Average Error: 30.6 → 30.6
Time: 15.8s
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 r14989631 = a;
        double r14989632 = asin(r14989631);
        double r14989633 = fmod(r14989631, r14989632);
        double r14989634 = atan(r14989633);
        double r14989635 = r14989631 * r14989631;
        double r14989636 = pow(r14989634, r14989635);
        return r14989636;
}
↓
double f(double a) {
        double r14989637 = a;
        double r14989638 = asin(r14989637);
        double r14989639 = fmod(r14989637, r14989638);
        double r14989640 = atan(r14989639);
        double r14989641 = r14989637 * r14989637;
        double r14989642 = pow(r14989640, r14989641);
        return r14989642;
}

Error

Bits error versus a

Derivation

  1. Initial program 30.6

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

  2. Final simplification30.6

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

Reproduce

herbie shell --seed 2019120 
(FPCore (a)
  :name "Fuzzer 002"
  (pow (atan (fmod a (asin a))) (* a a)))