"Cursory examination" refers to a quick and brief look or overview of something, without going into great detail or analyzing it thoroughly. Full definition
It is quite apparent, on even cursory examination, that economic theory rests on metaphysical assumptions. (religion-online.org)
Why come up with a complex story that falls apart on cursory examination? (effectivecoverage.com)
Even the most cursory examination of neonatal and maternal death rates shows that these deaths are due to a LACK of technological interventions, nor a surfeit. (skepticalob.com)