diff --git a/qualtran/bloqs/arithmetic/permutation_test.py b/qualtran/bloqs/arithmetic/permutation_test.py
index 07e207300..b5d84a16e 100644
--- a/qualtran/bloqs/arithmetic/permutation_test.py
+++ b/qualtran/bloqs/arithmetic/permutation_test.py
@@ -90,9 +90,7 @@ def test_permutation_cycle_unitary_and_call_graph():
     )
 
     cv = sympy.Symbol('cv')
-    _, sigma = bloq.call_graph(
-        generalizer=[ignore_split_join, generalize_cvs], keep=lambda b: isinstance(b, And)
-    )
+    _, sigma = bloq.call_graph(generalizer=[ignore_split_join, generalize_cvs])
     assert sigma == {
         CNOT(): 8,
         And(cv1=cv, cv2=cv): 4,
@@ -106,7 +104,7 @@ def test_permutation_cycle_symbolic_call_graph():
     bloq = _permutation_cycle_symb()
     logN, L = ceil(log2(bloq.N)), slen(bloq.cycle)
 
-    _, sigma = bloq.call_graph(keep=lambda b: isinstance(b, And))
+    _, sigma = bloq.call_graph()
     assert sigma == {
         And(): (L + 1) * (logN - 1),
         And().adjoint(): (L + 1) * (logN - 1),
@@ -133,7 +131,7 @@ def test_permutation_unitary_and_call_graph():
         ),
     )
 
-    _, sigma = bloq.call_graph(generalizer=ignore_split_join, keep=lambda b: isinstance(b, And))
+    _, sigma = bloq.call_graph(generalizer=ignore_split_join)
     assert sigma == {
         CNOT(): 17,
         And(): 56 // 4,
@@ -160,7 +158,7 @@ def test_permutation_symbolic_call_graph():
     logN = ceil(log2(N))
     bloq = _permutation_symb()
 
-    _, sigma = bloq.call_graph(keep=lambda b: isinstance(b, And))
+    _, sigma = bloq.call_graph()
     assert sigma == {
         And().adjoint(): (N + 1) * (logN - 1),
         And(): (N + 1) * (logN - 1),
diff --git a/qualtran/bloqs/chemistry/df/double_factorization.py b/qualtran/bloqs/chemistry/df/double_factorization.py
index 4cc9b47b7..e83b38524 100644
--- a/qualtran/bloqs/chemistry/df/double_factorization.py
+++ b/qualtran/bloqs/chemistry/df/double_factorization.py
@@ -48,9 +48,8 @@
     Soquet,
     SoquetT,
 )
-from qualtran.bloqs.basic_gates import CSwap, Hadamard, Toffoli
+from qualtran.bloqs.basic_gates import CSwap, Hadamard
 from qualtran.bloqs.block_encoding import BlockEncoding
-from qualtran.bloqs.bookkeeping import ArbitraryClifford
 from qualtran.bloqs.chemistry.black_boxes import ApplyControlledZs
 from qualtran.bloqs.chemistry.df.prepare import (
     InnerPrepareDoubleFactorization,
@@ -280,10 +279,10 @@ def build_call_graph(self, ssa: 'SympySymbolAllocator') -> 'BloqCountDictT':
             in_prep_dag: 1,  # in_prep_l^dag
             rot: 1,  # rotate into system basis  listing 4 pg 54
             # apply CCZ first then CCCZ, the cost is 1 + 2 Toffolis (step 4e, and 7)
-            Toffoli(): 1,
+            ApplyControlledZs(cvs=(1, 1), bitsize=5): 1,
             rot_dag: 1,  # Undo rotations
             CSwap(self.num_spin_orb // 2): 2,  # Swaps for spins
-            ArbitraryClifford(n=1): 1,  # 2 Hadamards for spin superposition
+            Hadamard(): 2,  # 2 Hadamards for spin superposition
         }
 
     def __str__(self) -> str:
diff --git a/qualtran/bloqs/chemistry/df/double_factorization_test.py b/qualtran/bloqs/chemistry/df/double_factorization_test.py
index 5dd65346f..41ed8e065 100644
--- a/qualtran/bloqs/chemistry/df/double_factorization_test.py
+++ b/qualtran/bloqs/chemistry/df/double_factorization_test.py
@@ -15,7 +15,7 @@
 from openfermion.resource_estimates.df.compute_cost_df import compute_cost
 from openfermion.resource_estimates.utils import power_two
 
