Benchmark, comparison scikit-learn - onnxruntime-training

The benchmark compares the processing time between scikit-learn and onnxruntime-training on a linear regression and a neural network. It uses the model trained in Train a scikit-learn neural network with onnxruntime-training on GPU.

First comparison: neural network

import warnings
from pprint import pprint
import time
import numpy
import matplotlib.pyplot as plt
from pandas import DataFrame
from onnxruntime import get_device
from pyquickhelper.pycode.profiling import profile, profile2graph
from sklearn.datasets import make_regression
from sklearn.model_selection import train_test_split
from sklearn.neural_network import MLPRegressor
from mlprodict.onnx_conv import to_onnx
from onnxcustom.utils.orttraining_helper import (
    add_loss_output, get_train_initializer)
from onnxcustom.training.optimizers import OrtGradientOptimizer


X, y = make_regression(1000, n_features=100, bias=2)
X = X.astype(numpy.float32)
y = y.astype(numpy.float32)
X_train, X_test, y_train, y_test = train_test_split(X, y)

Benchmark function.

def benchmark(skl_model, train_session, name, verbose=True):
    """
    :param skl_model: model from scikit-learn
    :param train_session: instance of OrtGradientOptimizer
    :param name: experiment name
    :param verbose: to debug
    """
    print("[benchmark] %s" % name)
    begin = time.perf_counter()
    skl_model.fit(X, y)
    duration_skl = time.perf_counter() - begin
    length_skl = len(skl_model.loss_curve_)
    print("[benchmark] skl=%r iterations - %r seconds" % (
        length_skl, duration_skl))

    begin = time.perf_counter()
    train_session.fit(X, y)
    duration_ort = time.perf_counter() - begin
    length_ort = len(train_session.train_losses_)
    print("[benchmark] ort=%r iterations - %r seconds" % (
        length_ort, duration_ort))

    return dict(skl=duration_skl, ort=duration_ort, name=name,
                iter_skl=length_skl, iter_ort=length_ort,
                losses_skl=skl_model.loss_curve_,
                losses_ort=train_session.train_losses_)

Common parameters and model

batch_size = 15
max_iter = 100

nn = MLPRegressor(hidden_layer_sizes=(50, 10), max_iter=max_iter,
                  solver='sgd', learning_rate_init=5e-4, alpha=0,
                  n_iter_no_change=max_iter * 3, batch_size=batch_size,
                  nesterovs_momentum=False, momentum=0,
                  learning_rate='invscaling')

with warnings.catch_warnings():
    warnings.simplefilter('ignore')
    nn.fit(X_train, y_train)

Conversion to ONNX and trainer initialization

onx = to_onnx(nn, X_train[:1].astype(numpy.float32), target_opset=15)
onx_train = add_loss_output(onx)

weights = get_train_initializer(onx)
pprint(list((k, v[0].shape) for k, v in weights.items()))

train_session = OrtGradientOptimizer(
    onx_train, list(weights), device='cpu', learning_rate=1e-5,
    warm_start=False, max_iter=max_iter, batch_size=batch_size)


benches = [benchmark(nn, train_session, name='NN-CPU')]

Out:

[('coefficient', (100, 50)),
 ('intercepts', (1, 50)),
 ('coefficient1', (50, 10)),
 ('intercepts1', (1, 10)),
 ('coefficient2', (10, 1)),
 ('intercepts2', (1, 1))]
[benchmark] NN-CPU
somewhere/workspace/onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:692: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
  warnings.warn(
[benchmark] skl=100 iterations - 13.238363448996097 seconds
[benchmark] ort=100 iterations - 4.475439592963085 seconds

Profiling

def clean_name(text):
    pos = text.find('onnxruntime')
    if pos >= 0:
        return text[pos:]
    pos = text.find('onnxcustom')
    if pos >= 0:
        return text[pos:]
    pos = text.find('site-packages')
    if pos >= 0:
        return text[pos:]
    return text


ps = profile(lambda: benchmark(nn, train_session, name='NN-CPU'))[0]
root, nodes = profile2graph(ps, clean_text=clean_name)
text = root.to_text()
print(text)

Out:

