diff --git a/src/controller/execute.jl b/src/controller/execute.jl
index 68cbde8e9..affe7a4e8 100644
--- a/src/controller/execute.jl
+++ b/src/controller/execute.jl
@@ -110,15 +110,15 @@ are also available:
 
 - `:JE`: economic cost value at the optimum, ``J_E``
 - `:gc`: custom nonlinear constraints values at the optimum, ``\mathbf{g_c}``
-- `:∇J` or *`:nablaJ`* : gradient of the objective function, ``\mathbf{\nabla} J``
-- `:∇²J` or *`:nabla2J`* : Hessian of the objective function, ``\mathbf{\nabla^2}J``
-- `:∇g` or *`:nablag`* : Jacobian of the inequality constraint, ``\mathbf{\nabla g}``
-- `:∇²ℓg` or *`:nabla2lg`* : Hessian of the inequality Lagrangian, ``\mathbf{\nabla^2}\ell_{\mathbf{g}}``
-- `:∇geq` or *`:nablageq`* : Jacobian of the equality constraint, ``\mathbf{\nabla g_{eq}}``
-- `:∇²ℓgeq` or *`:nabla2lgeq`* : Hessian of the equality Lagrangian, ``\mathbf{\nabla^2}\ell_{\mathbf{g_{eq}}}``
-
-Note that Hessian of Lagrangians are not fully supported yet. Their nonzero coefficients are
-random values for now.
+- `:∇J` or *`:nablaJ`* : optimal gradient of the objective function, ``\mathbf{\nabla} J``
+- `:∇²J` or *`:nabla2J`* : optimal Hessian of the objective function, ``\mathbf{\nabla^2}J``
+- `:∇g` or *`:nablag`* : optimal Jacobian of the inequality constraint, ``\mathbf{\nabla g}``
+- `:∇²ℓg` or *`:nabla2lg`* : optimal Hessian of the inequality Lagrangian, ``\mathbf{\nabla^2}\ell_{\mathbf{g}}``
+- `:∇geq` or *`:nablageq`* : optimal Jacobian of the equality constraint, ``\mathbf{\nabla g_{eq}}``
+- `:∇²ℓgeq` or *`:nabla2lgeq`* : optimal Hessian of the equality Lagrangian, ``\mathbf{\nabla^2}\ell_{\mathbf{g_{eq}}}``
+
+Note that retrieving optimal Hessians of Lagrangian are not fully supported yet. Their
+nonzero coefficients are random values for now.
 
 # Examples
 ```jldoctest
diff --git a/src/estimator/mhe/execute.jl b/src/estimator/mhe/execute.jl
index 76c9ac17b..8247222b0 100644
--- a/src/estimator/mhe/execute.jl
+++ b/src/estimator/mhe/execute.jl
@@ -98,13 +98,13 @@ For [`NonLinModel`](@ref), it also includes the following derivative fields:
 
 - `:JE`: economic cost value at the optimum, ``J_E``
 - `:gc`: custom nonlinear constraints values at the optimum, ``\mathbf{g_c}``
-- `:∇J` or *`:nablaJ`* : gradient of the objective function, ``\mathbf{\nabla} J``
-- `:∇²J` or *`:nabla2J`* : Hessian of the objective function, ``\mathbf{\nabla^2}J``
-- `:∇g` or *`:nablag`* : Jacobian of the inequality constraint, ``\mathbf{\nabla g}``
-- `:∇²ℓg` or *`:nabla2lg`* : Hessian of the inequality Lagrangian, ``\mathbf{\nabla^2}\ell_{\mathbf{g}}``
+- `:∇J` or *`:nablaJ`* : optimal gradient of the objective function, ``\mathbf{\nabla} J``
+- `:∇²J` or *`:nabla2J`* : optimal Hessian of the objective function, ``\mathbf{\nabla^2}J``
+- `:∇g` or *`:nablag`* : optimal Jacobian of the inequality constraint, ``\mathbf{\nabla g}``
+- `:∇²ℓg` or *`:nabla2lg`* : optimal Hessian of the inequality Lagrangian, ``\mathbf{\nabla^2}\ell_{\mathbf{g}}``
 
-Note that Hessian of Lagrangians are not fully supported yet. Their nonzero coefficients are
-random values for now.
+Note that retrieving optimal Hessians of Lagrangian are not fully supported yet. Their
+nonzero coefficients are random values for now.
 
 # Examples
 ```jldoctest
diff --git a/src/general.jl b/src/general.jl
index ab9c49199..87f738e34 100644
--- a/src/general.jl
+++ b/src/general.jl
@@ -18,7 +18,7 @@ const ALL_COLORING_ORDERS = (
 
 const HIDDEN_GETINFO_KEYS_MHE = (
     :What, :xhatarr, :epsilon, :Xhat, :xhat, :Vhat, :Pbar, :xbar, :Yhat, :Yhatm, :ϵ,
-    :nablaJ, :nabla2J, :nablag, :nabla2lg
+    :nablaJ, :nabla2J, :nablag, :nabla2lg, :nablageq, :nabla2lgeq
 )
 
 const HIDDEN_GETINFO_KEYS_MPC = (