diff --git a/bench/results/density.jsonl b/bench/results/density.jsonl
index 1c1675b15..7d22c69df 100644
--- a/bench/results/density.jsonl
+++ b/bench/results/density.jsonl
@@ -1,109 +1,57 @@
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diff --git a/bench/results/latest.jsonl b/bench/results/latest.jsonl
index 923cd7272..39c36840d 100644
--- a/bench/results/latest.jsonl
+++ b/bench/results/latest.jsonl
@@ -1,655 +1,343 @@
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diff --git a/bench/results/scaling.jsonl b/bench/results/scaling.jsonl
index 374e8451e..fc6245268 100644
--- a/bench/results/scaling.jsonl
+++ b/bench/results/scaling.jsonl
@@ -1,49 +1,25 @@
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+{"case": "dispatch", "size": "s", "arm": "linopy", "dimensions": {"generator": 100, "snapshot": 1000}, "nominal_variables": 100000, "density": 1.0, "io_api": "lp-polars", "sink": "lp", "lp_bytes": 7646573, "phases": {"import": 0.20123999996576458, "build": 0.1973310000030324, "emit": 0.018429124960675836}, "counts": {"columns": 100000, "rows": 1000, "nonzeros": null}, "wall_seconds": 0.21576012496370822, "live_fraction": 1.0, "peak_rss_bytes": 268615680, "threads": 8, "record": "timing", "repeat": 0}
+{"case": "dispatch", "size": "s", "arm": "linopy", "dimensions": {"generator": 100, "snapshot": 1000}, "nominal_variables": 100000, "density": 1.0, "io_api": "lp-polars", "sink": "lp", "lp_bytes": 7646573, "phases": {"import": 0.20049604191444814, "build": 0.19732170808129013, "emit": 0.018359208945184946}, "counts": {"columns": 100000, "rows": 1000, "nonzeros": null}, "wall_seconds": 0.21568091702647507, "live_fraction": 1.0, "peak_rss_bytes": 270843904, "threads": 8, "record": "timing", "repeat": 1}
+{"case": "dispatch", "size": "m", "arm": "lpspec", "dimensions": {"generator": 100, "snapshot": 10000}, "nominal_variables": 1000000, "density": 1.0, "io_api": null, "sink": "lp", "lp_bytes": 76375489, "phases": {"import": 0.10043600003700703, "build": 0.027504042023792863, "emit": 0.08950300002470613, "teardown": 3.358302637934685e-05}, "counts": {"columns": 1000000, "rows": 10000, "nonzeros": 1000000}, "wall_seconds": 0.11704062507487833, "live_fraction": 1.0, "peak_rss_bytes": 428163072, "threads": 8, "record": "timing", "repeat": 0}
+{"case": "dispatch", "size": "m", "arm": "lpspec", "dimensions": {"generator": 100, "snapshot": 10000}, "nominal_variables": 1000000, "density": 1.0, "io_api": null, "sink": "lp", "lp_bytes": 76375489, "phases": {"import": 0.10061787499580532, "build": 0.028076916933059692, "emit": 0.09308454208076, "teardown": 5.249981768429279e-06}, "counts": {"columns": 1000000, "rows": 10000, "nonzeros": 1000000}, "wall_seconds": 0.12116670899558812, "live_fraction": 1.0, "peak_rss_bytes": 427311104, "threads": 8, "record": "timing", "repeat": 1}
+{"case": "dispatch", "size": "m", "arm": "linopy", "dimensions": {"generator": 100, "snapshot": 10000}, "nominal_variables": 1000000, "density": 1.0, "io_api": "lp-polars", "sink": "lp", "lp_bytes": 79375492, "phases": {"import": 0.2050370000069961, "build": 0.20152137498371303, "emit": 0.13215770793613046}, "counts": {"columns": 1000000, "rows": 10000, "nonzeros": null}, "wall_seconds": 0.3336790829198435, "live_fraction": 1.0, "peak_rss_bytes": 591347712, "threads": 8, "record": "timing", "repeat": 0}
+{"case": "dispatch", "size": "m", "arm": "linopy", "dimensions": {"generator": 100, "snapshot": 10000}, "nominal_variables": 1000000, "density": 1.0, "io_api": "lp-polars", "sink": "lp", "lp_bytes": 79375492, "phases": {"import": 0.20073054207023233, "build": 0.1990429579745978, "emit": 0.14141216699499637}, "counts": {"columns": 1000000, "rows": 10000, "nonzeros": null}, "wall_seconds": 0.3404551249695942, "live_fraction": 1.0, "peak_rss_bytes": 575930368, "threads": 8, "record": "timing", "repeat": 1}
+{"case": "dispatch", "size": "l", "arm": "lpspec", "dimensions": {"generator": 100, "snapshot": 100000}, "nominal_variables": 10000000, "density": 1.0, "io_api": null, "sink": "lp", "lp_bytes": 796454817, "phases": {"import": 0.1003951660823077, "build": 0.16768337495159358, "emit": 0.9585582920117304, "teardown": 1.1792057193815708e-05}, "counts": {"columns": 10000000, "rows": 100000, "nonzeros": 10000000}, "wall_seconds": 1.1262534590205178, "live_fraction": 1.0, "peak_rss_bytes": 1586364416, "threads": 8, "record": "timing", "repeat": 0}
+{"case": "dispatch", "size": "l", "arm": "lpspec", "dimensions": {"generator": 100, "snapshot": 100000}, "nominal_variables": 10000000, "density": 1.0, "io_api": null, "sink": "lp", "lp_bytes": 796454817, "phases": {"import": 0.10278425004798919, "build": 0.17832833295688033, "emit": 1.049989458057098, "teardown": 1.2333039194345474e-05}, "counts": {"columns": 10000000, "rows": 100000, "nonzeros": 10000000}, "wall_seconds": 1.2283301240531728, "live_fraction": 1.0, "peak_rss_bytes": 1582497792, "threads": 8, "record": "timing", "repeat": 1}
+{"case": "dispatch", "size": "l", "arm": "linopy", "dimensions": {"generator": 100, "snapshot": 100000}, "nominal_variables": 10000000, "density": 1.0, "io_api": "lp-polars", "sink": "lp", "lp_bytes": 826454820, "phases": {"import": 0.2026642500422895, "build": 0.262890417012386, "emit": 1.6655128749553114}, "counts": {"columns": 10000000, "rows": 100000, "nonzeros": null}, "wall_seconds": 1.9284032919676974, "live_fraction": 1.0, "peak_rss_bytes": 2199322624, "threads": 8, "record": "timing", "repeat": 0}