[benchmark] NN-CPU
somewhere/workspace/onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:692: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
  warnings.warn(
[benchmark] skl=100 iterations - 14.982149800984189 seconds
[benchmark] ort=100 iterations - 4.588065053103492 seconds
filter                                                       --     18     18 -- 0.00008 0.00018 -- /usr/local/lib/python3.9/logging/__init__.py:787:filter (filter)
    filter                                                   --     12     12 -- 0.00002 0.00002 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sphinx/util/logging.py:351:filter (filter)
    filter                                                   --      6      6 -- 0.00005 0.00007 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sphinx/util/logging.py:488:filter (filter)
        <built-in method builtins.isinstance>                --     18     18 -- 0.00001 0.00001 -- ~:0:<built-in method builtins.isinstance> (<built-in method builtins.isinstance>) +++
    <built-in method builtins.hasattr>                       --     18     18 -- 0.00002 0.00002 -- ~:0:<built-in method builtins.hasattr> (<built-in method builtins.hasattr>) +++
acquire                                                      --     30     30 -- 0.00007 0.00012 -- /usr/local/lib/python3.9/logging/__init__.py:892:acquire (acquire)
    <method 'acquire' of '_thread.RLock' objects>            --     30     30 -- 0.00004 0.00004 -- ~:0:<method 'acquire' of '_thread.RLock' objects> (<method 'acquire' of '_thread.RLock' objects>)
release                                                      --     30     30 -- 0.00006 0.00008 -- /usr/local/lib/python3.9/logging/__init__.py:899:release (release)
    <method 'release' of '_thread.RLock' objects>            --     30     30 -- 0.00002 0.00002 -- ~:0:<method 'release' of '_thread.RLock' objects> (<method 'release' of '_thread.RLock' objects>)
emit                                                         --     12     12 -- 0.00011 0.00116 -- /usr/local/lib/python3.9/logging/__init__.py:1067:emit (emit)
    format                                                   --     12     12 -- 0.00004 0.00060 -- /usr/local/lib/python3.9/logging/__init__.py:912:format (format)
        format                                               --     12     12 -- 0.00010 0.00056 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sphinx/util/logging.py:533:format (format)
            format                                           --     12     12 -- 0.00009 0.00041 -- /usr/local/lib/python3.9/logging/__init__.py:646:format (format)
                usesTime                                     --     12     12 -- 0.00003 0.00009 -- /usr/local/lib/python3.9/logging/__init__.py:624:usesTime (usesTime)
                    usesTime                                 --     12     12 -- 0.00004 0.00006 -- /usr/local/lib/python3.9/logging/__init__.py:417:usesTime (usesTime)
                        <method 'find' of 'str' objects>     --     12     12 -- 0.00002 0.00002 -- ~:0:<method 'find' of 'str' objects> (<method 'find' of 'str' objects>)
                formatMessage                                --     12     12 -- 0.00002 0.00009 -- /usr/local/lib/python3.9/logging/__init__.py:630:formatMessage (formatMessage)
                    format                                   --     12     12 -- 0.00002 0.00007 -- /usr/local/lib/python3.9/logging/__init__.py:428:format (format)
                        _format                              --     12     12 -- 0.00005 0.00005 -- /usr/local/lib/python3.9/logging/__init__.py:425:_format (_format)
                getMessage                                   --     12     12 -- 0.00007 0.00014 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sphinx/util/logging.py:96:getMessage (getMessage)
                    getMessage                               --     12     12 -- 0.00006 0.00006 -- /usr/local/lib/python3.9/logging/__init__.py:354:getMessage (getMessage)
                    <built-in method builtins.getattr>       --     12     12 -- 0.00001 0.00001 -- ~:0:<built-in method builtins.getattr> (<built-in method builtins.getattr>) +++
            colorize                                         --      2      2 -- 0.00002 0.00003 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sphinx/util/console.py:85:colorize (colorize)
                escseq                                       --      4      4 -- 0.00001 0.00001 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sphinx/util/console.py:86:escseq (escseq)
            <built-in method builtins.getattr>               --     12     12 -- 0.00001 0.00001 -- ~:0:<built-in method builtins.getattr> (<built-in method builtins.getattr>) +++
    flush                                                    --     12     12 -- 0.00007 0.00039 -- /usr/local/lib/python3.9/logging/__init__.py:1056:flush (flush)
        acquire                                              --     12     12 -- 0.00002 0.00004 -- /usr/local/lib/python3.9/logging/__init__.py:892:acquire (acquire) +++
        release                                              --     12     12 -- 0.00003 0.00004 -- /usr/local/lib/python3.9/logging/__init__.py:899:release (release) +++
        flush                                                --      6      6 -- 0.00002 0.00023 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sphinx/util/logging.py:559:flush (flush)
            <method 'flush' of '_io.TextIOWrapper' objects>  --      6      6 -- 0.00019 0.00019 -- ~:0:<method 'flush' of '_io.TextIOWrapper' objects> (<method 'flush' of '_io.TextIOWrapper' objects>)
        <built-in method builtins.hasattr>                   --     12     12 -- 0.00001 0.00001 -- ~:0:<built-in method builtins.hasattr> (<built-in method builtins.hasattr>) +++
    write                                                    --      6      6 -- 0.00002 0.00003 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sphinx/util/logging.py:551:write (write)
    write                                                    --      6      6 -- 0.00003 0.00003 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sphinx/util/logging.py:569:write (write)
isEnabledFor                                                 --     12     12 -- 0.00002 0.00002 -- /usr/local/lib/python3.9/logging/__init__.py:1677:isEnabledFor (isEnabledFor)
__init__                                                     --      2      2 -- 0.00001 0.00001 -- /usr/local/lib/python3.9/warnings.py:403:__init__ (__init__)
<lambda>                                                     --      1      1 -- 0.00001 19.57262 -- onnxcustom/onnxcustom_UT_39_std/_doc/examples/plot_orttraining_benchmark.py:124:<lambda> (<lambda>)
    benchmark                                                --      1      1 -- 0.00014 19.57262 -- onnxcustom/onnxcustom_UT_39_std/_doc/examples/plot_orttraining_benchmark.py:46:benchmark (benchmark)
        fit                                                  --      1      1 -- 0.00738 4.58801 -- onnxcustom/onnxcustom_UT_39_std/_doc/sphinxdoc/source/onnxcustom/training/optimizers.py:81:fit (fit)
            __init__                                         --      1      1 -- 0.00005 0.00011 -- onnxcustom/onnxcustom_UT_39_std/_doc/sphinxdoc/source/onnxcustom/training/data_loader.py:31:__init__ (__init__)
                get_ort_device                               --      1      1 -- 0.00000 0.00000 -- onnxruntime_helper.py:63:get_ort_device (get_ort_device)
                numpy_to_ort_value                           --      2      2 -- 0.00001 0.00004 -- onnxruntime_helper.py:134:numpy_to_ort_value (numpy_to_ort_value) +++
            <listcomp>                                       --      1      1 -- 0.00004 0.00004 -- onnxcustom/onnxcustom_UT_39_std/_doc/sphinxdoc/source/onnxcustom/training/optimizers.py:98:<listcomp> (<listcomp>)
            <listcomp>                                       --      1      1 -- 0.00001 0.00001 -- onnxcustom/onnxcustom_UT_39_std/_doc/sphinxdoc/source/onnxcustom/training/optimizers.py:133:<listcomp> (<listcomp>)
            <listcomp>                                       --      1      1 -- 0.00001 0.00001 -- onnxcustom/onnxcustom_UT_39_std/_doc/sphinxdoc/source/onnxcustom/training/optimizers.py:134:<listcomp> (<listcomp>)
            _iteration                                       --    100    100 -- 3.78227 4.55427 -- onnxcustom/onnxcustom_UT_39_std/_doc/sphinxdoc/source/onnxcustom/training/optimizers.py:205:_iteration (_iteration)
                iter_bind                                    --   6800   6800 -- 0.06630 0.72579 -- onnxcustom/onnxcustom_UT_39_std/_doc/sphinxdoc/source/onnxcustom/training/data_loader.py:188:iter_bind (iter_bind)
                    _next_iter                               --   6700   6700 -- 0.03244 0.34117 -- onnxcustom/onnxcustom_UT_39_std/_doc/sphinxdoc/source/onnxcustom/training/data_loader.py:98:_next_iter (_next_iter)
                        <method 'randint'...mState' objects> --   6700   6700 -- 0.29229 0.29229 -- ~:0:<method 'randint' of 'numpy.random.mtrand.RandomState' objects> (<method 'randint' of 'numpy.random.mtrand.RandomState' objects>)
                        <built-in method builtins.len>       --   6700   6700 -- 0.01014 0.01644 -- ~:0:<built-in method builtins.len> (<built-in method builtins.len>) +++
                    local_bind                               --   6700   6700 -- 0.28203 0.28203 -- onnxcustom/onnxcustom_UT_39_std/_doc/sphinxdoc/source/onnxcustom/training/data_loader.py:209:local_bind (local_bind)
                    <built-in method builtins.len>           --   7100   7100 -- 0.02181 0.03629 -- ~:0:<built-in method builtins.len> (<built-in method builtins.len>) +++
                _bind_input_ortvalue                         --    100    100 -- 0.00475 0.00556 -- onnxcustom/onnxcustom_UT_39_std/_doc/sphinxdoc/source/onnxcustom/training/optimizers.py:171:_bind_input_ortvalue (_bind_input_ortvalue)
                    proto_type_to_dtype                      --    100    100 -- 0.00064 0.00064 -- onnxcustom/onnxcustom_UT_39_std/_doc/sphinxdoc/source/onnxcustom/utils/onnx_helper.py:59:proto_type_to_dtype (proto_type_to_dtype)
                    <built-in method builtins.hasattr>       --    100    100 -- 0.00008 0.00008 -- ~:0:<built-in method builtins.hasattr> (<built-in method builtins.hasattr>) +++
                    <built-in method builtins.isinstance>    --    200    200 -- 0.00010 0.00010 -- ~:0:<built-in method builtins.isinstance> (<built-in method builtins.isinstance>) +++
                <method 'mean' of 'numpy.ndarray' objects>   --    100    100 -- 0.00074 0.01637 -- ~:0:<method 'mean' of 'numpy.ndarray' objects> (<method 'mean' of 'numpy.ndarray' objects>) +++
