perspicaciously
Adverb
Meaning
With the power of seeing or understanding clearly; quick-sightedly; with sharp of sight.
(figuratively) With acute discernment; keenly; with mental perception.
Source: en.wiktionary.orgSynonyms
keenly
wisely
intelligently
cleverly
judiciously
penetratingly
sapiently
shrewdly
astutely
perceptively
discerningly
sagaciously
eruditely
penetratively