diff --git a/Project.toml b/Project.toml
index 78a9be9..a2b86cd 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,7 +1,7 @@
 name = "Constraints"
 uuid = "30f324ab-b02d-43f0-b619-e131c61659f7"
 authors = ["Jean-François Baffier"]
-version = "0.1.5"
+version = "0.1.6"
 
 [deps]
 CompositionalNetworks = "4b67e4b5-442d-4ef5-b760-3f5df3a57537"
@@ -9,9 +9,9 @@ ConstraintDomains = "5800fd60-8556-4464-8d61-84ebf7a0bedb"
 Dictionaries = "85a47980-9c8c-11e8-2b9f-f7ca1fa99fb4"
 
 [compat]
-ConstraintDomains = "0.1.1"
-CompositionalNetworks = "0.1.2"
-Dictionaries = "0.3.6"
+CompositionalNetworks = "0.1.3"
+ConstraintDomains = "0.1.2"
+Dictionaries = "0.3"
 julia = "1.5, 1.6"
 
 [extras]
diff --git a/docs/Project.toml b/docs/Project.toml
index d87c885..8889d0e 100644
--- a/docs/Project.toml
+++ b/docs/Project.toml
@@ -1,3 +1,5 @@
 [deps]
+CompositionalNetworks = "4b67e4b5-442d-4ef5-b760-3f5df3a57537"
+ConstraintDomains = "5800fd60-8556-4464-8d61-84ebf7a0bedb"
 Constraints = "30f324ab-b02d-43f0-b619-e131c61659f7"
 Documenter = "e30172f5-a6a5-5a46-863b-614d45cd2de4"
diff --git a/docs/make.jl b/docs/make.jl
index 1371d8c..bb2c1ff 100644
--- a/docs/make.jl
+++ b/docs/make.jl
@@ -1,8 +1,10 @@
 using Constraints
+using CompositionalNetworks
+using ConstraintDomains
 using Documenter
 
 makedocs(;
-    modules=[Constraints],
+    modules=[Constraints, ConstraintDomains, CompositionalNetworks],
     authors="Jean-François Baffier",
     repo="https://github.com/JuliaConstraints/Constraints.jl/blob/{commit}{path}#L{line}",
     sitename="Constraints.jl",
@@ -13,8 +15,15 @@ makedocs(;
     ),
     pages=[
         "Home" => "index.md",
-        "Library" => "library.md",
-        "Contributing" => "contributing.md",
+        "Learning (ICN)" => "learning.md",
+        "Dependencies" => [
+            "ConstraintDomains.jl" => "domain.md",
+            "CompositionalNetworks.jl" => "icn.md",
+        ],
+        "Library" => [
+            "Public" => "public.md",
+            "Internal" => "internal.md"
+        ],
     ],
 )
 
diff --git a/docs/src/domain.md b/docs/src/domain.md
new file mode 100644
index 0000000..64ae2b4
--- /dev/null
+++ b/docs/src/domain.md
@@ -0,0 +1,7 @@
+# ConstraintDomains.jl
+
+Currently only discrete domains are supported using the following function. 
+
+```@docs
+ConstraintDomains.domain
+```
\ No newline at end of file
diff --git a/docs/src/icn.md b/docs/src/icn.md
new file mode 100644
index 0000000..3ae214f
--- /dev/null
+++ b/docs/src/icn.md
@@ -0,0 +1,58 @@
+# CompositionalNetworks.jl
+
+```@contents
+Pages = ["public.md"]
+Depth = 5
+```
+
+`CompositionalNetworks.jl`, a Julia package for Interpretable Compositional Networks (ICN), a variant of neural networks, allowing the user to get interpretable results, unlike regular artificial neural networks.
+
+The current state of our ICN focuses on the composition of error functions for `LocalSearchSolvers.jl`, but produces results independently of it and export it to either/both Julia functions or/and human readable output.
+
+### How does it work?
+
+The package comes with a basic ICN for learning global constraints. The ICN is composed of 4 layers: `transformation`, `arithmetic`, `aggregation`, and `comparison`. Each contains several operations that can be composed in various ways.
+Given a `concept` (a predicate over the variables' domains), a metric (`hamming` by default), and the variables' domains, we learn the binary weights of the ICN. 
