Average Error: 0.0 → 0.0
Time: 13.0s
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 r1180197 = re;
        double r1180198 = exp(r1180197);
        double r1180199 = im;
        double r1180200 = cos(r1180199);
        double r1180201 = r1180198 * r1180200;
        return r1180201;
}
↓
double f(double re, double im) {
        double r1180202 = im;
        double r1180203 = cos(r1180202);
        double r1180204 = re;
        double r1180205 = exp(r1180204);
        double r1180206 = r1180203 * r1180205;
        return r1180206;
}

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 2019139 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))