How to utilize D3 circle pack layout to get diagram similar to this:

(even with more elongated ellipses)?
The key aplication of this diagram style would be easier label placement.
This is jsfiddle that demonstrates circle pack, that I made for other purposes, but I guess it might be useful starting point for anyone wanting to experiment and test potential solution involving ellipses.
Based on @Mariatta 's answer, I got this jsfiddle:

But I was hoping I would preserve parent-children visual connection.
In the second attempt, I got what I want (jsfiddle):

The key was to change cy of the ellipses the same way as ry.