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I played the following game of chess with the black pieces with a friend of mine (we didn't use any clocks, but it lasted about twenty minutes.). As far as I know, the opening is known as "Queen's Pawn Game: Accelerated London System".

I used the Lichess game analysis tool, and it gave me 0 errors and 0 blunders, so I'm wondering at what point I lost the game/played badly. Also, did I gain an edge after move 37, or did I just reduce my opponent's advantage?

On a side note, I'd be interested to read your opinion on the Elo rating for this game, I know it's very hard to tell from just 60 moves, but just to have an idea, even if it is a very wide range.

[FEN ""]
1. d4 d5 2. Bf4 Nc6 3. e3 Bf5 4. Bd3 Bxd3 5. Qxd3 Nf6 6. c3 e6 7. Nf3 Bd6 8. Bg3 Bxg3 9. hxg3 Qe7 10. Nbd2 O-O 11. g4 h6 12. g5 Nh7 13. gxh6 g6 14. O-O-O e5 15. dxe5 Nxe5 16. Nxe5 Qxe5 17. Nf3 Qd6 18. Qxd5 Qxd5 19. Rxd5 Rad8 20. Rd4 Rxd4 21. cxd4 Rd8 22. Kc2 Rd6 23. Ne5 Rf6 24. f4 Rf5 25. g4 Rf6 26. g5 Ra6 27. a3 f6 28. Nf3 Rc6+ 29. Kd3 f5 30. Ne5 Rb6 31. Rb1 Nf8 32. Kc4 Ne6 33. Nxg6 Rc6+ 34. Kd5 Rd6+ 35. Ke5 Ng7 36. Ne7+ Kf7 37. h7 Rd8 38. Nxf5 Re8+ 39. Kd5 Nxf5 40. e4 c6+ 41. Kc4 Nd6+ 42. Kd3 Kg6 43. Rh1 Nf7 44. f5+ Kxg5 45. Rg1+ Kh6 46. Rg8 Re7 47. h8=Q+ Nxh8 48. Rxh8+ Kg7 49. Ra8 a6 50. e5 Rd7 51. Rc8 Kh6 52. Ke4 Rg7 53. Rh8+ Kg5 54. f6 Rf7 55. Re8 Rh7 56. Rg8+ Kh6 57. Kf5 { Black resigns. } 1-0 [startply ""]
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+50

The opening is nothing special, both sides develop solidly.

8...Bxg3 is a bit premature, but not a mistake.

The same goes for 10...0-0. I'm pretty sure the engine won't see anything wrong with it yet because you still have plenty of defensive resources, but in practice it allows your opponent to start an attack on the semi-open h-file. 10...a6 (intending 11...e5) or any waiting move planning to castle on the same side as White would be fine.

11...h6? is a serious error, after which you weaken your king and soon lose a pawn. You give White's g-pawn more leverage by allowing it to attack not only the Nf6, but also a pawn. Any pawn exchange in front of your king will open lines of attack for White.

11...g6 is the more solid way of dealing with White g-pawn agression, possibly followed by 12...e5 counter-attacking in the center. Alas, the immediate 11...e5? doesn't quite work : 12.g5 Ne4 13.Ne4 de 14.Qe4, or 12.g5 e4 13.gf Qf6 14.Qc2 are good for White.

12...hg 13.Ng5 g6 should be a better defense than 12...Nh7?!, but the position is already a bit scary because of the open h-file.

13...g6! is a good and necessary move on your part, allowing the game to continue even though White has a winning advantage, that he keeps for the rest of the game.

On moves 36-37 White blunders his knight, but his advantage was already so huge that it doesn't change the result.

As you mention, it is very hard to give an Elo estimate from just one game, especially when Fide has just changed its rating scale for sub-2000 players. As a comparison, my son is ~1550, and I think that looks like the kind of rapid game he might play from the White side.

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