I see. I'm a bit surprised that the timing would be so critical. I recall BASIC only ever being too slow (time critical sections needed to be in machine code or required hardware support). Cycle counting was a thing then in machine code (and to some degree it still is, at least in embedded systems), but clearly not possible in BASIC.

Well, if you decide to go ahead, don't forget to include Gates' easter egg in the sin data table: https://www.pagetable.com/?p=43 ;-)