Average Error: 0.0 → 0.0
Time: 22.7s
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 r1208506 = re;
        double r1208507 = exp(r1208506);
        double r1208508 = im;
        double r1208509 = sin(r1208508);
        double r1208510 = r1208507 * r1208509;
        return r1208510;
}
↓
double f(double re, double im) {
        double r1208511 = im;
        double r1208512 = sin(r1208511);
        double r1208513 = re;
        double r1208514 = exp(r1208513);
        double r1208515 = r1208512 * r1208514;
        return r1208515;
}

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 2019135 
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))