Think of someone who does not want to guess, so they set something up, try it once, and watch what happens. That is the whole picture: do it, then see. In a laboratory this is an experiment and the word describes the method. Away from the laboratory the same picture shrinks down to a school trying a new for one term, or to a hand pressing a sore ankle to find out whether it still hurts. Every use keeps the same two beats — a try, and an answer that only comes from having tried.
From the word’s history
Wiktionary derives the word as experimental + -ly, on the noun experiment. So the adverb has never meant anything but in the manner of an experiment; the differences between its uses are differences of scale, not of meaning.
Wiktionary 把這個字拆成 experimental + -ly，底下是名詞 experiment。所以這個副詞從頭到尾只有一個意思：照實驗的方式去做。三個用法之間的差別，是規模大小的差別，不是意思換掉了。
Wiktionary, entry 'experimentally' (kaikki extract, source_ref kaikki:3f6f69a190036ae4:882643151): 'From experimental + -ly.'
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