I mean it's now ingrained in programming lore, but the reality is that Carmack has nothing to do with this and Carmack himself has never taken credit for it. The fast inverse square root dates back to the 80s and has its roots in SGI's systems. One of the developers who worked at SGI would eventually go on to work at ID developing Quake and worked on this optimization.
Oh, I didn't mean to imply Carmack invented it - he himself is pretty clear that he didn't. I just meant that incremental improvements in efficiency like this can add up surprisingly fast, and that once the low hanging fruit are taken, they're well worth doing.
