Average Error: 0.0 → 0.0
Time: 7.9s
Precision: 64
\[e^{re} \cdot \cos im\]
↓
\[e^{re} \cdot \cos im\]
e^{re} \cdot \cos im
↓
e^{re} \cdot \cos im
double f(double re, double im) {
        double r40811 = re;
        double r40812 = exp(r40811);
        double r40813 = im;
        double r40814 = cos(r40813);
        double r40815 = r40812 * r40814;
        return r40815;
}
↓
double f(double re, double im) {
        double r40816 = re;
        double r40817 = exp(r40816);
        double r40818 = im;
        double r40819 = cos(r40818);
        double r40820 = r40817 * r40819;
        return r40820;
}

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

    \[\leadsto e^{re} \cdot \cos im\]

Reproduce

herbie shell --seed 2020043 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))