diff --git a/docs/changelog.md b/docs/changelog.md
index 3f87f9d6..e9df0adf 100644
--- a/docs/changelog.md
+++ b/docs/changelog.md
@@ -4,6 +4,7 @@ _This project uses semantic versioning_
 
 ## UNRELEASED
 
+- Change conversion between binary operators to consider converting both types [#320](https://github.com/egraphs-good/egglog-python/pull/320)
 - Add ability to parse egglog expressions into Python values [#319](https://github.com/egraphs-good/egglog-python/pull/319)
   - Deprecates `.eval()` method on primitives in favor of `.value` which can be used with pattern matching.
 - Support methods like on expressions [#315](https://github.com/egraphs-good/egglog-python/pull/315)
diff --git a/docs/reference/python-integration.md b/docs/reference/python-integration.md
index c2bf4d98..0bb4afeb 100644
--- a/docs/reference/python-integration.md
+++ b/docs/reference/python-integration.md
@@ -379,13 +379,13 @@ instead of the normal mechanism which relies on `__getattr__`, you can call `egg
 with the name of a method. This is only needed for third party code that inspects the type object itself to see if a
 method is defined instead of just attempting to call it.
 
-### Reflected methods
+### Binary Method Conversions
 
-Note that reflected methods (i.e. `__radd__`) are handled as a special case. If defined, they won't create their own egglog functions.
+For [rich comparison methods](https://docs.python.org/3/reference/datamodel.html#object.__lt__) (like `__lt__`, `__le__`, `__eq__`, etc.) and [binary numeric methods](https://docs.python.org/3/reference/datamodel.html#object.__add__) (like `__add__`, `__sub__`, etc.), some more advanced conversion logic is needed to ensure they are converted properly. We add the `__r<name>__` methods for all expressions so that we can handle either position they are placed in.
 
-Instead, whenever a reflected method is called, we will try to find the corresponding non-reflected method and call that instead.
-
-Also, if a normal method fails because the arguments cannot be converted to the right types, the reflected version of the second arg will be tried.
+If we have two values `lhs` and `rhs`, we will try to find the minimum cost conversion for both of them, and then call the method on the converted values.
+If both are expression instances, we will convert at most one of them. However, if one is an expression and the other
+is a different Python value (like an `int`), we will consider all possible conversions of both arguments to find the minimum.
 
 ```{code-cell} python
 class Int(Expr):
@@ -423,11 +423,6 @@ converter(Int, Float, Float.from_int)
 assert str(-1.0 + Int.var("x")) == "Float(-1.0) + Float.from_int(Int.var(\"x\"))"
 ```
 
-For methods which allow returning `NotImplemented`, i.e. the comparison + binary math methods, we will also try upcasting both
-types to the type which is lowest cost to convert both to.
-
-For example, if you have `Float` and `Int` wrapper types and you have write the expr `-1.0 + Int.var("x")` you might want the result to be `Float(-1.0) + Float.from_int(Int.var("x"))`:
-
 ### Mutating arguments
 
 In order to support Python functions and methods which mutate their arguments, you can pass in the `mutate_first_arg` keyword argument to the `@function` decorator and the `mutates_self` argument to the `@method` decorator. This will cause the first argument to be mutated in place, instead of being copied.
diff --git a/python/egglog/conversion.py b/python/egglog/conversion.py
index 4b2fc0d1..7d31c0c5 100644
--- a/python/egglog/conversion.py
+++ b/python/egglog/conversion.py
@@ -143,41 +143,53 @@ def process_tp(tp: type | RuntimeClass) -> JustTypeRef | type:
     return tp
 
 
-# def min_convertable_tp(a: object, b: object, name: str) -> JustTypeRef:
-#     """
-#     Returns the minimum convertable type between a and b, that has a method `name`, raising a ConvertError if no such type exists.
-#     """
-#     decls = _retrieve_conversion_decls().copy()
-#     if isinstance(a, RuntimeExpr):
-#         decls |= a
-#     if isinstance(b, RuntimeExpr):
-#         decls |= b
-
-#     a_tp = _get_tp(a)
-#     b_tp = _get_tp(b)
-#     # Make sure at least one of the types has the method, to avoid issue with == upcasting improperly
-#     if not (
-#         (isinstance(a_tp, JustTypeRef) and decls.has_method(a_tp.name, name))
-#         or (isinstance(b_tp, JustTypeRef) and decls.has_method(b_tp.name, name))
-#     ):
-#         raise ConvertError(f"Neither {a_tp} nor {b_tp} has method {name}")
-#     a_converts_to = {
-#         to: c for ((from_, to), (c, _)) in CONVERSIONS.items() if from_ == a_tp and decls.has_method(to.name, name)
-#     }
-#     b_converts_to = {
-#         to: c for ((from_, to), (c, _)) in CONVERSIONS.items() if from_ == b_tp and decls.has_method(to.name, name)
-#     }
-#     if isinstance(a_tp, JustTypeRef) and decls.has_method(a_tp.name, name):
-#         a_converts_to[a_tp] = 0
-#     if isinstance(b_tp, JustTypeRef) and decls.has_method(b_tp.name, name):
-#         b_converts_to[b_tp] = 0
-#     common = set(a_converts_to) & set(b_converts_to)
-#     if not common:
-#         raise ConvertError(f"Cannot convert {a_tp} and {b_tp} to a common type")
-#     return min(common, key=lambda tp: a_converts_to[tp] + b_converts_to[tp])
-
-
-def identity(x: object) -> object:
+def min_binary_conversion(
+    method_name: str, lhs: type | JustTypeRef, rhs: type | JustTypeRef
+) -> tuple[Callable[[Any], RuntimeExpr], Callable[[Any], RuntimeExpr]] | None:
+    """
+    Given a binary method and two starting types for the LHS and RHS, return a pair of callable which will convert
+    the LHS and RHS to appropriate types which support this method. If no such conversion is possible, return None.
+
+    It should return the types which minimize the total conversion cost. If one of the types is a Python type, then
+    both of them can be converted. However, if both are egglog types, then only one of them can be converted.
+    """
+    decls = retrieve_conversion_decls()
+    # tuple of (cost, convert lhs, convert rhs)
+    best_method: tuple[int, Callable[[Any], RuntimeExpr], Callable[[Any], RuntimeExpr]] | None = None
+
+    possible_lhs = _all_conversions_from(lhs) if isinstance(lhs, type) else [(0, lhs, identity)]
+    possible_rhs = _all_conversions_from(rhs) if isinstance(rhs, type) else [(0, rhs, identity)]
+    for lhs_cost, lhs_converted_type, lhs_convert in possible_lhs:
+        # Start by checking if we have a LHS that matches exactly and a RHS which can be converted
+        if (desired_other_type := decls.check_binary_method_with_self_type(method_name, lhs_converted_type)) and (
+            converter := CONVERSIONS.get((rhs, desired_other_type))
+        ):
+            cost = lhs_cost + converter[0]
+            if best_method is None or best_method[0] > cost:
+                best_method = (cost, lhs_convert, converter[1])
+
+    for rhs_cost, rhs_converted_type, rhs_convert in possible_rhs:
+        # Next see if it's possible to convert the LHS and keep the RHS as is
+        for desired_self_type in decls.check_binary_method_with_other_type(method_name, rhs_converted_type):
+            if converter := CONVERSIONS.get((lhs, desired_self_type)):
+                cost = rhs_cost + converter[0]
+                if best_method is None or best_method[0] > cost:
+                    best_method = (cost, converter[1], rhs_convert)
+    if best_method is None:
+        return None
+    return best_method[1], best_method[2]
+
+
+def _all_conversions_from(tp: JustTypeRef | type) -> list[tuple[int, JustTypeRef, Callable[[Any], RuntimeExpr]]]:
+    """
+    Get all conversions from a type to other types.
+
+    Returns a list of tuples of (cost, target type, conversion function).
+    """
+    return [(cost, target, fn) for (source, target), (cost, fn) in CONVERSIONS.items() if source == tp]
+
+
+def identity(x: Any) -> Any:
     return x
 
