zero_optimizer.py 50.1 KB
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# Copyright (c) 2020 PaddlePaddle Authors. All Rights Reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.

from .common import OpRole, OP_ROLE_KEY, OP_ROLE_VAR_KEY, CollectiveHelper
from .common import is_update_op, is_loss_grad_op, is_backward_op, is_optimizer_op
from .meta_optimizer_base import MetaOptimizerBase
from paddle.fluid import unique_name, core
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from paddle.distributed.fleet.meta_optimizers.zero.decorator import decorate as amp_decorate
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import paddle.fluid as fluid

import math
import re

__all__ = ["ZeroOptimizer"]


def _pretty_op_desc_(op_desc, prefix):
    out_s = "%s\tname:[%s]\n%s    \tinputs:[%s]\n%s    \toutputs:[%s]" % \
            (prefix + "_op", str(op_desc.type()), prefix + "_input", " ".join(op_desc.input_arg_names()),
             prefix + "_output", " ".join(op_desc.output_arg_names()))
    return out_s


class SubProgram(object):
    def __init__(self, block):
        self._block = block
        self._allreduce_vars = []
        # sub program start idx
        self._start_idx = -1
        # sub program end idx
        self._end_idx = -1
        # param name to broadcast name
        self._param2broadcast = {}
        self._broadcast_vars = []
        # cast op pairs, fp16 name (str) -> fp32 name (str)
        self._cast_ops = {}
        # fill constant vars
        self._fill_constant_vars = []
        # parameter mems
        self._param_mem = 0.0


class ProgramDeps(object):
    def __init__(self, block, start_vars, end_vars):
        self._block = block
        # vars where to start to build the deps
        self._start_vars = start_vars
        # vars where to stop to build the deps
        self._end_vars = end_vars
        # var name -> op idxs which depends on this var
        self._var_deps = {}
        # sub block deps which is a subset of this topo
        self._sub_block_deps = {}
        # var name -> op idxs which generate var
        self._var_to_generate_op = {}
        self._should_removed_var = set()
        self._father_block_deps = None
        self._build_deps()

    def get_sub_block_deps(self, idx):
        if idx in self._sub_block_deps:
            return self._sub_block_deps[idx]
        else:
            return None

    def get_var_deps(self, var_name):
        if var_name in self._var_deps:
            return self._var_deps[var_name]
        else:
            return None

    def _build_deps(self, ):
        for var_name in self._start_vars:
            self._var_deps[var_name] = [-1]
            self._var_to_generate_op[var_name] = [-1]

        for idx, op in enumerate(self._block.ops):
            if op.type in [
                    "c_allreduce_sum", "c_sync_comm_stream",
                    "c_calc_comm_stream"
            ]:
                continue
            input_vars = op.desc.input_arg_names()
            output_vars = op.desc.output_arg_names()
            deps_reduce = False
            for input_name in input_vars:
                if input_name in self._var_deps:
                    deps_reduce = True
            if deps_reduce:
                for input_name in input_vars:
                    if input_name in self._var_deps:
                        self._var_deps[input_name].append(idx)
                for output_name in output_vars:
                    self._var_deps[output_name] = []
                    if output_name not in self._var_to_generate_op:
                        self._var_to_generate_op[output_name] = [idx]
                    else:
                        self._var_to_generate_op[output_name].append(idx)
                if op.type == "conditional_block":
                    # subblock
                    assert (op.desc.has_attr("sub_block"))
                    subblock_idx = op.desc.attr("sub_block").id
                    subblock_deps = ProgramDeps(
                        self._block.program.block(subblock_idx),
                        op.desc.input_arg_names(), op.desc.output_arg_names())
                    self._sub_block_deps[subblock_idx] = subblock_deps
                    subblock_deps._father_block_deps = self

    def crop_input_var_from_op(self, op_idx, var_name):
        if var_name in self._var_deps:
            # update var -> dep_var_op
            if self._var_deps[var_name] != []:
                assert (op_idx in self._var_deps[var_name])
                self._var_deps[var_name].remove(op_idx)
            # update _should_removed_var
            if var_name in self._start_vars:
                self._should_removed_var.discard(var_name)
            elif self._var_deps[var_name] == []:  # no more deps of this var
                self._should_removed_var.add(var_name)
            elif self._var_to_generate_op[var_name][-1] >= self._var_deps[
                    var_name][-1]:
                # there are circle in the graph
                self._should_removed_var.add(var_name)
            else:  # input_name should not be deleted
                self._should_removed_var.discard(var_name)

    def crop_output_var_from_op(self, op_idx, var_name):
        if var_name in self._var_to_generate_op:
            assert (op_idx in self._var_to_generate_op[var_name])
            self._var_to_generate_op[var_name].remove(op_idx)
        if self._block.has_var(var_name) and self._var_to_generate_op[
                var_name] == []:
            print("main_block remove var {}".format(var_name))
            self._block._remove_var(var_name)

    def remove_op(self, op_idx):
        # update deps
        op = self._block.ops[op_idx]
        print("main_block remove op {}".format(op.type))
        for input_name in op.desc.input_arg_names():
            self.crop_input_var_from_op(op_idx, input_name)
        for output_name in op.desc.output_arg_names():
            self.crop_output_var_from_op(op_idx, output_name)
        self._block._remove_op(op_idx)

    def should_remove_op(self, op_idx):
        op = self._block.ops[op_idx]
        for output_name in op.desc.output_arg_names():
            if output_name not in self._should_removed_var:
                return False
        return True


class ZeroOptimizer(MetaOptimizerBase):
    def __init__(self, optimizer):
        super(ZeroOptimizer, self).__init__(optimizer)
        self.inner_opt = optimizer
        self._main_program = None
        self._startup_program = None
        # we do not allow meta optimizer to be inner optimizer currently
        self.meta_optimizers_white_list = []
        # params and fp16 params is for broadcast
        self._params = set([])
        self._fp16_params = set([])
        # fp16 to fp32
        self._fp16_to_params = {}
        self._broadcast_vars = set([])
        # _param(str) -> device_id(int) 
        self._param2device = {}
        # varname(str) -> param(Variable)
        # reduced grads to param name
        self._reduced_grads_to_param = {}
        # self._nrings(int) is for nccl communicate
        self._nrings = 3
        # self._sub_progs
        self._sub_progs = []
        self._fuse_broadcast_MB_bytes = 64
        self._dtype_to_size = {
            core.VarDesc.VarType.FP16: 2,
            core.VarDesc.VarType.FP32: 4,
            core.VarDesc.VarType.FP64: 8,
            core.VarDesc.VarType.INT16: 2,
            core.VarDesc.VarType.INT32: 4,
            core.VarDesc.VarType.INT64: 8,
            core.VarDesc.VarType.BOOL: 1,
            core.VarDesc.VarType.UINT8: 1,
        }
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        self._collective_helper = None
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    def _get_var_size(self, param):
        """
        input:
            - param: var
        return:
            var size in Bytes
        """
        assert -1 not in param.shape
        return reduce(
            lambda x, y: x * y,
            param.shape) * self._dtype_to_size[param.dtype] / 1024.0 / 1024.0

    def _can_apply(self):
        return self.user_defined_strategy.zero

    def _disable_strategy(self, dist_strategy):
        dist_strategy.zero = False

    def _is_fp16_cast_op(self, block, op):
        if op.type != "cast":
            return False
        if is_optimizer_op(op):
            return False
        assert (len(op.desc.input_arg_names()) == 1)
        assert (len(op.desc.output_arg_names()) == 1)
        input_name, output_name = op.desc.input_arg_names()[
            0], op.desc.output_arg_names()[0]
        if input_name not in self._params:
            return False
        input_var = block.var(input_name)
        output_var = block.var(output_name)
        if input_var.dtype != core.VarDesc.VarType.FP32 or \
            output_var.dtype != core.VarDesc.VarType.FP16:
            return False
        return True

    def _split_params(self, params):
        param2device = {}
        total_param_mem = 0.0
        param2mem = []
        for param in params:
            mem = self._get_var_size(param)
            total_param_mem += mem
            param2mem.append((param.name, mem))
            # print(param.name, mem)
        # print("total_param_mem: ", total_param_mem)
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        device_num = self.role_maker._worker_num()
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        # print("device_num: ", device_num)
        device2params = {x: [] for x in range(device_num)}
        device_idx = 0
        mem_accu = 0.0
        for param_name, mem in param2mem:
            if mem_accu > total_param_mem * 1.0 * (device_idx + 1) / device_num:
                device_idx += 1
            device2params[device_idx].append(param_name)
            param2device[param_name] = device_idx
            mem_accu += mem
        # for debug
        print(device2params)
        return param2device

    def _is_opti_var(self, var_name):
        if var_name in self._params:
            return True
        for suffix in [
                "_moment1_0", "_moment2_0", "_beta1_pow_acc_0",
                "_beta2_pow_acc_0"
        ]:
            base_name = re.sub(suffix, '', var_name)
            if base_name in self._params:
                return True
        return False

    def _var_device_id(self, var_name):
        if not self._is_opti_var(var_name):
            return -1
        if var_name in self._param2device:
            return self._param2device[var_name]
        for suffix in [
                "_moment1_0", "_moment2_0", "_beta1_pow_acc_0",
                "_beta2_pow_acc_0"
        ]:
            base_name = re.sub(suffix, '', var_name)
            if base_name in self._param2device:
                return self._param2device[base_name]
        return -1

    def _insert_scale_loss_grad_ops(self, block, scale=1.0):
        '''
        In order to keep the learning rate consistent in different numbers of
        training workers, we scale the loss grad by the number of workers
        '''
        for idx, op in reversed(list(enumerate(block.ops))):
            if is_loss_grad_op(op):
                loss_grad_var = block.vars[op.output_arg_names[0]]
                block._insert_op(
                    idx + 1,
                    type='scale',
                    inputs={'X': loss_grad_var},
                    outputs={'Out': loss_grad_var},
                    attrs={'scale': scale,
                           OP_ROLE_KEY: OpRole.Backward})

    def _split_program(self, block):
        for op_idx, op in reversed(list(enumerate(block.ops))):
            if int(op.attr('op_role')) != int(OpRole.Optimize):
                last_backward_op_idx = op_idx + 1
                break
        sub_prog = SubProgram(block)
        sub_prog._end_idx = last_backward_op_idx
        for op_idx in reversed(range(last_backward_op_idx)):
            op = block.ops[op_idx]
            assert (int(op.attr('op_role')) != int(OpRole.Optimize))
            if sub_prog._param_mem >= self._fuse_broadcast_MB_bytes:
                sub_prog._start_idx = op_idx + 1
                self._sub_progs.insert(0, sub_prog)
                sub_prog = SubProgram(block)
                sub_prog._end_idx = op_idx + 1

            # find broadcast vars
            for input_name in op.desc.input_arg_names():
                if input_name not in self._broadcast_vars:
                    continue
                root_device = self._param2device[input_name]
                if input_name in sub_prog._param2broadcast:
                    # skip broadcast because it reuse the old broadcast var
                    broadcast_name = sub_prog._param2broadcast[input_name]
                    if input_name != broadcast_name:
                        op._rename_input(input_name, broadcast_name)
                    continue
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                if root_device == self.role_maker._worker_index():
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                    broadcast_var_name = input_name
                else:
                    broadcast_var_name = unique_name.generate(input_name +
                                                              "@BroadCast")
                    sub_prog._fill_constant_vars.append(broadcast_var_name)
                sub_prog._param2broadcast[input_name] = broadcast_var_name
                sub_prog._broadcast_vars.append(
                    (broadcast_var_name, self._param2device[input_name]))
                sub_prog._param_mem += self._get_var_size(
                    self._main_program.global_block().var(input_name))

            # find reduce vars
            if is_backward_op(op) and \
                    OP_ROLE_VAR_KEY in op.attr_names:
                op_role_var = op.all_attrs()[OP_ROLE_VAR_KEY]
                if len(op_role_var) != 0:
                    assert len(op_role_var) % 2 == 0
                    for i in range(0, len(op_role_var), 2):
                        param, reduced_grad = op_role_var[i], op_role_var[i + 1]
                        sub_prog._allreduce_vars.append(reduced_grad)
                        assert (
                            reduced_grad not in self._reduced_grads_to_param)
                        self._reduced_grads_to_param[reduced_grad] = param

            # find cast op
            if self._is_fp16_cast_op(block, op):
                fp32_param = op.desc.input_arg_names()[0]
                fp16_param = op.desc.output_arg_names()[0]
                if self._param2device[
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                        fp32_param] == self.role_maker._worker_index():
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                    sub_prog._cast_ops[fp16_param] = fp32_param

        if sub_prog._param_mem > 0:
            sub_prog._start_idx = 0
            self._sub_progs.insert(0, sub_prog)
        return

    def _is_gradient_clip_sum_op(self, op):
        return op.type == "sum" and op.desc.has_attr("op_namescope") \
            and op.desc.attr("op_namescope").startswith("/gradient_clip_@CLIP")

    def _is_amp_sum_op(self, op):
        return op.type == "sum" and op.desc.has_attr("op_namescope") \
            and op.desc.attr("op_namescope").startswith("/mixed_precision")

    def _is_amp_subblock(self, op):
        return op.type == "conditional_block" and op.desc.has_attr("op_namescope") \
            and op.desc.attr("op_namescope").startswith("/mixed_precision")

    def _prune_main_program(self, block):
        """
        calculate deps from allredce op to optimize op,
        remove ops and vars not needed in this worker
        """
        # build prog deps
        reduced_grads = []
        var_to_reduce_var = {}
        for idx, op in enumerate(block.ops):
            input_names = op.desc.input_arg_names()
            output_names = op.desc.output_arg_names()
            if op.type == "c_allreduce_sum":
                assert (len(output_names) == 1)
                output_name = output_names[0]
                reduced_grads.append(output_name)
                var_to_reduce_var[output_name] = output_name
            else:
                non_persistable_input = [
                    x for x in input_names if not block.var(x).persistable
                ]
                if len(non_persistable_input) == 1 and len(
                        output_names) == 1 and non_persistable_input[
                            0] in var_to_reduce_var:
                    var_to_reduce_var[output_names[0]] = var_to_reduce_var[
                        non_persistable_input[0]]

        params = []
        for var_name, _ in block.vars.items():
            if self._is_opti_var(var_name) and \
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                self._var_device_id(var_name) != self.role_maker._worker_index():
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                params.append(var_name)
        program_deps = ProgramDeps(block, reduced_grads, params)

        # Init
        for var_name in program_deps._end_vars:
            program_deps._should_removed_var.add(var_name)

        # Prune
        for idx, op in reversed(list(enumerate(block.ops))):
            if op.type in [
                    "c_allreduce_sum", "c_sync_comm_stream",
                    "c_calc_comm_stream", "c_gen_nccl_id", "c_comm_init"
            ]:
                pass
            elif self._is_gradient_clip_sum_op(op) or self._is_amp_sum_op(op):
                reversed_input_vars = []
                for input_name in op.desc.input_arg_names():
                    assert (input_name in var_to_reduce_var)
                    reduce_var = var_to_reduce_var[input_name]
                    param_name = self._reduced_grads_to_param[reduce_var]
                    if self._param2device[
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                            param_name] != self.role_maker._worker_index():
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                        program_deps.crop_input_var_from_op(idx, input_name)
                    else:
                        reversed_input_vars.append(input_name)
                op.desc.set_input("X", reversed_input_vars)
                assert (len(op.desc.output_arg_names()) == 1)
                sum_res = op.desc.output_arg_names()[0]
                block._insert_op(
                    idx + 1,
                    type='c_sync_comm_stream',
                    inputs={'X': sum_res},
                    outputs={'Out': sum_res},
                    attrs={'ring_id': 0,
                           OP_ROLE_KEY: OpRole.Optimize})
                block._insert_op(
                    idx + 1,
                    type='c_allreduce_sum',
                    inputs={'X': sum_res},
                    outputs={'Out': sum_res},
                    attrs={'ring_id': 0,
                           OP_ROLE_KEY: OpRole.Optimize})
                block._insert_op(
                    idx + 1,
                    type='c_sync_calc_stream',
                    inputs={'X': sum_res},
                    outputs={'Out': sum_res},
                    attrs={OP_ROLE_KEY: OpRole.Optimize})
            elif op.type == "conditional_block":
                assert (op.desc.has_attr("sub_block"))
                subblock_idx = op.desc.attr("sub_block").id
                subblock_deps = program_deps.get_sub_block_deps(subblock_idx)
                # only prune amp subblock
                if subblock_deps is None or not self._is_amp_subblock(op):
                    continue
                # init
                reversed_output_vars = []
                for output_name in op.desc.output("Out"):
                    if output_name in program_deps._should_removed_var:
                        subblock_deps._should_removed_var.add(output_name)
                        program_deps.crop_output_var_from_op(idx, output_name)
                    else:
                        reversed_output_vars.append(output_name)
                # prune
                for sub_op_idx, _ in reversed(
                        list(enumerate(subblock_deps._block.ops))):
                    if subblock_deps.should_remove_op(sub_op_idx):
                        subblock_deps.remove_op(sub_op_idx)
                reversed_input_vars = []
                for input_name in op.desc.input('Input'):
                    if input_name not in subblock_deps._should_removed_var:
                        reversed_input_vars.append(input_name)
                    else:
                        program_deps.crop_input_var_from_op(idx, input_name)
                op.desc.set_input('Input', reversed_input_vars)
                op.desc.set_output('Out', reversed_output_vars)
            else:
                if program_deps.should_remove_op(idx):
                    program_deps.remove_op(idx)

