diff --git a/src/adtypes_interface.jl b/src/adtypes_interface.jl
index b2b685b..c9da8f3 100644
--- a/src/adtypes_interface.jl
+++ b/src/adtypes_interface.jl
@@ -1,9 +1,10 @@
 #= This file implements the ADTypes interface for `AbstractSparsityDetector`s =#
 
-const DEFAULT_GRADIENT_TRACER = GradientTracer{IndexSetGradientPattern{Int,BitSet}}
-const DEFAULT_HESSIAN_TRACER = HessianTracer{
-    DictHessianPattern{Int,BitSet,Dict{Int,BitSet},NotShared}
-}
+const DEFAULT_GRADIENT_PATTERN = IndexSetGradientPattern{Int,BitSet}
+const DEFAULT_GRADIENT_TRACER = GradientTracer{DEFAULT_GRADIENT_PATTERN}
+
+const DEFAULT_HESSIAN_PATTERN = DictHessianPattern{Int,BitSet,Dict{Int,BitSet},NotShared}
+const DEFAULT_HESSIAN_TRACER = HessianTracer{DEFAULT_HESSIAN_PATTERN}
 
 """
     TracerSparsityDetector <: ADTypes.AbstractSparsityDetector
@@ -18,17 +19,18 @@ For local sparsity patterns at a specific input point, use [`TracerLocalSparsity
 ```jldoctest
 julia> using SparseConnectivityTracer
 
-julia> jacobian_sparsity(diff, rand(4), TracerSparsityDetector())
+julia> detector = TracerSparsityDetector()
+TracerSparsityDetector()
+
+julia> jacobian_sparsity(diff, rand(4), detector)
 3×4 SparseArrays.SparseMatrixCSC{Bool, Int64} with 6 stored entries:
  1  1  ⋅  ⋅
  ⋅  1  1  ⋅
  ⋅  ⋅  1  1
-```
 
-```jldoctest
 julia> f(x) = x[1] + x[2]*x[3] + 1/x[4];
 
-julia> hessian_sparsity(f, rand(4), TracerSparsityDetector())
+julia> hessian_sparsity(f, rand(4), detector)
 4×4 SparseArrays.SparseMatrixCSC{Bool, Int64} with 3 stored entries:
  ⋅  ⋅  ⋅  ⋅
  ⋅  ⋅  1  ⋅
@@ -77,23 +79,24 @@ Local sparsity patterns are less convervative than global patterns and need to b
 ```jldoctest
 julia> using SparseConnectivityTracer
 
-julia> method = TracerLocalSparsityDetector();
+julia> detector = TracerLocalSparsityDetector()
+TracerLocalSparsityDetector()
 
 julia> f(x) = x[1] * x[2]; # J_f = [x[2], x[1]]
 
-julia> jacobian_sparsity(f, [1, 0], method)
+julia> jacobian_sparsity(f, [1, 0], detector)
 1×2 SparseArrays.SparseMatrixCSC{Bool, Int64} with 1 stored entry:
  ⋅  1
 
-julia> jacobian_sparsity(f, [0, 1], method)
+julia> jacobian_sparsity(f, [0, 1], detector)
 1×2 SparseArrays.SparseMatrixCSC{Bool, Int64} with 1 stored entry:
  1  ⋅
 
-julia> jacobian_sparsity(f, [0, 0], method)
+julia> jacobian_sparsity(f, [0, 0], detector)
 1×2 SparseArrays.SparseMatrixCSC{Bool, Int64} with 0 stored entries:
  ⋅  ⋅
 
-julia> jacobian_sparsity(f, [1, 1], method)
+julia> jacobian_sparsity(f, [1, 1], detector)
 1×2 SparseArrays.SparseMatrixCSC{Bool, Int64} with 2 stored entries:
  1  1
 ```
@@ -155,3 +158,15 @@ end
 function ADTypes.hessian_sparsity(f, x, ::TracerLocalSparsityDetector{TG,TH}) where {TG,TH}
     return _local_hessian_sparsity(f, x, TH)
 end
+
+## Pretty printing
+for detector in (:TracerSparsityDetector, :TracerLocalSparsityDetector)
+    @eval function Base.show(io::IO, d::$detector{TG,TH}) where {TG,TH}
+        if TG == DEFAULT_GRADIENT_TRACER && TH == DEFAULT_HESSIAN_TRACER
+            println(io, $detector, "()")
+        else
+            println(io, $detector, "{", TG, ",", TH, "}()")
+        end
+        return nothing
+    end
+end
diff --git a/src/patterns.jl b/src/patterns.jl
index c8d4a70..3222685 100644
--- a/src/patterns.jl
+++ b/src/patterns.jl
@@ -176,8 +176,6 @@ struct IndexSetGradientPattern{I<:Integer,S<:AbstractSet{I}} <: AbstractGradient
     gradient::S
 end
 
-Base.show(io::IO, p::IndexSetGradientPattern) = Base.show(io, gradient(p))
-
 function myempty(::Type{IndexSetGradientPattern{I,S}}) where {I,S}
     return IndexSetGradientPattern{I,S}(myempty(S))
 end
diff --git a/src/tracers.jl b/src/tracers.jl
index 4bf041b..5e33d28 100644
--- a/src/tracers.jl
+++ b/src/tracers.jl
@@ -45,17 +45,6 @@ isemptytracer(t::GradientTracer) = t.isempty
 pattern(t::GradientTracer) = t.pattern
 gradient(t::GradientTracer) = gradient(pattern(t))
 
-function Base.show(io::IO, t::GradientTracer)
-    print(io, typeof(t))
-    if isemptytracer(t)
-        print(io, "()")
-    else
-        printsorted(io, gradient(t))
-    end
-    println(io)
-    return nothing
-end
-
 #===============#
 # HessianTracer #
 #===============#
@@ -88,20 +77,6 @@ pattern(t::HessianTracer) = t.pattern
 gradient(t::HessianTracer) = gradient(pattern(t))
 hessian(t::HessianTracer) = hessian(pattern(t))
 
-function Base.show(io::IO, t::HessianTracer)
-    print(io, typeof(t))
-    if isemptytracer(t)
-        print(io, "()")
-    else
-        print(io, "(\n", "  Gradient:")
-        printlnsorted(io, gradient(t))
-        print(io, "  Hessian: ")
-        printlnsorted(io, hessian(t))
-        println(io, ")")
-    end
-    return nothing
-end
-
 #================================#
 # Dual numbers for local tracing #
 #================================#
@@ -178,12 +153,3 @@ name(::Type{T}) where {T<:HessianTracer}  = "HessianTracer"
 name(::Type{D}) where {P,T,D<:Dual{P,T}}  = "Dual-$(name(T))"
 name(::T) where {T<:AbstractTracer}       = name(T)
 name(::D) where {D<:Dual}                 = name(D)
-
-# Utilities for printing sets
-printsorted(io::IO, x) = Base.show_delim_array(io, sort(x), "(", ',', ')', true)
-printsorted(io::IO, s::AbstractSet) = printsorted(io, collect(s))
-function printlnsorted(io::IO, x)
-    printsorted(io, x)
-    println(io)
-    return nothing
-end