Average Error: 30.7 → 30.7
Time: 15.2s
Precision: 64
\[{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}\]
↓
\[{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}\]
double f(double a) {
        double r12951215 = a;
        double r12951216 = asin(r12951215);
        double r12951217 = fmod(r12951215, r12951216);
        double r12951218 = atan(r12951217);
        double r12951219 = r12951215 * r12951215;
        double r12951220 = pow(r12951218, r12951219);
        return r12951220;
}
↓
double f(double a) {
        double r12951221 = a;
        double r12951222 = asin(r12951221);
        double r12951223 = fmod(r12951221, r12951222);
        double r12951224 = atan(r12951223);
        double r12951225 = r12951221 * r12951221;
        double r12951226 = pow(r12951224, r12951225);
        return r12951226;
}


{\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)}

Error

Bits error versus a

Derivation

  1. Initial program 30.7

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

  2. Final simplification30.7

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

Reproduce

herbie shell --seed 2019102 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))