def test_gate_simp():
"""Test gate_simp."""
e = H(0)*X(1)*H(0)**2*CNOT(0, 1)*X(1)**3*X(0)*Z(3)**2*S(4)**3
assert gate_simp(e) == H(0)*CNOT(0, 1)*S(4)*X(0)*Z(4)
assert gate_simp(X(0)*X(0)) == 1
assert gate_simp(Y(0)*Y(0)) == 1
assert gate_simp(Z(0)*Z(0)) == 1
assert gate_simp(H(0)*H(0)) == 1
assert gate_simp(T(0)*T(0)) == S(0)
assert gate_simp(S(0)*S(0)) == Z(0)
assert gate_simp(Integer(1)) == Integer(1)
assert gate_simp(X(0)**2 + Y(0)**2) == Integer(2)
def test_gate_simp():
"""Test gate_simp."""
e = H(0) * X(1) * H(0)**2 * CNOT(0, 1) * X(1)**3 * X(0) * Z(3)**2 * S(4)**3
assert gate_simp(e) == H(0) * CNOT(0, 1) * S(4) * X(0) * Z(4)
assert gate_simp(X(0) * X(0)) == 1
assert gate_simp(Y(0) * Y(0)) == 1
assert gate_simp(Z(0) * Z(0)) == 1
assert gate_simp(H(0) * H(0)) == 1
assert gate_simp(T(0) * T(0)) == S(0)
assert gate_simp(S(0) * S(0)) == Z(0)
assert gate_simp(Integer(1)) == Integer(1)
assert gate_simp(X(0)**2 + Y(0)**2) == Integer(2)