Average Error: 0.0 → 0.0
Time: 4.2s
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 r127914 = re;
        double r127915 = exp(r127914);
        double r127916 = im;
        double r127917 = cos(r127916);
        double r127918 = r127915 * r127917;
        return r127918;
}
↓
double f(double re, double im) {
        double r127919 = re;
        double r127920 = exp(r127919);
        double r127921 = im;
        double r127922 = cos(r127921);
        double r127923 = r127920 * r127922;
        return r127923;
}

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 2019322 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))