\[{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}\]

↓

\[{\left(\tan^{-1} \left((e^{\log_* (1 + \left(a \bmod \left(\sin^{-1} a\right)\right))} - 1)^*\right)\right)}^{\left(a \cdot a\right)}\]

Derivation

Initial program 31.1
\[{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}\]
Using strategy rm
Applied expm1-log1p-u31.1
\[\leadsto {\left(\tan^{-1} \color{blue}{\left((e^{\log_* (1 + \left(a \bmod \left(\sin^{-1} a\right)\right))} - 1)^*\right)}\right)}^{\left(a \cdot a\right)}\]
Final simplification31.1
\[\leadsto {\left(\tan^{-1} \left((e^{\log_* (1 + \left(a \bmod \left(\sin^{-1} a\right)\right))} - 1)^*\right)\right)}^{\left(a \cdot a\right)}\]

Runtime

herbie shell --seed 2018296 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))