diff --git a/diffrax/_term.py b/diffrax/_term.py
index 9b0c0314..ab231b2e 100644
--- a/diffrax/_term.py
+++ b/diffrax/_term.py
@@ -736,7 +736,8 @@ class WrapTerm(AbstractTerm[_VF, _Control]):
     direction: IntScalarLike
 
     def vf(self, t: RealScalarLike, y: Y, args: Args) -> _VF:
-        t = t * self.direction
+        with jax.numpy_dtype_promotion("standard"):
+            t = t * self.direction
         return self.term.vf(t, y, args)
 
     def contr(self, t0: RealScalarLike, t1: RealScalarLike, **kwargs) -> _Control:
@@ -749,7 +750,8 @@ def prod(self, vf: _VF, control: _Control) -> Y:
             return self.term.prod(vf, control)
 
     def vf_prod(self, t: RealScalarLike, y: Y, args: Args, control: _Control) -> Y:
-        t = t * self.direction
+        with jax.numpy_dtype_promotion("standard"):
+            t = t * self.direction
         return self.term.vf_prod(t, y, args, control)
 
     def is_vf_expensive(
diff --git a/test/test_integrate.py b/test/test_integrate.py
index fcf3a836..9918aa20 100644
--- a/test/test_integrate.py
+++ b/test/test_integrate.py
@@ -631,6 +631,8 @@ def out_structure(self):
             return (jax.ShapeDtypeStruct((2, 3), jnp.float64),)
 
     @lx.is_symmetric.register(TestLinearOperator)
+    @lx.is_positive_semidefinite.register(TestLinearOperator)
+    @lx.is_negative_semidefinite.register(TestLinearOperator)
     def _(operator):
         del operator
         return False