diff --git a/crates/cubecl-core/src/frontend/topology.rs b/crates/cubecl-core/src/frontend/topology.rs
index 10c6da024..a33c242a9 100644
--- a/crates/cubecl-core/src/frontend/topology.rs
+++ b/crates/cubecl-core/src/frontend/topology.rs
@@ -30,6 +30,14 @@ The total amount of working units in a plane.
 "
 );
 
+constant!(
+    UNIT_POS_PLANE,
+    crate::ir::Builtin::UnitPosPlane,
+    r"
+The relative position of the working unit inside the plane, without regards to cube dimensions.
+"
+);
+
 constant!(
     UNIT_POS,
     crate::ir::Builtin::UnitPos,
diff --git a/crates/cubecl-core/src/ir/variable.rs b/crates/cubecl-core/src/ir/variable.rs
index 7fb757e3d..e3b1f5b65 100644
--- a/crates/cubecl-core/src/ir/variable.rs
+++ b/crates/cubecl-core/src/ir/variable.rs
@@ -71,6 +71,7 @@ pub enum Builtin {
     CubeCountY,
     CubeCountZ,
     PlaneDim,
+    UnitPosPlane,
     AbsolutePos,
     AbsolutePosX,
     AbsolutePosY,
diff --git a/crates/cubecl-cpp/src/shared/base.rs b/crates/cubecl-cpp/src/shared/base.rs
index 7e53611ba..706913afc 100644
--- a/crates/cubecl-cpp/src/shared/base.rs
+++ b/crates/cubecl-cpp/src/shared/base.rs
@@ -854,6 +854,7 @@ impl<D: Dialect> CppCompiler<D> {
                     Variable::GridDimGlobal
                 }
                 gpu::Builtin::PlaneDim => Variable::WarpSize,
+                gpu::Builtin::UnitPosPlane => Variable::ThreadIdxWarp,
             },
             gpu::VariableKind::LocalArray { id, depth, length } => {
                 let item = self.compile_item(item);
diff --git a/crates/cubecl-cpp/src/shared/element.rs b/crates/cubecl-cpp/src/shared/element.rs
index 88f93968f..5d774cbe7 100644
--- a/crates/cubecl-cpp/src/shared/element.rs
+++ b/crates/cubecl-cpp/src/shared/element.rs
@@ -143,6 +143,7 @@ impl<D: Dialect> Component<D> for Variable<D> {
             Variable::GridDimZ => Item::scalar(Elem::U32),
             Variable::LocalArray(_, e, _, _) => *e,
             Variable::WarpSize => Item::scalar(Elem::U32),
+            Variable::ThreadIdxWarp => Item::scalar(Elem::U32),
             Variable::WmmaFragment {
                 id: _,
                 frag,
@@ -163,6 +164,7 @@ impl<D: Dialect> Component<D> for Variable<D> {
 #[derive(Debug, Clone, Copy, PartialEq)]
 pub enum Variable<D: Dialect> {
     WarpSize,
+    ThreadIdxWarp,
     GlobalInputArray(u16, Item<D>),
     GlobalOutputArray(u16, Item<D>),
     GlobalScalar(u16, Elem<D>, gpu::Elem),
@@ -285,6 +287,7 @@ impl<D: Dialect> Display for Variable<D> {
                 write!(f, "l_arr_{}_{}", id, depth)
             }
             Variable::WarpSize => f.write_str("warpSize"),
+            Variable::ThreadIdxWarp => f.write_str("threadIdxGlobal % warpSize"),
             Variable::WmmaFragment {
                 id: index,
                 frag: _,
@@ -416,6 +419,7 @@ impl<D: Dialect> Variable<D> {
             Variable::GridDimZ => true,
             Variable::LocalArray(_, _, _, _) => false,
             Variable::WarpSize => true,
+            Variable::ThreadIdxWarp => true,
             Variable::WmmaFragment { .. } => false,
             Variable::BlockIdxGlobal => true,
             Variable::BlockDimGlobal => true,
diff --git a/crates/cubecl-hip/Cargo.toml b/crates/cubecl-hip/Cargo.toml
index f2249a5ca..e3d89ec32 100644
--- a/crates/cubecl-hip/Cargo.toml
+++ b/crates/cubecl-hip/Cargo.toml
@@ -43,4 +43,5 @@ cubecl-core = { path = "../cubecl-core", version = "0.4.0", features = [
 cubecl-linalg = { path = "../cubecl-linalg", version = "0.4.0", features = [
   "export_tests",
 ] }
+cubecl-std = { path = "../cubecl-std", version = "0.4.0" }
 pretty_assertions = { workspace = true }
diff --git a/crates/cubecl-hip/src/lib.rs b/crates/cubecl-hip/src/lib.rs
index 4acc4434f..59c382615 100644
--- a/crates/cubecl-hip/src/lib.rs
+++ b/crates/cubecl-hip/src/lib.rs
@@ -27,4 +27,5 @@ mod tests {
 
