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 r2215203 = re;
        double r2215204 = exp(r2215203);
        double r2215205 = im;
        double r2215206 = cos(r2215205);
        double r2215207 = r2215204 * r2215206;
        return r2215207;
}
↓
double f(double re, double im) {
        double r2215208 = im;
        double r2215209 = cos(r2215208);
        double r2215210 = re;
        double r2215211 = exp(r2215210);
        double r2215212 = r2215209 * r2215211;
        return r2215212;
}

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 2019128 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))