Average Error: 0.0 → 0.0
Time: 3.2s
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 r8245 = re;
        double r8246 = exp(r8245);
        double r8247 = im;
        double r8248 = cos(r8247);
        double r8249 = r8246 * r8248;
        return r8249;
}
↓
double f(double re, double im) {
        double r8250 = re;
        double r8251 = exp(r8250);
        double r8252 = im;
        double r8253 = cos(r8252);
        double r8254 = r8251 * r8253;
        return r8254;
}

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 2019315 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))