Average Error: 0.0 → 0.0
Time: 9.8s
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 r1114392 = re;
        double r1114393 = exp(r1114392);
        double r1114394 = im;
        double r1114395 = sin(r1114394);
        double r1114396 = r1114393 * r1114395;
        return r1114396;
}
↓
double f(double re, double im) {
        double r1114397 = im;
        double r1114398 = sin(r1114397);
        double r1114399 = re;
        double r1114400 = exp(r1114399);
        double r1114401 = r1114398 * r1114400;
        return r1114401;
}

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 2019146 
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))