diff --git a/src/PIM/Conversion/SpatialToPim/SpatialToPimPass.cpp b/src/PIM/Conversion/SpatialToPim/SpatialToPimPass.cpp
index 5a5a1d1..7e58697 100644
--- a/src/PIM/Conversion/SpatialToPim/SpatialToPimPass.cpp
+++ b/src/PIM/Conversion/SpatialToPim/SpatialToPimPass.cpp
@@ -1,3 +1,5 @@
+#include "mlir/Conversion/AffineToStandard/AffineToStandard.h"
+#include "mlir/Dialect/Affine/IR/AffineOps.h"
 #include "mlir/Dialect/Arith/IR/Arith.h"
 #include "mlir/Dialect/Bufferization/IR/Bufferization.h"
 #include "mlir/Dialect/Func/IR/FuncOps.h"
@@ -143,7 +145,8 @@ void onnx_mlir::raptor::SpatialToPimPass::runOnOperation() {
   OperationFolder constantFolder(&getContext());
 
   ConversionTarget target(*ctx);
-  target.addLegalDialect<PimDialect,
+  target.addLegalDialect<affine::AffineDialect,
+                         PimDialect,
                          tensor::TensorDialect,
                          arith::ArithDialect,
                          bufferization::BufferizationDialect,
@@ -217,12 +220,31 @@ void onnx_mlir::raptor::SpatialToPimPass::runOnOperation() {
 
   RewritePatternSet coreBodyPatterns(ctx);
   populateWithGenerated(coreBodyPatterns);
+  populateAffineToStdConversionPatterns(coreBodyPatterns);
   FrozenRewritePatternSet frozenCoreBodyPatterns(std::move(coreBodyPatterns));
 
+  ConversionTarget coreBodyTarget(*ctx);
+  coreBodyTarget.addLegalDialect<PimDialect,
+                                 tensor::TensorDialect,
+                                 arith::ArithDialect,
+                                 bufferization::BufferizationDialect,
+                                 func::FuncDialect,
+                                 memref::MemRefDialect,
+                                 scf::SCFDialect,
+                                 BuiltinDialect>();
+  coreBodyTarget.addLegalOp<spatial::SpatConcatOp,
+                            spatial::SpatChannelReceiveOp,
+                            spatial::SpatChannelReceiveTensorOp,
+                            spatial::SpatChannelReceiveTensorBatchOp,
+                            spatial::SpatChannelSendOp,
+                            spatial::SpatChannelSendTensorOp,
+                            spatial::SpatChannelSendTensorBatchOp,
+                            spatial::SpatExtractRowsOp>();
+
   SmallVector<pim::PimCoreOp> coreOps;
   funcOp.walk([&](pim::PimCoreOp coreOp) { coreOps.push_back(coreOp); });
   for (auto coreOp : coreOps) {
-    if (failed(applyFullConversion(coreOp.getOperation(), target, frozenCoreBodyPatterns))) {
+    if (failed(applyFullConversion(coreOp.getOperation(), coreBodyTarget, frozenCoreBodyPatterns))) {
       coreOp.emitOpError("failed to convert nested Spatial ops inside pim.core");
       signalPassFailure();
       return;
@@ -232,7 +254,7 @@ void onnx_mlir::raptor::SpatialToPimPass::runOnOperation() {
   SmallVector<pim::PimCoreBatchOp> coreBatchOps;
   funcOp.walk([&](pim::PimCoreBatchOp coreBatchOp) { coreBatchOps.push_back(coreBatchOp); });
   for (auto coreBatchOp : coreBatchOps) {
-    if (failed(applyFullConversion(coreBatchOp.getOperation(), target, frozenCoreBodyPatterns))) {
+    if (failed(applyFullConversion(coreBatchOp.getOperation(), coreBodyTarget, frozenCoreBodyPatterns))) {
       coreBatchOp.emitOpError("failed to convert nested Spatial ops inside pim.core_batch");
       signalPassFailure();
       return;
diff --git a/src/PIM/Dialect/Spatial/SpatialOpsVerify.cpp b/src/PIM/Dialect/Spatial/SpatialOpsVerify.cpp
index 86594a1..10c7591 100644
--- a/src/PIM/Dialect/Spatial/SpatialOpsVerify.cpp
+++ b/src/PIM/Dialect/Spatial/SpatialOpsVerify.cpp
@@ -1,5 +1,7 @@
+#include "mlir/Dialect/Affine/IR/AffineOps.h"
 #include "mlir/Dialect/Arith/IR/Arith.h"
 #include "mlir/Dialect/Tensor/IR/Tensor.h"
+#include "mlir/IR/AffineExpr.h"
 #include "mlir/IR/Block.h"
 #include "mlir/IR/BuiltinTypeInterfaces.h"
 #include "mlir/IR/Diagnostics.h"
@@ -119,10 +121,45 @@ static bool isConstantIndexLike(Value value) {
   return matchPattern(value, m_ConstantInt(&constantValue));
 }
 