+
+## Installation
+
+```julia
+] add CompositionalNetworks
+```
+
+As the package is in a beta version, some changes in the syntax and features are likely to occur. However, those changes should be minimal between minor versions. Please update with caution.
+
+## Quickstart
+
+```julia
+# 4 variables in 1:4
+doms = [domain([1,2,3,4]) for i in 1:4]
+
+# allunique concept (that is used to define the :all_different constraint)
+err = explore_learn_compose(allunique, domains=doms)
+# > interpretation: identity ∘ count_positive ∘ sum ∘ count_eq_left
+
+# test our new error function
+@assert err([1,2,3,3], dom_size = 4) > 0.0
+
+# export an all_different function to file "current/path/test_dummy.jl" 
+compose_to_file!(icn, "all_different", "test_dummy.jl")
+```
+
+The output file should produces a function that can be used as follows (assuming the maximum domain size is `7`)
+
+```julia
+import CompositionalNetworks
+
+all_different([1,2,3,4,5,6,7]; dom_size = 7)
+# > 0.0 (which means true, no errors)
+```
+
+Please see `JuliaConstraints/Constraints.jl/learn.jl` for an extensive example of ICN learning and compositions.
+
+## Public interface
+
+```@autodocs
+Modules = [CompositionalNetworks]
+Private = false
+```
diff --git a/docs/src/index.md b/docs/src/index.md
index 07409d8..e321f45 100644
--- a/docs/src/index.md
+++ b/docs/src/index.md
@@ -2,5 +2,43 @@
 CurrentModule = Constraints
 ```
 
-# Constraints for JuliaConstraints front packages
+# Constraints.jl
 
+A  back-end pacage for JuliaConstraints front packages, such as `LocalSearchSolvers.jl`.
+
+It provides the following features:
+- A dictionary to store usual constraint: `usual_contraint`, which contains the following entries
+  - `:all_different`
+  - `:dist_different`
+  - `:eq`, `:all_equal`, `:all_equal_param`
+  - `:ordered`
+  - `:always_true` (mainly for testing default `Constraint()` constructor)
+- For each constraint `c`, the following properties
+  - arguments length
+  - concept (predicate the variables compliance with `c`)
+  - error (a function that evaluate how much `c` is violated)
+  - parameters length
+  - known symmetries of `c`
+- A learning function using `CompositionalNetworks.jl`. If no error function is given when instanciating `c`, it will check the existence of a composition related to `c` and set the error to it.
+
+Follow the list of the constraints currently stored in `usual_constraint`. Note that if the constraint is named `_my_constraint`, it can be accessed as `usual_contraint[:my_constraint]`.
+
+```@docs
+Constraints._all_different
+Constraints._all_equal
+Constraints._all_equal_param
+Constraints._dist_different
+Constraints._eq
+Constraints._ordered
+```
+
+## Contributing
+
+Contributions to this package are more than welcome and can be arbitrarily, and not exhaustively, split as follows:
+- Adding new constraints and symmetries
+- Adding new ICNs to learn error of existing constraints
+- Creating other compositional networks which target other kind of constraints
+- Just making stuff better, faster, user-friendlier, etc.
+
+### Contact
+Do not hesitate to contact me (@azzaare) or other members of JuliaConstraints on GitHub (file an issue), the julialang discourse forum, the julialang slack channel, the julialang zulip server, or the Human of Julia (HoJ) discord server.
\ No newline at end of file
diff --git a/docs/src/internal.md b/docs/src/internal.md
new file mode 100644
index 0000000..2b6de61
--- /dev/null
+++ b/docs/src/internal.md
@@ -0,0 +1,11 @@
+# Internal
+
+```@contents
+Pages = ["internal.md"]
+Depth = 5
+```
+
+```@autodocs
+Modules = [Constraints]
+Public = false
+```
diff --git a/docs/src/contributing.md b/docs/src/learning.md
similarity index 100%
rename from docs/src/contributing.md
rename to docs/src/learning.md
diff --git a/docs/src/library.md b/docs/src/library.md
deleted file mode 100644
index f836bc9..0000000
--- a/docs/src/library.md
+++ /dev/null
@@ -1,8 +0,0 @@
-# List of constraints
-
-```@index
-```
-
-```@autodocs
-Modules = [Constraints]
-```
\ No newline at end of file
diff --git a/docs/src/public.md b/docs/src/public.md
new file mode 100644
index 0000000..1afde1f
--- /dev/null
+++ b/docs/src/public.md
@@ -0,0 +1,11 @@
+# Public
+
+```@contents
+Pages = ["public.md"]
+Depth = 5
+```
+
+```@autodocs
+Modules = [Constraints]
+Private = false
+```
diff --git a/src/Constraints.jl b/src/Constraints.jl
index 6b5b36c..f26b1f2 100644
--- a/src/Constraints.jl
+++ b/src/Constraints.jl
@@ -7,7 +7,7 @@ import CompositionalNetworks: hamming, explore_learn_compose, compose_to_file!