+{"case": "dispatch", "size": "l", "arm": "linopy", "dimensions": {"generator": 100, "snapshot": 100000}, "nominal_variables": 10000000, "density": 1.0, "io_api": "lp-polars", "sink": "lp", "lp_bytes": 826454820, "phases": {"import": 0.2028417920228094, "build": 0.26644049992319196, "emit": 1.4170047920197248}, "counts": {"columns": 10000000, "rows": 100000, "nonzeros": null}, "wall_seconds": 1.6834452919429168, "live_fraction": 1.0, "peak_rss_bytes": 2151055360, "threads": 8, "record": "timing", "repeat": 1}
+{"case": "dispatch", "size": "xl", "arm": "lpspec", "dimensions": {"generator": 100, "snapshot": 400000}, "nominal_variables": 40000000, "density": 1.0, "io_api": null, "sink": "lp", "lp_bytes": 3285751292, "phases": {"import": 0.10171762492973357, "build": 0.631205709069036, "emit": 4.765833540936001, "teardown": 1.595797948539257e-05}, "counts": {"columns": 40000000, "rows": 400000, "nonzeros": 40000000}, "wall_seconds": 5.397055207984522, "live_fraction": 1.0, "peak_rss_bytes": 5414993920, "threads": 8, "record": "timing", "repeat": 0}
+{"case": "dispatch", "size": "xl", "arm": "lpspec", "dimensions": {"generator": 100, "snapshot": 400000}, "nominal_variables": 40000000, "density": 1.0, "io_api": null, "sink": "lp", "lp_bytes": 3285751292, "phases": {"import": 0.10217316693160683, "build": 0.6078623330686241, "emit": 5.906316332984716, "teardown": 9.625102393329144e-06}, "counts": {"columns": 40000000, "rows": 400000, "nonzeros": 40000000}, "wall_seconds": 6.514188291155733, "live_fraction": 1.0, "peak_rss_bytes": 5418418176, "threads": 8, "record": "timing", "repeat": 1}
+{"case": "dispatch", "size": "xl", "arm": "linopy", "dimensions": {"generator": 100, "snapshot": 400000}, "nominal_variables": 40000000, "density": 1.0, "io_api": "lp-polars", "sink": "lp", "lp_bytes": 3405751295, "phases": {"import": 0.19971650000661612, "build": 0.47652833303436637, "emit": 7.368872457998805}, "counts": {"columns": 40000000, "rows": 400000, "nonzeros": null}, "wall_seconds": 7.845400791033171, "live_fraction": 1.0, "peak_rss_bytes": 8220262400, "threads": 8, "record": "timing", "repeat": 0}
+{"case": "dispatch", "size": "xl", "arm": "linopy", "dimensions": {"generator": 100, "snapshot": 400000}, "nominal_variables": 40000000, "density": 1.0, "io_api": "lp-polars", "sink": "lp", "lp_bytes": 3405751295, "phases": {"import": 0.20392770797479898, "build": 0.47727829206269234, "emit": 6.031111041898839}, "counts": {"columns": 40000000, "rows": 400000, "nonzeros": null}, "wall_seconds": 6.5083893339615315, "live_fraction": 1.0, "peak_rss_bytes": 7984791552, "threads": 8, "record": "timing", "repeat": 1}
+{"case": "dispatch", "size": "2xl", "arm": "lpspec", "dimensions": {"generator": 100, "snapshot": 1200000}, "nominal_variables": 120000000, "density": 1.0, "io_api": null, "sink": "lp", "lp_bytes": 9971142786, "phases": {"import": 0.09995954192709178, "build": 2.0692317920038477, "emit": 18.36785433301702, "teardown": 4.012498538941145e-05}, "counts": {"columns": 120000000, "rows": 1200000, "nonzeros": 120000000}, "wall_seconds": 20.43712625000626, "live_fraction": 1.0, "peak_rss_bytes": 9242738688, "threads": 8, "record": "timing", "repeat": 0}
+{"case": "dispatch", "size": "2xl", "arm": "lpspec", "dimensions": {"generator": 100, "snapshot": 1200000}, "nominal_variables": 120000000, "density": 1.0, "io_api": null, "sink": "lp", "lp_bytes": 9971142786, "phases": {"import": 0.10296466597355902, "build": 2.025357750011608, "emit": 18.87203483399935, "teardown": 2.5499961338937283e-05}, "counts": {"columns": 120000000, "rows": 1200000, "nonzeros": 120000000}, "wall_seconds": 20.897418083972298, "live_fraction": 1.0, "peak_rss_bytes": 12437913600, "threads": 8, "record": "timing", "repeat": 1}
+{"case": "dispatch", "size": "2xl", "arm": "linopy", "dimensions": {"generator": 100, "snapshot": 1200000}, "nominal_variables": 120000000, "density": 1.0, "io_api": "lp-polars", "sink": "lp", "lp_bytes": 10331142789, "phases": {"import": 0.2733117920579389, "build": 1.0531431660056114, "emit": 38.30962029204238}, "counts": {"columns": 120000000, "rows": 1200000, "nonzeros": null}, "wall_seconds": 39.36276345804799, "live_fraction": 1.0, "peak_rss_bytes": 12581044224, "threads": 8, "record": "timing", "repeat": 0}
+{"case": "dispatch", "size": "2xl", "arm": "linopy", "dimensions": {"generator": 100, "snapshot": 1200000}, "nominal_variables": 120000000, "density": 1.0, "io_api": "lp-polars", "sink": "lp", "lp_bytes": 10331142789, "phases": {"import": 0.29569591698236763, "build": 1.0038105410058051, "emit": 36.87760879192501}, "counts": {"columns": 120000000, "rows": 1200000, "nonzeros": null}, "wall_seconds": 37.88141933293082, "live_fraction": 1.0, "peak_rss_bytes": 13624246272, "threads": 8, "record": "timing", "repeat": 1}
diff --git a/docs/benchmarks-scaling.html b/docs/benchmarks-scaling.html
index 2e50f895f..3c846360c 100644
--- a/docs/benchmarks-scaling.html
+++ b/docs/benchmarks-scaling.html
@@ -197,7 +197,7 @@ <h2>The numbers</h2>
 </style>
 
