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 r33223 = re;
        double r33224 = exp(r33223);
        double r33225 = im;
        double r33226 = cos(r33225);
        double r33227 = r33224 * r33226;
        return r33227;
}
↓
double f(double re, double im) {
        double r33228 = re;
        double r33229 = exp(r33228);
        double r33230 = im;
        double r33231 = cos(r33230);
        double r33232 = r33229 * r33231;
        return r33232;
}

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 2020035 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))