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

test/test_beginner_freeze.js

@@ -0,0 +1,25 @@
+import { DeepCube, MOVES } from '../src/utils/DeepCube.js';
+import { BeginnerSolver } from '../src/utils/solvers/BeginnerSolver.js';
+
+let cube = new DeepCube();
+const scramble = "R U R' U' R' F R2 U' R' U' R U R' F'"; // T-perm
+scramble.split(' ').forEach(move => {
+  cube = cube.multiply(MOVES[move]);
+});
+
+console.log('Testing BeginnerSolver with T-perm...');
+const solver = new BeginnerSolver(cube);
+
+// Add some logging to the solver's methods to trace execution
+const originalApply = solver.apply.bind(solver);
+solver.apply = (moveStr) => {
+  // console.log('Applying:', moveStr);
+  originalApply(moveStr);
+};
+
+try {
+  const solution = solver.solve();
+  console.log('Solution found:', solution.join(' '));
+} catch (e) {
+  console.error('Error during solve:', e);
+}