     cubecl_core::testgen_all!();
     cubecl_linalg::testgen_cmma_matmul!();
+    cubecl_std::testgen_reduce!();
 }
diff --git a/crates/cubecl-macros/src/scope.rs b/crates/cubecl-macros/src/scope.rs
index 3f9a0696d..95cfa17a9 100644
--- a/crates/cubecl-macros/src/scope.rs
+++ b/crates/cubecl-macros/src/scope.rs
@@ -9,7 +9,7 @@ use syn::{parse_quote, Ident, Type};
 
 use crate::parse::kernel::KernelParam;
 
-pub const KEYWORDS: [&str; 21] = [
+pub const KEYWORDS: [&str; 22] = [
     "ABSOLUTE_POS",
     "ABSOLUTE_POS_X",
     "ABSOLUTE_POS_Y",
@@ -31,6 +31,7 @@ pub const KEYWORDS: [&str; 21] = [
     "CUBE_COUNT_Y",
     "CUBE_COUNT_Z",
     "PLANE_DIM",
+    "UNIT_POS_PLANE",
 ];
 
 pub type Scope = usize;
diff --git a/crates/cubecl-spirv/src/globals.rs b/crates/cubecl-spirv/src/globals.rs
index 6178c1e0d..633a018bf 100644
--- a/crates/cubecl-spirv/src/globals.rs
+++ b/crates/cubecl-spirv/src/globals.rs
@@ -113,6 +113,17 @@ impl<T: SpirvTarget> SpirvCompiler<T> {
                 });
                 Variable::SubgroupSize(id)
             }
+            Builtin::UnitPosPlane => {
+                let id = self.get_or_insert_global(Globals::SubgroupInvocationId, |b| {
+                    let id = b.load_builtin(
+                        BuiltIn::SubgroupLocalInvocationId,
+                        Item::Scalar(Elem::Int(32, false)),
+                    );
+                    b.debug_name(id, "UNIT_POS_PLANE");
+                    id
+                });
+                Variable::SubgroupSize(id)
+            }
             Builtin::CubePos => {
                 let id = self.get_or_insert_global(Globals::WorkgroupIndex, |b| {
                     let x = b.compile_variable(built_var(Builtin::CubePosX)).id(b);
diff --git a/crates/cubecl-spirv/src/variable.rs b/crates/cubecl-spirv/src/variable.rs
index 46a06dc75..f748f109f 100644
--- a/crates/cubecl-spirv/src/variable.rs
+++ b/crates/cubecl-spirv/src/variable.rs
@@ -340,6 +340,7 @@ pub enum Globals {
     NumWorkgroupsY,
     NumWorkgroupsZ,
     SubgroupSize,
+    SubgroupInvocationId,
 
     Metadata(u32),
 }
diff --git a/crates/cubecl-std/src/reduce/sum.rs b/crates/cubecl-std/src/reduce/sum.rs
index ed4677490..4b964d863 100644
--- a/crates/cubecl-std/src/reduce/sum.rs
+++ b/crates/cubecl-std/src/reduce/sum.rs
@@ -4,8 +4,7 @@ use cubecl_core::prelude::*;
 #[derive(Clone, Copy, Debug, PartialEq, Eq, Hash)]
 pub struct ReduceConfig {
     pub line_size: u32,
-    pub plane_size: u32,
-    pub num_planes: u32,
+    pub max_num_planes: u32,
 }
 
 /// Compute the sum of all elements of `input` and write it to the first element of `output`.
@@ -45,28 +44,27 @@ pub fn reduce_sum_vector<N: Numeric>(
     output: &mut SliceMut<Line<N>>,
     #[comptime] config: ReduceConfig,
 ) {
-    // How many lines accounted in each iteration.
-    let block_size = config.plane_size * config.num_planes;
+    let plane_id = UNIT_POS / PLANE_DIM;
+    let num_planes = div_ceil(CUBE_DIM, PLANE_DIM);
 
-    // This is an integer division rounded up.
-    let num_blocks = input.len() / block_size + (input.len() % block_size > 0) as u32;
+    // Compute the number of required iterations to reduce all lines when reducing CUBE_DIM lines per iteration.
+    let num_iterations = div_ceil(input.len(), CUBE_DIM);
 
-    let mut memory = SharedMemory::new_lined(config.num_planes, config.line_size);
+    let mut memory = SharedMemory::new_lined(config.max_num_planes, input[0].size());
+    memory[plane_id] = Line::empty(config.line_size).fill(N::from_int(0));
 
