diff --git a/README.md b/README.md
index bcf23707..72ed6153 100644
--- a/README.md
+++ b/README.md
@@ -39,7 +39,7 @@ heyoka.py is a Python library for the integration of ordinary differential equat
 * the ability to maintain machine precision accuracy over
   tens of billions of timesteps,
 * high-precision zero-cost dense output,
-* accurate event detection,
+* accurate and reliable event detection,
 * batch mode integration to harness the power of modern
   [SIMD](https://en.wikipedia.org/wiki/SIMD) instruction sets,
 * a high-performance implementation of Taylor's method based
diff --git a/doc/index.md b/doc/index.md
index c5b26e76..f762ca32 100644
--- a/doc/index.md
+++ b/doc/index.md
@@ -14,7 +14,7 @@ equations (ODEs) via Taylor's method. Notable features include:
 - the ability to maintain machine precision accuracy over tens of
   billions of timesteps,
 - high-precision zero-cost dense output,
-- accurate event detection,
+- accurate and reliable event detection,
 - batch mode integration to harness the power of modern
   [SIMD](https://en.wikipedia.org/wiki/SIMD) instruction sets,
 - a high-performance implementation of Taylor's method based on