Average Error: 30.4 → 30.4
Time: 19.8s
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 r2484434 = a;
        double r2484435 = asin(r2484434);
        double r2484436 = fmod(r2484434, r2484435);
        double r2484437 = atan(r2484436);
        double r2484438 = r2484434 * r2484434;
        double r2484439 = pow(r2484437, r2484438);
        return r2484439;
}
↓
double f(double a) {
        double r2484440 = a;
        double r2484441 = asin(r2484440);
        double r2484442 = fmod(r2484440, r2484441);
        double r2484443 = atan(r2484442);
        double r2484444 = r2484440 * r2484440;
        double r2484445 = pow(r2484443, r2484444);
        return r2484445;
}

Error

Bits error versus a

Derivation

  1. Initial program 30.4

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

  2. Final simplification30.4

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

Reproduce

herbie shell --seed 2019133 +o rules:numerics
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))