View on TensorFlow.org | Run in Google Colab | View source on GitHub | Download notebook |

## Overview

This guide goes beneath the surface of TensorFlow and Keras to demonstrate how TensorFlow works. If you instead want to immediately get started with Keras, check out the collection of Keras guides.

In this guide, you'll learn how TensorFlow allows you to make simple changes to your code to get graphs, how graphs are stored and represented, and how you can use them to accelerate your models.

**This is a big-picture overview that covers how tf.function allows you to switch from eager execution to graph execution.** For a more complete specification of

`tf.function`

, go to the Better performance with `tf.function`

guide.### What are graphs?

In the previous three guides, you ran TensorFlow **eagerly**. This means TensorFlow operations are executed by Python, operation by operation, and return results back to Python.

While eager execution has several unique advantages, graph execution enables portability outside Python and tends to offer better performance. **Graph execution** means that tensor computations are executed as a *TensorFlow graph*, sometimes referred to as a `tf.Graph`

or simply a "graph."

**Graphs are data structures that contain a set of tf.Operation objects, which represent units of computation; and tf.Tensor objects, which represent the units of data that flow between operations.** They are defined in a

`tf.Graph`

context. Since these graphs are data structures, they can be saved, run, and restored all without the original Python code.This is what a TensorFlow graph representing a two-layer neural network looks like when visualized in TensorBoard:

### The benefits of graphs

With a graph, you have a great deal of flexibility. You can use your TensorFlow graph in environments that don't have a Python interpreter, like mobile applications, embedded devices, and backend servers. TensorFlow uses graphs as the format for saved models when it exports them from Python.

Graphs are also easily optimized, allowing the compiler to do transformations like:

- Statically infer the value of tensors by folding constant nodes in your computation
*("constant folding")*. - Separate sub-parts of a computation that are independent and split them between threads or devices.
- Simplify arithmetic operations by eliminating common subexpressions.

There is an entire optimization system, Grappler, to perform this and other speedups.

In short, graphs are extremely useful and let your TensorFlow run **fast**, run **in parallel**, and run efficiently **on multiple devices**.

However, you still want to define your machine learning models (or other computations) in Python for convenience, and then automatically construct graphs when you need them.

## Setup

Import some necessary libraries:

```
import tensorflow as tf
import timeit
from datetime import datetime
```

2024-07-19 01:21:42.524512: E external/local_xla/xla/stream_executor/cuda/cuda_fft.cc:485] Unable to register cuFFT factory: Attempting to register factory for plugin cuFFT when one has already been registered 2024-07-19 01:21:42.545820: E external/local_xla/xla/stream_executor/cuda/cuda_dnn.cc:8454] Unable to register cuDNN factory: Attempting to register factory for plugin cuDNN when one has already been registered 2024-07-19 01:21:42.552122: E external/local_xla/xla/stream_executor/cuda/cuda_blas.cc:1452] Unable to register cuBLAS factory: Attempting to register factory for plugin cuBLAS when one has already been registered

## Taking advantage of graphs

You create and run a graph in TensorFlow by using `tf.function`

, either as a direct call or as a decorator. `tf.function`

takes a regular function as input and returns a `tf.types.experimental.PolymorphicFunction`

. **A PolymorphicFunction is a Python callable that builds TensorFlow graphs from the Python function. You use a tf.function in the same way as its Python equivalent.**

```
# Define a Python function.
def a_regular_function(x, y, b):
x = tf.matmul(x, y)
x = x + b
return x
# The Python type of `a_function_that_uses_a_graph` will now be a
# `PolymorphicFunction`.
a_function_that_uses_a_graph = tf.function(a_regular_function)
# Make some tensors.
x1 = tf.constant([[1.0, 2.0]])
y1 = tf.constant([[2.0], [3.0]])
b1 = tf.constant(4.0)
orig_value = a_regular_function(x1, y1, b1).numpy()
# Call a `tf.function` like a Python function.
tf_function_value = a_function_that_uses_a_graph(x1, y1, b1).numpy()
assert(orig_value == tf_function_value)
```

