Average Error: 31.5 → 31.5
Time: 18.2s
Precision: 64
\[{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}\]
↓
\[{\left(\tan^{-1} \left(a \bmod \left(\sin^{-1} a\right)\right)\right)}^{\left(a \cdot a\right)}\]
{\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 r82215 = a;
        double r82216 = asin(r82215);
        double r82217 = fmod(r82215, r82216);
        double r82218 = atan(r82217);
        double r82219 = r82215 * r82215;
        double r82220 = pow(r82218, r82219);
        return r82220;
}
↓
double f(double a) {
        double r82221 = a;
        double r82222 = asin(r82221);
        double r82223 = fmod(r82221, r82222);
        double r82224 = atan(r82223);
        double r82225 = r82221 * r82221;
        double r82226 = pow(r82224, r82225);
        return r82226;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.5

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

  2. Final simplification31.5

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

Reproduce

herbie shell --seed 2019194 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))