(mh_mcem = (a = 1.0292461861307223, σ = 0.5188422506428074, ω = 0.5323302070226873), closed_form = (a = 0.9131841937538951, σ = 0.5039160288038839, ω = 0.5672973299638003), builtin_mcem = (a = 1.0714777759110046, σ = 0.50458546245996, ω = 0.5359827297425421))