Average Error: 30.8 → 30.8
Time: 16.5s
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 r1389890 = a;
        double r1389891 = asin(r1389890);
        double r1389892 = fmod(r1389890, r1389891);
        double r1389893 = atan(r1389892);
        double r1389894 = r1389890 * r1389890;
        double r1389895 = pow(r1389893, r1389894);
        return r1389895;
}
↓
double f(double a) {
        double r1389896 = a;
        double r1389897 = asin(r1389896);
        double r1389898 = fmod(r1389896, r1389897);
        double r1389899 = atan(r1389898);
        double r1389900 = r1389896 * r1389896;
        double r1389901 = pow(r1389899, r1389900);
        return r1389901;
}

Error

Bits error versus a

Derivation

  1. Initial program 30.8

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

  2. Final simplification30.8

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

Reproduce

herbie shell --seed 2019153 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))