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 r35791 = re;
        double r35792 = exp(r35791);
        double r35793 = im;
        double r35794 = cos(r35793);
        double r35795 = r35792 * r35794;
        return r35795;
}
↓
double f(double re, double im) {
        double r35796 = re;
        double r35797 = exp(r35796);
        double r35798 = im;
        double r35799 = cos(r35798);
        double r35800 = r35797 * r35799;
        return r35800;
}

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 2020089 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))