Average Error: 31.5 → 31.5
Time: 5.5s
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 r107518 = a;
        double r107519 = asin(r107518);
        double r107520 = fmod(r107518, r107519);
        double r107521 = atan(r107520);
        double r107522 = r107518 * r107518;
        double r107523 = pow(r107521, r107522);
        return r107523;
}
↓
double f(double a) {
        double r107524 = a;
        double r107525 = asin(r107524);
        double r107526 = fmod(r107524, r107525);
        double r107527 = atan(r107526);
        double r107528 = r107524 * r107524;
        double r107529 = pow(r107527, r107528);
        return r107529;
}

Error

Bits error versus a

Derivation

  1. Initial program 31.5

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

  2. Final simplification31.5

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

Reproduce

herbie shell --seed 2020021 
(FPCore (a)
  :name "Fuzzer 002"
  :precision binary64
  (pow (atan (fmod a (asin a))) (* a a)))