diff --git a/fides/minimize.py b/fides/minimize.py
index cd52b4b..29f3c88 100644
--- a/fides/minimize.py
+++ b/fides/minimize.py
@@ -712,7 +712,15 @@ def update_tr_radius(
             else:
                 self.tr_ratio = actual_decrease / predicted_decrease
 
-            interior_solution = nsx < self.delta_iter * 0.9
+            # the radius is only increased if the trust region constraint
+            # was active. For steps that were stepped back to stay within
+            # the bounds (step.alpha < 1), this is decided based on the
+            # proposal before step back. The stepped back step is short
+            # because of the bounds, not the trust region, e.g., a single
+            # reflection that is cut short by the next bound.
+            interior_solution = (
+                norm(step.og_ss + step.ss0) < self.delta_iter * 0.9
+            )
 
             if (
                 self.tr_ratio >= self.get_option(Options.ETA)
diff --git a/tests/test_minimize.py b/tests/test_minimize.py
index 5868412..683e011 100644
--- a/tests/test_minimize.py
+++ b/tests/test_minimize.py
@@ -1537,3 +1537,38 @@ def test_reflected_step_roundoff_stays_in_bounds(subspace_dim):
     assert np.all(x <= ub)
     assert opt.exitflag > 0
     assert np.isclose(fval, 10.913558700882975, rtol=1e-6)
+
+
+@pytest.mark.parametrize('stepback', list(StepBackStrategy))
+@pytest.mark.parametrize('subspace_dim', [SubSpaceDim.TWO, SubSpaceDim.FULL])
+def test_several_active_bounds(subspace_dim, stepback):
+    """
+    gh-78: with reflect_single, the reflected segment is cut short by the
+    second active bound. The step is then shorter than the radius, the
+    radius was never increased and the run crawled to MAXITER.
+    """
+    hess = np.diag([2.0, 1.0, 1.5, 1.2])
+    c = np.array([-1000.0, 1000.0, -1000.0, 1000.0])
+
+    def fun(x):
+        d = x - c
+        g = hess @ d
+        return 0.5 * d @ g, g, hess
+
+    opt = Optimizer(
+        fun,
+        ub=np.full(4, np.inf),
+        lb=np.array([-1.0, -np.inf, -1.0, -np.inf]),
+        verbose=logging.WARNING,
+        options={
+            Options.MAXITER: 100,
+            Options.SUBSPACE_DIM: subspace_dim,
+            Options.STEPBACK_STRAT: stepback,
+        },
+    )
+    fval, x, _, _ = opt.minimize(np.array([-1.0, 0.0, -1.0, 0.0]))
+    # full/refine stops with DELTA_TOO_SMALL at the optimum, as
+    # the predicted decrease there is below the resolution of fval
+    assert opt.exitflag != fides.ExitFlag.MAXITER
+    assert np.isclose(fval, 1746501.75, rtol=1e-8)
+    assert np.allclose(x, [-1.0, 1000.0, -1.0, 1000.0], rtol=1e-5)