Average Error: 0.0 → 0.0
Time: 15.2s
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 r2741801 = re;
        double r2741802 = exp(r2741801);
        double r2741803 = im;
        double r2741804 = cos(r2741803);
        double r2741805 = r2741802 * r2741804;
        return r2741805;
}
↓
double f(double re, double im) {
        double r2741806 = re;
        double r2741807 = exp(r2741806);
        double r2741808 = im;
        double r2741809 = cos(r2741808);
        double r2741810 = r2741807 * r2741809;
        return r2741810;
}

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 2019173 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))