Just try to apply that to computer code.
DNA is not computer code. It is not analogous to computer code. There isn't enough information to encode the human brain in DNA, so clearly small changes to DNA can have large effects.
It really seems to me, with all this arguing over information theory and so-on, that you just don't understand what the theory of evolution posits. Your basic argument seems to be that evolution is obviously wrong for all these obvious reasons, and those scientists just aren't smart enough to see what seems to obvious to you.
In my rather contrived melody example, you suggest that the method is equivalent to brute-forcing the entire solution space. This is false for numerous reasons. First, the solution space is infinite, as modifications to the melody may add notes as well as change them and/or remove them - so it is theoretically impossible to brute-force, and therefore I can't be brute-forcing it. Secondly, you suggest that because in my example I have human ears choosing the 'best' melody, that I am actually running an experiment in 'intelligent prediction'. This is also false, since in the example the only way of choosing the 'best' melody is via some-ones ears. In real evolution your objection falls away, since the 'filter' through which only the 'better' mutations - or recombinations, or viral insertions, etc - is the environment itself. Thirdly, and this is the most important point, at no point do we try every possibility in the solution space. We create random changes, and only allow those that are in some sense better to survive and thus go-on to reproduce. We don't just create billions of random tunes and choose the best, for that would be absurd. We take the melody, and make - say - ten thousand ever-so-slightly different variations. We the enlist the efforts of humans to determine which is the best - and yes I know that humans are intelligent agents, but please understand that this is an objection to the analogy, not to evolution itself. From our ten-thousands of modified tunes we choose a few hundred of the best, and repeat the process with those.
This is more or less exactly how evolution works for populations of bacteria. There are limited resources, and so only a smaller number of the thousands of slightly modified individuals survive.
In the early days of life, something - and we don't know what, but probably not DNA as we know it today - was busy reproducing in those ancient oceans for literally billions of years. During each one of those billions of years, trillions of individual reproductive units - whatever they might have been - were busy reproducing and changing uncountable numbers of times. So we have billions multiplied by trillions multiplied by maybe hundreds of thousands. This seems like quite a large number to me.
I just don't think you understand how the process is supposed to work. It isn't remotely like brute-forcing. Because there's this environmental filter that weeds out things that don't work. So the things that do work, need only happen *once* and then they spread. It's a feedback loop, wherein only the 'better' outputs are fed back in.
Anyway, look - it's exhausting arguing with you. I just think you don't get it. Let's try to narrow this down to a single question - can a theoretical feedback loop with (very very slight and quite rate) mutations, that selects only outputs that are as least as good as its inputs were and then feeds those output back in, over time produce better individuals? I believe it can, and that it's perfectly obvious that it can. You, as far as I can make out, do not. Or at least you believe that such a process would take too long. Despite all the evidence of far simpler ancient creatures - see the Cambrian Explosion for instance - that existed hundreds of millions of years ago. How did they turn into us, if not via evolution?
And please, can we leave abiogenesis out of it? You must know, as well as I know, that evolution as a theory starts with single-celled organisms and explains how they turned into the flora and fauna we see today - or at least describes the process if not all the so-called intermediate 'steps'. Where those individual cells came from, we do not know - although I've heard some pretty interesting theories.