I believe, both variants are possible:
- friendlier / more friendly; and
- the friendliest / the most friendly.
I'd like to know what is used in every day speech more often and which is more formal.
I believe, both variants are possible:
I'd like to know what is used in every day speech more often and which is more formal.
Though grammatically both friendlier and more friendly are correct. But formally since friendly is a 2- syllable word, more friendly is more acceptable.
However, if we go by figures, Google's survey for published works can help you. https://books.google.com/ngrams/graph?content=friendlier%2Cmore+friendly&year_start=1800&year_end=2008&corpus=6&smoothing=3&share=&direct_url=t1%3B%2Cfriendlier%3B%2Cc0%3B.t1%3B%2Cmore%20friendly%3B%2Cc0
According to this survey, friendlier has become more popular after mid-80s
Those whom grew up speaking or around one of the romantic languages like Spanish will often use the [most] and [more], which are superalative and comparative adverbs, because they don't have the comparative, superlative morphemes: [mas bonita] is [more pretty].
I recently spoke to some linguistics students who said that at a conference, someone presented a paper that claims the superlative/comparative morphemes [-est] and [-er] are becoming less common in language in certain regions in comparison to their adverbial cousins [more] and [most] with the exception of most adjectives that are single syllable and don't end with a vowel, words like [tall] or [nice].
I must note that the adverbial words usually get attached to adjectives that are three or more syllables.