Average Error: 0 → 0
Time: 529.0ms
Precision: binary64
\[\tan^{-1}_* \frac{im}{re}\]
↓
\[\tan^{-1}_* \frac{im}{re}\]
\tan^{-1}_* \frac{im}{re}
↓
\tan^{-1}_* \frac{im}{re}
(FPCore (re im) :precision binary64 (atan2 im re))
↓
(FPCore (re im) :precision binary64 (atan2 im re))
double code(double re, double im) {
	return ((double) atan2(im, re));
}
↓
double code(double re, double im) {
	return ((double) atan2(im, re));
}

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 Error: 0 bits

    \[\tan^{-1}_* \frac{im}{re}\]

  2. Final simplificationError: 0 bits

    \[\leadsto \tan^{-1}_* \frac{im}{re}\]

Reproduce

herbie shell --seed 2020204 
(FPCore (re im)
  :name "math.log/1 on complex, imaginary part"
  :precision binary64
  (atan2 im re))