Given two expressions A and B involving integers, $\pi$, powers to rational exponents, and cosine, is there a software that determines if A > B? (Note in particular this could be used to determine if A = B or not.)

I am aware of the long-standing sum-of-square-roots problem in complexity theory. I am asking if there is a software implementation of a sound algorithm, which may take a long time or even not always terminate. As far as I know, standard math software, even if symbolic, resorts to decimal expansion to determine if A > B; but without mathematical guarantee.

Given two expressions A and B involving integers, $\pi$, powers to rational exponents, and cosine, is there a software that determines if A = B? (Previous question asked A > B, but the bottleneck is equality.)

I am aware of the long-standing sum-of-square-roots problem in complexity theory. I am asking if there is a software implementation of a sound algorithm, which may take a long time or even not always terminate. As far as I know, standard math software, even if symbolic, resorts to decimal expansion to determine if A > B; but without mathematical guarantee.

Given two expressions A and B involving integers, $\pi$, powers to rational exponents, and cosine, is there a software that determines if A > B?

I am aware of the long-standing sum-of-square-roots problem in complexity theory. I am asking if there is a software implementation of the (slow) known algorithm. As far as I know, standard math software, even if symbolic, resorts to decimal expansion to determine if A > B; but without mathematical guarantee.

Given two expressions A and B involving integers, $\pi$, powers to rational exponents, and cosine, is there a software that determines if A > B? (Note in particular this could be used to determine if A = B or not.)

I am aware of the long-standing sum-of-square-roots problem in complexity theory. I am asking if there is a software implementation of a sound algorithm, which may take a long time or even not always terminate. As far as I know, standard math software, even if symbolic, resorts to decimal expansion to determine if A > B; but without mathematical guarantee.