I was also thinking about that same thing goatz. I think we can safely assume the Alkahest gets dissolved back into the salt water, and the remaining material is mostly just sediment and impurities from the dew.
It's harder to say with mine since it contained kelp, it dirtied the precipitant and made it brown. And since it started out white, then turned brown, it looks like the cooking sort of burnt it. So it looks like most of it is organic material.
When I put it on hot silver, most of it smoked and burnt then calcined.