diff --git a/calyx-py/calyx/complex_tree_oracle.py b/calyx-py/calyx/complex_tree_oracle.py
new file mode 100644
index 000000000..dc3493e7d
--- /dev/null
+++ b/calyx-py/calyx/complex_tree_oracle.py
@@ -0,0 +1,33 @@
+# For usage, see gen_queue_data_expect.sh
+
+import sys
+import calyx.queues as queues
+from calyx import queue_util
+
+
+if __name__ == "__main__":
+    max_cmds, len = int(sys.argv[1]), int(sys.argv[2])
+    keepgoing = "--keepgoing" in sys.argv
+    commands, values, _, _ = queue_util.parse_json()
+
+    # Our complex PIFO is a tree of queues. It has the shape
+    # rr(strict(A, B, C), rr(D, E, F), strict(G, H)).
+
+    subqueues3 = [queues.Fifo(len) for _ in range(3)]
+    # a second subqueue copy is required, we cannot pass the same subqueue across more than one function call
+    subqueues3s = [queues.Fifo(len) for _ in range(3)] 
+    subqueues2 = [queues.Fifo(len) for _ in range(2)]
+
+    pifo = queues.RRQueue(
+        3,
+        [133, 266, 400],
+        [
+            queues.StrictPifo(3, [44, 88, 133], [0, 1, 2], subqueues3s, len),
+            queues.RRQueue(3, [177, 221, 266], subqueues3, len),
+            queues.StrictPifo(2, [333, 400], [0, 1], subqueues2, len),
+        ],
+        len,
+    )
+
+    ans = queues.operate_queue(pifo, max_cmds, commands, values, keepgoing=keepgoing)
+    queue_util.dump_json(commands, values, ans)
diff --git a/calyx-py/calyx/gen_queue_data_expect.sh b/calyx-py/calyx/gen_queue_data_expect.sh
index 3f1732333..52b6a55f9 100755
--- a/calyx-py/calyx/gen_queue_data_expect.sh
+++ b/calyx-py/calyx/gen_queue_data_expect.sh
@@ -14,7 +14,7 @@ cat ../test/correctness/queues/sdn.data | python3 pifo_tree_oracle.py $num_cmds
 # - pifo_oracle.py
 # - pifo_tree_oracle.py
 
-for queue_kind in fifo pifo pifo_tree; do
+for queue_kind in fifo pifo pifo_tree complex_tree; do
     python3 queue_data_gen.py $num_cmds > ../test/correctness/queues/$queue_kind.data
     [[ "$queue_kind" != "pifo_tree" ]] && cp ../test/correctness/queues/$queue_kind.data ../test/correctness/queues/binheap/$queue_kind.data
     cat ../test/correctness/queues/$queue_kind.data | python3 ${queue_kind}_oracle.py $num_cmds $queue_size --keepgoing > ../test/correctness/queues/$queue_kind.expect
diff --git a/calyx-py/calyx/queues.py b/calyx-py/calyx/queues.py
index 8c6c99bcd..53ca6cbfe 100644
--- a/calyx-py/calyx/queues.py
+++ b/calyx-py/calyx/queues.py
@@ -499,6 +499,8 @@ class RRQueue:
     client can divide the incoming traffic into `n` flows.
     For example, if n = 3 and the client passes boundaries [133, 266, 400],
     packets will be divided into three flows: [0, 133], [134, 266], [267, 400].
+    The argument `subqueues` is a list of subqueues, which can be any type of 
+    queue from this module.
 
     - At push, we check the `boundaries` list to determine which flow to push to.
     Take the boundaries example given earlier, [133, 266, 400].
@@ -507,14 +509,18 @@ class RRQueue:
     - Pop first tries to pop from `hot`. If this succeeds, great. If it fails,
     it increments `hot` and therefore continues to check all other flows
     in round robin fashion.
+    - Peek allows the client to see which element is at the head of the queue
+    without removing it. Thus, peek works in a similar fashion to `pop`, except
+    `hot` is restored to its original value at the every end.
+    Further, nothing is actually dequeued.
     """
 
