diff --git a/blackjax/util.py b/blackjax/util.py
index 8647a983f..072fc641c 100644
--- a/blackjax/util.py
+++ b/blackjax/util.py
@@ -246,8 +246,6 @@ def run_inference_algorithm(
         A transformation of the trace of states to be returned. This is useful for
         computing determinstic variables, or returning a subset of the states.
         By default, the states are returned as is.
-    expectation
-        A function that computes the expectation of the state. This is done incrementally, so doesn't require storing all the states.
     return_state_history
         if False, `run_inference_algorithm` will only return an expectation of the value of transform, and return that average instead of the full set of samples. This is useful when memory is a bottleneck.
 
@@ -306,7 +304,7 @@ def store_only_expectation_values(sampling_algorithm, state_transform= lambda x:
             num_steps = 4
 
             integrator = map_integrator_type_to_integrator['mclmc'][integrator_type]
-            state_transform = lambda x: x.position
+            state_transform = lambda state: x.position
             memory_efficient_sampling_alg, transform = store_only_expectation_values(
                 sampling_algorithm=sampling_alg,
                 state_transform=state_transform)
@@ -332,9 +330,11 @@ def update_fn(rng_key, state_full):
         state, averaging_state = state_full
         state, info = sampling_algorithm.step(rng_key, state) # update the state with the sampling algorithm
         averaging_state = streaming_average_update(state_transform(state), averaging_state) # update the expectation value with the Kalman filter
-        return (state, averaging_state), (averaging_state, info)
-
-    transform= lambda full_state, info: exp_vals_transform(full_state[1][1])
+        return (state, averaging_state), info
+    
+    def transform(full_state, info):
+        exp_vals = full_state[1][1]
+        return exp_vals_transform(exp_vals), info
 
     return SamplingAlgorithm(init_fn, update_fn), transform