This method (indexing by up/down/same transitions) is called the 'Parsons Code'. There's an on-line Parsons search at http://www.musipedia.org/
but I'm not sure how comprehensive the index is. Wikipedia also knows (http://en.wikipedia.org/wiki/Parsons_code) but isn't particularly helpful.

I quickly calculated it (by hand) to be '*udurdudurduduudddduudurdudurduuddu',
but it didn't find any exact matches. I don't think I know it myself; it reminds me slightly of a melody from 'Ragtime' (the musical) but it's not the one.