        block._sync_with_cpp()
        return

    def _remove_cast_op(self, block, sub_prog, offset):
        inserted_op_num = 0
        for op_idx in reversed(
                range(offset + sub_prog._start_idx, offset +
                      sub_prog._end_idx)):
            op = block.ops[op_idx]
            if self._is_fp16_cast_op(block, op):
                block._remove_op(op_idx)
                inserted_op_num -= 1
        block._sync_with_cpp()
        return inserted_op_num

    def _insert_broadcast_ops(self, block, insert_idx, broadcast2root):
        """
        _add_broadcast_ops
        """
        ring_id = -1
        # TODO(mapingshuo): correct OP_ROLE_KEY
        for broadcast_name, root_device in broadcast2root:
            ring_id = (ring_id + 1) % self._nrings
            block._insert_op(
                insert_idx,
                type='c_broadcast',
                inputs={'X': broadcast_name},
                outputs={'Out': broadcast_name},
                attrs={
                    'ring_id': ring_id,
                    'root': root_device,
                    OP_ROLE_KEY: OpRole.Forward
                })
        return

    def _insert_allreduce_ops(self, block, insert_idx, allreduce_vars):
        """
        _add_allreduce_ops
        """
        ring_id = -1
        for var in allreduce_vars:
            ring_id = (ring_id + 1) % self._nrings
            block._insert_op(
                insert_idx,
                type='c_allreduce_sum',
                inputs={'X': var},
                outputs={'Out': var},
                attrs={'ring_id': ring_id,
                       OP_ROLE_KEY: OpRole.Backward})
        return

    def _insert_cast_ops(self, block, insert_idx, cast_ops):
        """
        _add_cast_ops
        """
        for fp16_name, fp32_name in cast_ops.items():
            block._insert_op(
                insert_idx,
                type="cast",
                inputs={"X": fp32_name},
                outputs={"Out": fp16_name},
                attrs={
                    "in_dtype": core.VarDesc.VarType.FP32,
                    "out_dtype": core.VarDesc.VarType.FP16
                })
        return

    def _insert_fill_constant_ops(self, block, insert_idx, fill_constant_vars):
        """
        _add_fill_constant_ops
        """
        for broadcast_name in fill_constant_vars:
            broadcast_var = block.var(broadcast_name)
            block._insert_op(
                insert_idx,
                type="fill_constant",
                outputs={"Out": broadcast_var.name},
                attrs={
                    "shape": broadcast_var.shape,
                    "dtype": broadcast_var.dtype,
                    "value": 0.0,
                })
        return

    def _insert_sync_comm_ops(self, block, insert_idx, comm_dep_vars):
        """
        _insert_sync_comm_ops
        """
        # TODO(mapingshuo) fix OP_ROLE_KEY
        for i in range(self._nrings):
            block._insert_op(
                insert_idx,
                type='c_sync_comm_stream',
                inputs={'X': comm_dep_vars},
                outputs={'Out': comm_dep_vars},
                attrs={'ring_id': i,
                       OP_ROLE_KEY: OpRole.Forward})
        return

    def _insert_sync_calc_op(self, block, insert_idx, calc_dep_vars):
        """
        _insert_sync_calc_op
        """
        # TODO(mapingshuo) fix OP_ROLE_KEY
        block._insert_op(
            insert_idx,
            type='c_sync_calc_stream',
            inputs={'X': calc_dep_vars},
            outputs={'Out': calc_dep_vars},
            attrs={OP_ROLE_KEY: OpRole.Forward})
        return

    def _add_broadcast_allreduce_v2(self, block):
        """
        _add_broadcast_allreduce_v2
        """
        ring_id = -1

        if len(self._sub_progs) < 1:
            return

        if self._sub_progs[-1]._allreduce_vars:
            self._insert_sync_comm_ops(block, self._sub_progs[-1]._end_idx,
                                       self._sub_progs[-1]._allreduce_vars)
            self._insert_allreduce_ops(block, self._sub_progs[-1]._end_idx,
                                       self._sub_progs[-1]._allreduce_vars)

        for idx, subprog in reversed(list(enumerate(self._sub_progs))):
            print("subprog_{}: ({}-{})".format(idx, subprog._start_idx,
                                               subprog._end_idx))

            allreduce_vars = self._sub_progs[
                idx - 1]._allreduce_vars if idx > 0 else []
            broadcast_vars = self._sub_progs[idx +
                                             1]._broadcast_vars if idx < len(
                                                 self._sub_progs) - 1 else []
            fill_constant_vars = self._sub_progs[
                idx + 2]._fill_constant_vars if idx < len(
                    self._sub_progs) - 2 else []
            cast_ops = self._sub_progs[idx + 2]._cast_ops if idx < len(
                self._sub_progs) - 2 else {}

