diff --git a/emath/src/pos2.rs b/emath/src/pos2.rs
index 5833bb74..09b5c02b 100644
--- a/emath/src/pos2.rs
+++ b/emath/src/pos2.rs
@@ -111,47 +111,57 @@ impl Pos2 {
         }
     }
 
+    #[inline]
     pub fn distance(self, other: Self) -> f32 {
         (self - other).length()
     }
 
+    #[inline]
     pub fn distance_sq(self, other: Self) -> f32 {
         (self - other).length_sq()
     }
 
+    #[inline(always)]
     pub fn floor(self) -> Self {
         pos2(self.x.floor(), self.y.floor())
     }
 
+    #[inline(always)]
     pub fn round(self) -> Self {
         pos2(self.x.round(), self.y.round())
     }
 
+    #[inline(always)]
     pub fn ceil(self) -> Self {
         pos2(self.x.ceil(), self.y.ceil())
     }
 
     /// True if all members are also finite.
+    #[inline(always)]
     pub fn is_finite(self) -> bool {
         self.x.is_finite() && self.y.is_finite()
     }
 
     /// True if any member is NaN.
+    #[inline(always)]
     pub fn any_nan(self) -> bool {
         self.x.is_nan() || self.y.is_nan()
     }
 
     #[must_use]
+    #[inline]
     pub fn min(self, other: Self) -> Self {
         pos2(self.x.min(other.x), self.y.min(other.y))
     }
 
     #[must_use]
+    #[inline]
     pub fn max(self, other: Self) -> Self {
         pos2(self.x.max(other.x), self.y.max(other.y))
     }
 
     #[must_use]
+    #[inline]
     pub fn clamp(self, min: Self, max: Self) -> Self {
         Self {
             x: self.x.clamp(min.x, max.x),
@@ -163,6 +173,7 @@ impl Pos2 {
 impl std::ops::Index<usize> for Pos2 {
     type Output = f32;
 
+    #[inline(always)]
     fn index(&self, index: usize) -> &f32 {
         match index {
             0 => &self.x,
@@ -173,6 +184,7 @@ impl std::ops::Index<usize> for Pos2 {
 }
 
 impl std::ops::IndexMut<usize> for Pos2 {
+    #[inline(always)]
     fn index_mut(&mut self, index: usize) -> &mut f32 {
         match index {
             0 => &mut self.x,
diff --git a/emath/src/vec2.rs b/emath/src/vec2.rs
index 77f9f681..9ce16ea2 100644
--- a/emath/src/vec2.rs
+++ b/emath/src/vec2.rs
@@ -149,53 +149,63 @@ impl Vec2 {
     }
 
     #[must_use]
+    #[inline(always)]
     pub fn floor(self) -> Self {
         vec2(self.x.floor(), self.y.floor())
     }
 
     #[must_use]
+    #[inline(always)]
     pub fn round(self) -> Self {
         vec2(self.x.round(), self.y.round())
     }
 
     #[must_use]
+    #[inline(always)]
     pub fn ceil(self) -> Self {
         vec2(self.x.ceil(), self.y.ceil())
     }
 
     /// True if all members are also finite.
+    #[inline(always)]
     pub fn is_finite(self) -> bool {
         self.x.is_finite() && self.y.is_finite()
     }
 
     /// True if any member is NaN.
+    #[inline(always)]
     pub fn any_nan(self) -> bool {
         self.x.is_nan() || self.y.is_nan()
     }
 
     #[must_use]
+    #[inline]
     pub fn min(self, other: Self) -> Self {
         vec2(self.x.min(other.x), self.y.min(other.y))
     }
 
     #[must_use]
+    #[inline]
     pub fn max(self, other: Self) -> Self {
         vec2(self.x.max(other.x), self.y.max(other.y))
     }
 
     /// Returns the minimum of `self.x` and `self.y`.
     #[must_use]
+    #[inline(always)]
     pub fn min_elem(self) -> f32 {
         self.x.min(self.y)
     }
 
     /// Returns the maximum of `self.x` and `self.y`.
+    #[inline(always)]
     #[must_use]
     pub fn max_elem(self) -> f32 {
         self.x.max(self.y)
     }
 
     #[must_use]
+    #[inline]
     pub fn clamp(self, min: Self, max: Self) -> Self {
         Self {
             x: self.x.clamp(min.x, max.x),
@@ -207,6 +217,7 @@ impl Vec2 {
 impl std::ops::Index<usize> for Vec2 {
     type Output = f32;
 
