Average Error: 0.0 → 0.0
Time: 7.6s
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 r1676388 = re;
        double r1676389 = exp(r1676388);
        double r1676390 = im;
        double r1676391 = sin(r1676390);
        double r1676392 = r1676389 * r1676391;
        return r1676392;
}
↓
double f(double re, double im) {
        double r1676393 = im;
        double r1676394 = sin(r1676393);
        double r1676395 = re;
        double r1676396 = exp(r1676395);
        double r1676397 = r1676394 * r1676396;
        return r1676397;
}

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 2019165 
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))