diff --git a/examples/ad/oper.jl b/examples/ad/oper.jl
index 36fc431..60fef5e 100644
--- a/examples/ad/oper.jl
+++ b/examples/ad/oper.jl
@@ -8,16 +8,15 @@ let
     nothing
 end
 
-using SciMLSensitivity, Zygote
+using LinearAlgebra, SciMLSensitivity, Zygote
 
-n = 3
-N = 9
+N = 16
 
 u0 = rand(N)
 ps = rand(N)
 
 space = FourierSpace(N)
-space = make_transform(space; isinplace=false)
+space = make_transform(space, u0; isinplace=false)
 
 F  = transformOp(space)
 Dx = gradientOp(space)[1]
@@ -26,12 +25,12 @@ S  = rand() * MatrixOperator(rand(N,N))
 Di = DiagonalOperator(rand(N))
 M  = MatrixOperator(rand(N,N))
 Af = AffineOperator(rand(N,N), rand(N,N), rand(N))
-Ad = rand(N,N) + rand(N,N)
-Co = rand(N,N) * rand(N,N)
+Ad = MatrixOperator(rand(N,N)) + MatrixOperator(rand(N,N))
+Co = MatrixOperator(rand(N,N)) * MatrixOperator(rand(N,N))
 T  = TensorProductOperator(rand(n,n), rand(n,n))
 Id = IdentityOperator{N}()
 Z  = NullOperator{N}()
-Ad = SciMLOperators.AdjointOperator(rand(N,N) |> MatrixOperator)
+Ao = SciMLOperators.AdjointOperator(rand(N,N) |> MatrixOperator)
 Tr = SciMLOperators.TransposedOperator(rand(N,N) |> MatrixOperator)
 
 α  = ScalarOperator(rand())
@@ -46,6 +45,8 @@ loss = function(p)
     #v = Zygote.hook(Δ -> (println("Δv: ", Δ); Δ), v)
     v = Zygote.hook(Δ -> (println("Δv: ", typeof(Δ)); Δ), v)
 
+    #w = Dx * v ## Δ vanishes - ComposedOperator # INCORRECT
+    w = F \ F * v ## Δ vanishes - ComposedOperator # INCORRECT
     #w = Co * v ## Δ vanishes - ComposedOperator # INCORRECT
     #w = β  * v ## Δ - AddedScalarOperator # ERROR
 
@@ -57,7 +58,7 @@ loss = function(p)
     #w = M  * v  ## Δ ok - MatrixOperator
     #w = Id * v  ## Δ ok - IdentityOperator
     #w = Z  * v  ## Δ ok - NullOperator
-    #w = Ad' * v  ## Δ ok - AdjointOperator
+    #w = Ao' * v  ## Δ ok - AdjointOperator
     #w = transpose(Tr) * v  ## Δ ok - TransposedOperator
     #w = F\(F*v) ## Δ ok - FunctionOperator
 
diff --git a/examples/burgers/model1.jl b/examples/burgers/model1.jl
index 90f3212..6158fcb 100644
--- a/examples/burgers/model1.jl
+++ b/examples/burgers/model1.jl
@@ -115,8 +115,8 @@ function setup_model1(N, ν, filename;
     Dx = cache_operator(Dx, u0.η) ## ERROR This is killing the gradient
     F = cache_operator(transformOp(space), u0.η)
 
-    Dx = IdentityOperator(space)
-    Dx =  F \ F
+    #Dx = IdentityOperator(space)
+    #Dx =  F \ F
 
     """ time discr """
     function dudt(u, p, t)