 
diff --git a/python/egglog/declarations.py b/python/egglog/declarations.py
index b1c1368f..81049126 100644
--- a/python/egglog/declarations.py
+++ b/python/egglog/declarations.py
@@ -244,7 +244,10 @@ def check_binary_method_with_self_type(self, method_name: str, self_type: JustTy
         Checks if the class has a binary method with the given name and self type. Returns the other type if it exists.
         """
         vars: dict[ClassTypeVarRef, JustTypeRef] = {}
-        if callable_decl := self._classes[self_type.name].methods.get(method_name):
+        class_decl = self._classes.get(self_type.name)
+        if class_decl is None:
+            return None
+        if callable_decl := class_decl.methods.get(method_name):
             match callable_decl.signature:
                 case FunctionSignature((self_arg_type, other_arg_type)) if self_arg_type.matches_just(vars, self_type):
                     return other_arg_type.to_just(vars)
diff --git a/python/egglog/egraph.py b/python/egglog/egraph.py
index 3f9a3db9..25a4505b 100644
--- a/python/egglog/egraph.py
+++ b/python/egglog/egraph.py
@@ -110,7 +110,6 @@
     "__weakref__",
     "__orig_bases__",
     "__annotations__",
-    "__hash__",
     "__qualname__",
     "__firstlineno__",
     "__static_attributes__",
diff --git a/python/egglog/exp/array_api.py b/python/egglog/exp/array_api.py
index 3e791835..f3944ad1 100644
--- a/python/egglog/exp/array_api.py
+++ b/python/egglog/exp/array_api.py
@@ -154,6 +154,18 @@ def __le__(self, other: IntLike) -> Boolean: ...
     def __eq__(self, other: IntLike) -> Boolean:  # type: ignore[override]
         ...
 
+    # add a hash so that this test can pass
+    # https://github.com/scikit-learn/scikit-learn/blob/6fd23fca53845b32b249f2b36051c081b65e2fab/sklearn/utils/validation.py#L486-L487
+    @method(preserve=True)
+    def __hash__(self) -> int:
+        egraph = _get_current_egraph()
+        egraph.register(self)
+        egraph.run(array_api_schedule)
+        simplified = egraph.extract(self)
+        return hash(cast("RuntimeExpr", simplified).__egg_typed_expr__)
+
+    def __round__(self, ndigits: OptionalIntLike = None) -> Int: ...
+
     # TODO: Fix this?
     # Make != always return a Bool, so that numpy.unique works on a tuple of ints
     # In _unique1d
@@ -280,6 +292,8 @@ def _int(i: i64, j: i64, r: Boolean, o: Int, b: Int):
     yield rewrite(Int.if_(TRUE, o, b), subsume=True).to(o)
     yield rewrite(Int.if_(FALSE, o, b), subsume=True).to(b)
 
+    yield rewrite(o.__round__(OptionalInt.none)).to(o)
+
     # Never cannot be equal to anything real
     yield rule(eq(Int.NEVER).to(Int(i))).then(panic("Int.NEVER cannot be equal to any real int"))
 
@@ -354,8 +368,14 @@ def __add__(self, other: FloatLike) -> Float: ...
     def __sub__(self, other: FloatLike) -> Float: ...
 
     def __pow__(self, other: FloatLike) -> Float: ...
+    def __round__(self, ndigits: OptionalIntLike = None) -> Float: ...
 
     def __eq__(self, other: FloatLike) -> Boolean: ...  # type: ignore[override]
+    def __ne__(self, other: FloatLike) -> Boolean: ...  # type: ignore[override]
+    def __lt__(self, other: FloatLike) -> Boolean: ...
+    def __le__(self, other: FloatLike) -> Boolean: ...
+    def __gt__(self, other: FloatLike) -> Boolean: ...
+    def __ge__(self, other: FloatLike) -> Boolean: ...
 
