diff --git a/Manifest.toml b/Manifest.toml
index 0a10b8a8..a0c8849b 100644
--- a/Manifest.toml
+++ b/Manifest.toml
@@ -1,5 +1,8 @@
 # This file is machine-generated - editing it directly is not advised
 
+[[Artifacts]]
+uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"
+
 [[Base64]]
 uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
 
@@ -9,6 +12,45 @@ git-tree-sha1 = "61adeb0823084487000600ef8b1c00cc2474cd47"
 uuid = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf"
 version = "1.2.0"
 
+[[ChainRulesCore]]
+deps = ["Compat", "LinearAlgebra", "SparseArrays"]
+git-tree-sha1 = "80ca332f6dcb2508adba68f22f551adb2d00a624"
+uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
+version = "1.15.3"
+
+[[ChangesOfVariables]]
+deps = ["ChainRulesCore", "LinearAlgebra", "Test"]
+git-tree-sha1 = "38f7a08f19d8810338d4f5085211c7dfa5d5bdd8"
+uuid = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0"
+version = "0.1.4"
+
+[[Combinatorics]]
+git-tree-sha1 = "08c8b6831dc00bfea825826be0bc8336fc369860"
+uuid = "861a8166-3701-5b0c-9a16-15d98fcdc6aa"
+version = "1.0.2"
+
+[[Compat]]
+deps = ["Dates", "LinearAlgebra", "UUIDs"]
+git-tree-sha1 = "924cdca592bc16f14d2f7006754a621735280b74"
+uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
+version = "4.1.0"
+
+[[CompilerSupportLibraries_jll]]
+deps = ["Artifacts", "Libdl"]
+uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
+version = "0.5.2+0"
+
+[[DataAPI]]
+git-tree-sha1 = "fb5f5316dd3fd4c5e7c30a24d50643b73e37cd40"
+uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
+version = "1.10.0"
+
+[[DataStructures]]
+deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
+git-tree-sha1 = "d1fff3a548102f48987a52a2e0d114fa97d730f0"
+uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
+version = "0.18.13"
+
 [[Dates]]
 deps = ["Printf"]
 uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"
@@ -17,23 +59,50 @@ uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"
 deps = ["Random", "Serialization", "Sockets"]
 uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"
 
+[[DocStringExtensions]]
+deps = ["LibGit2"]
+git-tree-sha1 = "5158c2b41018c5f7eb1470d558127ac274eca0c9"
+uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
+version = "0.9.1"
+
 [[InteractiveUtils]]
 deps = ["Markdown"]
 uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"
 
+[[InverseFunctions]]
+deps = ["Test"]
+git-tree-sha1 = "b3364212fb5d870f724876ffcd34dd8ec6d98918"
+uuid = "3587e190-3f89-42d0-90ee-14403ec27112"
+version = "0.1.7"
+
+[[IrrationalConstants]]
+git-tree-sha1 = "7fd44fd4ff43fc60815f8e764c0f352b83c49151"
+uuid = "92d709cd-6900-40b7-9082-c6be49f344b6"
+version = "0.1.1"
+
 [[JSON]]
 deps = ["Dates", "Mmap", "Parsers", "Unicode"]
 git-tree-sha1 = "8076680b162ada2a031f707ac7b4953e30667a37"
 uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
 version = "0.21.2"
 
+[[LibGit2]]
+deps = ["Base64", "NetworkOptions", "Printf", "SHA"]
+uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"
+
 [[Libdl]]
 uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"
 
 [[LinearAlgebra]]
-deps = ["Libdl"]
+deps = ["Libdl", "libblastrampoline_jll"]
 uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 
+[[LogExpFunctions]]
+deps = ["ChainRulesCore", "ChangesOfVariables", "DocStringExtensions", "InverseFunctions", "IrrationalConstants", "LinearAlgebra"]
+git-tree-sha1 = "361c2b088575b07946508f135ac556751240091c"
+uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
+version = "0.3.17"
+
 [[Logging]]
 uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
 
@@ -41,9 +110,29 @@ uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
 deps = ["Base64"]
 uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"
 
+[[Missings]]
+deps = ["DataAPI"]
+git-tree-sha1 = "bf210ce90b6c9eed32d25dbcae1ebc565df2687f"
+uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28"
+version = "1.0.2"
+
 [[Mmap]]
 uuid = "a63ad114-7e13-5084-954f-fe012c677804"
 
+[[NetworkOptions]]
+uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
+version = "1.2.0"
+
+[[OpenBLAS_jll]]
+deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"]
+uuid = "4536629a-c528-5b80-bd46-f80d51c5b363"
+version = "0.3.20+0"
+
+[[OrderedCollections]]
+git-tree-sha1 = "85f8e6578bf1f9ee0d11e7bb1b1456435479d47c"
+uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
+version = "1.4.1"
+
 [[Parsers]]
 deps = ["Dates"]
 git-tree-sha1 = "ae4bbcadb2906ccc085cf52ac286dc1377dceccc"
@@ -63,11 +152,12 @@ deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"]
 uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"
 
