diff --git a/src/V3Assert.cpp b/src/V3Assert.cpp
index 5a446fb1d..752eb0ea0 100644
--- a/src/V3Assert.cpp
+++ b/src/V3Assert.cpp
@@ -73,25 +73,31 @@ private:
     AstNode* newIfAssertOn(AstNode* nodep) {
 	// Add a internal if to check assertions are on.
 	// Don't make this a AND term, as it's unlikely to need to test this.
-	return new AstIf (nodep->fileline(),
-			  // If assertions are off, have constant propagation rip them out later
-			  // This allows syntax errors and such to be detected normally.
-			  (v3Global.opt.assertOn()
-			   ? (AstNode*)(new AstCMath(nodep->fileline(), "Verilated::assertOn()", 1))
-			   : (AstNode*)(new AstConst(nodep->fileline(), AstConst::LogicFalse()))),
-			  nodep, NULL);
+	AstNode* newp
+	    = new AstIf (nodep->fileline(),
+			 // If assertions are off, have constant propagation rip them out later
+			 // This allows syntax errors and such to be detected normally.
+			 (v3Global.opt.assertOn()
+			  ? (AstNode*)(new AstCMath(nodep->fileline(), "Verilated::assertOn()", 1))
+			  : (AstNode*)(new AstConst(nodep->fileline(), AstConst::LogicFalse()))),
+			 nodep, NULL);
+	newp->user1(true); // Don't assert/cover this if
+	return newp;
     }
 
     AstNode* newIfCoverageOn(AstNode* nodep) {
 	// Add a internal if to check coverage is on
 	// Don't make this a AND term, as it's unlikely to need to test this.
-	return new AstIf (nodep->fileline(),
-			  // If assertions are off, have constant propagation rip them out later
-			  // This allows syntax errors and such to be detected normally.
-			  (v3Global.opt.coverage()
-			   ? (AstNode*)(new AstConst(nodep->fileline(), AstConst::LogicTrue()))
-			   : (AstNode*)(new AstConst(nodep->fileline(), AstConst::LogicFalse()))),
-			  nodep, NULL);
+	AstNode* newp
+	    = new AstIf (nodep->fileline(),
+			 // If assertions are off, have constant propagation rip them out later
+			 // This allows syntax errors and such to be detected normally.
+			 (v3Global.opt.coverage()
+			  ? (AstNode*)(new AstConst(nodep->fileline(), AstConst::LogicTrue()))
+			  : (AstNode*)(new AstConst(nodep->fileline(), AstConst::LogicFalse()))),
+			 nodep, NULL);
+	newp->user1(true); // Don't assert/cover this if
+	return newp;
     }
 
     AstNode* newFireAssert(AstNode* nodep, const string& message) {
@@ -176,6 +182,7 @@ private:
     }
     
     virtual void visit(AstIf* nodep, AstNUser*) {
+	if (nodep->user1SetOnce()) return;
 	if (nodep->uniquePragma() || nodep->unique0Pragma()) {
 	    AstNodeIf* ifp = nodep;
 	    AstNode* propp = NULL;
@@ -184,13 +191,14 @@ private:
 		// If this statement ends with 'else if', then nextIf will point to the
 		// nextIf statement.  Otherwise it will be null.
 		AstNodeIf* nextifp = dynamic_cast<AstNodeIf*>(ifp->elsesp());
+		ifp->condp()->iterateAndNext(*this);
 
 		// Recurse into the true case.
-		ifp->ifsp()->iterateChildren(*this);
+		ifp->ifsp()->iterateAndNext(*this);
 		
 		// If the last else is not an else if, recurse into that too.
 		if (ifp->elsesp() && !nextifp) {
-		    ifp->elsesp()->iterateChildren(*this);
+		    ifp->elsesp()->iterateAndNext(*this);
 		}
 		
 		// Build a bitmask of the true predicates
@@ -225,8 +233,7 @@ private:
 	    nodep->replaceWith(checkifp);
 	    pushDeletep(nodep);
 	} else {
-	    nodep->ifsp()->iterateChildren(*this);
-	    nodep->elsesp()->iterateChildren(*this);
+	    nodep->iterateChildren(*this);
 	}
     }
 
diff --git a/src/V3Branch.cpp b/src/V3Branch.cpp
index 37521c8c4..699f9b8e2 100644
--- a/src/V3Branch.cpp
+++ b/src/V3Branch.cpp
@@ -94,9 +94,9 @@ private:
 
