From Longman Dictionary of Contemporary Englishrush something ↔ out phrasal verbBBTto make a new product, book etc available for sale very quickly The new edition was rushed out just before Christmas. → rush→ See Verb table
Examples from the Corpus
rush out• Back on dry land, the rushes are dried out before they're used in the workshop near Wantage.• The weather systems were monumental in extent, whole continents of air rushing madly out of Siberia.• The puncture let air rush in and out, spoiling nature's enclosed vacuum system.• Afterward, while she was rushing back out the door, I managed to grab hold of her and introduce myself.• Members of cast rushed in and out, throwing their arms round him effusively.From Longman Business Dictionaryrush something → out phrasal verb [transitive]COMMERCE to make a new product, book etc available for sale very quicklyWe had to rush out extra copies of the manual. → rush→ See Verb table 