Joint posterior distributions from the free-chemistry retrieval analyses of the case study Y1 dwarf WISEPAJ1541-22 using a gray cloud model. The vertical dashed lines within the histograms indicate the median parameter values and their 1σ uncertainties. Accompanying the montage of joint posterior distributions is the retrieved median temperature-pressure profile along with its associated 1σ uncertainties. The adiabatic profile (dashed black line) is indicated for comparison.