From 11350872ff9d0dd3b31b42606c303b66ea988f26 Mon Sep 17 00:00:00 2001
From: Charles Kawczynski <kawczynski.charles@gmail.com>
Date: Thu, 27 Jul 2023 11:28:33 -0700
Subject: [PATCH] Use cached variables more

---
 src/Geometry/conversions.jl | 8 ++------
 1 file changed, 2 insertions(+), 6 deletions(-)

diff --git a/src/Geometry/conversions.jl b/src/Geometry/conversions.jl
index 7de85e24b8..a6667370ea 100644
--- a/src/Geometry/conversions.jl
+++ b/src/Geometry/conversions.jl
@@ -362,9 +362,7 @@ for op in (:transform, :project)
             local_geometry::LocalGeometry,
         ) = $op(
             ax,
-            local_geometry.∂x∂ξ' *
-            local_geometry.∂x∂ξ *
-            $op(dual(axes(local_geometry.∂x∂ξ, 2)), v),
+            local_geometry.gᵢⱼ * $op(dual(axes(local_geometry.∂x∂ξ, 2)), v),
         )
 
         $op(ato::CovariantAxis, v::CovariantTensor, ::LocalGeometry) =
@@ -383,9 +381,7 @@ transform(
     local_geometry::LocalGeometry,
 ) = project(
     ax,
-    local_geometry.∂ξ∂x *
-    local_geometry.∂ξ∂x' *
-    project(dual(axes(local_geometry.∂ξ∂x, 1)), v),
+    local_geometry.gⁱʲ * project(dual(axes(local_geometry.∂ξ∂x, 1)), v),
 )
 
 @generated function project(