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?
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|
occurrences:
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616,969
|
|
size:
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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%
|