* Extend python einsum interface to make einsum_v2 support multi-operands and switch it to default.

* add opt_einsum dependence

* add yaml and support eager model

* fix by code review

* full api fix

* when out is None, go old dygraph mode

* by static check

* first version: support 2-inputs forwards. TODO: 1. backward  2. BroadCast  3. MultiVariable

* time out -> 120

* Optimize the performanece of sum api (#42231)

* optimize the performanece of sum api

* optimize IsDenseTensorInput

* remove debug log

* Add move construct for KernelSignature (#42253)

* add move construct for KernelSignature

* add noexcept

* fix cherry-pick problem

* gradients; test=document_fix

* fix VarType; test=document_fix

* fix vartype; test=document_fix

* cumsum; test=document_fix

* t; test=document_fix

* add rsqrt yaml and unittest (#41443)

* Add expand equal all yaml (#41540)

* add expand, poisson

* add poison grad

* add expand equal_all poisson triangular solve yaml
Co-authored-by: Nhong <43953930+phlrain@users.noreply.github.com>

* [Eager] paddle.sort interface use final_state

* Add eager test case for paddle.sort()

* [DoubleGrad] Enabled double grad test cases in eager_mode for test_imperative_double_grad

* Fixed elementwise issue

* Addressed CI failures

* [DoubleGrad] Enabled test_imperative_triple_grad test cases under eager_mode

* [DoubleGrad] Enabled test_autograd_functional_dynamic.py under eager mode

* Enabled more test cases

* Fixed performance issues

* Fixed minor issue

Add paddle.sparse and three Sparse API (#41276)
Add Sparse API to_dense, to_sparse_coo and values (#41394)

* add multi_dot,maxout,multiplex yaml

* add code converage

* [Yaml]add exp yaml (#41217)

* add exp yaml

* add exp api in test case

* add determinant yaml

* fix exp op unittest

* change test class name

* modify api name

* compacted with raw api

* fix det api

* add python_api

* add test eager for determinant op

* [Yaml] Add assign yaml (#41428)

* add assign yaml

* add assign api

* add assign backward api

* add assign

* add assign yaml

* add assign

* assign yaml

* add assign raw kernel and use assign_raw in yaml

* merge develop branch

* add missing python_api

* exchange assign and assign_raw kernel name (#41625)

* exchange assign and assign_raw kernel name

* fix register error

* [Yaml]add gaussian_random yaml and test case (#41312)

* add guassian random yaml

* add gaussian_random yaml and test case

* fix error modify of full yaml

* import in_dygraph_mode

* import _in_legacy_dygraph

* add place arg in api

* import __current_expected_place

* fix test_egr_python_api failed case

* add test case

* add cast for NormalInitializer

* fix test error

* fix test error

* rm unsed check code

* fix test error in test_initializer_nn

* modify by review

* [Phi]fix split error when sections has 0 size and add test case (#41708)

* fix split error when sections has 0 size and add test case

* fix test case

* Add yaml for matrix rank op (#41466)

* modify matrix_rank

* add matrix_rank shape

* add matrix_rank shape

* Add yaml for matrix_rank OP

* Add UT
Co-authored-by: Nzhoujianqian <15205085056@163.com>

* Add yaml for eye OP (#41476)

* [cherry-pick] Add yaml config for matrix_rank, eye, deformable_conv and
deformable_conv_v1 OPs
* Add yaml for deformable_conv and deformable_conv_v1 OPs

* Add UT

* Add to skipped_phi_api list for infrt
Co-authored-by: Nzhoujianqian <15205085056@163.com>

* ad conj flip yaml

* add flip conj pixel shuffle

* gather op

* add mod

* [Yaml] final state for uniform and uniform_random

[Cherry-Pick]Add hard_swish/kron/linspace/logit/graph_send_recv/multi_dot/maxout/multiplex op yaml file  (#41566)

* [Phi]Add graph_send_recv yaml file (#41206)

* add graph_send_recv yaml

* deal with confict

* fix compile bugs

* cherry-pick pr 41298

* cherry-pick pr41550

* fix compile bugs

* add dist erfinv gumbel softmax

* fix test gumbel softmax op bug

* try to fix gumbel softmax error

* add label smooth backlist

* [Eager]Fix segment_pool/allclose/isclose/scale API bug (#41506)

* [Eager]Fix segment_pool/allclose/isclose/scale API bug

* fix kernel register problem

* add norm, segment_pool (#41465)
Co-authored-by: Nhong <43953930+phlrain@users.noreply.github.com>

