Average Error: 0.0 → 0.0
Time: 24.5s
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 r1907616 = re;
        double r1907617 = exp(r1907616);
        double r1907618 = im;
        double r1907619 = cos(r1907618);
        double r1907620 = r1907617 * r1907619;
        return r1907620;
}
↓
double f(double re, double im) {
        double r1907621 = im;
        double r1907622 = cos(r1907621);
        double r1907623 = re;
        double r1907624 = exp(r1907623);
        double r1907625 = r1907622 * r1907624;
        return r1907625;
}

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 2019168 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))