                <built-in method numpy.array>                --    100    100 -- 0.01669 0.01669 -- ~:0:<built-in method numpy.array> (<built-in method numpy.array>) +++
                <method 'append' of 'list' objects>          --   6700   6700 -- 0.00758 0.00758 -- ~:0:<method 'append' of 'list' objects> (<method 'append' of 'list' objects>) +++
            _create_training_session                         --      1      1 -- 0.00021 0.01745 -- onnxcustom/onnxcustom_UT_39_std/_doc/sphinxdoc/source/onnxcustom/training/optimizers.py:286:_create_training_session (_create_training_session)
                <dictcomp>                                   --      1      1 -- 0.00000 0.00000 -- onnxcustom/onnxcustom_UT_39_std/_doc/sphinxdoc/source/onnxcustom/training/optimizers.py:334:<dictcomp> (<dictcomp>)
                <dictcomp>                                   --      1      1 -- 0.00000 0.00000 -- onnxcustom/onnxcustom_UT_39_std/_doc/sphinxdoc/source/onnxcustom/training/optimizers.py:336:<dictcomp> (<dictcomp>)
                __init__                                     --      1      1 -- 0.01680 0.01690 -- onnxruntime/capi/training/training_session.py:15:__init__ (__init__)
                    check_and_normalize_provider_args        --      1      1 -- 0.00005 0.00009 -- onnxruntime/capi/onnxruntime_inference_collection.py:25:check_and_normalize_provider_args (check_and_normalize_provider_args)
                        set_provider_options                 --      1      1 -- 0.00002 0.00002 -- onnxruntime/capi/onnxruntime_inference_collection.py:53:set_provider_options (set_provider_options)
                            <dictcomp>                       --      1      1 -- 0.00000 0.00000 -- onnxruntime/capi/onnxruntime_inference_collection.py:62:<dictcomp> (<dictcomp>)
                    __init__                                 --      1      1 -- 0.00000 0.00000 -- onnxruntime/capi/onnxruntime_inference_collection.py:101:__init__ (__init__)
                device_to_providers                          --      1      1 -- 0.00002 0.00002 -- onnxruntime_helper.py:150:device_to_providers (device_to_providers)
                <method 'SerializeToS...e.CMessage' objects> --      1      1 -- 0.00031 0.00031 -- ~:0:<method 'SerializeToString' of 'google.protobuf.pyext._message.CMessage' objects> (<method 'SerializeToString' of 'google.protobuf.pyext._message.CMessage' objects>)
            get_state                                        --      1      1 -- 0.00001 0.00046 -- onnxcustom/onnxcustom_UT_39_std/_doc/sphinxdoc/source/onnxcustom/training/optimizers.py:351:get_state (get_state)
                get_state                                    --      1      1 -- 0.00045 0.00045 -- onnxruntime/capi/training/training_session.py:47:get_state (get_state) +++
            set_state                                        --      1      1 -- 0.00001 0.00009 -- onnxcustom/onnxcustom_UT_39_std/_doc/sphinxdoc/source/onnxcustom/training/optimizers.py:364:set_state (set_state)
                load_state                                   --      1      1 -- 0.00008 0.00008 -- onnxruntime/capi/training/training_session.py:59:load_state (load_state)
            value                                            --    101    101 -- 0.00013 0.00013 -- onnxcustom/onnxcustom_UT_39_std/_doc/sphinxdoc/source/onnxcustom/training/sgd_learning_rate.py:179:value (value)
            init_learning_rate                               --      1      1 -- 0.00001 0.00001 -- onnxcustom/onnxcustom_UT_39_std/_doc/sphinxdoc/source/onnxcustom/training/sgd_learning_rate.py:198:init_learning_rate (init_learning_rate)
            update_learning_rate                             --    100    100 -- 0.00340 0.00340 -- onnxcustom/onnxcustom_UT_39_std/_doc/sphinxdoc/source/onnxcustom/training/sgd_learning_rate.py:219:update_learning_rate (update_learning_rate)
            get_inputs                                       --      1      1 -- 0.00000 0.00000 -- onnxruntime/capi/onnxruntime_inference_collection.py:111:get_inputs (get_inputs)
            get_outputs                                      --      1      1 -- 0.00000 0.00000 -- onnxruntime/capi/onnxruntime_inference_collection.py:115:get_outputs (get_outputs)
            io_binding                                       --      1      1 -- 0.00000 0.00003 -- onnxruntime/capi/onnxruntime_inference_collection.py:265:io_binding (io_binding)
                __init__                                     --      1      1 -- 0.00002 0.00002 -- onnxruntime/capi/onnxruntime_inference_collection.py:414:__init__ (__init__)
            __del__                                          --      1      1 -- 0.00001 0.00001 -- onnxruntime/capi/training/training_session.py:43:__del__ (__del__)
            get_state                                        --      1      1 -- 0.00010 0.00010 -- onnxruntime/capi/training/training_session.py:47:get_state (get_state) +++
            numpy_to_ort_value                               --    100    100 -- 0.00052 0.00262 -- onnxruntime_helper.py:134:numpy_to_ort_value (numpy_to_ort_value) +++
            <method 'randn' of 'num....RandomState' objects> --      6      6 -- 0.00075 0.00075 -- ~:0:<method 'randn' of 'numpy.random.mtrand.RandomState' objects> (<method 'randn' of 'numpy.random.mtrand.RandomState' objects>)
            <built-in method numpy.array>                    --    100    100 -- 0.00099 0.00099 -- ~:0:<built-in method numpy.array> (<built-in method numpy.array>) +++
            <method 'append' of 'list' objects>              --    100    100 -- 0.00008 0.00008 -- ~:0:<method 'append' of 'list' objects> (<method 'append' of 'list' objects>) +++
        fit                                                  --      1      1 -- 0.00002 14.98214 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:735:fit (fit)
            _fit                                             --      1      1 -- 0.00014 14.98212 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:376:_fit (_fit)
                any                                          --      1      1 -- 0.00001 0.00011 -- <__array_function__ internals>:177:any (any)
                    _any_dispatcher                          --      1      1 -- 0.00000 0.00000 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/fromnumeric.py:2300:_any_dispatcher (_any_dispatcher)
                _initialize                                  --      1      1 -- 0.00006 0.00066 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:319:_initialize (_initialize)
                    is_classifier                            --      1      1 -- 0.00000 0.00000 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/base.py:960:is_classifier (is_classifier)
                    _init_coef                               --      3      3 -- 0.00011 0.00059 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:359:_init_coef (_init_coef)
                        <method 'uniform'...mState' objects> --      6      6 -- 0.00041 0.00041 -- ~:0:<method 'uniform' of 'numpy.random.mtrand.RandomState' objects> (<method 'uniform' of 'numpy.random.mtrand.RandomState' objects>)
                <listcomp>                                   --      1      1 -- 0.00001 0.00003 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:416:<listcomp> (<listcomp>)
                <listcomp>                                   --      1      1 -- 0.00001 0.00003 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:421:<listcomp> (<listcomp>)
                _validate_hyperparameters                    --      1      1 -- 0.00002 0.00002 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:445:_validate_hyperparameters (_validate_hyperparameters)
                _fit_stochastic                              --      1      1 -- 0.37694 14.97972 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:553:_fit_stochastic (_fit_stochastic)
                    clip                                     --      1      1 -- 0.00001 0.00021 -- <__array_function__ internals>:177:clip (clip)
                        _clip_dispatcher                     --      1      1 -- 0.00000 0.00000 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/fromnumeric.py:2079:_clip_dispatcher (_clip_dispatcher)
                        <built-in method ..._array_function> --      1      1 -- 0.00000 0.00020 -- ~:0:<built-in method numpy.core._multiarray_umath.implement_array_function> (<built-in method numpy.core._multiarray_umath.implement_array_function>) +++
                    _backprop                                --   6700   6700 -- 0.81675 10.42529 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:240:_backprop (_backprop)
                        dot                                  --  20100  20100 -- 0.09209 0.39213 -- <__array_function__ internals>:177:dot (dot)
                            dot                              --  20100  20100 -- 0.01658 0.01658 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/multiarray.py:736:dot (dot)
                            <built-in metho...rray_function> --  20100  20100 -- 0.28346 0.28346 -- ~:0:<built-in method numpy.core._multiarray_umath.implement_array_function> (<built-in method numpy.core._multiarray_umath.implement_array_function>) +++
                        inplace_relu_derivative              --  13400  13400 -- 0.57196 0.57196 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_base.py:132:inplace_relu_derivative (inplace_relu_derivative)
                        squared_loss                         --   6700   6700 -- 0.34037 1.20119 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_base.py:158:squared_loss (squared_loss)
                            <method 'mean' ...rray' objects> --   6700   6700 -- 0.03881 0.86082 -- ~:0:<method 'mean' of 'numpy.ndarray' objects> (<method 'mean' of 'numpy.ndarray' objects>) +++
                        _forward_pass                        --   6700   6700 -- 0.66462 2.03266 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:118:_forward_pass (_forward_pass)
                            inplace_identity                 --   6700   6700 -- 0.00602 0.00602 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_base.py:13:inplace_identity (inplace_identity)
                            inplace_relu                     --  13400  13400 -- 0.45608 0.45608 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_base.py:47:inplace_relu (inplace_relu)
                            safe_sparse_dot                  --  20100  20100 -- 0.84659 0.90593 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/extmath.py:120:safe_sparse_dot (safe_sparse_dot) +++
