Average Error: 31.6 → 31.6
Time: 22.9s
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 r3632844 = a;
        double r3632845 = asin(r3632844);
        double r3632846 = fmod(r3632844, r3632845);
        double r3632847 = atan(r3632846);
        double r3632848 = r3632844 * r3632844;
        double r3632849 = pow(r3632847, r3632848);
        return r3632849;
}
↓
double f(double a) {
        double r3632850 = a;
        double r3632851 = asin(r3632850);
        double r3632852 = fmod(r3632850, r3632851);
        double r3632853 = atan(r3632852);
        double r3632854 = r3632850 * r3632850;
        double r3632855 = pow(r3632853, r3632854);
        return r3632855;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.6

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

  2. Final simplification31.6

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

Reproduce

herbie shell --seed 2019165 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))