If Chrome is way faster than IE you may want to check the memory usage in IE to determine if the slowness is caused by memory pressure.
You can check IE memory usage in Task Manager or by using the F12 Developer Tools Memory Tab.
Then you can start a profiling session and take consecutive snapshots to check if memory usage increase excessively.
Please note that overall browser performance is also affected by the memory available on the system. The OS may start swapping to cope with memory pressure caused by programs and this will have a noticeable affect on browser responsiveness.
An increase in memory usage is expected when new tasks are performed and there is nothing to worry about as long as browser memory reduces after such tasks are terminated. If you should observe a steadily increase in the browser memory usage timeline that doesn't reduce even after closing the previously opened tasks you may be in front of a browser memory leak.
In such case please try to reproduce the issue using the sample application installed with the Platform or the Strategic Application in use.