Deepest win for white:

[Date "2015.10.09"] [White "Perfect play"] [Black "Perfect play"] [Result "2-0"] [GameType "20"] [FEN "W:WK6,K15,K17:BK4,26,K41,K42."] 1. 15x36 4-15 2. 36-47 15-4 3. 47-24 4-36 4. 24-38 36-4 5. 17-44 4-15 6. 44-33 15-4 7. 38-16 {38-49} 4-15 {4-36} 8. 33-47 15-4 9. 16-32 4-36 10. 6-33 36-18 {36-13, 36-9, 36-4} 11. 32-23 18x38 {18x29x42} 12. 47x33 {47x29, 47x24, 47x20, 47x15} 26-31 13. 33-28 {33-29, 33-24, 33-20, 33-15, 33-38, 33-42} 31-36 14. 28-23 {28-19, 28-14, 28-10, 28-5, 28-32, 28-37, 28-46} 36-41 15. 23x46 2-0

Deepest loss for white:

[Date "2015.10.09"] [White "Perfect play"] [Black "Perfect play"] [Result "0-2"] [GameType "20"] [FEN "W:WK10,K27,K30:BK5,K15,K25,33."] 1. 10-32 25x39 2. 32-46 39-50 3. 27-43 15-4 4. 43-48 4-22 {4-36} 5. 48-25 22-31 6. 25-30 31-42 7. 30-43 42-26 8. 43-16 {43-49} 26-17 9. 16-2 50-45 {17-6} 10. 2-30 17-6 11. 30-48 45-1 12. 48-42 {48-26} 33-39 13. 42-26 {42-24, 42-20, 42-15, 42-48} 39-44 14. 26-8 {26-3, 26-48} 1-40 15. 8-3 {8-30, 8-26} 44-50 {6-1} 16. 3-26 50-22 17. 26-3 {26-48} 40-34 {40-35, 22-33, 22-39} 18. 3-8 34-43 {6-1} 19. 8-3 {8-26} 43-48 {43-25} 20. 46-41 5x46 21. 3-12 {3-21} 48-37 {48-31, 48-26, 48-43, 48-30, 46-32, 46-19, 22-27, 22-31, 22-36, 22-4, 6-1} 22. 12-29 {12-34} 22-36 {22-4} 23. 29-24 {29-20, 29-34, 29-40, 29-38, 29-47} 6-22 24. 24-38 {24-47} 36-27 {22-27} 25. 38x21 {38x16} 22-27 26. 21x41 46x37 {46x32, 46x28, 46x23, 46x19, 46x14, 46x10, 46x5} 0-2

pdn

Non capture positions

Win: 31.976.341 (1.6%)
Draw: 2.023.408.571 (98.3%)
Lose: 2.553.027 (0.1%)

Number of positions with white to win in X moves
1: 23
2: 7.078.742
3: 7.322.647
4: 6.663.873
5: 7.362.384
6: 3.067.567
7: 407.417
8: 47.972
9: 20.534
10: 3.931
11: 1.251
Number of positions with white to lose in X moves
1: 0
2: 39
3: 274
4: 420
5: 2.519
6: 55.216
7: 509.207
8: 1.101.867
9: 745.208
10: 116.676
11: 13.101
12: 2.909
13: 1.337
14: 1.004
15: 900
16: 801
17: 451
18: 254
19: 242
20: 134
21: 145
22: 120
23: 101
24: 77
25: 16
26: 9

All positions

Win: 758.536.954 (6.0%)
Draw: 11.780.460.880 (93.6%)
Lose: 46.436.566 (0.4%)

Number of positions with white to win in X moves
1: 207.192.497
2: 174.805.182
3: 176.606.636
4: 108.536.763
5: 53.049.067
6: 24.696.397
7: 8.359.594
8: 2.845.208
9: 1.390.143
10: 613.153
11: 244.491
12: 120.128
13: 59.672
14: 12.747
15: 5.276
Number of positions with white to lose in X moves
1: 19.053.728
2: 14.700.529
3: 4.917.575
4: 3.315.577
5: 975.119
6: 697.155
7: 709.451
8: 1.134.910
9: 754.765
10: 121.409
11: 19.675
12: 8.305
13: 6.271
14: 10.575
15: 7.057
16: 2.785
17: 582
18: 254
19: 242
20: 134
21: 145
22: 120
23: 101
24: 77
25: 16
26: 9