Average Error: 31.3 → 31.3
Time: 6.2s
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 r134636 = a;
        double r134637 = asin(r134636);
        double r134638 = fmod(r134636, r134637);
        double r134639 = atan(r134638);
        double r134640 = r134636 * r134636;
        double r134641 = pow(r134639, r134640);
        return r134641;
}
↓
double f(double a) {
        double r134642 = a;
        double r134643 = asin(r134642);
        double r134644 = fmod(r134642, r134643);
        double r134645 = atan(r134644);
        double r134646 = r134642 * r134642;
        double r134647 = pow(r134645, r134646);
        return r134647;
}

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 2020033 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))