Average Error: 31.1 → 31.1
Time: 7.6s
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 r138146 = a;
        double r138147 = asin(r138146);
        double r138148 = fmod(r138146, r138147);
        double r138149 = atan(r138148);
        double r138150 = r138146 * r138146;
        double r138151 = pow(r138149, r138150);
        return r138151;
}
↓
double f(double a) {
        double r138152 = a;
        double r138153 = asin(r138152);
        double r138154 = fmod(r138152, r138153);
        double r138155 = atan(r138154);
        double r138156 = r138152 * r138152;
        double r138157 = pow(r138155, r138156);
        return r138157;
}

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 2020035 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))