            # for x in fill_constant_vars:
            #     print("fill_constant_vars: ", x)

            # step1: modify calculate ops
            # for op_idx in reversed(range(subprog._start_idx, subprog._end_idx)):
            #     op = block.ops[op_idx]
            #     print(_pretty_op_desc_(op.desc, "subprog_op"))

            for op_idx in reversed(range(subprog._start_idx, subprog._end_idx)):
                op = block.ops[op_idx]
                for input_name in op.desc.input_arg_names():
                    if input_name in subprog._param2broadcast and \
                        input_name != subprog._param2broadcast[input_name]:
                        op._rename_input(input_name,
                                         subprog._param2broadcast[input_name])

            for param_name, broadcast_name in subprog._param2broadcast.items():
                if param_name != broadcast_name:
                    block.create_var(
                        name=broadcast_name,
                        shape=self._main_program.global_block().var(
                            param_name).shape,
                        dtype=self._main_program.global_block().var(param_name)
                        .dtype,
                        persistable=False)

            # step2: remove cast ops
            block._sync_with_cpp()
            subprog._end_idx += self._remove_cast_op(block, subprog, 0)

            # step3: add Sync ops
            comm_dep_vars = allreduce_vars + [x[0] for x in broadcast_vars]
            if len(comm_dep_vars) > 0:
                self._insert_sync_comm_ops(
                    block,
                    subprog._end_idx,
                    comm_dep_vars, )
            calc_dep_vars = fill_constant_vars + [
                k for k, v in cast_ops.items()
            ]
            if len(calc_dep_vars) > 0:
                self._insert_sync_calc_op(block, subprog._end_idx,
                                          [calc_dep_vars[-1]])

            # step4: insert `fill_constant` ops 
            self._insert_fill_constant_ops(block, subprog._end_idx,
                                           fill_constant_vars)

            # step5: add `cast` ops     
            self._insert_cast_ops(block, subprog._end_idx, cast_ops)

            # step6: add broadcast ops
            self._insert_broadcast_ops(block, subprog._start_idx,
                                       broadcast_vars)

            # step7: add all_reduce ops
            self._insert_allreduce_ops(block, subprog._start_idx,
                                       allreduce_vars)

            block._sync_with_cpp()

        if self._sub_progs[0]._broadcast_vars:
            self._insert_sync_comm_ops(
                block, self._sub_progs[0]._start_idx,
                [x[0] for x in self._sub_progs[0]._broadcast_vars])
            self._insert_broadcast_ops(block, self._sub_progs[0]._start_idx,
                                       self._sub_progs[0]._broadcast_vars)

        fill_constant_vars = reduce(
            lambda x, y: x._fill_constant_vars + y._fill_constant_vars,
            self._sub_progs[:2])

        # Join
        cast_ops = {}
        for x in self._sub_progs[:2]:
            for k, v in x._cast_ops.items():
                cast_ops[k] = v

        calc_deps_vars = fill_constant_vars + [k for k, v in cast_ops.items()]
        if fill_constant_vars or cast_ops:
            self._insert_sync_calc_op(block, self._sub_progs[0]._start_idx,
                                      [calc_deps_vars[-1]])

        if fill_constant_vars:
            self._insert_fill_constant_ops(block, self._sub_progs[0]._start_idx,
                                           fill_constant_vars)

        if cast_ops:
            self._insert_cast_ops(block, self._sub_progs[0]._start_idx,
                                  cast_ops)

        return

    def _prune_startup_program(self, block):
        for idx, op in reversed(list(enumerate(block.ops))):
            for output_name in op.desc.output_arg_names():
                var_device_id = self._var_device_id(output_name)
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                if var_device_id == -1 or var_device_id == self.role_maker._worker_index(
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                ):
                    continue
                print("%d: startup_block remove op %s" %
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                      (self.role_maker._worker_index(), op.type))
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                block._remove_op(idx)
                break
        for var_name, _ in block.vars.items():
            var_device_id = self._var_device_id(var_name)
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            if var_device_id == -1 or var_device_id == self.role_maker._worker_index(
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            ):
                continue
            print("%d: startup_block remove var %s" %
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                  (self.role_maker._worker_index(), var_name))
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            block._remove_var(var_name)
        block._sync_with_cpp()

    def _find_broadcast_params(self, params, param2device):
        broadcast_vars = set([])
        fp16_params = set([])
        fp16_to_fp32 = {}
        main_block = self._main_program.global_block()

        param_usage = {x: 0 for x in params}
        for op in main_block.ops:
            if is_optimizer_op(op):
                continue
            for input_name in op.desc.input_arg_names():
                if input_name in params:
                    param_usage[input_name] += 1

        for op in main_block.ops:
            if not self._is_fp16_cast_op(main_block, op):
                continue
            input_name = op.input_arg_names[0]
            output_name = op.output_arg_names[0]
            broadcast_vars.add(output_name)
            fp16_params.add(output_name)
            fp16_to_fp32[output_name] = input_name
            param_usage[input_name] -= 1
            param2device[output_name] = param2device[input_name]

        for param, usage in param_usage.items():
            if usage > 0:
                broadcast_vars.add(param)
        return fp16_params, broadcast_vars, fp16_to_fp32

    def _set_up(self, params_grads):
        # step 1: initialize nccl
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        print("work idx: ", self.role_maker._worker_index())
        endpoints = self.role_maker._get_trainer_endpoints()
        current_endpoint = endpoints[self.role_maker._worker_index()]
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        self._collective_helper = CollectiveHelper(self.role_maker,
                                                   self._nrings)
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        for ring_id in range(self._nrings):
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            self._collective_helper._init_communicator(
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                self._startup_program, current_endpoint, endpoints,
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                self.role_maker._worker_index(), ring_id, None)
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        startup_block = self._startup_program.global_block()
        startup_block._sync_with_cpp()

