Average Error: 30.7 → 30.7
Time: 18.9s
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 r103686 = a;
        double r103687 = asin(r103686);
        double r103688 = fmod(r103686, r103687);
        double r103689 = atan(r103688);
        double r103690 = r103686 * r103686;
        double r103691 = pow(r103689, r103690);
        return r103691;
}
↓
double f(double a) {
        double r103692 = a;
        double r103693 = asin(r103692);
        double r103694 = fmod(r103692, r103693);
        double r103695 = atan(r103694);
        double r103696 = r103692 * r103692;
        double r103697 = pow(r103695, r103696);
        return r103697;
}

Error

Bits error versus a

Derivation

  1. Initial program 30.7

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

  2. Final simplification30.7

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

Reproduce

herbie shell --seed 2019174 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))