Average Error: 0.0 → 0.0
Time: 2.8s
Precision: 64
\[e^{re} \cdot \cos im\]
↓
\[e^{re} \cdot \cos im\]
e^{re} \cdot \cos im
↓
e^{re} \cdot \cos im
double f(double re, double im) {
        double r36916 = re;
        double r36917 = exp(r36916);
        double r36918 = im;
        double r36919 = cos(r36918);
        double r36920 = r36917 * r36919;
        return r36920;
}
↓
double f(double re, double im) {
        double r36921 = re;
        double r36922 = exp(r36921);
        double r36923 = im;
        double r36924 = cos(r36923);
        double r36925 = r36922 * r36924;
        return r36925;
}

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 0.0

    \[e^{re} \cdot \cos im\]

  2. Final simplification0.0

    \[\leadsto e^{re} \cdot \cos im\]

Reproduce

herbie shell --seed 2019297 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))