largely vs to all intents and purposes

largely

adv

For the most part; mainly or chiefly.
In a widespread or large manner.
On a large scale; amply.

to all intents and purposes

prep

For every functional purpose; in every practical sense; in every important respect; practically speaking.

How often have the words largely and to all intents and purposes occurred in a corpus of books? (source: Google Ngram Viewer )