 
 converter(float, Float, lambda x: Float(x))
@@ -366,9 +386,10 @@ def __eq__(self, other: FloatLike) -> Boolean: ...  # type: ignore[override]
 
 
 @array_api_ruleset.register
-def _float(fl: Float, f: f64, f2: f64, i: i64, r: BigRat, r1: BigRat):
+def _float(fl: Float, f: f64, f2: f64, i: i64, r: BigRat, r1: BigRat, i_: Int):
     return [
         rule(eq(fl).to(Float(f))).then(set_(fl.to_f64).to(f)),
+        rewrite(Float.from_int(Int(i))).to(Float(f64.from_i64(i))),
         rewrite(Float(f).abs()).to(Float(f), f >= 0.0),
         rewrite(Float(f).abs()).to(Float(-f), f < 0.0),
         # Convert from float to rationl, if its a whole number i.e. can be converted to int
@@ -383,11 +404,22 @@ def _float(fl: Float, f: f64, f2: f64, i: i64, r: BigRat, r1: BigRat):
         rewrite(Float.rational(r) - Float.rational(r1)).to(Float.rational(r - r1)),
         rewrite(Float.rational(r) * Float.rational(r1)).to(Float.rational(r * r1)),
         rewrite(Float(f) ** Float(f2)).to(Float(f**f2)),
-        # ==
+        # comparisons
         rewrite(Float(f) == Float(f)).to(TRUE),
         rewrite(Float(f) == Float(f2)).to(FALSE, ne(f).to(f2)),
+        rewrite(Float(f) != Float(f2)).to(TRUE, f != f2),
+        rewrite(Float(f) != Float(f)).to(FALSE),
+        rewrite(Float(f) >= Float(f2)).to(TRUE, f >= f2),
+        rewrite(Float(f) >= Float(f2)).to(FALSE, f < f2),
+        rewrite(Float(f) <= Float(f2)).to(TRUE, f <= f2),
+        rewrite(Float(f) <= Float(f2)).to(FALSE, f > f2),
+        rewrite(Float(f) > Float(f2)).to(TRUE, f > f2),
+        rewrite(Float(f) > Float(f2)).to(FALSE, f <= f2),
+        rewrite(Float(f) < Float(f2)).to(TRUE, f < f2),
         rewrite(Float.rational(r) == Float.rational(r)).to(TRUE),
         rewrite(Float.rational(r) == Float.rational(r1)).to(FALSE, ne(r).to(r1)),
+        # round
+        rewrite(Float.rational(r).__round__()).to(Float.rational(r.round())),
     ]
 
 
@@ -671,6 +703,8 @@ class OptionalInt(Expr, ruleset=array_api_ruleset):
     def some(cls, value: Int) -> OptionalInt: ...
 
 
+OptionalIntLike: TypeAlias = OptionalInt | IntLike | None
+
 converter(type(None), OptionalInt, lambda _: OptionalInt.none)
 converter(Int, OptionalInt, OptionalInt.some)
 
diff --git a/python/egglog/exp/array_api_jit.py b/python/egglog/exp/array_api_jit.py
index e8e0e27f..0e2ee53d 100644
--- a/python/egglog/exp/array_api_jit.py
+++ b/python/egglog/exp/array_api_jit.py
@@ -14,16 +14,22 @@
 X = TypeVar("X", bound=Callable)
 
 
-def jit(fn: X) -> X:
+def jit(
+    fn: X,
+    *,
+    handle_expr: Callable[[NDArray], None] | None = None,
+    handle_optimized_expr: Callable[[NDArray], None] | None = None,
+) -> X:
     """
     Jit compiles a function
     """
     egraph, res, res_optimized, program = function_to_program(fn, save_egglog_string=False)
+    if handle_expr:
+        handle_expr(res)
+    if handle_optimized_expr:
+        handle_optimized_expr(res_optimized)
     fn_program = EvalProgram(program, {"np": np})
-    fn = cast("X", try_evaling(egraph, array_api_program_gen_schedule, fn_program, fn_program.as_py_object))
-    fn.initial_expr = res  # type: ignore[attr-defined]
-    fn.expr = res_optimized  # type: ignore[attr-defined]
-    return fn
+    return cast("X", try_evaling(egraph, array_api_program_gen_schedule, fn_program, fn_program.as_py_object))
 
 
 def function_to_program(fn: Callable, save_egglog_string: bool) -> tuple[EGraph, NDArray, NDArray, Program]:
diff --git a/python/egglog/exp/array_api_program_gen.py b/python/egglog/exp/array_api_program_gen.py
index 0e062d90..57027f1c 100644
--- a/python/egglog/exp/array_api_program_gen.py
+++ b/python/egglog/exp/array_api_program_gen.py
@@ -505,6 +505,6 @@ def bin_op(res: NDArray, op: str) -> Command:
     yield rewrite(ndarray_program(abs(x))).to((Program("np.abs(") + ndarray_program(x) + ")").assign())
 
     # asarray
-    yield rewrite(ndarray_program(asarray(x, odtype))).to(
+    yield rewrite(ndarray_program(asarray(x, odtype, OptionalBool.none, optional_device_))).to(
         Program("np.asarray(") + ndarray_program(x) + ", " + optional_dtype_program(odtype) + ")"
     )
diff --git a/python/egglog/pretty.py b/python/egglog/pretty.py
index 01beddc5..1ebbc586 100644
--- a/python/egglog/pretty.py
+++ b/python/egglog/pretty.py
@@ -394,6 +394,7 @@ def _call_inner(  # noqa: C901, PLR0911, PLR0912
                 return f"{tp_ref}.{method_name}", args
             case MethodRef(_class_name, method_name):
                 slf, *args = args
+                non_str_slf = slf
                 slf = self(slf, parens=True)
                 match method_name:
                     case _ if method_name in UNARY_METHODS:
@@ -410,6 +411,8 @@ def _call_inner(  # noqa: C901, PLR0911, PLR0912
                         return f"del {slf}[{self(args[0], unwrap_lit=True)}]"
                     case "__setitem__":
                         return f"{slf}[{self(args[0], unwrap_lit=True)}] = {self(args[1], unwrap_lit=True)}"
+                    case "__round__":
+                        return "round", [non_str_slf, *args]
                     case _:
                         return f"{slf}.{method_name}", args
             case ConstantRef(name):
diff --git a/python/egglog/runtime.py b/python/egglog/runtime.py
index 26f8d9fa..14698d0f 100644
--- a/python/egglog/runtime.py
+++ b/python/egglog/runtime.py
@@ -65,6 +65,10 @@
     "__and__",
     "__xor__",
     "__or__",
+    "__lt__",
+    "__le__",
+    "__gt__",
+    "__ge__",
 }
 
