Average Error: 0 → 0
Time: 1.2s
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 r26122 = im;
        double r26123 = re;
        double r26124 = atan2(r26122, r26123);
        return r26124;
}
↓
double f(double re, double im) {
        double r26125 = im;
        double r26126 = re;
        double r26127 = atan2(r26125, r26126);
        return r26127;
}

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 2019195 +o rules:numerics
(FPCore (re im)
  :name "math.arg on complex"
  (atan2 im re))