 import ConstraintDomains: domain
 
 # Exports
-export Constraint, usual_constraints
+export Constraint, usual_constraints, usual_symmetries
 export args_length, concept, error_f, params_length, symmetries
 
 # Includes internals
diff --git a/src/compositions/_icn_all_different.jl b/src/compositions/_icn_all_different.jl
index b808ccb..df05dd9 100644
--- a/src/compositions/_icn_all_different.jl
+++ b/src/compositions/_icn_all_different.jl
@@ -1,3 +1,3 @@
 function _icn_all_different(x; param=nothing, dom_size)
-    fill(x, 1) .|> map(f -> (y -> f(y; param=param)), [CompositionalNetworks._tr_count_eq_left]) |> CompositionalNetworks._ar_prod |> CompositionalNetworks._ag_count_positive |> (y -> CompositionalNetworks._co_identity(y; param=param, dom_size=dom_size, nvars=length(x)))
+    fill(x, 1) .|> map(f -> (y -> f(y; param=param)), [CompositionalNetworks._tr_count_eq_right]) |> CompositionalNetworks._ar_sum |> CompositionalNetworks._ag_count_positive |> (y -> CompositionalNetworks._co_identity(y; param=param, dom_size=dom_size, nvars=length(x)))
 end
diff --git a/src/compositions/_icn_all_equal.jl b/src/compositions/_icn_all_equal.jl
index e744da1..1fde1fc 100644
--- a/src/compositions/_icn_all_equal.jl
+++ b/src/compositions/_icn_all_equal.jl
@@ -1,3 +1,3 @@
 function _icn_all_equal(x; param=nothing, dom_size)
-    fill(x, 1) .|> map(f -> (y -> f(y; param=param)), [CompositionalNetworks._tr_identity]) |> CompositionalNetworks._ar_prod |> CompositionalNetworks._ag_count_positive |> (y -> CompositionalNetworks._co_euclidian(y; param=param, dom_size=dom_size, nvars=length(x)))
+    fill(x, 1) .|> map(f -> (y -> f(y; param=param)), [CompositionalNetworks._tr_identity]) |> CompositionalNetworks._ar_sum |> CompositionalNetworks._ag_count_positive |> (y -> CompositionalNetworks._co_euclidian(y; param=param, dom_size=dom_size, nvars=length(x)))
 end
diff --git a/src/compositions/_icn_all_equal_param.jl b/src/compositions/_icn_all_equal_param.jl
index 3e309f0..d94197d 100644
--- a/src/compositions/_icn_all_equal_param.jl
+++ b/src/compositions/_icn_all_equal_param.jl
@@ -1,3 +1,3 @@
 function _icn_all_equal_param(x; param=nothing, dom_size)
-    fill(x, 1) .|> map(f -> (y -> f(y; param=param)), [CompositionalNetworks._tr_count_g_param]) |> CompositionalNetworks._ar_sum |> CompositionalNetworks._ag_sum |> (y -> CompositionalNetworks._co_vars_minus_val(y; param=param, dom_size=dom_size, nvars=length(x)))
+    fill(x, 5) .|> map(f -> (y -> f(y; param=param)), [CompositionalNetworks._tr_val_minus_param, CompositionalNetworks._tr_count_g_param, CompositionalNetworks._tr_count_l_right, CompositionalNetworks._tr_count_lesser, CompositionalNetworks._tr_count_eq]) |> CompositionalNetworks._ar_sum |> CompositionalNetworks._ag_count_positive |> (y -> CompositionalNetworks._co_identity(y; param=param, dom_size=dom_size, nvars=length(x)))
 end
diff --git a/src/compositions/_icn_dist_different.jl b/src/compositions/_icn_dist_different.jl
index 6741974..eab0b0a 100644
--- a/src/compositions/_icn_dist_different.jl
+++ b/src/compositions/_icn_dist_different.jl
@@ -1,3 +1,3 @@
 function _icn_dist_different(x; param=nothing, dom_size)
