diff --git a/docs/src/index.md b/docs/src/index.md
index a08d9ec1..47a233ba 100644
--- a/docs/src/index.md
+++ b/docs/src/index.md
@@ -26,5 +26,4 @@ trace_input
 The following utilities can be used to extract input indices from [`Tracer`](@ref)s:
 ```@docs
 inputs
-sortedinputs
 ```
diff --git a/src/SparseConnectivityTracer.jl b/src/SparseConnectivityTracer.jl
index 5a08f71c..8e3f3806 100644
--- a/src/SparseConnectivityTracer.jl
+++ b/src/SparseConnectivityTracer.jl
@@ -9,7 +9,7 @@ include("connectivity.jl")
 
 export Tracer
 export tracer, trace_input
-export inputs, sortedinputs
+export inputs
 export connectivity
 
 end # module
diff --git a/src/tracer.jl b/src/tracer.jl
index 1c8f1a8c..cee0c7d7 100644
--- a/src/tracer.jl
+++ b/src/tracer.jl
@@ -74,10 +74,10 @@ julia> M * [x, y]
 ```
 """
 struct Tracer <: Number
-    inputs::Set{UInt64} # indices of connected, enumerated inputs
+    inputs::BitSet # indices of connected, enumerated inputs
 end
 
-const EMPTY_TRACER = Tracer(Set{UInt64}())
+const EMPTY_TRACER = Tracer(BitSet())
 
 # We have to be careful when defining constructors:
 # Generic code expecting "regular" numbers `x` will sometimes convert them 
@@ -94,8 +94,8 @@ uniontracer(a::Tracer, b::Tracer) = Tracer(union(a.inputs, b.inputs))
 
 Convenience constructor for [`Tracer`](@ref) from input indices.
 """
-tracer(index::Integer) = Tracer(Set{UInt64}(index))
-tracer(inds::NTuple{N,<:Integer}) where {N} = Tracer(Set{UInt64}(inds))
+tracer(index::Integer) = Tracer(BitSet(index))
+tracer(inds::NTuple{N,<:Integer}) where {N} = Tracer(BitSet(inds))
 tracer(inds...)                             = tracer(inds)
 
 # Utilities for accessing input indices
@@ -103,7 +103,6 @@ tracer(inds...)                             = tracer(inds)
     inputs(tracer)
 
 Return raw `UInt64` input indices of a [`Tracer`](@ref).
-See also [`sortedinputs`](@ref).
 
 ## Example
 ```jldoctest
@@ -111,42 +110,14 @@ julia> t = tracer(1, 2, 4)
 Tracer(1, 2, 4)
 
 julia> inputs(t)
-3-element Vector{UInt64}:
- 0x0000000000000004
- 0x0000000000000002
- 0x0000000000000001
-```
-"""
-inputs(t::Tracer) = collect(keys(t.inputs.dict))
-
-"""
-    sortedinputs(tracer)
-    sortedinputs([T=Int], tracer)
-
-Return sorted input indices of a [`Tracer`](@ref).
-See also [`inputs`](@ref).
-
-## Example
-```jldoctest
-julia> t = tracer(1, 2, 4)
-Tracer(1, 2, 4)
-
-julia> sortedinputs(t)
 3-element Vector{Int64}:
  1
  2
  4
-
-julia> sortedinputs(UInt8, t)
-3-element Vector{UInt8}:
- 0x01
- 0x02
- 0x04
 ```
 """
-sortedinputs(t::Tracer) = sortedinputs(Int, t)
-sortedinputs(T::Type, t::Tracer) = convert.(T, sort!(inputs(t)))
+inputs(t::Tracer) = collect(t.inputs)
 
 function Base.show(io::IO, t::Tracer)
-    return Base.show_delim_array(io, sortedinputs(Int, t), "Tracer(", ',', ')', true)
+    return Base.show_delim_array(io, inputs(t), "Tracer(", ',', ')', true)
 end
diff --git a/test/benchmark.jl b/test/benchmark.jl
index 3b5ddaa5..5b614e16 100644
--- a/test/benchmark.jl
+++ b/test/benchmark.jl
@@ -1,6 +1,7 @@
 using BenchmarkTools
 using SparseConnectivityTracer
 using Symbolics: Symbolics
+using NNlib: conv
 
 include("brusselator.jl")
 
@@ -24,8 +25,29 @@ function benchmark_brusselator(N::Integer, method=:tracer)
     end
 end
 
-benchmark_brusselator(6, :tracer)
-benchmark_brusselator(6, :symbolics)
+function benchmark_conv(method=:tracer)
+    x = rand(28, 28, 3, 1) # WHCN image 
+    w = rand(5, 5, 3, 16)  # corresponds to Conv((5, 5), 3 => 16)
+    f(x) = conv(x, w)
 
-benchmark_brusselator(24, :tracer)
-benchmark_brusselator(24, :symbolics)
+    if method == :tracer
+        return @benchmark connectivity($f, $x)
+    elseif method == :symbolics
+        return @benchmark Symbolics.jacobian_sparsity($f, $x)
+    end
+end
+
+## Run Brusselator benchmarks
+for N in (6, 24)
+    for method in (:tracer, :symbolics)
+        @info "Benchmarking Brusselator of size $N with $method..."
+        b = benchmark_brusselator(N, method)
+        display(b)
+    end
+end
+
+## Run conv benchmarks
+@info "Benchmarking NNlib.conv with tracer..."
+# Symbolics fails on this example
+b = benchmark_conv(:tracer)
+display(b)
diff --git a/test/runtests.jl b/test/runtests.jl
index 2084e43d..048ea94d 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -44,16 +44,16 @@ DocMeta.setdocmeta!(
         # Matrix multiplication
         A = rand(1, 3)
         yt = only(A * xt)
-        @test sortedinputs(yt) == [1, 2, 3]
+        @test inputs(yt) == [1, 2, 3]
 
         @test connectivity(x -> only(A * x), x) ≈ [1 1 1]
 
         # Custom functions
         f(x) = [x[1]^2, 2 * x[1] * x[2]^2, sin(x[3])]
         yt = f(xt)
-        @test sortedinputs(yt[1]) == [1]
-        @test sortedinputs(yt[2]) == [1, 2]
-        @test sortedinputs(yt[3]) == [3]
+        @test inputs(yt[1]) == [1]
+        @test inputs(yt[2]) == [1, 2]
+        @test inputs(yt[3]) == [3]
 
         @test connectivity(f, x) ≈ [1 0 0; 1 1 0; 0 0 1]