WARNING: All log messages before absl::InitializeLog() is called are written to STDERR I0000 00:00:1721352105.159223 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352105.162972 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352105.166660 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352105.170492 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352105.182005 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352105.185590 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352105.189241 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352105.193106 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352105.196978 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352105.200354 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352105.203876 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352105.207413 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352106.490155 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352106.492177 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352106.494242 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352106.496274 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352106.498254 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352106.500184 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352106.502163 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352106.504098 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352106.506011 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352106.507875 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352106.509829 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352106.511775 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352106.549838 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352106.551807 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352106.553921 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352106.555873 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352106.557729 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352106.559657 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352106.561613 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352106.563541 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352106.565394 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352106.568779 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352106.571256 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355 I0000 00:00:1721352106.573633 7674 cuda_executor.cc:1015] successful NUMA node read from SysFS had negative value (-1), but there must be at least one NUMA node, so returning NUMA node zero. See more at https://github.com/torvalds/linux/blob/v6.0/Documentation/ABI/testing/sysfs-bus-pci#L344-L355

On the outside, a `tf.function`

looks like a regular function you write using TensorFlow operations. Underneath, however, it is *very different*. The underlying `PolymorphicFunction`

**encapsulates several tf.Graphs behind one API** (learn more in the

*Polymorphism*section). That is how a

`tf.function`

is able to give you the benefits of graph execution, like speed and deployability (refer to *The benefits of graphs*above).

`tf.function`

applies to a function *and all other functions it calls*:

```
def inner_function(x, y, b):
x = tf.matmul(x, y)
x = x + b
return x
# Using the `tf.function` decorator makes `outer_function` into a
# `PolymorphicFunction`.
@tf.function
def outer_function(x):
y = tf.constant([[2.0], [3.0]])
b = tf.constant(4.0)
return inner_function(x, y, b)
# Note that the callable will create a graph that
# includes `inner_function` as well as `outer_function`.
outer_function(tf.constant([[1.0, 2.0]])).numpy()
```

array([[12.]], dtype=float32)

If you have used TensorFlow 1.x, you will notice that at no time did you need to define a `Placeholder`

or `tf.Session`

.

### Converting Python functions to graphs

Any function you write with TensorFlow will contain a mixture of built-in TF operations and Python logic, such as `if-then`

clauses, loops, `break`

, `return`

, `continue`

, and more. While TensorFlow operations are easily captured by a `tf.Graph`

, Python-specific logic needs to undergo an extra step in order to become part of the graph. `tf.function`

uses a library called AutoGraph (`tf.autograph`

) to convert Python code into graph-generating code.

```
def simple_relu(x):
if tf.greater(x, 0):
return x
else:
return 0
# Using `tf.function` makes `tf_simple_relu` a `PolymorphicFunction` that wraps
# `simple_relu`.
tf_simple_relu = tf.function(simple_relu)
print("First branch, with graph:", tf_simple_relu(tf.constant(1)).numpy())
print("Second branch, with graph:", tf_simple_relu(tf.constant(-1)).numpy())
```

First branch, with graph: 1 Second branch, with graph: 0

Though it is unlikely that you will need to view graphs directly, you can inspect the outputs to check the exact results. These are not easy to read, so no need to look too carefully!

```
# This is the graph-generating output of AutoGraph.
print(tf.autograph.to_code(simple_relu))
```

def tf__simple_relu(x): with ag__.FunctionScope('simple_relu', 'fscope', ag__.ConversionOptions(recursive=True, user_requested=True, optional_features=(), internal_convert_user_code=True)) as fscope: do_return = False retval_ = ag__.UndefinedReturnValue() def get_state(): return (do_return, retval_) def set_state(vars_): nonlocal retval_, do_return (do_return, retval_) = vars_ def if_body(): nonlocal retval_, do_return try: do_return = True retval_ = ag__.ld(x) except: do_return = False raise def else_body(): nonlocal retval_, do_return try: do_return = True retval_ = 0 except: do_return = False raise ag__.if_stmt(ag__.converted_call(ag__.ld(tf).greater, (ag__.ld(x), 0), None, fscope), if_body, else_body, get_state, set_state, ('do_return', 'retval_'), 2) return fscope.ret(retval_, do_return)

```
# This is the graph itself.
print(tf_simple_relu.get_concrete_function(tf.constant(1)).graph.as_graph_def())
```