 public:
     // CONSTUCTORS
-    BranchVisitor(AstNetlist* rootp) {
+    BranchVisitor(AstNetlist* nodep) {
 	reset();
-	rootp->iterateChildren(*this);
+	nodep->iterateChildren(*this);
     }
     virtual ~BranchVisitor() {}
 };
diff --git a/src/V3EmitV.cpp b/src/V3EmitV.cpp
index b2c012af9..d1af2895c 100644
--- a/src/V3EmitV.cpp
+++ b/src/V3EmitV.cpp
@@ -245,23 +245,23 @@ class EmitVBaseVisitor : public EmitCBaseVisitor {
     virtual void visit(AstFOpen* nodep, AstNUser*) {
 	putfs(nodep,nodep->verilogKwd());
 	putbs(" (");
-	if (nodep->filep()) nodep->filep()->iterateChildren(*this);
+	if (nodep->filep()) nodep->filep()->iterateAndNext(*this);
 	putbs(",");
-	if (nodep->filenamep()) nodep->filenamep()->iterateChildren(*this);
+	if (nodep->filenamep()) nodep->filenamep()->iterateAndNext(*this);
 	putbs(",");
-	if (nodep->modep()) nodep->modep()->iterateChildren(*this);
+	if (nodep->modep()) nodep->modep()->iterateAndNext(*this);
 	puts(");\n");
     }
     virtual void visit(AstFClose* nodep, AstNUser*) {
 	putfs(nodep,nodep->verilogKwd());
 	putbs(" (");
-	if (nodep->filep()) nodep->filep()->iterateChildren(*this);
+	if (nodep->filep()) nodep->filep()->iterateAndNext(*this);
 	puts(");\n");
     }
     virtual void visit(AstFFlush* nodep, AstNUser*) {
 	putfs(nodep,nodep->verilogKwd());
 	putbs(" (");
-	if (nodep->filep()) nodep->filep()->iterateChildren(*this);
+	if (nodep->filep()) nodep->filep()->iterateAndNext(*this);
 	puts(");\n");
     }
     virtual void visit(AstJumpGo* nodep, AstNUser*) {
@@ -269,23 +269,23 @@ class EmitVBaseVisitor : public EmitCBaseVisitor {
     }
     virtual void visit(AstJumpLabel* nodep, AstNUser*) {
 	putbs("begin : "+cvtToStr((void*)(nodep))+"\n");
-	if (nodep->stmtsp()) nodep->stmtsp()->iterateChildren(*this);
+	if (nodep->stmtsp()) nodep->stmtsp()->iterateAndNext(*this);
 	puts("end\n");
     }
     virtual void visit(AstReadMem* nodep, AstNUser*) {
 	putfs(nodep,nodep->verilogKwd());
 	putbs(" (");
-	if (nodep->filenamep()) nodep->filenamep()->iterateChildren(*this);
+	if (nodep->filenamep()) nodep->filenamep()->iterateAndNext(*this);
 	putbs(",");
-	if (nodep->memp()) nodep->memp()->iterateChildren(*this);
-	if (nodep->lsbp()) { putbs(","); nodep->lsbp()->iterateChildren(*this); }
-	if (nodep->msbp()) { putbs(","); nodep->msbp()->iterateChildren(*this); }
+	if (nodep->memp()) nodep->memp()->iterateAndNext(*this);
+	if (nodep->lsbp()) { putbs(","); nodep->lsbp()->iterateAndNext(*this); }
+	if (nodep->msbp()) { putbs(","); nodep->msbp()->iterateAndNext(*this); }
 	puts(");\n");
     }
     virtual void visit(AstSysIgnore* nodep, AstNUser*) {
 	putfs(nodep,nodep->verilogKwd());
 	putbs(" (");
-	nodep->exprsp()->iterateChildren(*this);
+	nodep->exprsp()->iterateAndNext(*this);
 	puts(");\n");
     }
     virtual void visit(AstNodeFor* nodep, AstNUser*) {
diff --git a/src/V3GenClk.cpp b/src/V3GenClk.cpp
index 2aa5b133e..3fe5a480e 100644
--- a/src/V3GenClk.cpp
+++ b/src/V3GenClk.cpp
@@ -115,7 +115,7 @@ private:
     }
     virtual void visit(AstActive* nodep, AstNUser*) {
 	m_activep = nodep;
-	nodep->sensesp()->iterateChildren(*this);
+	nodep->sensesp()->iterateChildren(*this);  // iterateAndNext?
 	m_activep = NULL;
 	nodep->iterateChildren(*this);
     }
@@ -201,7 +201,7 @@ private:
     virtual void visit(AstActive* nodep, AstNUser*) {
 	UINFO(8,"ACTIVE "<<nodep<<endl);
 	m_activep = nodep;
-	nodep->sensesp()->iterateChildren(*this);
+	nodep->sensesp()->iterateChildren(*this);  // iterateAndNext?
 	m_activep = NULL;
 	nodep->iterateChildren(*this);
     }
diff --git a/src/V3Width.cpp b/src/V3Width.cpp
index 530d367ee..5514ce2a1 100644
--- a/src/V3Width.cpp
+++ b/src/V3Width.cpp
@@ -1711,7 +1711,7 @@ private:
     virtual void visit(AstPslCover* nodep, AstNUser*) {
 	// TOP LEVEL NODE
 	nodep->propp()->iterateAndNext(*this,WidthVP(1,1,BOTH).p());
-	nodep->stmtsp()->iterateChildren(*this,WidthVP(ANYSIZE,0,BOTH).p());
+	nodep->stmtsp()->iterateAndNext(*this);
 	widthCheckReduce(nodep,"Property",nodep->propp());	// it's like an if() condition.
     }
     virtual void visit(AstPslAssert* nodep, AstNUser*) {
diff --git a/test_regress/t/t_assert_basic.v b/test_regress/t/t_assert_basic.v
index 4af4a3d72..02322c752 100644
--- a/test_regress/t/t_assert_basic.v
+++ b/test_regress/t/t_assert_basic.v
@@ -27,6 +27,7 @@ module t (/*AUTOARG*/
       if (cyc!=0) begin
 	 cyc <= cyc + 1;
 	 toggle <= !cyc[0];
+         if (cyc==7) assert (cyc[0] == cyc[1]);  // bug743
 	 if (cyc==9) begin
 `ifdef FAILING_ASSERTIONS
 	    assert (0) else $info;