If you really want to dig into the maths of the tone-mapping curve you need to look at the CTL in the aces-dev GitHub repository. It is a concatenation of the segmented_spline_c5_fwd in the RRT, and the segmented_spline_c9_fwd in the sRGB ODT, followed by the standard sRGB inverse EOTF.
But is that really what you are after?
You can sample the curve as a 1D LUT from Nuke’s OCIOColorSpace node with input set to “Utility - sRGB Texture” and output set to “Output - sRGB”. But the total effect of the ACES pipeline is more complex than just a 1D LUT.
I finally found my solution. Affinity users have the same problem of not being able to properly go from ACES to a publishable format. It put it into a simple script around the ocio and oiio packages on homebrew. The script is currently for single files, if you need sequences, just loop over a folder of files.