Average Error: 0.0 → 0.0
Time: 10.5s
Precision: 64
\[e^{re} \cdot \sin im\]
\[\sin im \cdot e^{re}\]
double f(double re, double im) {
        double r489540 = re;
        double r489541 = exp(r489540);
        double r489542 = im;
        double r489543 = sin(r489542);
        double r489544 = r489541 * r489543;
        return r489544;
}

double f(double re, double im) {
        double r489545 = im;
        double r489546 = sin(r489545);
        double r489547 = re;
        double r489548 = exp(r489547);
        double r489549 = r489546 * r489548;
        return r489549;
}

e^{re} \cdot \sin im
\sin im \cdot e^{re}

Error

Bits error versus re

Bits error versus im

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 2019101 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))