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 r48158 = re;
        double r48159 = exp(r48158);
        double r48160 = im;
        double r48161 = cos(r48160);
        double r48162 = r48159 * r48161;
        return r48162;
}
↓
double f(double re, double im) {
        double r48163 = re;
        double r48164 = exp(r48163);
        double r48165 = im;
        double r48166 = cos(r48165);
        double r48167 = r48164 * r48166;
        return r48167;
}

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)))