Average Error: 30.9 → 30.9
Time: 18.8s
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 r96686 = a;
        double r96687 = asin(r96686);
        double r96688 = fmod(r96686, r96687);
        double r96689 = atan(r96688);
        double r96690 = r96686 * r96686;
        double r96691 = pow(r96689, r96690);
        return r96691;
}
↓
double f(double a) {
        double r96692 = a;
        double r96693 = asin(r96692);
        double r96694 = fmod(r96692, r96693);
        double r96695 = atan(r96694);
        double r96696 = r96692 * r96692;
        double r96697 = pow(r96695, r96696);
        return r96697;
}

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 2019304 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))