Matlab - Fit two subplots tightly with colorbar and labels

Question

My question is somehow related to this old one (Size of color bar including labels in Matlab R2014b) but the answer provided is not really satisfactory

I want to tightly fit horizontally two subplots with the first one having a colorbar which has its own label.

Here's what it should look like

tight subplots with colorbar

And here's the code used to generate it

h = figure('units','normalized','Position',[0,0,1,1]) ;

ax(1) = subplot(1,2,1);

hc = colorbar('EastOutside');

hc.Position(1) = ax(1).Position(1) + ax(1).Position(3)  ; % xfig + fig width

yl  = ylabel(hc,'$\sqrt{u^2 + v^2}$','interpreter','latex','Units','normalized','FontSize',16) ; % normalized with respect to the colorbar !

ext = yl.Extent ;

ti_lbrt(1,:) = ax(1).TightInset ; % Margins of the previous figure

ax(2) = subplot(1,2,2) ;

ti_lbrt(2,:) = ax(2).TightInset ; % Margins of the second figure


ax(2).Position(1) = ax(1).Position(1) + ax(1).Position(3) ...   lower right corner of previous figure
                    + ti_lbrt(1,3) ... right margin of the previous figure
                    + hc.Position(3) ... width of the colorbar
                    + ti_lbrt(2,1) ... % left margin of the new subplot
                    + ext(3)*hc.Position(3)...  width of the colorbar label
                    + 0.01 ; % Some arbitrary value; 

Why do I have to add that extra 0.01 value to make it not overlap ?

Thanks.