-    def __init__(self, n, boundaries, max_len: int):
+    def __init__(self, n, boundaries, subqueues, max_len: int):
         self.hot = 0
         self.n = n
         self.pifo_len = 0
         self.boundaries = boundaries
-        self.data = [Fifo(max_len) for _ in range(n)]
+        self.data = subqueues
 
         self.max_len = max_len
         assert (
@@ -525,9 +531,9 @@ def push(self, val: int, *_):
         """Pushes `val` to the PIFO."""
         if self.pifo_len == self.max_len:
             raise QueueError("Cannot push to full PIFO.")
-        for fifo, boundary in zip(self.data, self.boundaries):
+        for subqueue, boundary in zip(self.data, self.boundaries):
             if val <= boundary:
-                fifo.push(val)
+                subqueue.push(val)
                 self.pifo_len += 1
                 break
 
@@ -536,8 +542,8 @@ def increment_hot(self):
         self.hot = 0 if self.hot == (self.n - 1) else self.hot + 1
 
     def pop(self, *_) -> Optional[int]:
-        """Pops the PIFO by popping some internal FIFO.
-        Updates `hot` to be one more than the index of the internal FIFO that
+        """Pops the PIFO by popping some internal subqueue.
+        Updates `hot` to be one more than the index of the internal subqueue that
         we did pop.
         """
         if self.pifo_len == 0:
@@ -578,7 +584,8 @@ class StrictPifo:
     of priority of the flows. For example, if n = 3 and the client passes order
     [1, 2, 0], flow 1 (packets in range [134, 266]) is first priority, flow 2
     (packets in range [267, 400]) is second priority, and flow 0 (packets in range
-    [0, 133]) is last priority.
+    [0, 133]) is last priority. The argument `subqueues` is a list of subqueues,
+    which can be any type of queue from this module.
 
     - At push, we check the `boundaries` list to determine which flow to push to.
     Take the boundaries example given earlier, [133, 266, 400].
@@ -586,15 +593,18 @@ class StrictPifo:
     and 305 would end up in flow 2 since 266 <= 305 <= 400.
     - Pop first tries to pop from `order[0]`. If this succeeds, great. If it fails,
     it tries `order[1]`, etc.
+    - Peek allows the client to see which element is at the head of the queue
+    without removing it. Thus, peek works in a similar fashion to `pop`. Further,
+    nothing is actually dequeued.
     """
 
-    def __init__(self, n, boundaries, order, max_len: int):
+    def __init__(self, n, boundaries, order, subqueues, max_len: int):
         self.order = order
         self.priority = 0
         self.n = n
         self.pifo_len = 0
         self.boundaries = boundaries
-        self.data = [Fifo(max_len) for _ in range(n)]
+        self.data = subqueues
 
         self.max_len = max_len
 
@@ -632,6 +642,23 @@ def pop(self, *_):
             except QueueError:
                 self.next_priority()
 
+    def peek(self, *_) -> Optional[int]:
+        """Peeks into the PIFO."""
+        if self.pifo_len == 0:
+            raise QueueError("Cannot peek into empty PIFO.")
+
+        original_priority = self.priority
+        while True:
+            try:
+                val = self.data[self.priority].peek()
+                if val is not None:
+                    self.priority = original_priority
+                    return val
+                else:
+                    self.next_priority()
+            except QueueError:
+                self.next_priority()
+
     def __len__(self) -> int:
         return self.pifo_len
 
diff --git a/calyx-py/calyx/rr_queue_oracle.py b/calyx-py/calyx/rr_queue_oracle.py
index 2985b5ef6..ab710bbde 100644
--- a/calyx-py/calyx/rr_queue_oracle.py
+++ b/calyx-py/calyx/rr_queue_oracle.py
@@ -25,10 +25,12 @@
         boundaries = [50, 100, 150, 200, 250, 300, 400]
     else:
         raise ValueError("Unsupported number of flows")
+    
+    subqueues = [queues.Fifo(len) for _ in range(numflows)]
 
