Deepest win for white:

[Date "2015.10.09"] [White "Perfect play"] [Black "Perfect play"] [Result "2-0"] [GameType "20"] [FEN "W:WK13,K32,K37:BK8,K30,K43,K44."] 1. 32x19 8-26 2. 13-31 26-3 3. 37-41 3-20 {3-25} 4. 41-47 20-3 5. 31-26 3-9 {3-25} 6. 47-36 9-20 {9-25} 7. 36-9 20x3 8. 19-8 3x12 {3x17, 3x21} 9. 26x8 {26x3} 2-0

Deepest loss for white:

[Date "2015.10.09"] [White "Perfect play"] [Black "Perfect play"] [Result "0-2"] [GameType "20"] [FEN "W:WK27,K38,K41:BK14,K15,K16,K19."] 1. 27-36 19x46 2. 38-47 14-20 3. 36-4 16-49 4. 47-36 46-32 5. 36-22 {36-18} 20-47 6. 22-50 47-36 7. 50-6 {50-45} 32-41 8. 6-1 49-38 {49-16, 49-35} 9. 1-6 38-29 {38-24, 38-20} 10. 6-1 29-33 11. 1-6 41-28 12. 6-1 28-6 13. 4-10 {4-9, 4-13} 15x4 14. 1-23 4-13 {4-27} 15. 23-12 {23-7, 23-1, 23-32, 23-37, 23-46} 13-35 16. 12-7 {12-1, 12-23, 12-34, 12-21, 12-26} 35-40 {6-1} 17. 7x45 6-1 18. 45-50 1-6 19. 50x28 {50x22, 50x17, 50x11} 6x33 {6x39, 6x44, 6x50} 0-2

pdn

Non capture positions

Win: 1.712.978 (0.3%)
Draw: 599.580.394 (99.3%)
Lose: 2.251.058 (0.4%)

Number of positions with white to win in X moves
1: 0
2: 1.152.410
3: 498.844
4: 54.644
5: 5.872
6: 1.208
Number of positions with white to lose in X moves
1: 0
2: 18
3: 426
4: 1.252
5: 44.838
6: 871.474
7: 1.110.502
8: 168.786
9: 14.958
10: 9.684
11: 10.968
12: 7.980
13: 4.186
14: 3.212
15: 1.926
16: 564
17: 184
18: 96
19: 4

All positions

Win: 86.091.262 (2.5%)
Draw: 3.388.738.152 (96.9%)
Lose: 21.124.586 (0.6%)

Number of positions with white to win in X moves
1: 51.475.814
2: 17.653.686
3: 9.499.752
4: 5.214.984
5: 1.243.298
6: 852.724
7: 134.488
8: 16.004
9: 512
Number of positions with white to lose in X moves
1: 6.964.426
2: 6.161.816
3: 2.405.832
4: 2.154.948
5: 630.566
6: 1.377.656
7: 1.201.274
8: 174.306
9: 14.958
10: 9.684
11: 10.968
12: 7.980
13: 4.186
14: 3.212
15: 1.926
16: 564
17: 184
18: 96
19: 4