                        _compute_loss_grad                   --  20100  20100 -- 1.74212 4.93465 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:176:_compute_loss_grad (_compute_loss_grad)
                            mean                             --  20100  20100 -- 0.09682 2.25820 -- <__array_function__ internals>:177:mean (mean)
                                _mean_dispatcher             --  20100  20100 -- 0.01893 0.01893 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/fromnumeric.py:3351:_mean_dispatcher (_mean_dispatcher)
                                <built-in met...ay_function> --  20100  20100 -- 0.09205 2.14244 -- ~:0:<built-in method numpy.core._multiarray_umath.implement_array_function> (<built-in method numpy.core._multiarray_umath.implement_array_function>) +++
                            safe_sparse_dot                  --  20100  20100 -- 0.87506 0.93432 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/extmath.py:120:safe_sparse_dot (safe_sparse_dot) +++
                        safe_sparse_dot                      --  13400  13400 -- 0.39129 0.43064 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/extmath.py:120:safe_sparse_dot (safe_sparse_dot) +++
                        <method 'ravel' o...darray' objects> --  20100  20100 -- 0.04530 0.04530 -- ~:0:<method 'ravel' of 'numpy.ndarray' objects> (<method 'ravel' of 'numpy.ndarray' objects>)
                    _update_no_improvement_count             --    100    100 -- 0.00084 0.00084 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:706:_update_no_improvement_count (_update_no_improvement_count)
                    update_params                            --   6700   6700 -- 0.60641 2.72218 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_stochastic_optimizers.py:29:update_params (update_params)
                        <genexpr>                            --  46900  46900 -- 0.04460 0.04460 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_stochastic_optimizers.py:43:<genexpr> (<genexpr>)
                        _get_updates                         --   6700   6700 -- 0.08999 2.07117 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_stochastic_optimizers.py:169:_get_updates (_get_updates)
                            <listcomp>                       --   6700   6700 -- 1.98119 1.98119 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_stochastic_optimizers.py:183:<listcomp> (<listcomp>)
                    __init__                                 --      1      1 -- 0.00001 0.00042 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_stochastic_optimizers.py:121:__init__ (__init__)
                        __init__                             --      1      1 -- 0.00001 0.00001 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_stochastic_optimizers.py:25:__init__ (__init__)
                        <listcomp>                           --      1      1 -- 0.00003 0.00039 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_stochastic_optimizers.py:136:<listcomp> (<listcomp>)
                            zeros_like                       --      6      6 -- 0.00002 0.00037 -- <__array_function__ internals>:177:zeros_like (zeros_like)
                                _zeros_like_dispatcher       --      6      6 -- 0.00000 0.00000 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/numeric.py:72:_zeros_like_dispatcher (_zeros_like_dispatcher)
                                <built-in met...ay_function> --      6      6 -- 0.00003 0.00034 -- ~:0:<built-in method numpy.core._multiarray_umath.implement_array_function> (<built-in method numpy.core._multiarray_umath.implement_array_function>) +++
                    iteration_ends                           --    100    100 -- 0.00143 0.00143 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_stochastic_optimizers.py:138:iteration_ends (iteration_ends)
                    _safe_indexing                           --   6700   6700 -- 0.07034 1.33435 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/__init__.py:307:_safe_indexing (_safe_indexing) +++
                    shuffle                                  --    100    100 -- 0.00122 0.05371 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/__init__.py:602:shuffle (shuffle)
                        resample                             --    100    100 -- 0.00313 0.05248 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/__init__.py:452:resample (resample)
                            <listcomp>                       --    100    100 -- 0.00039 0.00073 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/__init__.py:593:<listcomp> (<listcomp>)
                                isspmatrix                   --    100    100 -- 0.00016 0.00034 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/scipy/sparse/base.py:1205:isspmatrix (isspmatrix) +++
                            <listcomp>                       --    100    100 -- 0.00036 0.01966 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/__init__.py:594:<listcomp> (<listcomp>)
                                _safe_indexing               --    100    100 -- 0.00094 0.01930 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/__init__.py:307:_safe_indexing (_safe_indexing) +++
                            check_consistent_length          --    100    100 -- 0.00121 0.01698 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/validation.py:318:check_consistent_length (check_consistent_length) +++
                            check_random_state               --    100    100 -- 0.00069 0.00216 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/validation.py:1043:check_random_state (check_random_state) +++
                            <method 'shuffl...tate' objects> --    100    100 -- 0.00767 0.00767 -- ~:0:<method 'shuffle' of 'numpy.random.mtrand.RandomState' objects> (<method 'shuffle' of 'numpy.random.mtrand.RandomState' objects>)
                            <built-in method numpy.arange>   --    100    100 -- 0.00177 0.00177 -- ~:0:<built-in method numpy.arange> (<built-in method numpy.arange>) +++
                            <built-in metho...ltins.hasattr> --    100    100 -- 0.00022 0.00022 -- ~:0:<built-in method builtins.hasattr> (<built-in method builtins.hasattr>) +++
                            <built-in method builtins.len>   --    200    200 -- 0.00017 0.00017 -- ~:0:<built-in method builtins.len> (<built-in method builtins.len>) +++
                    gen_batches                              --   6800   6800 -- 0.06217 0.06303 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/__init__.py:712:gen_batches (gen_batches)
                        <built-in method ...tins.isinstance> --    100    100 -- 0.00034 0.00086 -- ~:0:<built-in method builtins.isinstance> (<built-in method builtins.isinstance>) +++
                    <method 'append' of 'list' objects>      --    100    100 -- 0.00013 0.00013 -- ~:0:<method 'append' of 'list' objects> (<method 'append' of 'list' objects>) +++
                    <built-in method _warnings.warn>         --      1      1 -- 0.00007 0.00118 -- ~:0:<built-in method _warnings.warn> (<built-in method _warnings.warn>)
                        _showwarnmsg                         --      1      1 -- 0.00001 0.00110 -- /usr/local/lib/python3.9/warnings.py:96:_showwarnmsg (_showwarnmsg)
                            _showwarning                     --      1      1 -- 0.00001 0.00108 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sphinx_gallery/gen_rst.py:473:_showwarning (_showwarning)
                                formatwarning                --      1      1 -- 0.00001 0.00006 -- /usr/local/lib/python3.9/warnings.py:15:formatwarning (formatwarning)
                                    _formatwarnmsg_impl      --      1      1 -- 0.00003 0.00005 -- /usr/local/lib/python3.9/warnings.py:35:_formatwarnmsg_impl (_formatwarnmsg_impl)
                                        getline              --      1      1 -- 0.00001 0.00001 -- /usr/local/lib/python3.9/linecache.py:26:getline (getline)
                                            getlines         --      1      1 -- 0.00000 0.00001 -- /usr/local/lib/python3.9/linecache.py:36:getlines (getlines)
                                    __init__                 --      1      1 -- 0.00000 0.00000 -- /usr/local/lib/python3.9/warnings.py:403:__init__ (__init__) +++
                                write                        --      1      1 -- 0.00002 0.00101 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sphinx_gallery/gen_rst.py:81:write (write) +++
                        __init__                             --      1      1 -- 0.00001 0.00001 -- /usr/local/lib/python3.9/warnings.py:403:__init__ (__init__) +++
                _validate_input                              --      1      1 -- 0.00002 0.00138 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:1588:_validate_input (_validate_input)
                    _validate_data                           --      1      1 -- 0.00003 0.00136 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/base.py:495:_validate_data (_validate_data)
                        _check_n_features                    --      1      1 -- 0.00001 0.00002 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/base.py:359:_check_n_features (_check_n_features)
                            _num_features                    --      1      1 -- 0.00001 0.00002 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/validation.py:201:_num_features (_num_features)
                        _check_feature_names                 --      1      1 -- 0.00000 0.00001 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/base.py:405:_check_feature_names (_check_feature_names)
                            _get_feature_names               --      1      1 -- 0.00000 0.00000 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/validation.py:1653:_get_feature_names (_get_feature_names)
                        check_X_y                            --      1      1 -- 0.00001 0.00130 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/validation.py:845:check_X_y (check_X_y)
                            check_consistent_length          --      1      1 -- 0.00001 0.00021 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/validation.py:318:check_consistent_length (check_consistent_length) +++
                            check_array                      --      1      1 -- 0.00006 0.00073 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/validation.py:494:check_array (check_array) +++
                            _check_y                         --      1      1 -- 0.00001 0.00035 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/validation.py:986:_check_y (_check_y)