-    # Our Round Robin Queue orchestrates n FIFOs, in this case provided as
-    # a command line argument. It orchestrates the FIFOs in a round-robin fashion.
-    pifo = queues.RRQueue(numflows, boundaries, len)
+    # Our Round Robin Queue orchestrates n subqueues, in this case provided as
+    # a command line argument. It orchestrates the subqueues in a round-robin fashion.
+    pifo = queues.RRQueue(numflows, boundaries, subqueues, len)
 
     ans = queues.operate_queue(pifo, num_cmds, commands, values, keepgoing=keepgoing)
 
diff --git a/calyx-py/calyx/strict_queue_oracle.py b/calyx-py/calyx/strict_queue_oracle.py
index 61aa4a85e..25dda39af 100644
--- a/calyx-py/calyx/strict_queue_oracle.py
+++ b/calyx-py/calyx/strict_queue_oracle.py
@@ -25,11 +25,13 @@
     else:
         raise ValueError("Unsupported number of flows")
 
-    # Our Strict queue orchestrates n FIFOs. It takes in a list of
-    # boundaries of length n, as well as a list `order` which specifies the ranked 
+    subqueues = [queues.Fifo(len) for _ in range(numflows)]
+
+    # Our Strict queue orchestrates n subqueues. It takes in a list of
+    # boundaries of length n, as well as a list `order` which specifies the ranked
     # order of the flows.
-    pifo = queues.StrictPifo(numflows, boundaries, order, len)
+    pifo = queues.StrictPifo(numflows, boundaries, order, subqueues, len)
 
     ans = queues.operate_queue(pifo, num_cmds, commands, values, keepgoing=keepgoing)
 
