Tout de maime! Not sure what this means, but Poirot always says it in the books.
Are you sure you spelled "maime" correctly? Otherwise it's something like "very of 'maime'", but I can't find maime in my dictionary.
By the way, here's
a great site for translating things into a bunch of languages (it doesn't recognize 'maime' either (it's not always super-accurate), but then Poirot was early 1900's right, maybe the word is out of use?)