Value prediction is a microarchitectural technique that enhances processor performance by speculatively breaking true data dependencies. It has demonstrated improved performance in both single-threaded and multi-threaded workloads, rendering it an appealing microarchitectural approach. While high-performance value predictors can achieve impressive accuracy, they may also incur significant costs in terms of area, power consumption, and complexity. Therefore, there is a demand for lightweight value prediction techniques capable of striking a favorable balance between performance and overhead. However, designing value predictors with superior performance using limited resources presents an urgent challenge, as inappropriate parameter configurations may result in cost overruns and degraded processor performance. Consequently, this work proposes a design space exploration framework for the state-of-the-art EVES value predictor, aiming to efficiently configure the design parameters of the value predictor within constrained RAM resources. Additionally, the article evaluates the performance of the explored value predictor across a wide range of workloads. The explored value predictors exhibit high efficiency across RAM sizes ranging from 2KB to 16KB while maintaining acceptable computational complexity. Furthermore, the results indicate that the explored value predictor achieves optimal efficiency under the 2KB constraint, with the highest acceleration-to-cost ratio reaching 8.74% per KB, approximately three times greater than that of the current state-of-the-art value predictor.