-    queue_util.dump_json(commands, values, ans)
\ No newline at end of file
+    queue_util.dump_json(commands, values, ans)
diff --git a/calyx-py/test/correctness/queues/binheap/complex_tree.data b/calyx-py/test/correctness/queues/binheap/complex_tree.data
new file mode 100644
index 000000000..99d10a312
--- /dev/null
+++ b/calyx-py/test/correctness/queues/binheap/complex_tree.data
@@ -0,0 +1,60029 @@
+{
+  "commands": {
+    "data": [
+      1,
+      1,
+      0,
+      1,
+      0,
+      0,
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diff --git a/calyx-py/test/correctness/queues/binheap/complex_tree.expect b/calyx-py/test/correctness/queues/binheap/complex_tree.expect
new file mode 100644
index 000000000..677ed453d
--- /dev/null
+++ b/calyx-py/test/correctness/queues/binheap/complex_tree.expect
@@ -0,0 +1,60008 @@
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diff --git a/calyx-py/test/correctness/queues/complex_tree.data b/calyx-py/test/correctness/queues/complex_tree.data
new file mode 100644
index 000000000..99d10a312
--- /dev/null
+++ b/calyx-py/test/correctness/queues/complex_tree.data
@@ -0,0 +1,60029 @@
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diff --git a/calyx-py/test/correctness/queues/complex_tree.expect b/calyx-py/test/correctness/queues/complex_tree.expect
new file mode 100644
index 000000000..677ed453d
--- /dev/null
+++ b/calyx-py/test/correctness/queues/complex_tree.expect
@@ -0,0 +1,60008 @@
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+    263,
+    106,
+    222,
+    303,
+    60,
+    305,
+    185,
+    107,
+    146,
+    235,
+    282,
+    146,
+    396,
+    342,
+    110,
+    183,
+    312,
+    263,
+    131,
+    397,
+    48,
+    297,
+    324,
+    369,
+    399,
+    207,
+    145,
+    380,
+    42,
+    152,
+    187,
+    308,
+    211,
+    242,
+    277,
+    183,
+    387,
+    221,
+    45,
+    31,
+    170,
+    229,
+    252,
+    317,
+    127,
+    127,
+    305,
+    297,
+    222,
+    187,
+    276,
+    69,
+    118,
+    231,
+    128,
+    155,
+    166,
+    36,
+    136,
+    355,
+    391,
+    208,
+    323,
+    289,
+    385,
+    318,
+    284,
+    98,
+    338,
+    322,
+    313,
+    300,
+    122,
+    155,
+    310,
+    349,
+    62,
+    245,
+    239,
+    77,
+    109,
+    341,
+    331,
+    373,
+    285,
+    19,
+    252,
+    331,
+    339,
+    36,
+    209,
+    173,
+    323,
+    235,
+    242,
+    394,
+    374,
+    133,
+    287,
+    176,
+    278,
+    32,
+    285,
+    203,
+    133,
+    318,
+    390,
+    180,
+    210,
+    354,
+    31,
+    311,
+    61,
+    68,
+    123,
+    296,
+    37,
+    387,
+    36,
+    349,
+    52,
+    1,
+    128,
+    23,
+    233,
+    371,
+    393,
+    230,
+    167,
+    366,
+    138,
+    344,
+    45,
+    278,
+    179,
+    146,
+    88,
+    363,
+    167,
+    152,
+    93,
+    62,
+    61,
+    126,
+    109,
+    244,
+    228,
+    3,
+    297,
+    351,
+    261,
+    40,
+    268,
+    120,
+    128,
+    39,
+    227,
+    253,
+    113,
+    127,
+    117,
+    72,
+    260,
+    374,
+    64,
+    13,
+    174,
+    127,
+    366,
+    109,
+    49,
+    365,
+    64,
+    58,
+    169,
+    259,
+    57,
+    11,
+    223,
+    245,
+    86,
+    209,
+    11,
+    129,
+    353,
+    122,
+    121,
+    298,
+    142,
+    310,
+    186,
+    297,
+    371,
+    200,
+    158,
+    394,
+    355,
+    14,
+    141,
+    351,
+    211,
+    301,
+    211,
+    212,
+    57,
+    264,
+    208,
+    155,
+    391,
+    260,
+    312,
+    322,
+    292,
+    301,
+    298,
+    170,
+    257,
+    352,
+    381,
+    53,
+    320,
+    77,
+    59,
+    303,
+    145,
+    211,
+    281,
+    236,
+    218,
+    113,
+    1,
+    238,
+    306,
+    246,
+    94,
+    330,
+    246,
+    251,
+    6,
+    288,
+    178,
+    237,
+    327,
+    368,
+    353,
+    129,
+    356,
+    247,
+    291,
+    96,
+    112,
+    296,
+    243,
+    201,
+    20,
+    226,
+    140,
+    77,
+    181,
+    372,
+    190,
+    326,
+    253,
+    60,
+    225,
+    245,
+    0,
+    25,
+    113,
+    334,
+    158,
+    387,
+    272,
+    78,
+    256,
+    360,
+    328,
+    113,
+    367,
+    299,
+    117,
+    328,
+    135,
+    185,
+    280,
+    157,
+    3,
+    131,
+    29,
+    395,
+    360,
+    153,
+    117,
+    150,
+    379,
+    177,
+    237,
+    314,
+    194,
+    178,
+    206,
+    340,
+    230,
+    46,
