diff --git a/ibis/backends/clickhouse/tests/snapshots/test_operators/test_binary_infix_parenthesization/lambda0/out.sql b/ibis/backends/clickhouse/tests/snapshots/test_operators/test_binary_infix_parenthesization/lambda0/out.sql
index dbe622a75a1a..ea28d403dafd 100644
--- a/ibis/backends/clickhouse/tests/snapshots/test_operators/test_binary_infix_parenthesization/lambda0/out.sql
+++ b/ibis/backends/clickhouse/tests/snapshots/test_operators/test_binary_infix_parenthesization/lambda0/out.sql
@@ -1,5 +1,3 @@
 SELECT
-  (
-    "t0"."int_col" + "t0"."tinyint_col"
-  ) + "t0"."double_col" AS "Add(Add(int_col, tinyint_col), double_col)"
+  "t0"."int_col" + "t0"."tinyint_col" + "t0"."double_col" AS "Add(Add(int_col, tinyint_col), double_col)"
 FROM "functional_alltypes" AS "t0"
\ No newline at end of file
diff --git a/ibis/backends/clickhouse/tests/snapshots/test_select/test_named_from_filter_groupby/out1.sql b/ibis/backends/clickhouse/tests/snapshots/test_select/test_named_from_filter_groupby/out1.sql
index a3b900a39f70..bce8cb2c918a 100644
--- a/ibis/backends/clickhouse/tests/snapshots/test_select/test_named_from_filter_groupby/out1.sql
+++ b/ibis/backends/clickhouse/tests/snapshots/test_select/test_named_from_filter_groupby/out1.sql
@@ -1,10 +1,6 @@
 SELECT
   "t1"."key" AS "key",
-  SUM((
-    (
-      "t1"."value" + 1
-    ) + 2
-  ) + 3) AS "abc"
+  SUM("t1"."value" + 1 + 2 + 3) AS "abc"
 FROM (
   SELECT
     *
diff --git a/ibis/backends/clickhouse/tests/snapshots/test_select/test_named_from_filter_groupby/out2.sql b/ibis/backends/clickhouse/tests/snapshots/test_select/test_named_from_filter_groupby/out2.sql
index 0c1b8f8a4a27..fa1932e2b1c5 100644
--- a/ibis/backends/clickhouse/tests/snapshots/test_select/test_named_from_filter_groupby/out2.sql
+++ b/ibis/backends/clickhouse/tests/snapshots/test_select/test_named_from_filter_groupby/out2.sql
@@ -1,10 +1,6 @@
 SELECT
   "t1"."key" AS "key",
-  SUM((
-    (
-      "t1"."value" + 1
-    ) + 2
-  ) + 3) AS "foo"
+  SUM("t1"."value" + 1 + 2 + 3) AS "foo"
 FROM (
   SELECT
     *
diff --git a/ibis/backends/impala/tests/snapshots/test_exprs/test_named_from_filter_group_by/abc.sql b/ibis/backends/impala/tests/snapshots/test_exprs/test_named_from_filter_group_by/abc.sql
index c5e097cf1918..ced04c5596d0 100644
--- a/ibis/backends/impala/tests/snapshots/test_exprs/test_named_from_filter_group_by/abc.sql
+++ b/ibis/backends/impala/tests/snapshots/test_exprs/test_named_from_filter_group_by/abc.sql
@@ -1 +1 @@
-SELECT `t1`.`key`, SUM(((`t1`.`value` + 1) + 2) + 3) AS `abc` FROM (SELECT * FROM `t0` AS `t0` WHERE `t0`.`value` = 42) AS `t1` GROUP BY 1
\ No newline at end of file
+SELECT `t1`.`key`, SUM(`t1`.`value` + 1 + 2 + 3) AS `abc` FROM (SELECT * FROM `t0` AS `t0` WHERE `t0`.`value` = 42) AS `t1` GROUP BY 1
\ No newline at end of file
diff --git a/ibis/backends/impala/tests/snapshots/test_exprs/test_named_from_filter_group_by/foo.sql b/ibis/backends/impala/tests/snapshots/test_exprs/test_named_from_filter_group_by/foo.sql
index a1218425e6e3..347ab11293cb 100644