 
@@ -85,10 +89,7 @@
     "__pos__",
     "__neg__",
     "__invert__",
-    "__lt__",
-    "__le__",
-    "__gt__",
-    "__ge__",
+    "__round__",
 }
 
 # Set this globally so we can get access to PyObject when we have a type annotation of just object.
@@ -567,6 +568,8 @@ def __setstate__(self, d: tuple[Declarations, TypedExprDecl]) -> None:
         self.__egg_typed_expr_thunk__ = Thunk.value(d[1])
 
     def __hash__(self) -> int:
+        if (method := _get_expr_method(self, "__hash__")) is not None:
+            return cast("int", cast("Any", method()))
         return hash(self.__egg_typed_expr__)
 
     # Implement this directly to special case behavior where it transforms to an egraph equality, if it is not a
@@ -647,42 +650,13 @@ def _numeric_binary_method(self: object, other: object, name: str = name, r_meth
                 )
             )
         ):
-            from .conversion import CONVERSIONS, resolve_type, retrieve_conversion_decls  # noqa: PLC0415
-
-            # tuple of (cost, convert_self)
-            best_method: (
-                tuple[
-                    int,
-                    Callable[[Any], RuntimeExpr],
-                ]
-                | None
-            ) = None
-            # Start by checking if we have a LHS that matches exactly and a RHS which can be converted
-            if (
-                isinstance(self, RuntimeExpr)
-                and (
-                    desired_other_type := self.__egg_decls__.check_binary_method_with_self_type(
-                        name, self.__egg_typed_expr__.tp
-                    )
-                )
-                and (converter := CONVERSIONS.get((resolve_type(other), desired_other_type)))
-            ):
-                best_method = (converter[0], lambda x: x)
-
-            # Next see if it's possible to convert the LHS and keep the RHS as is
-            if isinstance(other, RuntimeExpr):
-                decls = retrieve_conversion_decls()
-                other_type = other.__egg_typed_expr__.tp
-                resolved_self_type = resolve_type(self)
-                for desired_self_type in decls.check_binary_method_with_other_type(name, other_type):
-                    if converter := CONVERSIONS.get((resolved_self_type, desired_self_type)):
-                        cost, convert_self = converter
-                        if best_method is None or best_method[0] > cost:
-                            best_method = (cost, convert_self)
+            from .conversion import min_binary_conversion, resolve_type  # noqa: PLC0415
+
+            best_method = min_binary_conversion(name, resolve_type(self), resolve_type(other))
 
             if not best_method:
                 raise RuntimeError(f"Cannot resolve {name} for {self} and {other}, no conversion found")
-            self = best_method[1](self)
+            self, other = best_method[0](self), best_method[1](other)
 