+    #[inline(always)]
     fn index(&self, index: usize) -> &f32 {
         match index {
             0 => &self.x,
@@ -217,6 +228,7 @@ impl std::ops::Index<usize> for Vec2 {
 }
 
 impl std::ops::IndexMut<usize> for Vec2 {
+    #[inline(always)]
     fn index_mut(&mut self, index: usize) -> &mut f32 {
         match index {
             0 => &mut self.x,
diff --git a/epaint/src/color.rs b/epaint/src/color.rs
index 317081ee..13de4bfe 100644
--- a/epaint/src/color.rs
+++ b/epaint/src/color.rs
@@ -17,12 +17,15 @@ pub struct Color32(pub(crate) [u8; 4]);
 
 impl std::ops::Index<usize> for Color32 {
     type Output = u8;
+
+    #[inline(always)]
     fn index(&self, index: usize) -> &u8 {
         &self.0[index]
     }
 }
 
 impl std::ops::IndexMut<usize> for Color32 {
+    #[inline(always)]
     fn index_mut(&mut self, index: usize) -> &mut u8 {
         &mut self.0[index]
     }
@@ -46,15 +49,18 @@ impl Color32 {
     pub const LIGHT_BLUE: Color32 = Color32::from_rgb(140, 160, 255);
     pub const GOLD: Color32 = Color32::from_rgb(255, 215, 0);
 
+    #[inline(always)]
     pub const fn from_rgb(r: u8, g: u8, b: u8) -> Self {
         Self([r, g, b, 255])
     }
 
+    #[inline(always)]
     pub const fn from_rgb_additive(r: u8, g: u8, b: u8) -> Self {
         Self([r, g, b, 0])
     }
 
     /// From `sRGBA` with premultiplied alpha.
+    #[inline(always)]
     pub const fn from_rgba_premultiplied(r: u8, g: u8, b: u8, a: u8) -> Self {
         Self([r, g, b, a])
     }
@@ -84,10 +90,12 @@ impl Color32 {
         Self([r, g, b, a])
     }
 
+    #[inline(always)]
     pub const fn from_gray(l: u8) -> Self {
         Self([l, l, l, 255])
     }
 
+    #[inline(always)]
     pub const fn from_black_alpha(a: u8) -> Self {
         Self([0, 0, 0, a])
     }
@@ -96,6 +104,7 @@ impl Color32 {
         Rgba::from_white_alpha(linear_f32_from_linear_u8(a)).into()
     }
 
+    #[inline(always)]
     pub const fn from_additive_luminance(l: u8) -> Self {
         Self([l, l, l, 0])
     }
@@ -131,6 +140,7 @@ impl Color32 {
     }
 
     /// Returns an additive version of self
+    #[inline(always)]
     pub fn additive(self) -> Self {
         let [r, g, b, _] = self.to_array();
         Self([r, g, b, 0])
@@ -166,12 +176,15 @@ pub struct Rgba(pub(crate) [f32; 4]);
 
 impl std::ops::Index<usize> for Rgba {
     type Output = f32;
+
+    #[inline(always)]
     fn index(&self, index: usize) -> &f32 {
         &self.0[index]
     }
 }
 
 impl std::ops::IndexMut<usize> for Rgba {
+    #[inline(always)]
     fn index_mut(&mut self, index: usize) -> &mut f32 {
         &mut self.0[index]
     }
@@ -185,14 +198,17 @@ impl Rgba {
     pub const GREEN: Rgba = Rgba::from_rgb(0.0, 1.0, 0.0);
     pub const BLUE: Rgba = Rgba::from_rgb(0.0, 0.0, 1.0);
 
+    #[inline(always)]
     pub const fn from_rgba_premultiplied(r: f32, g: f32, b: f32, a: f32) -> Self {
         Self([r, g, b, a])
     }
 
+    #[inline(always)]
     pub const fn from_rgb(r: f32, g: f32, b: f32) -> Self {
         Self([r, g, b, 1.0])
     }
 
+    #[inline(always)]
     pub const fn from_gray(l: f32) -> Self {
         Self([l, l, l, 1.0])
     }
@@ -204,18 +220,21 @@ impl Rgba {
     }
 
     /// Transparent black
+    #[inline(always)]
     pub fn from_black_alpha(a: f32) -> Self {
         debug_assert!(0.0 <= a && a <= 1.0);
         Self([0.0, 0.0, 0.0, a])
     }
 
     /// Transparent white
+    #[inline(always)]
     pub fn from_white_alpha(a: f32) -> Self {
         debug_assert!(0.0 <= a && a <= 1.0);
         Self([a, a, a, a])
     }
 
     /// Return an additive version of this color (alpha = 0)
+    #[inline(always)]
     pub fn additive(self) -> Self {
         let [r, g, b, _] = self.0;
         Self([r, g, b, 0.0])
@@ -253,6 +272,7 @@ impl Rgba {
     }
 