node { name: "x" op: "Placeholder" attr { key: "_user_specified_name" value { s: "x" } } attr { key: "dtype" value { type: DT_INT32 } } attr { key: "shape" value { shape { } } } } node { name: "Greater/y" op: "Const" attr { key: "dtype" value { type: DT_INT32 } } attr { key: "value" value { tensor { dtype: DT_INT32 tensor_shape { } int_val: 0 } } } } node { name: "Greater" op: "Greater" input: "x" input: "Greater/y" attr { key: "T" value { type: DT_INT32 } } } node { name: "cond" op: "StatelessIf" input: "Greater" input: "x" attr { key: "Tcond" value { type: DT_BOOL } } attr { key: "Tin" value { list { type: DT_INT32 } } } attr { key: "Tout" value { list { type: DT_BOOL type: DT_INT32 } } } attr { key: "_lower_using_switch_merge" value { b: true } } attr { key: "_read_only_resource_inputs" value { list { } } } attr { key: "else_branch" value { func { name: "cond_false_31" } } } attr { key: "output_shapes" value { list { shape { } shape { } } } } attr { key: "then_branch" value { func { name: "cond_true_30" } } } } node { name: "cond/Identity" op: "Identity" input: "cond" attr { key: "T" value { type: DT_BOOL } } } node { name: "cond/Identity_1" op: "Identity" input: "cond:1" attr { key: "T" value { type: DT_INT32 } } } node { name: "Identity" op: "Identity" input: "cond/Identity_1" attr { key: "T" value { type: DT_INT32 } } } library { function { signature { name: "cond_false_31" input_arg { name: "cond_placeholder" type: DT_INT32 } output_arg { name: "cond_identity" type: DT_BOOL } output_arg { name: "cond_identity_1" type: DT_INT32 } } node_def { name: "cond/Const" op: "Const" attr { key: "dtype" value { type: DT_BOOL } } attr { key: "value" value { tensor { dtype: DT_BOOL tensor_shape { } bool_val: true } } } } node_def { name: "cond/Const_1" op: "Const" attr { key: "dtype" value { type: DT_BOOL } } attr { key: "value" value { tensor { dtype: DT_BOOL tensor_shape { } bool_val: true } } } } node_def { name: "cond/Const_2" op: "Const" attr { key: "dtype" value { type: DT_INT32 } } attr { key: "value" value { tensor { dtype: DT_INT32 tensor_shape { } int_val: 0 } } } } node_def { name: "cond/Const_3" op: "Const" attr { key: "dtype" value { type: DT_BOOL } } attr { key: "value" value { tensor { dtype: DT_BOOL tensor_shape { } bool_val: true } } } } node_def { name: "cond/Identity" op: "Identity" input: "cond/Const_3:output:0" attr { key: "T" value { type: DT_BOOL } } } node_def { name: "cond/Const_4" op: "Const" attr { key: "dtype" value { type: DT_INT32 } } attr { key: "value" value { tensor { dtype: DT_INT32 tensor_shape { } int_val: 0 } } } } node_def { name: "cond/Identity_1" op: "Identity" input: "cond/Const_4:output:0" attr { key: "T" value { type: DT_INT32 } } } ret { key: "cond_identity" value: "cond/Identity:output:0" } ret { key: "cond_identity_1" value: "cond/Identity_1:output:0" } attr { key: "_construction_context" value { s: "kEagerRuntime" } } arg_attr { key: 0 value { attr { key: "_output_shapes" value { list { shape { } } } } } } } function { signature { name: "cond_true_30" input_arg { name: "cond_identity_1_x" type: DT_INT32 } output_arg { name: "cond_identity" type: DT_BOOL } output_arg { name: "cond_identity_1" type: DT_INT32 } } node_def { name: "cond/Const" op: "Const" attr { key: "dtype" value { type: DT_BOOL } } attr { key: "value" value { tensor { dtype: DT_BOOL tensor_shape { } bool_val: true } } } } node_def { name: "cond/Identity" op: "Identity" input: "cond/Const:output:0" attr { key: "T" value { type: DT_BOOL } } } node_def { name: "cond/Identity_1" op: "Identity" input: "cond_identity_1_x" attr { key: "T" value { type: DT_INT32 } } } ret { key: "cond_identity" value: "cond/Identity:output:0" } ret { key: "cond_identity_1" value: "cond/Identity_1:output:0" } attr { key: "_construction_context" value { s: "kEagerRuntime" } } arg_attr { key: 0 value { attr { key: "_output_shapes" value { list { shape { } } } } attr { key: "_user_specified_name" value { s: "x" } } } } } } versions { producer: 1882 min_consumer: 12 }