                                check_array                  --      1      1 -- 0.00004 0.00034 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/validation.py:494:check_array (check_array) +++
                check_random_state                           --      1      1 -- 0.00001 0.00001 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/validation.py:1043:check_random_state (check_random_state) +++
        <built-in method builtins.print>                     --      3      3 -- 0.00004 0.00232 -- ~:0:<built-in method builtins.print> (<built-in method builtins.print>)
            write                                            --      6      6 -- 0.00010 0.00228 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sphinx_gallery/gen_rst.py:81:write (write) +++
_mean                                                        --  26900  26900 -- 1.33237 2.67962 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/_methods.py:162:_mean (_mean)
    _count_reduce_items                                      --  26900  26900 -- 0.51683 0.59027 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/_methods.py:66:_count_reduce_items (_count_reduce_items)
        <built-in method numpy.co...th.normalize_axis_index> --  33800  33800 -- 0.04766 0.04766 -- ~:0:<built-in method numpy.core._multiarray_umath.normalize_axis_index> (<built-in method numpy.core._multiarray_umath.normalize_axis_index>)
        <built-in method builtins.isinstance>                --  20100  20100 -- 0.02578 0.02578 -- ~:0:<built-in method builtins.isinstance> (<built-in method builtins.isinstance>) +++
    <built-in method numpy.asanyarray>                       --  26900  26900 -- 0.01979 0.01979 -- ~:0:<built-in method numpy.asanyarray> (<built-in method numpy.asanyarray>) +++
    <method 'reduce' of 'numpy.ufunc' objects>               --  26900  26900 -- 0.65483 0.65483 -- ~:0:<method 'reduce' of 'numpy.ufunc' objects> (<method 'reduce' of 'numpy.ufunc' objects>) +++
    <built-in method builtins.hasattr>                       --   6800   6800 -- 0.01131 0.01131 -- ~:0:<built-in method builtins.hasattr> (<built-in method builtins.hasattr>) +++
    <built-in method builtins.isinstance>                    --  26900  26900 -- 0.02539 0.02539 -- ~:0:<built-in method builtins.isinstance> (<built-in method builtins.isinstance>) +++
    <built-in method builtins.issubclass>                    --  53800  53800 -- 0.04565 0.04565 -- ~:0:<built-in method builtins.issubclass> (<built-in method builtins.issubclass>) +++
_wrapreduction                                               --      3      3 -- 0.00005 0.00049 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/fromnumeric.py:69:_wrapreduction (_wrapreduction)
    <dictcomp>                                               --      3      3 -- 0.00001 0.00001 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/fromnumeric.py:70:<dictcomp> (<dictcomp>)
    <method 'reduce' of 'numpy.ufunc' objects>               --      3      3 -- 0.00043 0.00043 -- ~:0:<method 'reduce' of 'numpy.ufunc' objects> (<method 'reduce' of 'numpy.ufunc' objects>) +++
isspmatrix                                                   --  60502  60502 -- 0.09714 0.17517 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/scipy/sparse/base.py:1205:isspmatrix (isspmatrix)
    <built-in method builtins.isinstance>                    --  60502  60502 -- 0.07803 0.07803 -- ~:0:<built-in method builtins.isinstance> (<built-in method builtins.isinstance>) +++
_safe_indexing                                               --   6800   6800 -- 0.07128 1.35365 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/__init__.py:307:_safe_indexing (_safe_indexing)
    _array_indexing                                          --   6800   6800 -- 0.26653 1.10111 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/__init__.py:193:_array_indexing (_array_indexing)
        isspmatrix                                           --   6800   6800 -- 0.00941 0.01686 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/scipy/sparse/base.py:1205:isspmatrix (isspmatrix) +++
        parse                                                --   6800   6800 -- 0.03635 0.78499 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/externals/_packaging/version.py:65:parse (parse)
            __init__                                         --   6800   6800 -- 0.31556 0.74864 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/externals/_packaging/version.py:284:__init__ (__init__)
                <lambda>                                     --   6800   6800 -- 0.01674 0.03218 -- <string>:1:<lambda> (<lambda>)
                    <built-in method __...at 0x7fbeadadf960> --   6800   6800 -- 0.01544 0.01544 -- ~:0:<built-in method __new__ of type object at 0x7fbeadadf960> (<built-in method __new__ of type object at 0x7fbeadadf960>)
                <genexpr>                                    --  20400  20400 -- 0.04900 0.04900 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/externals/_packaging/version.py:294:<genexpr> (<genexpr>)
                _parse_letter_version                        --  20400  20400 -- 0.01832 0.01832 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/externals/_packaging/version.py:416:_parse_letter_version (_parse_letter_version)
                _parse_local_version                         --   6800   6800 -- 0.00423 0.00423 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/externals/_packaging/version.py:455:_parse_local_version (_parse_local_version)
                _cmpkey                                      --   6800   6800 -- 0.10841 0.11526 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/externals/_packaging/version.py:467:_cmpkey (_cmpkey)
                    <lambda>                                 --   6800   6800 -- 0.00685 0.00685 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/externals/_packaging/version.py:482:<lambda> (<lambda>)
                <method 'split' of 'str' objects>            --   6800   6800 -- 0.01687 0.01687 -- ~:0:<method 'split' of 'str' objects> (<method 'split' of 'str' objects>)
                <method 'group' of 're.Match' objects>       --  68000  68000 -- 0.07365 0.07365 -- ~:0:<method 'group' of 're.Match' objects> (<method 'group' of 're.Match' objects>)
                <method 'search' of 're.Pattern' objects>    --   6800   6800 -- 0.12356 0.12356 -- ~:0:<method 'search' of 're.Pattern' objects> (<method 'search' of 're.Pattern' objects>)
        __lt__                                               --   6800   6800 -- 0.02307 0.02889 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/externals/_packaging/version.py:92:__lt__ (__lt__)
            <built-in method builtins.isinstance>            --   6800   6800 -- 0.00582 0.00582 -- ~:0:<built-in method builtins.isinstance> (<built-in method builtins.isinstance>) +++
        <built-in method builtins.isinstance>                --   6800   6800 -- 0.00383 0.00383 -- ~:0:<built-in method builtins.isinstance> (<built-in method builtins.isinstance>) +++
    _determine_key_type                                      --   6800   6800 -- 0.12572 0.16314 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/__init__.py:237:_determine_key_type (_determine_key_type)
        <method 'keys' of 'dict' objects>                    --   6800   6800 -- 0.00783 0.00783 -- ~:0:<method 'keys' of 'dict' objects> (<method 'keys' of 'dict' objects>)
        <built-in method builtins.hasattr>                   --   6800   6800 -- 0.00624 0.00624 -- ~:0:<built-in method builtins.hasattr> (<built-in method builtins.hasattr>) +++
        <built-in method builtins.isinstance>                --  20400  20400 -- 0.02336 0.02336 -- ~:0:<built-in method builtins.isinstance> (<built-in method builtins.isinstance>) +++
    <built-in method builtins.hasattr>                       --  13600  13600 -- 0.01812 0.01812 -- ~:0:<built-in method builtins.hasattr> (<built-in method builtins.hasattr>) +++
safe_sparse_dot                                              --  53600  53600 -- 2.11294 2.27090 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/extmath.py:120:safe_sparse_dot (safe_sparse_dot)
    isspmatrix                                               --  53600  53600 -- 0.08757 0.15796 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/scipy/sparse/base.py:1205:isspmatrix (isspmatrix) +++
_num_samples                                                 --    104    104 -- 0.00230 0.00442 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/validation.py:254:_num_samples (_num_samples)
    <built-in method builtins.hasattr>                       --    312    312 -- 0.00049 0.00049 -- ~:0:<built-in method builtins.hasattr> (<built-in method builtins.hasattr>) +++
    <built-in method builtins.isinstance>                    --    104    104 -- 0.00031 0.00157 -- ~:0:<built-in method builtins.isinstance> (<built-in method builtins.isinstance>) +++
    <built-in method builtins.len>                           --    104    104 -- 0.00006 0.00006 -- ~:0:<built-in method builtins.len> (<built-in method builtins.len>) +++
check_consistent_length                                      --    101    101 -- 0.00122 0.01719 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/validation.py:318:check_consistent_length (check_consistent_length)
    unique                                                   --    101    101 -- 0.00053 0.01116 -- <__array_function__ internals>:177:unique (unique)
        _unique_dispatcher                                   --    101    101 -- 0.00010 0.00010 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/lib/arraysetops.py:133:_unique_dispatcher (_unique_dispatcher)
        <built-in method numpy.co...mplement_array_function> --    101    101 -- 0.00077 0.01053 -- ~:0:<built-in method numpy.core._multiarray_umath.implement_array_function> (<built-in method numpy.core._multiarray_umath.implement_array_function>) +++
    <listcomp>                                               --    101    101 -- 0.00040 0.00473 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/validation.py:329:<listcomp> (<listcomp>)
        _num_samples                                         --    102    102 -- 0.00226 0.00433 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/validation.py:254:_num_samples (_num_samples) +++
    <built-in method builtins.len>                           --    101    101 -- 0.00007 0.00007 -- ~:0:<built-in method builtins.len> (<built-in method builtins.len>) +++
check_array                                                  --      2      2 -- 0.00010 0.00107 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/validation.py:494:check_array (check_array)
