Average Error: 31.2 → 31.2
Time: 16.3s
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 r1722941 = a;
        double r1722942 = asin(r1722941);
        double r1722943 = fmod(r1722941, r1722942);
        double r1722944 = atan(r1722943);
        double r1722945 = r1722941 * r1722941;
        double r1722946 = pow(r1722944, r1722945);
        return r1722946;
}
↓
double f(double a) {
        double r1722947 = a;
        double r1722948 = asin(r1722947);
        double r1722949 = fmod(r1722947, r1722948);
        double r1722950 = atan(r1722949);
        double r1722951 = r1722947 * r1722947;
        double r1722952 = pow(r1722950, r1722951);
        return r1722952;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.2

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

  2. Final simplification31.2

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

Reproduce

herbie shell --seed 2019156 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))