Integrate IPython with prompt toolkit issue

I am trying to embed IPython into my app using prompt toolkit.
I'd like to put IPython shell bottom of HSplit Container.

Here's an example app layout.

--------------------------------------------------
(TextArea, multiline, scroll)
Log1
Log2
Log3
--------------------------------------------------
(IPython Shell, multiline, scroll)
In [1] : 1 + 1
Out [1] : 2
--------------------------------------------------

But I have hard time to do it.

First, IPython uses prompt.
It calls Application.run() internally and uses its own layout. So it is difficult to use it with my prompt toolkit application.

Second IPython calls prompt repeatedly.
I manipulated shell.pt_app.layout.container. So the layout could be changed. But after typing enter key, the whole layout was drawn again. The reason is that prompt redraws whole containers and is always called after completing input.

Could you advise for it?

Start by tracing the prompt toolkit Application.run() flow and the repeated prompt calls described in the issue, including changes to shell.pt_app.layout.container. Determine how the IPython shell can remain at the bottom of the HSplit layout without replacing the surrounding containers after Enter; done means the example layout preserves its log area and embedded shell across input redraws.