MPFR has some timing comparison on its page.
https://www.mpfr.org/mpfr-4.0.1/timings.html
Also, MPFR depends on GMP which has integers and rationals. Then there is MPC which in turn depends on MPFR and provides complex numbers.
https://www.mpfr.org/mpfr-4.0.1/timings.html
Also, MPFR depends on GMP which has integers and rationals. Then there is MPC which in turn depends on MPFR and provides complex numbers.