 <script>
-const DATA = {"scaling": {"vars": [10000, 100000, 1000000, 10000000, 40000000, 120000000], "wall": {"polars": [0.015, 0.027, 0.128, 1.123, 5.989, 35.358], "linopy": [0.21, 0.218, 0.34, 1.538, 8.805, 106.226]}, "peak": {"polars": [0.17, 0.212, 0.468, 2.04, 5.978, 8.301], "linopy": [0.214, 0.261, 0.564, 2.134, 7.922, 7.775]}}, "cases": {"dispatch": {"vars": [10000, 100000, 1000000, 10000000], "wall": {"polars": [0.017, 0.022, 0.084, 0.687], "linopy": [0.207, 0.219, 0.374, 1.93]}, "peak": {"polars": [0.168, 0.208, 0.52, 3.127], "linopy": [0.201, 0.229, 0.495, 3.304]}}, "fleet": {"vars": [12000, 120000, 1200000, 12000000], "wall": {"polars": [0.044, 0.057, 0.177, 1.481], "linopy": [0.288, 0.322, 0.578, 3.404]}, "peak": {"polars": [0.174, 0.231, 0.653, 3.764], "linopy": [0.203, 0.246, 0.703, 4.871]}}, "nodal": {"vars": [3000, 30000, 300000, 3000000], "wall": {"polars": [0.017, 0.02, 0.048, 0.491], "linopy": [0.213, 0.232, 0.298, 1.339]}, "peak": {"polars": [0.167, 0.186, 0.333, 1.42], "linopy": [0.202, 0.213, 0.352, 1.709]}}, "profiled": {"vars": [12000, 120000, 1200000, 12000000], "wall": {"polars": [0.022, 0.044, 0.228, 2.843], "linopy": [0.286, 0.281, 0.459, 2.613]}, "peak": {"polars": [0.174, 0.261, 0.836, 4.114], "linopy": [0.205, 0.247, 0.642, 4.73]}}, "sector": {"vars": [1000, 10000, 100000, 1000000], "wall": {"polars": [0.02, 0.025, 0.049, 0.38], "linopy": [0.225, 0.232, 0.333, 1.248]}, "peak": {"polars": [0.168, 0.19, 0.342, 0.946], "linopy": [0.203, 0.22, 0.493, 2.978]}}, "transport": {"vars": [9800, 98000, 980000, 9800000], "wall": {"polars": [0.024, 0.035, 0.142, 1.552], "linopy": [0.243, 0.26, 0.469, 2.61]}, "peak": {"polars": [0.174, 0.221, 0.596, 3.089], "linopy": [0.204, 0.234, 0.565, 3.952]}}}, "caseNames": ["dispatch", "fleet", "nodal", "profiled", "sector", "transport"], "rungs": ["xs", "s", "m", "l"]};
+const DATA = {"scaling": {"vars": [10000, 100000, 1000000, 10000000, 40000000, 120000000], "wall": {"polars": [0.014, 0.025, 0.117, 1.126, 5.397, 20.437], "linopy": [0.201, 0.216, 0.334, 1.683, 6.508, 37.881]}, "peak": {"polars": [0.169, 0.209, 0.427, 1.582, 5.415, 9.243], "linopy": [0.222, 0.269, 0.576, 2.151, 7.985, 12.581]}}, "cases": {"dispatch": {"vars": [10000, 100000, 1000000, 10000000], "wall": {"polars": [0.017, 0.022, 0.076, 0.573], "linopy": [0.199, 0.207, 0.275, 1.029]}, "peak": {"polars": [0.17, 0.204, 0.494, 2.88], "linopy": [0.197, 0.211, 0.372, 1.968]}}, "fleet": {"vars": [12000, 120000, 1200000, 12000000], "wall": {"polars": [0.041, 0.051, 0.142, 1.083], "linopy": [0.281, 0.285, 0.399, 1.62]}, "peak": {"polars": [0.174, 0.223, 0.611, 4.067], "linopy": [0.199, 0.223, 0.538, 3.71]}}, "nodal": {"vars": [3000, 30000, 300000, 3000000], "wall": {"polars": [0.017, 0.02, 0.044, 0.295], "linopy": [0.206, 0.213, 0.259, 0.745]}, "peak": {"polars": [0.169, 0.187, 0.331, 1.323], "linopy": [0.199, 0.205, 0.319, 1.485]}}, "profiled": {"vars": [12000, 120000, 1200000, 12000000], "wall": {"polars": [0.018, 0.033, 0.173, 1.692], "linopy": [0.206, 0.213, 0.309, 1.331]}, "peak": {"polars": [0.176, 0.263, 0.806, 3.926], "linopy": [0.201, 0.227, 0.489, 3.098]}}, "sector": {"vars": [1000, 10000, 100000, 1000000], "wall": {"polars": [0.02, 0.023, 0.043, 0.263], "linopy": [0.212, 0.221, 0.311, 1.169]}, "peak": {"polars": [0.17, 0.186, 0.309, 0.941], "linopy": [0.2, 0.218, 0.48, 2.837]}}, "transport": {"vars": [9800, 98000, 980000, 9800000], "wall": {"polars": [0.023, 0.032, 0.114, 0.978], "linopy": [0.223, 0.235, 0.329, 1.477]}, "peak": {"polars": [0.175, 0.223, 0.565, 2.881], "linopy": [0.2, 0.217, 0.438, 2.612]}}}, "caseNames": ["dispatch", "fleet", "nodal", "profiled", "sector", "transport"], "rungs": ["xs", "s", "m", "l"]};
 
