Average Error: 0.0 → 0.0
Time: 1.4s
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 r107983 = re;
        double r107984 = exp(r107983);
        double r107985 = im;
        double r107986 = cos(r107985);
        double r107987 = r107984 * r107986;
        return r107987;
}
↓
double f(double re, double im) {
        double r107988 = re;
        double r107989 = exp(r107988);
        double r107990 = im;
        double r107991 = cos(r107990);
        double r107992 = r107989 * r107991;
        return r107992;
}

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 2019354 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))