diff --git a/mlir/lib/Dialect/SparseTensor/IR/Detail/DimLvlMap.h b/mlir/lib/Dialect/SparseTensor/IR/Detail/DimLvlMap.h
--- a/mlir/lib/Dialect/SparseTensor/IR/Detail/DimLvlMap.h
+++ b/mlir/lib/Dialect/SparseTensor/IR/Detail/DimLvlMap.h
@@ -122,6 +122,7 @@
   /// with respect to the given ranks.
   [[nodiscard]] bool isValid(Ranks const &ranks) const;
 
+  std::string str() const;
   void print(llvm::raw_ostream &os) const;
   void print(AsmPrinter &printer) const;
   void dump() const;
@@ -251,6 +252,7 @@
   bool isFunctionOf(VarSet const &vars) const;
   void getFreeVars(VarSet &vars) const;
 
+  std::string str(bool wantElision = true) const;
   void print(llvm::raw_ostream &os, bool wantElision = true) const;
   void print(AsmPrinter &printer, bool wantElision = true) const;
   void dump() const;
@@ -306,6 +308,7 @@
   bool isFunctionOf(VarSet const &vars) const;
   void getFreeVars(VarSet &vars) const;
 
+  std::string str(bool wantElision = true) const;
   void print(llvm::raw_ostream &os, bool wantElision = true) const;
   void print(AsmPrinter &printer, bool wantElision = true) const;
   void dump() const;
@@ -339,6 +342,7 @@
   AffineMap getDimToLvlMap(MLIRContext *context) const;
   AffineMap getLvlToDimMap(MLIRContext *context) const;
 
+  std::string str(bool wantElision = true) const;
   void print(llvm::raw_ostream &os, bool wantElision = true) const;
   void print(AsmPrinter &printer, bool wantElision = true) const;
   void dump() const;
diff --git a/mlir/lib/Dialect/SparseTensor/IR/Detail/DimLvlMap.cpp b/mlir/lib/Dialect/SparseTensor/IR/Detail/DimLvlMap.cpp
--- a/mlir/lib/Dialect/SparseTensor/IR/Detail/DimLvlMap.cpp
+++ b/mlir/lib/Dialect/SparseTensor/IR/Detail/DimLvlMap.cpp
@@ -98,6 +98,12 @@
   print(llvm::errs());
   llvm::errs() << "\n";
 }
+std::string DimLvlExpr::str() const {
+  std::string str;
+  llvm::raw_string_ostream os(str);
+  print(os);
+  return os.str();
+}
 void DimLvlExpr::print(AsmPrinter &printer) const {
   print(printer.getStream());
 }
@@ -220,6 +226,12 @@
   print(llvm::errs(), /*wantElision=*/false);
   llvm::errs() << "\n";
 }
+std::string DimSpec::str(bool wantElision) const {
+  std::string str;
+  llvm::raw_string_ostream os(str);
+  print(os, wantElision);
+  return os.str();
+}
 void DimSpec::print(AsmPrinter &printer, bool wantElision) const {
   print(printer.getStream(), wantElision);
 }
@@ -260,6 +272,12 @@
   print(llvm::errs(), /*wantElision=*/false);
   llvm::errs() << "\n";
 }
+std::string LvlSpec::str(bool wantElision) const {
+  std::string str;
+  llvm::raw_string_ostream os(str);
+  print(os, wantElision);
+  return os.str();
+}
 void LvlSpec::print(AsmPrinter &printer, bool wantElision) const {
   print(printer.getStream(), wantElision);
 }
@@ -345,6 +363,12 @@
   print(llvm::errs(), /*wantElision=*/false);
   llvm::errs() << "\n";
 }
+std::string DimLvlMap::str(bool wantElision) const {
+  std::string str;
+  llvm::raw_string_ostream os(str);
+  print(os, wantElision);
+  return os.str();
+}
 void DimLvlMap::print(AsmPrinter &printer, bool wantElision) const {
   print(printer.getStream(), wantElision);
 }
diff --git a/mlir/lib/Dialect/SparseTensor/IR/Detail/Var.h b/mlir/lib/Dialect/SparseTensor/IR/Detail/Var.h
--- a/mlir/lib/Dialect/SparseTensor/IR/Detail/Var.h
+++ b/mlir/lib/Dialect/SparseTensor/IR/Detail/Var.h
@@ -197,6 +197,7 @@
   template <typename U>
   constexpr std::optional<U> dyn_cast() const;
 
+  std::string str() const;
   void print(llvm::raw_ostream &os) const;
   void print(AsmPrinter &printer) const;
   void dump() const;
diff --git a/mlir/lib/Dialect/SparseTensor/IR/Detail/Var.cpp b/mlir/lib/Dialect/SparseTensor/IR/Detail/Var.cpp
--- a/mlir/lib/Dialect/SparseTensor/IR/Detail/Var.cpp
+++ b/mlir/lib/Dialect/SparseTensor/IR/Detail/Var.cpp
@@ -25,6 +25,13 @@
 // `Var` implementation.
 //===----------------------------------------------------------------------===//
 
+std::string Var::str() const {
+  std::string str;
+  llvm::raw_string_ostream os(str);
+  print(os);
+  return os.str();
+}
+
 void Var::print(AsmPrinter &printer) const { print(printer.getStream()); }
 
 void Var::print(llvm::raw_ostream &os) const {