Average Error: 31.0 → 31.0
Time: 21.6s
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 r3628814 = a;
        double r3628815 = asin(r3628814);
        double r3628816 = fmod(r3628814, r3628815);
        double r3628817 = atan(r3628816);
        double r3628818 = r3628814 * r3628814;
        double r3628819 = pow(r3628817, r3628818);
        return r3628819;
}
↓
double f(double a) {
        double r3628820 = a;
        double r3628821 = asin(r3628820);
        double r3628822 = fmod(r3628820, r3628821);
        double r3628823 = atan(r3628822);
        double r3628824 = r3628820 * r3628820;
        double r3628825 = pow(r3628823, r3628824);
        return r3628825;
}

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 2019192 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))