doc: the different chunks of the pass manager

[hargoniX]

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[mathlib-lean-pr-testing]

Mathlib CI status (docs):

• ❗ Batteries/Mathlib CI will not be attempted unless your PR branches off the nightly-with-mathlib branch. Try git rebase 57c5efe309336d173bee324b28d7fefdd955f9df --onto 39c26fce1da321b24eaf949d0d7d028ba589e4e1. You can force Mathlib CI using the force-mathlib-ci label. (2026-02-09 20:10:45)

[leanprover-bot]

Reference manual CI status:

• ❗ Reference manual CI will not be attempted unless your PR branches off the nightly-with-manual branch. Try git rebase 57c5efe309336d173bee324b28d7fefdd955f9df --onto 75d7f7eb227bc54dc6ea3d8ead090ee4180debaf. You can force reference manual CI using the force-manual-ci label. (2026-02-09 20:10:47)