Average Error: 30.9 → 30.9
Time: 16.9s
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 r11406878 = a;
        double r11406879 = asin(r11406878);
        double r11406880 = fmod(r11406878, r11406879);
        double r11406881 = atan(r11406880);
        double r11406882 = r11406878 * r11406878;
        double r11406883 = pow(r11406881, r11406882);
        return r11406883;
}
↓
double f(double a) {
        double r11406884 = a;
        double r11406885 = asin(r11406884);
        double r11406886 = fmod(r11406884, r11406885);
        double r11406887 = atan(r11406886);
        double r11406888 = r11406884 * r11406884;
        double r11406889 = pow(r11406887, r11406888);
        return r11406889;
}

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 2019121 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))