Average Error: 0.0 → 0.0
Time: 1.3s
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 r37424 = re;
        double r37425 = exp(r37424);
        double r37426 = im;
        double r37427 = cos(r37426);
        double r37428 = r37425 * r37427;
        return r37428;
}
↓
double f(double re, double im) {
        double r37429 = re;
        double r37430 = exp(r37429);
        double r37431 = im;
        double r37432 = cos(r37431);
        double r37433 = r37430 * r37432;
        return r37433;
}

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 2020046 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))