From a set of 400 \(1024^3\) simulations where the parameters are:

\[\beta_{\mathrm{He}} = [ 0.1, \, 0.3, \, 0.53, \, 0.76, \, 1.0 ]\] \[\beta_{\mathrm{H}} = [ 0.6, \, 0.73, \, 0.86, \, 1.0 ]\] \[\Delta z_{\mathrm{He}} = [-0.1, \, 0.2, \, 0.5, \, 0.8 ]\] \[\Delta z_{\mathrm{H}} = [ -0.6, \, -0.4, \, -0.2, \, 0.0, \, 0.2 ]\]

Fit to the temperature data and the power spectrum from the BOSS data set.

Below is the evolution of the temperature from the fitted posterior distribution of the parameters:

Below is the evolution of the effective optical depth from the fitted posterior distribution of the parameters:

Below is the evolution of the power spectrum from the fitted posterior distribution of the parameters: