Average Error: 31.0 → 31.0
Time: 18.2s
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 r10206365 = a;
        double r10206366 = asin(r10206365);
        double r10206367 = fmod(r10206365, r10206366);
        double r10206368 = atan(r10206367);
        double r10206369 = r10206365 * r10206365;
        double r10206370 = pow(r10206368, r10206369);
        return r10206370;
}
↓
double f(double a) {
        double r10206371 = a;
        double r10206372 = asin(r10206371);
        double r10206373 = fmod(r10206371, r10206372);
        double r10206374 = atan(r10206373);
        double r10206375 = r10206371 * r10206371;
        double r10206376 = pow(r10206374, r10206375);
        return r10206376;
}

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 2019158 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))