What's the name of this machine?

[erosnicolau]

Hello,
I need to cut some internal gears to high precision and in less than a day / part, and was looking for a machine able to achieve such a feat.
I had been looking for such a design for a long time, until I came across a glimpse of it in a marketing video of the HarmonicDrive:

https://www.youtube.com/watch?v=rrV6_aGBwlc

(This is just a small loop I also put in forward / reverse, just to allow more time for observing the action of the cutting tool.)
It looks like a reciprocating action, progressive, synchronous, multi-teeth, high speed broaching machine - but there HAS to be a name for this kind of machines.
Does anybody have any idea what it's called, so that I may know what to look for?
Thank you so much,
Eros

 

[erosnicolau]

I think I finally found it: it's called a gear shaping machine...

 

[ornerynorsk]

Yes, it is a gear shaper.

It is better to have enough ideas for some of them to be wrong, than to be always right by having no ideas at all.