Index: include/clang/StaticAnalyzer/Core/PathSensitive/SValBuilder.h
===================================================================
--- include/clang/StaticAnalyzer/Core/PathSensitive/SValBuilder.h
+++ include/clang/StaticAnalyzer/Core/PathSensitive/SValBuilder.h
@@ -112,6 +112,11 @@
   /// Evaluates a given SVal. If the SVal has only one possible (integer) value,
   /// that value is returned. Otherwise, returns NULL.
   virtual const llvm::APSInt *getKnownValue(ProgramStateRef state, SVal val) = 0;
+
+  /// Simplify symbolic expressions within a given SVal. Return an SVal
+  /// that represents the same value, but is hopefully easier to work with
+  /// than the original SVal.
+  virtual SVal simplifySVal(ProgramStateRef State, SVal Val) = 0;
   
   /// Constructs a symbolic expression for two non-location values.
   SVal makeSymExprValNN(ProgramStateRef state, BinaryOperator::Opcode op,
Index: lib/StaticAnalyzer/Core/SimpleSValBuilder.cpp
===================================================================
--- lib/StaticAnalyzer/Core/SimpleSValBuilder.cpp
+++ lib/StaticAnalyzer/Core/SimpleSValBuilder.cpp
@@ -14,6 +14,7 @@
 #include "clang/StaticAnalyzer/Core/PathSensitive/SValBuilder.h"
 #include "clang/StaticAnalyzer/Core/PathSensitive/APSIntType.h"
 #include "clang/StaticAnalyzer/Core/PathSensitive/ProgramState.h"
+#include "clang/StaticAnalyzer/Core/PathSensitive/SValVisitor.h"
 
 using namespace clang;
 using namespace ento;
@@ -44,6 +45,10 @@
   ///  (integer) value, that value is returned. Otherwise, returns NULL.
   const llvm::APSInt *getKnownValue(ProgramStateRef state, SVal V) override;
 
+  /// Recursively descends into symbolic expressions and replaces symbols
+  /// with their known values (in the sense of the getKnownValue() method).
+  SVal simplifySVal(ProgramStateRef State, SVal V) override;
+
   SVal MakeSymIntVal(const SymExpr *LHS, BinaryOperator::Opcode op,
                      const llvm::APSInt &RHS, QualType resultTy);
 };
@@ -537,11 +542,12 @@
       // Does the symbolic expression simplify to a constant?
       // If so, "fold" the constant by setting 'lhs' to a ConcreteInt
       // and try again.
-      ConstraintManager &CMgr = state->getConstraintManager();
-      if (const llvm::APSInt *Constant = CMgr.getSymVal(state, Sym)) {
-        lhs = nonloc::ConcreteInt(*Constant);
-        continue;
-      }
+      SVal simplifiedLhs = simplifySVal(state, lhs);
+      if (simplifiedLhs != lhs)
+        if (auto simplifiedLhsAsNonLoc = simplifiedLhs.getAs<NonLoc>()) {
+          lhs = *simplifiedLhsAsNonLoc;
+          continue;
+        }
 
       // Is the RHS a constant?
       if (const llvm::APSInt *RHSValue = getKnownValue(state, rhs))
@@ -993,3 +999,74 @@
   // FIXME: Add support for SymExprs.
   return nullptr;
 }
+
+SVal SimpleSValBuilder::simplifySVal(ProgramStateRef State, SVal V) {
+  // For now, this function tries to constant-fold symbols inside a
+  // nonloc::SymbolVal, and does nothing else. More simplifications should
+  // be possible, such as constant-folding an index in an ElementRegion.
+
+  class Simplifier : public FullSValVisitor<Simplifier, SVal> {
+    ProgramStateRef State;
+    SValBuilder &SVB;
+
+  public:
+    Simplifier(ProgramStateRef State)
+        : State(State), SVB(State->getStateManager().getSValBuilder()) {}
+
+    SVal VisitSymbolData(const SymbolData *S) {
+      if (const llvm::APSInt *I =
+              SVB.getKnownValue(State, nonloc::SymbolVal(S)))
+        return Loc::isLocType(S->getType()) ? (SVal)SVB.makeIntLocVal(*I)
+                                            : (SVal)SVB.makeIntVal(*I);
+      return nonloc::SymbolVal(S);
+    }
+
+    // TODO: Support SymbolCast. Support IntSymExpr when/if we actually
+    // start producing them.
+
+    SVal VisitSymIntExpr(const SymIntExpr *S) {
+      SVal LHS = Visit(S->getLHS());
+      SVal RHS;
+      // By looking at the APSInt in the right-hand side of S, we cannot
+      // figure out if it should be treated as a Loc or as a NonLoc.
+      // So make our guess by recalling that we cannot multiply pointers
+      // or compare a pointer to an integer.
+      if (Loc::isLocType(S->getLHS()->getType()) &&
+          BinaryOperator::isComparisonOp(S->getOpcode())) {
+        // The usual conversion of $sym to &SymRegion{$sym}, as they have
+        // the same meaning for Loc-type symbols, but the latter form
+        // is preferred in SVal computations for being Loc itself.
+        if (SymbolRef Sym = LHS.getAsSymbol()) {
+          assert(Loc::isLocType(Sym->getType()));
+          LHS = SVB.makeLoc(Sym);
+        }
+        RHS = SVB.makeIntLocVal(S->getRHS());
+      } else {
+        RHS = SVB.makeIntVal(S->getRHS());
+      }
+      return SVB.evalBinOp(State, S->getOpcode(), LHS, RHS, S->getType());
+    }
+
+    SVal VisitSymSymExpr(const SymSymExpr *S) {
+      SVal LHS = Visit(S->getLHS());
+      SVal RHS = Visit(S->getRHS());
+      return SVB.evalBinOp(State, S->getOpcode(), LHS, RHS, S->getType());
+    }
+
+    SVal VisitSymExpr(SymbolRef S) { return nonloc::SymbolVal(S); }
+
+    SVal VisitMemRegion(const MemRegion *R) { return loc::MemRegionVal(R); }
+
+    SVal VisitNonLocSymbolVal(nonloc::SymbolVal V) {
+      // Simplification is much more costly than computing complexity.
+      // For high complexity, it may be not worth it.
+      if (V.getSymbol()->computeComplexity() > 100)
+        return V;
+      return Visit(V.getSymbol());
+    }
+
+    SVal VisitSVal(SVal V) { return V; }
+  };
+
+  return Simplifier(State).Visit(V);
+}
Index: test/Analysis/additive-folding.cpp
===================================================================
--- test/Analysis/additive-folding.cpp
+++ test/Analysis/additive-folding.cpp
@@ -205,3 +205,12 @@
 
   clang_analyzer_eval(x == 3); // expected-warning{{UNKNOWN}}
 }
+
+void additiveSymSymFolding(int x, int y) {
+  // We should simplify 'x - 1' to '0' and handle the comparison,
+  // despite both sides being complicated symbols.
+  int z = x - 1;
+  if (x == 1)
+    if (y >= 0)
+      clang_analyzer_eval(z <= y); // expected-warning{{TRUE}}
+}