Most of the time, `tf.function`

will work without special considerations. However, there are some caveats, and the `tf.function`

guide can help here, as well as the complete AutoGraph reference.

### Polymorphism: one `tf.function`

, many graphs

A `tf.Graph`

is specialized to a specific type of inputs (for example, tensors with a specific `dtype`

or objects with the same `id()`

).

Each time you invoke a `tf.function`

with a set of arguments that can't be handled by any of its existing graphs (such as arguments with new `dtypes`

or incompatible shapes), it creates a new `tf.Graph`

specialized to those new arguments. The type specification of a `tf.Graph`

's inputs is represented by `tf.types.experimental.FunctionType`

, also referred to as the **signature**. For more information regarding when a new `tf.Graph`

is generated, how that can be controlled, and how `FunctionType`

can be useful, go to the *Rules of tracing* section of the Better performance with `tf.function`

guide.

The `tf.function`

stores the `tf.Graph`

corresponding to that signature in a `ConcreteFunction`

. **A ConcreteFunction can be thought of as a wrapper around a tf.Graph.**

```
@tf.function
def my_relu(x):
return tf.maximum(0., x)
# `my_relu` creates new graphs as it observes different input types.
print(my_relu(tf.constant(5.5)))
print(my_relu([1, -1]))
print(my_relu(tf.constant([3., -3.])))
```

tf.Tensor(5.5, shape=(), dtype=float32) tf.Tensor([1. 0.], shape=(2,), dtype=float32) tf.Tensor([3. 0.], shape=(2,), dtype=float32)

If the `tf.function`

has already been called with the same input types, it does not create a new `tf.Graph`

.

```
# These two calls do *not* create new graphs.
print(my_relu(tf.constant(-2.5))) # Input type matches `tf.constant(5.5)`.
print(my_relu(tf.constant([-1., 1.]))) # Input type matches `tf.constant([3., -3.])`.
```

tf.Tensor(0.0, shape=(), dtype=float32) tf.Tensor([0. 1.], shape=(2,), dtype=float32)

Because it's backed by multiple graphs, a `tf.function`

is (as the name "PolymorphicFunction" suggests) **polymorphic**. That enables it to support more input types than a single `tf.Graph`

could represent, and to optimize each `tf.Graph`

for better performance.

```
# There are three `ConcreteFunction`s (one for each graph) in `my_relu`.
# The `ConcreteFunction` also knows the return type and shape!
print(my_relu.pretty_printed_concrete_signatures())
```

Input Parameters: x (POSITIONAL_OR_KEYWORD): TensorSpec(shape=(), dtype=tf.float32, name=None) Output Type: TensorSpec(shape=(), dtype=tf.float32, name=None) Captures: None Input Parameters: x (POSITIONAL_OR_KEYWORD): List[Literal[1], Literal[-1]] Output Type: TensorSpec(shape=(2,), dtype=tf.float32, name=None) Captures: None Input Parameters: x (POSITIONAL_OR_KEYWORD): TensorSpec(shape=(2,), dtype=tf.float32, name=None) Output Type: TensorSpec(shape=(2,), dtype=tf.float32, name=None) Captures: None

## Using `tf.function`

So far, you've learned how to convert a Python function into a graph simply by using `tf.function`

as a decorator or wrapper. But in practice, getting `tf.function`

to work correctly can be tricky! In the following sections, you'll learn how you can make your code work as expected with `tf.function`

.

