Your whole phrase would be: "write up the minutes at the end of each phase..."

English:Parliamentary Language
Document Classification (Library Science)
Business and Administrative Documents

minutes s CORRECT,PLUR

minutes of proceedings s CORRECT,PLUR
report of proceedings s CORRECT,SEE RECORD

DEF - The official record of the proceedings at a meeting of a society, committee or other group. s
EX - "The secretary will read the minutes of the previous meeting." s
OBS - Report of proceedings: terminology used in the Department of the Secretary of State. s

If this refers to some kind of test, you might be dealing specifically with a "procès-verbal d'essai"

OR a procès-verbal de mesures =
record of measured values

A record of what has been measured during a test.


procès-verbal d'essai n m
normalisé par un organisme national ou international
Document qui présente les résultats d'essai et toute autre information s'y rapportant.

Notes :
((Titre de la source citée :)) Vocabulaire fondamental de la normalisation, de la certification et de l'agrément des laboratoires d'essais.
((Dans la source citée, le terme est classé sous :)) Agrément de laboratoires d'essais.

Etablir = draw up (another possibility)

Unless your context is specifically related to a meeting, I would go for the something closer to the other suggestions : statement or report for example.