US Patent 12007864 Interactive graph generation for computation analysis

A user interface generation system and associated methods are disclosed for displaying nodes of a computer program or computation. The system may determine an ordering and position of elements for display. The ordering can include determining a first ancestor branch of a node associated with a stage with an earliest start time among the start times associated with the stages of a plurality of ancestor branches. This first ancestor branch may be designated as first in the ordering. A second ancestor branch may be determined from among the remaining ancestor branches having an stage with an earliest start time among the start times associated with the remaining stages. This second ancestor branch can be designated as second in the ordering.