A soda-lime-silica based glass composition for manufacturing on a float line that has a faster refining rate due to the introduction of alkali earth oxides such as BaO, ZnO and/or SrO in the amount of from about 1-4% in total. These oxides replace part or all of the MgO in the base glass composition thereby decreasing the overall MgO content in the glass composition to about 2% or less. The glass can realize a lower viscosity at high temperatures so that refining of the melt may occur faster.