Average Error: 0.0 → 0.0
Time: 3.3s
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 r17661 = re;
        double r17662 = exp(r17661);
        double r17663 = im;
        double r17664 = cos(r17663);
        double r17665 = r17662 * r17664;
        return r17665;
}
↓
double f(double re, double im) {
        double r17666 = re;
        double r17667 = exp(r17666);
        double r17668 = im;
        double r17669 = cos(r17668);
        double r17670 = r17667 * r17669;
        return r17670;
}

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. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019196 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))