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 r127759 = a;
        double r127760 = asin(r127759);
        double r127761 = fmod(r127759, r127760);
        double r127762 = atan(r127761);
        double r127763 = r127759 * r127759;
        double r127764 = pow(r127762, r127763);
        return r127764;
}
↓
double f(double a) {
        double r127765 = a;
        double r127766 = asin(r127765);
        double r127767 = fmod(r127765, r127766);
        double r127768 = atan(r127767);
        double r127769 = r127765 * r127765;
        double r127770 = pow(r127768, r127769);
        return r127770;
}

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)))