--- a/ibis/backends/impala/tests/snapshots/test_exprs/test_named_from_filter_group_by/foo.sql
+++ b/ibis/backends/impala/tests/snapshots/test_exprs/test_named_from_filter_group_by/foo.sql
@@ -1 +1 @@
-SELECT `t1`.`key`, SUM(((`t1`.`value` + 1) + 2) + 3) AS `foo` FROM (SELECT * FROM `t0` AS `t0` WHERE `t0`.`value` = 42) AS `t1` GROUP BY 1
\ No newline at end of file
+SELECT `t1`.`key`, SUM(`t1`.`value` + 1 + 2 + 3) AS `foo` FROM (SELECT * FROM `t0` AS `t0` WHERE `t0`.`value` = 42) AS `t1` GROUP BY 1
\ No newline at end of file
diff --git a/ibis/backends/impala/tests/snapshots/test_value_exprs/test_binary_infix_parenthesization/parens_left/out.sql b/ibis/backends/impala/tests/snapshots/test_value_exprs/test_binary_infix_parenthesization/parens_left/out.sql
index 5129499fb406..d42802631f11 100644
--- a/ibis/backends/impala/tests/snapshots/test_value_exprs/test_binary_infix_parenthesization/parens_left/out.sql
+++ b/ibis/backends/impala/tests/snapshots/test_value_exprs/test_binary_infix_parenthesization/parens_left/out.sql
@@ -1,5 +1,3 @@
 SELECT
-  (
-    `t0`.`a` + `t0`.`b`
-  ) + `t0`.`c` AS `Add(Add(a, b), c)`
+  `t0`.`a` + `t0`.`b` + `t0`.`c` AS `Add(Add(a, b), c)`
 FROM `alltypes` AS `t0`
\ No newline at end of file
diff --git a/ibis/backends/sql/compilers/base.py b/ibis/backends/sql/compilers/base.py
index 687b44b270f6..2b9031548c6e 100644
--- a/ibis/backends/sql/compilers/base.py
+++ b/ibis/backends/sql/compilers/base.py
@@ -239,20 +239,6 @@ def __getitem__(self, key: str) -> sge.Column:
 STAR = sge.Star()
 
 
-def parenthesize_inputs(f):
-    """Decorate a translation rule to parenthesize inputs."""
-
-    def wrapper(self, op, *, left, right):
-        return f(
-            self,
-            op,
-            left=self._add_parens(op.left, left),
-            right=self._add_parens(op.right, right),
-        )
-
-    return wrapper
-
-
 @public
 class SQLGlotCompiler(abc.ABC):
     __slots__ = "f", "v"
@@ -393,45 +379,50 @@ class SQLGlotCompiler(abc.ABC):
         ops.Uppercase: "upper",
     }
 
-    BINARY_INFIX_OPS = (
-        # Binary operations
-        ops.Add,
-        ops.Subtract,
-        ops.Multiply,
-        ops.Divide,
-        ops.Modulus,
-        ops.Power,
+    BINARY_INFIX_OPS = {
+        # Numeric
+        ops.Add: (sge.Add, True),
+        ops.Subtract: (sge.Sub, False),
+        ops.Multiply: (sge.Mul, True),
+        ops.Divide: (sge.Div, False),
+        ops.Modulus: (sge.Mod, False),
+        ops.Power: (sge.Pow, False),
         # Comparisons
-        ops.GreaterEqual,
-        ops.Greater,
-        ops.LessEqual,
-        ops.Less,
-        ops.Equals,
-        ops.NotEquals,
-        # Boolean comparisons
-        ops.And,
-        ops.Or,
-        ops.Xor,
-        # Bitwise business
-        ops.BitwiseLeftShift,
-        ops.BitwiseRightShift,
-        ops.BitwiseAnd,
-        ops.BitwiseOr,
-        ops.BitwiseXor,
-        # Time arithmetic
-        ops.DateAdd,
-        ops.DateSub,
-        ops.DateDiff,
-        ops.TimestampAdd,
-        ops.TimestampSub,
-        ops.TimestampDiff,
-        # Interval Marginalia
