If you find it, post it!
There are no more optical steps in motion picture cinematography. Everything is scanned from the start although Chris Nolan is a mainstream exception.
Even if some purely analog show prints are made, these days they will be few enough (<20) to warrant a direct contact print after the film has been scanned and edited and all the rest.
Ilford ID6 Developer
Metol 25 grams
Sodium sulphite (crystalline)700 grams
Sodium bisulphite 400 grams (see note below)
Hydroquinone 135 grams
Pyrogallic acid 25 grams
Sodium carbonate (crystalline) 2000 grams
Potassium bromide 2 grams
Water to make 40 litres
The bisulphite can be replaced with an equal weight of potassium metabisulpite.
ID6R replenisher
Metol 12.5 grams
Sodium sulphite (crystalline) 200 grams
Sodium bisulphite 100 grams
Hydroquinone 37.5 grams
Sodium carbonate (crystalline)600 grams.
Water to make 4 litres.
Pyrogallol is not mentioned in the replenisher.
I don't know the working capacity.
Sorry if this is not suitable for your needs.
At least you may be able to use the formula as a starting point to create your own developer.