Probably this should not be a section in itself, but shortened and merged with the introduction and section 5?
Sec 4.1: sounds like the main motivation for the full paper, and would make sense in the introduction, especially the first, second and final paragraph
Sec 4.3: could drop the technical details about the implementation (last paragraph) and the printout of the object
Fig 3: could drop the last row (x8, x9, x10)
I like the description as a "tidy data structure for diagnosing optimisation", maybe you can use something along that line instead of referring to "Global object"?