    simplefilter                                             --      2      2 -- 0.00001 0.00007 -- /usr/local/lib/python3.9/warnings.py:165:simplefilter (simplefilter)
        _add_filter                                          --      2      2 -- 0.00003 0.00005 -- /usr/local/lib/python3.9/warnings.py:181:_add_filter (_add_filter)
    __init__                                                 --      2      2 -- 0.00001 0.00001 -- /usr/local/lib/python3.9/warnings.py:437:__init__ (__init__)
    __enter__                                                --      2      2 -- 0.00003 0.00003 -- /usr/local/lib/python3.9/warnings.py:458:__enter__ (__enter__)
    __exit__                                                 --      2      2 -- 0.00001 0.00001 -- /usr/local/lib/python3.9/warnings.py:477:__exit__ (__exit__)
    isspmatrix                                               --      2      2 -- 0.00000 0.00000 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/scipy/sparse/base.py:1205:isspmatrix (isspmatrix) +++
    _assert_all_finite                                       --      2      2 -- 0.00012 0.00071 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/validation.py:90:_assert_all_finite (_assert_all_finite)
        get_config                                           --      2      2 -- 0.00001 0.00003 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/_config.py:24:get_config (get_config)
            _get_threadlocal_config                          --      2      2 -- 0.00000 0.00001 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/_config.py:16:_get_threadlocal_config (_get_threadlocal_config)
        _safe_accumulator_op                                 --      2      2 -- 0.00003 0.00054 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/extmath.py:869:_safe_accumulator_op (_safe_accumulator_op)
            sum                                              --      2      2 -- 0.00001 0.00047 -- <__array_function__ internals>:177:sum (sum)
                _sum_dispatcher                              --      2      2 -- 0.00000 0.00000 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/fromnumeric.py:2155:_sum_dispatcher (_sum_dispatcher)
                <built-in method nump...ment_array_function> --      2      2 -- 0.00001 0.00046 -- ~:0:<built-in method numpy.core._multiarray_umath.implement_array_function> (<built-in method numpy.core._multiarray_umath.implement_array_function>) +++
            issubdtype                                       --      2      2 -- 0.00002 0.00004 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/numerictypes.py:356:issubdtype (issubdtype)
                issubclass_                                  --      4      4 -- 0.00002 0.00002 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/numerictypes.py:282:issubclass_ (issubclass_)
    _num_samples                                             --      2      2 -- 0.00004 0.00009 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/validation.py:254:_num_samples (_num_samples) +++
    _ensure_no_complex_data                                  --      2      2 -- 0.00001 0.00001 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/validation.py:484:_ensure_no_complex_data (_ensure_no_complex_data)
check_random_state                                           --    101    101 -- 0.00070 0.00217 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/utils/validation.py:1043:check_random_state (check_random_state)
    <built-in method builtins.isinstance>                    --    200    200 -- 0.00060 0.00147 -- ~:0:<built-in method builtins.isinstance> (<built-in method builtins.isinstance>) +++
write                                                        --      7      7 -- 0.00012 0.00329 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sphinx_gallery/gen_rst.py:81:write (write)
    verbose                                                  --      6      6 -- 0.00005 0.00315 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sphinx/util/logging.py:128:verbose (verbose)
        log                                                  --      6      6 -- 0.00008 0.00309 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sphinx/util/logging.py:121:log (log)
            log                                              --      6      6 -- 0.00009 0.00301 -- /usr/local/lib/python3.9/logging/__init__.py:1825:log (log)
                log                                          --      6      6 -- 0.00008 0.00283 -- /usr/local/lib/python3.9/logging/__init__.py:1485:log (log)
                    _log                                     --      6      6 -- 0.00006 0.00274 -- /usr/local/lib/python3.9/logging/__init__.py:1553:_log (_log)
                        findCaller                           --      6      6 -- 0.00010 0.00016 -- /usr/local/lib/python3.9/logging/__init__.py:1502:findCaller (findCaller)
                            <lambda>                         --      6      6 -- 0.00002 0.00003 -- /usr/local/lib/python3.9/logging/__init__.py:156:<lambda> (<lambda>)
                            normcase                         --     12     12 -- 0.00002 0.00003 -- /usr/local/lib/python3.9/posixpath.py:52:normcase (normcase)
                                <built-in met...osix.fspath> --     12     12 -- 0.00001 0.00001 -- ~:0:<built-in method posix.fspath> (<built-in method posix.fspath>) +++
                            <built-in metho...ltins.hasattr> --     12     12 -- 0.00001 0.00001 -- ~:0:<built-in method builtins.hasattr> (<built-in method builtins.hasattr>) +++
                        makeRecord                           --      6      6 -- 0.00006 0.00080 -- /usr/local/lib/python3.9/logging/__init__.py:1538:makeRecord (makeRecord)
                            __init__                         --      6      6 -- 0.00032 0.00074 -- /usr/local/lib/python3.9/logging/__init__.py:278:__init__ (__init__)
                                getLevelName                 --      6      6 -- 0.00005 0.00006 -- /usr/local/lib/python3.9/logging/__init__.py:119:getLevelName (getLevelName)
                                    <method 'ge...' objects> --     12     12 -- 0.00001 0.00001 -- ~:0:<method 'get' of 'dict' objects> (<method 'get' of 'dict' objects>) +++
                                current_process              --      6      6 -- 0.00001 0.00001 -- /usr/local/lib/python3.9/multiprocessing/process.py:37:current_process (current_process)
                                name                         --      6      6 -- 0.00001 0.00001 -- /usr/local/lib/python3.9/multiprocessing/process.py:189:name (name)
                                splitext                     --      6      6 -- 0.00003 0.00010 -- /usr/local/lib/python3.9/posixpath.py:117:splitext (splitext)
                                    _splitext                --      6      6 -- 0.00005 0.00006 -- /usr/local/lib/python3.9/genericpath.py:121:_splitext (_splitext)
                                        <method '...objects> --     12     12 -- 0.00002 0.00002 -- ~:0:<method 'rfind' of 'str' objects> (<method 'rfind' of 'str' objects>) +++
                                basename                     --      6      6 -- 0.00005 0.00009 -- /usr/local/lib/python3.9/posixpath.py:140:basename (basename)
                                    _get_sep                 --      6      6 -- 0.00001 0.00002 -- /usr/local/lib/python3.9/posixpath.py:41:_get_sep (_get_sep)
                                name                         --      6      6 -- 0.00001 0.00001 -- /usr/local/lib/python3.9/threading.py:1053:name (name)
                                current_thread               --      6      6 -- 0.00002 0.00002 -- /usr/local/lib/python3.9/threading.py:1318:current_thread (current_thread)
                        handle                               --      6      6 -- 0.00003 0.00171 -- /usr/local/lib/python3.9/logging/__init__.py:1579:handle (handle)
                            filter                           --      6      6 -- 0.00001 0.00001 -- /usr/local/lib/python3.9/logging/__init__.py:787:filter (filter) +++
                            callHandlers                     --      6      6 -- 0.00007 0.00168 -- /usr/local/lib/python3.9/logging/__init__.py:1633:callHandlers (callHandlers)
                                handle                       --     12     12 -- 0.00008 0.00161 -- /usr/local/lib/python3.9/logging/__init__.py:935:handle (handle)
                                    filter                   --     12     12 -- 0.00007 0.00018 -- /usr/local/lib/python3.9/logging/__init__.py:787:filter (filter) +++
                                    acquire                  --     12     12 -- 0.00004 0.00006 -- /usr/local/lib/python3.9/logging/__init__.py:892:acquire (acquire) +++
                                    release                  --     12     12 -- 0.00002 0.00003 -- /usr/local/lib/python3.9/logging/__init__.py:899:release (release) +++
                                    emit                     --      6      6 -- 0.00004 0.00041 -- /usr/local/lib/python3.9/logging/__init__.py:1067:emit (emit) +++
                                    emit                     --      6      6 -- 0.00006 0.00086 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sphinx/util/logging.py:151:emit (emit)
                                        acquire              --      6      6 -- 0.00001 0.00002 -- /usr/local/lib/python3.9/logging/__init__.py:892:acquire (acquire) +++
                                        release              --      6      6 -- 0.00001 0.00002 -- /usr/local/lib/python3.9/logging/__init__.py:899:release (release) +++
                                        emit                 --      6      6 -- 0.00007 0.00075 -- /usr/local/lib/python3.9/logging/__init__.py:1067:emit (emit) +++
                    isEnabledFor                             --      6      6 -- 0.00001 0.00001 -- /usr/local/lib/python3.9/logging/__init__.py:1677:isEnabledFor (isEnabledFor) +++
                isEnabledFor                                 --      6      6 -- 0.00002 0.00003 -- /usr/local/lib/python3.9/logging/__init__.py:1834:isEnabledFor (isEnabledFor)
                    isEnabledFor                             --      6      6 -- 0.00002 0.00002 -- /usr/local/lib/python3.9/logging/__init__.py:1677:isEnabledFor (isEnabledFor) +++
                process                                      --      6      6 -- 0.00005 0.00006 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sphinx/util/logging.py:131:process (process)
get_state                                                    --      2      2 -- 0.00054 0.00054 -- onnxruntime/capi/training/training_session.py:47:get_state (get_state)