 /* Two categorical slots, validated all-pairs in both modes (worst CVD dE 24.7
    light / 26.8 dark, worst normal-vision 33.6 / 31.8, both clear of the surface
diff --git a/docs/benchmarks.md b/docs/benchmarks.md
index 86f70beed..d6b2415e6 100644
--- a/docs/benchmarks.md
+++ b/docs/benchmarks.md
@@ -43,10 +43,17 @@ while the laptop was doing other work and it inflated `profiled` by 55% —
 enough to turn "level" into "the one case we lose". Best of three, nothing else
 running.
 
-macOS-26.2-arm64-arm-64bit-Mach-O, python 3.13.2, 26 GB · polars 1.43.0 ·
-linopy 0.8.0.post1.dev140+g346943317 (the v1-semantics build, PyPSA/linopy#717)
-· highspy 1.15.1 · numpy 2.5.1. Parity gate: all six cases agree to 0.0e+00
-relative (`fleet` to 4.6e-16) before anything is timed.
+**Measured at `98f382d`, on a clean tree.** Each results file's fingerprint
+carries that hash, so a number on this page can be traced to the code that
+produced it — which is the whole point of committing the files. (`density` and
+`scaling` record it as `98f382d-dirty`: they ran after `latest.jsonl` had been
+rewritten, and that file is tracked. The only modified paths were the earlier
+runs' own output.)
+
+macOS-26.2-arm64-arm-64bit-Mach-O, python 3.13.2, 26 GB · lpspec 0.0.1a55 ·
+polars 1.43.0 · linopy 0.8.0.post1.dev140+g346943317 (the v1-semantics build,
+PyPSA/linopy#717) · highspy 1.15.1 · numpy 2.5.1. Parity gate: all six cases
+agree to 0.0e+00 relative (`fleet` to 4.6e-16) before anything is timed.
 
 *This lane replaced a duckdb engine, and the three-way comparison that decided
 it — speed against a settable memory ceiling — is in
@@ -58,14 +65,14 @@ re-run is a claim with a shelf life.*
 
 ### dispatch — highs sink
 
-Both arms end holding a populated `highspy.Highs` with `run()` never called: lpspec through `build_highs`, linopy through `to_highspy()`. The simplex is the same work whoever filled the model, so timing it would say nothing about the lane that filled it.
+Both arms end holding a populated `highspy.Highs` with `run()` never called: lpspec through `build_highs`, linopy through `to_highspy(set_names=False)`. The simplex is the same work whoever filled the model, so timing it would say nothing about the lane that filled it.
 
 | variables | live | rows | wall: lpspec | wall: linopy | wall | peak: lpspec | peak: linopy | peak | LP |
 |---|---|---|---|---|---|---|---|---|---|
-| 10k | 100% | 100 | 0.02 s | 0.21 s | 0.08x | 0.17 GB | 0.20 GB | 0.83x | — |
-| 100k | 100% | 1k | 0.02 s | 0.22 s | 0.10x | 0.21 GB | 0.23 GB | 0.91x | — |
-| 1M | 100% | 10k | 0.08 s | 0.37 s | 0.23x | 0.52 GB | 0.50 GB | 1.06x | — |
-| 10M | 100% | 100k | 0.69 s | 1.93 s | 0.36x | 3.14 GB | 3.30 GB | 0.95x | — |
+| 10k | 100% | 100 | 0.02 s | 0.20 s | 0.08x | 0.17 GB | 0.20 GB | 0.86x | — |
+| 100k | 100% | 1k | 0.02 s | 0.21 s | 0.10x | 0.20 GB | 0.21 GB | 0.97x | — |
+| 1M | 100% | 10k | 0.08 s | 0.28 s | 0.28x | 0.50 GB | 0.37 GB | 1.34x | — |
+| 10M | 100% | 100k | 0.57 s | 1.03 s | 0.56x | 2.88 GB | 1.97 GB | 1.46x | — |
 
