diff --git a/Project.toml b/Project.toml
index 2c843af..17f3aab 100644
--- a/Project.toml
+++ b/Project.toml
@@ -27,18 +27,5 @@ ChangesOfVariables = "0.1"
 DocStringExtensions = "0.8, 0.9"
 InverseFunctions = "0.1"
 IrrationalConstants = "0.1, 0.2"
+LinearAlgebra = "1.10"
 julia = "1.10"
-
-[extras]
-ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
-ChainRulesTestUtils = "cdddcdb0-9152-4a09-a978-84456f9df70a"
-ChangesOfVariables = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0"
-ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
-FiniteDifferences = "26cc04aa-876d-5657-8c51-4c34ba976000"
-InverseFunctions = "3587e190-3f89-42d0-90ee-14403ec27112"
-OffsetArrays = "6fe1bfb0-de20-5000-8ca7-80f57d26f881"
-Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
-Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
-
-[targets]
-test = ["ChainRulesCore", "ChainRulesTestUtils", "ChangesOfVariables", "FiniteDifferences", "ForwardDiff", "InverseFunctions", "OffsetArrays", "Random", "Test"]
diff --git a/src/logsumexp.jl b/src/logsumexp.jl
index 0540cca..0c655f4 100644
--- a/src/logsumexp.jl
+++ b/src/logsumexp.jl
@@ -114,6 +114,9 @@ _logsumexp_onepass_op((xmax, r)::Tuple{<:Number,<:Number}, x::Number) =
 _logsumexp_onepass_op(x::Number, xmax::Number, r::Number) =
     _logsumexp_onepass_op(promote(x, xmax)..., r)
 function _logsumexp_onepass_op(x::T, xmax::T, r::Number) where {T<:Number}
+    # The following invariants are maintained through the reduction:
+    # `xmax` is the maximum of the elements encountered so far,
+    # ``r = ∑ᵢ exp(xᵢ - xmax)`` over the same elements.
     _xmax, _r = if isnan(x) || isnan(xmax)
         # ensure that `NaN` is propagated correctly for complex numbers
         z = oftype(x, NaN)
@@ -121,14 +124,13 @@ function _logsumexp_onepass_op(x::T, xmax::T, r::Number) where {T<:Number}
     else
         real_x = real(x)
         real_xmax = real(xmax)
-        if real_x > real_xmax
+        if isinf(real_x) && isinf(real_xmax) && (real_x * real_xmax) > 0
+            # handle `x = xmax = ±Inf` correctly, without relying on ForwardDiff.value
+            xmax, r + exp(zero(x - xmax))
+        elseif real_x > real_xmax
             x, (r + one(r)) * exp(xmax - x)
-        elseif real_x < real_xmax
-            xmax, r + exp(x - xmax)
         else
-            # handle `x = xmax = ±Inf` correctly
-            # checking inequalities above instead of equality fixes issue #59
-            xmax, r + exp(zero(x - xmax))
+            xmax, r + exp(x - xmax)
         end
     end
     return _xmax, _r
diff --git a/test/Project.toml b/test/Project.toml
new file mode 100644
index 0000000..fdbcaac
--- /dev/null
+++ b/test/Project.toml
@@ -0,0 +1,13 @@
+[deps]
+Aqua = "4c88cf16-eb10-579e-8560-4a9242c79595"
+ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+ChainRulesTestUtils = "cdddcdb0-9152-4a09-a978-84456f9df70a"
+ChangesOfVariables = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0"
+FiniteDifferences = "26cc04aa-876d-5657-8c51-4c34ba976000"
+ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
+InverseFunctions = "3587e190-3f89-42d0-90ee-14403ec27112"
+JET = "c3a54625-cd67-489e-a8e7-0a5a0ff4e31b"
+LogExpFunctions = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
+OffsetArrays = "6fe1bfb0-de20-5000-8ca7-80f57d26f881"
+Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
+Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
diff --git a/test/runtests.jl b/test/runtests.jl
index b9665e7..27b247f 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -16,3 +16,9 @@ include("basicfuns.jl")
 include("chainrules.jl")
 include("inverse.jl")
 include("with_logabsdet_jacobian.jl")
+
+# QA
+import JET
+JET.report_package("LogExpFunctions")
+import Aqua
+Aqua.test_all(LogExpFunctions)