-    memory[UNIT_POS_Y] = Line::empty(config.line_size).fill(N::from_int(0));
-
-    // For each block, we reduce each group of plane_size lines to a single line. Then, we accumulate the results
+    // For each iteration, each plane reduces PLANE_DIM lines into a single line. Then, we accumulate the results
     // into the memory. Thus, after the loop, the reduction of the memory yields the expected output.
-    for i in 0..num_blocks {
-        let index = i * block_size + UNIT_POS_Y * config.plane_size + UNIT_POS_X;
+    for i in 0..num_iterations {
+        let index = i * CUBE_DIM + plane_id * PLANE_DIM + UNIT_POS_PLANE;
         let value = select(
             index < input.len(),
             input[index],
             Line::empty(config.line_size).fill(N::from_int(0)),
         );
         let sum = plane_sum(value);
-        if UNIT_POS_X == 0 {
-            memory[UNIT_POS_Y] += sum;
+        if UNIT_POS_PLANE == 0 {
+            memory[plane_id] += sum;
         }
     }
 
@@ -75,8 +73,8 @@ pub fn reduce_sum_vector<N: Numeric>(
 
     // Sum each elements in memory
     let sum = plane_sum(select(
-        UNIT_POS_X < config.num_planes,
-        memory[UNIT_POS_X],
+        UNIT_POS_PLANE < num_planes,
+        memory[UNIT_POS_PLANE],
         Line::empty(config.line_size).fill(N::from_int(0)),
     ));
     if UNIT_POS == 0 {
@@ -104,3 +102,9 @@ pub fn reduce_sum_lines<N: Numeric>(
         output[UNIT_POS] = sum;
     }
 }
+
+// Integer division rounded up.
+#[cube]
+fn div_ceil(a: u32, b: u32) -> u32 {
+    a / b + ((a % b) > 0) as u32
+}
diff --git a/crates/cubecl-std/src/reduce/test.rs b/crates/cubecl-std/src/reduce/test.rs
index 1790eb7f7..0186c683c 100644
--- a/crates/cubecl-std/src/reduce/test.rs
+++ b/crates/cubecl-std/src/reduce/test.rs
@@ -28,7 +28,7 @@ macro_rules! testgen_reduce {
 
         #[test]
         pub fn reduce_sum_vector_single_plane_line_size_four() {
-            let mut test = TestCase::new(
+            let test = TestCase::new(
                 // input
                 TestTensorParts::new_vector((0..32).collect()).with_line_size(4),
                 // output
@@ -76,7 +76,7 @@ macro_rules! testgen_reduce {
                 // expected
                 vec![8128],
             );
-            test.cube_dim = CubeDim::new(32, 4, 1);
+            test.cube_dim = CubeDim::new(128, 1, 1);
             impl_reduce_sum_test::<TestRuntime, u32>(&Default::default(), test);
         }
 
@@ -103,7 +103,7 @@ macro_rules! testgen_reduce {
                 // expected
                 vec![4950],
             );
-            test.cube_dim = CubeDim::new(32, 4, 1);
+            test.cube_dim = CubeDim::new(128, 1, 1);
             impl_reduce_sum_test::<TestRuntime, u32>(&Default::default(), test);
         }
 
@@ -117,7 +117,7 @@ macro_rules! testgen_reduce {
                 // expected
                 vec![4950],
             );
-            test.cube_dim = CubeDim::new(32, 4, 1);
+            test.cube_dim = CubeDim::new(128, 1, 1);
             test.reduce_lines = true;
             impl_reduce_sum_test::<TestRuntime, u32>(&Default::default(), test);
         }
@@ -133,7 +133,7 @@ macro_rules! testgen_reduce {
                 vec![523776.0],
             );
             test.tolerance = Some(1e-9);
-            test.cube_dim = CubeDim::new(32, 8, 1);
+            test.cube_dim = CubeDim::new(256, 1, 1);
             impl_reduce_sum_test::<TestRuntime, f32>(&Default::default(), test);
         }
 
@@ -148,7 +148,7 @@ macro_rules! testgen_reduce {
                 vec![8128.0],
             );
             test.tolerance = Some(1e-9);
-            test.cube_dim = CubeDim::new(32, 8, 1);
+            test.cube_dim = CubeDim::new(256, 1, 1);
             impl_reduce_sum_test::<TestRuntime, f32>(&Default::default(), test);
         }
     };
@@ -221,8 +221,8 @@ pub fn impl_reduce_sum_test<R: Runtime, N: Numeric + CubeElement + std::fmt::Dis
 
     let config = ReduceConfig {
         line_size: test.input.line_size as u32,
-        plane_size: test.cube_dim.x,
-        num_planes: test.cube_dim.y,
+        max_num_planes: test.cube_dim.num_elems()
+            / client.properties().hardware_properties().plane_size_min,
     };
 
     unsafe {
diff --git a/crates/cubecl-wgpu/src/compiler/wgsl/base.rs b/crates/cubecl-wgpu/src/compiler/wgsl/base.rs
index 990e4149a..0b7d1dfc1 100644
--- a/crates/cubecl-wgpu/src/compiler/wgsl/base.rs
+++ b/crates/cubecl-wgpu/src/compiler/wgsl/base.rs
@@ -3,7 +3,6 @@ use std::fmt::Display;
 
