diff --git a/arbor/cable_cell_param.cpp b/arbor/cable_cell_param.cpp
index 6ade3d643516b3239333808cc0e4e7b027615578..417229bb7e296fabe9b93f8ccc05b76fbf3d5508 100644
--- a/arbor/cable_cell_param.cpp
+++ b/arbor/cable_cell_param.cpp
@@ -8,6 +8,8 @@
 #include <arbor/morph/locset.hpp>
 
 #include "util/maputil.hpp"
+#include "util/rangeutil.hpp"
+#include "util/span.hpp"
 
 namespace arb {
 
@@ -104,6 +106,7 @@ locset cv_policy_max_extent::cv_boundary_points(const cable_cell& cell) const {
         ++bidx;
     }
 
+    util::sort(points);
     return points;
 }
 
@@ -136,6 +139,7 @@ locset cv_policy_fixed_per_branch::cv_boundary_points(const cable_cell& cell) co
         ++bidx;
     }
 
+    util::sort(points);
     return points;
 }
 
@@ -143,31 +147,33 @@ locset cv_policy_every_sample::cv_boundary_points(const cable_cell& cell) const
     const unsigned nbranch = cell.morphology().num_branches();
     if (!nbranch) return ls::nil();
 
+    bool single_root = cell.morphology().spherical_root() || (flags_&cv_policy_flag::single_root_cv);
+
     // Ignore interior_forks flag, but if single_root_cv is set, take sample indices only from branches 1+.
     // Always include branch proximal points, so that forks are trivial.
 
-    std::vector<locset> points;
 
-    if (flags_&cv_policy_flag::single_root_cv) {
-        points.push_back(mlocation{0, 0.});
-        points.push_back(mlocation{0, 1.});
+    if (single_root) {
+        std::vector<msize_t> samples;
         for (unsigned i = 1; i<nbranch; ++i) {
-            points.push_back(mlocation{i, 0.});
-            for (msize_t sample_idx: util::make_range(cell.morphology().branch_indexes(i))) {
-                points.push_back(ls::sample(sample_idx));
-            }
+            util::append(samples, util::make_range(cell.morphology().branch_indexes(i)));
         }
+        util::sort(samples);
+        samples.erase(std::unique(samples.begin(), samples.end()), samples.end());
+
+        return join(
+            ls::on_branches(0.),
+            ls::location(0, 1.),
+            std::accumulate(samples.begin(), samples.end(), ls::nil(),
+                            [](auto&& l, auto&& r) { return sum(std::move(l), ls::sample(r)); }));
     }
     else {
-        for (unsigned i = 0; i<nbranch; ++i) {
-            points.push_back(mlocation{i, 0.});
-            for (msize_t sample_idx: util::make_range(cell.morphology().branch_indexes(i))) {
-                points.push_back(ls::sample(sample_idx));
-            }
-        }
+        auto samples = util::make_span(cell.morphology().num_samples());
+        return join(
+            ls::on_branches(0.),
+            std::accumulate(samples.begin(), samples.end(), ls::nil(),
+                            [](auto&& l, auto&& r) { return sum(std::move(l), ls::sample(r)); }));
     }
-
-    return std::accumulate(points.begin(), points.end(), ls::nil(), [](auto& l, auto& p) { return join(l, p); });
 }
 
 } // namespace arb
diff --git a/arbor/fvm_layout.cpp b/arbor/fvm_layout.cpp
index 56068d6510d32144d8d4a4827d69a7035619e5c1..9ca781a205f3cb02173207b517f4c53aa84eecd6 100644
--- a/arbor/fvm_layout.cpp
+++ b/arbor/fvm_layout.cpp
@@ -149,7 +149,6 @@ cv_geometry cv_geometry_from_ends(const cable_cell& cell, const locset& lset) {
     next_cv_head.push_back({mnpos, 0});
 
     mcable_list cables, all_cables;
-    mlocation_list ends;
     std::vector<msize_t> branches;
 
     mlocation_map head_count;
diff --git a/arbor/include/arbor/morph/locset.hpp b/arbor/include/arbor/morph/locset.hpp
index 3429717526f9a75a4a1c10de62bb2342bf8b1f43..24d9217efb7664d43ae60750fa923fb1cddbed89 100644
--- a/arbor/include/arbor/morph/locset.hpp
+++ b/arbor/include/arbor/morph/locset.hpp
@@ -34,6 +34,8 @@ public:
     locset(const locset& other):
         impl_(other.impl_->clone()) {}
 
