doc/mjx.rst
.. _Mjx:
.. toctree:: :hidden:
API <mjx_api.rst>
MuJoCo XLA (MJX) provides a JAX <https://github.com/jax-ml/jax#readme>__ API for various implementations of MuJoCo. MJX can be found
under the mjx <https://github.com/google-deepmind/mujoco/tree/main/mjx>__ directory in the MuJoCo repository.
MJX allows users to run MuJoCo
on all compute hardware supported by the XLA <https://www.tensorflow.org/xla>__ compiler. A JAX re-implementation of
MuJoCo (:ref:MJX-JAX <MjxJAX>) is available. MJX-JAX
runs on <https://jax.readthedocs.io/en/latest/installation.html#supported-platforms>: Nvidia and AMD GPUs,
Apple Silicon, and Google Cloud TPUs <https://cloud.google.com/tpu>. A Warp implementation of MuJoCo
(:ref:MJX-Warp <MjxWarp>) optimizes performance specifically for NVIDIA GPUs, resolving
several performance bottlenecks exhibited in MJX-JAX.
MJX is distributed as a separate package called mujoco-mjx on PyPI <https://pypi.org/project/mujoco-mjx>__.
It depends on the main mujoco package for model compilation and visualization, and also depends on
:ref:MuJoCo Warp <MJW> for the Warp implementation of MuJoCo.
.. _MjxInstallation:
The recommended way to install this package is via PyPI <https://pypi.org/project/mujoco-mjx/>__:
.. code-block:: shell
pip install mujoco-mjx
To use :ref:MuJoCo Warp <MJW> with MJX, install via:
.. code-block:: shell
pip install mujoco-mjx[warp]
A copy of the MuJoCo library is provided as part of this package's dependencies and does not need to be downloaded or installed separately.
.. _MjxExample:
Once installed, you can use MJX by importing the mujoco.mjx package. A MuJoCo model is placed on device by calling mjx.put_model,
and a MuJoCo data is created on device with mjx.make_data. You can then step the simulation with mjx.step.
.. code-block:: python
import jax import mujoco from mujoco import mjx
XML=r""" <mujoco> <worldbody> <body> <freejoint/> <geom size=".15" mass="1" type="sphere"/> </body> </worldbody> </mujoco> """
model = mujoco.MjModel.from_xml_string(XML) mjx_model = mjx.put_model(model)
@jax.vmap def batched_step(vel): mjx_data = mjx.make_data(mjx_model) qvel = mjx_data.qvel.at[0].set(vel) mjx_data = mjx_data.replace(qvel=qvel) pos = mjx.step(mjx_model, mjx_data).qpos[0] return pos
vel = jax.numpy.arange(0.0, 1.0, 0.01) pos = jax.jit(batched_step)(vel) print(pos)
MJX currently supports two implementations of MuJoCo: a pure :ref:JAX <MjxJAX> and a :ref:Warp <MjxWarp> implementation.
.. _MjxWarp:
MJX-Warp uses :ref:MuJoCo Warp <MJW>, the most fully-featured
implementation of MuJoCo for hardware accelerated devices. MJX-Warp resolves key performance
bottlenecks exhibited in MJX-JAX around contacts and constraints.
Note that unlike MJX-JAX, MJX-Warp does not support automatic differentiation and has no immediate plans to support auto-diff.
Basic Usage
We create model and data by passing ``impl='warp'`` to the ``mjx.put_model`` and ``mjx.make_data`` functions:
.. code-block:: python
mj_model = mujoco.MjModel.from_xml_path(...)
model = mjx.put_model(mj_model, impl='warp')
data = mjx.make_data(mj_model, impl='warp', naconmax=naconmax, njmax=njmax)
Notice that we pass two extra arguments to ``mjx.make_data``:
* ``naconmax`` defines the maximum number of contacts for all worlds combined.
* ``njmax`` defines the maximum number of constraints per world. If you are developing a new scene, these parameters
should be tuned by loading them in the :ref:`viewer <mjwViewer>` and increasing the values accordingly as overflows
occur. Scale ``naconmax`` by the number of environments you'll eventually need in a ``jax.vmap``!