+    77,
+    36,
+    388,
+    114,
+    328,
+    190,
+    168,
+    216,
+    366,
+    115,
+    60,
+    112,
+    11,
+    20,
+    122,
+    212,
+    127,
+    183,
+    320,
+    259,
+    130,
+    118,
+    33,
+    14,
+    177,
+    57,
+    116,
+    53,
+    34,
+    291,
+    91,
+    270,
+    180,
+    61,
+    167,
+    81,
+    71,
+    309,
+    214,
+    308,
+    333,
+    280,
+    71,
+    350,
+    332,
+    170,
+    206,
+    84,
+    220,
+    231,
+    348,
+    58,
+    257,
+    42,
+    215,
+    53,
+    210,
+    344,
+    130,
+    313,
+    390,
+    38,
+    299,
+    40,
+    34,
+    8,
+    312,
+    268,
+    85,
+    238,
+    188,
+    239,
+    278,
+    330,
+    332,
+    358,
+    127,
+    228,
+    106,
+    86,
+    162,
+    48,
+    150,
+    166,
+    220,
+    326,
+    323,
+    304,
+    280,
+    308,
+    268,
+    140,
+    294,
+    55,
+    65,
+    355,
+    48,
+    288,
+    135,
+    138,
+    116,
+    256,
+    360,
+    296,
+    328,
+    30,
+    141,
+    388,
+    163,
+    31,
+    95,
+    209,
+    148,
+    144,
+    105,
+    50,
+    272,
+    79,
+    210,
+    60,
+    59,
+    105,
+    98,
+    215,
+    308,
+    174,
+    313,
+    369,
+    203,
+    235,
+    147,
+    394,
+    282,
+    54,
+    158,
+    342,
+    291,
+    374,
+    38,
+    236,
+    346,
+    125,
+    191,
+    355,
+    187,
+    356,
+    345,
+    279,
+    307,
+    400,
+    187,
+    185,
+    158,
+    120,
+    32,
+    51,
+    216,
+    13,
+    190,
+    89,
+    372,
+    4,
+    146,
+    290,
+    331,
+    190,
+    99,
+    26,
+    16,
+    299,
+    62,
+    276,
+    307,
+    234,
+    300,
+    62,
+    207,
+    268,
+    69,
+    133,
+    100,
+    73,
+    392,
+    308,
+    49,
+    68,
+    91,
+    275,
+    88,
+    328,
+    157,
+    345,
+    308,
+    273,
+    273,
+    66,
+    45,
+    44,
+    48,
+    64,
+    253,
+    210,
+    70,
+    205,
+    253,
+    353,
+    300,
+    79,
+    292,
+    228,
+    155,
+    138,
+    154,
+    36
+  ]
+}
diff --git a/calyx-py/test/correctness/queues/complex_tree.py b/calyx-py/test/correctness/queues/complex_tree.py
new file mode 100644
index 000000000..65b031c5a
--- /dev/null
+++ b/calyx-py/test/correctness/queues/complex_tree.py
@@ -0,0 +1,62 @@
+# pylint: disable=import-error
+import sys
+import fifo
+import calyx.builder as cb
+import calyx.queue_call as qc
+import strict_and_rr_queues.gen_strict_or_rr as strict_or_rr
+
+# This complex tree has the shape rr(strict(A, B, C), rr(D, E, F), strict(G, H))
+
+
+def build():
+    """Top-level function to build the program."""
+    num_cmds = int(sys.argv[1])
+    keepgoing = "--keepgoing" in sys.argv
+    prog = cb.Builder()
+
+    fifo_A = fifo.insert_fifo(prog, "fifo_A")
+    fifo_B = fifo.insert_fifo(prog, "fifo_B")
+    fifo_C = fifo.insert_fifo(prog, "fifo_C")
+    fifo_D = fifo.insert_fifo(prog, "fifo_D")
+    fifo_E = fifo.insert_fifo(prog, "fifo_E")
+    fifo_F = fifo.insert_fifo(prog, "fifo_F")
+    fifo_G = fifo.insert_fifo(prog, "fifo_G")
+    fifo_H = fifo.insert_fifo(prog, "fifo_H")
+
+    pifo_strict1 = strict_or_rr.insert_queue(
+        prog,
+        "pifo_strict1",
+        [fifo_A, fifo_B, fifo_C],
+        [0, 44, 88, 133],
+        3,
+        [0, 1, 2],
+        False,
+    )
+    pifo_rr = strict_or_rr.insert_queue(
+        prog,
+        "pifo_rr",
+        [fifo_D, fifo_E, fifo_F],
+        [133, 177, 221, 266],
+        3,
+        [0, 1, 2],
+        True,
+    )
+    pifo_strict2 = strict_or_rr.insert_queue(
+        prog, "pifo_strict2", [fifo_G, fifo_H], [266, 333, 400], 2, [0, 1], False
+    )
+    pifo_root = strict_or_rr.insert_queue(
+        prog,
+        "pifo_root",
+        [pifo_strict1, pifo_rr, pifo_strict2],
+        [0, 133, 266, 400],
+        3,
+        [],
+        True,
+    )
+
+    qc.insert_main(prog, pifo_root, num_cmds, keepgoing=keepgoing)
+    return prog.program
+
+
+if __name__ == "__main__":
+    build().emit()
diff --git a/calyx-py/test/correctness/queues/pifo_tree.py b/calyx-py/test/correctness/queues/pifo_tree.py
index fc6dadd65..b66a9ca40 100644
--- a/calyx-py/test/correctness/queues/pifo_tree.py
+++ b/calyx-py/test/correctness/queues/pifo_tree.py
@@ -1,9 +1,9 @@
 # pylint: disable=import-error
 import sys
 import fifo
-import pifo
 import calyx.builder as cb
 import calyx.queue_call as qc
+import strict_and_rr_queues.gen_strict_or_rr as strict_or_rr
 
