diff --git a/src/core/ad.jl b/src/core/ad.jl
index 292ff4a91..88c468c6a 100644
--- a/src/core/ad.jl
+++ b/src/core/ad.jl
@@ -134,6 +134,13 @@ Tracker.@grad function poislogpdf(v::Tracker.TrackedReal, x::Int)
           Δ->(Δ * (x/v - 1), nothing)
 end
 
+function binomlogpdf(n::Int, p::ForwardDiff.Dual{T}, x::Int) where {T}
+    FD = ForwardDiff.Dual{T}
+    val = ForwardDiff.value(p)
+    Δ = ForwardDiff.partials(p)
+    return FD(binomlogpdf(n, val, x),  Δ * (x / val - (n - x) / (1 - val)))
+end
+
 function poislogpdf(v::ForwardDiff.Dual{T}, x::Int) where {T}
     FD = ForwardDiff.Dual{T}
     val = ForwardDiff.value(v)
diff --git a/test/ad.jl/AD_compatibility_with_distributions.jl b/test/ad.jl/AD_compatibility_with_distributions.jl
index d65a5b985..9b3e3b7fe 100644
--- a/test/ad.jl/AD_compatibility_with_distributions.jl
+++ b/test/ad.jl/AD_compatibility_with_distributions.jl
@@ -37,6 +37,12 @@ let
         rtol=1e-8,
         atol=1e-8,
     )
+    @test isapprox(
+        Tracker.gradient(foo, 0.5)[1],
+        ForwardDiff.derivative(foo, 0.5);
+        rtol=1e-8,
+        atol=1e-8,
+    )
 
     bar = p->logpdf(Binomial(10, p), 3)
     @test isapprox(
@@ -45,22 +51,40 @@ let
         rtol=1e-8,
         atol=1e-8,
     )
+    @test isapprox(
+        Tracker.gradient(bar, 0.5)[1],
+        ForwardDiff.derivative(bar, 0.5),
+        rtol=1e-8,
+        atol=1e-8,
+    )
 end
 
 let
-    foo = p->poislogpdf(1, p)
+    foo = p->Turing.poislogpdf(p, 1)
     @test isapprox(
         Tracker.gradient(foo, 0.5)[1],
         central_fdm(5, 1)(foo, 0.5);
         rtol=1e-8,
         atol=1e-8,
     )
+    @test isapprox(
+        Tracker.gradient(foo, 0.5)[1],
+        ForwardDiff.derivative(foo, 0.5);
+        rtol=1e-8,
+        atol=1e-8,
+    )
 
-    bar = p->logpdf(Poisson(1), 3)
+    bar = p->logpdf(Poisson(p), 3)
     @test isapprox(
         Tracker.gradient(bar, 0.5)[1],
         central_fdm(5, 1)(bar, 0.5);
         rtol=1e-8,
         atol=1e-8,
     )
+    @test isapprox(
+        Tracker.gradient(bar, 0.5)[1],
+        ForwardDiff.derivative(bar, 0.5);
+        rtol=1e-8,
+        atol=1e-8,
+    )
 end
diff --git a/test/ad.jl/adr.jl b/test/ad.jl/adr.jl
index 6024428a2..7f7819ced 100644
--- a/test/ad.jl/adr.jl
+++ b/test/ad.jl/adr.jl
@@ -23,8 +23,8 @@ mvn = collect(Iterators.filter(vn -> vn.sym == :m, keys(vi)))[1]
 _s = getval(vi, svn)[1]
 _m = getval(vi, mvn)[1]
 
-x = map(_->Float64(_), vi[nothing])
-∇E = gradient_reverse(x, vi, ad_test_f)
+x = map(x->Float64(x), vi[nothing])
+∇E = gradient_reverse(x, vi, ad_test_f)[2]
 # println(vi.vns)
 # println(∇E)
 grad_Turing = sort(∇E)
@@ -37,7 +37,7 @@ function logp(x::Vector)
   # s = invlink(dist_s, s)
   m = x[1]
   lik_dist = Normal(m, sqrt(s))
-  lp = logpdf(dist_s, s, false) + logpdf(Normal(0,sqrt(s)), m, false)
+  lp = logpdf(dist_s, s) + logpdf(Normal(0,sqrt(s)), m)
   lp += logpdf(lik_dist, 1.5) + logpdf(lik_dist, 2.0)
   lp
 end
diff --git a/test/ad.jl/skip_tests b/test/ad.jl/skip_tests
index fac158d71..3d088bb70 100644
--- a/test/ad.jl/skip_tests
+++ b/test/ad.jl/skip_tests
@@ -1,3 +1 @@
 # tests to skip
-adr.jl
-AD_compatibility_with_distributions.jl