 #[derive(Debug, Clone, PartialEq)]
 pub enum Variable {
-    SubgroupSize,
     GlobalInputArray(u16, Item),
     GlobalOutputArray(u16, Item),
     GlobalScalar(u16, Elem, cube::Elem),
@@ -55,6 +54,8 @@ pub enum Variable {
     NumWorkgroupsX,
     NumWorkgroupsY,
     NumWorkgroupsZ,
+    SubgroupSize,
+    SubgroupInvocationId,
 }
 
 #[derive(Debug, Clone, PartialEq, Eq, Copy)]
@@ -117,6 +118,7 @@ impl Variable {
             Variable::WorkgroupSize => true,
             Variable::NumWorkgroups => true,
             Variable::SubgroupSize => true,
+            Variable::SubgroupInvocationId => true,
         }
     }
     pub fn index(&self, index: usize) -> IndexedVariable {
@@ -175,6 +177,7 @@ impl Variable {
             Self::NumWorkgroupsY => Item::Scalar(Elem::U32),
             Self::NumWorkgroupsZ => Item::Scalar(Elem::U32),
             Self::SubgroupSize => Item::Scalar(Elem::U32),
+            Self::SubgroupInvocationId => Item::Scalar(Elem::U32),
         }
     }
     pub fn elem(&self) -> Elem {
@@ -340,6 +343,7 @@ impl Display for Variable {
             Variable::WorkgroupSize => f.write_str("workgroup_size_no_axis"),
             Variable::NumWorkgroups => f.write_str("num_workgroups_no_axis"),
             Variable::SubgroupSize => f.write_str("subgroup_size"),
+            Variable::SubgroupInvocationId => f.write_str("subgroup_invocation_id"),
         }
     }
 }
diff --git a/crates/cubecl-wgpu/src/compiler/wgsl/compiler.rs b/crates/cubecl-wgpu/src/compiler/wgsl/compiler.rs
index 41f49a6fc..a7355ec75 100644
--- a/crates/cubecl-wgpu/src/compiler/wgsl/compiler.rs
+++ b/crates/cubecl-wgpu/src/compiler/wgsl/compiler.rs
@@ -34,6 +34,7 @@ pub struct WgslCompiler {
     global_invocation_id: bool,
     workgroup_id: bool,
     subgroup_size: bool,
+    subgroup_invocation_id: bool,
     id: bool,
     num_workgroups: bool,
     workgroup_id_no_axis: bool,
@@ -277,6 +278,7 @@ impl WgslCompiler {
                 || self.workgroup_id_no_axis,
             workgroup_id: self.workgroup_id || self.workgroup_id_no_axis,
             subgroup_size: self.subgroup_size,
+            subgroup_invocation_id: self.subgroup_invocation_id,
             body,
             extensions,
             num_workgroups_no_axis: self.num_workgroup_no_axis,
@@ -462,6 +464,10 @@ impl WgslCompiler {
                     self.subgroup_size = true;
                     wgsl::Variable::SubgroupSize
                 }
+                cube::Builtin::UnitPosPlane => {
+                    self.subgroup_invocation_id = true;
+                    wgsl::Variable::SubgroupInvocationId
+                }
             },
             cube::VariableKind::Matrix { .. } => {
                 panic!("Cooperative matrix-multiply and accumulate not supported.")
diff --git a/crates/cubecl-wgpu/src/compiler/wgsl/shader.rs b/crates/cubecl-wgpu/src/compiler/wgsl/shader.rs
index 9dc0c089b..1cd0333df 100644
--- a/crates/cubecl-wgpu/src/compiler/wgsl/shader.rs
+++ b/crates/cubecl-wgpu/src/compiler/wgsl/shader.rs
@@ -83,6 +83,7 @@ pub struct ComputeShader {
     pub num_workgroups: bool,
     pub workgroup_id: bool,
     pub subgroup_size: bool,
+    pub subgroup_invocation_id: bool,
     pub num_workgroups_no_axis: bool,
     pub workgroup_id_no_axis: bool,
     pub workgroup_size_no_axis: bool,
@@ -171,6 +172,9 @@ fn {}(
         if self.subgroup_size {
             f.write_str("    @builtin(subgroup_size) subgroup_size: u32,\n")?;
         }
+        if self.subgroup_invocation_id {
+            f.write_str("    @builtin(subgroup_invocation_id) subgroup_invocation_id: u32,\n")?;
+        }
 
         // Open body
         f.write_str(") {\n")?;