diff --git a/docs/src/egraphs.md b/docs/src/egraphs.md
index 9fe1d229..fa6a80a7 100644
--- a/docs/src/egraphs.md
+++ b/docs/src/egraphs.md
@@ -269,7 +269,7 @@ The `EGraph{E,A}` type is parametrized by the expression type `E` and the
 
 The following functions define an interface for analyses based on multiple dispatch:
  
-* [make(g::EGraph{ExprType, AnalysisType}, n)](@ref) should take an e-node `n::VecExpr` and return a value from the analysis domain.
+* [make(g::EGraph{ExprType, AnalysisType}, n, md)](@ref) should take an e-node `n::VecExpr`, and metadata `md` from an expression (possibly `noting`), and return a value from the analysis domain.
 * [join(x::AnalysisType, y::AnalysisType)](@ref) should return the semilattice join of `x` and `y` in the analysis domain (e.g. *given two analyses value from ENodes in the same EClass, which one should I choose?* or *how should they be merged?*).`Base.isless` must be defined.
 * [modify!(g::EGraph{ExprType, AnalysisType}, eclass::EClass{AnalysisType})](@ref) Can be optionally implemented. This can be used modify an EClass `egraph[eclass.id]` on-the-fly during an e-graph saturation iteration, given its analysis value, typically by adding an e-node.
 
@@ -325,7 +325,9 @@ From the definition of an e-node, we know that children of e-nodes are always ID
 to e-classes in the `EGraph`.
 
 ```@example custom_analysis
-function EGraphs.make(g::EGraph{ExpressionType,OddEvenAnalysis}, op, n::VecExpr) where {ExpressionType}
+function EGraphs.make(g::EGraph{ExpressionType,OddEvenAnalysis}, op, n::VecExpr, md) where {ExpressionType}
+    # metadata `md` is not used in this instance.
+    
     v_isexpr(n) || return odd_even_base_case(op)
     # The e-node is not a literal value,
     # Let's consider only binary function call terms.
diff --git a/src/EGraphs/egraph.jl b/src/EGraphs/egraph.jl
index fe84b1ae..1a980f39 100644
--- a/src/EGraphs/egraph.jl
+++ b/src/EGraphs/egraph.jl
@@ -424,8 +424,9 @@ function process_unions!(g::EGraph{ExpressionType,AnalysisType})::Int where {Exp
       eclass_id = find(g, eclass_id)
       eclass_id_key = IdKey(eclass_id)
       eclass = g.classes[eclass_id_key]
+      md = eclass.data
 
-      node_data = make(g, node)
+      node_data = make(g, node, md)
       if !isnothing(eclass.data)
         joined_data = join(eclass.data, node_data)
 
@@ -469,7 +470,7 @@ end
 function check_analysis(g)
   for (id, eclass) in g.classes
     isnothing(eclass.data) && continue
-    pass = mapreduce(x -> make(g, x), (x, y) -> join(x, y), eclass)
+    pass = mapreduce(x -> make(g, x, x.data), (x, y) -> join(x, y), eclass)
     @assert eclass.data == pass
   end
   true
diff --git a/test/egraphs/analysis.jl b/test/egraphs/analysis.jl
index 092031f6..1266e0b4 100644
--- a/test/egraphs/analysis.jl
+++ b/test/egraphs/analysis.jl
@@ -15,7 +15,7 @@ Base.:(*)(a::NumberFoldAnalysis, b::NumberFoldAnalysis) = NumberFoldAnalysis(a.n
 Base.:(+)(a::NumberFoldAnalysis, b::NumberFoldAnalysis) = NumberFoldAnalysis(a.n + b.n)
 
 # This should be auto-generated by a macro
-function EGraphs.make(g::EGraph{ExpressionType,NumberFoldAnalysis}, n::VecExpr) where {ExpressionType}
+function EGraphs.make(g::EGraph{ExpressionType,NumberFoldAnalysis}, n::VecExpr, md) where {ExpressionType}
   h = get_constant(g, v_head(n))
   v_isexpr(n) || return h isa Number ? NumberFoldAnalysis(h) : nothing
   if v_iscall(n) && v_arity(n) == 2
diff --git a/test/integration/cas.jl b/test/integration/cas.jl
index 08a34749..23151e83 100644
--- a/test/integration/cas.jl
+++ b/test/integration/cas.jl
@@ -215,7 +215,7 @@ end
 # ex = rewrite(ex, canonical_t; clean=false)
 
 
-function EGraphs.make(g::EGraph{Expr,Type}, n::VecExpr)
+function EGraphs.make(g::EGraph{Expr,Type}, n::VecExpr, md)
   h = get_constant(g, v_head(n))
   v_isexpr(n) || return (h in (:im, im) ? Complex : typeof(h))
   v_iscall(n) || return (Any)
diff --git a/test/tutorials/lambda_theory.jl b/test/tutorials/lambda_theory.jl
index 9f74a725..8df1eea8 100644
--- a/test/tutorials/lambda_theory.jl
+++ b/test/tutorials/lambda_theory.jl
@@ -104,7 +104,7 @@ const LambdaAnalysis = Set{Symbol}
 
 getdata(eclass) = eclass.data
 
-function EGraphs.make(g::EGraph{ExprType,LambdaAnalysis}, n::VecExpr) where {ExprType}
+function EGraphs.make(g::EGraph{ExprType,LambdaAnalysis}, n::VecExpr, md) where {ExprType}
   v_isexpr(n) || return LambdaAnalysis()
   if v_iscall(n)
     h = v_head(n)