        # step 2: split params
        self._params = set([x[0].name for x in params_grads])
        self._param2device = self._split_params([x[0] for x in params_grads])

        # step 3: get broadcast vars
        self._fp16_params, self._broadcast_vars, self._fp16_to_params = self._find_broadcast_params(
            self._params, self._param2device)

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    def _wait(self, ):
        endpoints = self.role_maker._get_trainer_endpoints()
        current_endpoint = endpoints[self.role_maker._worker_index()]
        if self.role_maker._worker_index() == 0:
            self._collective_helper._wait(current_endpoint, endpoints, '6174')

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    def minimize_impl(self,
                      loss,
                      startup_program=None,
                      parameter_list=None,
                      no_grad_set=None):

        if self.user_defined_strategy.zero_configs["allreduce"]:
            return self.minimize_impl_allreduce(loss, startup_program,
                                                parameter_list, no_grad_set)

        ckpts = list(self.user_defined_strategy.zero_configs["checkpoints"])
        optimizer = self.inner_opt
        if len(ckpts) > 0:
            print("add recompute")
            print(ckpts)
            optimizer = fluid.optimizer.RecomputeOptimizer(optimizer)
            optimizer._set_checkpoints(ckpts)

        if self.user_defined_strategy.zero_configs["amp"]:
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            optimizer = amp_decorate(optimizer, use_dynamic_loss_scaling=True)
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        self._nrings = self.user_defined_strategy.zero_configs["nrings"]
        self._fuse_broadcast_MB_bytes = self.user_defined_strategy.zero_configs[
            "fuse_broadcast_MB_bytes"]

        print("doing zero optimize...")
        optimize_ops, params_grads = optimizer.minimize(
            loss, startup_program, parameter_list, no_grad_set)

        if startup_program is None:
            startup_program = default_startup_program()
        main_block = loss.block
        startup_block = startup_program.global_block()
        self._main_program = main_block.program
        self._startup_program = startup_program

        # step1: set_up
        self._set_up(params_grads)

        # step2: split_program
        self._split_program(main_block)

        # step3: add broadcast and reduce ops
        print("insert broadcast and allreduce")
        self._add_broadcast_allreduce_v2(main_block)
        main_block._sync_with_cpp()
        startup_block._sync_with_cpp()

        # step4: insert reduce_sum for grad
        self._insert_scale_loss_grad_ops(
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            main_block, scale=1.0 / self.role_maker._worker_num())
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        main_block._sync_with_cpp()

        # step5: remove unneeded ops and vars from block
        print("main_block remove ops and vars")
        self._prune_main_program(main_block)
        print("startup_block remove ops and vars")
        self._prune_startup_program(startup_block)

        # check op dependecy for broadcast
        self._check_broadcast(main_block)
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        self._wait()
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        return optimize_ops, params_grads

    def _check_broadcast(self, block):
        """
        if a var is broadcasted, it should have a sync_comm before
        this var is used, if not, raise error.
        if the broadcasted var has a fill_constant op, the fill_constant
        op should stay forward before the broadcast op, and before a
        sync_calc op. Otherwise, raise error.
        """
        broadcast_vars = {}
        for idx, op in enumerate(block.ops):
            if op.type == "c_broadcast":
                var_name = op.desc.input_arg_names()[0]
                if "@BroadCast" in var_name:
                    if var_name in broadcast_vars:
                        print("error: var_name areadly exist: ", var_name)
                        print("the old pos is ",
                              broadcast_vars[var_name]["broadcast_pos"])
                        print("the new pos is ", idx)
                    assert (var_name not in broadcast_vars)
                    broadcast_vars[var_name] = {
                        "fill_constant_pos": -1,
                        "broadcast_pos": idx,
                    }

        for idx, op in enumerate(block.ops):
            if op.type == "fill_constant":
                var_name = op.desc.output_arg_names()[0]
                if var_name in broadcast_vars:
                    broadcast_vars[var_name]["fill_constant_pos"] = idx
                continue

        last_sync_comm_op_idx = -1
        last_sync_calc_op_idx = -1
        for idx, op in enumerate(block.ops):
            if op.type == "c_sync_comm_stream":
                last_sync_comm_op_idx = idx
                continue
            if op.type == "c_sync_calc_stream":
                last_sync_calc_op_idx = idx
                continue
            if op.type == "c_broadcast":
                var_name = op.desc.input_arg_names()[0]
                if "@BroadCast" in var_name:
                    if broadcast_vars[var_name]["fill_constant_pos"] != -1:
                        assert (last_sync_calc_op_idx != -1)
                        assert (broadcast_vars[var_name]["fill_constant_pos"] <
                                last_sync_calc_op_idx)
                        assert (last_sync_calc_op_idx < idx)
                    continue
            for input_name in op.desc.input_arg_names():
                if input_name in broadcast_vars:
                    assert (broadcast_vars[input_name]["broadcast_pos"] != -1)
                    assert (broadcast_vars[input_name]["broadcast_pos"] <
                            last_sync_comm_op_idx)
                    assert (last_sync_comm_op_idx < idx)
        print("check done")
        return

    def _add_broadcast_allreduce(self, block, sub_prog, offset):
        """
        add broadcast and allreduce
        """
        # insert reduce ops
        inserted_op_num = 0
        ring_id = -1