         method_ref = MethodRef(self.__egg_class_name__, name)
         fn = RuntimeFunction(Thunk.value(self.__egg_decls__), Thunk.value(method_ref), self)
diff --git a/python/tests/__snapshots__/test_array_api/test_jit[lda][code].py b/python/tests/__snapshots__/test_array_api/test_jit[lda][code].py
index f4942a8b..7bb9f1ea 100644
--- a/python/tests/__snapshots__/test_array_api/test_jit[lda][code].py
+++ b/python/tests/__snapshots__/test_array_api/test_jit[lda][code].py
@@ -25,7 +25,7 @@ def __fn(X, y):
     _8[2, :,] = _14
     _15 = _7 @ _8
     _16 = X - _15
-    _17 = np.sqrt(np.asarray(np.array((float(1) / 147)), np.dtype(np.float64)))
+    _17 = np.sqrt(np.asarray(np.array(float(1 / 147)), np.dtype(np.float64)))
     _18 = X[_0] - _8[0, :,]
     _19 = X[_2] - _8[1, :,]
     _20 = X[_4] - _8[2, :,]
@@ -49,7 +49,7 @@ def __fn(X, y):
     _37 = _33[2][:_36, :,] / _29
     _38 = _37.T / _33[1][:_36]
     _39 = np.array(150) * _7
-    _40 = _39 * np.array((float(1) / 2))
+    _40 = _39 * np.array(float(1 / 2))
     _41 = np.sqrt(_40)
     _42 = _8 - _15
     _43 = _41 * _42.T
diff --git a/python/tests/__snapshots__/test_array_api/test_jit[lda][expr].py b/python/tests/__snapshots__/test_array_api/test_jit[lda][expr].py
index 18fe5202..0de1df3d 100644
--- a/python/tests/__snapshots__/test_array_api/test_jit[lda][expr].py
+++ b/python/tests/__snapshots__/test_array_api/test_jit[lda][expr].py
@@ -30,22 +30,38 @@
 _IndexKey_3 = IndexKey.multi_axis(MultiAxisIndexKey.from_vec(Vec[MultiAxisIndexKeyItem](MultiAxisIndexKeyItem.int(Int(2)), _MultiAxisIndexKeyItem_1)))
 _NDArray_7 = _NDArray_1[IndexKey.ndarray(_NDArray_2 == NDArray.scalar(Value.int(Int(2))))]
 _NDArray_4[_IndexKey_3] = sum(_NDArray_7, _OptionalIntOrTuple_1) / NDArray.scalar(Value.int(_NDArray_7.shape[Int(0)]))
-_Value_1 = Value.float(Float.rational(BigRat(BigInt.from_string("1"), BigInt.from_string("1"))))
 _NDArray_8 = concat(
     TupleNDArray.from_vec(Vec[NDArray](_NDArray_5 - _NDArray_4[_IndexKey_1], _NDArray_6 - _NDArray_4[_IndexKey_2], _NDArray_7 - _NDArray_4[_IndexKey_3])), OptionalInt.some(Int(0))
 )
 _NDArray_9 = square(_NDArray_8 - expand_dims(sum(_NDArray_8, _OptionalIntOrTuple_1) / NDArray.scalar(Value.int(_NDArray_8.shape[Int(0)]))))
 _NDArray_10 = sqrt(sum(_NDArray_9, _OptionalIntOrTuple_1) / NDArray.scalar(Value.int(_NDArray_9.shape[Int(0)])))
 _NDArray_11 = copy(_NDArray_10)
-_NDArray_11[IndexKey.ndarray(_NDArray_10 == NDArray.scalar(Value.int(Int(0))))] = NDArray.scalar(_Value_1)
-_TupleNDArray_1 = svd(sqrt(asarray(NDArray.scalar(Value.int(_Value_1.to_int / Int(147))), OptionalDType.some(DType.float64))) * (_NDArray_8 / _NDArray_11), Boolean(False))
+_NDArray_11[IndexKey.ndarray(_NDArray_10 == NDArray.scalar(Value.int(Int(0))))] = NDArray.scalar(
+    Value.float(Float.rational(BigRat(BigInt.from_string("1"), BigInt.from_string("1"))))
+)
+_TupleNDArray_1 = svd(
+    sqrt(
+        asarray(
+            NDArray.scalar(Value.float(Float.rational(BigRat(BigInt.from_string("1"), BigInt.from_string("147"))))),
+            OptionalDType.some(DType.float64),
+            OptionalBool.none,
+            OptionalDevice.some(_NDArray_1.device),
+        )
+    )
+    * (_NDArray_8 / _NDArray_11),
+    Boolean(False),
+)
 _Slice_1 = Slice(OptionalInt.none, OptionalInt.some(sum(astype(_TupleNDArray_1[Int(1)] > NDArray.scalar(Value.float(Float(0.0001))), DType.int32)).to_value().to_int))
 _NDArray_12 = (
     _TupleNDArray_1[Int(2)][IndexKey.multi_axis(MultiAxisIndexKey.from_vec(Vec[MultiAxisIndexKeyItem](MultiAxisIndexKeyItem.slice(_Slice_1), _MultiAxisIndexKeyItem_1)))]
     / _NDArray_11
 ).T / _TupleNDArray_1[Int(1)][IndexKey.slice(_Slice_1)]
 _TupleNDArray_2 = svd(
-    (sqrt((NDArray.scalar(Value.int(Int(150))) * _NDArray_3) * NDArray.scalar(Value.int(_Value_1.to_int / Int(2)))) * (_NDArray_4 - (_NDArray_3 @ _NDArray_4)).T).T @ _NDArray_12,
+    (
+        sqrt((NDArray.scalar(Value.int(Int(150))) * _NDArray_3) * NDArray.scalar(Value.float(Float.rational(BigRat(BigInt.from_string("1"), BigInt.from_string("2"))))))
+        * (_NDArray_4 - (_NDArray_3 @ _NDArray_4)).T
+    ).T
+    @ _NDArray_12,
     Boolean(False),
 )
 (
diff --git a/python/tests/__snapshots__/test_array_api/test_jit[lda][initial_expr].py b/python/tests/__snapshots__/test_array_api/test_jit[lda][initial_expr].py
index 1ee8a0ab..1601d464 100644
--- a/python/tests/__snapshots__/test_array_api/test_jit[lda][initial_expr].py
+++ b/python/tests/__snapshots__/test_array_api/test_jit[lda][initial_expr].py
@@ -23,7 +23,6 @@
 _IndexKey_5 = IndexKey.multi_axis(MultiAxisIndexKey.from_vec(Vec(MultiAxisIndexKeyItem.int(Int(2)), _MultiAxisIndexKeyItem_1)))
 _IndexKey_6 = IndexKey.ndarray(unique_inverse(_NDArray_2)[Int(1)] == NDArray.scalar(Value.int(Int(2))))
 _NDArray_3[_IndexKey_5] = mean(asarray(_NDArray_1)[_IndexKey_6], _OptionalIntOrTuple_1)
-_Value_1 = Value.float(Float.rational(BigRat(BigInt.from_string("1"), BigInt.from_string("1"))))
 _NDArray_4 = zeros(TupleInt.from_vec(Vec[Int](Int(3), Int(4))), OptionalDType.some(DType.float64), OptionalDevice.some(_NDArray_1.device))
 _IndexKey_7 = IndexKey.multi_axis(MultiAxisIndexKey.from_vec(Vec[MultiAxisIndexKeyItem](MultiAxisIndexKeyItem.int(Int(0)), _MultiAxisIndexKeyItem_1)))
 _NDArray_4[_IndexKey_7] = mean(_NDArray_1[_IndexKey_2], _OptionalIntOrTuple_1)
@@ -42,8 +41,21 @@
     OptionalInt.some(Int(0)),
 )
 _NDArray_6 = std(_NDArray_5, _OptionalIntOrTuple_1)
-_NDArray_6[IndexKey.ndarray(std(_NDArray_5, _OptionalIntOrTuple_1) == NDArray.scalar(Value.int(Int(0))))] = NDArray.scalar(_Value_1)
-_TupleNDArray_1 = svd(sqrt(asarray(NDArray.scalar(Value.int(_Value_1.to_int / Int(147))), OptionalDType.some(DType.float64))) * (_NDArray_5 / _NDArray_6), Boolean(False))
+_NDArray_6[IndexKey.ndarray(std(_NDArray_5, _OptionalIntOrTuple_1) == NDArray.scalar(Value.int(Int(0))))] = NDArray.scalar(
+    Value.float(Float.rational(BigRat(BigInt.from_string("1"), BigInt.from_string("1"))))
+)
+_TupleNDArray_1 = svd(
+    sqrt(
+        asarray(
+            NDArray.scalar(Value.float(Float.rational(BigRat(BigInt.from_string("1"), BigInt.from_string("147"))))),
+            OptionalDType.some(DType.float64),
+            OptionalBool.none,
+            OptionalDevice.some(_NDArray_1.device),
+        )
+    )
+    * (_NDArray_5 / _NDArray_6),
+    Boolean(False),
+)
 _Slice_1 = Slice(OptionalInt.none, OptionalInt.some(sum(astype(_TupleNDArray_1[Int(1)] > NDArray.scalar(Value.float(Float(0.0001))), DType.int32)).to_value().to_int))
 _NDArray_7 = asarray(reshape(asarray(_NDArray_2), TupleInt.from_vec(Vec[Int](Int(-1)))))
 _NDArray_8 = unique_values(concat(TupleNDArray.from_vec(Vec[NDArray](unique_values(asarray(_NDArray_7))))))
@@ -64,7 +76,10 @@
 _NDArray_10[IndexKey.ndarray(_NDArray_9 == NDArray.scalar(Value.int(Int(0))))] = NDArray.scalar(Value.float(Float(1.0)))
 _NDArray_11 = astype(unique_counts(_NDArray_2)[Int(1)], DType.float64) / NDArray.scalar(Value.float(Float.rational(BigRat(BigInt.from_string("150"), BigInt.from_string("1")))))
 _TupleNDArray_2 = svd(
-    (sqrt((NDArray.scalar(Value.int(Int(150))) * _NDArray_11) * NDArray.scalar(Value.int(_Value_1.to_int / Int(2)))) * (_NDArray_4 - (_NDArray_11 @ _NDArray_4)).T).T
+    (
+        sqrt((NDArray.scalar(Value.int(Int(150))) * _NDArray_11) * NDArray.scalar(Value.float(Float.rational(BigRat(BigInt.from_string("1"), BigInt.from_string("2"))))))
+        * (_NDArray_4 - (_NDArray_11 @ _NDArray_4)).T
+    ).T
     @ (
         (
             _TupleNDArray_1[Int(2)][IndexKey.multi_axis(MultiAxisIndexKey.from_vec(Vec[MultiAxisIndexKeyItem](MultiAxisIndexKeyItem.slice(_Slice_1), _MultiAxisIndexKeyItem_1)))]
diff --git a/python/tests/conftest.py b/python/tests/conftest.py
index 5ca02195..2769872e 100644
--- a/python/tests/conftest.py
+++ b/python/tests/conftest.py
@@ -4,6 +4,7 @@
 from syrupy.extensions.single_file import SingleFileSnapshotExtension
 
