If we designed something, it would most likely be a static thing, which could not change, since we would perceive the design to be a finished product.
Would you consider the operating system software that runs the iPhone "designed"? It doesn't meet your criteria. Does it?
If you look at a typical car, that car's design, involves a lot of copying of previous car designs. In many cases, fudge factors are involved and plenty of design stupidities. Would you claim the Pinto is designed? How about the language COBOL?
What was the last horrible piece of crap you had to deal with?
Intelligence like ours perceives design as a logical thing which makes sense.
Is spaghetti code designed?

Computer genetic algorithms that simulate evolving entities produce solutions that work very quickly, but are unfathomable. They just work.
Well, before being snide, I would think, that we probably could have some understanding why a given genetic algorithm converges at a certain rate. In either case, whether its tinkered with by "trial and error" or speficied wih the criterion fully understood, its still designed. Obviously, the selection function is related to the problem one wants solved. I'm not always sure how one best decides on the mutation function; I haven't coded one in a while.
You also just know, how easy it is to mention how complicated a typical computer system becomes don't you?

I'm being repetitive of course.
We could theoretically improve on our current "design" in many ways. Those ways might be good, genuine enhancements or total mistakes that halt evolution.
Well, we designed crossbows but eventually the crossbow went effectively extinct because the gun was better.
Admittedly, we can reuse aspects of the crossbow in the gun, even after the crossbow has gone extinct <--- A weakness in my positon but
evolution has viral DNA introduced to organisms as well?
If we are designed, then you might ask why are we designed to evolve, as our main function.
Is our main function to evolve or to reproduce?
Clearly, sexual reproduction does allow some aspects that help increase genetic diverisity. In essence, that design allows better traits to have a chance to be propagated.