Average Error: 31.7 → 31.7
Time: 17.1s
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 r2635053 = a;
        double r2635054 = asin(r2635053);
        double r2635055 = fmod(r2635053, r2635054);
        double r2635056 = atan(r2635055);
        double r2635057 = r2635053 * r2635053;
        double r2635058 = pow(r2635056, r2635057);
        return r2635058;
}
↓
double f(double a) {
        double r2635059 = a;
        double r2635060 = asin(r2635059);
        double r2635061 = fmod(r2635059, r2635060);
        double r2635062 = atan(r2635061);
        double r2635063 = r2635059 * r2635059;
        double r2635064 = pow(r2635062, r2635063);
        return r2635064;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.7

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

  2. Final simplification31.7

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

Reproduce

herbie shell --seed 2019172 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))