diff --git a/tests/properties.rs b/tests/properties.rs
index 91ec38d..9f04310 100644
--- a/tests/properties.rs
+++ b/tests/properties.rs
@@ -26,7 +26,10 @@ const KEYS: [&str; 8] = ["a", "b", "c", "d", "e", "f", "g", "h"];
 fn history_from(games: &[(usize, usize)]) -> History {
     let mut h = History::builder()
         .convergence(ConvergenceOptions {
-            max_iter: 200,
+            // 200 was not enough: the batched side stopped at the cap with a
+            // step of 3.4e-9, so this test was comparing two truncated fits and
+            // attributing the gap to ingestion order.
+            max_iter: 20_000,
             epsilon: 1e-10,
             ..ConvergenceOptions::default()
         })
@@ -114,14 +117,21 @@ proptest! {
     fn ingestion_order_does_not_change_the_answer(games in pairs()) {
         let batched = {
             let mut h = history_from(&games);
-            let _ = h.converge().unwrap();
+            let report = h.converge().unwrap();
+            prop_assert!(
+                report.converged,
+                "batched side stopped at {} iterations with step {:?}; comparing \
+                 two fits that have not converged measures truncation, not order",
+                report.iterations,
+                report.final_step
+            );
             h
         };
 
         let incremental = {
             let mut h = History::builder()
                 .convergence(ConvergenceOptions {
-                    max_iter: 200,
+                    max_iter: 20_000,
                     epsilon: 1e-10,
                     ..ConvergenceOptions::default()
                 })
@@ -139,7 +149,13 @@ proptest! {
                 .unwrap();
             }
 
-            let _ = h.converge().unwrap();
+            let report = h.converge().unwrap();
+            prop_assert!(
+                report.converged,
+                "incremental side stopped at {} iterations with step {:?}",
+                report.iterations,
+                report.final_step
+            );
             h
         };