+    locset& operator=(locset&& other) = default;
+
     locset& operator=(const locset& other) {
         impl_ = other.impl_->clone();
         return *this;
@@ -44,7 +46,7 @@ public:
 
     // Implicity convert mlocation and mlocation_lists to locsets.
     locset(mlocation other);
-    locset(const mlocation_list& other);
+    locset(mlocation_list other);
 
     // Implicitly convert string to named locset expression.
     locset(std::string label);
@@ -57,12 +59,6 @@ public:
         return *this;
     }
 
-    template <typename Impl>
-    locset& operator=(const Impl& other) {
-        impl_ = new wrap<Impl>(other);
-        return *this;
-    }
-
     friend mlocation_list thingify(const locset& p, const mprovider& m) {
         return p.impl_->thingify(m);
     }
@@ -121,6 +117,7 @@ private:
 class region;
 
 namespace ls {
+
 // Explicit location on morphology.
 locset location(msize_t branch, double pos);
 
@@ -139,10 +136,10 @@ locset named(std::string);
 // The null (empty) set.
 locset nil();
 
-// Most distal points of a region
+// Most distal points of a region.
 locset most_distal(region reg);
 
-// Most proximal point of a region
+// Most proximal point of a region.
 locset most_proximal(region reg);
 
 // A range `left` to `right` of randomly selected locations with a
@@ -154,9 +151,9 @@ locset on_branches(double pos);
 
 } // namespace ls
 
-// union of two locsets
+// Union of two locsets.
 locset join(locset, locset);
-// multiset sum of two locsets
+// Multiset sum of two locsets.
 locset sum(locset, locset);
 
 } // namespace arb
diff --git a/arbor/morph/locset.cpp b/arbor/morph/locset.cpp
index 19b50d84e20745ee7ff2acedba3d7ddf2c7bb54a..e9acaef7675baa63d515661d5767fe5f62c33950 100644
--- a/arbor/morph/locset.cpp
+++ b/arbor/morph/locset.cpp
@@ -68,6 +68,32 @@ std::ostream& operator<<(std::ostream& o, const location_& x) {
     return o << "(location " << x.loc.branch << " " << x.loc.pos << ")";
 }
 
+// Wrap mlocation_list (not part of public API).
+
+struct location_list_: locset_tag {
+    explicit location_list_(mlocation_list ll): ll(std::move(ll)) {}
+    mlocation_list ll;
+};
+
+locset location_list(mlocation_list ll) {
+    return locset{location_list_{std::move(ll)}};
+}
+
+mlocation_list thingify_(const location_list_& x, const mprovider& p) {
+    auto n_branch = p.morphology().num_branches();
+    for (mlocation loc: x.ll) {
+        if (loc.branch>=n_branch) {
+            throw no_such_branch(loc.branch);
+        }
+    }
+    return x.ll;
+}
+
+std::ostream& operator<<(std::ostream& o, const location_list_& x) {
+    o << "(sum";
+    for (mlocation loc: x.ll) { o << ' ' << location_(loc); }
+    return o << ')';
+}
 
 // Location corresponding to a sample id.
 