Contacts
~~~~~~~~
Since JAX and Warp diverge in their implementations of contact buffers, contacts are located in the private
``mjx.Data._impl`` instead of ``mjx.Data.contact``. We encourage users to read out contacts solely through
:ref:`contact sensors <sensor-contact>`.
For more details and examples of using MJX-Warp in the wild, see the announcement in MuJoCo Playground
`here <https://github.com/google-deepmind/mujoco_playground/discussions/197>`__.
Batched ``Data`` updates
With MJX-JAX it is possible to reset a subset of environments in a batch with
jax.tree.map(jax.numpy.where, done, reset_data, data). However, this approach does not work out-of-the-box for
MJX-Warp due to internal implementation details.
To support batched Data updates for both implementations, MJX provides a unified where method on Data objects:
.. code-block:: python
data = data.where(done, reset_data)
.. _MjxWarpGraphModes:
Graph Modes
The ``mjx.put_model`` function accepts a ``graph_mode`` argument to configure the CUDA graph capture behavior,
exposed by the ``mjx.warp.GraphMode`` enum. When called from JAX, CUDA graphs are captured by the Warp
Foreign Function interface and are cached to help improve runtime performance. See the
`Warp JAX interoperability documentation <https://nvidia.github.io/warp/user_guide/interoperability.html#jax>`__
for more details. The graph mode can be configured as follows:
.. code-block:: python
import mujoco.mjx.warp as mjxw
model = mjx.put_model(mj_model, impl='warp', graph_mode=mjxw.GraphMode.WARP_STAGED)
The various graph modes have certain performance tradeoffs:
* ``JAX``: Does not work with MuJoCo Warp since the Warp implementation creates child graph nodes that cannot be rolled
up into the XLA graph.
* ``WARP``: (Default) Warp captures the CUDA graph internally and caches it using buffer pointers from XLA. JAX and XLA
often optimize memory layouts in unexpected ways and may change buffer pointers between calls to Warp. Since
Warp/CUDA require stable pointers, CUDA graphs will be re-captured if the input and output buffer pointers change.
Graph captures are typically expensive to run, so excessive graph recaptures due to unstable pointers from JAX
will degrade performance. If your JAX program is bottlenecked by
excessive graph captures, consider ``WARP_STAGED`` or ``WARP_STAGED_EX``.
* ``WARP_STAGED``: Staging buffers are created (thus increasing memory usage) and the XLA buffers are copied in and out
of staging buffers so that the CUDA graph gets consistent memory pointers. A CUDA graph capture occurs only once.
* ``WARP_STAGED_EX``: Similar to ``WARP_STAGED`` but the copy operations are moved outside the initial graph capture.
Depending on how your JAX program handles memory, you may want to use ``WARP_STAGED`` or ``WARP_STAGED_EX`` to avoid
excessive graph captures.
The following table shows an example of the tradeoff between different graph modes. We report Steps per Second (SPS)
of different configurations on the Humanoid and Aloha Pot scenes. Notice that if we force a graph recapture on every
step, there is a significant performance drop:
.. list-table:: Steps per Second (SPS) for MJX-Warp Graph Modes
:widths: 50 25 25
:header-rows: 1
* - Configuration
- Humanoid
- Aloha Pot
* - Pure Warp (No JAX FFI)
- 3.35M
- 2.45M
* - JAX FFI (``WARP``)
- 2.96M
- 2.33M
* - JAX FFI (``WARP`` with forced recaptures on every step)
- 0.80M
- 0.65M
To mitigate the recaptures, we can use ``WARP_STAGED`` or ``WARP_STAGED_EX``. Since these modes introduce staging buffers,
they may exhibit lower performance than ``WARP``, but they are significantly more performant than ``WARP`` if there are
excessive graph captures in the JAX-Warp FFI layer.
