Deepest win for white:

[Date "2015.10.09"] [White "Perfect play"] [Black "Perfect play"] [Result "2-0"] [GameType "20"] [FEN "W:W17,K26,K36,K37:BK4,K22,35."] 1. 17x28 35-40 2. 37-41 40-45 3. 26-17 4-15 4. 17-6 15-29 5. 41-47 29-7 6. 47-38 7-12 7. 38-20 12-8 8. 20-3 8-35 9. 3-21 35-49 10. 21-8 49-35 11. 8-2 35-40 12. 2-30 40-7 13. 30-43 7-12 {7-1} 14. 43-25 12-21 {12-7, 12-1} 15. 25-3 21-16 16. 36-13 16-7 17. 13-2 7-18 18. 2-16 {3-26} 18-1 19. 3-17 1-29 20. 16-2 29-18 21. 2-24 18-36 22. 24-47 36-18 23. 17-21 18-7 {18-1} 24. 21-38 7-34 {7-2} 25. 28-22 {38-33, 38-49} 34-25 26. 47-42 25-34 27. 22-17 34-7 {34-1} 28. 42-47 7-40 29. 38-27 {47-36} 40-49 {40-34, 40-7, 40-1} 30. 27-16 49-40 31. 47-33 40-49 {40-1} 32. 33-29 {33-39} 49-40 33. 29-1 40-49 34. 16-2 49-16 {49-40} 35. 6-11 {17-11} 16x7 36. 2x11 {2x16} 45-50 37. 11-6 50x11 38. 6x17 {6x22, 6x28, 6x33, 6x39, 6x44, 6x50} 2-0

Deepest loss for white:

[Date "2015.10.09"] [White "Perfect play"] [Black "Perfect play"] [Result "0-2"] [GameType "20"] [FEN "W:WK6,13,K39,K42:B19,K47,K50."] 1. 13x24 47x44 2. 6-1 50-45 3. 1-6 44-50 4. 24-20 45-34 5. 6-11 {6-17, 6-22} 50x6 6. 20-14 34-23 {34-25, 6-28} 7. 14-9 23-14 8. 9x20 6-22 {6-28} 9. 20-14 {20-15} 22-4 10. 14-9 {14-10} 4x13 {4x18, 4x22, 4x27, 4x31, 4x36} 0-2

pdn

Non capture positions

Win: 893.300.142 (11.6%)
Draw: 6.813.961.789 (88.4%)
Lose: 25 (0.0%)

Number of positions with white to win in X moves
1: 47.844
2: 127.903.871
3: 199.896.646
4: 198.936.918
5: 181.243.951
6: 111.262.409
7: 28.151.614
8: 8.766.043
9: 7.812.482
10: 8.972.773
11: 8.963.758
12: 6.229.486
13: 2.762.309
14: 982.285
15: 476.172
16: 310.462
17: 201.803
18: 130.703
19: 83.285
20: 53.292
21: 35.225
22: 23.311
23: 15.099
24: 11.069
25: 8.298
26: 5.871
27: 4.076
28: 2.728
29: 2.016
30: 1.483
31: 1.060
32: 685
33: 549
34: 311
35: 205
36: 36
37: 12
38: 2
Number of positions with white to lose in X moves
1: 10
2: 3
3: 8
4: 1

All positions

Win: 14.608.939.946 (43.0%)
Draw: 19.318.169.514 (56.8%)
Lose: 62.124.940 (0.2%)

Number of positions with white to win in X moves
1: 1.216.862.869
2: 1.486.028.760
3: 1.782.208.867
4: 1.107.286.083
5: 749.704.720
6: 894.068.299
7: 1.440.549.643
8: 1.700.514.812
9: 1.644.813.668
10: 1.398.149.041
11: 788.273.796
12: 261.703.007
13: 71.486.725
14: 31.826.099
15: 18.904.988
16: 9.784.606
17: 3.973.993
18: 1.204.184
19: 485.286
20: 320.782
21: 244.011
22: 188.838
23: 149.329
24: 83.333
25: 45.729
26: 30.671
27: 23.295
28: 8.686
29: 4.192
30: 2.708
31: 1.917
32: 1.579
33: 2.470
34: 1.391
35: 765
36: 521
37: 201
38: 82
Number of positions with white to lose in X moves
1: 19.203.718
2: 10.038.703
3: 12.227.317
4: 15.500.517
5: 4.136.669
6: 816.274
7: 123.619
8: 57.050
9: 15.934
10: 5.136