-        ops.IntervalAdd,
-        ops.IntervalMultiply,
-        ops.IntervalSubtract,
-    )
+        ops.GreaterEqual: (sge.GTE, False),
+        ops.Greater: (sge.GT, False),
+        ops.LessEqual: (sge.LTE, False),
+        ops.Less: (sge.LT, False),
+        ops.Equals: (sge.EQ, False),
+        ops.NotEquals: (sge.NEQ, False),
+        # Logical
+        ops.And: (sge.And, True),
+        ops.Or: (sge.Or, True),
+        ops.Xor: (sge.Xor, True),
+        # Bitwise
+        ops.BitwiseLeftShift: (sge.BitwiseLeftShift, False),
+        ops.BitwiseRightShift: (sge.BitwiseRightShift, False),
+        ops.BitwiseAnd: (sge.BitwiseAnd, True),
+        ops.BitwiseOr: (sge.BitwiseOr, True),
+        ops.BitwiseXor: (sge.BitwiseXor, True),
+        # Date
+        ops.DateAdd: (sge.Add, True),
+        ops.DateSub: (sge.Sub, False),
+        ops.DateDiff: (sge.Sub, False),
+        # Time
+        ops.TimeAdd: (sge.Add, True),
+        ops.TimeSub: (sge.Sub, False),
+        ops.TimeDiff: (sge.Sub, False),
+        # Timestamp
+        ops.TimestampAdd: (sge.Add, True),
+        ops.TimestampSub: (sge.Sub, False),
+        ops.TimestampDiff: (sge.Sub, False),
+        # Interval
+        ops.IntervalAdd: (sge.Add, True),
+        ops.IntervalMultiply: (sge.Mul, True),
+        ops.IntervalSubtract: (sge.Sub, False),
+    }
 
-    NEEDS_PARENS = BINARY_INFIX_OPS + (ops.IsNull,)
+    NEEDS_PARENS = tuple(BINARY_INFIX_OPS) + (ops.IsNull,)
 
     # Constructed dynamically in `__init_subclass__` from their respective
     # UPPERCASE values to handle inheritance, do not modify directly here.
@@ -469,6 +460,19 @@ def impl(self, _, *, _name: str = target_name, **kw):
         for op, target_name in cls.SIMPLE_OPS.items():
             setattr(cls, methodname(op), make_impl(op, target_name))
 
+        # Define binary op methods, only if BINARY_INFIX_OPS is set on the
+        # compiler class.
+        if binops := cls.__dict__.get("BINARY_INFIX_OPS", {}):
+
+            def make_binop(sge_cls, associative):
+                def impl(self, op, *, left, right):
+                    return self.binop(sge_cls, op, left, right, associative=associative)
+
+                return impl
+
+            for op, (sge_cls, associative) in binops.items():
+                setattr(cls, methodname(op), make_binop(sge_cls, associative))
+
         # unconditionally raise an exception for unsupported operations
         #
         # these *must* be defined after SIMPLE_OPS to handle compilers that
@@ -1505,93 +1509,16 @@ def visit_SQLQueryResult(self, op, *, query, schema, source):
     def visit_RegexExtract(self, op, *, arg, pattern, index):
         return self.f.regexp_extract(arg, pattern, index, dialect=self.dialect)
 
-    @parenthesize_inputs
-    def visit_Add(self, op, *, left, right):
-        return sge.Add(this=left, expression=right)
-
-    visit_DateAdd = visit_TimestampAdd = visit_IntervalAdd = visit_Add
-
-    @parenthesize_inputs
-    def visit_Subtract(self, op, *, left, right):
-        return sge.Sub(this=left, expression=right)
-