+static bool isSupportedLaneAffineExpr(AffineExpr expr) {
+  switch (expr.getKind()) {
+  case AffineExprKind::Constant:
+  case AffineExprKind::DimId:    return true;
+  case AffineExprKind::SymbolId: return false;
+  case AffineExprKind::Add:      {
+    auto binaryExpr = cast<AffineBinaryOpExpr>(expr);
+    return isSupportedLaneAffineExpr(binaryExpr.getLHS()) && isSupportedLaneAffineExpr(binaryExpr.getRHS());
+  }
+  case AffineExprKind::Mul: {
+    auto binaryExpr = cast<AffineBinaryOpExpr>(expr);
+    return (isa<AffineConstantExpr>(binaryExpr.getLHS()) && isSupportedLaneAffineExpr(binaryExpr.getRHS()))
+        || (isa<AffineConstantExpr>(binaryExpr.getRHS()) && isSupportedLaneAffineExpr(binaryExpr.getLHS()));
+  }
+  case AffineExprKind::FloorDiv:
+  case AffineExprKind::CeilDiv:
+  case AffineExprKind::Mod:      {
+    auto binaryExpr = cast<AffineBinaryOpExpr>(expr);
+    return isa<AffineConstantExpr>(binaryExpr.getRHS()) && isSupportedLaneAffineExpr(binaryExpr.getLHS());
+  }
+  }
+  llvm_unreachable("unexpected affine expression kind");
+}
+
 static bool isSupportedLaneOffsetExpr(Value value, BlockArgument laneArg) {
   if (value == laneArg || isConstantIndexLike(value))
     return true;
 
+  auto affineApply = value.getDefiningOp<affine::AffineApplyOp>();
+  if (affineApply) {
+    if (affineApply.getAffineMap().getNumResults() != 1 || affineApply.getAffineMap().getNumSymbols() != 0)
+      return false;
+    if (!llvm::all_of(affineApply.getMapOperands(),
+                      [&](Value operand) { return isSupportedLaneOffsetExpr(operand, laneArg); })) {
+      return false;
+    }
+    return isSupportedLaneAffineExpr(affineApply.getAffineMap().getResult(0));
+  }
+
   auto extractOp = value.getDefiningOp<tensor::ExtractOp>();
   if (extractOp) {
     auto constantTensor = extractOp.getTensor().getDefiningOp<arith::ConstantOp>();
diff --git a/src/PIM/Dialect/Spatial/Transforms/MergeComputeNodes/MaterializeMergeSchedule.cpp b/src/PIM/Dialect/Spatial/Transforms/MergeComputeNodes/MaterializeMergeSchedule.cpp
index e320916..752eaf0 100644
--- a/src/PIM/Dialect/Spatial/Transforms/MergeComputeNodes/MaterializeMergeSchedule.cpp
+++ b/src/PIM/Dialect/Spatial/Transforms/MergeComputeNodes/MaterializeMergeSchedule.cpp
@@ -1,3 +1,4 @@
+#include "mlir/Dialect/Affine/IR/AffineOps.h"
 #include "mlir/Dialect/Arith/IR/Arith.h"
 #include "mlir/Dialect/Func/IR/FuncOps.h"
 #include "mlir/Dialect/SCF/IR/SCF.h"
@@ -6,6 +7,7 @@
 #include "mlir/IR/Matchers.h"
 #include "mlir/IR/PatternMatch.h"
 #include "mlir/Transforms/FoldUtils.h"
+#include "mlir/Transforms/RegionUtils.h"
 
 #include "llvm/ADT/DenseMap.h"
 #include "llvm/ADT/DenseSet.h"
@@ -15,8 +17,6 @@
 #include "llvm/Support/FormatVariadic.h"
 
 #include <algorithm>
-#include <cstddef>
-#include <cstdint>
 #include <limits>
 #include <optional>
 #include <utility>
@@ -593,40 +593,90 @@ bool allEqual(ArrayRef<int32_t> values) {
   return true;
 }
 
-Value createLaneIndexedIndexValue(MaterializerState& state,
-                                  MaterializedClass& materializedClass,
-                                  ArrayRef<int64_t> values,
-                                  Location loc) {
-  assert(materializedClass.isBatch && "lane-indexed value requires a materialized batch class");
-  assert(values.size() == materializedClass.cpus.size() && "expected one value per materialized batch lane");
+struct IndexedIndexPattern {
+  int64_t base = 0;
+  int64_t step = 0;
+  int64_t period = 1;
+  int64_t innerStep = 0;
+  int64_t outerStep = 0;
+  bool isTiled = false;
+};
 
