You say accidentally like it is a bad thing 
Many things were created by accident, popsicles, even babies (everyone in this forum might have been an accidents tho
)
I meant accidentally as in ''highly improbable''.
some accidents are indeed accidents, like making a baby, but some cosmic accidents are impossible when you try to wrap your head around the currently supported hypothesis.
More so,....they are getting absurder every decade.........if we follow the evolution of our universe back in time we get an infinite density and infinitly strong gravity into a singularity that causes all current equations and models to collaps.
Something is not right here.....or should i say improbable ? 
Back to the drawing board,....or like i do, live by faith ?
I see no problem with how the universe might have been created, it actually make some sense (to me). great amounts of matter gathering around thanks to gravity (wich isn't just a force, but an aspect of the universe/space, a property of it.) creating stars, and consequentially these stars acting like nuclear reactors and creating more elements and when these stars die, the explosion sparce these elements through space, and this process repeats, on and on, like a system, and all that thanks to gravity. Gravity have always been there, we just don't understand it good enough.
All of this does sounds highly improbable, but once you put an actor, it becomes a staged play; who is this actor you ask? It could be God, let's get even more crazy and say that God could have been the singularity from wich the big bang emerged, the universe might be God itself, those equations that you mention are just a way to understand it, to make sense of what we see and feel.
Yes, it all sounds absurd and yes this singularity does defies what we know about the universe, but take in account that, this singularity is/was what created our universe (before the big bang there were no laws, or the ones that existed were waaay different than those we know today), therefore this singularity created our laws.
Of course that this singulariy is absurdly enough to break our laws of physics (it is supposed to do so), so does God, is what created us, but you chose to accept one and deny the other when they are the same thing: A creator, our creator.