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Every algorithm is written in the same short code: a letter for each face, an apostrophe to turn it the other way, a 2 to turn it twice. Tap any move to watch what it does.
A letter alone is that face turned a quarter clockwise — clockwise as you look straight at that face.
An apostrophe (said "prime") is the same face the other way. A 2 is two quarter turns — the direction doesn't matter.
Two layers at once: the face and the middle layer next to it. Written lowercase, or with a w.
The slice between two faces, turned on its own.
x, y and z rotate the cube in your hands without turning any layer. They are free in a solve — only turns count.