Comment by hayley-patton

I'm pretty sure it's mathematically guaranteed that you have to be bad at compressing something. You can't compress data to less than its entropy, so compressing totally random bytes (where entropy = size) would have a high probability of not compressing at all, if no identifiable patterns appear in the data by sheer coincidence. Establishing then that you have incompressible data, the least bad option would be to signal to the decompressor to reproduce the data verbatim, without any compression. The compressor would increase the size of the data by including that signal somehow. Therefore there is always some input for a compressor that causes it to produce a larger output, even by some miniscule amount.