Average Error: 31.2 → 31.2
Time: 7.0s
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 r149618 = a;
        double r149619 = asin(r149618);
        double r149620 = fmod(r149618, r149619);
        double r149621 = atan(r149620);
        double r149622 = r149618 * r149618;
        double r149623 = pow(r149621, r149622);
        return r149623;
}
↓
double f(double a) {
        double r149624 = a;
        double r149625 = asin(r149624);
        double r149626 = fmod(r149624, r149625);
        double r149627 = atan(r149626);
        double r149628 = r149624 * r149624;
        double r149629 = pow(r149627, r149628);
        return r149629;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.2

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

  2. Final simplification31.2

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

Reproduce

herbie shell --seed 2020034 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))