Average Error: 31.4 → 31.4
Time: 16.4s
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 r66192 = a;
        double r66193 = asin(r66192);
        double r66194 = fmod(r66192, r66193);
        double r66195 = atan(r66194);
        double r66196 = r66192 * r66192;
        double r66197 = pow(r66195, r66196);
        return r66197;
}
↓
double f(double a) {
        double r66198 = a;
        double r66199 = asin(r66198);
        double r66200 = fmod(r66198, r66199);
        double r66201 = atan(r66200);
        double r66202 = r66198 * r66198;
        double r66203 = pow(r66201, r66202);
        return r66203;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.4

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

  2. Final simplification31.4

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

Reproduce

herbie shell --seed 2019198 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))