-from qualtran.bloqs.basic_gates import TGate
+import qualtran.testing as qlt_testing
 from qualtran.bloqs.chemistry.df.double_factorization import (
     _df_block_encoding,
     _df_one_body,
@@ -26,7 +26,6 @@
     PrepareUniformSuperposition,
 )
 from qualtran.resource_counting import get_cost_value, QECGatesCost
-from qualtran.testing import execute_notebook
 
 
 def test_df_block_encoding(bloq_autotester):
@@ -51,9 +50,7 @@ def test_compare_cost_one_body_decomp():
         num_bits_rot_aa=7,
         num_bits_rot=num_bits_rot,
     )
-    costs = bloq.call_graph()[1]
-    cbloq_costs = bloq.decompose_bloq().call_graph()[1]
-    assert costs[TGate()] == cbloq_costs[TGate()]
+    qlt_testing.assert_equivalent_bloq_counts(bloq)
 
 
 def test_compare_cost_to_openfermion():
@@ -106,4 +103,4 @@ def test_compare_cost_to_openfermion():
 
 @pytest.mark.notebook
 def test_notebook():
-    execute_notebook("double_factorization")
+    qlt_testing.execute_notebook("double_factorization")
diff --git a/qualtran/bloqs/chemistry/sf/single_factorization_test.py b/qualtran/bloqs/chemistry/sf/single_factorization_test.py
index e3e351ee8..1c35e9d97 100644
--- a/qualtran/bloqs/chemistry/sf/single_factorization_test.py
+++ b/qualtran/bloqs/chemistry/sf/single_factorization_test.py
@@ -15,7 +15,7 @@
 from openfermion.resource_estimates.sf.compute_cost_sf import compute_cost
 from openfermion.resource_estimates.utils import power_two, QI, QI2, QR2
 
-from qualtran.bloqs.basic_gates import TGate
+import qualtran.testing as qlt_testing
 from qualtran.bloqs.chemistry.sf.single_factorization import (
     _sf_block_encoding,
     _sf_one_body,
@@ -26,7 +26,6 @@
     PrepareUniformSuperposition,
 )
 from qualtran.resource_counting import get_cost_value, QECGatesCost
-from qualtran.testing import execute_notebook
 
 
 def test_sf_block_encoding(bloq_autotester):
@@ -48,9 +47,7 @@ def test_compare_cost_one_body_decomp():
         num_bits_state_prep=num_bits_state_prep,
         num_bits_rot_aa=num_bits_rot_aa,
     )
-    costs = bloq.call_graph()[1]
-    cbloq_costs = bloq.decompose_bloq().call_graph()[1]
-    assert costs[TGate()] == cbloq_costs[TGate()]
+    qlt_testing.assert_equivalent_bloq_counts(bloq)
 
 
 def test_compare_cost_to_openfermion():
@@ -126,4 +123,4 @@ def test_compare_cost_to_openfermion():
 
 @pytest.mark.notebook
 def test_notebook():
-    execute_notebook("single_factorization")
+    qlt_testing.execute_notebook("single_factorization")
diff --git a/qualtran/bloqs/hamiltonian_simulation/hamiltonian_simulation_by_gqsp_test.py b/qualtran/bloqs/hamiltonian_simulation/hamiltonian_simulation_by_gqsp_test.py
index 5d0e68be1..f587c8726 100644
--- a/qualtran/bloqs/hamiltonian_simulation/hamiltonian_simulation_by_gqsp_test.py
+++ b/qualtran/bloqs/hamiltonian_simulation/hamiltonian_simulation_by_gqsp_test.py
@@ -19,7 +19,6 @@
 import sympy
 from numpy.typing import NDArray
 
