Average Error: 30.6 → 30.6
Time: 17.7s
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 r4472901 = a;
        double r4472902 = asin(r4472901);
        double r4472903 = fmod(r4472901, r4472902);
        double r4472904 = atan(r4472903);
        double r4472905 = r4472901 * r4472901;
        double r4472906 = pow(r4472904, r4472905);
        return r4472906;
}
↓
double f(double a) {
        double r4472907 = a;
        double r4472908 = asin(r4472907);
        double r4472909 = fmod(r4472907, r4472908);
        double r4472910 = atan(r4472909);
        double r4472911 = r4472907 * r4472907;
        double r4472912 = pow(r4472910, r4472911);
        return r4472912;
}

Error

Bits error versus a

Derivation

  1. Initial program 30.6

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

  2. Final simplification30.6

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

Reproduce

herbie shell --seed 2019130 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))