.. list-table:: Steps per Second (SPS) for MJX-Warp Graph Modes
:widths: 50 25 25
:header-rows: 1
* - Configuration
- Humanoid
- Aloha Pot
* - JAX FFI (``WARP_STAGED``)
- 2.67M
- 1.96M
* - JAX FFI (``WARP`` with forced recaptures on every step)
- 0.80M
- 0.65M
.. _MjxWarpBatchRendering:
Batch Rendering
MJX-Warp includes a hardware-accelerated batch renderer for generating pixel observations (such as RGB and depth) across multiple parallel environments.
To use the batch renderer, you must first create a render context that allocates the necessary buffers.
Note that the number of parallel worlds (nworld) is fixed when creating the context.
create_render_context returns a render context object that provides direct access to buffer
metadata (camera resolution, addresses, etc.). Call .pytree() to obtain the lightweight JAX
pytree that should be passed into jit/vmap-compiled functions:
.. code-block:: python
from mujoco.mjx import create_render_context
rc = create_render_context(
mjm=m,
nworld=nworld,
cam_res=(width, height),
use_textures=True,
use_shadows=True,
render_rgb=[True] * ncam,
render_depth=[False] * ncam,
enabled_geom_groups=[0, 1, 2],
)
Hold a reference to rc for the lifetime of your program and pass rc.pytree() to
downstream JAX functions. The pytree is a lightweight handle that refers back to the
context via an internal registry.
Once the context is created, you can render images within a compiled JAX function. This involves updating the bounding volume hierarchy (BVH) and executing the raycaster:
.. code-block:: python
from mujoco.mjx import get_rgb
@jax.jit
def render_fn(mx, d, rc_pytree):
# 1. Update the BVH for the current scene state
d = mjx.refit_bvh(mx, d, rc_pytree)
# 2. Render all configured cameras
pixels, _, d = mjx.render(mx, d, rc_pytree)
# 3. Extract the RGB tensor for the first camera (index 0)
rgb = get_rgb(rc_pytree, 0, pixels)
return rgb, d
rgb, d = render_fn(mx, d, rc.pytree())
.. NOTE::
:func:~mujoco.mjx.refit_bvh and :func:~mujoco.mjx.render update an internal execution token
(d._impl._jax_token) within :class:~mujoco.mjx.Data. Passing d sequentially through
refit_bvh and render creates an explicit data dependency, preventing XLA from reordering BVH
updates and raycasting passes across iterations or unrolled loops.
.. WARNING::
The batch dimension nworld is fixed when the render context is created via
:func:~mujoco.mjx.create_render_context since the underlying Warp render context allocates
buffers for nworld environments that are not visible to JAX. :func:~mujoco.mjx.render
will always return outputs with a leading batch dimension of size nworld. Because of this,
there is a known issue where :func:~mujoco.mjx.render does not play nice with a
jax.vmap(jax.lax.scan).
Multi-GPU with pmap
^^^^^^^^^^^^^^^^^^^^^^^
To render across multiple GPUs, create a render context per device by passing devices to
:func:create_render_context <mujoco.mjx.create_render_context>.
.. code-block:: python
ndevices = jax.local_device_count()
nworld_per_device = nworld // ndevices
# Create one render context for all devices
rc = create_render_context(
mjm=m,
nworld=nworld_per_device,
devices=[f'cuda:{i}' for i in range(ndevices)],
cam_res=(width, height),
)
Then use jax.pmap to parallelize the rendering across devices. See the complete example in
visualize_render.py <https://github.com/google-deepmind/mujoco/blob/main/mjx/mujoco/mjx/warp/visualize_render.py>__.
.. _MjxJAX:
MJX-JAX is a re-implementation of MuJoCo that uses the same algorithms as the MuJoCo implementation. However, in order
to properly leverage JAX, MJX deliberately diverges from the MuJoCo API in a few places (see below). For users looking
for a simulator that is performant for small scenes and that roughly supports gradients, MJX-JAX is a good option. We
point users to :ref:MJX-Warp <MjxWarp> otherwise.