-from qualtran.bloqs.basic_gates import TGate, TwoBitCSwap
 from qualtran.bloqs.for_testing.matrix_gate import MatrixGate
 from qualtran.bloqs.for_testing.random_select_and_prepare import random_qubitization_walk_operator
 from qualtran.bloqs.hamiltonian_simulation.hamiltonian_simulation_by_gqsp import (
@@ -34,7 +33,7 @@
 )
 from qualtran.bloqs.qubitization.qubitization_walk_operator import QubitizationWalkOperator
 from qualtran.cirq_interop import BloqAsCirqGate
-from qualtran.resource_counting import big_O, BloqCount, get_cost_value, QECGatesCost, QubitCount
+from qualtran.resource_counting import big_O, get_cost_value, QECGatesCost, QubitCount
 from qualtran.symbolics import Shaped
 
 
@@ -109,8 +108,10 @@ def test_hamiltonian_simulation_by_gqsp_t_complexity():
     hubbard_time_evolution_by_gqsp = _hubbard_time_evolution_by_gqsp.make()
     t_comp = hubbard_time_evolution_by_gqsp.t_complexity()
 
-    counts = get_cost_value(hubbard_time_evolution_by_gqsp, BloqCount.for_gateset('t+tof+cswap'))
-    assert t_comp.t == counts[TwoBitCSwap()] * 7 + counts[TGate()]
+    counts = get_cost_value(hubbard_time_evolution_by_gqsp, QECGatesCost())
+    t_comp_from_qec = counts.to_legacy_t_complexity()
+    assert t_comp.t == t_comp_from_qec.t
+    assert t_comp.rotations == t_comp_from_qec.rotations
 
 
 def test_symbolic_t_cost():
diff --git a/qualtran/bloqs/mcmt/and_bloq.py b/qualtran/bloqs/mcmt/and_bloq.py
index e1da7fff5..486bb3e49 100644
--- a/qualtran/bloqs/mcmt/and_bloq.py
+++ b/qualtran/bloqs/mcmt/and_bloq.py
@@ -45,32 +45,17 @@
     Side,
     Signature,
 )
-from qualtran.bloqs.basic_gates import TGate, XGate
-from qualtran.bloqs.bookkeeping import ArbitraryClifford
+from qualtran.bloqs.basic_gates import XGate
 from qualtran.cirq_interop import decompose_from_cirq_style_method
 from qualtran.drawing import Circle, directional_text_box, Text, WireSymbol
-from qualtran.resource_counting import (
-    big_O,
-    BloqCountDictT,
-    MutableBloqCountDictT,
-    SympySymbolAllocator,
-)
-from qualtran.resource_counting.generalizers import (
-    cirq_to_bloqs,
-    generalize_cvs,
-    generalize_rotation_angle,
-    ignore_alloc_free,
-    ignore_cliffords,
-)
+from qualtran.resource_counting import BloqCountDictT, MutableBloqCountDictT, SympySymbolAllocator
+from qualtran.resource_counting.generalizers import generalize_cvs, ignore_cliffords
 from qualtran.simulation.classical_sim import ClassicalValT
 from qualtran.symbolics import HasLength, is_symbolic, SymbolicInt
 
 if TYPE_CHECKING:
     import quimb.tensor as qtn
 
-# TODO: https://github.com/quantumlib/Qualtran/issues/1346
-FLAG_AND_AS_LEAF = False
-
 
 @frozen
 class And(GateWithRegisters):
@@ -108,22 +93,7 @@ def adjoint(self) -> 'And':
         return attrs.evolve(self, uncompute=not self.uncompute)
 
     def decompose_bloq(self) -> 'CompositeBloq':
-        if FLAG_AND_AS_LEAF:
-            raise DecomposeTypeError(f"{self} is atomic.")
-        return decompose_from_cirq_style_method(self)
-
-    def build_call_graph(self, ssa: 'SympySymbolAllocator') -> 'BloqCountDictT':
-        if FLAG_AND_AS_LEAF:
-            raise DecomposeTypeError(f"{self} is atomic.")
-
-        if isinstance(self.cv1, sympy.Expr) or isinstance(self.cv2, sympy.Expr):
-            pre_post_cliffords: Union[sympy.Order, int] = big_O(1)
-        else:
-            pre_post_cliffords = 2 - self.cv1 - self.cv2
-        if self.uncompute:
-            return {ArbitraryClifford(n=2): 4 + 2 * pre_post_cliffords}
-
-        return {ArbitraryClifford(n=2): 9 + 2 * pre_post_cliffords, TGate(): 4}
+        raise DecomposeTypeError(f"{self} is atomic.")
 
