diverge

Etymology

From Medieval Latin dīvergō (“bend away from, go in a different direction”), from Latin dī- + vergō (“bend”).

verb

1. (intransitive, literally, of lines or paths) To run apart; to separate; to tend into different directions.
   Two roads diverged in a yellow wood, / And sorry I could not travel both / […] 1916, Robert Frost, “The Road Not Taken” (poem), in Mountain Interval
2. (intransitive, figurative, of interests, opinions, or anything else) To become different; to run apart; to separate; to tend into different directions.
   The brooding, black-clad singer bridged a stark divide that emerged in the recording industry in the 1950s, as post-Elvis pop singers diverged into two camps and audiences aligned themselves with either the sideburned rebels of rock 'n' roll or the cowboy-hatted twangsters of country music. 2012, Christoper Zara, Tortured Artists: From Picasso and Monroe to Warhol and Winehouse, the Twisted Secrets of the World's Most Creative Minds, part 1, chapter 1, 28
   Both stories start out the same way, but they diverge halfway through.
3. (intransitive, literally, of a line or path) To separate, to tend into a different direction (from another line or path).
   The sidewalk runs next to the street for a few miles, then diverges from it and turns north.
   North of Tain …, the line reaches the southern shore of Dornoch Firth. Here, the railway and the A9 trunk road, which have hitherto run close together, diverge. October 20 2021, Paul Stephen, “Leisure and pleasure on the Far North Line”, in RAIL, number 942, page 49
4. (intransitive, figurative, of an interest, opinion, or anything else) To become different, to separate (from another line or path).
   The software is pretty good, except for a few cases where its behavior diverges from user expectations.
5. (intransitive, mathematics, of a sequence, series, or function) Not to converge: to have no limit, or no finite limit.
   The sequence x_n=n² diverges to infinity: that is, it increases without bound.