 
 def build():
@@ -13,9 +13,13 @@ def build():
     prog = cb.Builder()
     fifo_purple = fifo.insert_fifo(prog, "fifo_purple")
     fifo_tangerine = fifo.insert_fifo(prog, "fifo_tangerine")
-    pifo_red = pifo.insert_pifo(prog, "pifo_red", fifo_purple, fifo_tangerine, 100)
+    pifo_red = strict_or_rr.insert_queue(
+        prog, "pifo_red", [fifo_purple, fifo_tangerine], [0, 100, 200], 2, [], True
+    )
     fifo_blue = fifo.insert_fifo(prog, "fifo_blue")
-    pifo_root = pifo.insert_pifo(prog, "pifo_root", pifo_red, fifo_blue, 200)
+    pifo_root = strict_or_rr.insert_queue(
+        prog, "pifo_root", [pifo_red, fifo_blue], [0, 200, 400], 2, [], True
+    )
     qc.insert_main(prog, pifo_root, num_cmds, keepgoing=keepgoing)
     return prog.program
 
diff --git a/calyx-py/test/correctness/queues/sdn.py b/calyx-py/test/correctness/queues/sdn.py
index 8251dd5cc..6c0f8825d 100644
--- a/calyx-py/test/correctness/queues/sdn.py
+++ b/calyx-py/test/correctness/queues/sdn.py
@@ -1,7 +1,7 @@
 # pylint: disable=import-error
 import sys
 import fifo
-import pifo
+import strict_and_rr_queues.gen_strict_or_rr as strict_or_rr
 import calyx.builder as cb
 from calyx import queue_call
 
@@ -110,27 +110,15 @@ def build(static=False):
 
     fifo_purple = fifo.insert_fifo(prog, "fifo_purple")
     fifo_tangerine = fifo.insert_fifo(prog, "fifo_tangerine")
-    pifo_red = pifo.insert_pifo(prog, "pifo_red", fifo_purple, fifo_tangerine, 100)
-    fifo_blue = fifo.insert_fifo(prog, "fifo_blue")
-    pifo_root = pifo.insert_pifo(
-        prog,
-        "pifo_root",
-        pifo_red,
-        fifo_blue,
-        200,
-        stats=stats_component,
-        static=static,
+    pifo_red = strict_or_rr.insert_queue(
+        prog, "pifo_red", [fifo_purple, fifo_tangerine], [0, 100, 200], 2, [], True
     )
-    # The root PIFO will take a stats component by reference.
-
-    queue_call.insert_main(
-        prog,
-        pifo_root,
-        num_cmds,
-        keepgoing=keepgoing,
-        controller=controller,
-        stats_component=stats_component,
+    fifo_blue = fifo.insert_fifo(prog, "fifo_blue")
+    pifo_root = strict_or_rr.insert_queue(
+        prog, "pifo_root", [pifo_red, fifo_blue], [0, 200, 400], 2, [], True
     )
+
+    queue_call.insert_main(prog, pifo_root, num_cmds, keepgoing=keepgoing)
     return prog.program
 
 
diff --git a/calyx-py/test/correctness/queues/strict_and_rr_queues/gen_strict_or_rr.py b/calyx-py/test/correctness/queues/strict_and_rr_queues/gen_strict_or_rr.py
index 00757df74..0d2e81f6a 100644
--- a/calyx-py/test/correctness/queues/strict_and_rr_queues/gen_strict_or_rr.py
+++ b/calyx-py/test/correctness/queues/strict_and_rr_queues/gen_strict_or_rr.py
@@ -36,7 +36,7 @@ def invoke_subqueue(queue_cell, cmd, value, ans, err) -> cb.invoke:
 def insert_queue(
     prog,
     name,
-    fifos,
+    subqueues,
     boundaries,
     numflows,
     order,
@@ -58,7 +58,9 @@ def insert_queue(
     # If this is 0, we pop. If it is 1, we push `value` to the queue.
     value = pifo.input("value", 32)  # The value to push to the queue
 
