Average Error: 30.9 → 30.9
Time: 10.4s
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 r108944 = a;
        double r108945 = asin(r108944);
        double r108946 = fmod(r108944, r108945);
        double r108947 = atan(r108946);
        double r108948 = r108944 * r108944;
        double r108949 = pow(r108947, r108948);
        return r108949;
}
↓
double f(double a) {
        double r108950 = a;
        double r108951 = asin(r108950);
        double r108952 = fmod(r108950, r108951);
        double r108953 = atan(r108952);
        double r108954 = r108950 * r108950;
        double r108955 = pow(r108953, r108954);
        return r108955;
}

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 2019304 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))