Average Error: 0 → 0
Time: 929.0ms
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 r1632809 = im;
        double r1632810 = re;
        double r1632811 = atan2(r1632809, r1632810);
        return r1632811;
}
↓
double f(double re, double im) {
        double r1632812 = im;
        double r1632813 = re;
        double r1632814 = atan2(r1632812, r1632813);
        return r1632814;
}

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 2019171 
(FPCore (re im)
  :name "math.arg on complex"
  (atan2 im re))