Average Error: 0.0 → 0.0
Time: 3.2s
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 r37515 = re;
        double r37516 = exp(r37515);
        double r37517 = im;
        double r37518 = cos(r37517);
        double r37519 = r37516 * r37518;
        return r37519;
}
↓
double f(double re, double im) {
        double r37520 = re;
        double r37521 = exp(r37520);
        double r37522 = im;
        double r37523 = cos(r37522);
        double r37524 = r37521 * r37523;
        return r37524;
}

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 2020036 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))