Do you need Docker Toolbox if you've installed Docker for Mac?

It seems like, according to the docs, you don’t need Docker Toolbox if you’ve already got Docker for Mac. However when trying to use docker-machine, it complains that I don’t have virtualbox installed. I’m a bit confused. Which is it?

My goal is completing the docker tutorial, but it seems like I can’t get beyond the part with docker swarm, since docker-machine doesn’t work for me.

> docker-machine --debug create --driver virtualbox myvm1
Docker Machine Version:  0.12.0, build 45c69ad
Found binary path at /usr/local/bin/docker-machine
Launching plugin server for driver virtualbox
Plugin server listening at address 127.0.0.1:55451
() Calling .GetVersion
Using API Version  1
() Calling .SetConfigRaw
() Calling .GetMachineName
(flag-lookup) Calling .GetMachineName
(flag-lookup) Calling .DriverName
(flag-lookup) Calling .GetCreateFlags
Found binary path at /usr/local/bin/docker-machine
Launching plugin server for driver virtualbox
Plugin server listening at address 127.0.0.1:55455
() Calling .GetVersion
Using API Version  1
() Calling .SetConfigRaw
() Calling .GetMachineName
(myvm1) Calling .GetMachineName
(myvm1) Calling .DriverName
(myvm1) Calling .GetCreateFlags
(myvm1) Calling .SetConfigFromFlags
Running pre-create checks...
(myvm1) Calling .PreCreateCheck
(myvm1) DBG | COMMAND: VBoxManage --version
(myvm1) DBG | STDOUT:
(myvm1) DBG | {
(myvm1) DBG | }
(myvm1) DBG | STDERR:
(myvm1) DBG | {
(myvm1) DBG | }
Error with pre-create check: "VBoxManage not found. Make sure VirtualBox is installed and VBoxManage is in the path"
open /Users/iamwil/.docker/machine/machines/myvm1/myvm1/Logs/VBox.log: no such file or directory
notifying bugsnag: [Error with pre-create check: "VBoxManage not found. Make sure VirtualBox is installed and VBoxManage is in the path"]

For anyone else down this road, I found the answer here: