Average Error: 0.0 → 0.0
Time: 11.5s
Precision: 64
\[e^{re} \cdot \sin im\]
↓
\[e^{re} \cdot \sin im\]
e^{re} \cdot \sin im
↓
e^{re} \cdot \sin im
double f(double re, double im) {
        double r36929 = re;
        double r36930 = exp(r36929);
        double r36931 = im;
        double r36932 = sin(r36931);
        double r36933 = r36930 * r36932;
        return r36933;
}
↓
double f(double re, double im) {
        double r36934 = re;
        double r36935 = exp(r36934);
        double r36936 = im;
        double r36937 = sin(r36936);
        double r36938 = r36935 * r36937;
        return r36938;
}

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

    \[e^{re} \cdot \sin im\]

  2. Simplified0.0

    \[\leadsto \color{blue}{\sin im \cdot e^{re}}\]

  3. Final simplification0.0

    \[\leadsto e^{re} \cdot \sin im\]

Reproduce

herbie shell --seed 2019194 
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))