docs: TOC nesting fix + clarify compile_model backends (ils_*)

acopula/compile.py

@@ -366,21 +366,31 @@ def compile_model(
             ``model_fn`` expects.  Values are used only to drive oryx's
             tracer; pass any sensible defaults (e.g.
             ``{"theta": 1.0}``).
-        method: Density evaluation backend.  ``"bell"`` uses the
-            polynomial-powering scan (recommended for nested >= 2
-            levels), ``"single_layer"`` is the closed-form unnested
-            formula, ``"nested"`` falls back to numerical integration
-            via the implicit-LST solver.  ``"auto"`` picks ``"bell"``
-            for depth > 1 else ``"single_layer"``.
+        method: Density-evaluation backend:
+
+            - ``"auto"`` (default): ``"bell"`` for depth > 1, else
+              ``"single_layer"``.
+            - ``"bell"``: polynomial-powering scan (recommended for
+              nested copulas; the only backend that supports
+              ``with_censored_mask``).
+            - ``"single_layer"``: closed-form unnested formula (flat
+              copulas only).
+            - ``"integral"``: numerical inverse-Laplace integration —
+              the only backend that uses ``ils_method`` / ``ils_params``.
         survival: Treat marginals as survival functions
             ``S(t) = 1 - F(t)`` rather than CDFs.  Required for the
             HACSurv-style joint survival likelihood.
         with_censored_mask: If True, the returned ``ll_fn`` takes a
             third ``censored_mask`` argument so callers can ``vmap``
             per-observation masks.  Forces ``method="bell"`` since the
             other backends do not support dynamic censoring.
-        ils_method: Implicit-LST solver for ``method="nested"``.
-        ils_params: Extra params for the implicit solver.
+        ils_method: Inverse-Laplace solver used **only** by
+            ``method="integral"`` — e.g. ``"cohen"`` (default),
+            ``"euler"``, ``"post_widder"``. **Ignored by ``"bell"`` and
+            ``"single_layer"``**, which assemble the density analytically
+            and never invert a Laplace transform.
+        ils_params: Extra params for that solver; likewise **only used by
+            ``method="integral"``** and ignored by the other backends.
 
     Returns:
         A :class:`CompiledModel` holding the frozen graph, flattener,

acopula/core.py

@@ -151,25 +151,26 @@ def __call__(self, children: Iterable[Union["Node", "Leaf", jax.Array]]) -> "Nod
 
 
 def copula(cls):
-    """Decorator to create a copula class with dataclass-like syntax.
+    """Class decorator for defining a copula family with dataclass-style
+    parameters.
 
-    Usage:
+    Generates an ``__init__`` from the type-annotated class attributes,
+    makes the class inherit from `Copula`, and registers the parameters —
+    while preserving every user-defined method. Instances accept positional
+    or keyword arguments.
+
+    Examples:
+        ```python
         @copula
         class Clayton:
             theta: float
 
-            def generator(self, u: jax.Array) -> jax.Array:
+            def generator(self, u):
                 return (1.0 + u) ** (-1.0 / self.theta)
 
-        # Can instantiate with positional or keyword arguments
-        c1 = Clayton(2.0)
-        c2 = Clayton(theta=2.0)
-
-    This automatically:
-    - Makes the class inherit from Copula
-    - Generates an __init__ method from type annotations
-    - Preserves all user-defined methods
-    - Handles parameter registration
+        c1 = Clayton(2.0)        # positional
+        c2 = Clayton(theta=2.0)  # keyword
+        ```
     """
     # Get type annotations in definition order
     annotations = getattr(cls, "__annotations__", {})

mkdocs.yml

@@ -57,7 +57,7 @@ plugins:
             filters: ["!^_"]                    # hide private / dunder members
             show_source: false
             summary: true
-            heading_level: 2
+            heading_level: 3   # section headers are ## (h2); symbols nest as h3
   # Emits /llms.txt (an index for LLMs/agents, per llmstxt.org) plus a single
   # concatenated llms-full.txt of the whole site.
   - llmstxt: