Average Error: 30.5 → 30.5
Time: 15.1s
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 r166918 = a;
        double r166919 = asin(r166918);
        double r166920 = fmod(r166918, r166919);
        double r166921 = atan(r166920);
        double r166922 = r166918 * r166918;
        double r166923 = pow(r166921, r166922);
        return r166923;
}
↓
double f(double a) {
        double r166924 = a;
        double r166925 = asin(r166924);
        double r166926 = fmod(r166924, r166925);
        double r166927 = atan(r166926);
        double r166928 = r166924 * r166924;
        double r166929 = pow(r166927, r166928);
        return r166929;
}

Error

Bits error versus a

Derivation

  1. Initial program 30.5

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

  2. Final simplification30.5

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

Reproduce

herbie shell --seed 2020047 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))