 [[Random]]
-deps = ["Serialization"]
+deps = ["SHA", "Serialization"]
 uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 
 [[SHA]]
 uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
+version = "0.7.0"
 
 [[Serialization]]
 uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"
@@ -75,6 +165,12 @@ uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"
 [[Sockets]]
 uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
 
+[[SortingAlgorithms]]
+deps = ["DataStructures"]
+git-tree-sha1 = "b3363d7460f7d098ca0912c69b082f75625d7508"
+uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c"
+version = "1.0.1"
+
 [[SparseArrays]]
 deps = ["LinearAlgebra", "Random"]
 uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
@@ -89,6 +185,18 @@ version = "1.0.0"
 deps = ["LinearAlgebra", "SparseArrays"]
 uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
 
+[[StatsAPI]]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "f9af7f195fb13589dd2e2d57fdb401717d2eb1f6"
+uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0"
+version = "1.5.0"
+
+[[StatsBase]]
+deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
+git-tree-sha1 = "d1bf48bfcc554a3761a133fe3a9bb01488e06916"
+uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
+version = "0.33.21"
+
 [[Test]]
 deps = ["InteractiveUtils", "Logging", "Random", "Serialization"]
 uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
@@ -99,3 +207,14 @@ uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"
 
 [[Unicode]]
 uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"
+
+[[UnitTestDesign]]
+deps = ["Combinatorics", "Random"]
+git-tree-sha1 = "68c148902cbe720d5d5d004fcc06ebc57db2fdbe"
+uuid = "239896fa-e45a-40e8-9993-3c434b0bc450"
+version = "0.3.0"
+
+[[libblastrampoline_jll]]
+deps = ["Artifacts", "Libdl", "OpenBLAS_jll"]
+uuid = "8e850b90-86db-534c-a0d3-1478176c7d93"
+version = "5.1.1+0"
diff --git a/Project.toml b/Project.toml
index 82a6a8cc..45f87a19 100644
--- a/Project.toml
+++ b/Project.toml
@@ -14,6 +14,8 @@ Serialization = "9e88b42a-f829-5b0c-bbe9-9e923198166b"
 SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
 StableRNGs = "860ef19b-820b-49d6-a774-d7a799459cd3"
 Statistics = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
+StatsBase = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
+UnitTestDesign = "239896fa-e45a-40e8-9993-3c434b0bc450"
 
 [compat]
 BenchmarkTools = "1"
diff --git a/src/sort/SortBenchmarks.jl b/src/sort/SortBenchmarks.jl
index 77e7bb57..72c7110f 100644
--- a/src/sort/SortBenchmarks.jl
+++ b/src/sort/SortBenchmarks.jl
@@ -4,51 +4,133 @@ include(joinpath(dirname(@__FILE__), "..", "utils", "RandUtils.jl"))
 
 using .RandUtils
 using BenchmarkTools
+using StatsBase: sample
+using UnitTestDesign: all_pairs
+using Base.Order
+using Random
 
-const SUITE = BenchmarkGroup()
-const LIST_SIZE = 50000
-const LISTS = (
-    ("ascending", collect(1:LIST_SIZE)),
-    ("descending", collect(LIST_SIZE:-1:1)),
-    ("ones", ones(LIST_SIZE)),
-    ("random", samerand(LIST_SIZE))
-)
-
-#####################################
-# QuickSort/MergeSort/InsertionSort #
-#####################################
-
-for (group, Alg) in (("quicksort", QuickSort), ("mergesort", MergeSort), ("insertionsort", InsertionSort))
-    g = addgroup!(SUITE, group)
-    for (kind, list) in LISTS
-        ix = collect(1:length(list))
-        g["sort forwards", kind] = @benchmarkable sort($list; alg = $Alg)
-        g["sort reverse", kind] = @benchmarkable sort($list; alg = $Alg, rev = true)
-        g["sortperm forwards", kind] = @benchmarkable sortperm($list; alg = $Alg)
-        g["sortperm reverse", kind] = @benchmarkable sortperm($list; alg = $Alg, rev = true)
-        g["sort! forwards", kind] = @benchmarkable sort!(x; alg = $Alg) setup=(x = copy($list))
-        g["sort! reverse", kind] = @benchmarkable sort!(x; alg = $Alg, rev = true) setup=(x = copy($list))
-        g["sortperm! forwards", kind] = @benchmarkable sortperm!(x, $list; alg = $Alg) setup=(x = copy($ix))
-        g["sortperm! reverse", kind] = @benchmarkable sortperm!(x, $list; alg = $Alg, rev = true) setup=(x = copy($ix))
+SUITE = BenchmarkGroup()
+
+#=
+Benchmarked:
+
+Various bitwidths (1-128)
+Various types (Integer, floating point, char)
+Many input orderings
+Forward and reverse sorting
+Mutating and nonmutating
+partialsort
+sortperm
+lengths 1—6_572_799
+
+Not yet benchmarked:
+
+Nonuniform distributions
+Highly uniform distributions
+Collections of runs (e.g. ascending saw, descending saw)
+Pathological input orders
+Non isbits types
+By and lt orders
+Lengths greater than 6_572_799
+=#
+
+# Ways of constructing an interestingly ordered input vector
+ascending(x, len) = sample(x, len, replace=false, ordered=true)
+descending(x, len) = reverse!(sample(x, len, replace=false, ordered=true))
+unique(f; n, len) = x -> rand(f(x, n), len)
+exchanges(f; n, len) = x -> begin
+    res = f(x, len)
+    for _ in 1:n
+        i, j = rand(eachindex(res), 2)
+        res[i], res[j] = res[j], res[i]
+    end
+    res
+end
+random_prepended(f; n, len) = x -> begin
+    res = f(x, len)
+    for i in firstindex(res):min(lastindex(res), firstindex(res) + n - 1)
+        j = rand(i:lastindex(res))
+        res[i], res[j] = res[j], res[i]
     end
-    for b in values(g)
-        b.params.time_tolerance = 0.30
+    res
+end
+random_appended(f; n, len) = x -> begin
+    res = f(x, len)
+    for i in lastindex(res):-1:max(firstindex(res), lastindex(res) - n + 1)
+        j = rand(firstindex(res):i)
+        res[i], res[j] = res[j], res[i]
     end
+    res
 end
+unmodified(f; n, len) = x -> f(x, len)
 
