Average Error: 31.6 → 31.6
Time: 5.2s
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 r101584 = a;
        double r101585 = asin(r101584);
        double r101586 = fmod(r101584, r101585);
        double r101587 = atan(r101586);
        double r101588 = r101584 * r101584;
        double r101589 = pow(r101587, r101588);
        return r101589;
}
↓
double f(double a) {
        double r101590 = a;
        double r101591 = asin(r101590);
        double r101592 = fmod(r101590, r101591);
        double r101593 = atan(r101592);
        double r101594 = r101590 * r101590;
        double r101595 = pow(r101593, r101594);
        return r101595;
}

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 2019353 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))