Average Error: 31.2 → 31.2
Time: 18.4s
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 r73418 = a;
        double r73419 = asin(r73418);
        double r73420 = fmod(r73418, r73419);
        double r73421 = atan(r73420);
        double r73422 = r73418 * r73418;
        double r73423 = pow(r73421, r73422);
        return r73423;
}
↓
double f(double a) {
        double r73424 = a;
        double r73425 = asin(r73424);
        double r73426 = fmod(r73424, r73425);
        double r73427 = atan(r73426);
        double r73428 = r73424 * r73424;
        double r73429 = pow(r73427, r73428);
        return r73429;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.2

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

  2. Final simplification31.2

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

Reproduce

herbie shell --seed 2019322 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))