Average Error: 30.9 → 30.9
Time: 16.5s
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 r11308294 = a;
        double r11308295 = asin(r11308294);
        double r11308296 = fmod(r11308294, r11308295);
        double r11308297 = atan(r11308296);
        double r11308298 = r11308294 * r11308294;
        double r11308299 = pow(r11308297, r11308298);
        return r11308299;
}
↓
double f(double a) {
        double r11308300 = a;
        double r11308301 = asin(r11308300);
        double r11308302 = fmod(r11308300, r11308301);
        double r11308303 = atan(r11308302);
        double r11308304 = r11308300 * r11308300;
        double r11308305 = pow(r11308303, r11308304);
        return r11308305;
}

Error

Bits error versus a

Derivation

  1. Initial program 30.9

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

  2. Final simplification30.9

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

Reproduce

herbie shell --seed 2019121 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))