Average Error: 30.9 → 30.9
Time: 5.2s
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 r170899 = a;
        double r170900 = asin(r170899);
        double r170901 = fmod(r170899, r170900);
        double r170902 = atan(r170901);
        double r170903 = r170899 * r170899;
        double r170904 = pow(r170902, r170903);
        return r170904;
}
↓
double f(double a) {
        double r170905 = a;
        double r170906 = asin(r170905);
        double r170907 = fmod(r170905, r170906);
        double r170908 = atan(r170907);
        double r170909 = r170905 * r170905;
        double r170910 = pow(r170908, r170909);
        return r170910;
}

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 2019352 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))