Average Error: 31.1 → 31.1
Time: 18.0s
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 r87736 = a;
        double r87737 = asin(r87736);
        double r87738 = fmod(r87736, r87737);
        double r87739 = atan(r87738);
        double r87740 = r87736 * r87736;
        double r87741 = pow(r87739, r87740);
        return r87741;
}
↓
double f(double a) {
        double r87742 = a;
        double r87743 = asin(r87742);
        double r87744 = fmod(r87742, r87743);
        double r87745 = atan(r87744);
        double r87746 = r87742 * r87742;
        double r87747 = pow(r87745, r87746);
        return r87747;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.1

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

  2. Final simplification31.1

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

Reproduce

herbie shell --seed 2019326 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))