Average Error: 30.6 → 30.6
Time: 19.6s
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 r77291 = a;
        double r77292 = asin(r77291);
        double r77293 = fmod(r77291, r77292);
        double r77294 = atan(r77293);
        double r77295 = r77291 * r77291;
        double r77296 = pow(r77294, r77295);
        return r77296;
}
↓
double f(double a) {
        double r77297 = a;
        double r77298 = asin(r77297);
        double r77299 = fmod(r77297, r77298);
        double r77300 = atan(r77299);
        double r77301 = r77297 * r77297;
        double r77302 = pow(r77300, r77301);
        return r77302;
}

Error

Bits error versus a

Derivation

  1. Initial program 30.6

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

  2. Final simplification30.6

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

Reproduce

herbie shell --seed 2019195 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))