Average Error: 0 → 0
Time: 382.0ms
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 r97007 = im;
        double r97008 = re;
        double r97009 = atan2(r97007, r97008);
        return r97009;
}

double f(double re, double im) {
        double r97010 = im;
        double r97011 = re;
        double r97012 = atan2(r97010, r97011);
        return r97012;
}

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 2019351 
(FPCore (re im)
  :name "math.arg on complex"
  :precision binary64
  (atan2 im re))