Where to find Graphical Analysis chess software?

I am following WCC and I like Graphical Analysis by Houdini a lot.

I was wondering is there any such software for free? I instaled one chess engine in Arena GUI, but can not find this graphical analysis feature?

You need to use the Engine / Automatic Analysis feature in Arena. You set the parameters for how long you want it to analyze.

Stockfish evidently loved 11.. Bxc3, and evaluated the position as -5.25 for black. For some reason, it didn't see that white could take back with the pawn.  I had it spending 60 seconds per move. I don't understand why that would happen.

I had a barebones score pgn for stockfish to use.  I was sometimes getting cludgy results when I used pgns that had been annotated. Perhaps it has something to do with the position being one that would normally be in book.  I ran the analysis from back to front and front to back and the same thing happened. I restarted the program.  I have a two year old desktop with a 4 core AMD chip and 8 GB of RAM.

Now I see that there is Permanent statistics window in arena, but when I load my game from PGN file, and click on analyze, nothing is drawn in this window.

Most GUIs have such a feature. In WinBoard (XBoard for Linux/Mac) it is in a separate window (the Eval Graph), and it can be toggled between normal and 'blunder' mode (where it shows the difference between the evaluation before and after the move, to let blunders stick out better), by right-clicking it.

To make the graph, start WinBoard with a strong engine (Fruit will do), load the game, step to the start of it (using the << button, if you are not already there), and click Mode->Analyze Game. To increase the analysis time per move, change the auto-stepping time in the Options->Load dialog.