fix(solver): replace exponential IDDFS recursion with instantaneous heuristic simulation macros

test/test_moves.js

@@ -0,0 +1,22 @@
+import { DeepCube, MOVES } from '../src/utils/DeepCube.js';
+
+let cube = new DeepCube(); 
+const apply = (str) => {
+  str.split(' ').forEach(m => {
+    cube = cube.multiply(MOVES[m]);
+  });
+};
+
+// We want to verify `R U R'` extracts piece 4 (DFR) to U layer.
+apply("R U R'");
+console.log("Piece 4 is at position:", cube.cp.indexOf(4), "Orientation:", cube.co[cube.cp.indexOf(4)]);
+
+cube = new DeepCube();
+// What if piece 4 is at URF (position 0)? We want to insert it to DFR (position 4).
+// If Yellow is UP, co=0.
+// Let's create a state where DFR is at URF with co=0. 
+// We can do this by applying R U2 R' U' R U R' IN REVERSE to extract it.
+// Reverse of R U2 R' U' R U R' is: R U' R' U R U2 R'
+apply("R U' R' U R U2 R'");
+console.log("Extraction -> Piece 4 position:", cube.cp.indexOf(4), "Orientation:", cube.co[cube.cp.indexOf(4)]);
+