Average Error: 30.5 → 30.5
Time: 5.5s
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 r94284 = a;
        double r94285 = asin(r94284);
        double r94286 = fmod(r94284, r94285);
        double r94287 = atan(r94286);
        double r94288 = r94284 * r94284;
        double r94289 = pow(r94287, r94288);
        return r94289;
}
↓
double f(double a) {
        double r94290 = a;
        double r94291 = asin(r94290);
        double r94292 = fmod(r94290, r94291);
        double r94293 = atan(r94292);
        double r94294 = r94290 * r94290;
        double r94295 = pow(r94293, r94294);
        return r94295;
}

Error

Bits error versus a

Derivation

  1. Initial program 30.5

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

  2. Final simplification30.5

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

Reproduce

herbie shell --seed 2020047 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))