@@ -362,9 +388,8 @@ locset::locset(mlocation loc) {
     *this = ls::location(loc.branch, loc.pos);
 }
 
-locset::locset(const mlocation_list& ll) {
-    *this = std::accumulate(ll.begin(), ll.end(), ls::nil(),
-        [](auto& ls, auto& p) { return sum(ls, locset(p)); });
+locset::locset(mlocation_list ll) {
+    *this = ls::location_list(std::move(ll));
 }
 
 locset::locset(std::string name) {
diff --git a/test/ubench/CMakeLists.txt b/test/ubench/CMakeLists.txt
index bfc4805ad7f831d819d1955163ffe5cadd377615..17fc59a8c6c05318a016413e76685bf3b78ccce4 100644
--- a/test/ubench/CMakeLists.txt
+++ b/test/ubench/CMakeLists.txt
@@ -7,6 +7,7 @@ set(bench_sources
     default_construct.cpp
     event_setup.cpp
     event_binning.cpp
+    fvm_discretize.cpp
     #    mech_vec.cpp --- requires rework for new API.
     task_system.cpp
 )
@@ -26,6 +27,7 @@ foreach(bench_src ${bench_sources})
 
     target_link_libraries(${bench_exe} arbor arbor-private-headers ext-benchmark)
     target_compile_options(${bench_exe} PRIVATE ${ARB_CXXOPT_ARCH})
+    target_compile_definitions(${bench_exe} PRIVATE "-DDATADIR=\"${CMAKE_CURRENT_SOURCE_DIR}/swc\"")
     list(APPEND bench_exe_list ${bench_exe})
 endforeach()
 
