Average Error: 31.4 → 31.4
Time: 24.4s
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 r5271397 = a;
        double r5271398 = asin(r5271397);
        double r5271399 = fmod(r5271397, r5271398);
        double r5271400 = atan(r5271399);
        double r5271401 = r5271397 * r5271397;
        double r5271402 = pow(r5271400, r5271401);
        return r5271402;
}
↓
double f(double a) {
        double r5271403 = a;
        double r5271404 = asin(r5271403);
        double r5271405 = fmod(r5271403, r5271404);
        double r5271406 = atan(r5271405);
        double r5271407 = r5271403 * r5271403;
        double r5271408 = pow(r5271406, r5271407);
        return r5271408;
}

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 2019149 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))