Average Error: 0.0 → 0.0
Time: 2.8s
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 r81448 = re;
        double r81449 = exp(r81448);
        double r81450 = im;
        double r81451 = cos(r81450);
        double r81452 = r81449 * r81451;
        return r81452;
}
↓
double f(double re, double im) {
        double r81453 = re;
        double r81454 = exp(r81453);
        double r81455 = im;
        double r81456 = cos(r81455);
        double r81457 = r81454 * r81456;
        return r81457;
}

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 2020089 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))