from tqdm import tqdm import itertools from enum import Enum, auto from collections import defaultdict from typing import List, Tuple, DefaultDict from extra.optimization.helpers import load_worlds, ast_str_to_ast from tinygrad.ops import BufferOps, LazyOp from tinygrad.helpers import prod from tinygrad.shape.shapetracker import ShapeTracker from tinygrad.shape.symbolic import sym_infer, Node class MovementOps(Enum): RESHAPE = auto(); PERMUTE = auto(); EXPAND = auto(); PAD = auto(); SHRINK = auto(); STRIDE = auto(); AS_STRIDED = auto() # noqa: E702 def apply_mop(st: ShapeTracker, mop_arg: Tuple[MovementOps, Tuple]) -> ShapeTracker: mop, arg = mop_arg if mop == MovementOps.RESHAPE: # shapetracker doesn't allow flattening with -1 but required for MovementOps.RESHAPE if arg == (-1,): return st.reshape((prod(st.views[-1].shape),)) return st.reshape(arg) if mop == MovementOps.PERMUTE: return st.permute(arg) if mop == MovementOps.EXPAND: if len(arg) != len(st.shape): st = st.reshape((1,*st.shape)) return st.expand(arg) if mop == MovementOps.PAD: return st.pad(arg) if mop == MovementOps.SHRINK: return st.shrink(arg) if mop == MovementOps.STRIDE: return st.stride(arg) raise ValueError("invalid mop") def make_scratch_st(st: ShapeTracker) -> ShapeTracker: return ShapeTracker.from_shape((get_buffer_size(st.views[0].shape, st.views[0].strides, st.views[0].offset, st.views[0].mask),)) # ShapeTracker to an equivalent series of MovementOps (https://github.com/tinygrad/tinygrad/pull/2216) def to_movement_ops(st: ShapeTracker) -> List[Tuple[MovementOps, Tuple]]: to_apply:List[Tuple[MovementOps, Tuple]] = [] for i, v in enumerate(st.views): real_shape = tuple(y-x for x,y in v.mask) if v.mask else v.shape offset = v.offset + sum(st*(s-1) for s,st in zip(real_shape, v.strides) if st<0) real_offset = offset + (sum(x*st for (x,_),st in zip(v.mask, v.strides)) if v.mask else 0) real_real_shape = [s for s,st in zip(real_shape, v.strides) if st] strides: List[Node|int] = [abs(st) if isinstance(st,int) else st for st in v.strides if st] buffer_size = sum((s-1)*st for s,st in zip(real_real_shape,strides)) + 1 if i: buffer_size = prod(st.views[i-1].shape) - real_offset def sort_by_strides(shape, strides): return sorted(zip(shape, strides), key=lambda k: (k[1],-k[0]), reverse=True), sorted(range(len(strides)), key=lambda k: (strides[k],-real_real_shape[k]), reverse=True) ordered_shape_strides, order = sort_by_strides(real_real_shape, strides) to_apply.extend([(MovementOps.RESHAPE, (-1,)), (MovementOps.SHRINK, ((real_offset, real_offset+buffer_size),))]) if strides: if (ordered_shape_strides[0][0]*ordered_shape_strides[0][1])-buffer_size>0: to_apply.append((MovementOps.PAD, ((0, (ordered_shape_strides[0][0] * ordered_shape_strides[0][1]) - buffer_size),))) for i, shape_stride in enumerate(ordered_shape_strides): if i0 else buffer_size to_apply.append((MovementOps.EXPAND, (shape_stride[0], *(s[0] for s in ordered_shape_strides[:i]), remaining_buffer))) to_apply.append((MovementOps.PERMUTE, (*range(1,i+1), 0, i+1))) to_apply.append((MovementOps.RESHAPE, (*(s[0] for s in ordered_shape_strides[:i]), shape_stride[0]*remaining_buffer))) to_apply.append((MovementOps.PAD, (*((0,0) for _ in range(i)), (0, shape_stride[0]*shape_stride[1])))) to_apply.append((MovementOps.RESHAPE, (*(s[0] for s in ordered_shape_strides[:i+1]), remaining_buffer+shape_stride[1]))) ordered_shape_strides[i] = (ordered_shape_strides[i][0], remaining_buffer+shape_stride[1]) else: to_apply.append((MovementOps.SHRINK, (*((0, s[0]) for s in ordered_shape_strides[:i]), (0, shape_stride[0]*shape_stride[1])))) to_apply.append((MovementOps.RESHAPE, (*[s[0] for s in ordered_shape_strides[:i+1]], shape_stride[1]))) to_apply.extend([(MovementOps.SHRINK, (*[(0, s[0]) for s in