For you, me and James Hiebert, this sort of optimisation is exhilarating. Getting a half-hour job down to milliseconds? Awesome!

But for the scientists that wrote the original code, maybe not. Maybe they think of this sort of thing as drudge work, something that doesn't really hold their interest. Their fun is in designing the mathematical concept, and turning it into code is just a chore.

So yeah, we could teach scientists. But even better would be if we could provide scientists with tools that are just naturally fast when expressing problems on their own terms.