Average Error: 0.0 → 0.0
Time: 13.2s
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 r27516 = re;
        double r27517 = exp(r27516);
        double r27518 = im;
        double r27519 = cos(r27518);
        double r27520 = r27517 * r27519;
        return r27520;
}

double f(double re, double im) {
        double r27521 = re;
        double r27522 = exp(r27521);
        double r27523 = im;
        double r27524 = cos(r27523);
        double r27525 = r27522 * r27524;
        return r27525;
}

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 2019325 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))