IA always returns a correct, but possibly useless, result. There are multiple optimizations to IA like Affine Arithmetic (AA) that can produce correct and usefu

IA always returns a correct, but possibly useless, result. There are multiple optimizations to IA like Affine Arithmetic (AA) that can produce correct and useful results for wider problems. Also there is always a quick-and-dirty way to increase the precision when the result is deemed useless; this also happens to be a general approach to implement arbitrary-precision math functions.