Average Error: 0.9 → 0.9
Time: 11.2s
Precision: 64
\[\frac{\tan^{-1}_* \frac{im}{re}}{\log 10}\]
↓
\[\frac{\tan^{-1}_* \frac{im}{re}}{\log 10}\]
\frac{\tan^{-1}_* \frac{im}{re}}{\log 10}
↓
\frac{\tan^{-1}_* \frac{im}{re}}{\log 10}
double f(double re, double im) {
        double r723143 = im;
        double r723144 = re;
        double r723145 = atan2(r723143, r723144);
        double r723146 = 10.0;
        double r723147 = log(r723146);
        double r723148 = r723145 / r723147;
        return r723148;
}
↓
double f(double re, double im) {
        double r723149 = im;
        double r723150 = re;
        double r723151 = atan2(r723149, r723150);
        double r723152 = 10.0;
        double r723153 = log(r723152);
        double r723154 = r723151 / r723153;
        return r723154;
}

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 0.9

    \[\frac{\tan^{-1}_* \frac{im}{re}}{\log 10}\]

  2. Final simplification0.9

    \[\leadsto \frac{\tan^{-1}_* \frac{im}{re}}{\log 10}\]

Reproduce

herbie shell --seed 2019155 
(FPCore (re im)
  :name "math.log10 on complex, imaginary part"
  (/ (atan2 im re) (log 10)))