diff --git a/crates/text/src/lib.rs b/crates/text/src/lib.rs
index d6bc66bf..7a6f8842 100644
--- a/crates/text/src/lib.rs
+++ b/crates/text/src/lib.rs
@@ -1534,6 +1534,12 @@ fn tab_advance(x: f64, stops: &[Tab], default_tab: f64, seg: (f64, f64)) -> f64
     (next - x).max(1.0)
 }
 
+#[cfg(test)]
+thread_local! {
+    /// How many times `layout_scaled` ran on this thread (tests count autofit's passes).
+    pub(crate) static LAYOUT_PASSES: std::cell::Cell<usize> = const { std::cell::Cell::new(0) };
+}
+
 /// Lay out a shape's text body.
 pub fn layout(ctx: &Ctx, shape: &Shape, body: &TextBody, opts: &Opts) -> TextLayout {
     let bp = resolve::body(ctx, shape);
@@ -1542,9 +1548,16 @@ pub fn layout(ctx: &Ctx, shape: &Shape, body: &TextBody, opts: &Opts) -> TextLay
     if let (AutoFit::Shrink { .. }, false) = (autofit, opts.no_shrink)
         && l.overflow
     {
+        // Text that overflows even at the smallest scale gets that scale: every larger one
+        // overflows too, so searching would only lay it out a dozen more times (seconds for a
+        // body of tens of thousands of paragraphs, on every redraw of the slide).
+        let smallest = layout_scaled(ctx, shape, body, &bp, opts, 0.1, 0.2);
+        if smallest.overflow {
+            return smallest;
+        }
         // Binary search the largest scale that fits (steps like 90%, 80%… with line reduction).
         let (mut lo, mut hi) = (0.1_f64, 1.0_f64);
-        let mut best = None;
+        let mut best = Some(smallest);
         for _ in 0..12 {
             let mid = (lo + hi) / 2.0;
             let red: f64 = ((1.0 - mid) * 0.8_f64).min(0.2);
@@ -1556,13 +1569,17 @@ pub fn layout(ctx: &Ctx, shape: &Shape, body: &TextBody, opts: &Opts) -> TextLay
                 best = Some(t);
             }
         }
-        l = best.unwrap_or_else(|| layout_scaled(ctx, shape, body, &bp, opts, 0.1, 0.2));
+        if let Some(b) = best {
+            l = b;
+        }
     }
     l
 }
 
 #[allow(clippy::too_many_arguments)]
 fn layout_scaled(ctx: &Ctx, shape: &Shape, body: &TextBody, bp: &BodyProps, opts: &Opts, scale: f64, reduce: f64) -> TextLayout {
+    #[cfg(test)]
+    LAYOUT_PASSES.with(|n| n.set(n.get() + 1));
     let r = opts.rect;
     let vert = bp.vert.unwrap_or(TextDir::Horizontal);
     // East Asian vertical text: CJK stands upright in text turned a quarter turn; stacked text
diff --git a/crates/text/src/tests.rs b/crates/text/src/tests.rs
index 1e2be177..6ffec19c 100644
--- a/crates/text/src/tests.rs
+++ b/crates/text/src/tests.rs
@@ -181,6 +181,22 @@ fn shrink_on_overflow() {
     assert!(!l.overflow || l.font_scale <= 0.11);
 }
 
+#[test]
+fn shrink_gives_up_at_once_when_even_the_smallest_scale_overflows() {
+    // Found by fuzzing: a tiny box with 20,000 paragraphs and shrink on overflow took 15 s to
+    // open, laying out the whole body 13 times in a search that could never fit.
+    let text = (0..400).map(|i| format!("Line number {i}")).collect::<Vec<_>>().join("\n");
+    let (p, sh) = setup(&text, 100.0, 20.0);
+    crate::LAYOUT_PASSES.with(|n| n.set(0));
+    let l = lay(&p, &sh, 100.0, 20.0);
+    assert!(l.overflow && l.font_scale <= 0.11, "scale {}", l.font_scale);
+    assert!(crate::LAYOUT_PASSES.with(|n| n.get()) <= 2, "{} passes", crate::LAYOUT_PASSES.with(|n| n.get()));
+    // Text that fits somewhere in the range still gets the search.
+    let (p, sh) = setup(&(0..12).map(|i| format!("Line number {i}")).collect::<Vec<_>>().join("\n"), 600.0, 200.0);
+    let l = lay(&p, &sh, 600.0, 200.0);
+    assert!(l.font_scale > 0.11 && l.font_scale < 1.0 && !l.overflow, "scale {} overflow {}", l.font_scale, l.overflow);
+}
+
 #[test]
 fn caret_and_hit_roundtrip() {
     let (p, sh) = setup("Hello world", 600.0, 100.0);