Left panel: correlation length of the Ωm Markov chain. The chain has a correlation length of the order of 25 samples. The dashed-dotted lines depict the longer correlation length without the rotation of the cosmological parameter space, by nearly a factor of five. Right panel: burn-in phase for both scenarios, illustrated via the deviation from the reference cosmology. The dashed-dotted lines depict the MCMC chains obtained without rotating the parameter space, where the burn-in phase consequently requires around five times more iterations. The longer correlation length and burn-in phase highlight the loss in efficiency compared to the more sophisticated sampler.
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