Introduction
This page presents how LoLA do cope efficiently with the LTLCardinality examination face to the other participating tools. In this page, we consider «Known» models.
The next sections will show chart comparing performances in terms of both memory and execution time.The x-axis corresponds to the challenging tool where the y-axes represents LoLA' performances. Thus, points below the diagonal of a chart denote comparisons favorables to the tool while others corresponds to situations where the challenging tool performs better.
You might also find plots out of the range that denote the case were at least one tool could not answer appropriately (error, time-out, could not compute or did not competed).
LoLA versus ITS-Tools
Some statistics are displayed below, based on 1938 runs (969 for LoLA and 969 for ITS-Tools, so there are 969 plots on each of the two charts). Each execution was allowed 1 hour and 16 GByte of memory. Then performance charts comparing LoLA to ITS-Tools are shown (you may click on one graph to enlarge it).
| Statistics on the executions | ||||||
| LoLA | ITS-Tools | Both tools | LoLA | ITS-Tools | ||
| All computed OK | 133 | 3 | 355 | Smallest Memory Footprint | ||
| LoLA = ITS-Tools | — | — | 62 | Times tool wins | 422 | 515 |
| LoLA > ITS-Tools | — | — | 262 | Shortest Execution Time | ||
| LoLA < ITS-Tools | — | — | 122 | Times tool wins | 641 | 296 |
| Do not compete | 0 | 0 | 0 | |||
| Error detected | 1 | 1 | 0 | |||
| Cannot Compute + Time-out | 2 | 132 | 32 | |||
On the chart below, 
denote cases where
the two tools did computed all results without error,
denote cases where the two tool did computed the
same number of values (but not al values in the examination),
denote cases where LoLA
computed more values than ITS-Tools,
denote cases where LoLA
computed less values than ITS-Tools,
denote the cases where at least one tool did not competed,
denote the cases where at least one
tool computed a bad value and 
denote the cases where at least one tool stated it could not compute a result or timed-out.
LoLA wins when points are below the diagonal, ITS-Tools wins when points are above the diagonal.
LoLA versus ITS-Tools.M
Some statistics are displayed below, based on 1938 runs (969 for LoLA and 969 for ITS-Tools.M, so there are 969 plots on each of the two charts). Each execution was allowed 1 hour and 16 GByte of memory. Then performance charts comparing LoLA to ITS-Tools.M are shown (you may click on one graph to enlarge it).
| Statistics on the executions | ||||||
| LoLA | ITS-Tools.M | Both tools | LoLA | ITS-Tools.M | ||
| All computed OK | 219 | 3 | 350 | Smallest Memory Footprint | ||
| LoLA = ITS-Tools.M | — | — | 47 | Times tool wins | 445 | 489 |
| LoLA > ITS-Tools.M | — | — | 201 | Shortest Execution Time | ||
| LoLA < ITS-Tools.M | — | — | 114 | Times tool wins | 737 | 197 |
| Do not compete | 0 | 0 | 0 | |||
| Error detected | 1 | 1 | 0 | |||
| Cannot Compute + Time-out | 2 | 218 | 30 | |||
On the chart below, denote cases where
the two tools did computed all results without error,
denote cases where the two tool did computed the
same number of values (but not al values in the examination),
denote cases where LoLA
computed more values than ITS-Tools.M,
denote cases where LoLA
computed less values than ITS-Tools.M,
denote the cases where at least one tool did not competed,
denote the cases where at least one
tool computed a bad value and
denote the cases where at least one tool stated it could not compute a result or timed-out.
LoLA wins when points are below the diagonal, ITS-Tools.M wins when points are above the diagonal.
LoLA versus enPAC
Some statistics are displayed below, based on 1938 runs (969 for LoLA and 969 for enPAC, so there are 969 plots on each of the two charts). Each execution was allowed 1 hour and 16 GByte of memory. Then performance charts comparing LoLA to enPAC are shown (you may click on one graph to enlarge it).
| Statistics on the executions | ||||||
| LoLA | enPAC | Both tools | LoLA | enPAC | ||
| All computed OK | 906 | 0 | 24 | Smallest Memory Footprint | ||
| LoLA = enPAC | — | — | 1 | Times tool wins | 911 | 23 |
| LoLA > enPAC | — | — | 3 | Shortest Execution Time | ||
| LoLA < enPAC | — | — | 0 | Times tool wins | 923 | 11 |
| Do not compete | 0 | 180 | 0 | |||
| Error detected | 0 | 60 | 1 | |||
| Cannot Compute + Time-out | 29 | 695 | 5 | |||
On the chart below, denote cases where
the two tools did computed all results without error,
denote cases where the two tool did computed the
same number of values (but not al values in the examination),
denote cases where LoLA
computed more values than enPAC,
denote cases where LoLA
computed less values than enPAC,
denote the cases where at least one tool did not competed,
denote the cases where at least one
tool computed a bad value and
denote the cases where at least one tool stated it could not compute a result or timed-out.
LoLA wins when points are below the diagonal, enPAC wins when points are above the diagonal.
LoLA versus 2018-Gold
Some statistics are displayed below, based on 1938 runs (969 for LoLA and 969 for 2018-Gold, so there are 969 plots on each of the two charts). Each execution was allowed 1 hour and 16 GByte of memory. Then performance charts comparing LoLA to 2018-Gold are shown (you may click on one graph to enlarge it).
| Statistics on the executions | ||||||
| LoLA | 2018-Gold | Both tools | LoLA | 2018-Gold | ||
| All computed OK | 12 | 7 | 386 | Smallest Memory Footprint | ||
| LoLA = 2018-Gold | — | — | 237 | Times tool wins | 223 | 718 |
| LoLA > 2018-Gold | — | — | 141 | Shortest Execution Time | ||
| LoLA < 2018-Gold | — | — | 158 | Times tool wins | 316 | 625 |
| Do not compete | 0 | 0 | 0 | |||
| Error detected | 0 | 2 | 1 | |||
| Cannot Compute + Time-out | 7 | 10 | 27 | |||
On the chart below, denote cases where
the two tools did computed all results without error,
denote cases where the two tool did computed the
same number of values (but not al values in the examination),
denote cases where LoLA
computed more values than 2018-Gold,
denote cases where LoLA
computed less values than 2018-Gold,
denote the cases where at least one tool did not competed,
denote the cases where at least one
tool computed a bad value and
denote the cases where at least one tool stated it could not compute a result or timed-out.
LoLA wins when points are below the diagonal, 2018-Gold wins when points are above the diagonal.
