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As the traditional CMOS technology encounters significant scaling challenges, many emerging beyond-CMOS devices have been proposed and developed to augment or even replace CMOS devices. Spintronic devices have received extensive attention due to several unique attributes, including a low operation voltage and nonvolatility. However, spintronic devices are intrinsically slow because of the long switching delay of the magnet. To overcome the drawback, in this article, we propose and develop a deep pipeline method for generic spintronic majority-gate-based circuits. A fast and efficient pipeline buffer insertion methodology is integrated into the industry-standard placement and routing design flow to ensure the correct functionality. The proposed framework can accurately capture 1) the timing of a multiphase clock-gated spintronic circuit and 2) the energy overhead associated with the supply clocking, which is one major overhead of spintronic circuits. Based on the proposed framework, we demonstrate that a spintronic circuit implemented with a deep pipeline can provide over $10\times $ reduction in energy-delay products compared to their traditional CMOS-based counterparts. In the case study, the proposed deep pipeline method is applied to three emerging spintronic devices. Results show that device-level parameters have significant impacts on circuit-level performance and optimal logic depth. [ABSTRACT FROM AUTHOR]