Average Error: 30.6 → 30.6
Time: 20.7s
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 r19738103 = a;
        double r19738104 = asin(r19738103);
        double r19738105 = fmod(r19738103, r19738104);
        double r19738106 = atan(r19738105);
        double r19738107 = r19738103 * r19738103;
        double r19738108 = pow(r19738106, r19738107);
        return r19738108;
}
↓
double f(double a) {
        double r19738109 = a;
        double r19738110 = asin(r19738109);
        double r19738111 = fmod(r19738109, r19738110);
        double r19738112 = atan(r19738111);
        double r19738113 = r19738109 * r19738109;
        double r19738114 = pow(r19738112, r19738113);
        return r19738114;
}

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 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))