If you’ve dabbled in the world of AI, specifically with language models like GPT-4, you know the thrill of seeing a model turn a few typed commands into paragraphs of text that seem almost magically conjured. But as any seasoned developer will tell you, there’s an art to crafting the perfect prompt—an art known as prompt engineering. Today, we’re diving into some sophisticated strategies that not only refine this art but transform it into a science.
At PromptOpti, we specialize in optimizing your interaction with GPT models, making sure every token counts, both creatively and cost-effectively. Let’s explore how you can push the boundaries of what you thought was possible with prompt engineering.
1. The Nuance of Natural Language
Imagine you’re asking GPT-4 to generate a historical narrative. You might start with something simple like, “Tell me about the Roman Empire.” But what if you need something more specific, more nuanced? That’s where advanced prompt crafting comes into play.
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)
By specifying the ‘political landscape’ during a particular ‘reign’ and asking for ‘administrative reforms,’ you guide the AI to generate a focused and detailed exploration, vastly different from the broad overview a simpler prompt might yield.
Leveraging Latent Knowledge
GPT-4 is like an iceberg—most of its knowledge is hidden beneath the surface, in what we call its latent knowledge. You can tap into this hidden depth through precise prompting, allowing you to fetch more detailed and specific information.
This prompt assumes a high level of prior knowledge, allowing the model to dive deep into complex explanations that it would otherwise simplify.
Minimizing Token Use for Cost Efficiency
Ensuring prompts are contextually relevant is essential. This means prompts should be designed based on the current state of the conversation or task. Context helps LangChain maintain a coherent and contextually appropriate dialogue, enhancing user experience and model reliability.
This optimized prompt cuts down the token usage almost by half, yet retains the full intent of the question.
Prompt Rewriting and Caching
Prompt rewriting is not just about making prompts shorter; it’s about making them smarter. At www.promptopti.com, we offer tools that rewrite your prompts for clarity and impact, ensuring that you’re always getting the most out of your interactions with AI.
Additionally, prompt caching saves responses to similar prompts, making your system faster and more efficient. This not only improves response time but also reduces costs by avoiding repeated processing of the same questions.
As we wrap up our exploration into the sophisticated world of prompt engineering for GPT-4, remember that the power of a well-crafted prompt goes beyond mere words. It’s about unlocking the full potential of AI to understand and enhance our human intentions. Dive deeper into these strategies, visit us at PromptOpti, and start transforming your textual explorations into profound AI experiences.
want to create an PromptOpti api key and start improve your prompts?