Average Error: 31.1 → 31.1
Time: 19.1s
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 r53016 = a;
        double r53017 = asin(r53016);
        double r53018 = fmod(r53016, r53017);
        double r53019 = atan(r53018);
        double r53020 = r53016 * r53016;
        double r53021 = pow(r53019, r53020);
        return r53021;
}
↓
double f(double a) {
        double r53022 = a;
        double r53023 = asin(r53022);
        double r53024 = fmod(r53022, r53023);
        double r53025 = atan(r53024);
        double r53026 = r53022 * r53022;
        double r53027 = pow(r53025, r53026);
        return r53027;
}

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 2019326 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))