1) Why not

15. Ba4 Bd7 and only now 16. Bc2,

I do not grasp.

2) Why not at once 16. Ne3 and only after 16. Qe2 Rd8 17. Ne3, again I do not see. After d6-d5. white took on d5 anyway and if white's queen is on e2, it is not at all safer to take Ne5.

I mean:

16. Ne3 d5 17. ed5 Nd5 18. Nd5

and now:

18...Bd5 19. Ne5 and white's queen is not on a dangerous e-file;

18...Rd5 19. Bb3 perhaps?

3) 20. h3 is a suicide, perhaps even Andersen would say that in the present position.

4) 21...Qd7 now perhaps 22. Ba4.
Therefore, black played 21...Qe6.
After 22. Bb1? black can already play 22...Qd7!

I think that after 22...Qd7 white has to confess the mistake and must play

23. Bc2

back to defend the rook on d1.

5) Why not

31. Bg7

I do not see yet? I mean

31. Bg7 Kg7 31. Qe5+ and 32. Qc5

In a blitz, I would play 31. Bg7 without thinking, because the position is worse anyway and trading the bishops would only help white because of the pawns on dark squares a5 and c3.

6) 34. Qf7 Qe5 35. Qg8+ Kg6

Now white cannot give a check on the 6. road.

36. Re8 Rd1#

34. Bg7 Qe1+ 35. Kh2 Bd6+ 36. g3 Qf2+
37. Kh1 Qf1+ 38. Kh2 Rd2 and checkmating.

31. Bg7 Kg7 31. Qe5+ and 32. Qc5
.>

<31... Bc5>

Yesterday, I intuitively suggested to white the move

<32. Bg7:>

to trade the bishops, because white's bishop is bad due to the dark-coloured pawns a5 and c3.

I suggest the following now:

<32... Rd2>

Among other things, white has no good place for the queen to defend the bishop on g7.

<33. Qg4>

Trying to sacrifice the bishop for three pawns.
There are no better possibilities:

33. Qe5 Rd1+ 34. Rd1: Qd1:+ 35. Kh2 Bd6 and black wins the queen (this possibility was a couple of times mentioned above by other commentators);

33. Qc4: Bf2:+ and white is in a checkmate threat:

34. Kh2 Qd6+ 35. Kh1 Rd1+ 36. Rd1: Qd1:+ 37. Kh2 Qg1#

or

34. Kf1 Qf5

After 33. Qg4:

<33... Bf2:+ 34. Kh2! Qg4:>

Not 34... Qd6+? 35. Kh1 and white can win.

<35. hg4: Kg7: 36. Ra4>

That's white's plan: after the exchange of the queens the pawns c4 and a6 are vulnerable.

<36... Rd3!! 37. Rc4:>

Otherwise simply 37... Rc3:

<37... Bg3+>

Black plays on the checkmate.

<38. Kh3>

The only move.

<38... Re3!>

Black plays on the zugzwang.
38... Bf4+ 39. g3! Rg3:+ is complicated, because the bishop f4 is as yet attacked by white's rook on c4.

<39. Rc6>

Now the point f4 remains without defense.
Perhaps 39. g5 is better, to save the king.

<39... Bf4+ 40. g3>

40. Kh4 Bg5+ 41. Kh5 Re1 threatening 42... Rh1#

<40... Rg3:+ 41. Kh4>

41. Kh2 Rc3:+ wins the rook.

<41... Rg2>

Threatens 41... Rh2# .

<42. g5 hg5:+ 43. Kh5 f5!>

Again: threatens mate Rh2#

<44. Rg6+ Kf7 45. Rg7+ Kg7:>

Unfortunately, white won the pawn c4 and the pawn c3 is free, so there is no stalemate:

<46. c4 Rh2#>

This calculation is 15 moves long and is not forced.

However, there is another idea of trading the queens without the sacrifice of the bishop, to attack with the rook black's pawns a6 and c4:

<32. Qg4 Qg4: 33. hg4:>

For example:

<33... f6 34. Bd4>

Here again there is a possibility to consider the sacrifice 34. Bf6: gf6: 35. Rc4 .

<34... Bd4: 35. cd4: Rd4:>

Unfortunately, I am incompetent to evaluate that rook-endgame. Perhaps

<36. Ra4 Rg4: 37. Rb4>

Why bother with the pretence of 'IMHO'? Your arrogance is nothing if not obvious.

<....With regards to engines: Rybka 3 and H3 dislikes the c3 continuation quite a bit, while R4 rates it as best?!, but that version of Rybka plays quite unreliable, albeit dynamic and interesting.>