-    visit_DateSub = visit_DateDiff = visit_TimestampSub = visit_TimestampDiff = (
-        visit_IntervalSubtract
-    ) = visit_Subtract
-
-    @parenthesize_inputs
-    def visit_Multiply(self, op, *, left, right):
-        return sge.Mul(this=left, expression=right)
-
-    visit_IntervalMultiply = visit_Multiply
-
-    @parenthesize_inputs
-    def visit_Divide(self, op, *, left, right):
-        return sge.Div(this=left, expression=right)
-
-    @parenthesize_inputs
-    def visit_Modulus(self, op, *, left, right):
-        return sge.Mod(this=left, expression=right)
-
-    @parenthesize_inputs
-    def visit_Power(self, op, *, left, right):
-        return sge.Pow(this=left, expression=right)
-
-    @parenthesize_inputs
-    def visit_GreaterEqual(self, op, *, left, right):
-        return sge.GTE(this=left, expression=right)
-
-    @parenthesize_inputs
-    def visit_Greater(self, op, *, left, right):
-        return sge.GT(this=left, expression=right)
-
-    @parenthesize_inputs
-    def visit_LessEqual(self, op, *, left, right):
-        return sge.LTE(this=left, expression=right)
-
-    @parenthesize_inputs
-    def visit_Less(self, op, *, left, right):
-        return sge.LT(this=left, expression=right)
-
-    @parenthesize_inputs
-    def visit_Equals(self, op, *, left, right):
-        return sge.EQ(this=left, expression=right)
-
-    @parenthesize_inputs
-    def visit_NotEquals(self, op, *, left, right):
-        return sge.NEQ(this=left, expression=right)
-
-    @parenthesize_inputs
-    def visit_And(self, op, *, left, right):
-        return sge.And(this=left, expression=right)
-
-    @parenthesize_inputs
-    def visit_Or(self, op, *, left, right):
-        return sge.Or(this=left, expression=right)
-
-    @parenthesize_inputs
-    def visit_Xor(self, op, *, left, right):
-        return sge.Xor(this=left, expression=right)
-
-    @parenthesize_inputs
-    def visit_BitwiseLeftShift(self, op, *, left, right):
-        return sge.BitwiseLeftShift(this=left, expression=right)
-
-    @parenthesize_inputs
-    def visit_BitwiseRightShift(self, op, *, left, right):
-        return sge.BitwiseRightShift(this=left, expression=right)
-
-    @parenthesize_inputs
-    def visit_BitwiseAnd(self, op, *, left, right):
-        return sge.BitwiseAnd(this=left, expression=right)
-
-    @parenthesize_inputs
-    def visit_BitwiseOr(self, op, *, left, right):
-        return sge.BitwiseOr(this=left, expression=right)
-
-    @parenthesize_inputs
-    def visit_BitwiseXor(self, op, *, left, right):
-        return sge.BitwiseXor(this=left, expression=right)
+    def binop(self, sg_expr, op, left, right, *, associative=False):
+        # If the op is associative we can skip parenthesizing ops of the same
+        # type if they're on the left, since they would evaluate the same.
+        # SQLGlot has an optimizer for generating long sql chains of the same
+        # op of this form without recursion, by avoiding parenthesis in this
+        # common case we can make use of this optimization to handle large
+        # operator chains.
