bud out

verb3

1. •
   To develop buds.

   • For three years we put out pear trees; they have budded out and that is all they have done since. — 1887
2. •
   To erupt or to push out, as or in the manner of a bud.

   • Maples of the Japanese kinds are now budding out, and they make beautiful greenhouse foliage plants. — 1892
3. •
   To produce in the manner of a bud or as though by budding.

   • It is not hard to maintain a flourishing marine aquarium even in an inland town, and a scyphistoma may be kept alive in an aquarium for years, budding out its strobila every spring. — 1897