By the way if you find any bugs or something doesn't work the way you expect it please let me know!
I don't know much about web design but for stuff like this I usually see the text box filled with an example input and the resulting output is displayed along with it.
Is there a way to produce <= and >=? lt and gt become < and >, which is not so necessary seeing that < and > work fine, but lte and gte do not become \lte or \gte.
In the product prod example, there is nlogn in the source and logi in the rendering.
Also delta produces \delta instead of \Delta.