Average Error: 0 → 0
Time: 716.0ms
Precision: 64
\[\tan^{-1}_* \frac{im}{re}\]
↓
\[\tan^{-1}_* \frac{im}{re}\]
\tan^{-1}_* \frac{im}{re}
↓
\tan^{-1}_* \frac{im}{re}
double f(double re, double im) {
        double r1285881 = im;
        double r1285882 = re;
        double r1285883 = atan2(r1285881, r1285882);
        return r1285883;
}
↓
double f(double re, double im) {
        double r1285884 = im;
        double r1285885 = re;
        double r1285886 = atan2(r1285884, r1285885);
        return r1285886;
}

Error

Bits error versus re

Bits error versus im

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0

    \[\tan^{-1}_* \frac{im}{re}\]

  2. Final simplification0

    \[\leadsto \tan^{-1}_* \frac{im}{re}\]

Reproduce

herbie shell --seed 2019158 +o rules:numerics
(FPCore (re im)
  :name "math.log/1 on complex, imaginary part"
  (atan2 im re))