diff --git a/documentation/source/general/changelog/changelog-dev.rst b/documentation/source/general/changelog/changelog-dev.rst
index 6e46bae1a..08c8e70f4 100644
--- a/documentation/source/general/changelog/changelog-dev.rst
+++ b/documentation/source/general/changelog/changelog-dev.rst
@@ -33,6 +33,11 @@ New Tutorials/ Updated Documentation
 
 .. Add new tutorials above this line
 
+
+* Replaced usage of ``sbp_mult`` with the ``*`` operator in the
+  ``QuantumSession.compile`` and ``IterationEnvironment`` docstrings
+  (`PR #733 <https://github.com/eclipse-qrisp/Qrisp/pull/733>`_).
+
 API Changes
 -----------
 
diff --git a/src/qrisp/core/quantum_session.py b/src/qrisp/core/quantum_session.py
index 2a7eec7b3..2bd5b2900 100644
--- a/src/qrisp/core/quantum_session.py
+++ b/src/qrisp/core/quantum_session.py
@@ -816,11 +816,10 @@ def compile(
 
         **Workspace**
 
-        We calculate a product of 2 :ref:`QuantumFloats <QuantumFloat>` using the
-        :meth:`sbp_mult <qrisp.sbp_mult>` function which heavily profits from more
-        workspace.
+        We calculate a product of 2 :ref:`QuantumFloats <QuantumFloat>` which heavily
+        profits from more workspace.
 
-        >>> from qrisp import QuantumFloat, sbp_mult
+        >>> from qrisp import QuantumFloat
         >>> qf_0 = QuantumFloat(5)
         >>> qf_0[:] = 3
         >>> qf_1 = QuantumFloat(5)
@@ -828,9 +827,9 @@ def compile(
 
         Calculate product:
 
-        >>> qf_res = sbp_mult(qf_0, qf_1)
+        >>> qf_res = qf_0 * qf_1
         >>> qf_res.qs.num_qubits()
-        45
+        21
 
         Compile circuit with no workspace
 
@@ -838,7 +837,7 @@ def compile(
         >>> qc_0.num_qubits()
         21
         >>> qc_0.depth()
-        497
+        205
 
         Compile circuit with 4 workspace qubits
 
@@ -846,7 +845,7 @@ def compile(
         >>> qc_1.num_qubits()
         25
         >>> qc_1.depth()
-        258
+        205
 
         **mcx recompilation**
 
diff --git a/src/qrisp/environments/iteration_environment.py b/src/qrisp/environments/iteration_environment.py
index 36bf0573a..eb5213baf 100644
--- a/src/qrisp/environments/iteration_environment.py
+++ b/src/qrisp/environments/iteration_environment.py
@@ -71,7 +71,7 @@ class IterationEnvironment(QuantumEnvironment):
 
     **Precompilation**
 
-    Squaring a :ref:`QuantumFloat` uses the :meth:`qrisp.sbp_mult` function,
+    Squaring a :ref:`QuantumFloat` uses a multiplication algorithm
     which has a high demand of ancilla qubits.
     Therefore many iterations can quickly overload the allocation algorithm.