If you stop before the last point, it's called progressive evolution:
Progressive creationism (see for comparison intelligent design) is the pseudoscientific belief that God created new forms of life gradually over a period of hundreds of millions of years.
If you include the last point, it's the more generic theistic evolution:
Theistic evolution, theistic evolutionism, or evolutionary creationism are views that regard religious teachings about God as compatible with modern scientific understanding about biological evolution.
As an aside: although sometimes lumped together with what's called creation science, theistic evolution (as well as progressive evolution) are derided by proponents of both naturalistic evolution and what's known as young-earth creation: