Breunor: Misery loves company, I went for f3 also.
But Stockfish prefers a different move from h3 or f3 (running for a minute):
1) -2.92 (22 ply) 22...Ng5 23.Rc3 Nxe4 24.Rxe4 Bf5 25.Rb4 Qg5 26.axb5 axb5 27.h3 Rfc8 28.Rxc8+ Rxc8 29.Bg4 Nxg4 30.hxg4 Bxg4 31.Qd2 Be5 32.Bd4 h3 33.Bxe5 dxe5 34.d6 hxg2 35.Qxg2
h3 is a good enough move to win:
1) -2.36 (21 ply) 23.g4 Bxg4 24.Bxg4 Qg6 25.Kh1 Nxg4 26.Qf3 Nxf2+ 27.Nxf2 Ng5 28.Qd3 Qxd3 29.Nxd3 Rf5 30.Rcd1 bxa4 31.Ra1 Raf8 32.Rxa4 f3 33.Rxa6 Rxd5 34.Rd1 Rd4 35.Raa1 Rh4
f3 doesn't get the job done:
1) -0.51 (20 ply) 23.Bxf3 Ng5 24.Nxg5 Qxg5 25.Kh1 h3 26.Bg3 hxg2+ 27.Bxg2 Bg4 28.Qb3 bxa4 29.Qe3 Qg6 30.Rc7 Bf3 31.Bxf3 Nxf3 32.Qe6+ Qxe6 33.Rxe6 Nd4 34.Re1 Nb5 35.Rc6 Bxb2 36.Ne3 Be5
al wazir, computer agrees with you on 27 Be4:
1) -9.45 (22 ply) 27...f3 28.Ng3 Ng4 29.Kg1 Rxc1 30.Qxc1 Qh4 31.Qd2 Bg2 32.Nf1 Qh3 33.Bxf3 Bxf1 34.Bb6 Rxf3 35.Qc2 Bc4 36.Qg2 Qxg2+ 37.Kxg2 Bxd5 38.Kg1 Be5 39.Rxe5 Nxe5 40.Bc7 bxa4 41.Bxd6
Best is
1) -2.31 (24 ply) 27.Rxc8 Rxc8 28.axb5 axb5 29.Nd2 Rc1 30.Qe2 Nxf3 31.Qxf3 Rxe1+ 32.Bxe1 Bd4 33.Bf2 Bxf2 34.Qxf2 Qxd5+ 35.Qf3 Qxd2 36.Qxh3 Qc1+ 37.Kg2 Qxb2+ 38.Kf1 Qc1+ 39.Kg2 Qc2+ 40.Kg1 Qd1+ 41.Kf2 Qd4+ 42.Kg2 Qe4+ 43.Kf2 Qe3+ 44.Qxe3 fxe3+ 45.Kf1 d5 46.Ke2
but this is still a tough position
Everett, computer agrees with you also. Best 18th move:
1) +0.54 (19 ply) 18.Bh5 Qe7 19.h3 exf4 20.Bxf4 Ne5 21.Kh1 Qf6 22.Ne2 Bd7 23.Nd4 Ng5 24.Bxg5 Qxg5 25.Ne6 Bxe6 26.dxe6 f4 27.Nh2 Qe7 28.Nf3 Qxe6 29.Nxh4
After fxe5, we have: