Average Error: 30.4 → 30.4
Time: 5.9s
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 r114528 = a;
        double r114529 = asin(r114528);
        double r114530 = fmod(r114528, r114529);
        double r114531 = atan(r114530);
        double r114532 = r114528 * r114528;
        double r114533 = pow(r114531, r114532);
        return r114533;
}
↓
double f(double a) {
        double r114534 = a;
        double r114535 = asin(r114534);
        double r114536 = fmod(r114534, r114535);
        double r114537 = atan(r114536);
        double r114538 = r114534 * r114534;
        double r114539 = pow(r114537, r114538);
        return r114539;
}

Error

Bits error versus a

Derivation

  1. Initial program 30.4

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

  2. Final simplification30.4

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

Reproduce

herbie shell --seed 2020062 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))