Average Error: 30.6 → 30.6
Time: 18.7s
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 r16948075 = a;
        double r16948076 = asin(r16948075);
        double r16948077 = fmod(r16948075, r16948076);
        double r16948078 = atan(r16948077);
        double r16948079 = r16948075 * r16948075;
        double r16948080 = pow(r16948078, r16948079);
        return r16948080;
}
↓
double f(double a) {
        double r16948081 = a;
        double r16948082 = asin(r16948081);
        double r16948083 = fmod(r16948081, r16948082);
        double r16948084 = atan(r16948083);
        double r16948085 = r16948081 * r16948081;
        double r16948086 = pow(r16948084, r16948085);
        return r16948086;
}

Error

Bits error versus a

Derivation

  1. Initial program 30.6

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

  2. Final simplification30.6

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

Reproduce

herbie shell --seed 2019125 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))