Average Error: 0.0 → 0.0
Time: 8.6s
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 r1440376 = re;
        double r1440377 = exp(r1440376);
        double r1440378 = im;
        double r1440379 = sin(r1440378);
        double r1440380 = r1440377 * r1440379;
        return r1440380;
}
↓
double f(double re, double im) {
        double r1440381 = im;
        double r1440382 = sin(r1440381);
        double r1440383 = re;
        double r1440384 = exp(r1440383);
        double r1440385 = r1440382 * r1440384;
        return r1440385;
}

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 2019162 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))