Techniques are described for providing visualizations of data with options for a user to manipulate the data visualizations. These data visualization options may provide flexible and rapid comparison of different fragments of data. In one example, a method includes outputting a display of a data visualization in a graphical user interface. The method further includes receiving a first user input selecting a first fragment of the data visualization to freeze. The method further includes receiving a second user input selecting a second fragment of the data visualization to reposition to a new position relative to the frozen fragment of the data visualization. The method further includes outputting a revised display of the data visualization in the graphical user interface that displays the repositioned fragment of the data visualization in the new position relative to the frozen fragment of the data visualization.