Stonecrop Identification

I've got small weeds growing in the back yard and never bothered to find out what they are.
It's time to correct that.

The "Seek" app on my phone says it is

Family: Stonecrop

but cannot resolve it further (i.e., to species).

Somebody mentioned it might be Purslane.

Another weed that looks similar came up as "Thyme-leaved Speedwell".

So here I am asking for assistance. See attached photo.

Assuming it is either Stonecrop or Purslane, how do you tell the difference?

More pics, please? The side view - showing the stems, and how the leaves are connected/ formed & bottoms, base of the plant. All are relevant.

That does not look like the purslane that I have grown.

I can't tell how small the plant is though it looks a lot like Sedum oreganum "Oregon Stonecrop"


source

On second look, I think Anne is right and it's stonecrop.