Interesting endgame - who's favoured? Q or R+N

In terms of material points, white is up by 1. Pawns are even; it is inherently a Q vs R + N endgame.

This was a game I played, but he blundered next move with Qe5. I hate it when I win games, going that far, and then winning from a blunder. I didn't feel it was a good game for me, although my queen sacrifice probably saved me the game. In my opinion the game that would have been was headed for a draw, or a win for white. I believe my position was sufficiently structured to pull a draw. If it possible can someone run the position through a computer and give the raw score?

After g4, it looks like white is about +1.7

I believe with all those pawns white should be winning.  Generally the rook and knight will coordinate less well than a rook and bishop would too partly because the knight is so slow/has limited range.  White probably still has some work to do, but I think can be confident there's a win there.