diff --git a/test/ubench/fvm_discretize.cpp b/test/ubench/fvm_discretize.cpp
new file mode 100644
index 0000000000000000000000000000000000000000..42a39b05c3f8fb9744590ceef0f3b2c0baa57667
--- /dev/null
+++ b/test/ubench/fvm_discretize.cpp
@@ -0,0 +1,82 @@
+// Discretization can be too slow: use benchmark infrastrucure to hone in
+// on the issue.
+
+#include <fstream>
+
+#include <arbor/cable_cell.hpp>
+#include <arbor/morph/morphology.hpp>
+#include <arbor/swcio.hpp>
+#include <benchmark/benchmark.h>
+
+#include "event_queue.hpp"
+#include "fvm_layout.hpp"
+
+#ifndef DATADIR
+#define DATADIR "."
+#endif
+
+#undef SWCFILE
+#define SWCFILE DATADIR "/motoneuron.swc"
+
+using namespace arb;
+
+arb::morphology from_swc(const std::string& path) {
+    std::ifstream in(path);
+    if (!in) throw std::runtime_error("could not open "+path);
+
+    return morphology(swc_as_sample_tree(parse_swc_file(in)));
+}
+
+void run_cv_geom(benchmark::State& state) {
+    auto gdflt = neuron_parameter_defaults;
+    const std::size_t ncv_per_branch = state.range(0);
+
+    cable_cell c(from_swc(SWCFILE));
+    auto ends = cv_policy_fixed_per_branch(ncv_per_branch).cv_boundary_points(c);
+
+    while (state.KeepRunning()) {
+        benchmark::DoNotOptimize(cv_geometry_from_ends(c, ends));
+    }
+}
+
+void run_cv_geom_every_sample(benchmark::State& state) {
+    auto gdflt = neuron_parameter_defaults;
+
+    cable_cell c(from_swc(SWCFILE));
+    auto ends = cv_policy_every_sample().cv_boundary_points(c);
+
+    while (state.KeepRunning()) {
+        benchmark::DoNotOptimize(cv_geometry_from_ends(c, ends));
+    }
+}
+
+void run_discretize(benchmark::State& state) {
+    auto gdflt = neuron_parameter_defaults;
+    const std::size_t ncv_per_branch = state.range(0);
+
+    cable_cell c(from_swc(SWCFILE));
+    c.default_parameters.discretization = cv_policy_fixed_per_branch(ncv_per_branch);
+
+    while (state.KeepRunning()) {
+        benchmark::DoNotOptimize(fvm_cv_discretize(c, gdflt));
+    }
+}
+
+void run_discretize_every_sample(benchmark::State& state) {
+    auto gdflt = neuron_parameter_defaults;
+
+    cable_cell c(from_swc(SWCFILE));
+    c.default_parameters.discretization = cv_policy_every_sample();
+
+    while (state.KeepRunning()) {
+        benchmark::DoNotOptimize(fvm_cv_discretize(c, gdflt));
+    }
+}
+
+BENCHMARK(run_cv_geom)->RangeMultiplier(2)->Range(1,32)->Unit(benchmark::kMicrosecond);
+BENCHMARK(run_discretize)->RangeMultiplier(2)->Range(1,32)->Unit(benchmark::kMicrosecond);
+
+BENCHMARK(run_cv_geom_every_sample)->Unit(benchmark::kMillisecond);
+BENCHMARK(run_discretize_every_sample)->Unit(benchmark::kMillisecond);
+
+BENCHMARK_MAIN();
diff --git a/test/ubench/swc/motoneuron.swc b/test/ubench/swc/motoneuron.swc
new file mode 100644
index 0000000000000000000000000000000000000000..3a603fb46635bf4ae65422f9f7d5440d734fc867
--- /dev/null
+++ b/test/ubench/swc/motoneuron.swc
@@ -0,0 +1,5361 @@
+# lmorpho generated morphology
+# index: 0
+1 1 0 0 0 27.78132 -1
+2 5 -8.005628 -26.58965 -0.8380175 2.72274 1
+3 5 -15.20977 -50.51728 -1.592137 2.707115 2
+4 3 -14.30765 -74.35408 -9.074996 2.764649 3
+5 3 -11.82835 -98.24245 -16.01755 2.749024 4
+6 3 -10.59728 -122.5322 -21.80483 2.733399 5
+7 3 -8.19685 -147.1452 -25.47074 2.717774 6
+8 3 -4.099196 -171.8069 -25.38903 2.702149 7
+9 3 -0.2013425 -196.501 -25.29894 2.686524 8
+10 3 4.330195 -221.0864 -25.45421 2.670899 9
+11 3 8.562059 -245.7252 -25.59616 2.655274 10
