complex syrup is just regular syrup with an imaginary component

complex (carbohydrate) syrup: mashed potatoes.

Avril Lavigne out here making the syrups all complicated

Obligatory serious answer to silly question: there is an alternative called gomme syrup, which uses gum arabic as a thickener. Drinks made with it are supposed to have a richer mouthfeel, but it's a pain in the butt to make and goes bad relatively quickly without preservatives, so I've given up on trying to keep it around. I think that qualifies as a complex syrup.

Tastes awful but it’s got codeine in it

If we're saying complex as in flavor, some maple syrups are multilayered and delicious.

isn't that just a flavored syrup

yes I ordered it using my stupidphone, and to be honest I thought it was pretty whelming

ok its no longer called simple syrup. it will now be known as peasant syrup.

and we are looking down our noses at that disgusting peasant syrup.

complex syrup 5eva.

garlic syrup

That'd be dextro

\S^{imple} \times \S^{imple} = \C
Calculating syrup residue at infinity

Complex syrup would be like... what, coca-cola concentrate?