Explore a comprehensive video explanation of Promptbreeder, a self-improving system for automated prompt engineering. Delve into the evolutionary algorithm that enhances both prompts and mutation-prompts over time, using a population-based, diversity-focused approach. Learn how this innovative system outperforms state-of-the-art prompt strategies on arithmetic and commonsense reasoning benchmarks. Discover the intricate process of evolving task-prompts for challenging problems like hate speech classification. Gain insights into the transition from manual to automated prompt engineering, understand Promptbreeder's functionality, and examine its experimental results through a detailed walkthrough of the research paper's appendix.