The extension does not apply linebreaks (\\) in its output.
\\
The example u=\frac{-y}{x^2+y^2}\,,\quad \\ v=\frac{x}{x^2+y^2}\,,\quad\text{and}\quad \\ w=0\,. should convert to
u=\frac{-y}{x^2+y^2}\,,\quad \\ v=\frac{x}{x^2+y^2}\,,\quad\text{and}\quad \\ w=0\,.
, but the output is actually .