  We introduce a framework for benchmarking optimizers according to multiple
criteria over various test functions. Based on a recently introduced union-free
generic depth function for partial orders/rankings, it fully exploits the
ordinal information and allows for incomparability. Our method describes the
distribution of all partial orders/rankings, avoiding the notorious
shortcomings of aggregation. This permits to identify test functions that
produce central or outlying rankings of optimizers and to assess the quality of
benchmarking suites.
