diff --git a/src/features.rs b/src/features.rs
index 83eec0f7..37b24392 100644
--- a/src/features.rs
+++ b/src/features.rs
@@ -686,7 +686,7 @@ pub trait CachedBuffers {
     }
 
     #[inline]
-    fn is_supplied_from_below_module(&self) -> bool {
+    fn are_cached_buffers_supplied_from_below_module(&self) -> bool {
         false
     }
 }
diff --git a/src/modules/autograd.rs b/src/modules/autograd.rs
index 96b550db..5cdf26ce 100644
--- a/src/modules/autograd.rs
+++ b/src/modules/autograd.rs
@@ -60,7 +60,7 @@ impl<'dev, Mods> Autograd<'dev, Mods> {
         S: Shape,
         Mods: CachedBuffers,
     {
-        if self.modules.is_supplied_from_below_module() {
+        if self.modules.are_cached_buffers_supplied_from_below_module() {
             return;
         }
         let no_grads_pool = unsafe { &mut (*self.grads.get()).no_grads_pool };
@@ -226,30 +226,30 @@ impl<'dev, Mods> GradActions for Autograd<'dev, Mods> {
     }
 
     #[inline]
-    unsafe fn grad<
-        'a,
-        T: 'static,
-        D: Device + Alloc<T> + crate::ZeroGrad<T> + 'static,
-        S: Shape,
-    >(
+    unsafe fn grad<'a, T, D, S>(
         &self,
         device: &'a D,
         buf: &Buffer<'a, T, D, S>,
-    ) -> &Buffer<'a, T, D, S> {
+    ) -> &Buffer<'a, T, D, S>
+    where
+        T: 'static,
+        D: Device + Alloc<T> + crate::ZeroGrad<T> + 'static,
+        S: Shape,
+    {
         unsafe { (*self.grads.get()).get_ref(device, buf.id()) }
     }
 
     #[inline]
-    unsafe fn grad_mut<
-        'a,
-        T: 'static,
-        D: Device + Alloc<T> + crate::ZeroGrad<T> + 'static,
-        S: Shape,
-    >(
+    unsafe fn grad_mut<'a, T, D, S>(
         &self,
         device: &'a D,
         buf: &Buffer<'a, T, D, S>,
-    ) -> &mut Buffer<'a, T, D, S> {
+    ) -> &mut Buffer<'a, T, D, S>
+    where
+        T: 'static,
+        D: Device + Alloc<T> + crate::ZeroGrad<T> + 'static,
+        S: Shape,
+    {
         unsafe { (*self.grads.get()).get_mut(device, buf.id()) }
     }
 }
diff --git a/src/modules/autograd/wrapper.rs b/src/modules/autograd/wrapper.rs
index 2fb058a4..60d943bc 100644
--- a/src/modules/autograd/wrapper.rs
+++ b/src/modules/autograd/wrapper.rs
@@ -6,14 +6,14 @@ use crate::{
 };
 
 #[derive(Debug, PartialEq, Eq, PartialOrd, Ord)]
-pub struct ReqGradWrapper<Data, T> {
+pub struct ReqGradWrapper<'a, Data, T> {
     pub requires_grad: bool,
     pub data: Data,
-    pub _pd: PhantomData<T>,
+    pub _pd: PhantomData<&'a T>,
 }
 
 impl<'dev, Mods: WrappedData> WrappedData for Autograd<'dev, Mods> {
-    type Wrap<'a, T: Unit, Base: IsBasePtr> = ReqGradWrapper<Mods::Wrap<'a, T, Base>, T>;
+    type Wrap<'a, T: Unit, Base: IsBasePtr> = ReqGradWrapper<'a, Mods::Wrap<'a, T, Base>, T>;
 
     #[inline]
     fn wrap_in_base<'a, T: Unit, Base: IsBasePtr>(&self, base: Base) -> Self::Wrap<'a, T, Base> {
@@ -40,7 +40,7 @@ impl<'dev, Mods: WrappedData> WrappedData for Autograd<'dev, Mods> {
     }
 }
 
