Average Error: 0.0 → 0.0
Time: 2.7s
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 r39247 = re;
        double r39248 = exp(r39247);
        double r39249 = im;
        double r39250 = cos(r39249);
        double r39251 = r39248 * r39250;
        return r39251;
}
↓
double f(double re, double im) {
        double r39252 = re;
        double r39253 = exp(r39252);
        double r39254 = im;
        double r39255 = cos(r39254);
        double r39256 = r39253 * r39255;
        return r39256;
}

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 2020056 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))