Average Error: 0.0 → 0.0
Time: 2.6s
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 r103985 = re;
        double r103986 = exp(r103985);
        double r103987 = im;
        double r103988 = cos(r103987);
        double r103989 = r103986 * r103988;
        return r103989;
}
↓
double f(double re, double im) {
        double r103990 = re;
        double r103991 = exp(r103990);
        double r103992 = im;
        double r103993 = cos(r103992);
        double r103994 = r103991 * r103993;
        return r103994;
}

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 2019356 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))