[Cherry-pick] Add truncated_normal/unique/swish/unbind yaml and polish Getting tensor place impl (#41539)

* [Phi] Polish truncated normal kernel and add yaml (#41280)

* polish truncated normal kernel

* add yaml

* add truncated normal kernel and add yaml

* polish unittests and yaml

* import dygraph mehtod

* add unique yaml and final state api (#41460)

* fix get tensor backend set bug (#41478)

* [Phi] Add unbind yaml and final state api (#41277)

* add unbind yaml

* fix unittest

* [Phi] Add swish yaml and final state api (#41479)

* add swish yaml and final state api

* skip mkldnn test

* fix grad mkldnn test

* add cherry-pick lost code

* Update __init__.py

* Update math.py

* Create test_nanmean_api.py

* Update __init__.py

* Update __init__.py

* Update math.py

* Update test_nanmean_api.py

* Update __init__.py

* Update math.py

* Update test_nanmean_api.py

* Update test_nanmean_api.py

* Update test_nanmean_api.py

* Update math.py

* Update test_nanmean_api.py

* Update math.py

Update the nanmean example code

* Update math.py

* Update math.py

* Update math.py

Remove redundant code in nanmean

* Update math.py

change default keepdim = False

* Update test_nanmean_api.py

add nan into self.x

* Update test_nanmean_api.py

rerun CI check

* Update test_nanmean_api.py

* update code of nanmean in python/paddle/tensor/math.py and test_nanmean_api.py

* Update test_nanmean_api.py

update code format

* Update test_nanmean_api.py

update code format

* Update test_nanmean_api.py

add check grad code.

* Update math.py

update nanmean's describe of Args x

* Update test_nanmean_api.py

update format and release the test_case(self.x, keepdim=True) in check grad code.

* Update test_nanmean_api.py

Update gradient checking method

* Update test_nanmean_api.py

update code format

* Update test_nanmean_api.py 

Update code format and copyright in test_nanmean_api.py

* Update math.py

update arguments describe and code example

* Update math.py

修改了nanmean的axis参数的文档描述。

* Update math.py

updata nanmean's sample code (:name: code-example1)

* Update math.py

修改nanmean的example code 错误

* Update math.py

update example code

* Update math.py

update example code of nanmean

* add real and imag yaml

* add roi_align and roi_pool yaml

* add qr yaml

* add psroi_pool yaml

* fix bug

* fix param bug of psroi_pool

* fix infrt problem

* fix merge bug

* fix less than

* fix some tests

* fix additional 3 unittest case

* eager math op, test=develop

* eager support lookahead, test=develop

* refine,test=develop

* refine doc, test=develop

* refine,test =develop

* refie, test=develop

* refie, test=develop

* refie, test=develop

* test_paddle_multiprocessing

* refine, test=develop

* refine, test=develop

* fix bug, test=develop

* refine, test=develop

* dataloader, test=develop

* refine, test=develop

* refine, test=develop

* refine, test=develop

* test_datasets timeout, test=develop

* refine, test=develop

* [Eager]Fix tile API final_state bug

* fix backward bug

* add clip yaml

* import _test_eager_guad

* add default value to scalar

* add clip_grad default value

* fix test failed

* update epxand and sigmoid with cross entropy

* skip expand as infrt check

* fix sigmoid cross entropy bug

* remove no grad set white list

* remove no grad set

* fix bug

* fix sigmoid error

* fix bug

* Add yaml for reduce_sum OP

* Fix CI errors

* Fix CI errors

* Fix CI errors

* Fix CI errors

* [Eager]Polish enable/disable_legacy_dygraph logic

* fix test_var_base print_tensor

* fix bug caused by arange

* Updated bf16 cast case

* BF16 astype to float32
Co-authored-by: NAurelius84 <zhangliujie@baidu.com>
Co-authored-by: Npangyoki <pangyoki@126.com>
Co-authored-by: Nzyfncg <zhangyunfei07@baidu.com>

* Fix some PaddleTest UT

* refine code

* set default value

* add add_n infermeta

* forward run success

* add add_n grad yaml

* support scale final state

* fix inplace error

* pass arg directly

* pass arg directly for inplace api

* fix type

* Add yaml for flatten_contiguous_range OP

* update

* Fix typos
Co-authored-by: NShixiaowei02 <39303645+Shixiaowei02@users.noreply.github.com>

* gather op

* add mod

* [Eager]Polish enable/disable_legacy_dygraph logic

* merge yunfei PR

* merge other pr