Average Error: 0.0 → 0.0
Time: 38.8s
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 r51775 = re;
        double r51776 = exp(r51775);
        double r51777 = im;
        double r51778 = cos(r51777);
        double r51779 = r51776 * r51778;
        return r51779;
}
↓
double f(double re, double im) {
        double r51780 = re;
        double r51781 = exp(r51780);
        double r51782 = im;
        double r51783 = cos(r51782);
        double r51784 = r51781 * r51783;
        return r51784;
}

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)))