Average Error: 31.1 → 31.1
Time: 18.1s
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 r2357695 = a;
        double r2357696 = asin(r2357695);
        double r2357697 = fmod(r2357695, r2357696);
        double r2357698 = atan(r2357697);
        double r2357699 = r2357695 * r2357695;
        double r2357700 = pow(r2357698, r2357699);
        return r2357700;
}
↓
double f(double a) {
        double r2357701 = a;
        double r2357702 = asin(r2357701);
        double r2357703 = fmod(r2357701, r2357702);
        double r2357704 = atan(r2357703);
        double r2357705 = r2357701 * r2357701;
        double r2357706 = pow(r2357704, r2357705);
        return r2357706;
}

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 2019132 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))