diff --git a/lib/checkother.cpp b/lib/checkother.cpp
index 254b4dd9c..862dc1036 100644
--- a/lib/checkother.cpp
+++ b/lib/checkother.cpp
@@ -51,6 +51,9 @@ static bool astIsFloat(const Token *tok, bool unknown)
         return Token::findmatch(tok->variable()->typeStartToken(), "float|double", tok->variable()->typeEndToken()->next(), 0) != nullptr;
     }
 
+    if (tok->isOp())
+        return false;
+
     return unknown;
 }
 
@@ -133,11 +136,21 @@ bool isSameExpression(const Token *tok1, const Token *tok2, const std::set<std::
     // bailout when we see ({..})
     if (tok1->str() == "{")
         return false;
-    if (!isSameExpression(tok1->astOperand1(), tok2->astOperand1(), constFunctions))
-        return false;
-    if (!isSameExpression(tok1->astOperand2(), tok2->astOperand2(), constFunctions))
-        return false;
-    return true;
+    bool noncommuative_equals =
+        isSameExpression(tok1->astOperand1(), tok2->astOperand1(), constFunctions);
+    noncommuative_equals = noncommuative_equals &&
+                           isSameExpression(tok1->astOperand2(), tok2->astOperand2(), constFunctions);
+
+    if (noncommuative_equals)
+        return true;
+
+    bool commutative = tok1->astOperand1() && tok1->astOperand2() && Token::Match(tok1, "+|*|%or%|%oror%|&|&&|^|==|!=");
+    bool commuative_equals = commutative &&
+                             isSameExpression(tok1->astOperand2(), tok2->astOperand1(), constFunctions);
+    commuative_equals = commuative_equals &&
+                        isSameExpression(tok1->astOperand1(), tok2->astOperand2(), constFunctions);
+
+    return commuative_equals;
 }
 
 static bool isOppositeCond(const Token * const cond1, const Token * const cond2, const std::set<std::string> &constFunctions)
diff --git a/test/testother.cpp b/test/testother.cpp
index 35e724bd8..56d24ec16 100644
--- a/test/testother.cpp
+++ b/test/testother.cpp
@@ -4817,6 +4817,11 @@ private:
               "}");
         ASSERT_EQUALS("[test.cpp:2] -> [test.cpp:2]: (style) Same expression on both sides of '&'.\n", errout.str());
 
+        check("void foo(int a, int b) {\n"
+              "    if ((a | b) == (a | b)) {}\n"
+              "}");
+        ASSERT_EQUALS("[test.cpp:2] -> [test.cpp:2]: (style) Same expression on both sides of '=='.\n", errout.str());
+
         check("void foo() {\n"
               "    if (a1[a2[c & 0xff] & 0xff]) {}\n"
               "}");
@@ -4892,6 +4897,22 @@ private:
               "    bool b = bar.isSet() && bar.isSet();\n"
               "}");
         ASSERT_EQUALS("[test.cpp:3] -> [test.cpp:3]: (style) Same expression on both sides of '&&'.\n", errout.str());
+
+
+        check("void foo() {\n"
+              "    if ((b + a) | (a + b)) {}\n"
+              "}");
+        ASSERT_EQUALS("[test.cpp:2] -> [test.cpp:2]: (style) Same expression on both sides of '|'.\n", errout.str());
+
+        check("void foo() {\n"
+              "    if ((b > a) | (a > b)) {}\n" // > is not commutative
+              "}");
+        ASSERT_EQUALS("", errout.str());
+
+        check("void foo() {\n"
+              "    if ((b + a) > (a + b)) {}\n"
+              "}");
+        ASSERT_EQUALS("[test.cpp:2] -> [test.cpp:2]: (style) Same expression on both sides of '>'.\n", errout.str());
     }
 
     void duplicateExpression2() { // check if float is NaN or Inf