+        if not associative or type(op) is not type(op.left):
+            left = self._add_parens(op.left, left)
+        return sg_expr(this=left, expression=self._add_parens(op.right, right))
 
     def visit_Undefined(self, op, **_):
         raise com.OperationNotDefinedError(
diff --git a/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/add-dateintervalD/out.sql b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/add-dateintervalD/out.sql
new file mode 100644
index 000000000000..5dc42e651bf3
--- /dev/null
+++ b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/add-dateintervalD/out.sql
@@ -0,0 +1,8 @@
+SELECT
+  "t0"."a" + "t0"."b" + "t0"."c" AS "x"
+FROM "t" AS "t0" --- op(op(a, b), c);
+SELECT
+  "t0"."a" + (
+    "t0"."b" + "t0"."c"
+  ) AS "x"
+FROM "t" AS "t0" --- op(a, op(b, c));
diff --git a/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/add-int8/out.sql b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/add-int8/out.sql
new file mode 100644
index 000000000000..5dc42e651bf3
--- /dev/null
+++ b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/add-int8/out.sql
@@ -0,0 +1,8 @@
+SELECT
+  "t0"."a" + "t0"."b" + "t0"."c" AS "x"
+FROM "t" AS "t0" --- op(op(a, b), c);
+SELECT
+  "t0"."a" + (
+    "t0"."b" + "t0"."c"
+  ) AS "x"
+FROM "t" AS "t0" --- op(a, op(b, c));
diff --git a/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/add-interval/out.sql b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/add-interval/out.sql
new file mode 100644
index 000000000000..5dc42e651bf3
--- /dev/null
+++ b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/add-interval/out.sql
@@ -0,0 +1,8 @@
+SELECT
+  "t0"."a" + "t0"."b" + "t0"."c" AS "x"
+FROM "t" AS "t0" --- op(op(a, b), c);
+SELECT
+  "t0"."a" + (
+    "t0"."b" + "t0"."c"
+  ) AS "x"
+FROM "t" AS "t0" --- op(a, op(b, c));
diff --git a/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/add-timeinterval/out.sql b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/add-timeinterval/out.sql
new file mode 100644
index 000000000000..5dc42e651bf3
--- /dev/null
+++ b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/add-timeinterval/out.sql
@@ -0,0 +1,8 @@
+SELECT
+  "t0"."a" + "t0"."b" + "t0"."c" AS "x"
+FROM "t" AS "t0" --- op(op(a, b), c);
+SELECT
+  "t0"."a" + (
+    "t0"."b" + "t0"."c"
+  ) AS "x"
+FROM "t" AS "t0" --- op(a, op(b, c));
diff --git a/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/add-timestampinterval/out.sql b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/add-timestampinterval/out.sql
new file mode 100644
index 000000000000..5dc42e651bf3
--- /dev/null
+++ b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/add-timestampinterval/out.sql
@@ -0,0 +1,8 @@
+SELECT
+  "t0"."a" + "t0"."b" + "t0"."c" AS "x"
+FROM "t" AS "t0" --- op(op(a, b), c);
+SELECT
+  "t0"."a" + (
+    "t0"."b" + "t0"."c"
+  ) AS "x"
+FROM "t" AS "t0" --- op(a, op(b, c));
diff --git a/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/and_-bool/out.sql b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/and_-bool/out.sql
new file mode 100644
index 000000000000..b516c992a3d7
--- /dev/null
+++ b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/and_-bool/out.sql
@@ -0,0 +1,8 @@
+SELECT
+  "t0"."a" AND "t0"."b" AND "t0"."c" AS "x"
+FROM "t" AS "t0" --- op(op(a, b), c);
+SELECT
+  "t0"."a" AND (
+    "t0"."b" AND "t0"."c"
+  ) AS "x"
+FROM "t" AS "t0" --- op(a, op(b, c));
diff --git a/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/and_-int8/out.sql b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/and_-int8/out.sql
new file mode 100644
index 000000000000..b6073fe25b30
--- /dev/null
+++ b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/and_-int8/out.sql