numpy_to_ort_value                                           --    102    102 -- 0.00053 0.00266 -- onnxruntime_helper.py:134:numpy_to_ort_value (numpy_to_ort_value)
    <built-in method onnxruntim...state.ortvalue_from_numpy> --    102    102 -- 0.00213 0.00213 -- ~:0:<built-in method onnxruntime.capi.onnxruntime_pybind11_state.ortvalue_from_numpy> (<built-in method onnxruntime.capi.onnxruntime_pybind11_state.ortvalue_from_numpy>)
<built-in method builtins.len>                               --  14329  14329 -- 0.03235 0.05313 -- ~:0:<built-in method builtins.len> (<built-in method builtins.len>)
    __len__                                                  --  13600  13600 -- 0.02079 0.02079 -- onnxcustom/onnxcustom_UT_39_std/_doc/sphinxdoc/source/onnxcustom/training/data_loader.py:94:__len__ (__len__)
<method 'astype' of 'numpy.ndarray' objects>                 --     12     12 -- 0.00013 0.00013 -- ~:0:<method 'astype' of 'numpy.ndarray' objects> (<method 'astype' of 'numpy.ndarray' objects>)
<built-in method numpy.array>                                --    201    201 -- 0.01770 0.01770 -- ~:0:<built-in method numpy.array> (<built-in method numpy.array>)
<method 'append' of 'list' objects>                          --   6906   6906 -- 0.00780 0.00780 -- ~:0:<method 'append' of 'list' objects> (<method 'append' of 'list' objects>)
<built-in method builtins.hasattr>                           --  27787  27787 -- 0.03654 0.03654 -- ~:0:<built-in method builtins.hasattr> (<built-in method builtins.hasattr>)
<method 'mean' of 'numpy.ndarray' objects>                   --   6800   6800 -- 0.03955 0.87719 -- ~:0:<method 'mean' of 'numpy.ndarray' objects> (<method 'mean' of 'numpy.ndarray' objects>)
    _mean                                                    --   6800   6800 -- 0.41689 0.83764 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/_methods.py:162:_mean (_mean) +++
<built-in method numpy.empty>                                --    107    107 -- 0.00067 0.00067 -- ~:0:<built-in method numpy.empty> (<built-in method numpy.empty>)
<built-in method builtins.isinstance>                        --  142177  142177 -- 0.16364 0.16634 -- ~:0:<built-in method builtins.isinstance> (<built-in method builtins.isinstance>)
    __instancecheck__                                        --    311    311 -- 0.00045 0.00271 -- /usr/local/lib/python3.9/abc.py:96:__instancecheck__ (__instancecheck__)
        <built-in method _abc._abc_instancecheck>            --    311    311 -- 0.00161 0.00225 -- ~:0:<built-in method _abc._abc_instancecheck> (<built-in method _abc._abc_instancecheck>)
            __subclasscheck__                                --    104    104 -- 0.00018 0.00064 -- /usr/local/lib/python3.9/abc.py:100:__subclasscheck__ (__subclasscheck__)
                <built-in method _abc._abc_subclasscheck>    --    104    104 -- 0.00046 0.00046 -- ~:0:<built-in method _abc._abc_subclasscheck> (<built-in method _abc._abc_subclasscheck>)
<built-in method numpy.arange>                               --    101    101 -- 0.00178 0.00178 -- ~:0:<built-in method numpy.arange> (<built-in method numpy.arange>)
<built-in method numpy.core._...th.implement_array_function> --  40311  40325 -- 0.37646 2.43752 -- ~:0:<built-in method numpy.core._multiarray_umath.implement_array_function> (<built-in method numpy.core._multiarray_umath.implement_array_function>)
    clip                                                     --      1      1 -- 0.00001 0.00020 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/fromnumeric.py:2083:clip (clip)
        _wrapfunc                                            --      1      1 -- 0.00001 0.00019 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/fromnumeric.py:51:_wrapfunc (_wrapfunc)
            _wrapit                                          --      1      1 -- 0.00002 0.00018 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/fromnumeric.py:38:_wrapit (_wrapit)
                <method 'clip' of 'numpy.ndarray' objects>   --      1      1 -- 0.00001 0.00015 -- ~:0:<method 'clip' of 'numpy.ndarray' objects> (<method 'clip' of 'numpy.ndarray' objects>)
                    _clip                                    --      1      1 -- 0.00002 0.00015 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/_methods.py:125:_clip (_clip)
                        _clip_dep_is_scalar_nan              --      2      2 -- 0.00006 0.00010 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/_methods.py:91:_clip_dep_is_scalar_nan (_clip_dep_is_scalar_nan)
                            ndim                             --      2      2 -- 0.00001 0.00004 -- <__array_function__ internals>:177:ndim (ndim)
                                _ndim_dispatcher             --      2      2 -- 0.00000 0.00000 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/fromnumeric.py:3160:_ndim_dispatcher (_ndim_dispatcher)
                        _clip_dep_is_byte_swapped            --      2      2 -- 0.00001 0.00001 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/_methods.py:101:_clip_dep_is_byte_swapped (_clip_dep_is_byte_swapped)
                        _clip_dep_invoke_with_casting        --      1      1 -- 0.00002 0.00002 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/_methods.py:106:_clip_dep_invoke_with_casting (_clip_dep_invoke_with_casting)
    sum                                                      --      2      2 -- 0.00002 0.00044 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/fromnumeric.py:2160:sum (sum)
        _wrapreduction                                       --      2      2 -- 0.00002 0.00042 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/fromnumeric.py:69:_wrapreduction (_wrapreduction) +++
    any                                                      --      1      1 -- 0.00001 0.00008 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/fromnumeric.py:2305:any (any)
        _wrapreduction                                       --      1      1 -- 0.00002 0.00007 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/fromnumeric.py:69:_wrapreduction (_wrapreduction) +++
    ndim                                                     --      2      2 -- 0.00002 0.00003 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/fromnumeric.py:3164:ndim (ndim)
    mean                                                     --  20100  20100 -- 0.20841 2.05039 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/fromnumeric.py:3356:mean (mean)
        _mean                                                --  20100  20100 -- 0.91548 1.84198 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/_methods.py:162:_mean (_mean) +++
    zeros_like                                               --      6      6 -- 0.00007 0.00031 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/numeric.py:76:zeros_like (zeros_like)
        empty_like                                           --      6      6 -- 0.00004 0.00010 -- <__array_function__ internals>:177:empty_like (empty_like)
            empty_like                                       --      6      6 -- 0.00000 0.00000 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/multiarray.py:80:empty_like (empty_like)
        copyto                                               --      6      6 -- 0.00003 0.00010 -- <__array_function__ internals>:177:copyto (copyto)
            copyto                                           --      6      6 -- 0.00000 0.00000 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/core/multiarray.py:1071:copyto (copyto)
    unique                                                   --    101    101 -- 0.00097 0.00976 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/lib/arraysetops.py:138:unique (unique)
        _unpack_tuple                                        --    101    101 -- 0.00026 0.00033 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/lib/arraysetops.py:125:_unpack_tuple (_unpack_tuple)
            <built-in method builtins.len>                   --    101    101 -- 0.00007 0.00007 -- ~:0:<built-in method builtins.len> (<built-in method builtins.len>) +++
        _unique1d                                            --    101    101 -- 0.00582 0.00745 -- onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/numpy/lib/arraysetops.py:320:_unique1d (_unique1d)
            <method 'flatten' of 'numpy.ndarray' objects>    --    101    101 -- 0.00078 0.00078 -- ~:0:<method 'flatten' of 'numpy.ndarray' objects> (<method 'flatten' of 'numpy.ndarray' objects>)
            <method 'sort' of 'numpy.ndarray' objects>       --    101    101 -- 0.00017 0.00017 -- ~:0:<method 'sort' of 'numpy.ndarray' objects> (<method 'sort' of 'numpy.ndarray' objects>)
            <built-in method numpy.asanyarray>               --    101    101 -- 0.00005 0.00005 -- ~:0:<built-in method numpy.asanyarray> (<built-in method numpy.asanyarray>) +++
            <built-in method numpy.empty>                    --    101    101 -- 0.00064 0.00064 -- ~:0:<built-in method numpy.empty> (<built-in method numpy.empty>) +++
        <built-in method numpy.asanyarray>                   --    101    101 -- 0.00101 0.00101 -- ~:0:<built-in method numpy.asanyarray> (<built-in method numpy.asanyarray>) +++
<built-in method builtins.getattr>                           --     41     41 -- 0.00004 0.00004 -- ~:0:<built-in method builtins.getattr> (<built-in method builtins.getattr>)
<method 'get' of 'dict' objects>                             --     33     33 -- 0.00003 0.00003 -- ~:0:<method 'get' of 'dict' objects> (<method 'get' of 'dict' objects>)
<built-in method numpy.asanyarray>                           --  27104  27104 -- 0.02085 0.02085 -- ~:0:<built-in method numpy.asanyarray> (<built-in method numpy.asanyarray>)
<method 'reduce' of 'numpy.ufunc' objects>                   --  26903  26903 -- 0.65526 0.65526 -- ~:0:<method 'reduce' of 'numpy.ufunc' objects> (<method 'reduce' of 'numpy.ufunc' objects>)
<built-in method builtins.issubclass>                        --  53806  53806 -- 0.04566 0.04566 -- ~:0:<built-in method builtins.issubclass> (<built-in method builtins.issubclass>)
<built-in method posix.fspath>                               --     24     24 -- 0.00001 0.00001 -- ~:0:<built-in method posix.fspath> (<built-in method posix.fspath>)
<built-in method _thread.get_ident>                          --     12     12 -- 0.00001 0.00001 -- ~:0:<built-in method _thread.get_ident> (<built-in method _thread.get_ident>)
<method 'rfind' of 'str' objects>                            --     18     18 -- 0.00003 0.00003 -- ~:0:<method 'rfind' of 'str' objects> (<method 'rfind' of 'str' objects>)