-  if (allEqual(values))
-    return createIndexConstant(state, materializedClass.op, values.front());
+bool matchAffineSequence(ArrayRef<int64_t> values, IndexedIndexPattern& pattern) {
+  assert(!values.empty() && "expected at least one value");
 
-  auto batch = cast<SpatComputeBatch>(materializedClass.op);
-  auto laneArg = batch.getLaneArgument();
-  assert(laneArg && "expected compute_batch lane argument");
+  pattern.base = values.front();
+  pattern.step = values.size() == 1 ? 0 : values[1] - values[0];
+  pattern.isTiled = false;
 
-  Value table = createIndexTensorConstant(state, materializedClass.op, values);
-  return tensor::ExtractOp::create(state.rewriter, loc, table, ValueRange {*laneArg}).getResult();
+  for (auto [index, value] : llvm::enumerate(values)) {
+    int64_t expected = pattern.base + pattern.step * static_cast<int64_t>(index);
+    if (value != expected)
+      return false;
+  }
+
+  return true;
 }
 
-Value createLaneIndexedIndexValue(MaterializerState& state,
-                                  MaterializedClass& materializedClass,
-                                  ArrayRef<int32_t> values,
-                                  Location loc) {
-  assert(materializedClass.isBatch && "lane-indexed value requires a materialized batch class");
-  assert(values.size() == materializedClass.cpus.size() && "expected one value per materialized batch lane");
+bool matchTiledAffineSequence(ArrayRef<int64_t> values, IndexedIndexPattern& pattern) {
+  assert(!values.empty() && "expected at least one value");
 
-  if (allEqual(values))
-    return createIndexConstant(state, materializedClass.op, values.front());
+  for (int64_t period = 2; period <= static_cast<int64_t>(values.size() / 2); ++period) {
+    int64_t base = values.front();
+    int64_t innerStep = values[1] - values[0];
+    int64_t outerStep = values[period] - values[0];
 
-  auto batch = cast<SpatComputeBatch>(materializedClass.op);
-  auto laneArg = batch.getLaneArgument();
-  assert(laneArg && "expected compute_batch lane argument");
+    bool matches = true;
+    for (auto [index, value] : llvm::enumerate(values)) {
+      int64_t i = static_cast<int64_t>(index);
+      int64_t expected = base + outerStep * (i / period) + innerStep * (i % period);
+      if (value != expected) {
+        matches = false;
+        break;
+      }
+    }
 
-  Value table = createIndexTensorConstant(state, materializedClass.op, values);
-  return tensor::ExtractOp::create(state.rewriter, loc, table, ValueRange {*laneArg}).getResult();
+    if (!matches)
+      continue;
+
+    pattern.base = base;
+    pattern.period = period;
+    pattern.innerStep = innerStep;
+    pattern.outerStep = outerStep;
+    pattern.isTiled = true;
+    return true;
+  }
+
+  return false;
+}
+
+std::optional<IndexedIndexPattern> getIndexedIndexPattern(ArrayRef<int64_t> values) {
+  assert(!values.empty() && "expected at least one value");
+
+  IndexedIndexPattern pattern;
+  if (matchAffineSequence(values, pattern))
+    return pattern;
+  if (matchTiledAffineSequence(values, pattern))
+    return pattern;
+
+  return std::nullopt;
+}
+
+Value createAffineIndexValue(MaterializerState& state, const IndexedIndexPattern& pattern, Value index, Location loc) {
+  MLIRContext* context = state.func.getContext();
+  AffineExpr d0 = getAffineDimExpr(0, context);
+
+  AffineExpr expr;
+  if (!pattern.isTiled) {
+    expr = getAffineConstantExpr(pattern.base, context) + d0 * pattern.step;
+  }
+  else {
+    expr = getAffineConstantExpr(pattern.base, context) + d0.floorDiv(pattern.period) * pattern.outerStep
+         + (d0 % pattern.period) * pattern.innerStep;
+  }
+
+  AffineMap map = AffineMap::get(/*dimCount=*/1, /*symbolCount=*/0, expr);
+  return affine::AffineApplyOp::create(state.rewriter, loc, map, ValueRange {index}).getResult();
 }
 
 Value createIndexedIndexValue(
@@ -636,6 +686,9 @@ Value createIndexedIndexValue(
   if (allEqual(values))
     return createIndexConstant(state, anchor, values.front());
 