@@ -0,0 +1,8 @@
+SELECT
+  "t0"."a" & "t0"."b" & "t0"."c" AS "x"
+FROM "t" AS "t0" --- op(op(a, b), c);
+SELECT
+  "t0"."a" & (
+    "t0"."b" & "t0"."c"
+  ) AS "x"
+FROM "t" AS "t0" --- op(a, op(b, c));
diff --git a/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/lshift-int8/out.sql b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/lshift-int8/out.sql
new file mode 100644
index 000000000000..c95b7e0981e6
--- /dev/null
+++ b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/lshift-int8/out.sql
@@ -0,0 +1,10 @@
+SELECT
+  (
+    "t0"."a" << "t0"."b"
+  ) << "t0"."c" AS "x"
+FROM "t" AS "t0" --- op(op(a, b), c);
+SELECT
+  "t0"."a" << (
+    "t0"."b" << "t0"."c"
+  ) AS "x"
+FROM "t" AS "t0" --- op(a, op(b, c));
diff --git a/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/mod-int8/out.sql b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/mod-int8/out.sql
new file mode 100644
index 000000000000..1b905f606640
--- /dev/null
+++ b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/mod-int8/out.sql
@@ -0,0 +1,10 @@
+SELECT
+  (
+    "t0"."a" % "t0"."b"
+  ) % "t0"."c" AS "x"
+FROM "t" AS "t0" --- op(op(a, b), c);
+SELECT
+  "t0"."a" % (
+    "t0"."b" % "t0"."c"
+  ) AS "x"
+FROM "t" AS "t0" --- op(a, op(b, c));
diff --git a/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/mul-int8/out.sql b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/mul-int8/out.sql
new file mode 100644
index 000000000000..23229e9a74f3
--- /dev/null
+++ b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/mul-int8/out.sql
@@ -0,0 +1,8 @@
+SELECT
+  "t0"."a" * "t0"."b" * "t0"."c" AS "x"
+FROM "t" AS "t0" --- op(op(a, b), c);
+SELECT
+  "t0"."a" * (
+    "t0"."b" * "t0"."c"
+  ) AS "x"
+FROM "t" AS "t0" --- op(a, op(b, c));
diff --git a/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/mul-intervalint8/out.sql b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/mul-intervalint8/out.sql
new file mode 100644
index 000000000000..23229e9a74f3
--- /dev/null
+++ b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/mul-intervalint8/out.sql
@@ -0,0 +1,8 @@
+SELECT
+  "t0"."a" * "t0"."b" * "t0"."c" AS "x"
+FROM "t" AS "t0" --- op(op(a, b), c);
+SELECT
+  "t0"."a" * (
+    "t0"."b" * "t0"."c"
+  ) AS "x"
+FROM "t" AS "t0" --- op(a, op(b, c));
diff --git a/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/or_-bool/out.sql b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/or_-bool/out.sql
new file mode 100644
index 000000000000..d7e389da152b
--- /dev/null
+++ b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/or_-bool/out.sql
@@ -0,0 +1,8 @@
+SELECT
+  "t0"."a" OR "t0"."b" OR "t0"."c" AS "x"
+FROM "t" AS "t0" --- op(op(a, b), c);
+SELECT
+  "t0"."a" OR (
+    "t0"."b" OR "t0"."c"
+  ) AS "x"
+FROM "t" AS "t0" --- op(a, op(b, c));
diff --git a/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/or_-int8/out.sql b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/or_-int8/out.sql
new file mode 100644
index 000000000000..8405cf7265a5
--- /dev/null
+++ b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/or_-int8/out.sql
@@ -0,0 +1,8 @@
+SELECT
+  "t0"."a" | "t0"."b" | "t0"."c" AS "x"
+FROM "t" AS "t0" --- op(op(a, b), c);
+SELECT
+  "t0"."a" | (
+    "t0"."b" | "t0"."c"
+  ) AS "x"
+FROM "t" AS "t0" --- op(a, op(b, c));
diff --git a/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/pow-int8/out.sql b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/pow-int8/out.sql
new file mode 100644
index 000000000000..8021afa46650
--- /dev/null
+++ b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/pow-int8/out.sql
@@ -0,0 +1,10 @@
+SELECT
+  POWER((
+    POWER("t0"."a", "t0"."b")
+  ), "t0"."c") AS "x"