ordered_shape_strides], (0,1))), (MovementOps.RESHAPE, tuple(s[0] for s in ordered_shape_strides))]) if order != list(range(len(order))): to_apply.append((MovementOps.PERMUTE, tuple(order.index(i) for i in range(len(strides))))) to_apply.append((MovementOps.RESHAPE, tuple(s if st else 1 for s,st in zip(real_shape, v.strides)))) if any(i<0 for i in v.strides): to_apply.append((MovementOps.STRIDE, tuple(-1 if st<0 else 1 for st in v.strides))) # then, we apply pre expand pads if v.mask is not None: pre_expand_pads = tuple((x,s-y) if st != 0 else (0,0) for (x,y),s,st in zip(v.mask, v.shape, v.strides)) post_expand_pads = tuple((x,s-y) if st == 0 else (0,0) for (x,y),s,st in zip(v.mask, v.shape, v.strides)) if any(x != (0,0) for x in pre_expand_pads): to_apply.append((MovementOps.PAD, pre_expand_pads)) real_shape = tuple(x+s[0]+s[1] for x,s in zip(real_shape, pre_expand_pads)) # then, we do any expands if any(s != 1 and st == 0 for s,st in zip(real_shape, v.strides)): to_apply.append((MovementOps.EXPAND, real_shape)) # lastly, we apply post expand pads if v.mask is not None and any(x != (0,0) for x in post_expand_pads): to_apply.append((MovementOps.PAD, post_expand_pads)) scratch_st = make_scratch_st(st) ret = [] seen = {} # {shapetracker: list of mops to generate that shapetracker} for mop_arg in to_apply: scratch_st = apply_mop(scratch_st, mop_arg) if scratch_st in seen: ret = seen[scratch_st][:] else: ret.append(mop_arg) seen[scratch_st] = ret[:] return ret def get_real_view(shape, strides, offset, mask): real_shape = tuple(y-x for x,y in mask) if mask else shape offset = offset + sum(st * (s-1) for s,st in zip(real_shape, strides) if st<0) real_offset = offset + (sum(x*st for (x,_),st in zip(mask, strides)) if mask else 0) real_real_shape = [s for s,st in zip(real_shape, strides) if st] strides = [abs(st) if isinstance(st,int) else st for st in strides if st] return real_real_shape, strides, real_offset def get_buffer_size(shape, strides, offset, mask): real_real_shape, strides, real_offset = get_real_view(shape, strides, offset, mask) return real_offset + sum((s-1)*st for s, st in zip(real_real_shape,strides)) + 1 def st_equivalent(st1: ShapeTracker, st2: ShapeTracker): if (idxs1:=st1.expr_idxs()) == (idxs2:=st2.expr_idxs()): return True idx1, valid1 = idxs1 idx2, valid2 = idxs2 # always invalid if valid1 == 0 and valid2 == 0: return True var1 = idx1.vars() | valid1.vars() var2 = idx2.vars() | valid2.vars() # Maybe there are cases that vars are different yet the sts are the same? if var1 != var2: return False # brute force over the vars range vs = list(var1) for i, ranges in enumerate(itertools.product(*[range(v.min, v.max+1) for v in vs])): if i > 1000: print("WARNING: did not search all possible combinations") break var_vals = {k:v for k,v in zip(vs, ranges)} r1 = sym_infer(idx1, var_vals) if sym_infer(valid1, var_vals) else 0 r2 = sym_infer(idx2, var_vals) if sym_infer(valid2, var_vals) else 0 if r1 != r2: return False return True c: DefaultDict[int,int] = defaultdict(int) def test_rebuild(st: ShapeTracker): rebuilt_st = make_scratch_st(st) mops = to_movement_ops(st) c[len(mops)] += 1 for mop_arg in mops: rebuilt_st = apply_mop(rebuilt_st, mop_arg) rebuilt_st = rebuilt_st.simplify() assert st_equivalent(st, rebuilt_st) last_v1 = st.views[-1] last_v2 = rebuilt_st.views[-1] assert last_v1.shape == last_v2.shape, f"{last_v1.shape} != {last_v2.shape}" def test_interpret_ast(ast:LazyOp): if ast.op in BufferOps: test_rebuild(ast.arg.st) else: for src in ast.src: test_interpret_ast(src) if __name__ == "__main__": ast_strs = load_worlds(False, False, True)[:4000] for ast_str in tqdm(ast_strs): for op in ast_str_to_ast(ast_str): test_interpret_ast(op) print(f"avg length of mop = {sum(k*v for k,v in c.items()) / sum(c.values()):.2f}")