        if len(sub_prog._allreduce_vars) > 0:
            for i in range(self._nrings):
                block._insert_op(
                    offset + sub_prog._end_idx,
                    type='c_sync_comm_stream',
                    inputs={'X': sub_prog._allreduce_vars},
                    outputs={'Out': sub_prog._allreduce_vars},
                    attrs={'ring_id': i,
                           OP_ROLE_KEY: OpRole.Forward})
            inserted_op_num += self._nrings

            for var in sub_prog._allreduce_vars:
                ring_id = (ring_id + 1) % self._nrings
                block._insert_op(
                    offset + sub_prog._end_idx,
                    type='c_allreduce_sum',
                    inputs={'X': var},
                    outputs={'Out': var},
                    attrs={'ring_id': ring_id,
                           OP_ROLE_KEY: OpRole.Backward})
                inserted_op_num += 1

            block._insert_op(
                offset + sub_prog._end_idx,
                type='c_sync_calc_stream',
                inputs={'X': sub_prog._allreduce_vars[-1]},
                outputs={'Out': sub_prog._allreduce_vars[-1]},
                attrs={OP_ROLE_KEY: OpRole.Forward})
            inserted_op_num += 1

        block._sync_with_cpp()
        # insert broadcast ops
        for op_idx in reversed(
                range(offset + sub_prog._start_idx, offset +
                      sub_prog._end_idx)):
            op = block.ops[op_idx]
            for input_name in op.desc.input_arg_names():
                if input_name in sub_prog._param2broadcast and \
                    input_name != sub_prog._param2broadcast[input_name]:
                    op._rename_input(input_name,
                                     sub_prog._param2broadcast[input_name])

        for param_name, broadcast_name in sub_prog._param2broadcast.items():
            if param_name != broadcast_name:
                block.create_var(
                    name=broadcast_name,
                    shape=self._main_program.global_block().var(
                        param_name).shape,
                    dtype=self._main_program.global_block().var(param_name)
                    .dtype,
                    persistable=False)

        comm_dep_vars = [v for k, v in sub_prog._param2broadcast.items()]
        for i in range(self._nrings):
            block._insert_op(
                offset + sub_prog._start_idx,
                type='c_sync_comm_stream',
                inputs={'X': comm_dep_vars},
                outputs={'Out': comm_dep_vars},
                attrs={'ring_id': i,
                       OP_ROLE_KEY: OpRole.Forward})
        inserted_op_num += self._nrings

        for param_name, broadcast_name in sub_prog._param2broadcast.items():
            broadcast_var = block.var(broadcast_name)
            root_device = self._param2device[param_name]
            ring_id = (ring_id + 1) % self._nrings
            block._insert_op(
                offset + sub_prog._start_idx,
                type='c_broadcast',
                inputs={'X': broadcast_var.name},
                outputs={'Out': broadcast_var.name},
                attrs={
                    'ring_id': ring_id,
                    'root': root_device,
                    OP_ROLE_KEY: OpRole.Forward
                })
            inserted_op_num += 1

        comm_dep_vars = [
            v for k, v in sub_prog._param2broadcast.items() if k != v
        ]
        if comm_dep_vars != []:
            block._insert_op(
                offset + sub_prog._start_idx,
                type='c_sync_calc_stream',
                inputs={'X': comm_dep_vars[-1]},
                outputs={'Out': comm_dep_vars[-1]},
                attrs={OP_ROLE_KEY: OpRole.Forward})
            inserted_op_num += 1

        for param_name, broadcast_name in sub_prog._param2broadcast.items():
            if param_name != broadcast_name:
                broadcast_var = block.var(broadcast_name)
                block._insert_op(
                    offset + sub_prog._start_idx,
                    type="fill_constant",
                    outputs={"Out": broadcast_var.name},
                    attrs={
                        "shape": broadcast_var.shape,
                        "dtype": broadcast_var.dtype,
                        "value": 0.0,
                    })
                inserted_op_num += 1

        for fp16_name, fp32_name in sub_prog._cast_ops.items():
            block._insert_op(
                offset + sub_prog._start_idx,
                type="cast",
                inputs={"X": fp32_name},
                outputs={"Out": fp16_name},
                attrs={
                    "in_dtype": core.VarDesc.VarType.FP32,
                    "out_dtype": core.VarDesc.VarType.FP16
                })
            inserted_op_num += 1

        block._sync_with_cpp()
        return inserted_op_num

    def _broadcast_params(self, block):
        ring_id = -1
        for param in block.iter_parameters():
            if param.is_distributed:
                continue
            ring_id = (ring_id + 1) % self._nrings
            block.append_op(
                type='c_broadcast',
                inputs={'X': param},
                outputs={'Out': param},
                attrs={
                    'ring_id': ring_id,
                    'root': 0,
                    OP_ROLE_KEY: OpRole.Forward
                })
        for ring_id in range(self._nrings):
            block.append_op(
                type='c_sync_comm_stream',
                inputs={'X': param},
                outputs={'Out': param},
                attrs={'ring_id': ring_id,
                       OP_ROLE_KEY: OpRole.Forward})

    # def _insert_broadcast_ops(self, block, fuse_broadcast=False):
    #     def _insert_cache(cache,
    #                       prepend_comm_sync=False,
    #                       append_comm_sync=False):
    #         insert_idx = cache["insert_idx"]
    #         dummy_var_name = cache["dummy_var_name"]
    #         assert (len(cache["broadcast_ops"]) > 0)

    #         if prepend_comm_sync:
    #             insert_idx += self._insert_comm_sync(block, insert_idx,
    #                                                  [dummy_var_name])

    #         if len(cache["fill_constant_ops"]) > 0:
    #             insert_idx += self._insert_fill_constant(
    #                 block, insert_idx, cache["fill_constant_ops"],
    #                 [dummy_var_name])

    #         insert_idx += self._insert_broadcast_inner(block, insert_idx,
    #                                                    cache["broadcast_ops"])

