Average Error: 0 → 0
Time: 360.0ms
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 r93752 = im;
        double r93753 = re;
        double r93754 = atan2(r93752, r93753);
        return r93754;
}
↓
double f(double re, double im) {
        double r93755 = im;
        double r93756 = re;
        double r93757 = atan2(r93755, r93756);
        return r93757;
}

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 2020042 +o rules:numerics
(FPCore (re im)
  :name "math.arg on complex"
  :precision binary64
  (atan2 im re))