+FROM "t" AS "t0" --- op(op(a, b), c);
+SELECT
+  POWER("t0"."a", (
+    POWER("t0"."b", "t0"."c")
+  )) AS "x"
+FROM "t" AS "t0" --- op(a, op(b, c));
diff --git a/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/rshift-int8/out.sql b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/rshift-int8/out.sql
new file mode 100644
index 000000000000..6daf9292c1e1
--- /dev/null
+++ b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/rshift-int8/out.sql
@@ -0,0 +1,10 @@
+SELECT
+  (
+    "t0"."a" >> "t0"."b"
+  ) >> "t0"."c" AS "x"
+FROM "t" AS "t0" --- op(op(a, b), c);
+SELECT
+  "t0"."a" >> (
+    "t0"."b" >> "t0"."c"
+  ) AS "x"
+FROM "t" AS "t0" --- op(a, op(b, c));
diff --git a/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/sub-dateintervalD/out.sql b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/sub-dateintervalD/out.sql
new file mode 100644
index 000000000000..5f0054cd14f8
--- /dev/null
+++ b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/sub-dateintervalD/out.sql
@@ -0,0 +1,10 @@
+SELECT
+  (
+    "t0"."a" - "t0"."b"
+  ) - "t0"."c" AS "x"
+FROM "t" AS "t0" --- op(op(a, b), c);
+SELECT
+  "t0"."a" - (
+    "t0"."b" - "t0"."c"
+  ) AS "x"
+FROM "t" AS "t0" --- op(a, op(b, c));
diff --git a/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/sub-int8/out.sql b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/sub-int8/out.sql
new file mode 100644
index 000000000000..5f0054cd14f8
--- /dev/null
+++ b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/sub-int8/out.sql
@@ -0,0 +1,10 @@
+SELECT
+  (
+    "t0"."a" - "t0"."b"
+  ) - "t0"."c" AS "x"
+FROM "t" AS "t0" --- op(op(a, b), c);
+SELECT
+  "t0"."a" - (
+    "t0"."b" - "t0"."c"
+  ) AS "x"
+FROM "t" AS "t0" --- op(a, op(b, c));
diff --git a/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/sub-interval/out.sql b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/sub-interval/out.sql
new file mode 100644
index 000000000000..5f0054cd14f8
--- /dev/null
+++ b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/sub-interval/out.sql
@@ -0,0 +1,10 @@
+SELECT
+  (
+    "t0"."a" - "t0"."b"
+  ) - "t0"."c" AS "x"
+FROM "t" AS "t0" --- op(op(a, b), c);
+SELECT
+  "t0"."a" - (
+    "t0"."b" - "t0"."c"
+  ) AS "x"
+FROM "t" AS "t0" --- op(a, op(b, c));
diff --git a/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/sub-timeinterval/out.sql b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/sub-timeinterval/out.sql
new file mode 100644
index 000000000000..5f0054cd14f8
--- /dev/null
+++ b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/sub-timeinterval/out.sql
@@ -0,0 +1,10 @@
+SELECT
+  (
+    "t0"."a" - "t0"."b"
+  ) - "t0"."c" AS "x"
+FROM "t" AS "t0" --- op(op(a, b), c);
+SELECT
+  "t0"."a" - (
+    "t0"."b" - "t0"."c"
+  ) AS "x"
+FROM "t" AS "t0" --- op(a, op(b, c));
diff --git a/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/sub-timestampinterval/out.sql b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/sub-timestampinterval/out.sql
new file mode 100644
index 000000000000..5f0054cd14f8
--- /dev/null
+++ b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/sub-timestampinterval/out.sql
@@ -0,0 +1,10 @@
+SELECT
+  (
+    "t0"."a" - "t0"."b"
+  ) - "t0"."c" AS "x"
+FROM "t" AS "t0" --- op(op(a, b), c);
+SELECT
+  "t0"."a" - (
+    "t0"."b" - "t0"."c"
+  ) AS "x"
+FROM "t" AS "t0" --- op(a, op(b, c));
diff --git a/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/truediv-int8/out.sql b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/truediv-int8/out.sql
new file mode 100644
index 000000000000..9ceccb944377
--- /dev/null
+++ b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/truediv-int8/out.sql
@@ -0,0 +1,10 @@
+SELECT
+  (
+    "t0"."a" / "t0"."b"
