There seems to be a common fallacy among programmers that using memory is good: on current hardware it is often much faster to recompute values than to have to reference memory to get a precomputed value. A full cache miss can be hundreds of cycles, and hundreds of times the power consumption of an instruction that hits in the first level cache. Making things smaller almost always makes them faster (and lower power). Similarly, it can be much faster to redraw an area of the screen than to copy a saved image from RAM to a screen buffer. Many programmer's presumptions are now completely incorrect and we need to reeducate ourselves.