Average Error: 30.9 → 30.9
Time: 16.8s
Precision: 64
\[{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}\]
↓
\[{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}\]
{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}
↓
{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}
double f(double a) {
        double r12494962 = a;
        double r12494963 = asin(r12494962);
        double r12494964 = fmod(r12494962, r12494963);
        double r12494965 = atan(r12494964);
        double r12494966 = r12494962 * r12494962;
        double r12494967 = pow(r12494965, r12494966);
        return r12494967;
}
↓
double f(double a) {
        double r12494968 = a;
        double r12494969 = asin(r12494968);
        double r12494970 = fmod(r12494968, r12494969);
        double r12494971 = atan(r12494970);
        double r12494972 = r12494968 * r12494968;
        double r12494973 = pow(r12494971, r12494972);
        return r12494973;
}

Error

Bits error versus a

Derivation

  1. Initial program 30.9

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

  2. Final simplification30.9

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

Reproduce

herbie shell --seed 2019107 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))