Average Error: 0.0 → 0.0
Time: 11.8s
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 r88214 = re;
        double r88215 = exp(r88214);
        double r88216 = im;
        double r88217 = cos(r88216);
        double r88218 = r88215 * r88217;
        return r88218;
}
↓
double f(double re, double im) {
        double r88219 = re;
        double r88220 = exp(r88219);
        double r88221 = im;
        double r88222 = cos(r88221);
        double r88223 = r88220 * r88222;
        return r88223;
}

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)))