Well, tonight I finally got a respectable answer, and the sense of relief just washed over me. Suddenly I can binge by reading my outstanding email, the BBC news, xkcd, photoshopdisasters and thedailywtf, by going to sleep before 4am, and by looking after myself for a bit.
I still have more work to do. While my current transformation is now presenting me with a solution, I suspect there is a better vector space in which to solve this problem, and I will be spending as much time as I can squeeze in before project delivery searching for it. Deadline was supposed to be today, but I was lucky enough to get an extension until Friday morning, when I have to present.
In other news:
I have to bone up on the material for the BoF I'm co-chairing next week in Miami. This last batch of maths has taken me completely out of it, and other people have written some (very exciting) material for me which I have not yet had time to review.
I have three ideas (and implementations thereof), two of them probably original/interesting/valuable, to present in a talk in November in Santa Cruz. I loathe the academic paper-mill, so the opportunity to do an off-hand presentation before such a venerable audience is extremely valuable to me. Perhaps I should just keep an archive of ideas somewhere online.
I don't really know what I'm doing with my life. I wish I did.