Average Error: 0.0 → 0.0
Time: 17.8s
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 r42773 = re;
        double r42774 = exp(r42773);
        double r42775 = im;
        double r42776 = cos(r42775);
        double r42777 = r42774 * r42776;
        return r42777;
}
↓
double f(double re, double im) {
        double r42778 = re;
        double r42779 = exp(r42778);
        double r42780 = im;
        double r42781 = cos(r42780);
        double r42782 = r42779 * r42781;
        return r42782;
}

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 2019323 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))