 import egglog.conversion
+import egglog.exp.array_api
 
 
 @pytest.fixture(autouse=True)
@@ -15,6 +16,12 @@ def _reset_conversions():
     egglog.conversion._TO_PROCESS_DECLS = old_conversion_decls
 
 
+@pytest.fixture(autouse=True)
+def _reset_current_egraph():
+    yield
+    egglog.exp.array_api._CURRENT_EGRAPH = None
+
+
 class PythonSnapshotExtension(SingleFileSnapshotExtension):
     _file_extension = "py"
 
diff --git a/python/tests/test_array_api.py b/python/tests/test_array_api.py
index 2020a6e5..4ef0f68e 100644
--- a/python/tests/test_array_api.py
+++ b/python/tests/test_array_api.py
@@ -1,6 +1,7 @@
 # mypy: disable-error-code="empty-body"
 import inspect
 from collections.abc import Callable
+from functools import partial
 from itertools import product
 from pathlib import Path
 from types import FunctionType
@@ -27,6 +28,10 @@
 some_int_index = constant("some_int_index", Int)
 
 
+def test_upcast_order():
+    assert Int(2) > round(0.5 * Int(2))  # type: ignore[operator]
+
+
 @function(ruleset=array_api_ruleset)
 def is_even(x: Int) -> Boolean:
     return x % 2 == 0
@@ -348,9 +353,12 @@ def lda(X: NDArray, y: NDArray):
     ],
 )
 def test_jit(program, snapshot_py, benchmark):
-    jitted = benchmark(jit, program)
-    assert str(jitted.initial_expr) == snapshot_py(name="initial_expr")
-    assert str(jitted.expr) == snapshot_py(name="expr")
+    def save_expr(name, expr):
+        assert str(expr) == snapshot_py(name=name)
+
+    jitted = benchmark(
+        jit, program, handle_expr=partial(save_expr, "initial_expr"), handle_optimized_expr=partial(save_expr, "expr")
+    )
     assert inspect.getsource(jitted) == snapshot_py(name="code")
 
 
diff --git a/python/tests/test_high_level.py b/python/tests/test_high_level.py
index 7618e3f0..a2b6b002 100644
--- a/python/tests/test_high_level.py
+++ b/python/tests/test_high_level.py
@@ -947,6 +947,17 @@ def test_type_param_sub():
     assert str(V[Unit]) == str(Vec[Unit] | int)  # type: ignore[misc]
 
 
+def test_override_hash():
+    class A(Expr):
+        def __init__(self) -> None: ...
+
+        @method(preserve=True)
+        def __hash__(self) -> int:
+            return 42
+
+    assert hash(A()) == 42
+
+
 EXAMPLE_FILES = list((pathlib.Path(__file__).parent / "../egglog/examples").glob("*.py"))
 
 
diff --git a/uv.lock b/uv.lock
index b741fea3..a5516e6c 100644
--- a/uv.lock
+++ b/uv.lock
@@ -1,14 +1,15 @@
 version = 1
 requires-python = ">=3.10"
 resolution-markers = [
-    "python_full_version < '3.11'",
+    "python_full_version >= '3.14'",
+    "python_full_version >= '3.12' and python_full_version < '3.14'",
     "python_full_version == '3.11.*'",
-    "python_full_version >= '3.12'",
+    "python_full_version < '3.11'",
 ]
 