MJX-JAX allows MuJoCo to run on all compute
hardware supported <https://jax.readthedocs.io/en/latest/installation.html#supported-platforms>__ by the
XLA <https://www.tensorflow.org/xla>__ compiler via the JAX <https://github.com/jax-ml/jax#readme>__ framework
(AMD GPUs, Apple Silicon, and Google Cloud TPUs <https://cloud.google.com/tpu>__).
The MJX-JAX API is consistent with the main simulation functions in the MuJoCo API, although it is missing some
features. While the :ref:API documentation <Mainsimulation> is applicable to both libraries, we indicate features
unsupported by MJX-JAX in the :ref:notes <MjxFeatureParity> below.
MJX-JAX is a successor to the generalized physics pipeline <https://github.com/google/brax/tree/main/brax/generalized>__
in Google's Brax <https://github.com/google/brax>__ physics and reinforcement learning library. MJX-JAX was built
by core contributors to both MuJoCo and Brax. Brax
depends on the mujoco-mjx package, and Brax's existing
generalized pipeline <https://github.com/google/brax/tree/main/brax/generalized>__ is no longer maintained.
.. _MjxNotebook:
The following IPython notebook demonstrates the use of MJX along with reinforcement learning to train humanoid and quadruped robots to locomote: |colab|.
.. |colab| image:: https://colab.research.google.com/assets/colab-badge.png :target: https://colab.research.google.com/github/google-deepmind/mujoco/blob/main/mjx/tutorial.ipynb
.. _MjxUsage:
.. _MjxStructs:
Before running MJX functions on an accelerator device, structs must be copied onto the device via the mjx.put_model
and mjx.put_data functions. Placing an :ref:mjModel on device yields an mjx.Model. Placing an :ref:mjData on
device yields an mjx.Data:
.. code-block:: python
model = mujoco.MjModel.from_xml_string("...") data = mujoco.MjData(model) mjx_model = mjx.put_model(model) mjx_data = mjx.put_data(model, data)
These MJX variants mirror their MuJoCo counterparts but have a few key differences:
#. mjx.Model and mjx.Data contain JAX arrays that are copied onto device.
#. Some fields are missing from mjx.Model and mjx.Data for features that are private
to a specific implementation of MuJoCo, or that are :ref:unsupported <mjxFeatureParity>.
#. JAX arrays in mjx.Model and mjx.Data support adding batch dimensions. Batch dimensions are a natural way to
express domain randomization (in the case of mjx.Model) or high-throughput simulation for reinforcement learning
(in the case of mjx.Data).
#. Numpy arrays in mjx.Model and mjx.Data are structural fields that control the output of JIT compilation.
Modifying these arrays will force JAX to recompile MJX functions. As an example, jnt_limited is a numpy array
passed by reference from :ref:mjModel, which determines if joint limit constraints should be applied. If
jnt_limited is modified, JAX will re-compile MJX functions. On the other hand, jnt_range is a JAX array that
can be modified at runtime, and will only apply to joints with limits as specified by the jnt_limited field.
Neither mjx.Model nor mjx.Data are meant to be constructed manually. An mjx.Data may be created by calling
mjx.make_data, which mirrors the :ref:mj_makeData function in MuJoCo:
.. code-block:: python
model = mujoco.MjModel.from_xml_string("...") mjx_model = mjx.put_model(model) mjx_data = mjx.make_data(model)
Using mjx.make_data may be preferable when constructing batched mjx.Data structures inside of a vmap.
.. _MjxFunctions:
MuJoCo functions are exposed as MJX functions of the same name, but following PEP 8 <https://peps.python.org/pep-0008/>__-compliant names. Most of the :ref:main simulation <Mainsimulation> and some of
the :ref:sub-components <Subcomponents> for forward simulation are available from the top-level mjx module.
MJX functions are not JIT compiled <https://jax.readthedocs.io/en/latest/jax-101/02-jitting.html>__ by default -- we
leave it to the user to JIT MJX functions, or JIT their own functions that reference MJX functions. See the
:ref:minimal example <MjxExample> below.
.. _MjxEnums:
MJX enums are available as mjx.EnumType.ENUM_VALUE, for example mjx.JointType.FREE. Enums for unsupported MJX
features are omitted from the MJX enum declaration. MJX declares no constants but references MuJoCo constants directly.
