CFCE; Cross, F2L, CLL and ELL, a LBL where the first two layers are solved simultaneously by forming a cross and then fill in the F2L slots with pairs. The last layer is solved in two looks, first all the corners are done in the CLL step and then, for completion, all the edges in the ELL step.
First, make a cross on any side of the cube. This entails solving all of the edges with a given color to their proper positions.
2. F2L (First Two Layers)
In this step you fill in the slots where the corners of the cross are missing. For each insertion, a corner and an edge are placed simultaneously. There are 41 basic cases for this step, but it can be learned intuitively.
3. CLL (Corners of the Last Layer)
Next, solve all last layer corners in one of 42 algorithms.
4. ELL (Edges of the Last Layer)
Finally, you finish the cube by solving all the last layer edges. There are 29 algorithms.
Origin of the Method
Guus Razoux Schultz used the full method in the 1982 WC finals, where he got second place.