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 r27501 = re;
        double r27502 = exp(r27501);
        double r27503 = im;
        double r27504 = cos(r27503);
        double r27505 = r27502 * r27504;
        return r27505;
}
↓
double f(double re, double im) {
        double r27506 = re;
        double r27507 = exp(r27506);
        double r27508 = im;
        double r27509 = cos(r27508);
        double r27510 = r27507 * r27509;
        return r27510;
}

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 2019298 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))