.. _MjxCli:
We provide two command line scripts with the mujoco-mjx package:
.. code-block:: shell
mjx-testspeed --mjcf=/PATH/TO/MJCF/ --base_path=.
This command takes in a path to an MJCF file along with optional arguments (use --help for more information)
and computes helpful metrics for performance tuning. The command will output, among other things, the total
simulation time, the total steps per second and the total realtime factor (here total is across all available
devices).
.. code-block:: shell
mjx-viewer --help
This command launches the MJX model in the simulate viewer, allowing you to visualize and interact with the model. Note this steps the simulation using MJX physics (not C MuJoCo) so it can be helpful for example for debugging solver parameters.
.. _MjxFeatureParity:
MJX supports most of the main simulation features of MuJoCo for execution on hardware-accelerated devices. MJX will
raise an exception if asked to copy an :ref:mjModel to the device that references unsupported features.
The following table compares feature support between MJX-Warp and MJX-JAX compared to MuJoCo:
.. list-table:: :width: 100% :align: left :widths: 2 4 4 :header-rows: 1
Forward <mj_forward>, :ref:Inverse <mj_inverse>Forward <mj_forward>, :ref:Inverse <mj_inverse>Joint <mjtJoint>FREE, BALL, SLIDE, HINGETransmission <mjtTrn>JOINT, JOINTINPARENT, SITE, TENDONActuator Dynamics <mjtDyn>NONE, INTEGRATOR, FILTER, FILTEREXACT, MUSCLEActuator Gain <mjtGain>FIXED, AFFINE, MUSCLEActuator Bias <mjtBias>NONE, AFFINE, MUSCLEGeom <mjtGeom>PLANE, HFIELD, SPHERE, CAPSULE, BOX, MESH are fully implemented. ELLIPSOID and
CYLINDER are implemented but only collide with other primitives [3]_, note that BOX is implemented as a mesh.Constraint <mjtConstraint>EQUALITY, LIMIT_JOINT, CONTACT_FRICTIONLESS, CONTACT_PYRAMIDAL, CONTACT_ELLIPTIC,
FRICTION_DOF, FRICTION_TENDONEquality <mjtEq>CONNECT, WELD, JOINT, TENDONIntegrator <mjtIntegrator>IMPLICITFAST midpoint integrator featureEULER, RK4, IMPLICITFAST (IMPLICITFAST not supported with :doc:fluid drag <computation/fluid>)Cone <mjtCone>PYRAMIDAL, ELLIPTICCondim <coContact>ELLIPTIC)Solver <mjtSolver>PGS, noslipCG, NEWTONflInertia onlyTendon Wrapping <mjtWrap>JOINT, SITE, PULLEY, SPHERE, CYLINDERTendons <tendon>Fixed <tendon-fixed>, :ref:Spatial <tendon-spatial>Sensors <mjtSensor>PLUGINVERTCOLLIDE, ELASTICITYDENSE and SPARSEDENSE only.. [1] Differentiability is mostly supported <https://github.com/google-deepmind/mujoco/issues/2259>__ in MJX-JAX but is
not currently available in MJX-Warp. See Warp differentiability <https://nvidia.github.io/warp/user_guide/differentiability.html>__
for more details.
.. [2] Sensors: MAGNETOMETER, CAMPROJECTION, RANGEFINDER, JOINTPOS, TENDONPOS, ACTUATORPOS,
BALLQUAT, FRAMEPOS, FRAMEXAXIS, FRAMEYAXIS, FRAMEZAXIS, FRAMEQUAT, SUBTREECOM, CLOCK,
VELOCIMETER, GYRO, JOINTVEL, TENDONVEL, ACTUATORVEL, BALLANGVEL, FRAMELINVEL,
FRAMEANGVEL, SUBTREELINVEL, SUBTREEANGMOM, TOUCH, CONTACT, ACCELEROMETER, FORCE,
TORQUE, ACTUATORFRC, JOINTACTFRC, TENDONACTFRC, FRAMELINACC, FRAMEANGACC
(CONTACT: matching none-none, geom-geom; reduction mindist, maxforce; data all)
.. [3] Geom unsupported: SDF. Collisions between (SPHERE, BOX, MESH, HFIELD) and CYLINDER.
