Smashing Song of Praise
Smashing Song of Praise (also known as Anthem of Destruction) is the harder version. It plays when battling against the Steel Mechorilla and Mecha-Lion. The difference is that it adds some parts to the song that play slightly slower; these happen at 0:21, 0:46 and 1:04.
In Super Smash Bros. Brawl
A song titled "Unfounded Revenge/Smashing Song of Praise" plays on New Pork City. The second half of this song is a remix of Smashing Song of Praise. It's got some slight changes, though. The part from 0:08 to 0:14 is cut off entirely in the Brawl rendition. Additionally, the tempo does not slow down as it does in the regular song.