 ### dispatch — lp sink
 
@@ -73,21 +80,21 @@ lpspec writes the LP file, linopy through its `lp-polars` writer.
 
 | variables | live | rows | wall: lpspec | wall: linopy | wall | peak: lpspec | peak: linopy | peak | LP |
 |---|---|---|---|---|---|---|---|---|---|
-| 10k | 100% | 100 | 0.01 s | 0.21 s | 0.07x | 0.17 GB | 0.21 GB | 0.79x | 1 MB |
-| 100k | 100% | 1k | 0.03 s | 0.22 s | 0.13x | 0.21 GB | 0.26 GB | 0.81x | 7 MB |
-| 1M | 100% | 10k | 0.13 s | 0.35 s | 0.37x | 0.47 GB | 0.59 GB | 0.80x | 76 MB |
-| 10M | 100% | 100k | 1.11 s | 1.55 s | 0.72x | 2.02 GB | 2.25 GB | 0.90x | 796 MB |
+| 10k | 100% | 100 | 0.01 s | 0.20 s | 0.07x | 0.17 GB | 0.22 GB | 0.77x | 1 MB |
+| 100k | 100% | 1k | 0.02 s | 0.22 s | 0.11x | 0.21 GB | 0.27 GB | 0.77x | 7 MB |
+| 1M | 100% | 10k | 0.12 s | 0.34 s | 0.35x | 0.42 GB | 0.58 GB | 0.73x | 76 MB |
+| 10M | 100% | 100k | 1.07 s | 1.69 s | 0.63x | 1.59 GB | 2.11 GB | 0.75x | 796 MB |
 
 ### fleet — highs sink
 
-Both arms end holding a populated `highspy.Highs` with `run()` never called: lpspec through `build_highs`, linopy through `to_highspy()`. The simplex is the same work whoever filled the model, so timing it would say nothing about the lane that filled it.
+Both arms end holding a populated `highspy.Highs` with `run()` never called: lpspec through `build_highs`, linopy through `to_highspy(set_names=False)`. The simplex is the same work whoever filled the model, so timing it would say nothing about the lane that filled it.
 
 | variables | live | rows | wall: lpspec | wall: linopy | wall | peak: lpspec | peak: linopy | peak | LP |
 |---|---|---|---|---|---|---|---|---|---|
-| 12k | 100% | 6.02k | 0.04 s | 0.29 s | 0.15x | 0.17 GB | 0.20 GB | 0.86x | — |
-| 120k | 100% | 60.2k | 0.06 s | 0.32 s | 0.18x | 0.23 GB | 0.25 GB | 0.94x | — |
-| 1.2M | 100% | 602k | 0.18 s | 0.58 s | 0.31x | 0.65 GB | 0.70 GB | 0.93x | — |
-| 12M | 100% | 6.02M | 1.48 s | 3.40 s | 0.44x | 4.38 GB | 5.24 GB | 0.84x | — |
+| 12k | 100% | 6.02k | 0.04 s | 0.28 s | 0.15x | 0.17 GB | 0.20 GB | 0.88x | — |
+| 120k | 100% | 60.2k | 0.05 s | 0.29 s | 0.18x | 0.22 GB | 0.22 GB | 1.00x | — |
+| 1.2M | 100% | 602k | 0.14 s | 0.40 s | 0.36x | 0.61 GB | 0.54 GB | 1.14x | — |
+| 12M | 100% | 6.02M | 1.08 s | 1.62 s | 0.67x | 4.07 GB | 3.71 GB | 1.10x | — |
 
 ### fleet — lp sink
 
@@ -95,21 +102,21 @@ lpspec writes the LP file, linopy through its `lp-polars` writer.
 
 | variables | live | rows | wall: lpspec | wall: linopy | wall | peak: lpspec | peak: linopy | peak | LP |
 |---|---|---|---|---|---|---|---|---|---|
-| 12k | 100% | 6.02k | 0.04 s | 0.30 s | 0.14x | 0.18 GB | 0.22 GB | 0.82x | 1 MB |
-| 120k | 100% | 60.2k | 0.06 s | 0.32 s | 0.19x | 0.24 GB | 0.25 GB | 0.98x | 9 MB |
-| 1.2M | 100% | 602k | 0.24 s | 0.47 s | 0.51x | 0.67 GB | 0.45 GB | 1.49x | 89 MB |
-| 12M | 100% | 6.02M | 1.99 s | 1.93 s | 1.03x | 2.78 GB | 1.66 GB | 1.68x | 920 MB |
+| 12k | 100% | 6.02k | 0.04 s | 0.30 s | 0.13x | 0.18 GB | 0.22 GB | 0.79x | 1 MB |
+| 120k | 100% | 60.2k | 0.06 s | 0.31 s | 0.18x | 0.24 GB | 0.26 GB | 0.95x | 9 MB |
+| 1.2M | 100% | 602k | 0.20 s | 0.45 s | 0.43x | 0.64 GB | 0.45 GB | 1.41x | 89 MB |
+| 12M | 100% | 6.02M | 1.75 s | 1.98 s | 0.88x | 2.34 GB | 1.61 GB | 1.46x | 920 MB |
 