if GPU is available

if get_device().upper() == 'GPU':

    train_session = OrtGradientOptimizer(
        onx_train, list(weights), device='cuda', learning_rate=5e-4,
        warm_start=False, max_iter=200, batch_size=batch_size)

    benches.append(benchmark(nn, train_session, name='NN-GPU'))

Linear Regression

lr = MLPRegressor(hidden_layer_sizes=tuple(), max_iter=max_iter,
                  solver='sgd', learning_rate_init=5e-2, alpha=0,
                  n_iter_no_change=max_iter * 3, batch_size=batch_size,
                  nesterovs_momentum=False, momentum=0,
                  learning_rate='invscaling')

with warnings.catch_warnings():
    warnings.simplefilter('ignore')
    lr.fit(X, y)


onx = to_onnx(nn, X_train[:1].astype(numpy.float32), target_opset=15)
onx_train = add_loss_output(onx)

inits = get_train_initializer(onx)
weights = {k: v for k, v in inits.items() if k != "shape_tensor"}
pprint(list((k, v[0].shape) for k, v in weights.items()))

train_session = OrtGradientOptimizer(
    onx_train, list(weights), device='cpu', learning_rate=1e-4,
    warm_start=False, max_iter=max_iter, batch_size=batch_size)

benches.append(benchmark(lr, train_session, name='LR-CPU'))

if get_device().upper() == 'GPU':

    train_session = OrtGradientOptimizer(
        onx_train, list(weights), device='cuda', learning_rate=1e-4,
        warm_start=False, max_iter=200, batch_size=batch_size)

    benches.append(benchmark(nn, train_session, name='LR-GPU'))

Out:

[('coefficient', (100, 50)),
 ('intercepts', (1, 50)),
 ('coefficient1', (50, 10)),
 ('intercepts1', (1, 10)),
 ('coefficient2', (10, 1)),
 ('intercepts2', (1, 1))]
[benchmark] LR-CPU
somewhere/workspace/onnxcustom/onnxcustom_UT_39_std/_venv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:692: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
  warnings.warn(
[benchmark] skl=100 iterations - 5.118629396893084 seconds
[benchmark] ort=100 iterations - 4.4691445680800825 seconds

GPU profiling

if get_device().upper() == 'GPU':
    ps = profile(lambda: benchmark(nn, train_session, name='LR-GPU'))[0]
    root, nodes = profile2graph(ps, clean_text=clean_name)
    text = root.to_text()
    print(text)

Graphs

Dataframe first.

df = DataFrame(benches).set_index('name')
df
skl ort iter_skl iter_ort losses_skl losses_ort
name
NN-CPU 13.238363 4.475440 100 100 [5830.275596618652, 620.0155297088623, 415.125... [15831.541, 13898.67, 13880.633, 14304.313, 13...
LR-CPU 5.118629 4.469145 100 100 [1579.2097459030151, 20.527592051029206, 17.89... [14700.266, 8327.612, 3620.9734, 2285.795, 174...


text output

print(df)

Out:

              skl  ...                                         losses_ort
name               ...
NN-CPU  13.238363  ...  [15831.541, 13898.67, 13880.633, 14304.313, 13...
LR-CPU   5.118629  ...  [14700.266, 8327.612, 3620.9734, 2285.795, 174...

[2 rows x 6 columns]

Graphs.

fig, ax = plt.subplots(1, 2, figsize=(10, 4))
df[['skl', 'ort']].plot.bar(title="Processing time", ax=ax[0])
ax[0].tick_params(axis='x', rotation=30)
for bench in benches:
    ax[1].plot(bench['losses_skl'][1:], label='skl-' + bench['name'])
    ax[1].plot(bench['losses_ort'][1:], label='ort-' + bench['name'])
ax[1].set_title("Losses")
ax[1].set_yscale('log')
ax[1].legend()
Processing time, Losses

Out:

<matplotlib.legend.Legend object at 0x7fbe82c305b0>

The gradient update are not exactly the same. It should be improved for a fair comprison.

# plt.show()

Total running time of the script: ( 1 minutes 3.448 seconds)

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