 [[package]]
 name = "ablog"
-version = "0.11.11"
+version = "0.11.12"
 source = { registry = "https://pypi.org/simple" }
 dependencies = [
     { name = "docutils" },
@@ -16,12 +17,13 @@ dependencies = [
     { name = "invoke" },
     { name = "packaging" },
     { name = "python-dateutil" },
-    { name = "sphinx" },
+    { name = "sphinx", version = "8.1.3", source = { registry = "https://pypi.org/simple" }, marker = "python_full_version < '3.11'" },
+    { name = "sphinx", version = "8.2.3", source = { registry = "https://pypi.org/simple" }, marker = "python_full_version >= '3.11'" },
     { name = "watchdog" },
 ]
-sdist = { url = "https://files.pythonhosted.org/packages/9d/69/5702b7c8f60f15afacdfdffb40e7b5150074ed645cd9776e84febec85d0e/ablog-0.11.11.tar.gz", hash = "sha256:a236bc4302bf51c32b1e010fb2dd52461d26369ef8beff210532e69cd0d4d145", size = 103600 }
+sdist = { url = "https://files.pythonhosted.org/packages/db/81/d6337121f1ba631f3b832815aa22b32777296dc3d2f208b9c4217e23548f/ablog-0.11.12.tar.gz", hash = "sha256:1e6e1239973382adefc00eacc71125604fbfcb1e768a8a940b25fd078f0cea22", size = 107000 }
 wheels = [
-    { url = "https://files.pythonhosted.org/packages/0d/65/b7e68c8c024ca01f3fcd3fd9a2e526e69b7b1943860e87fe3f2a01ee90a5/ablog-0.11.11-py3-none-any.whl", hash = "sha256:0cb30ba933ce5af4427627c95a6675a4f91c5ab306a13700be9205be9cdef612", size = 72703 },
+    { url = "https://files.pythonhosted.org/packages/28/26/201a582abb73f049707458a3d04e7bba42a8638df740557f472cdac4346b/ablog-0.11.12-py3-none-any.whl", hash = "sha256:29228f5126550910b8f7a06a961fb10b6542ed64101c5b4887282555b9582020", size = 74516 },
 ]
 
 [[package]]
@@ -47,36 +49,35 @@ wheels = [
 
 [[package]]
 name = "anyio"
-version = "4.6.2.post1"
+version = "4.10.0"
 source = { registry = "https://pypi.org/simple" }
 dependencies = [
     { name = "exceptiongroup", marker = "python_full_version < '3.11'" },
     { name = "idna" },
     { name = "sniffio" },
-    { name = "typing-extensions", marker = "python_full_version < '3.11'" },
+    { name = "typing-extensions", marker = "python_full_version < '3.13'" },
 ]
-sdist = { url = "https://files.pythonhosted.org/packages/9f/09/45b9b7a6d4e45c6bcb5bf61d19e3ab87df68e0601fa8c5293de3542546cc/anyio-4.6.2.post1.tar.gz", hash = "sha256:4c8bc31ccdb51c7f7bd251f51c609e038d63e34219b44aa86e47576389880b4c", size = 173422 }
+sdist = { url = "https://files.pythonhosted.org/packages/f1/b4/636b3b65173d3ce9a38ef5f0522789614e590dab6a8d505340a4efe4c567/anyio-4.10.0.tar.gz", hash = "sha256:3f3fae35c96039744587aa5b8371e7e8e603c0702999535961dd336026973ba6", size = 213252 }
 wheels = [
-    { url = "https://files.pythonhosted.org/packages/e4/f5/f2b75d2fc6f1a260f340f0e7c6a060f4dd2961cc16884ed851b0d18da06a/anyio-4.6.2.post1-py3-none-any.whl", hash = "sha256:6d170c36fba3bdd840c73d3868c1e777e33676a69c3a72cf0a0d5d6d8009b61d", size = 90377 },
+    { url = "https://files.pythonhosted.org/packages/6f/12/e5e0282d673bb9746bacfb6e2dba8719989d3660cdb2ea79aee9a9651afb/anyio-4.10.0-py3-none-any.whl", hash = "sha256:60e474ac86736bbfd6f210f7a61218939c318f43f9972497381f1c5e930ed3d1", size = 107213 },
 ]
 
 [[package]]
 name = "anywidget"
-version = "0.9.13"
+version = "0.9.18"
 source = { registry = "https://pypi.org/simple" }
 dependencies = [
     { name = "ipywidgets" },
     { name = "psygnal" },
     { name = "typing-extensions" },
 ]
-sdist = { url = "https://files.pythonhosted.org/packages/87/79/647983b0cbddd797d9d79e09f89ee5912bb066af6bf456bd8acde66b1a39/anywidget-0.9.13.tar.gz", hash = "sha256:c655455bf51f82182eb23c5947d37cc41f0b1ffacaf7e2b763147a2332cb3f07", size = 9666998 }
+sdist = { url = "https://files.pythonhosted.org/packages/ed/69/20423d6abd2a57d767d20a9dcf3f816bd4cbbe4813ac7c7158ba16e44c3f/anywidget-0.9.18.tar.gz", hash = "sha256:262cf459b517a7d044d6fbc84b953e9c83f026790b2dd3ce90f21a7f8eded00f", size = 9808509 }
 wheels = [
-    { url = "https://files.pythonhosted.org/packages/1a/5a/7b024920cca385eb9b56bc63edf0a647de208346bfac5b339b544733d53a/anywidget-0.9.13-py3-none-any.whl", hash = "sha256:43d1658f1043b8c95cd350b2f5deccb123fd37810a36f656d6163aefe8163705", size = 213685 },
+    { url = "https://files.pythonhosted.org/packages/2b/f0/09a30ca0551af20c7cefa7464b7ccb6f5407a550b83c4dcb15c410814849/anywidget-0.9.18-py3-none-any.whl", hash = "sha256:944b82ef1dd17b8ff0fb6d1f199f613caf9111338e6e2857da478f6e73770cb8", size = 220671 },
 ]
 