     def on_classical_vals(
         self, *, ctrl: NDArray[np.uint8], target: Optional[int] = None
@@ -243,13 +213,6 @@ def to_clifford_t_circuit(self) -> 'cirq.FrozenCircuit':
         circuit += pre_post_ops
         return circuit.freeze()
 
-    def __pow__(self, power: int) -> 'And':
-        if power == 1:
-            return self
-        if power == -1:
-            return self.adjoint()
-        return NotImplemented  # pragma: no cover
-
     def _circuit_diagram_info_(self, args: cirq.CircuitDiagramInfoArgs) -> cirq.CircuitDiagramInfo:
         controls = ["(0)", "@"]
         target = "And†" if self.uncompute else "And"
@@ -263,9 +226,7 @@ def _has_unitary_(self) -> bool:
         return not self.uncompute
 
 
-@bloq_example(
-    generalizer=[cirq_to_bloqs, ignore_cliffords, ignore_alloc_free, generalize_rotation_angle]
-)
+@bloq_example()
 def _and_bloq() -> And:
     and_bloq = And()
     return and_bloq
diff --git a/qualtran/bloqs/mcmt/specialized_ctrl_test.py b/qualtran/bloqs/mcmt/specialized_ctrl_test.py
index c42e95da7..3c1ae249e 100644
--- a/qualtran/bloqs/mcmt/specialized_ctrl_test.py
+++ b/qualtran/bloqs/mcmt/specialized_ctrl_test.py
@@ -40,11 +40,6 @@
 from qualtran.resource_counting import CostKey, GateCounts, get_cost_value, QECGatesCost
 
 
-def _keep_and(b):
-    # TODO remove this after https://github.com/quantumlib/Qualtran/issues/1346 is resolved.
-    return isinstance(b, And)
-
-
 @attrs.frozen
 class AtomWithSpecializedControl(Bloq):
     cv: Optional[int] = None
@@ -169,30 +164,25 @@ def test_bloq_with_controlled_bloq():
     assert TestAtom('g').controlled() == CTestAtom('g')
 
     ctrl_bloq = CTestAtom('g').controlled()
-    _, sigma = ctrl_bloq.call_graph(keep=_keep_and)
+    _, sigma = ctrl_bloq.call_graph()
     assert sigma == {And(): 1, CTestAtom('g'): 1, And().adjoint(): 1}
 
     ctrl_bloq = CTestAtom('n').controlled(CtrlSpec(cvs=0))
-    _, sigma = ctrl_bloq.call_graph(keep=_keep_and)
+    _, sigma = ctrl_bloq.call_graph()
     assert sigma == {And(0, 1): 1, CTestAtom('n'): 1, And(0, 1).adjoint(): 1}
 
     ctrl_bloq = TestAtom('nn').controlled(CtrlSpec(cvs=[0, 0]))
-    _, sigma = ctrl_bloq.call_graph(keep=_keep_and)
+    _, sigma = ctrl_bloq.call_graph()
     assert sigma == {And(0, 0): 1, CTestAtom('nn'): 1, And(0, 0).adjoint(): 1}
 
 
 def test_ctrl_adjoint():
     assert TestAtom('a').adjoint().controlled() == CTestAtom('a').adjoint()
 
-    _, sigma = (
-        TestAtom('g')
-        .adjoint()
-        .controlled(ctrl_spec=CtrlSpec(cvs=[1, 1]))
-        .call_graph(keep=_keep_and)
-    )
+    _, sigma = TestAtom('g').adjoint().controlled(ctrl_spec=CtrlSpec(cvs=[1, 1])).call_graph()
     assert sigma == {And(): 1, And().adjoint(): 1, CTestAtom('g').adjoint(): 1}
 