+12 3 8.400821 -270.708 -26.51114 2.639649 11
+13 3 8.195859 -295.7046 -26.86396 2.624024 12
+14 3 6.095007 -320.4507 -23.99736 2.608399 13
+15 3 1.997022 -344.6104 -19.0457 2.592774 14
+16 3 1.786694 -368.8507 -12.93337 2.577149 15
+17 3 1.800701 -392.6627 -5.318171 2.561524 16
+18 3 2.610013 -416.5846 1.89882 2.545899 17
+19 5 1.917773 -440.1489 10.22026 2.530274 18
+20 3 18.84168 -458.3204 7.325956 0.7899355 19
+21 5 34.27143 -477.4462 2.729641 0.7743105 20
+22 3 56.33505 -489.1737 3.54312 0.5017721 21
+23 3 78.16234 -501.2504 5.193442 0.4861471 22
+24 3 100.6854 -512.0446 6.2881 0.4705221 23
+25 3 123.2443 -522.7548 7.465835 0.4548971 24
+26 3 146.2549 -532.5207 7.093625 0.4392721 25
+27 3 168.9027 -543.083 6.375316 0.4236471 26
+28 3 191.6989 -553.2667 5.099897 0.4080221 27
+29 3 215.2715 -561.485 3.763014 0.3923971 28
+30 6 238.4105 -570.8323 2.274439 0.3767721 29
+31 3 47.25807 -495.0486 -9.374175 0.5660255 21
+32 3 59.87715 -513.2047 -21.04111 0.5504005 31
+33 3 70.88382 -532.5291 -32.46123 0.5347755 32
+34 3 83.55537 -550.3626 -44.56075 0.5191505 33
+35 3 96.93381 -567.8227 -56.44197 0.5035255 34
+36 3 107.7598 -586.363 -69.25042 0.4879005 35
+37 3 118.3124 -602.6406 -85.02004 0.4722755 36
+38 3 129.886 -617.3783 -101.5685 0.4566505 37
+39 3 142.2522 -631.7305 -117.8808 0.4410255 38
+40 3 154.8663 -648.4238 -131.5636 0.4254005 39
+41 3 165.7019 -666.7892 -144.6135 0.4097755 40
+42 3 178.2746 -684.5862 -156.8689 0.3941505 41
+43 3 190.7368 -703.4621 -167.5176 0.3785255 42
+44 3 203.586 -722.2417 -177.8726 0.3629005 43
+45 3 215.9339 -742.249 -186.3719 0.3472755 44
+46 6 228.8649 -761.7096 -195.2642 0.3316505 45
+47 5 -8.237046 -461.7376 17.69054 1.685115 19
+48 3 -12.73719 -483.5419 6.318548 0.9485376 47
+49 3 -17.00858 -504.042 -7.33807 0.9329126 48
+50 3 -20.67333 -525.0242 -20.42678 0.9172876 49
+51 3 -23.04729 -546.2414 -33.43425 0.9016626 50
+52 3 -25.279 -567.3554 -46.63348 0.8860376 51
+53 3 -24.57711 -588.6219 -59.75766 0.8704126 52
+54 3 -23.72236 -609.2354 -73.8769 0.8547876 53
+55 3 -22.85159 -629.8259 -88.02867 0.8391626 54
+56 3 -21.70843 -649.7835 -103.0416 0.8235376 55
+57 3 -21.49371 -670.0306 -117.7048 0.8079126 56
+58 3 -20.87468 -690.5838 -131.9239 0.7922876 57
+59 3 -19.1013 -711.7935 -145.0388 0.7766626 58
+60 3 -16.94201 -732.7644 -158.476 0.7610376 59
+61 3 -15.33227 -752.7467 -173.4132 0.7454126 60
+62 3 -12.34993 -773.4305 -187.135 0.7297876 61
+63 3 -9.828755 -794.0926 -200.9813 0.7141626 62
+64 3 -9.153081 -814.7317 -215.0728 0.6985376 63
+65 3 -7.676795 -834.9249 -229.7376 0.6829126 64
+66 3 -5.573111 -856.4569 -242.2654 0.6672876 65
+67 3 -3.655313 -877.7266 -255.2623 0.6516626 66
+68 3 -1.801176 -898.7246 -268.7029 0.6360376 67
+69 3 1.250243 -919.025 -282.971 0.6204126 68
+70 3 1.502585 -937.9231 -299.3357 0.6047876 69
+71 3 0.9702032 -956.1522 -316.4358 0.5891626 70
+72 3 -3.536008 -972.8924 -334.4486 0.5735376 71
+73 3 -6.67466 -990.0644 -352.3447 0.5579126 72
+74 3 -7.174548 -1006.315 -371.3362 0.5422876 73
+75 3 -7.243269 -1022.865 -390.0736 0.5266626 74
+76 3 -8.919225 -1041.311 -406.8641 0.5110376 75
+77 3 -8.708427 -1057.87 -425.5926 0.4954126 76
+78 3 -7.883597 -1073.238 -445.2942 0.4797876 77
+79 3 -8.939797 -1087.861 -465.544 0.4641626 78
+80 3 -7.916758 -1103.895 -484.6975 0.4485376 79
+81 3 -3.51509 -1120.131 -503.1909 0.4329126 80
+82 3 -1.775626 -1135.676 -522.6934 0.4172876 81
+83 3 2.034063 -1150.328 -542.588 0.4016626 82