     /// How perceptually intense (bright) is the color?
+    #[inline]
     pub fn intensity(&self) -> f32 {
         0.3 * self.r() + 0.59 * self.g() + 0.11 * self.b()
     }
@@ -336,10 +356,10 @@ impl std::ops::Mul<Rgba> for f32 {
 impl From<Color32> for Rgba {
     fn from(srgba: Color32) -> Rgba {
         Rgba([
-            linear_f32_from_gamma_u8(srgba[0]),
-            linear_f32_from_gamma_u8(srgba[1]),
-            linear_f32_from_gamma_u8(srgba[2]),
-            linear_f32_from_linear_u8(srgba[3]),
+            linear_f32_from_gamma_u8(srgba.0[0]),
+            linear_f32_from_gamma_u8(srgba.0[1]),
+            linear_f32_from_gamma_u8(srgba.0[2]),
+            linear_f32_from_linear_u8(srgba.0[3]),
         ])
     }
 }
@@ -347,10 +367,10 @@ impl From<Color32> for Rgba {
 impl From<Rgba> for Color32 {
     fn from(rgba: Rgba) -> Color32 {
         Color32([
-            gamma_u8_from_linear_f32(rgba[0]),
-            gamma_u8_from_linear_f32(rgba[1]),
-            gamma_u8_from_linear_f32(rgba[2]),
-            linear_u8_from_linear_f32(rgba[3]),
+            gamma_u8_from_linear_f32(rgba.0[0]),
+            gamma_u8_from_linear_f32(rgba.0[1]),
+            gamma_u8_from_linear_f32(rgba.0[2]),
+            linear_u8_from_linear_f32(rgba.0[3]),
         ])
     }
 }
@@ -366,6 +386,7 @@ pub fn linear_f32_from_gamma_u8(s: u8) -> f32 {
 
 /// linear [0, 255] -> linear [0, 1].
 /// Useful for alpha-channel.
+#[inline(always)]
 pub fn linear_f32_from_linear_u8(a: u8) -> f32 {
     a as f32 / 255.0
 }
@@ -386,6 +407,7 @@ pub fn gamma_u8_from_linear_f32(l: f32) -> u8 {
 
 /// linear [0, 1] -> linear [0, 255] (clamped).
 /// Useful for alpha-channel.
+#[inline(always)]
 pub fn linear_u8_from_linear_f32(a: f32) -> u8 {
     (a * 255.0).round() as u8 // rust does a saturating cast since 1.45
 }
diff --git a/epaint/src/shape.rs b/epaint/src/shape.rs
index de99f8e2..ceceac52 100644
--- a/epaint/src/shape.rs
+++ b/epaint/src/shape.rs
@@ -155,6 +155,7 @@ impl Shape {
         Self::mesh(mesh)
     }
 
+    #[inline(always)]
     pub fn texture_id(&self) -> super::TextureId {
         if let Shape::Mesh(mesh) = self {
             mesh.texture_id
diff --git a/epaint/src/text/fonts.rs b/epaint/src/text/fonts.rs
index 4ffa08d2..f9eb65f4 100644
--- a/epaint/src/text/fonts.rs
+++ b/epaint/src/text/fonts.rs
@@ -359,6 +359,7 @@ impl Fonts {
 impl std::ops::Index<TextStyle> for Fonts {
     type Output = Font;
 
+    #[inline(always)]
     fn index(&self, text_style: TextStyle) -> &Font {
         &self.fonts[&text_style]
     }
diff --git a/epaint/src/text/galley.rs b/epaint/src/text/galley.rs
index 00fa06b7..4ad62920 100644
--- a/epaint/src/text/galley.rs
+++ b/epaint/src/text/galley.rs
@@ -72,30 +72,36 @@ pub struct Row {
 }
 
 impl Row {
+    #[inline]
     pub fn sanity_check(&self) {
         assert!(!self.x_offsets.is_empty());
         assert!(self.x_offsets.len() == self.uv_rects.len() + 1);
     }
 
     /// Excludes the implicit `\n` after the `Row`, if any.
+    #[inline]
     pub fn char_count_excluding_newline(&self) -> usize {
         assert!(!self.x_offsets.is_empty());
         self.x_offsets.len() - 1
     }
 
     /// Includes the implicit `\n` after the `Row`, if any.
+    #[inline]
     pub fn char_count_including_newline(&self) -> usize {
         self.char_count_excluding_newline() + (self.ends_with_newline as usize)
     }
 
+    #[inline]
     pub fn min_x(&self) -> f32 {
         *self.x_offsets.first().unwrap()
     }
 
+    #[inline]
     pub fn max_x(&self) -> f32 {
         *self.x_offsets.last().unwrap()
     }
 
+    #[inline]
     pub fn height(&self) -> f32 {
         self.y_max - self.y_min
     }
@@ -124,6 +130,7 @@ impl Row {
     }
 
     // Move down this much
+    #[inline(always)]
     pub fn translate_y(&mut self, dy: f32) {
         self.y_min += dy;
         self.y_max += dy;
diff --git a/epaint/src/texture_atlas.rs b/epaint/src/texture_atlas.rs
index 6cc6db4a..fbc3dd7b 100644
--- a/epaint/src/texture_atlas.rs
+++ b/epaint/src/texture_atlas.rs
@@ -30,6 +30,7 @@ impl Texture {
 impl std::ops::Index<(usize, usize)> for Texture {
     type Output = u8;
 
+    #[inline]
     fn index(&self, (x, y): (usize, usize)) -> &u8 {
         assert!(x < self.width);
         assert!(y < self.height);
@@ -38,6 +39,7 @@ impl std::ops::Index<(usize, usize)> for Texture {
 }
 
 impl std::ops::IndexMut<(usize, usize)> for Texture {
+    #[inline]
     fn index_mut(&mut self, (x, y): (usize, usize)) -> &mut u8 {
         assert!(x < self.width);
         assert!(y < self.height);