Average Error: 0.0 → 0.0
Time: 8.4s
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 r737735 = re;
        double r737736 = exp(r737735);
        double r737737 = im;
        double r737738 = cos(r737737);
        double r737739 = r737736 * r737738;
        return r737739;
}
↓
double f(double re, double im) {
        double r737740 = im;
        double r737741 = cos(r737740);
        double r737742 = re;
        double r737743 = exp(r737742);
        double r737744 = r737741 * r737743;
        return r737744;
}

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 2019129 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))