Hamppe-Muzio Gambit involves a pawn storm by black whereas white will lead in development and white sometimes may even sacrifice a piece for a lead in the attack. Having said that in order for it to be a success white needs to play the game actively accounting for the loss of a piece.
1.e4 e5 2.Nc3 Nc6 3.f4 exf4 4.Nf3 g5 5.Bc4 g4 6.0-0 gxf3 7.Bxf7+ Kxf7 8.Qxf3 Bh6 9.d4 Nxd4
A simple pawn grab by black allows white to get a decisive advantage and from then on an imminent victory.
10.Qh5+ Kg7 11.Bxf4 d6 12.Be5+
And Rf7 is a checkmate on the next move if Nf6 is not played.
In the Hamppe-Muzio Gambit and Hamppe-Allgair-Thoroid Gambit, white should be in a position to play a really aggressive chess and ready to sacrifice a piece and play the game worthy of the sacrificed piece. If the white player is a beginner or an intermediate player then this is not the opening rightfully recommended even for the blitz or bullet games