Average Error: 31.4 → 31.4
Time: 17.9s
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 r2295517 = a;
        double r2295518 = asin(r2295517);
        double r2295519 = fmod(r2295517, r2295518);
        double r2295520 = atan(r2295519);
        double r2295521 = r2295517 * r2295517;
        double r2295522 = pow(r2295520, r2295521);
        return r2295522;
}
↓
double f(double a) {
        double r2295523 = a;
        double r2295524 = asin(r2295523);
        double r2295525 = fmod(r2295523, r2295524);
        double r2295526 = atan(r2295525);
        double r2295527 = r2295523 * r2295523;
        double r2295528 = pow(r2295526, r2295527);
        return r2295528;
}

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 2019129 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))