 [package.optional-dependencies]
 dev = [
-    { name = "comm" },
     { name = "watchfiles" },
 ]
 
@@ -91,22 +92,26 @@ wheels = [
 
 [[package]]
 name = "argon2-cffi"
-version = "23.1.0"
+version = "25.1.0"
 source = { registry = "https://pypi.org/simple" }
 dependencies = [
-    { name = "argon2-cffi-bindings" },
+    { name = "argon2-cffi-bindings", version = "21.2.0", source = { registry = "https://pypi.org/simple" }, marker = "python_full_version >= '3.14'" },
+    { name = "argon2-cffi-bindings", version = "25.1.0", source = { registry = "https://pypi.org/simple" }, marker = "python_full_version < '3.14'" },
 ]
-sdist = { url = "https://files.pythonhosted.org/packages/31/fa/57ec2c6d16ecd2ba0cf15f3c7d1c3c2e7b5fcb83555ff56d7ab10888ec8f/argon2_cffi-23.1.0.tar.gz", hash = "sha256:879c3e79a2729ce768ebb7d36d4609e3a78a4ca2ec3a9f12286ca057e3d0db08", size = 42798 }
+sdist = { url = "https://files.pythonhosted.org/packages/0e/89/ce5af8a7d472a67cc819d5d998aa8c82c5d860608c4db9f46f1162d7dab9/argon2_cffi-25.1.0.tar.gz", hash = "sha256:694ae5cc8a42f4c4e2bf2ca0e64e51e23a040c6a517a85074683d3959e1346c1", size = 45706 }
 wheels = [
-    { url = "https://files.pythonhosted.org/packages/a4/6a/e8a041599e78b6b3752da48000b14c8d1e8a04ded09c88c714ba047f34f5/argon2_cffi-23.1.0-py3-none-any.whl", hash = "sha256:c670642b78ba29641818ab2e68bd4e6a78ba53b7eff7b4c3815ae16abf91c7ea", size = 15124 },
+    { url = "https://files.pythonhosted.org/packages/4f/d3/a8b22fa575b297cd6e3e3b0155c7e25db170edf1c74783d6a31a2490b8d9/argon2_cffi-25.1.0-py3-none-any.whl", hash = "sha256:fdc8b074db390fccb6eb4a3604ae7231f219aa669a2652e0f20e16ba513d5741", size = 14657 },
 ]
 
 [[package]]
 name = "argon2-cffi-bindings"
 version = "21.2.0"
 source = { registry = "https://pypi.org/simple" }
+resolution-markers = [
+    "python_full_version >= '3.14'",
+]
 dependencies = [
-    { name = "cffi" },
+    { name = "cffi", marker = "python_full_version >= '3.14'" },
 ]
 sdist = { url = "https://files.pythonhosted.org/packages/b9/e9/184b8ccce6683b0aa2fbb7ba5683ea4b9c5763f1356347f1312c32e3c66e/argon2-cffi-bindings-21.2.0.tar.gz", hash = "sha256:bb89ceffa6c791807d1305ceb77dbfacc5aa499891d2c55661c6459651fc39e3", size = 1779911 }
 wheels = [
@@ -122,13 +127,54 @@ wheels = [
     { url = "https://files.pythonhosted.org/packages/5a/e4/bf8034d25edaa495da3c8a3405627d2e35758e44ff6eaa7948092646fdcc/argon2_cffi_bindings-21.2.0-cp38-abi3-macosx_10_9_universal2.whl", hash = "sha256:e415e3f62c8d124ee16018e491a009937f8cf7ebf5eb430ffc5de21b900dad93", size = 53104 },
 ]
 
+[[package]]
+name = "argon2-cffi-bindings"
+version = "25.1.0"
+source = { registry = "https://pypi.org/simple" }
+resolution-markers = [
+    "python_full_version >= '3.12' and python_full_version < '3.14'",
+    "python_full_version == '3.11.*'",
+    "python_full_version < '3.11'",
+]
+dependencies = [
+    { name = "cffi", marker = "python_full_version < '3.14'" },
+]
+sdist = { url = "https://files.pythonhosted.org/packages/5c/2d/db8af0df73c1cf454f71b2bbe5e356b8c1f8041c979f505b3d3186e520a9/argon2_cffi_bindings-25.1.0.tar.gz", hash = "sha256:b957f3e6ea4d55d820e40ff76f450952807013d361a65d7f28acc0acbf29229d", size = 1783441 }
+wheels = [
+    { url = "https://files.pythonhosted.org/packages/60/97/3c0a35f46e52108d4707c44b95cfe2afcafc50800b5450c197454569b776/argon2_cffi_bindings-25.1.0-cp314-cp314t-macosx_10_13_universal2.whl", hash = "sha256:3d3f05610594151994ca9ccb3c771115bdb4daef161976a266f0dd8aa9996b8f", size = 54393 },
+    { url = "https://files.pythonhosted.org/packages/9d/f4/98bbd6ee89febd4f212696f13c03ca302b8552e7dbf9c8efa11ea4a388c3/argon2_cffi_bindings-25.1.0-cp314-cp314t-macosx_10_13_x86_64.whl", hash = "sha256:8b8efee945193e667a396cbc7b4fb7d357297d6234d30a489905d96caabde56b", size = 29328 },
+    { url = "https://files.pythonhosted.org/packages/43/24/90a01c0ef12ac91a6be05969f29944643bc1e5e461155ae6559befa8f00b/argon2_cffi_bindings-25.1.0-cp314-cp314t-macosx_11_0_arm64.whl", hash = "sha256:3c6702abc36bf3ccba3f802b799505def420a1b7039862014a65db3205967f5a", size = 31269 },
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