Average Error: 0.0 → 0.0
Time: 4.7s
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 r1852371 = re;
        double r1852372 = exp(r1852371);
        double r1852373 = im;
        double r1852374 = cos(r1852373);
        double r1852375 = r1852372 * r1852374;
        return r1852375;
}
↓
double f(double re, double im) {
        double r1852376 = im;
        double r1852377 = cos(r1852376);
        double r1852378 = re;
        double r1852379 = exp(r1852378);
        double r1852380 = r1852377 * r1852379;
        return r1852380;
}

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 2019165 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))