Average Error: 0.0 → 0.0
Time: 2.9s
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 r1324623 = re;
        double r1324624 = exp(r1324623);
        double r1324625 = im;
        double r1324626 = cos(r1324625);
        double r1324627 = r1324624 * r1324626;
        return r1324627;
}
↓
double f(double re, double im) {
        double r1324628 = im;
        double r1324629 = cos(r1324628);
        double r1324630 = re;
        double r1324631 = exp(r1324630);
        double r1324632 = r1324629 * r1324631;
        return r1324632;
}

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 2019171 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))