Average Error: 0.0 → 0.0
Time: 1.4s
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 r44244 = re;
        double r44245 = exp(r44244);
        double r44246 = im;
        double r44247 = cos(r44246);
        double r44248 = r44245 * r44247;
        return r44248;
}
↓
double f(double re, double im) {
        double r44249 = re;
        double r44250 = exp(r44249);
        double r44251 = im;
        double r44252 = cos(r44251);
        double r44253 = r44250 * r44252;
        return r44253;
}

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 2019354 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))