diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index 91f3297..990ed1b 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -14,7 +14,6 @@ jobs:
       fail-fast: false
       matrix:
         version:
-          - '1.1'
           - '1.5'
           - '1.6'
         os:
@@ -34,4 +33,3 @@ jobs:
       - uses: julia-actions/julia-uploadcodecov@latest
         env:
           CODECOV_TOKEN: ${{ secrets.CODECOV_TOKEN }}
-
diff --git a/Project.toml b/Project.toml
index a288dea..46bcc01 100644
--- a/Project.toml
+++ b/Project.toml
@@ -6,16 +6,9 @@ version = "0.5.0"
 LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 Printf = "de0858da-6303-5e67-8744-51eddeeeb8d7"
 ProximalOperators = "a725b495-10eb-56fe-b38b-717eba820537"
+Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 
 [compat]
 ProximalOperators = "0.14"
-julia = "1.1.0"
-
-[extras]
-AbstractOperators = "d9c5613a-d543-52d8-9afd-8f241a8c3f1c"
-Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
-RecursiveArrayTools = "731186ca-8d62-57ce-b412-fbd966d074cd"
-Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
-
-[targets]
-test = ["Random", "Test", "RecursiveArrayTools", "AbstractOperators"]
+Zygote = "0.6"
+julia = "1.2"
diff --git a/src/ProximalAlgorithms.jl b/src/ProximalAlgorithms.jl
index bc20634..ea42d89 100644
--- a/src/ProximalAlgorithms.jl
+++ b/src/ProximalAlgorithms.jl
@@ -1,12 +1,13 @@
 module ProximalAlgorithms
 
+using ProximalOperators
+
 const RealOrComplex{R} = Union{R,Complex{R}}
 const Maybe{T} = Union{T,Nothing}
 
-include("compat.jl")
-
 # utilities
 
+include("utilities/ad.jl")
 include("utilities/conjugate.jl")
 include("utilities/fb_tools.jl")
 include("utilities/iteration_tools.jl")
diff --git a/src/compat.jl b/src/compat.jl
deleted file mode 100644
index 5bec281..0000000
--- a/src/compat.jl
+++ /dev/null
@@ -1,5 +0,0 @@
-if VERSION < v"1.1"
-    using LinearAlgebra
-    LinearAlgebra.mul!(C::AbstractVecOrMat, J::UniformScaling, B::AbstractVecOrMat) =
-        mul!(C, J.λ, B)
-end
diff --git a/src/utilities/ad.jl b/src/utilities/ad.jl
new file mode 100644
index 0000000..a25d1a8
--- /dev/null
+++ b/src/utilities/ad.jl
@@ -0,0 +1,14 @@
+using Zygote: pullback
+using ProximalOperators
+
+function ProximalOperators.gradient(f, x)
+    fx, pb = pullback(f, x)
+    grad = pb(one(fx))[1]
+    return grad, fx
+end
+
+function ProximalOperators.gradient!(grad, f, x)
+    y, fx = gradient(f, x)
+    grad .= y
+    return fx
+end
diff --git a/src/utilities/conjugate.jl b/src/utilities/conjugate.jl
index 70a9081..d831d8a 100644
--- a/src/utilities/conjugate.jl
+++ b/src/utilities/conjugate.jl
@@ -1,8 +1,8 @@
 using ProximalOperators
 using ProximalOperators: Zero
 
-ProximalOperators.Conjugate(f::Zero) = IndZero()
-ProximalOperators.Conjugate(f::IndZero) = Zero()
+ProximalOperators.Conjugate(_::Zero) = IndZero()
+ProximalOperators.Conjugate(_::IndZero) = Zero()
 ProximalOperators.Conjugate(f::SqrNormL2) = SqrNormL2(1.0 / f.lambda)
 
