Compiler error messages serve as an initial resource for programmers dealing with compilation errors. However, previous studies indicate that they often lack sufficient targeted information to resolve code issues. Consequently, programmers typically rely on their own research to fix errors. Historically, Stack Overflow has been the primary resource for such information, but recent advances in large language models offer alternatives. This study systematically examines 100 compiler error messages from three sources to determine the most effective approach for programmers encountering compiler errors. Factors considered include Stack Overflow search methods and the impact of model version and prompt phrasing when using large language models. The results reveal that GPT-4 outperforms Stack Overflow in explaining compiler error messages, the effectiveness of adding code snippets to Stack Overflow searches depends on the search method, and results for Stack Overflow differ significantly between Google and StackExchange API searches. Furthermore, GPT-4 surpasses GPT-3.5, with "How to fix" prompts yielding superior outcomes to "What does this error mean" prompts. These results offer valuable guidance for programmers seeking assistance with compiler error messages, underscoring the transformative potential of advanced large language models like GPT-4 in debugging and opening new avenues of exploration for researchers in AI-assisted programming.