPKBP
|
9,392
|
7,584,064,976
|
1,438,176,656
|
8.40
|
2
|
1.5%
|
15
|
KRNPKRP
|
9,210
|
58,025,199,248
|
49,364,431,312
|
100.01
|
2
|
1.5%
|
16
|
KRPPKBP
|
9,074
|
11,435,368,336
|
4,241,347,984
|
14.60
|
2
|
1.5%
|
17
|
KPPPKRP
|
8,564
|
4,645,229,072
|
1,834,192,656
|
6.03
|
2
|
1.4%
|
18
|
KQPPKPP
|
8,339
|
2,109,622,288
|
433,126,416
|
2.37
|
2
|
1.4%
|
19
|
KPPPKNP
|
8,151
|
6,680,648,720
|
900,566,160
|
7.06
|
2
|
1.3%
|
20
|
KNPPKRP
|
7,567
|
29,911,219,856
|
12,131,137,360
|
39.15
|
2
|
1.2%
|
21
|
KRPPKNP
|
6,025
|
9,632,432,848
|
3,575,949,264
|
12.30
|
2
|
1.0%
|
22
|
KPPPKQP
|
5,228
|
2,269,738,128
|
749,323,664
|
2.81
|
2
|
0.8%
|
23
|
KPPPPKP
|
5,075
|
336,964,944
|
9,884,688
|
0.32
|
2
|
0.8%
|
24
|
KRPPKRB
|
4,330
|
28,687,360,336
|
5,877,489,808
|
32.19
|
2
|
0.7%
|
25
|
KRPPKQP
|
3,904
|
16,689,932,048
|
8,281,893,072
|
23.26
|
2
|
0.6%
|
26
|
KRPPKRN
|
3,785
|
27,834,688,208
|
6,556,337,296
|
32.03
|
2
|
0.6%
|
27
|
KBPPPKP
|
3,575
|
1,491,992,336
|
139,152,784
|
1.52
|
2
|
0.6%
|
28
|
KBPPPKB
|
2,807
|
1,797,519,120
|
503,454,608
|
2.14
|
2
|
0.5%
|
29
|
KNPPPKP
|
2,788
|
1,731,776,336
|
189,133,392
|
1.79
|
2
|
0.5%
|
30
|
KQPPPKP
|
2,662
|
189,038,864
|
66,055,056
|
0.24
|
2
|
0.4%
|
31
|
KBNPKRP
|
2,458
|
82,917,193,040
|
32,889,776,976
|
107.85
|
2
|
0.4%
|
32
|
KQPPKRP
|
2,324
|
5,506,660,816
|
3,009,336,272
|
7.93
|
2
|
0.4%
|
33
|
KBPPPKR
|
2,044
|
6,897,087,952
|
2,689,630,224
|
8.93
|
2
|
0.3%
|
34
|
KQPPPKQ
|
1,922
|
3,745,607,056
|
4,634,537,424
|
7.80
|
2
|
0.3%
|
35
|
KBPPPKN
|
1,760
|
664,016,016
|
264,358,928
|
0.86
|
2
|
0.3%
|
36
|
KNPPPKR
|
1,368
|
7,312,293,712
|
2,733,418,128
|
9.36
|
2
|
0.2%
|
37
|
KBBPKBP
|
1,075
|
33,115,579,408
|
12,847,387,216
|
42.81
|
2
|
0.2%
|
38
|
KPPPPKR
|
1,031
|
1,762,525,008
|
648,855,760
|
2.25
|
2
|
0.2%
|
39
|
KRPPKBN
|
955
|
28,996,307,344
|
12,680,283,216
|
38.81
|
2
|
0.2%
|
40
|
KRPPPKQ
|
667
|
11,111,429,008
|
5,198,413,840
|
15.19
|
2
|
0.1%
|
41
|
KPPPPKN
|
576
|
439,768,208
|
65,003,088
|
0.47
|
2
|
0.1%
|
42
|
KPPPPKB
|
574
|
632,390,160
|
75,195,600
|
0.66
|
2
|
0.1%
|
43
|
KPPPPKQ
|
448
|
1,199,301,520
|
598,771,280
|
1.67
|
2
|
0.1%
|
44
|
KNNPKNP
|
384
|
47,429,430,096
|
23,357,510,800
|
65.93
|
2
|
0.1%
|
45
|
KRBNKRB
|
54
|
46,163,484,752
|
54,810,115,280
|
94.04
|
2
|
0.0%
|
46
|
KRBNKRN
|
43
|
41,632,251,088
|
72,137,970,192
|
105.96
|
2
|
0.0%
|
47
|
KRBBKRB
|
18
|
12,598,941,008
|
16,965,106,960
|
27.53
|
2
|
0.0%
|
48
|
KRBBKRN
|
8
|
14,069,139,408
|
17,604,229,456
|
29.50
|
2
|
0.0%
|