Average Error: 0.0 → 0.0
Time: 10.8s
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 r1558765 = re;
        double r1558766 = exp(r1558765);
        double r1558767 = im;
        double r1558768 = cos(r1558767);
        double r1558769 = r1558766 * r1558768;
        return r1558769;
}

double f(double re, double im) {
        double r1558770 = im;
        double r1558771 = cos(r1558770);
        double r1558772 = re;
        double r1558773 = exp(r1558772);
        double r1558774 = r1558771 * r1558773;
        return r1558774;
}

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 2019192 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))