-    _, sigma = CTestAtom('c').adjoint().controlled().call_graph(keep=_keep_and)
+    _, sigma = CTestAtom('c').adjoint().controlled().call_graph()
     assert sigma == {And(): 1, And().adjoint(): 1, CTestAtom('c').adjoint(): 1}
 
     for cv in [0, 1]:
diff --git a/qualtran/bloqs/multiplexers/apply_lth_bloq_test.py b/qualtran/bloqs/multiplexers/apply_lth_bloq_test.py
index 3f4733218..b98e5bcdf 100644
--- a/qualtran/bloqs/multiplexers/apply_lth_bloq_test.py
+++ b/qualtran/bloqs/multiplexers/apply_lth_bloq_test.py
@@ -17,7 +17,7 @@
 import numpy as np
 import pytest
 
-from qualtran import BloqBuilder, BQUInt, Controlled, CtrlSpec, QBit, Register, Signature, Soquet
+from qualtran import BloqBuilder, BQUInt, QBit, Register, Signature, Soquet
 from qualtran.bloqs.basic_gates import (
     CHadamard,
     CNOT,
@@ -34,7 +34,7 @@
     ZeroState,
     ZGate,
 )
-from qualtran.bloqs.bookkeeping.arbitrary_clifford import ArbitraryClifford
+from qualtran.bloqs.mcmt import And
 from qualtran.bloqs.multiplexers.apply_lth_bloq import _apply_lth_bloq, ApplyLthBloq
 from qualtran.resource_counting.generalizers import ignore_split_join
 from qualtran.testing import assert_valid_bloq_decomposition
@@ -64,11 +64,11 @@ def test_call_graph():
     _, sigma = _apply_lth_bloq().call_graph(generalizer=ignore_split_join)
     assert sigma == {
         CHadamard(): 1,
-        Controlled(TGate(), CtrlSpec()): 1,
+        TGate().controlled(): 1,
         CZ(): 1,
         CNOT(): 4,
-        TGate(): 12,
-        ArbitraryClifford(2): 45,
+        And(1, 0): 3,
+        And().adjoint(): 3,
     }
 
 
diff --git a/qualtran/drawing/bloq_counts_graph_test.py b/qualtran/drawing/bloq_counts_graph_test.py
index 29f9ad98c..8f9d8a24d 100644
--- a/qualtran/drawing/bloq_counts_graph_test.py
+++ b/qualtran/drawing/bloq_counts_graph_test.py
@@ -30,8 +30,7 @@ def test_format_counts_sigma():
         ret
         == """\
 #### Counts totals:
- - `ArbitraryClifford(n=2)`: 45
- - `T`: 20"""
+ - `And`: 5"""
     )
 
 
@@ -43,9 +42,6 @@ def test_format_counts_graph_markdown():
         == """\
  - `MultiAnd(n=6)`
    - `And`: $\\displaystyle 5$
- - `And`
-   - `ArbitraryClifford(n=2)`: $\\displaystyle 9$
-   - `T`: $\\displaystyle 4$
 """
     )
 
diff --git a/qualtran/resource_counting/t_counts_from_sigma.py b/qualtran/resource_counting/t_counts_from_sigma.py
index 02c6673c6..eb4578e36 100644
--- a/qualtran/resource_counting/t_counts_from_sigma.py
+++ b/qualtran/resource_counting/t_counts_from_sigma.py
@@ -25,6 +25,7 @@ def t_counts_from_sigma(sigma: Mapping['Bloq', SymbolicInt]) -> SymbolicInt:
     import cirq
 
     from qualtran.bloqs.basic_gates import TGate, Toffoli, TwoBitCSwap
+    from qualtran.bloqs.mcmt import And
     from qualtran.cirq_interop.t_complexity_protocol import TComplexity
     from qualtran.resource_counting.classify_bloqs import bloq_is_rotation
 
@@ -32,6 +33,9 @@ def t_counts_from_sigma(sigma: Mapping['Bloq', SymbolicInt]) -> SymbolicInt:
     ret += sigma.get(Toffoli(), 0) * 4
     ret += sigma.get(TwoBitCSwap(), 0) * 7
     for bloq, counts in sigma.items():
+        if isinstance(bloq, And) and not bloq.uncompute:
+            ret += counts * 4
+
         if bloq_is_rotation(bloq) and not cirq.has_stabilizer_effect(bloq):
             if isinstance(bloq, Controlled):
                 # TODO native controlled rotation bloqs missing (CRz, CRy etc.)