Average Error: 0.0 → 0.0
Time: 2.6s
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 r58274 = re;
        double r58275 = exp(r58274);
        double r58276 = im;
        double r58277 = cos(r58276);
        double r58278 = r58275 * r58277;
        return r58278;
}
↓
double f(double re, double im) {
        double r58279 = re;
        double r58280 = exp(r58279);
        double r58281 = im;
        double r58282 = cos(r58281);
        double r58283 = r58280 * r58282;
        return r58283;
}

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 2019346 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))