Which they tend to do a lot. Like, the moment a square root or trig function shows up.
Even without it’s pretty easy to overflow a fraction stored the way your describing. x=1/(x*x+1) does it in log time. There’s really not a lot of situations where an exact fractions work, but purely symbolic logic wouldn’t. Maybe none, IDK.
There’s really not a lot of situations where exact fractions work, but purely symbolic logic wouldn’t. Maybe none, IDK.
Simulations maybe? Like the ones for chaotic systems where even the slightest inaccuracy massively throws the result off, where the tiny difference between an exact fraction and a float can seriously impact the accuracy as small errors build up over time.
Which they tend to do a lot. Like, the moment a square root or trig function shows up.
Even without it’s pretty easy to overflow a fraction stored the way your describing. x=1/(x*x+1) does it in log time. There’s really not a lot of situations where an exact fractions work, but purely symbolic logic wouldn’t. Maybe none, IDK.
Simulations maybe? Like the ones for chaotic systems where even the slightest inaccuracy massively throws the result off, where the tiny difference between an exact fraction and a float can seriously impact the accuracy as small errors build up over time.
Are you aware of one that takes place completely within fractions of a few select types? Usually they’re continuous.
I can think of some that are all integers, but I covered that in the edit.