Deepest win for white:

[Event ""] [Date "2010.08.17"] [Site ""] [White "Perfect play"] [Black "Perfect play"] [Result "2-0"] [Round ""] [GameType "20"] [FEN "W:W33:B2."] 1. 33-29 2-8 {2-7} 2. 29-24 8-13 {8-12} 3. 24-20 13-19 {13-18} 4. 20-15 19-24 {19-23} 5. 15-10 24-30 {24-29} 6. 10-4 {10-5} 30-34 7. 4-22 {4-27} 34-40 8. 22-17 {22-11, 22-6, 22-28, 22-33, 22-39} 40-45 {40-44} 9. 17-50 2-0

Non capture positions

Win: 616 (33.0%)
Draw: 799 (42.8%)
Lose: 450 (24.1%)

Number of positions with white to win in X moves
1: 0
2: 85
3: 102
4: 165
5: 106
6: 70
7: 43
8: 31
9: 14
Number of positions with white to lose in X moves
1: 47
2: 39
3: 84
4: 107
5: 84
6: 41
7: 35
8: 12

All positions

Win: 736 (37.1%)
Draw: 799 (40.3%)
Lose: 450 (22.7%)

Number of positions with white to win in X moves
1: 120
2: 85
3: 102
4: 165
5: 106
6: 70
7: 43
8: 31
9: 14
Number of positions with white to lose in X moves
1: 47
2: 39
3: 84
4: 107
5: 84
6: 41
7: 35
8: 12