-impl<Data: HasId, T> HasId for ReqGradWrapper<Data, T> {
+impl<'a, Data: HasId, T> HasId for ReqGradWrapper<'a, Data, T> {
     #[inline]
     fn id(&self) -> crate::Id {
         self.data.id()
@@ -57,7 +57,7 @@ impl<Data: HasId, T> HasId for ReqGradWrapper<Data, T> {
     }
 }
 
-impl<Data: PtrType, T: Unit> PtrType for ReqGradWrapper<Data, T> {
+impl<'a, Data: PtrType, T: Unit> PtrType for ReqGradWrapper<'a, Data, T> {
     #[inline]
     fn size(&self) -> usize {
         self.data.size()
@@ -74,7 +74,7 @@ impl<Data: PtrType, T: Unit> PtrType for ReqGradWrapper<Data, T> {
     }
 }
 
-impl<Data, T> ShallowCopy for ReqGradWrapper<Data, T>
+impl<'a, Data, T> ShallowCopy for ReqGradWrapper<'a, Data, T>
 where
     Data: ShallowCopy,
 {
@@ -87,8 +87,8 @@ where
     }
 }
 
-impl<T: Unit, S: Shape, Data: ToBase<T, D, S>, T1, D: Device> ToBase<T, D, S>
-    for ReqGradWrapper<Data, T1>
+impl<'a, T: Unit, S: Shape, Data: ToBase<T, D, S>, T1, D: Device> ToBase<T, D, S>
+    for ReqGradWrapper<'a, Data, T1>
 {
     #[inline]
     fn to_base(self) -> <D as Device>::Base<T, S> {
@@ -96,7 +96,7 @@ impl<T: Unit, S: Shape, Data: ToBase<T, D, S>, T1, D: Device> ToBase<T, D, S>
     }
 }
 
-impl<T, Data> ToDim for ReqGradWrapper<Data, T> {
+impl<'a, T, Data> ToDim for ReqGradWrapper<'a, Data, T> {
     type Out = Self;
 
     #[inline]
diff --git a/src/modules/cached.rs b/src/modules/cached.rs
index f1f9112b..7e335be7 100644
--- a/src/modules/cached.rs
+++ b/src/modules/cached.rs
@@ -6,7 +6,7 @@ use core::{
 
 use crate::{
     AddGradFn, AddLayer, AddOperation, Alloc, Buffer, Cache, CachedBuffers, CowMut, Cursor, Device,
-    ExecNow, FastCache2, Guard, HasId, HasModules, IsBasePtr, IsShapeIndep, LockInfo, Module,
+    ExecNow, FastCache2, Guard, HasModules, IsBasePtr, IsShapeIndep, LockInfo, Module,
     OnDropBuffer, OnNewBuffer, Parents, PtrType, RemoveLayer, ReplaceBuf, Retrieve, RunModule,
     SetOpHint, Setup, ShallowCopy, Shape, State, UniqueId, Unit, WrappedData,
 };
@@ -535,7 +535,7 @@ mod tests {
         {
             let device = CPU::<Cached<Base>>::new();
             // let buf: Buffer<f32, _> = device.retrieve(10, ());
-            unsafe { Retrieve::<_, f32, ()>::retrieve_entry(&device.modules, &device, 10, &()) };
+            let _ = Retrieve::<_, f32, ()>::retrieve_entry(&device.modules, &device, 10, &());
         };
     }
 
diff --git a/src/modules/lazy.rs b/src/modules/lazy.rs
index a77f08c4..b7a01066 100644
--- a/src/modules/lazy.rs
+++ b/src/modules/lazy.rs
@@ -499,7 +499,7 @@ impl<T, Mods> CachedBuffers for Lazy<'_, Mods, T> {
     }
 
     #[inline]
-    fn is_supplied_from_below_module(&self) -> bool {
+    fn are_cached_buffers_supplied_from_below_module(&self) -> bool {
         true
     }
 }