Collisions between (BOX, MESH, HFIELD) and ELLIPSOID.
.. _MjxPerformance:
.. _MjxPerformanceWarp:
:ref:MJX-Warp <MjxWarp> mitigates performance issues around scaling the number of contacts and constraints from
:ref:MJX-JAX <MjxSharpBits>. MJX-Warp also fully supports mesh collisions. See the section on MuJoCo Warp
performance tuning here <https://mujoco.readthedocs.io/en/stable/mjwarp/index.html#performance-tuning>__.
.. _MjxPerformanceJAX:
.. note::
:ref:MJX-Warp <MjxWarp> mitigates many of the performance issues with MJX-JAX!
For MJX-JAX to perform well, some configuration parameters should be adjusted from their default MuJoCo values:
:ref:option/iterations<option-iterations> and :ref:option/ls_iterations<option-ls_iterations>
The :ref:iterations<option-iterations> and :ref:ls_iterations<option-ls_iterations> attributes---which control
solver and linesearch iterations, respectively---should be brought down to just low enough that the simulation remains
stable. Accurate solver forces are not so important in reinforcement learning in which domain randomization is often
used to add noise to physics for sim-to-real. The NEWTON :ref:Solver <mjtSolver> delivers excellent convergence
with very few (often just one) solver iterations, and performs well on GPU. CG is currently a better choice for
TPU.
:ref:contact/pair<contact-pair>
Consider explicitly marking geoms for collision detection to reduce the number of contacts that MJX-JAX must consider
during each step. Enabling only an explicit list of valid contacts can have a dramatic effect on simulation
performance in MJX-JAX. Doing this well often requires an understanding of the task -- for example, the
OpenAI Gym Humanoid <https://github.com/openai/gym/blob/master/gym/envs/mujoco/humanoid_v4.py>__ task resets when
the humanoid starts to fall, so full contact with the floor is not needed.
:ref:maxhullvert<asset-mesh-maxhullvert>
Set :ref:maxhullvert<asset-mesh-maxhullvert> to 64 or less for better convex mesh collision performance.
:ref:option/flag/eulerdamp<option-flag-eulerdamp>
Disabling eulerdamp can help performance and is often not needed for stability. Read the
:ref:Numerical Integration<geIntegration> section for details regarding the semantics of this flag.
:ref:option/jacobian<option-jacobian>
Explicitly setting "dense" or "sparse" may speed up simulation depending on your device. Modern TPUs have specialized
hardware for rapidly operating over sparse matrices, whereas GPUs tend to be faster with dense matrices as long as
they fit onto the device. As such, the behavior in MJX-JAX for the default "auto" setting is sparse if nv >= 60
(60 or more degrees of freedom), or if MJX-JAX detects a TPU as the default backend, otherwise "dense". For TPU, using
"sparse" with the Newton solver can speed up simulation by 2x to 3x. For GPU, choosing "dense" may impart a more modest
speedup of 10% to 20%, as long as the dense matrices can fit on the device.
Broadphase
While MuJoCo handles broadphase culling out of the box, MJX-JAX requires additional parameters. For an approximate
version of broadphase, use the experimental custom numeric parameters max_contact_points and max_geom_pairs.
max_contact_points caps the number of contact points sent to the solver for each condim type. max_geom_pairs
caps the total number of geom-pairs sent to respective collision functions for each geom-type pair. As an example, the
shadow hand <https://github.com/google-deepmind/mujoco/tree/main/mjx/mujoco/mjx/test_data/shadow_hand>__ environment
makes use of these parameters.
GPU performance
The following environment variables should be set:
``XLA_FLAGS=--xla_gpu_triton_gemm_any=true``
This enables the Triton-based GEMM (matmul) emitter for any GEMM that it supports. This can yield a 30% speedup on
NVIDIA GPUs. If you have multiple GPUs, you may also benefit from enabling flags related to
`communication between GPUs <https://jax.readthedocs.io/en/latest/gpu_performance_tips.html>`__.
