Average Error: 31.0 → 31.0
Time: 6.0s
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 r92142 = a;
        double r92143 = asin(r92142);
        double r92144 = fmod(r92142, r92143);
        double r92145 = atan(r92144);
        double r92146 = r92142 * r92142;
        double r92147 = pow(r92145, r92146);
        return r92147;
}
↓
double f(double a) {
        double r92148 = a;
        double r92149 = asin(r92148);
        double r92150 = fmod(r92148, r92149);
        double r92151 = atan(r92150);
        double r92152 = r92148 * r92148;
        double r92153 = pow(r92151, r92152);
        return r92153;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.0

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

  2. Final simplification31.0

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

Reproduce

herbie shell --seed 2020060 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))