Average Error: 31.7 → 31.7
Time: 13.3s
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 r5505126 = a;
        double r5505127 = asin(r5505126);
        double r5505128 = fmod(r5505126, r5505127);
        double r5505129 = atan(r5505128);
        double r5505130 = r5505126 * r5505126;
        double r5505131 = pow(r5505129, r5505130);
        return r5505131;
}
↓
double f(double a) {
        double r5505132 = a;
        double r5505133 = asin(r5505132);
        double r5505134 = fmod(r5505132, r5505133);
        double r5505135 = atan(r5505134);
        double r5505136 = r5505132 * r5505132;
        double r5505137 = pow(r5505135, r5505136);
        return r5505137;
}

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 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))