### Graph execution vs. eager execution

The code in a `tf.function`

can be executed both eagerly and as a graph. By default, `tf.function`

executes its code as a graph:

```
@tf.function
def get_MSE(y_true, y_pred):
sq_diff = tf.pow(y_true - y_pred, 2)
return tf.reduce_mean(sq_diff)
```

```
y_true = tf.random.uniform([5], maxval=10, dtype=tf.int32)
y_pred = tf.random.uniform([5], maxval=10, dtype=tf.int32)
print(y_true)
print(y_pred)
```

tf.Tensor([1 4 3 1 3], shape=(5,), dtype=int32) tf.Tensor([0 3 8 0 6], shape=(5,), dtype=int32)

```
get_MSE(y_true, y_pred)
```

<tf.Tensor: shape=(), dtype=int32, numpy=7>

To verify that your `tf.function`

's graph is doing the same computation as its equivalent Python function, you can make it execute eagerly with `tf.config.run_functions_eagerly(True)`

. This is a switch that **turns off tf.function's ability to create and run graphs**, instead of executing the code normally.

```
tf.config.run_functions_eagerly(True)
```

```
get_MSE(y_true, y_pred)
```

<tf.Tensor: shape=(), dtype=int32, numpy=7>

```
# Don't forget to set it back when you are done.
tf.config.run_functions_eagerly(False)
```

However, `tf.function`

can behave differently under graph and eager execution. The Python `print`

function is one example of how these two modes differ. Let's check out what happens when you insert a `print`

statement to your function and call it repeatedly.

```
@tf.function
def get_MSE(y_true, y_pred):
print("Calculating MSE!")
sq_diff = tf.pow(y_true - y_pred, 2)
return tf.reduce_mean(sq_diff)
```

Observe what is printed:

```
error = get_MSE(y_true, y_pred)
error = get_MSE(y_true, y_pred)
error = get_MSE(y_true, y_pred)
```

Calculating MSE!

Is the output surprising? `get_MSE`

only printed once even though it was called *three* times.

To explain, the `print`

statement is executed when `tf.function`

runs the original code in order to create the graph in a process known as "tracing" (refer to the *Tracing* section of the `tf.function`

guide. **Tracing captures the TensorFlow operations into a graph, and print is not captured in the graph.** That graph is then executed for all three calls

**without ever running the Python code again**.

As a sanity check, let's turn off graph execution to compare:

```
# Now, globally set everything to run eagerly to force eager execution.
tf.config.run_functions_eagerly(True)
```

```
# Observe what is printed below.
error = get_MSE(y_true, y_pred)
error = get_MSE(y_true, y_pred)
error = get_MSE(y_true, y_pred)
```

Calculating MSE! Calculating MSE! Calculating MSE!

```
tf.config.run_functions_eagerly(False)
```

`print`

is a *Python side effect*, and there are other differences that you should be aware of when converting a function into a `tf.function`

. Learn more in the *Limitations* section of the Better performance with `tf.function`

guide.

### Non-strict execution

Graph execution only executes the operations necessary to produce the observable effects, which include:

- The return value of the function
- Documented well-known side-effects such as:
- Input/output operations, like
`tf.print`

- Debugging operations, such as the assert functions in
`tf.debugging`

- Mutations of
`tf.Variable`

- Input/output operations, like

This behavior is usually known as "Non-strict execution", and differs from eager execution, which steps through all of the program operations, needed or not.

In particular, runtime error checking does not count as an observable effect. If an operation is skipped because it is unnecessary, it cannot raise any runtime errors.

In the following example, the "unnecessary" operation `tf.gather`

is skipped during graph execution, so the runtime error `InvalidArgumentError`

is not raised as it would be in eager execution. Do not rely on an error being raised while executing a graph.

```
def unused_return_eager(x):
# Get index 1 will fail when `len(x) == 1`
tf.gather(x, [1]) # unused
return x
try:
print(unused_return_eager(tf.constant([0.0])))
except tf.errors.InvalidArgumentError as e:
# All operations are run during eager execution so an error is raised.
print(f'{type(e).__name__}: {e}')
```

tf.Tensor([0.], shape=(1,), dtype=float32)

```
@tf.function
def unused_return_graph(x):
tf.gather(x, [1]) # unused
return x
# Only needed operations are run during graph execution. The error is not raised.
print(unused_return_graph(tf.constant([0.0])))
```

tf.Tensor([0.], shape=(1,), dtype=float32)

`tf.function`

best practices

It may take some time to get used to the behavior of `tf.function`

. To get started quickly, first-time users should play around with decorating toy functions with `@tf.function`

to get experience with going from eager to graph execution.

