Average Error: 0.0 → 0.0
Time: 9.2s
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 r28799 = re;
        double r28800 = exp(r28799);
        double r28801 = im;
        double r28802 = cos(r28801);
        double r28803 = r28800 * r28802;
        return r28803;
}
↓
double f(double re, double im) {
        double r28804 = re;
        double r28805 = exp(r28804);
        double r28806 = im;
        double r28807 = cos(r28806);
        double r28808 = r28805 * r28807;
        return r28808;
}

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 2019351 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))