Average Error: 0.0 → 0.0
Time: 14.3s
Precision: 64
\[e^{re} \cdot \sin im\]
↓
\[\sin im \cdot e^{re}\]
e^{re} \cdot \sin im
↓
\sin im \cdot e^{re}
double f(double re, double im) {
        double r1655872 = re;
        double r1655873 = exp(r1655872);
        double r1655874 = im;
        double r1655875 = sin(r1655874);
        double r1655876 = r1655873 * r1655875;
        return r1655876;
}
↓
double f(double re, double im) {
        double r1655877 = im;
        double r1655878 = sin(r1655877);
        double r1655879 = re;
        double r1655880 = exp(r1655879);
        double r1655881 = r1655878 * r1655880;
        return r1655881;
}

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

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

Reproduce

herbie shell --seed 2019132 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))