That's cool. I've only attempted stand-up a few times, but I was a performer for a good few years. I got obsessive about it, to the point that I started recording it and trying to learn from it. I'm a singer, so I would dissect my performance of the song, all the way down to figuring out what vocal runs and series of superfluous notes did and didn't work. The fun thing about singing is that you can play with the vocals a little bit.
So for example, I can sort of pitch down on the last word of a line of lyric, or I can punctuate it, or during an instrumental break I can try an extra little something. I know a big thing with comics is trying different ways to phrase things, or punching up a joke. I even do that sometimes with lyrics. I can change a word and make the lyric a little bit more poignant. I think it works the same in comedy, because ultimately it's all performance art, y'know?