Average Error: 0.0 → 0.0
Time: 21.0s
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 r1532618 = re;
        double r1532619 = exp(r1532618);
        double r1532620 = im;
        double r1532621 = sin(r1532620);
        double r1532622 = r1532619 * r1532621;
        return r1532622;
}
↓
double f(double re, double im) {
        double r1532623 = im;
        double r1532624 = sin(r1532623);
        double r1532625 = re;
        double r1532626 = exp(r1532625);
        double r1532627 = r1532624 * r1532626;
        return r1532627;
}

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 2019144 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))