+  if (std::optional<IndexedIndexPattern> pattern = getIndexedIndexPattern(values))
+    return createAffineIndexValue(state, *pattern, index, loc);
+
   Value table = createIndexTensorConstant(state, anchor, values);
   return tensor::ExtractOp::create(state.rewriter, loc, table, ValueRange {index}).getResult();
 }
@@ -644,11 +697,41 @@ Value createIndexedIndexValue(
   MaterializerState& state, Operation* anchor, ArrayRef<int32_t> values, Value index, Location loc) {
   assert(!values.empty() && "expected at least one indexed value");
 
-  if (allEqual(values))
-    return createIndexConstant(state, anchor, values.front());
+  SmallVector<int64_t, 8> widened;
+  widened.reserve(values.size());
+  for (int32_t value : values)
+    widened.push_back(value);
 
-  Value table = createIndexTensorConstant(state, anchor, values);
-  return tensor::ExtractOp::create(state.rewriter, loc, table, ValueRange {index}).getResult();
+  return createIndexedIndexValue(state, anchor, ArrayRef<int64_t>(widened), index, loc);
+}
+
+Value createLaneIndexedIndexValue(MaterializerState& state,
+                                  MaterializedClass& materializedClass,
+                                  ArrayRef<int64_t> values,
+                                  Location loc) {
+  assert(materializedClass.isBatch && "lane-indexed value requires a materialized batch class");
+  assert(values.size() == materializedClass.cpus.size() && "expected one value per materialized batch lane");
+
+  auto batch = cast<SpatComputeBatch>(materializedClass.op);
+  auto laneArg = batch.getLaneArgument();
+  assert(laneArg && "expected compute_batch lane argument");
+
+  return createIndexedIndexValue(state, materializedClass.op, values, *laneArg, loc);
+}
+
+Value createLaneIndexedIndexValue(MaterializerState& state,
+                                  MaterializedClass& materializedClass,
+                                  ArrayRef<int32_t> values,
+                                  Location loc) {
+  assert(materializedClass.isBatch && "lane-indexed value requires a materialized batch class");
+  assert(values.size() == materializedClass.cpus.size() && "expected one value per materialized batch lane");
+
+  SmallVector<int64_t, 8> widened;
+  widened.reserve(values.size());
+  for (int32_t value : values)
+    widened.push_back(value);
+
+  return createLaneIndexedIndexValue(state, materializedClass, ArrayRef<int64_t>(widened), loc);
 }
 
 FailureOr<SmallVector<ComputeInstance, 8>>
@@ -675,38 +758,13 @@ Value createOriginalLaneValue(MaterializerState& state,
   auto batch = cast<SpatComputeBatch>(materializedClass.op);
   auto laneArg = batch.getLaneArgument();
   assert(laneArg && "expected materialized compute_batch lane argument");
-  bool identity = true;
-  for (auto [lane, peer] : llvm::enumerate(peers)) {
-    if (peer.laneCount != 1 || peer.laneStart != lane) {
-      identity = false;
-      break;
-    }
-  }
-  if (identity)
-    return *laneArg;
-
-  bool affineWithBase = true;
-  int64_t base = static_cast<int64_t>(peers.front().laneStart);
-  for (auto [lane, peer] : llvm::enumerate(peers)) {
-    if (peer.laneCount != 1 || static_cast<int64_t>(peer.laneStart) != base + static_cast<int64_t>(lane)) {
-      affineWithBase = false;
-      break;
-    }
-  }
-  if (affineWithBase) {
-    if (base == 0)
-      return *laneArg;
-    Value baseValue = createIndexConstant(state, materializedClass.op, base);
-    return arith::AddIOp::create(state.rewriter, loc, *laneArg, baseValue).getResult();
-  }
 
   SmallVector<int64_t, 8> laneValues;
   laneValues.reserve(peers.size());
   for (const ComputeInstance& peer : peers)
     laneValues.push_back(peer.laneStart);
 
-  Value table = createIndexTensorConstant(state, materializedClass.op, laneValues);
-  return tensor::ExtractOp::create(state.rewriter, loc, table, ValueRange {*laneArg}).getResult();
+  return createIndexedIndexValue(state, materializedClass.op, ArrayRef<int64_t>(laneValues), *laneArg, loc);
 }
 
 bool hasLiveExternalUse(Value value, const DenseSet<Operation*>& oldComputeOps) {
@@ -1686,6 +1744,8 @@ MergeScheduleMaterializer::run(func::FuncOp func, const MergeScheduleResult& sch
   if (failed(eraseOldComputeOps(state)))
     return failure();
 
+  LogicalResult _ = runRegionDCE(state.rewriter, state.func.getBody());
+
   return success();
 }