Independently

adv.capable, hopefuleveryday

Meaning 1

Without needing another person to direct or perform the task.

Reach for it when praising self-directed capability rather than isolation

After two guided sessions, each learner could calibrate the tool independently.

everyday
alone
physical solitude is the simple fact
not when Alone can imply isolation and says nothing about competence.
professional
autonomously
a person or system operates under its own control
not when Autonomously is technical and may suggest no human involvement.
formal
self-sufficiently
all necessary resources are supplied from within
not when Self-sufficiency exceeds the independence shown in one task.
formal
unaided
completion without practical help is noteworthy
not when Unaided can glorify refusal of useful accommodation.

Separately from another event, source, or judgment.

Reach for it when showing that a result does not rely on the other item

Two laboratories independently confirmed the mineral's composition.

everyday
separately
two actions occur apart without implying self-direction
not when Separate work may still reflect a shared source or influence.
professional
individually
people or items are considered one at a time
not when Individually contrasts with collectively, not necessarily dependently.

work independently
Students work independently after agreeing on shared safety checks.
independently verified
The result was independently verified before the report was released.
live independently
The new lift enabled both residents to live independently in familiar surroundings.

The definition and the example on this page are written here. The dictionaries above ground which meaning is being described, not the wording.