-    fill(x, 4) .|> map(f -> (y -> f(y; param=param)), [CompositionalNetworks._tr_count_l_right, CompositionalNetworks._tr_count_lesser, CompositionalNetworks._tr_count_greater, CompositionalNetworks._tr_count_eq_left]) |> CompositionalNetworks._ar_sum |> CompositionalNetworks._ag_count_positive |> (y -> CompositionalNetworks._co_vars_minus_val(y; param=param, dom_size=dom_size, nvars=length(x)))
+    fill(x, 4) .|> map(f -> (y -> f(y; param=param)), [CompositionalNetworks._tr_count_l_left, CompositionalNetworks._tr_count_lesser, CompositionalNetworks._tr_count_greater, CompositionalNetworks._tr_count_eq_right]) |> CompositionalNetworks._ar_sum |> CompositionalNetworks._ag_count_positive |> (y -> CompositionalNetworks._co_abs_diff_val_vars(y; param=param, dom_size=dom_size, nvars=length(x)))
 end
diff --git a/src/compositions/_icn_eq.jl b/src/compositions/_icn_eq.jl
index 601c775..9a40539 100644
--- a/src/compositions/_icn_eq.jl
+++ b/src/compositions/_icn_eq.jl
@@ -1,3 +1,3 @@
 function _icn_eq(x; param=nothing, dom_size)
-    fill(x, 1) .|> map(f -> (y -> f(y; param=param)), [CompositionalNetworks._tr_count_greater]) |> CompositionalNetworks._ar_sum |> CompositionalNetworks._ag_sum |> (y -> CompositionalNetworks._co_identity(y; param=param, dom_size=dom_size, nvars=length(x)))
+    fill(x, 1) .|> map(f -> (y -> f(y; param=param)), [CompositionalNetworks._tr_count_lesser]) |> CompositionalNetworks._ar_sum |> CompositionalNetworks._ag_sum |> (y -> CompositionalNetworks._co_identity(y; param=param, dom_size=dom_size, nvars=length(x)))
 end
diff --git a/src/compositions/_icn_ordered.jl b/src/compositions/_icn_ordered.jl
index 73ea8f3..786cdbf 100644
--- a/src/compositions/_icn_ordered.jl
+++ b/src/compositions/_icn_ordered.jl
@@ -1,3 +1,3 @@
 function _icn_ordered(x; param=nothing, dom_size)
-    fill(x, 1) .|> map(f -> (y -> f(y; param=param)), [CompositionalNetworks._tr_count_l_right]) |> CompositionalNetworks._ar_sum |> CompositionalNetworks._ag_count_positive |> (y -> CompositionalNetworks._co_identity(y; param=param, dom_size=dom_size, nvars=length(x)))
+    fill(x, 1) .|> map(f -> (y -> f(y; param=param)), [CompositionalNetworks._tr_contiguous_vals_minus]) |> CompositionalNetworks._ar_sum |> CompositionalNetworks._ag_count_positive |> (y -> CompositionalNetworks._co_identity(y; param=param, dom_size=dom_size, nvars=length(x)))
 end
diff --git a/src/learn.jl b/src/learn.jl
index 0a9b7ff..1bc0cdd 100644
--- a/src/learn.jl
+++ b/src/learn.jl
@@ -23,28 +23,16 @@ function learn_from_icn()
 
     config = Dict(
         :local_iter => 100,
-        :global_iter => 1,
+        :global_iter => 10,
         :search => :complete,
         :metric => hamming,
         :population => 400,
     )
 
     path = joinpath(dirname(pathof(Constraints)),"compositions")
-    @info "path" path
 
     for t in targets
         @info "Starting learning for $(t.first)"
-        @info "param" get(t.second, :param, nothing)
-        err = explore_learn_compose(
-            concept(usual_constraints[t.first]);
-            domains=t.second[:domains],
-            param=get(t.second, :param, nothing),
-            local_iter=config[:local_iter],
-            global_iter=config[:global_iter],
-            search=config[:search],
-            metric=config[:metric],
-            popSize=config[:population],    
-        )
         name = "_icn_$(t.first)"
         compose_to_file!(
             concept(usual_constraints[t.first]),