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322 18 Advanced Self-Modification: A Possible Path to Superhuman AGI schema are implicitly variables — they vary from one instance of schema execution to the next — and may be treated as such for supercompilation purposes. The metaprogram executes a program without assuming specific values for its input variables, creating a tree as it goes along. Each time it reaches a statement that can have different results depending on the values of one or more variables, it creates a new node in the tree. This part of the supercompilation algorithm is called driving — a process which, on its own, would create a very large tree, corresponding to a rapidly-executable but unacceptably humongous version of the original program. In essence, driving transforms a program into a huge “decision tree”, wherein each input to the program corresponds to a single path through the tree, from the root to one of the leaves. As a program input travels through the tree, it is acted on by the atomic program step living at each node. When one of the leaves is reached, the pertinent leaf node computes the output value of the program. The other part of supercompilation, configuration analysis, is focused on dynamically reduc- ing the size of the tree created by driving, by recognizing patterns among the nodes of the tree and taking steps like merging nodes together, or deleting redundant subtrees. Configuration analysis transforms the decision tree created by driving into a decision graph, in which the paths taken by different inputs may in some cases begin separately and then merge together. Finally, the graph that the metaprogram creates is translated back into a program, embody- ing the constraints implicit in the nodes of the graph. This program is not likely to look anything like the original program that the metaprogram started with, but it is guaranteed to carry out the same function [NOTE: Give a graphical representation of the decision graph corresponding to the supercompiled binary sear

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