Average Error: 0.0 → 0.0
Time: 4.3s
Precision: 64
\[e^{re} \cdot \cos im\]
↓
\[\cos im \cdot e^{re}\]
e^{re} \cdot \cos im
↓
\cos im \cdot e^{re}
double f(double re, double im) {
        double r850265 = re;
        double r850266 = exp(r850265);
        double r850267 = im;
        double r850268 = cos(r850267);
        double r850269 = r850266 * r850268;
        return r850269;
}
↓
double f(double re, double im) {
        double r850270 = im;
        double r850271 = cos(r850270);
        double r850272 = re;
        double r850273 = exp(r850272);
        double r850274 = r850271 * r850273;
        return r850274;
}

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

    \[\leadsto \cos im \cdot e^{re}\]

Reproduce

herbie shell --seed 2019119 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))