*Designing for tf.function* may be your best bet for writing graph-compatible TensorFlow programs. Here are some tips:

- Toggle between eager and graph execution early and often with
`tf.config.run_functions_eagerly`

to pinpoint if/ when the two modes diverge. - Create
`tf.Variable`

s outside the Python function and modify them on the inside. The same goes for objects that use`tf.Variable`

, like`tf.keras.layers`

,`tf.keras.Model`

s and`tf.keras.optimizers`

. - Avoid writing functions that depend on outer Python variables, excluding
`tf.Variable`

s and Keras objects. Learn more in*Depending on Python global and free variables*of the`tf.function`

guide. - Prefer to write functions which take tensors and other TensorFlow types as input. You can pass in other object types but be careful! Learn more in
*Depending on Python objects*of the`tf.function`

guide. - Include as much computation as possible under a
`tf.function`

to maximize the performance gain. For example, decorate a whole training step or the entire training loop.

## Seeing the speed-up

`tf.function`

usually improves the performance of your code, but the amount of speed-up depends on the kind of computation you run. Small computations can be dominated by the overhead of calling a graph. You can measure the difference in performance like so:

```
x = tf.random.uniform(shape=[10, 10], minval=-1, maxval=2, dtype=tf.dtypes.int32)
def power(x, y):
result = tf.eye(10, dtype=tf.dtypes.int32)
for _ in range(y):
result = tf.matmul(x, result)
return result
```

```
print("Eager execution:", timeit.timeit(lambda: power(x, 100), number=1000), "seconds")
```

Eager execution: 4.18508038799996 seconds

```
power_as_graph = tf.function(power)
print("Graph execution:", timeit.timeit(lambda: power_as_graph(x, 100), number=1000), "seconds")
```

Graph execution: 0.7758718769998723 seconds

`tf.function`

is commonly used to speed up training loops, and you can learn more about it in the _Speeding-up your training step with `tf.function`

_ section of the Writing a training loop from scratch with Keras guide.

### Performance and trade-offs

Graphs can speed up your code, but the process of creating them has some overhead. For some functions, the creation of the graph takes more time than the execution of the graph. **This investment is usually quickly paid back with the performance boost of subsequent executions, but it's important to be aware that the first few steps of any large model training can be slower due to tracing.**

No matter how large your model, you want to avoid tracing frequently. In the *Controlling retracing* section, the `tf.function`

guide discusses how to set input specifications and use tensor arguments to avoid retracing. If you find you are getting unusually poor performance, it's a good idea to check if you are retracing accidentally.

## When is a `tf.function`

tracing?

To figure out when your `tf.function`

is tracing, add a `print`

statement to its code. As a rule of thumb, `tf.function`

will execute the `print`

statement every time it traces.

```
@tf.function
def a_function_with_python_side_effect(x):
print("Tracing!") # An eager-only side effect.
return x * x + tf.constant(2)
# This is traced the first time.
print(a_function_with_python_side_effect(tf.constant(2)))
# The second time through, you won't see the side effect.
print(a_function_with_python_side_effect(tf.constant(3)))
```

Tracing! tf.Tensor(6, shape=(), dtype=int32) tf.Tensor(11, shape=(), dtype=int32)

```
# This retraces each time the Python argument changes,
# as a Python argument could be an epoch count or other
# hyperparameter.
print(a_function_with_python_side_effect(2))
print(a_function_with_python_side_effect(3))
```

Tracing! tf.Tensor(6, shape=(), dtype=int32) Tracing! tf.Tensor(11, shape=(), dtype=int32)

New Python arguments always trigger the creation of a new graph, hence the extra tracing.

## Next steps

You can learn more about `tf.function`

on the API reference page and by following the Better performance with `tf.function`

guide.