+84 3 6.280809 -1164.914 -562.4432 0.3860376 83
+85 3 8.648248 -1179.302 -582.7504 0.3704126 84
+86 5 9.087328 -1192.98 -603.672 0.3547876 85
+87 3 12.73544 -1203.956 -625.8353 0.1997361 86
+88 3 16.21984 -1214.013 -648.4564 0.1841111 87
+89 3 19.74008 -1224.063 -671.075 0.1684861 88
+90 6 20.79263 -1231.901 -694.7912 0.1528611 89
+91 6 3.88559 -1203.479 -625.7562 0.2705751 86
+92 3 -18.38736 -481.0196 29.9452 1.157349 47
+93 3 -30.12663 -500.3535 40.59367 1.141724 92
+94 3 -41.66922 -520.6008 49.63897 1.126099 93
+95 3 -52.72573 -541.1563 58.59582 1.110474 94
+96 3 -62.46151 -561.9886 68.40533 1.094849 95
+97 5 -73.58523 -582.7269 76.84269 1.079224 96
+98 3 -85.34893 -604.1116 82.25628 0.5913155 97
+99 3 -99.01838 -624.4913 87.03268 0.5756905 98
+100 3 -112.5459 -644.8201 92.39441 0.5600655 99
+101 3 -125.6515 -664.9215 99.40686 0.5444405 100
+102 3 -139.4703 -684.8562 105.4608 0.5288155 101
+103 3 -154.8802 -703.6796 111.2242 0.5131905 102
+104 3 -170.9924 -722.1218 116.2522 0.4975655 103
+105 3 -185.5438 -741.3606 122.8191 0.4819405 104
+106 3 -200.0744 -760.7807 128.8789 0.4663155 105
+107 3 -215.028 -779.8593 134.9941 0.4506905 106
+108 3 -229.9373 -798.9167 141.2814 0.4350655 107
+109 3 -246.7564 -816.9142 145.5485 0.4194405 108
+110 3 -263.9902 -834.6319 149.3007 0.4038155 109
+111 3 -281.4694 -852.1791 152.7023 0.3881905 110
+112 3 -298.9462 -869.9325 154.7955 0.3725655 111
+113 3 -314.1844 -889.6049 152.3882 0.3569405 112
+114 3 -330.0119 -908.5927 148.6529 0.3413155 113
+115 3 -347.687 -926.1666 146.7168 0.3256905 114
+116 3 -365.1333 -944.0662 147.1953 0.3100655 115
+117 3 -380.3458 -963.8703 146.0196 0.2944405 116
+118 3 -395.3816 -983.8319 145.3426 0.2788155 117
+119 3 -410.2555 -1003.826 147.3434 0.2631905 118
+120 3 -424.9141 -1023.938 149.7125 0.2475655 119
+121 6 -439.2434 -1044.018 153.7725 0.2319405 120
+122 3 -81.59643 -599.2479 93.80961 0.5996405 97
+123 3 -87.27661 -616.3031 111.1836 0.5840155 122
+124 3 -90.17149 -634.9004 127.6384 0.5683905 123
+125 3 -97.90915 -650.82 145.2932 0.5527655 124
+126 3 -107.4901 -663.6729 164.4768 0.5371405 125
+127 3 -117.6695 -678.6649 181.6994 0.5215155 126
+128 3 -125.027 -694.5308 199.5639 0.5058905 127
+129 3 -131.3374 -710.5367 217.702 0.4902655 128
+130 3 -138.448 -726.4425 235.6309 0.4746405 129
+131 3 -145.3032 -740.2052 255.3437 0.4590155 130
+132 3 -151.7595 -755.497 274.038 0.4433905 131
+133 3 -158.7536 -771.4554 291.966 0.4277655 132
+134 3 -166.3968 -784.9285 311.5889 0.4121405 133
+135 3 -173.9335 -798.4248 331.237 0.3965155 134
+136 6 -183.1403 -808.3097 352.2732 0.3808905 135
+137 5 -33.93292 -58.63871 12.84691 1.403693 3
+138 3 -43.40306 -80.22177 21.18286 1.473021 137
+139 3 -52.90507 -102.2147 28.32578 1.457396 138
+140 3 -62.2345 -123.4657 37.6186 1.441771 139
+141 3 -72.41556 -144.1595 47.26816 1.426146 140
+142 3 -80.60584 -167.3075 51.96827 1.410521 141
+143 5 -88.90616 -190.1844 57.69115 1.394896 142
+144 3 -98.54057 -213.0521 54.65032 0.647279 143
+145 3 -107.8683 -236.1045 52.08555 0.631654 144
+146 3 -116.5395 -259.5525 52.10652 0.616029 145
+147 3 -125.2981 -282.9654 51.74935 0.600404 146
+148 3 -134.4052 -306.2313 50.88015 0.584779 147
+149 3 -142.8156 -329.6451 53.34226 0.569154 148
+150 3 -152.0015 -352.6165 56.93829 0.553529 149
+151 3 -160.1924 -375.7939 61.48989 0.537904 150
+152 3 -167.9102 -399.135 66.03181 0.522279 151
+153 3 -173.982 -422.9475 70.62518 0.506654 152
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