Average Error: 31.6 → 31.6
Time: 25.2s
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 r3587650 = a;
        double r3587651 = asin(r3587650);
        double r3587652 = fmod(r3587650, r3587651);
        double r3587653 = atan(r3587652);
        double r3587654 = r3587650 * r3587650;
        double r3587655 = pow(r3587653, r3587654);
        return r3587655;
}
↓
double f(double a) {
        double r3587656 = a;
        double r3587657 = asin(r3587656);
        double r3587658 = fmod(r3587656, r3587657);
        double r3587659 = atan(r3587658);
        double r3587660 = r3587656 * r3587656;
        double r3587661 = pow(r3587659, r3587660);
        return r3587661;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.6

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

  2. Final simplification31.6

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

Reproduce

herbie shell --seed 2019165 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))