Average Error: 31.5 → 31.5
Time: 5.2s
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 r111606 = a;
        double r111607 = asin(r111606);
        double r111608 = fmod(r111606, r111607);
        double r111609 = atan(r111608);
        double r111610 = r111606 * r111606;
        double r111611 = pow(r111609, r111610);
        return r111611;
}
↓
double f(double a) {
        double r111612 = a;
        double r111613 = asin(r111612);
        double r111614 = fmod(r111612, r111613);
        double r111615 = atan(r111614);
        double r111616 = r111612 * r111612;
        double r111617 = pow(r111615, r111616);
        return r111617;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.5

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

  2. Final simplification31.5

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

Reproduce

herbie shell --seed 2020056 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))