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Why is Bxf7+ so bad ? (Move 5)

Here is the game
,

I've started trying out e4 e5 position in order to encouter new positions, but I fall into traps sometimes and here I thought Bxf7 was ok but the computer hates it, I don't know why.
I should have lost the game according to the engine but my opponent self destructed.
After 7. Neg5+ Kg8 there are no more tactics for white, and Black has established strong pawns in the center. You knights will be kicked by e4 and h6.
Your opponent made a lot of bad moves. Try playing out the computer analysis lines. According to Stockfish, 7. ...Kg6 is an incredible blunder (though it still doesn't lose immediately like your opponent did, as the king still has room to escape, which your opponent didn't find). If instead 7. ...Kg8, the king is immediately sheltered, you have given Black the bishop pair in an open position (which is unpleasant to play against, at best), and Black achieves the kind of pawn center White dreams of in any e4 or d4 opening. Black's only positional question is how to develop his king's rook.

The reason Stockfish rates Bxf7 so poorly (-1 immediately, a potentially winning advantage for Black; it gets even worse for White if you still play Neg5) is because it knows the Black king is fine with normal play and you gave Black two strong positional advantages with little to no compensation for yourself. If Black isn't sloppy, White will be on the back foot for the rest of the game.

Of course, when it's humans playing, Black can slip more easily, but in this position Kg8 isn't very difficult to find.

Now, examining what happens after Black plays 7. ...Kg6?? anyway, your 8. d3 immediately throws away a lot of White's advantage by playing passively (simply defending the g5 knight and nothing more) instead of keeping the pressure on Black. Stockfish recommends more aggressive play with 8. d4, attacking Black's center pawns while still defending your knight. This would lead into a line where White has a bishop and pawn advantage in a very comfortable endgame against Black's best play.

Of course, your opponent continued to blunder with h6 (failing to protect the king and allowing you to play against the queen as well) and eventually fell into several possible forced checkmate sequences, which you exploited one of, but this isn't something you should depend on Black to help you with.

--My translation of Stockfish's suggestions
(backed up by a little google searching)
#5, "The reason Stockfish rates Bxf7 so poorly (-1 immediately, a potentially winning advantage for Black; it gets even worse for White if you still play Neg5) is because it knows the Black king is fine with normal play and you gave Black two strong positional advantages with little to no compensation for yourself. If Black isn't sloppy, White will be on the back foot for the rest of the game."

The rating is around +1.3 for WHITE not black
Can you explain after what moves you're seeing a +1.3? I feel we may be discussing slightly different positions. From my end, -1 is simply the evaluation Stockfish gave the position after:

1. e4 Nf6 2. Nc3 e5 3. Nf3 Nc6 4. Bc4 Nxe4 5. Bxf7

based on the expectation that black can play 7. ...Kg8 and possess the advantages you quoted (good center, two bishops+open position, king safety) instead of blunder with 7. ...Kg6 if white plays 7. Neg5+.

After 7. ...Kg6, white does indeed stand better, with a nasty attack coming black's way. I recall that the evaluation is something like +5.1 at that point. After 8. d3 (when d4 was better), Stockfish suggests white still maintains an advantage of +1.6. Is this what you were referring to?

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