Average Error: 31.4 → 31.4
Time: 5.2s
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 r129264 = a;
        double r129265 = asin(r129264);
        double r129266 = fmod(r129264, r129265);
        double r129267 = atan(r129266);
        double r129268 = r129264 * r129264;
        double r129269 = pow(r129267, r129268);
        return r129269;
}
↓
double f(double a) {
        double r129270 = a;
        double r129271 = asin(r129270);
        double r129272 = fmod(r129270, r129271);
        double r129273 = atan(r129272);
        double r129274 = r129270 * r129270;
        double r129275 = pow(r129273, r129274);
        return r129275;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.4

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

  2. Final simplification31.4

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

Reproduce

herbie shell --seed 2020001 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))