Average Error: 0.0 → 0.0
Time: 2.2s
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 r91689 = re;
        double r91690 = exp(r91689);
        double r91691 = im;
        double r91692 = cos(r91691);
        double r91693 = r91690 * r91692;
        return r91693;
}

double f(double re, double im) {
        double r91694 = re;
        double r91695 = exp(r91694);
        double r91696 = im;
        double r91697 = cos(r91696);
        double r91698 = r91695 * r91697;
        return r91698;
}

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 2020033 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))