If I understand your analogy correctly, what science in involved directly in software dev other than used directly in already existing models like medicine? (and even this isn't exactly science, as medicine is practice, not analytic discourse). Engineering relies on science, particularly building, vehicles, etc.

I'm thinking things like: do you know what's the latency and throughput of your system, and how it is affected by different conditions? Based on this, people who work on real-time systems (including video games) would be the closest thing to the engineers of the software world.