    #         if append_comm_sync:
    #             insert_idx += self._insert_comm_sync(block, insert_idx,
    #                                                  [dummy_var_name])

    #         return insert_idx - cache["insert_idx"]

    #     print("insert_idx: ", [x["insert_idx"] for x in self._sub_progs])
    #     move_ahead = 1
    #     for idx, cache in reversed(list(enumerate(self._sub_progs))):
    #         if idx < move_ahead:
    #             cache["insert_idx"] = 0
    #         else:
    #             cache["insert_idx"] = self._sub_progs[idx - move_ahead][
    #                 "insert_idx"]
    #     print("insert_idx: ", [x["insert_idx"] for x in self._sub_progs])

    #     inserted_op_num = 0
    #     for idx, cache in enumerate(self._sub_progs):
    #         prepend_comm_sync = True
    #         append_comm_sync = True
    #         cache["insert_idx"] += inserted_op_num
    #         inserted_op_num += _insert_cache(
    #             cache,
    #             prepend_comm_sync=prepend_comm_sync,
    #             append_comm_sync=append_comm_sync)
    #     return

    def _insert_allreduce_ops_tmp(self, block):
        ring_id = -1
        grad = None
        for idx, op in reversed(list(enumerate(block.ops))):
            if is_backward_op(op) and \
                    OP_ROLE_VAR_KEY in op.attr_names:
                op_role_var = op.all_attrs()[OP_ROLE_VAR_KEY]

                if len(op_role_var) == 0:
                    continue
                assert len(op_role_var) % 2 == 0

                offset = idx
                for i in range(0, len(op_role_var), 2):
                    # param = block.vars[op_role_var[i]]
                    grad = block.vars[op_role_var[i + 1]]
                    # TODO(mapingshuo): what is is_distributed
                    # if param.is_distributed:
                    #     continue

                    if offset == idx:
                        offset += 1
                        block._insert_op(
                            offset,
                            type='c_sync_calc_stream',
                            inputs={'X': grad},
                            outputs={'Out': grad},
                            attrs={OP_ROLE_KEY: OpRole.Backward})
                        offset += 1
                    # As we search ops reversedly, we should insert c_allreduce_sum
                    # op in the same way to keep the ring_id alternate
                    print("add allreduce op for {}".format(grad.name))
                    ring_id = (ring_id + 1) % self._nrings
                    block._insert_op(
                        offset,
                        type='c_allreduce_sum',
                        inputs={'X': grad},
                        outputs={'Out': grad},
                        attrs={
                            'ring_id': ring_id,
                            OP_ROLE_KEY: OpRole.Backward
                        })

        if grad is None:
            return

        for idx, op in enumerate(block.ops):
            if is_optimizer_op(op):
                for ring_id in range(self._nrings):
                    block._insert_op(
                        idx + ring_id,
                        type='c_sync_comm_stream',
                        inputs={'X': grad},
                        outputs={'Out': grad},
                        attrs={
                            'ring_id': ring_id,
                            OP_ROLE_KEY: OpRole.Backward
                        })
                break

    def minimize_impl_allreduce(self,
                                loss,
                                startup_program=None,
                                parameter_list=None,
                                no_grad_set=None):

        self._nrings = self.user_defined_strategy.zero_configs["nrings"]

        optimizer = self.inner_opt
        if self.user_defined_strategy.zero_configs["amp"]:
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            optimizer = amp_decorate(optimizer, use_dynamic_loss_scaling=True)
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        optimize_ops, params_grads = optimizer.minimize(
            loss, startup_program, parameter_list, no_grad_set)

        if startup_program is None:
            startup_program = default_startup_program()

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        print("work idx: ", self.role_maker._worker_index())
        endpoints = self.role_maker._get_trainer_endpoints()
        current_endpoint = endpoints[self.role_maker._worker_index()]
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        collective_helper = CollectiveHelper(self.role_maker, self._nrings)
        for ring_id in range(self._nrings):
            collective_helper._init_communicator(
                startup_program, current_endpoint, endpoints,
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                self.role_maker._worker_index(), ring_id, '6174')
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        main_block = loss.block
        startup_block = startup_program.global_block()
        self._broadcast_params(startup_block)

        self._insert_scale_loss_grad_ops(
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            main_block, scale=1.0 / self.role_maker._worker_num())
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        self._insert_allreduce_ops_tmp(main_block)
        print("insert allreduce done")
        return optimize_ops, params_grads

    # def _insert_comm_sync(self, block, insert_idx, var_names):
    #     for r in range(self._nrings):
    #         block._insert_op(
    #             insert_idx,
    #             type='c_sync_comm_stream',
    #             inputs={'X': var_names},
    #             outputs={'Out': var_names},
    #             attrs={'ring_id': r,
    #                    OP_ROLE_KEY: OpRole.Backward})
    #         insert_idx += 1
    #     return self._nrings

    # def _insert_broadcast_inner(self, block, insert_idx, broadcast_attrs):
    #     for attr in broadcast_attrs:
    #         block._insert_op(insert_idx, **attr)
    #         insert_idx += 1
    #     return len(broadcast_attrs)

    # def _insert_fill_constant(self, block, insert_idx, fill_constant_attrs,
    #                           var_names):
    #     for attr in fill_constant_attrs:
    #         block._insert_op(insert_idx, **attr)
    #         insert_idx += 1
    #     block._insert_op(
    #         insert_idx,
    #         type='c_sync_calc_stream',
    #         inputs={'X': var_names},
    #         outputs={'Out': var_names},
    #         attrs={OP_ROLE_KEY: OpRole.Backward})
    #     return len(fill_constant_attrs) + 1