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## Appendix A: Details of the signal waveform 

The chirp-time parameters, { τ$_{a}$ } , a = 0 , 1 , 1 . 5 , 2, are given in terms of the masses, m$_{1}$ and m$_{2}$ ≤ m$_{1}$ , of the binary components (we use c = G = 1), 

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## 1. Chirp-time parameters 

where M = m$_{1}$ + m$_{2}$ is the total mass of the compact binary, µ = m$_{1}$m$_{2}$/M is the reduced mass and η = µ/M . 

Since all the chirp time parameters depend on m$_{1}$ and m$_{2}$ , only two of them are independent. It is convenient to choose τ$_{0}$ and τ$_{1}$$_{.}$$_{5}$ as the independent parameters since M and µ can be obtained algebraically from them, 

allowing τ$_{1}$ and τ$_{2}$ to be obtained algebraically from τ$_{0}$ and τ$_{1}$$_{.}$$_{5}$ . 

In Eq. 3, the function ψ ( f ; θ ) is given by, 

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The functions α$_{a}$ , a = 0 , 1 , 1 . 5 , 2 and the f − 7 / 6 factor in the amplitude of the signal (Eq. 3) can be pre-computed and stored, reducing the computational cost of generat- ing waveforms. 

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## 2. The phase function 

