Average Error: 0.0 → 0.0
Time: 19.7s
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 r1570059 = re;
        double r1570060 = exp(r1570059);
        double r1570061 = im;
        double r1570062 = cos(r1570061);
        double r1570063 = r1570060 * r1570062;
        return r1570063;
}
↓
double f(double re, double im) {
        double r1570064 = im;
        double r1570065 = cos(r1570064);
        double r1570066 = re;
        double r1570067 = exp(r1570066);
        double r1570068 = r1570065 * r1570067;
        return r1570068;
}

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 2019151 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))