.. _MjxSharpBits:
šŖ MJX-JAX - The Sharp Bits šŖ
==============================
.. note::
:ref:`MJX-Warp <MjxWarp>` mitigates many of the sharp bits of MJX-JAX!
GPUs and TPUs have unique performance tradeoffs that MJX-JAX is subject to. MJX-JAX specializes in simulating big batches of
parallel identical physics scenes using algorithms that can be efficiently vectorized on
`SIMD hardware <https://en.wikipedia.org/wiki/Single_instruction,_multiple_data>`__. This specialization is useful
for machine learning workloads such as `reinforcement learning <https://en.wikipedia.org/wiki/Reinforcement_learning>`__
that require massive data throughput.
There are certain workflows that MJX-JAX is ill-suited for (that MJX-Warp entirely mitigates):
Single scene simulation
Simulating a single scene (1 instance of :ref:`mjData`), MJX-JAX can be **10x** slower than MuJoCo, which has been
carefully optimized for CPU. MJX-JAX works best when simulating thousands or tens of thousands of scenes in parallel.
Collisions between large meshes
MJX-JAX supports collisions between convex mesh geometries. However the convex collision algorithms in MJX-JAX are
implemented differently than in MuJoCo. MJX-JAX uses a branchless version of the `Separating Axis Test
<https://ubm-twvideo01.s3.amazonaws.com/o1/vault/gdc2013/slides/822403Gregorius_Dirk_TheSeparatingAxisTest.pdf>`__
(SAT) to determine if geometries are colliding with convex meshes, while MuJoCo uses either MPR or GJK/EPA, see
:ref:`Collision Detection<coChecking>` for more details. SAT works well for smaller meshes but suffers in both runtime
and memory for larger meshes.
For collisions with convex meshes and primitives, the convex decomposition of the mesh should have roughly **200
vertices or less** for reasonable performance. For convex-convex collisions, the convex mesh should have roughly
**fewer than 32 vertices**. We recommend using :ref:`maxhullvert<asset-mesh-maxhullvert>` in the MuJoCo compiler to
achieve desired convex mesh properties. With careful tuning, MJX-JAX can simulate scenes with mesh collisions -- see the
MJX-JAX `shadow hand <https://github.com/google-deepmind/mujoco/tree/main/mjx/mujoco/mjx/test_data/shadow_hand>`__ config
for an example. Speeding up mesh collision detection is an active area of development for MJX-JAX.
Large, complex scenes with many contacts
Accelerators exhibit poor performance for
`branching code <https://aschrein.github.io/jekyll/update/2019/06/13/whatsup-with-my-branches-on-gpu.html#tldr>`__.
Branching is used in broad-phase collision detection, when identifying potential collisions between large numbers of
bodies in a scene. MJX-JAX ships with a simple branchless broad-phase algorithm (see performance tuning) but it is not as
powerful as the one in MuJoCo.
To see how this affects simulation, let us consider a physics scene with increasing numbers of humanoid bodies,
varied from 1 to 10. We simulate this scene using CPU MuJoCo on an Apple M3 Max and a 64-core AMD 3995WX and time
it using :ref:`testspeed<saTestspeed>`, using ``2 x numcore`` threads. We time the MJX-JAX simulation on an Nvidia
A100 GPU using a batch size of 8192 and an 8-chip
`v5 TPU <https://cloud.google.com/blog/products/compute/announcing-cloud-tpu-v5e-and-a3-gpus-in-ga>`__
machine using a batch size of 16384. Note the vertical scale is logarithmic.
.. figure:: images/mjx/SPS.svg
:width: 95%
:align: center
The values for a single humanoid (leftmost datapoints) for the four timed architectures are **650K**, **1.8M**,
**950K** and **2.7M** steps per second, respectively. Note that as we increase the number of humanoids (which
increases the number of potential contacts in a scene), MJX-JAX throughput decreases more rapidly than MuJoCo.