Average Error: 0.0 → 0.0
Time: 14.6s
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 r44222 = re;
        double r44223 = exp(r44222);
        double r44224 = im;
        double r44225 = cos(r44224);
        double r44226 = r44223 * r44225;
        return r44226;
}
↓
double f(double re, double im) {
        double r44227 = re;
        double r44228 = exp(r44227);
        double r44229 = im;
        double r44230 = cos(r44229);
        double r44231 = r44228 * r44230;
        return r44231;
}

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 2019325 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))