 ### nodal — highs sink
 
-Both arms end holding a populated `highspy.Highs` with `run()` never called: lpspec through `build_highs`, linopy through `to_highspy()`. The simplex is the same work whoever filled the model, so timing it would say nothing about the lane that filled it.
+Both arms end holding a populated `highspy.Highs` with `run()` never called: lpspec through `build_highs`, linopy through `to_highspy(set_names=False)`. The simplex is the same work whoever filled the model, so timing it would say nothing about the lane that filled it.
 
 | variables | live | rows | wall: lpspec | wall: linopy | wall | peak: lpspec | peak: linopy | peak | LP |
 |---|---|---|---|---|---|---|---|---|---|
-| 3k | 25% | 1k | 0.02 s | 0.21 s | 0.08x | 0.17 GB | 0.20 GB | 0.83x | — |
-| 30k | 25% | 10k | 0.02 s | 0.23 s | 0.09x | 0.19 GB | 0.21 GB | 0.87x | — |
-| 300k | 25% | 100k | 0.05 s | 0.30 s | 0.16x | 0.34 GB | 0.35 GB | 0.95x | — |
-| 3M | 25% | 1M | 0.49 s | 1.34 s | 0.37x | 1.42 GB | 1.71 GB | 0.83x | — |
+| 3k | 25% | 1k | 0.02 s | 0.21 s | 0.08x | 0.17 GB | 0.20 GB | 0.85x | — |
+| 30k | 25% | 10k | 0.02 s | 0.21 s | 0.10x | 0.19 GB | 0.21 GB | 0.91x | — |
+| 300k | 25% | 100k | 0.04 s | 0.26 s | 0.17x | 0.33 GB | 0.32 GB | 1.04x | — |
+| 3M | 25% | 1M | 0.29 s | 0.74 s | 0.40x | 1.34 GB | 1.49 GB | 0.90x | — |
 
 ### nodal — lp sink
 
@@ -117,21 +124,21 @@ lpspec writes the LP file, linopy through its `lp-polars` writer.
 
 | variables | live | rows | wall: lpspec | wall: linopy | wall | peak: lpspec | peak: linopy | peak | LP |
 |---|---|---|---|---|---|---|---|---|---|
-| 3k | 25% | 1k | 0.02 s | 0.21 s | 0.07x | 0.17 GB | 0.21 GB | 0.79x | 0 MB |
-| 30k | 25% | 10k | 0.02 s | 0.23 s | 0.09x | 0.19 GB | 0.24 GB | 0.81x | 2 MB |
-| 300k | 25% | 100k | 0.07 s | 0.28 s | 0.25x | 0.32 GB | 0.45 GB | 0.71x | 25 MB |
-| 3M | 25% | 1M | 0.63 s | 0.84 s | 0.74x | 1.19 GB | 1.46 GB | 0.82x | 264 MB |
+| 3k | 25% | 1k | 0.01 s | 0.21 s | 0.07x | 0.17 GB | 0.22 GB | 0.76x | 0 MB |
+| 30k | 25% | 10k | 0.02 s | 0.21 s | 0.09x | 0.19 GB | 0.25 GB | 0.77x | 2 MB |
+| 300k | 25% | 100k | 0.06 s | 0.27 s | 0.23x | 0.32 GB | 0.46 GB | 0.70x | 25 MB |
+| 3M | 25% | 1M | 0.49 s | 0.83 s | 0.59x | 1.07 GB | 1.55 GB | 0.69x | 264 MB |
 
 ### profiled — highs sink
 
-Both arms end holding a populated `highspy.Highs` with `run()` never called: lpspec through `build_highs`, linopy through `to_highspy()`. The simplex is the same work whoever filled the model, so timing it would say nothing about the lane that filled it.
+Both arms end holding a populated `highspy.Highs` with `run()` never called: lpspec through `build_highs`, linopy through `to_highspy(set_names=False)`. The simplex is the same work whoever filled the model, so timing it would say nothing about the lane that filled it.
 
 | variables | live | rows | wall: lpspec | wall: linopy | wall | peak: lpspec | peak: linopy | peak | LP |
 |---|---|---|---|---|---|---|---|---|---|
-| 12k | 100% | 1k | 0.02 s | 0.29 s | 0.08x | 0.17 GB | 0.21 GB | 0.85x | — |
-| 120k | 100% | 10k | 0.04 s | 0.28 s | 0.16x | 0.26 GB | 0.25 GB | 1.06x | — |
-| 1.2M | 100% | 100k | 0.23 s | 0.46 s | 0.50x | 0.84 GB | 0.64 GB | 1.30x | — |
-| 12M | 100% | 1M | 2.84 s | 2.61 s | 1.09x | 4.15 GB | 4.73 GB | 0.88x | — |
+| 12k | 100% | 1k | 0.02 s | 0.21 s | 0.09x | 0.18 GB | 0.20 GB | 0.88x | — |
+| 120k | 100% | 10k | 0.03 s | 0.21 s | 0.15x | 0.26 GB | 0.23 GB | 1.16x | — |
+| 1.2M | 100% | 100k | 0.17 s | 0.31 s | 0.56x | 0.83 GB | 0.49 GB | 1.70x | — |
+| 12M | 100% | 1M | 1.69 s | 1.33 s | 1.27x | 3.93 GB | 3.10 GB | 1.27x | — |
 
