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 r86430 = re;
        double r86431 = exp(r86430);
        double r86432 = im;
        double r86433 = cos(r86432);
        double r86434 = r86431 * r86433;
        return r86434;
}
↓
double f(double re, double im) {
        double r86435 = re;
        double r86436 = exp(r86435);
        double r86437 = im;
        double r86438 = cos(r86437);
        double r86439 = r86436 * r86438;
        return r86439;
}

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