The real fun is optimising maths. Remove all divisions. Create LUTs, approximations, CPU specific tricks. Despite the fact CPUs are magnitudes faster now, they are still slow for real time processing.
Thus such micro optimizations are seldomly used. Quite the opposite, you try to avoid jitter which could be the result of caches
And then there's Diva at its highest output quality setting... :)
But very little digital audio gear works that way these days. The buffer sizes may be small (e.g 8 or 16 samples), but most hardware uses block structured (buffer by buffer) processing.
So there's always a delay, even if 1 sample.
This has been slower for most things that raw computation for well over a decade (probably more like two).
You are not saving a sin table, but very complex differential equations.