 ### profiled — lp sink
 
@@ -139,21 +146,21 @@ lpspec writes the LP file, linopy through its `lp-polars` writer.
 
 | variables | live | rows | wall: lpspec | wall: linopy | wall | peak: lpspec | peak: linopy | peak | LP |
 |---|---|---|---|---|---|---|---|---|---|
-| 12k | 100% | 1k | 0.02 s | 0.22 s | 0.09x | 0.18 GB | 0.22 GB | 0.81x | 1 MB |
-| 120k | 100% | 10k | 0.04 s | 0.25 s | 0.17x | 0.26 GB | 0.30 GB | 0.88x | 9 MB |
-| 1.2M | 100% | 100k | 0.33 s | 0.51 s | 0.64x | 0.71 GB | 0.72 GB | 0.99x | 95 MB |
-| 12M | 100% | 1M | 4.48 s | 3.06 s | 1.46x | 3.19 GB | 3.14 GB | 1.02x | 986 MB |
+| 12k | 100% | 1k | 0.02 s | 0.21 s | 0.08x | 0.18 GB | 0.23 GB | 0.78x | 1 MB |
+| 120k | 100% | 10k | 0.04 s | 0.22 s | 0.16x | 0.26 GB | 0.30 GB | 0.87x | 9 MB |
+| 1.2M | 100% | 100k | 0.24 s | 0.38 s | 0.61x | 0.71 GB | 0.69 GB | 1.03x | 95 MB |
+| 12M | 100% | 1M | 2.36 s | 2.20 s | 1.07x | 2.46 GB | 3.12 GB | 0.79x | 986 MB |
 
 ### sector — highs sink
 
-Both arms end holding a populated `highspy.Highs` with `run()` never called: lpspec through `build_highs`, linopy through `to_highspy()`. The simplex is the same work whoever filled the model, so timing it would say nothing about the lane that filled it.
+Both arms end holding a populated `highspy.Highs` with `run()` never called: lpspec through `build_highs`, linopy through `to_highspy(set_names=False)`. The simplex is the same work whoever filled the model, so timing it would say nothing about the lane that filled it.
 
 | variables | live | rows | wall: lpspec | wall: linopy | wall | peak: lpspec | peak: linopy | peak | LP |
 |---|---|---|---|---|---|---|---|---|---|
-| 1k | 6% | 1k | 0.02 s | 0.23 s | 0.09x | 0.17 GB | 0.20 GB | 0.83x | — |
-| 10k | 6% | 10k | 0.02 s | 0.23 s | 0.11x | 0.19 GB | 0.22 GB | 0.86x | — |
-| 100k | 6% | 100k | 0.05 s | 0.33 s | 0.15x | 0.34 GB | 0.49 GB | 0.69x | — |
-| 1M | 6% | 1M | 0.38 s | 1.25 s | 0.30x | 0.95 GB | 2.98 GB | 0.32x | — |
+| 1k | 6% | 1k | 0.02 s | 0.21 s | 0.09x | 0.17 GB | 0.20 GB | 0.85x | — |
+| 10k | 6% | 10k | 0.02 s | 0.22 s | 0.10x | 0.19 GB | 0.22 GB | 0.86x | — |
+| 100k | 6% | 100k | 0.04 s | 0.31 s | 0.14x | 0.31 GB | 0.48 GB | 0.64x | — |
+| 1M | 6% | 1M | 0.26 s | 1.17 s | 0.23x | 0.95 GB | 2.84 GB | 0.34x | — |
 
 ### sector — lp sink
 
@@ -161,21 +168,21 @@ lpspec writes the LP file, linopy through its `lp-polars` writer.
 
 | variables | live | rows | wall: lpspec | wall: linopy | wall | peak: lpspec | peak: linopy | peak | LP |
 |---|---|---|---|---|---|---|---|---|---|
-| 1k | 6% | 1k | 0.02 s | 0.23 s | 0.07x | 0.17 GB | 0.21 GB | 0.79x | 0 MB |
-| 10k | 6% | 10k | 0.02 s | 0.24 s | 0.09x | 0.19 GB | 0.24 GB | 0.79x | 1 MB |
-| 100k | 6% | 100k | 0.07 s | 0.31 s | 0.24x | 0.34 GB | 0.52 GB | 0.65x | 12 MB |
-| 1M | 6% | 1M | 0.62 s | 1.14 s | 0.55x | 0.93 GB | 2.91 GB | 0.32x | 120 MB |
+| 1k | 6% | 1k | 0.02 s | 0.21 s | 0.08x | 0.17 GB | 0.22 GB | 0.77x | 0 MB |
+| 10k | 6% | 10k | 0.02 s | 0.22 s | 0.09x | 0.19 GB | 0.25 GB | 0.75x | 1 MB |
+| 100k | 6% | 100k | 0.05 s | 0.31 s | 0.16x | 0.31 GB | 0.53 GB | 0.59x | 12 MB |
+| 1M | 6% | 1M | 0.35 s | 1.17 s | 0.30x | 0.95 GB | 2.91 GB | 0.33x | 120 MB |
 
 ### transport — highs sink
 
-Both arms end holding a populated `highspy.Highs` with `run()` never called: lpspec through `build_highs`, linopy through `to_highspy()`. The simplex is the same work whoever filled the model, so timing it would say nothing about the lane that filled it.
+Both arms end holding a populated `highspy.Highs` with `run()` never called: lpspec through `build_highs`, linopy through `to_highspy(set_names=False)`. The simplex is the same work whoever filled the model, so timing it would say nothing about the lane that filled it.
 
