Average Error: 0.0 → 0.0
Time: 8.2s
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 r40944 = re;
        double r40945 = exp(r40944);
        double r40946 = im;
        double r40947 = cos(r40946);
        double r40948 = r40945 * r40947;
        return r40948;
}
↓
double f(double re, double im) {
        double r40949 = re;
        double r40950 = exp(r40949);
        double r40951 = im;
        double r40952 = cos(r40951);
        double r40953 = r40950 * r40952;
        return r40953;
}

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 2019198 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))