Average Error: 0.0 → 0.0
Time: 11.4s
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 r29441 = re;
        double r29442 = exp(r29441);
        double r29443 = im;
        double r29444 = cos(r29443);
        double r29445 = r29442 * r29444;
        return r29445;
}
↓
double f(double re, double im) {
        double r29446 = re;
        double r29447 = exp(r29446);
        double r29448 = im;
        double r29449 = cos(r29448);
        double r29450 = r29447 * r29449;
        return r29450;
}

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 2019212 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))