Average Error: 0.0 → 0.0
Time: 2.2s
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 r81348 = re;
        double r81349 = exp(r81348);
        double r81350 = im;
        double r81351 = cos(r81350);
        double r81352 = r81349 * r81351;
        return r81352;
}
↓
double f(double re, double im) {
        double r81353 = re;
        double r81354 = exp(r81353);
        double r81355 = im;
        double r81356 = cos(r81355);
        double r81357 = r81354 * r81356;
        return r81357;
}

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 2020002 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))