Average Error: 0.0 → 0.0
Time: 2.1s
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 r38791 = re;
        double r38792 = exp(r38791);
        double r38793 = im;
        double r38794 = cos(r38793);
        double r38795 = r38792 * r38794;
        return r38795;
}
↓
double f(double re, double im) {
        double r38796 = re;
        double r38797 = exp(r38796);
        double r38798 = im;
        double r38799 = cos(r38798);
        double r38800 = r38797 * r38799;
        return r38800;
}

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 2019352 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))