Average Error: 30.6 → 30.6
Time: 19.0s
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 r2432763 = a;
        double r2432764 = asin(r2432763);
        double r2432765 = fmod(r2432763, r2432764);
        double r2432766 = atan(r2432765);
        double r2432767 = r2432763 * r2432763;
        double r2432768 = pow(r2432766, r2432767);
        return r2432768;
}
↓
double f(double a) {
        double r2432769 = a;
        double r2432770 = asin(r2432769);
        double r2432771 = fmod(r2432769, r2432770);
        double r2432772 = atan(r2432771);
        double r2432773 = r2432769 * r2432769;
        double r2432774 = pow(r2432772, r2432773);
        return r2432774;
}

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