 # TODO: Add other useful functions and calculus rules such as translation
diff --git a/test/Project.toml b/test/Project.toml
new file mode 100644
index 0000000..f4cf9bb
--- /dev/null
+++ b/test/Project.toml
@@ -0,0 +1,8 @@
+[deps]
+AbstractOperators = "d9c5613a-d543-52d8-9afd-8f241a8c3f1c"
+LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
+Printf = "de0858da-6303-5e67-8744-51eddeeeb8d7"
+ProximalOperators = "a725b495-10eb-56fe-b38b-717eba820537"
+Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
+RecursiveArrayTools = "731186ca-8d62-57ce-b412-fbd966d074cd"
+Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
diff --git a/test/accel/anderson.jl b/test/accel/test_anderson.jl
similarity index 100%
rename from test/accel/anderson.jl
rename to test/accel/test_anderson.jl
diff --git a/test/accel/broyden.jl b/test/accel/test_broyden.jl
similarity index 100%
rename from test/accel/broyden.jl
rename to test/accel/test_broyden.jl
diff --git a/test/accel/lbfgs.jl b/test/accel/test_lbfgs.jl
similarity index 100%
rename from test/accel/lbfgs.jl
rename to test/accel/test_lbfgs.jl
diff --git a/test/accel/nesterov.jl b/test/accel/test_nesterov.jl
similarity index 100%
rename from test/accel/nesterov.jl
rename to test/accel/test_nesterov.jl
diff --git a/test/accel/noaccel.jl b/test/accel/test_noaccel.jl
similarity index 100%
rename from test/accel/noaccel.jl
rename to test/accel/test_noaccel.jl
diff --git a/test/runtests.jl b/test/runtests.jl
index 0db8447..837b9d4 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -3,15 +3,16 @@ using Test
 include("definitions/arraypartition.jl")
 include("definitions/compose.jl")
 
-include("utilities/iteration_tools.jl")
-include("utilities/conjugate.jl")
-include("utilities/fb_tools.jl")
+include("utilities/test_ad.jl")
+include("utilities/test_iteration_tools.jl")
+include("utilities/test_conjugate.jl")
+include("utilities/test_fb_tools.jl")
 
-include("accel/lbfgs.jl")
-include("accel/anderson.jl")
-include("accel/nesterov.jl")
-include("accel/broyden.jl")
-include("accel/noaccel.jl")
+include("accel/test_lbfgs.jl")
+include("accel/test_anderson.jl")
+include("accel/test_nesterov.jl")
+include("accel/test_broyden.jl")
+include("accel/test_noaccel.jl")
 
 include("problems/test_equivalence.jl")
 include("problems/test_elasticnet.jl")
diff --git a/test/utilities/test_ad.jl b/test/utilities/test_ad.jl
new file mode 100644
index 0000000..4aa0aef
--- /dev/null
+++ b/test/utilities/test_ad.jl
@@ -0,0 +1,39 @@
+using Test
+using LinearAlgebra
+using ProximalOperators: NormL1
+using ProximalAlgorithms
+
+@testset "Autodiff ($T)" for T in [Float32, Float64, ComplexF32, ComplexF64]
+    R = real(T)
+    A = T[
+        1.0 -2.0 3.0 -4.0 5.0
+        2.0 -1.0 0.0 -1.0 3.0
+        -1.0 0.0 4.0 -3.0 2.0
+        -1.0 -1.0 -1.0 1.0 3.0
+    ]
+    b = T[1.0, 2.0, 3.0, 4.0]
+    f(x) = R(1/2) * norm(A * x - b, 2)^2
+    Lf = opnorm(A)^2
+    m, n = size(A)
+
+    @testset "Gradient" begin
+        x = randn(T, n)
+        gradfx, fx = gradient(f, x)
+        @test eltype(gradfx) == T
+        @test typeof(fx) == R
+        @test gradfx ≈ A' * (A * x - b)
+    end
+
+    @testset "Algorithms" begin
+        lam = R(0.1) * norm(A' * b, Inf)
+        @test typeof(lam) == R
+        g = NormL1(lam)
+        x_star = T[-3.877278911564627e-01, 0, 0, 2.174149659863943e-02, 6.168435374149660e-01]
+        TOL = R(1e-4)
+        solver = ProximalAlgorithms.FastForwardBackward(tol = TOL)
+        x, it = solver(zeros(T, n), f = f, g = g, Lf = Lf)
+        @test eltype(x) == T
+        @test norm(x - x_star, Inf) <= TOL
+        @test it < 100
+    end
+end
diff --git a/test/utilities/conjugate.jl b/test/utilities/test_conjugate.jl
similarity index 98%
rename from test/utilities/conjugate.jl
rename to test/utilities/test_conjugate.jl
index e025209..1bce562 100644
--- a/test/utilities/conjugate.jl
+++ b/test/utilities/test_conjugate.jl
@@ -1,3 +1,5 @@
+using Test
+
 @testset "Conjugate" begin
 
     using ProximalOperators
diff --git a/test/utilities/fb_tools.jl b/test/utilities/test_fb_tools.jl
similarity index 100%
rename from test/utilities/fb_tools.jl
rename to test/utilities/test_fb_tools.jl
diff --git a/test/utilities/iteration_tools.jl b/test/utilities/test_iteration_tools.jl
similarity index 100%
rename from test/utilities/iteration_tools.jl
rename to test/utilities/test_iteration_tools.jl