Holy crap, it's "Man With The Machine Gun"!
On the Black Mages II: The Skies Above, they did this song! I couldn't place it within FFVIII, but now I know where it's from! Oh, man, fantastic job, there.
Now, for the piece itself - good take. Speeding it up was a good move, certainly made the track more enjoyable, considering that this version isn't the one I'm used to, which has electric guitars playing the main melody. I normally pass up songs that sound completely synthesised, with no attempt at mimicry of an orchestra or band, but I like this for the amazing tune. Well done. 9/10.