-    fifo_cells = [pifo.cell(f"queue_{i}", fifo_i) for i, fifo_i in enumerate(fifos)]
+    subqueue_cells = [
+        pifo.cell(f"queue_{i}", queue_i) for i, queue_i in enumerate(subqueues)
+    ]
 
     ans = pifo.reg(32, "ans", is_ref=True)
     # If the user wants to pop, we will write the popped value to `ans`.
@@ -73,7 +75,7 @@ def insert_queue(
     og_hot = pifo.reg(32, "og_hot")
     copy_hot = pifo.reg_store(og_hot, hot.out)  # og_hot := hot.out
 
-    max_queue_len = 2**queue_len_factor
+    max_queue_len = 2 ** queue_len_factor
 
     # Some equality checks.
     len_eq_0 = pifo.eq_use(length.out, 0)
@@ -94,7 +96,7 @@ def insert_queue(
     invoke_subqueues_hot_guard = pifo.case(
         hot.out,
         {
-            n: invoke_subqueue(fifo_cells[n], cmd, value, ans, err)
+            n: invoke_subqueue(subqueue_cells[n], cmd, value, ans, err)
             for n in range(numflows)
         },
     )
@@ -107,28 +109,26 @@ def insert_queue(
         cb.if_with(
             pifo.le_use(value, boundaries[b + 1]),  # value <= boundaries[b+1]
             (
-                invoke_subqueue(fifo_cells[b], cmd, value, ans, err)
+                invoke_subqueue(subqueue_cells[b], cmd, value, ans, err)
                 # In the specical case when b = 0,
                 # we don't need to check the lower bound and we can just `invoke`.
                 if b == 0 and round_robin
-                else (
-                    invoke_subqueue(fifo_cells[order.index(b)], cmd, value, ans, err)
-                    if b == 0 and not round_robin
-                    else (
-                        cb.if_with(
-                            pifo.gt_use(value, boundaries[b]),  # value > boundaries[b]
-                            invoke_subqueue(
-                                fifo_cells[order.index(b)], cmd, value, ans, err
-                            ),
-                        )
-                        if not round_robin
-                        # Otherwise, we need to check the lower bound and `invoke`
-                        # only if the value is in the interval.
-                        else cb.if_with(
-                            pifo.gt_use(value, boundaries[b]),  # value > boundaries[b]
-                            invoke_subqueue(fifo_cells[b], cmd, value, ans, err),
-                        )
-                    )
+                else invoke_subqueue(
+                    subqueue_cells[order.index(b)], cmd, value, ans, err
+                )
+                if b == 0 and not round_robin
+                else cb.if_with(
+                    pifo.gt_use(value, boundaries[b]),  # value > boundaries[b]
+                    invoke_subqueue(
+                        subqueue_cells[order.index(b)], cmd, value, ans, err
+                    ),
+                )
+                if not round_robin
+                # Otherwise, we need to check the lower bound and `invoke`
+                # only if the value is in the interval.
+                else cb.if_with(
+                    pifo.gt_use(value, boundaries[b]),  # value > boundaries[b]
+                    invoke_subqueue(subqueue_cells[b], cmd, value, ans, err),
                 )
             ),
         )
@@ -157,7 +157,7 @@ def insert_queue(
                     # Either we are here for the first time,
                     # or we are here because the previous iteration raised an error
                     # and incremented `hot` for us.
-                    # We'll try to pop from `fifo_cells[hot]`.
+                    # We'll try to peek from `subqueue_cells[hot]`.
                     # We'll pass it a lowered `err`.
                     lower_err,
                     invoke_subqueues_hot_guard,
@@ -228,11 +228,12 @@ def build(numflows, roundrobin):
     keepgoing = "--keepgoing" in sys.argv
 
     prog = cb.Builder()
-    sub_fifos = [
-        fifo.insert_fifo(prog, f"fifo{i}", QUEUE_LEN_FACTOR) for i in range(numflows)
+    subqueues = [
+        fifo.insert_fifo(prog, f"subqueue{i}", QUEUE_LEN_FACTOR)
+        for i in range(numflows)
     ]
     pifo = insert_queue(
-        prog, "pifo", sub_fifos, boundaries, numflows, order, roundrobin
+        prog, "pifo", subqueues, boundaries, numflows, order, roundrobin
     )
     qc.insert_main(prog, pifo, num_cmds, keepgoing=keepgoing)
     return prog.program