>>11979096A majority of the lagrangian is boilerplate. The kinetic terms for fermions and the YM term for SU(3) are unnecessary.
Similarly, one usually writes the Lagrangian in the UV, or rather before the SU(2)xU(1) breaks down to U(1). Finally we can rewrite the Higgs potential as an arbitrary scalar function of the fields as not all the parameters are relevant in the UV.
These simplifcations lead to the 3 line version you see on pop-sci merch but it loses only a small amount of information. In fact you only need to provide a suitable vev and form of the Higgs potential to "unzip" the schematic potential down to this ugly thing.