In a manner that produces, creates, or generates; in a way that has the power to bring something into being.
From 'generative' plus the adverb suffix '-ly'. This follows the standard English pattern of transforming adjectives into adverbs describing how something is done.
When artists talk about working 'generatively,' they mean their process itself creates the final product—like an AI that generates art rather than copying it—showing how the word describes both the process and the product.
Complete word intelligence in one call. Free tier — 50 lookups/day.