Average Error: 0.0 → 0.0
Time: 3.9s
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 r57420 = re;
        double r57421 = exp(r57420);
        double r57422 = im;
        double r57423 = sin(r57422);
        double r57424 = r57421 * r57423;
        return r57424;
}
↓
double f(double re, double im) {
        double r57425 = re;
        double r57426 = exp(r57425);
        double r57427 = im;
        double r57428 = sin(r57427);
        double r57429 = r57426 * r57428;
        return r57429;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2019352 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  :precision binary64
  (* (exp re) (sin im)))