pan out
Synonym discussion
Sense: phrasal verb/1
All three phrasal verbs describe how a situation develops, but they differ in scope and register. Work out is the most common and neutral choice — it fits both casual ('Let's hope it works out') and semi-formal ('We need a solution that works out for everyone') contexts. Turn out is broader; it can describe the result of a single event ('The weather turned out sunny') as well as long-term plans, while pan out and come off are restricted to plans, projects, and efforts. Come off feels slightly more informal and often implies success after some risk ('The surprise party came off perfectly'). Pan out carries a subtle nuance of 'after a period of doubt or effort' — you would not say 'the day panned out well' for a casual afternoon, but you would say it about a year-long business project. For learners, work out is the safest default; save pan out for contexts where success was uncertain.
Etymology
The phrasal verb 'pan out' comes from the literal practice of gold panning in the 1800s. Miners would swirl water and gravel in a metal pan to separate gold particles from the dirt. If gold appeared, the panning 'panned out' — it produced a result. By the mid-1800s, the expression was already being used metaphorically for any plan or venture that yielded a result, especially a successful one. The phrase is originally American English and spread from the California Gold Rush era.
First known use
1865
1865, in the meaning defined above