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

↓

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

Derivation

Initial program 30.9
\[{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}\]
Using strategy rm
Applied add-log-exp30.9
\[\leadsto {\left(\tan^{-1} \color{blue}{\left(\log \left(e^{\left(a \bmod \left(\sin^{-1} a\right)\right)}\right)\right)}\right)}^{\left(a \cdot a\right)}\]
Final simplification30.9
\[\leadsto {\left(\tan^{-1} \left(\log \left(e^{\left(a \bmod \left(\sin^{-1} a\right)\right)}\right)\right)\right)}^{\left(a \cdot a\right)}\]

Runtime

herbie shell --seed 2018251 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))