Average Error: 0 → 0
Time: 811.0ms
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 r2741973 = im;
        double r2741974 = re;
        double r2741975 = atan2(r2741973, r2741974);
        return r2741975;
}
↓
double f(double re, double im) {
        double r2741976 = im;
        double r2741977 = re;
        double r2741978 = atan2(r2741976, r2741977);
        return r2741978;
}

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 2019173 
(FPCore (re im)
  :name "math.arg on complex"
  (atan2 im re))