diff --git a/pystencils/nbackend/ast/dispatcher.py b/pystencils/nbackend/ast/dispatcher.py
index a27f41bcf51ef68ccb1ef9c11860f1845e5ae311..e38485cb068c67dd01fb1a5958a9c689eab60b53 100644
--- a/pystencils/nbackend/ast/dispatcher.py
+++ b/pystencils/nbackend/ast/dispatcher.py
@@ -6,6 +6,7 @@ from functools import wraps
 
 from .nodes import PsAstNode
 
+
 class VisitorDispatcher:
     def __init__(self, wrapped_method):
         self._dispatch_dict = {}
@@ -13,7 +14,7 @@ class VisitorDispatcher:
 
     def case(self, node_type: type):
         """Decorator for visitor's methods"""
-        
+
         def decorate(handler: Callable):
             if node_type in self._dispatch_dict:
                 raise ValueError(f"Duplicate visitor case {node_type}")
@@ -37,4 +38,3 @@ class VisitorDispatcher:
 
 def ast_visitor(method):
     return wraps(method)(VisitorDispatcher(method))
-
diff --git a/pystencils/nbackend/ast/transformations.py b/pystencils/nbackend/ast/transformations.py
index 0bf23c0c7d3326bc8eb2041b6117ee760b06e375..41a4d9e27e2157fddee5b48289bc607398c196a7 100644
--- a/pystencils/nbackend/ast/transformations.py
+++ b/pystencils/nbackend/ast/transformations.py
@@ -3,7 +3,7 @@ from abc import ABC
 from typing import Dict
 
 from pymbolic.primitives import Expression
-from pymbolic.mapper.substitutor import CachedSubstitutionMapper, make_subst_func
+from pymbolic.mapper.substitutor import CachedSubstitutionMapper
 
 from ..typed_expressions import PsTypedSymbol
 from .dispatcher import ast_visitor
@@ -23,7 +23,7 @@ class PsAstTransformer(ABC):
 class PsSymbolsSubstitutor(PsAstTransformer):
     def __init__(self, subs_dict: Dict[PsTypedSymbol, Expression]):
         self._subs_dict = subs_dict
-        self._mapper = CachedSubstitutionMapper(lambda s : self._subs_dict.get(s, None))
+        self._mapper = CachedSubstitutionMapper(lambda s: self._subs_dict.get(s, None))
 
     def subs(self, node: PsAstNode):
         return self.visit(node)
@@ -44,7 +44,7 @@ class PsSymbolsSubstitutor(PsAstTransformer):
             raise ValueError(f"Cannot substitute symbol {loop.counter.expression} that is defined as a loop counter.")
         self.transform_children(loop)
         return loop
-    
+
     @visit.case(PsExpression)
     def expression(self, expr_node: PsExpression):
         self._mapper(expr_node.expression)
diff --git a/pystencils/nbackend/typed_expressions.py b/pystencils/nbackend/typed_expressions.py
index 055a0b904f365b7a5c4dc9cec15401a18d13cf42..d418e875dbec0a2587a9df84733134c97ac050c7 100644
--- a/pystencils/nbackend/typed_expressions.py
+++ b/pystencils/nbackend/typed_expressions.py
@@ -6,6 +6,7 @@ import pymbolic.primitives as pb
 
 from ..typing import AbstractType, BasicType
 
+
 class PsTypedSymbol(pb.Variable):
     def __init__(self, name: str, dtype: AbstractType):
         super(PsTypedSymbol, self).__init__(name)
@@ -26,7 +27,7 @@ class PsArrayAccess(pb.Subscript):
         super(PsArrayAccess, self).__init__(base_ptr, index)
 
 
-PsLvalue : TypeAlias = Union[PsTypedSymbol, PsArrayAccess]
+PsLvalue: TypeAlias = Union[PsTypedSymbol, PsArrayAccess]
 
 
 class PsTypedConstant:
@@ -37,36 +38,36 @@ class PsTypedConstant:
             if value._dtype != target_dtype:
                 raise ValueError(f"Incompatible types: {value._dtype} and {target_dtype}")
             return value
-        
+
         # TODO check legality
         return PsTypedConstant(value, target_dtype)
 
     def __init__(self, value, dtype: AbstractType):
         """Represents typed constants occuring in the pystencils AST"""
         if isinstance(dtype, BasicType):
-            dtype = BasicType(dtype, const = True)
+            dtype = BasicType(dtype, const=True)
             self._value = dtype.numpy_dtype.type(value)
         else:
             raise ValueError(f"Cannot create constant of type {dtype}")
-        
+
         self._dtype = dtype
 
     def __str__(self) -> str:
         return str(self._value)
-    
+
     def __add__(self, other: Any):
         other = PsTypedConstant._cast(other, self._dtype)
-        
+
         return PsTypedConstant(self._value + other._value, self._dtype)
 
     def __mul__(self, other: Any):
         other = PsTypedConstant._cast(other, self._dtype)
-        
+
         return PsTypedConstant(self._value * other._value, self._dtype)
-    
+
     def __sub__(self, other: Any):
         other = PsTypedConstant._cast(other, self._dtype)
-        
+
         return PsTypedConstant(self._value - other._value, self._dtype)
 
     # TODO: Remaining operators