Average Error: 31.6 → 31.6
Time: 27.0s
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 r3084250 = a;
        double r3084251 = asin(r3084250);
        double r3084252 = fmod(r3084250, r3084251);
        double r3084253 = atan(r3084252);
        double r3084254 = r3084250 * r3084250;
        double r3084255 = pow(r3084253, r3084254);
        return r3084255;
}
↓
double f(double a) {
        double r3084256 = a;
        double r3084257 = asin(r3084256);
        double r3084258 = fmod(r3084256, r3084257);
        double r3084259 = atan(r3084258);
        double r3084260 = r3084256 * r3084256;
        double r3084261 = pow(r3084259, r3084260);
        return r3084261;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.6

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

  2. Final simplification31.6

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

Reproduce

herbie shell --seed 2019165 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))