diff --git a/README.md b/README.md
index d0d9f8a..2e0b309 100644
--- a/README.md
+++ b/README.md
@@ -6,4 +6,32 @@
 
 Coix (COmbinators In jaX) is a flexible and backend-agnostic implementation of inference combinators [(Stites and Zimmermann et al., 2021)](https://arxiv.org/abs/2103.00668), a set of program transformations for compositional inference with probabilistic programs. Coix ships with backends for numpyro and oryx, and a set of pre-implemented losses and utility functions that allows to implement and run a wide variety of inference algorithms out-of-the-box.
 
+Coix is a lightweight framework which includes the following main components:
+
+- **coix.api:** Implementation of the program combinators.
+- **coix.core:** Basic program transformations which are used to modify behavior of a stochastic program.
+- **coix.loss:** Common objectives for variational inference.
+- **coix.algo:** Example inference algorithms.
+
+Currently, we support [numpyro](https://github.com/pyro-ppl/numpyro) and [oryx](https://github.com/jax-ml/oryx) backends. But other backends can be easily added via the [coix.register_backend](https://coix.readthedocs.io/en/latest/core.html#coix.core.register_backend) utility.
+
 *This is not an officially supported Google product.*
+
+## Installation
+
+To install Coix, you can use pip:
+
+```
+pip install coix
+```
+
+or you can clone the repository:
+
+```
+git clone https://github.com/jax-ml/coix.git
+cd coix
+pip install -e .[dev,doc]
+```
+
+Many examples would run faster on accelerators. You can follow the [JAX installation](https://jax.readthedocs.io/en/latest/installation.html) instruction for how to install JAX with GPU or TPU support.
+
diff --git a/coix/core.py b/coix/core.py
index f47a393..e34abed 100644
--- a/coix/core.py
+++ b/coix/core.py
@@ -137,10 +137,12 @@ def wrapped(*args, **kwargs):
 
 
 def empirical(out, trace, metrics):
+  """Creates an empirical program given a trace."""
   return get_backend()["empirical"](out, trace, metrics)
 
 
 def suffix(p):
+  """Adds suffix `_PREV_` to variable names of `p`."""
   fn = get_backend()["suffix"]
   if fn is not None:
     return fn(p)
@@ -149,6 +151,7 @@ def suffix(p):
 
 
 def detach(p):
+  """Makes random variables in `p` become non-reparameterized."""
   fn = get_backend()["detach"]
   if fn is not None:
     return fn(p)
@@ -157,6 +160,7 @@ def detach(p):
 
 
 def stick_the_landing(p):
+  """Stops gradient of distributions' parameters before computing log prob."""
   fn = get_backend()["stick_the_landing"]
   if fn is not None:
     return fn(p)
@@ -165,6 +169,7 @@ def stick_the_landing(p):
 
 
 def prng_key():
+  """Generates a random JAX PRNGKey."""
   fn = get_backend()["prng_key"]
   if fn is not None:
     return fn()