It's unfortunate there is no an equality decision procedure. If two numbers are equal you will see that the difference is zero no matter how much precision you request, but of you always see zero difference you will never know if the numbers are equal or you just have to keep searching.
I know that such a decision procedure exists for algebraic number (i.e., you can allow roots of any orders and general polynomial root extraction), but I don't know about transcendental functions like exponential and logarithm. And frankly it smells a lot of undecidability. Computational things tend to become undecidable just a little bit after they become interesting, and sometimes even before.
I know that such a decision procedure exists for algebraic number (i.e., you can allow roots of any orders and general polynomial root extraction), but I don't know about transcendental functions like exponential and logarithm. And frankly it smells a lot of undecidability. Computational things tend to become undecidable just a little bit after they become interesting, and sometimes even before.