* [cherry-pick] extend reduce_sum,reduce_sum,eq,ne,ge,abs,pow,etc higher order operators

* add reduce_mean,reduce_sum primitive ops
* add ne_p gt_p primitive operators
* add ge_p abs_p primitive oparators
* add cast primitive operators
* add pow,square prim2oirg rules
* add elementwise_div orig2prim rule

* [cherry-pick] add mean,sum,ge,gt,ne,abs,etc higher-order differentiation operators(#45888)

* add reduce_mean,reduce_sum primitive ops

* add ne_p gt_p primitive operators

* add ge_p abs_p primitive oparators

（cherry-pick）Fix split infershape in static mode and add convert rules for fill_any_like op (#46079)

* Fix split bug in static mode (#45906)

* fix split bug in static mode

* modify code style

* modify code style

* add unit test for split

* add convert rules for fill_any_like op in paddle science (#45985)

* add convert rules for fill_any_like op in paddle science

* add unit test for fill_any_like op in paddle science

* modify fill_any_like convert rule

* modify fill_any_like convert rule dtype

* add erf_p primitive operators

* add gelu orig2prim rule

* move incubate to geometric

* add paddle.geometric

* fix unittest bug

* add float16 support for segment op

* change reindex and sample neighbors flag name

* add heter graph reindex

* move sample_neighbors.py to neighbors.py

* delete khop_sampler in geometric

* delete unused code

* change sample_neighbors api input order

* fix en doc

* fix unittest

* fix unittest

* change reindex

* fix division by 0

* delete unnecessary input argument

* delete final_state

* add max_p without test

* add test of max_p

* make max_p consistent with paddle.maximum

* add select_p

* fix bugs

* add custom test for select_p; modify select_p primrules

* modify according to xiaoxu's comment

* add eq_p, select_p, pow_p, use autograd to test grad of high order

* add requirement of autograd, modify expected type of eq

* modify according to xiaoxu's comment

* import primops to use primops.pow

* add init file

* add op definition and infermeta

* add kernel definition funcs

* add broadcast infer shape

* add gpu forward kernel

* delete SUB and DIV

* add x_grad

* add template

* add e_grad for min and max

* fix small bug

* temp commit

* temp commit

* add e_grad for sum and mean

* fix some compile bug

* fix compile bugs

* fix compile problem

* add sum forward unittest

* fix broadcast error, add kernel sig, register e_grad, change unit test

* fix grad

* add temp grad fix

* temp commit

* add min max unittest

* add max, min unittest, fix mul bug

* add cpu forward sum and mean

* add forward min max, fix mean unittest

* add cpu backward min max

* fix code-style

* add backward sum mean

* fix rocm ci

* set uniitest timeout

* fix bug of x broadcast to e, gpu grad

* fix bug of x broadcast to e, cpu grad

* rename BOOST_GET_CONST macro

* fix rocm ci

* mv graph_send_e_recv to graph_send_ue_recv

* move out_size to IntArray

* add eager op test

* fix max pool type bug, add unittest for api

* revise api doc

* add fp16 for atomic min and max, add unittest

* add unittest

* add fp16 support for graph_send_recv

* fix unittest fp16 bug

* change OutSizeTensor to Out_size

* move E to Y

* add copyright, fix comment

* review code

* fix thread block size

* fix thread block size

* change api attribute name: pool_type to reduce_op, compute_type to message_op

* change api attribute name, move pool_type to reduce_op, move compute_type to message_op

* change out_size to INTArray

* fix out_size eager bug

* add unittest for out_size tensor

* add deprecated for paddle.incubate.graph_send_recv, add paddle.geometric.send_u_recv and unittests

* fix lowest bug

* fix according review comment

* add default value in yaml

* change api file name

* change name

* add log_p for auto_grad

* add log_p_op.cc in prim_op_test srcs

* fix bug of wrong op name; add test in test_primops

* add test case of log in testprimapi

* fix bug of test_without_guard

* no need to fix test_without_guard

* add name attribute to code-block, test=document_fix

* remove redundant labels, test=document_fix

* remove redundant labels (from upstream), test=document_fix

* more COPY-FROM (try multiple code example), test=document_fix

* empty commit, try to trigger PR-CI-build

* fix some `Examples:` format issues

* fix some ci errors

* add use_hierarchical_allreduce

* support hierarchical allreduce for more cases

* fix test and doc

* add sparse SyncBatchNorm

* move average_accumulates op to phi kernel

* add xpu resnet_unit
*test=kunlun

* tmp
*test=kunlun

* add sparse api coalesce

* move _gradients to primapi and rename to grad

* modify jvp to call forward_grad in primitive mode

* add primapi unittest and remove some unused test cases.

* fix  circular import problem

* move paddle/autograd/functional into paddle/incubate.autograd/functional

* remove unused JacobianBatchLast class

* feat(): dynamic_to_static support for ipu.

* fix(): format fix.

* fix format

* fix cpplint error

* use phi::errors

* fix format

* fix format

* fix(): add api to restore patched function.

* fix(): identity_loss uses cpu place as expected kernel type.

* doc(): add IPU dy2static related docs.

* fix(): combine test cases.

* fix format

* fix comment

* fix format

* apply comment

* fix compiling

* fix(): align docs.

* fix(): fix identity_loss function docs.

* fix(): adjust mean and sum in identity_loss.

* fix(): minor docs.

* move API to paddle.incubate.identity_loss

* fix UT
Co-authored-by: Nzhaorui chen <zhaoruic@graphcore.ai>

* [Sparse] add SparseCsrTensor fused_attention kernel and API

* fix comment

* Add new attr of fused_multi_transformer

* fix format

* add note

* add in layer

* fixfixfixfix

* [UPDATE FLUID API] only reference in paddlerec

* change lr

* [UPDATE FLUID API] only reference in paddlerec

* update by reviews

* [Sparse]add SparseTensor mv kernel(csr*dense_vec->dence_vec, coo*dense_vec->dense_vec)

* fix CI

* enable Jacobian,Hessian supporting new autograd

* fix prim mode failed in PR-CI-Windows

* add forward_gradients api

* add forward_gradients api

* skip test_autograd_functional_prim in windows ci

* fix test_autograd_funciton_prim timeouot

* remove the block parameter in prim2orig method

* remove duplicate to_tensors code snippet # test=allcases