Average Error: 31.0 → 31.0
Time: 9.6s
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 r74816 = a;
        double r74817 = asin(r74816);
        double r74818 = fmod(r74816, r74817);
        double r74819 = atan(r74818);
        double r74820 = r74816 * r74816;
        double r74821 = pow(r74819, r74820);
        return r74821;
}
↓
double f(double a) {
        double r74822 = a;
        double r74823 = asin(r74822);
        double r74824 = fmod(r74822, r74823);
        double r74825 = atan(r74824);
        double r74826 = r74822 * r74822;
        double r74827 = pow(r74825, r74826);
        return r74827;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.0

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

  2. Final simplification31.0

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

Reproduce

herbie shell --seed 2020046 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))