From its inception, LEED has used cost as its sole energy-performance metric. All the rating systems stuck with that metric right up until the release of v4.1, which looks at both cost and carbon.
But long before v4.1 came along, the U.S. Green Building Council (USGBC) had already introduced a pilot alternative compliance path, or ACP, called EApc95: Alternative Energy-Performance Metric. This pilot ACP is a different way to meet Optimize Energy Performance and some other requirements under LEED v4.