diff --git a/crates/engine/src/cmd/graph/generate.rs b/crates/engine/src/cmd/graph/generate.rs
index 8efdc2df9..7110974c3 100644
--- a/crates/engine/src/cmd/graph/generate.rs
+++ b/crates/engine/src/cmd/graph/generate.rs
@@ -244,7 +244,8 @@ impl<'a> Plot<'a> {
         if marker_cost(g, &designs) > MARKER_BUDGET {
             designs.clear();
         }
-        let nser = g.rows.iter().map(Vec::len).max().unwrap_or(0).max(1);
+        // The same dimensions `GraphSpec::cells` reads: raw rows can be longer than the grid they are read through.
+        let nser = g.rows.iter().map(Vec::len).max().unwrap_or(0).clamp(1, vectorcraft_doc::MAX_GRAPH_SERIES);
         let kinds: Vec<GraphKind> = (0..nser).map(|s| g.series_kind(s)).collect();
         Plot {
             g,
@@ -253,7 +254,7 @@ impl<'a> Plot<'a> {
             designs,
             r: g.rect,
             nser,
-            ncat: g.rows.len().max(1),
+            ncat: g.rows.len().clamp(1, vectorcraft_doc::MAX_GRAPH_CATEGORIES),
             vs: label_size(&g.label_styles, Role::Value),
             cs: label_size(&g.label_styles, Role::Category),
             ls: label_size(&g.label_styles, Role::Legend),
diff --git a/crates/engine/src/cmd/webexport.rs b/crates/engine/src/cmd/webexport.rs
index c67d9428f..af0f313ea 100644
--- a/crates/engine/src/cmd/webexport.rs
+++ b/crates/engine/src/cmd/webexport.rs
@@ -21,7 +21,7 @@ use vectorcraft_render::encode::quantize::{self, Dither, Indexed, PaletteOptions
 use vectorcraft_render::encode::web::{self, ColorSort};
 use vectorcraft_render::encode::{gif, jpeg, png};
 
-use super::{CommandSpec, Result, Session, always, bad, bool_or, cmd, f64_or, has_doc, str_param, unique_name};
+use super::{CommandSpec, Result, Session, always, bad, bool_or, cmd, f64_or, has_doc, str_param, unique_name_from};
 
 const C: &str = "document.exportForWeb";
 
@@ -866,6 +866,8 @@ pub fn export_files(doc: &Document, selected: &[NodeId], s: &WebSettings, stem:
         placed.push((None, Some(name)));
     } else {
         let mut taken = HashSet::new();
+        // Per base, where the suffix search resumes, so many slices of one name don't each count up from 2.
+        let mut next = std::collections::HashMap::new();
         for c in &cells {
             let kind = c.area.id.and_then(|id| doc.slice_options(id)).map(|o| o.kind).unwrap_or_default();
             if kind != SliceKind::Image {
@@ -875,7 +877,7 @@ pub fn export_files(doc: &Document, selected: &[NodeId], s: &WebSettings, stem:
             let base: String = doc.slice_name(c.area).chars().map(|ch| if ch.is_alphanumeric() || "-_.".contains(ch) { ch } else { '-' }).collect();
             // A slice named after a Windows device (`aux`, `NUL`…) gets a `-` after the device name.
             let file = |base: &str| super::fileio::safe_file_name(&format!("{base}.{ext}"));
-            let base = unique_name(&base, |n| taken.contains(&file(n).to_lowercase()));
+            let base = unique_name_from(&base, &mut next, |n| taken.contains(&file(n).to_lowercase()));
             taken.insert(file(&base).to_lowercase());
             let name = format!("{IMAGES}/{}", file(&base));
             let [x0, y0, x1, y1] = c.px;
diff --git a/crates/plugins/src/effect.rs b/crates/plugins/src/effect.rs
index 29d5483d3..b49f5b831 100644
--- a/crates/plugins/src/effect.rs
+++ b/crates/plugins/src/effect.rs
@@ -120,8 +120,15 @@ struct Cache {
 
 static CACHE: Mutex<Option<Cache>> = Mutex::new(None);
 
+/// Cache units a path takes: its anchors, and one for each subpath's own allocation.
 fn anchors(p: &PathData) -> usize {
-    p.subpaths.iter().map(|sp| sp.anchors.len()).sum()
+    p.subpaths.iter().map(|sp| sp.anchors.len() + 1).sum()
+}
+
+/// Cache units an entry takes: its input and result paths, and the serialized parameters and
+/// paints its key owns (one unit per [`CACHE_ANCHORS`]'s 50 bytes an anchor stands for).
+fn weight(key: &Key, out: Option<&PathData>) -> usize {
+    anchors(&key.path) + out.map_or(0, anchors) + (key.params.len() + key.paints.len()) / 50 + 1
 }
 static ERRORS: Mutex<Option<HashMap<String, String>>> = Mutex::new(None);
 
@@ -168,7 +175,7 @@ pub fn apply(id: &str, params: &Value, path: &PathData, bounds: Rect, rule: Fill
     }
     note(id, &r);
     let out = r.ok();
-    let size = anchors(&key.path) + out.as_ref().map_or(0, anchors);
+    let size = weight(&key, out.as_ref());
     if size > CACHE_ANCHORS / 4 {
         return out;
     }
@@ -178,7 +185,7 @@ pub fn apply(id: &str, params: &Value, path: &PathData, bounds: Rect, rule: Fill
         *cache = Cache::default();
     }
     if let Some((old, old_out)) = cache.entries.insert(h, (key, out.clone())) {
-        cache.anchors = cache.anchors.saturating_sub(anchors(&old.path) + old_out.as_ref().map_or(0, anchors));
+        cache.anchors = cache.anchors.saturating_sub(weight(&old, old_out.as_ref()));
     }
     cache.anchors += size;
     out