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We study the performance of various analytical frequency-domain templates fordetection and parameter estimation of gravitational waves from spin-precessing,quasi-circular, compact binary inspirals. We begin by assessing the extent towhich non-spinning, spin-aligned, and the new (analytical, frequency-domain,small-spin) double-precessing frequency-domain templates can be used to detectsignals from such systems. For effective, dimensionless spin values above$0.2$, the use of non-spinning or spin-aligned templates for detection purposeswill result in a loss of up to $30%$ of all events, while in the case of thedouble-precessing model, this never exceeds $6%$. Moreover, even for signalsfrom systems with small spins, non-spinning and spin-aligned templatesintroduce large biases in the extracted masses and spins. The use of a modelthat encodes spin-induced precession effects, such as the double-precessingmodel, improves the mass and spin extraction by up to an order of magnitude.The additional information encoded in the spin-orbit interaction is invaluableif one wishes to extract the maximum amount of information from gravitationalwave signals.

Detection and Parameter Estimation of Gravitational Waves from Compact Binary Inspirals with Analytical Double-Precessing Templates