Average Error: 0.0 → 0.0
Time: 5.9s
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 r52398 = re;
        double r52399 = exp(r52398);
        double r52400 = im;
        double r52401 = cos(r52400);
        double r52402 = r52399 * r52401;
        return r52402;
}
↓
double f(double re, double im) {
        double r52403 = re;
        double r52404 = exp(r52403);
        double r52405 = im;
        double r52406 = cos(r52405);
        double r52407 = r52404 * r52406;
        return r52407;
}

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 2020045 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))