Brilliantly

adv.capable, joyfulwarm

Meaning 1

With exceptional intelligence, skill, or success.

Reach for it when giving strong praise to how an action or performance was carried out

The understudy performed brilliantly after only one full rehearsal.

playful
dazzlingly
the effect is showy and overwhelming
not when restrained excellence is the intended praise
warm
beautifully
grace or emotional effect leads
not when the achievement is smart rather than aesthetically pleasing
professional
expertly
technical command is what made the result strong
not when creative surprise or emotional impact matters more
professional
ingeniously
a clever method produces the success
not when performance skill rather than invention is praised
formal
superbly
accomplished quality deserves emphatic praise
not when intelligence rather than execution is the special feature

With intense light or vivid color.

Reach for it when describing something that shines or appears with striking brightness

The restored tiles shone brilliantly beneath the skylight.

everyday
vividly
color appears strong and clear
not when actual shining rather than color intensity is described
literary
radiantly
warm outward glow is the image
not when hard reflected brightness is meant

work brilliantly
The simple latch can work brilliantly when kept clean.
perform brilliantly
The quartet continued to perform brilliantly despite the cramped stage.
shine brilliantly
Copper panels shine brilliantly after the morning rain.

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