Average Error: 0 → 0
Time: 870.0ms
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 r1338575 = im;
        double r1338576 = re;
        double r1338577 = atan2(r1338575, r1338576);
        return r1338577;
}
↓
double f(double re, double im) {
        double r1338578 = im;
        double r1338579 = re;
        double r1338580 = atan2(r1338578, r1338579);
        return r1338580;
}

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 2019170 
(FPCore (re im)
  :name "math.arg on complex"
  (atan2 im re))