Average Error: 31.3 → 31.3
Time: 13.7s
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 r4988694 = a;
        double r4988695 = asin(r4988694);
        double r4988696 = fmod(r4988694, r4988695);
        double r4988697 = atan(r4988696);
        double r4988698 = r4988694 * r4988694;
        double r4988699 = pow(r4988697, r4988698);
        return r4988699;
}
↓
double f(double a) {
        double r4988700 = a;
        double r4988701 = asin(r4988700);
        double r4988702 = fmod(r4988700, r4988701);
        double r4988703 = atan(r4988702);
        double r4988704 = r4988700 * r4988700;
        double r4988705 = pow(r4988703, r4988704);
        return r4988705;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.3

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

  2. Final simplification31.3

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

Reproduce

herbie shell --seed 2019170 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))