+  ) / "t0"."c" AS "x"
+FROM "t" AS "t0" --- op(op(a, b), c);
+SELECT
+  "t0"."a" / (
+    "t0"."b" / "t0"."c"
+  ) AS "x"
+FROM "t" AS "t0" --- op(a, op(b, c));
diff --git a/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/xor-bool/out.sql b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/xor-bool/out.sql
new file mode 100644
index 000000000000..3d255e484c3a
--- /dev/null
+++ b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/xor-bool/out.sql
@@ -0,0 +1,10 @@
+SELECT
+  (("t0"."a" AND (NOT "t0"."b")) OR ((NOT "t0"."a") AND "t0"."b") AND (NOT "t0"."c")) OR ((NOT ("t0"."a" AND (NOT "t0"."b")) OR ((NOT "t0"."a") AND "t0"."b")) AND "t0"."c") AS "x"
+FROM "t" AS "t0" --- op(op(a, b), c);
+SELECT
+  ("t0"."a" AND (NOT (
+    ("t0"."b" AND (NOT "t0"."c")) OR ((NOT "t0"."b") AND "t0"."c")
+  ))) OR ((NOT "t0"."a") AND (
+    ("t0"."b" AND (NOT "t0"."c")) OR ((NOT "t0"."b") AND "t0"."c")
+  )) AS "x"
+FROM "t" AS "t0" --- op(a, op(b, c));
diff --git a/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/xor-int8/out.sql b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/xor-int8/out.sql
new file mode 100644
index 000000000000..ae9cd6f62f86
--- /dev/null
+++ b/ibis/backends/tests/sql/snapshots/test_sql/test_binop_parens/xor-int8/out.sql
@@ -0,0 +1,8 @@
+SELECT
+  XOR(XOR("t0"."a", "t0"."b"), "t0"."c") AS "x"
+FROM "t" AS "t0" --- op(op(a, b), c);
+SELECT
+  XOR("t0"."a", (
+    XOR("t0"."b", "t0"."c")
+  )) AS "x"
+FROM "t" AS "t0" --- op(a, op(b, c));
diff --git a/ibis/backends/tests/sql/test_sql.py b/ibis/backends/tests/sql/test_sql.py
index 00aac59d5771..01fd47220982 100644
--- a/ibis/backends/tests/sql/test_sql.py
+++ b/ibis/backends/tests/sql/test_sql.py
@@ -89,6 +89,60 @@ def test_comparisons(functional_alltypes, opname, snapshot):
     snapshot.assert_match(to_sql(expr), "out.sql")
 
 
+@pytest.mark.parametrize(
+    "opname, dtype, associative",
+    [
+        param(*v, id=f"{v[0]}-{v[1]}")
+        for v in [
+            # Numeric
+            ("add", "int8", True),
+            ("mul", "int8", True),
+            ("sub", "int8", False),
+            ("truediv", "int8", False),
+            ("mod", "int8", False),
+            ("pow", "int8", False),
+            ("and_", "int8", True),
+            ("or_", "int8", True),
+            ("xor", "int8", True),
+            ("lshift", "int8", False),
+            ("rshift", "int8", False),
+            # Logical
+            ("and_", "bool", True),
+            ("or_", "bool", True),
+            ("xor", "bool", True),
+            # Date
+            ("add", "date,interval('D')", True),
+            ("sub", "date,interval('D')", False),
+            # Time
+            ("add", "time,interval", True),
+            ("sub", "time,interval", False),
+            # Timestamp
+            ("add", "timestamp,interval", True),
+            ("sub", "timestamp,interval", False),
+            # Interval
+            ("add", "interval", True),
+            ("sub", "interval", False),
+            ("mul", "interval,int8", True),
+        ]
+    ],
+)
+def test_binop_parens(snapshot, opname, dtype, associative):
+    op = getattr(operator, opname)
+    dtypes = [ibis.dtype(d) for d in dtype.split(",")]
+    while len(dtypes) < 3:
+        dtypes.append(dtypes[-1])  # repeat last dtype
+
+    t = ibis.table(dict(zip("abc", dtypes)), name="t")
+
+    expr1 = op(op(t.a, t.b), t.c).name("x")
+    expr2 = op(t.a, op(t.b, t.c)).name("x")
+    sql1 = to_sql(expr1)
+    sql2 = to_sql(expr2)
+    assert sql1 != sql2
+    combined = f"{sql1} --- op(op(a, b), c);\n{sql2} --- op(a, op(b, c));\n"
+    snapshot.assert_match(combined, "out.sql")
+
+
 @pytest.mark.parametrize(
     "expr_fn",
     [