excogitate

Verb

• come up with (an idea, plan, explanation, theory, or principle) after a mental effort
  • "excogitate a way to measure the speed of light"
• reflect deeply on a subject
  • "The scientist must stop to observe and start to excogitate"
• To think over something carefully; to consider fully; cogitate.
• To reach as a conclusion through reason or careful thought.

Examples

• After many years of study, he excogitated a solution.

Synonyms

chew over, contemplate, contrive, devise, forge, formulate, invent, meditate, mull, mull over, muse, ponder, reflect, ruminate, speculate, think over