Average Error: 0.0 → 0.0
Time: 1.9s
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 r87989 = re;
        double r87990 = exp(r87989);
        double r87991 = im;
        double r87992 = cos(r87991);
        double r87993 = r87990 * r87992;
        return r87993;
}
↓
double f(double re, double im) {
        double r87994 = re;
        double r87995 = exp(r87994);
        double r87996 = im;
        double r87997 = cos(r87996);
        double r87998 = r87995 * r87997;
        return r87998;
}

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 2020065 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))