-############
-# issorted #
-############
+function make!(suite, len, func, partial_target, rev, source, input_order_root, input_order_modifier, n_func)
+    rough_len = len <= lens[length(lens) ÷ 3] ? "small" : len <= lens[length(lens) * 2 ÷ 3] ? "medium" : "large"
+    kwrev = isempty(rev) ? () : (rev=true,)
+    n = min(len, max(1, n_func(len)))
+    sfunc = string(func)
+    if rough_len == "large"
+        input_order_name = "rand"
+        setup = :(rand($source, $len))
+    else
+        if input_order_root == rand && input_order_modifier ∈ [exchanges, random_prepended, random_appended]
+            input_order_modifier = unmodified
+        end
+        if input_order_modifier == unique && n == 1
+            input_order_root = rand
+        end
+        input_order_name = (input_order_modifier == unmodified ? "$input_order_root" : "$input_order_root with $n $input_order_modifier")
+        order = isempty(rev) ? Forward : Reverse
+
+        generator = input_order_modifier(input_order_root; n, len)
+        deck = decks[source]
+        setup = :($generator($deck))
+    end
+
+    ix = if endswith(sfunc, "sortperm!")
+        (randperm(len),)
+    else () end
+
+    partial = if startswith(sfunc, "partial")
+        vals = [1, n, len-n+1, len]
+        lo, hi = extrema(partial_target)
+        ((lo == hi ? vals[lo] : (vals[lo]:vals[hi])),)
+    else () end
+
+    expr = :(@benchmarkable $func($ix..., x, $partial...; $kwrev...) setup=(x = $setup))
+    endswith(sfunc, '!') && push!(expr.args, :(evals = 1))
+
+    suite[len, rough_len, sfunc, input_order_name, rev...] = eval(expr)
+end
 
-g = addgroup!(SUITE, "issorted")
+lens = round.(Int, 1.303483 .^ (1:30) .^ 1.2)
+sources = [Float64, Float32, Float16, Int8, Int16, Int32, Int64, Int128, UInt8, UInt16, UInt32, UInt64, UInt128, 1:10, 1:100, 1:1000, 1:10_000, 1:100_000, Char, Bool]
+decks = Dict([s => sort!(rand(s, 3lens[length(lens) * 2 ÷ 3])) for s in sources])
 
-for (kind, list) in LISTS
-    g["forwards", kind] = @benchmarkable issorted($list)
-    g["reverse", kind] = @benchmarkable issorted($list; rev = true)
+# Axes of the combinatorial combination
+g = addgroup!(SUITE, "quick")
+for (len, func, partial_target, rev, source, input_order_root, n_func) in all_pairs(
+        lens,
+        [sort, sort!, sortperm, partialsort],
+        [1:2, 2:2],
+        [(), ("rev",)],
+        [Float64, Float32, Int16, Int64, Int128, UInt8, UInt32, UInt64, 1:10, 1:10_000],
+        [rand, ascending],
+        [_->4, len->len÷4])
+    make!(g, len, func, partial_target, rev, source, input_order_root, unmodified, n_func)
 end
 
-for b in values(g)
-    b.params.time_tolerance = 0.30
+g = addgroup!(SUITE, "full")
+for (len, func, partial_target, rev, source, input_order_root, input_order_modifier, n_func) in all_pairs(
+        lens,
+        [sort, sort!, sortperm, sortperm!, partialsort, partialsort!, partialsortperm, partialsortperm!, issorted],
+        [1:1, 1:2, 1:3, 1:4, 2:2, 2:3, 2:4, 3:3, 3:4, 4:4],
+        [(), ("rev",)],
+        sources,
+        [rand, ascending, descending],
+        [unmodified, unique, exchanges, random_prepended, random_appended],
+        [_->1, _->4, _->20, len->len÷20, len->len÷4, identity])
+    make!(g, len, func, partial_target, rev, source, input_order_root, input_order_modifier, n_func)
 end
 
 end # module