 | variables | live | rows | wall: lpspec | wall: linopy | wall | peak: lpspec | peak: linopy | peak | LP |
 |---|---|---|---|---|---|---|---|---|---|
-| 9.8k | 100% | 1.4k | 0.02 s | 0.24 s | 0.10x | 0.17 GB | 0.20 GB | 0.85x | — |
-| 98k | 100% | 14k | 0.03 s | 0.26 s | 0.13x | 0.22 GB | 0.23 GB | 0.95x | — |
-| 980k | 100% | 140k | 0.14 s | 0.47 s | 0.30x | 0.60 GB | 0.57 GB | 1.05x | — |
-| 9.8M | 100% | 1.4M | 1.55 s | 2.61 s | 0.59x | 3.14 GB | 3.95 GB | 0.80x | — |
+| 9.8k | 100% | 1.4k | 0.02 s | 0.22 s | 0.10x | 0.18 GB | 0.20 GB | 0.88x | — |
+| 98k | 100% | 14k | 0.03 s | 0.23 s | 0.13x | 0.22 GB | 0.22 GB | 1.03x | — |
+| 980k | 100% | 140k | 0.11 s | 0.33 s | 0.35x | 0.57 GB | 0.44 GB | 1.30x | — |
+| 9.8M | 100% | 1.4M | 0.98 s | 1.48 s | 0.66x | 2.96 GB | 2.63 GB | 1.13x | — |
 
 ### transport — lp sink
 
@@ -183,40 +190,49 @@ lpspec writes the LP file, linopy through its `lp-polars` writer.
 
 | variables | live | rows | wall: lpspec | wall: linopy | wall | peak: lpspec | peak: linopy | peak | LP |
 |---|---|---|---|---|---|---|---|---|---|
-| 9.8k | 100% | 1.4k | 0.02 s | 0.23 s | 0.10x | 0.18 GB | 0.22 GB | 0.81x | 1 MB |
-| 98k | 100% | 14k | 0.04 s | 0.25 s | 0.15x | 0.23 GB | 0.29 GB | 0.81x | 8 MB |
-| 980k | 100% | 140k | 0.27 s | 0.50 s | 0.55x | 0.55 GB | 0.66 GB | 0.84x | 79 MB |
-| 9.8M | 100% | 1.4M | 2.37 s | 2.49 s | 0.95x | 2.20 GB | 1.85 GB | 1.19x | 820 MB |
+| 9.8k | 100% | 1.4k | 0.02 s | 0.23 s | 0.09x | 0.18 GB | 0.23 GB | 0.78x | 1 MB |
+| 98k | 100% | 14k | 0.04 s | 0.24 s | 0.15x | 0.23 GB | 0.29 GB | 0.79x | 8 MB |
+| 980k | 100% | 140k | 0.18 s | 0.39 s | 0.45x | 0.53 GB | 0.66 GB | 0.81x | 79 MB |
+| 9.8M | 100% | 1.4M | 1.66 s | 2.09 s | 0.79x | 1.92 GB | 1.78 GB | 1.08x | 820 MB |
 
 ## What this says
 
-**Ahead on peak on all six models and on wall on five**, at the `l` rung through
-the sink most callers use:
+**Ahead on wall on five of six, on both sinks. Peak depends on which sink you
+use, and through `highs` we are mostly behind.** At the `l` rung:
 
 | | dispatch | fleet | nodal | profiled | sector | transport |
 |---|---|---|---|---|---|---|
-| wall | **0.36x** | **0.44x** | **0.37x** | 1.09x | **0.30x** | **0.59x** |
-| peak | **0.95x** | **0.77x** | **0.83x** | **0.87x** | **0.32x** | **0.78x** |
-
-**`profiled` is the case in the ladder to be lost.** It is level here — 2.84 s
-against 2.61, from a case whose own repeats span 2.33–2.84 s at ~4 GB resident —
-and an unambiguous 1.46x through the LP sink, where no HiGHS copy dilutes it. A
-parameter dense over the whole variable product is the array xarray already
-wants and a full-size join for us. It is in the set on purpose.
-
-**The LP file is the weaker route.** Three numbers are against us there:
-`profiled` 1.46x and `fleet` 1.03x on wall, `fleet` 1.64x and `transport` 1.19x
-on peak. What is left is structural in two ways — most of an LP write is turning
-doubles into text, work neither lane avoids, so the wall ratio compresses toward
-1.00 however fast the build gets; and COO carries a `(row, col, coeff)` triple
-per nonzero where a dense array carries one float, which is `fleet`'s 1.64x.
-The many-declaration shape is the one that shows it, which is why that case
-exists.
+| wall — `highs` | **0.56x** | **0.67x** | **0.40x** | 1.27x | **0.23x** | **0.66x** |
+| peak — `highs` | 1.46x | 1.10x | **0.89x** | 1.27x | **0.33x** | 1.10x |
+| wall — `lp` | **0.63x** | **0.88x** | **0.59x** | 1.07x | **0.30x** | **0.79x** |
+| peak — `lp` | **0.75x** | 1.47x | **0.68x** | **0.80x** | **0.31x** | 1.08x |
+
+**Read the `highs` peak row before quoting anything from this page.** An earlier
+version of these tables had us ahead on peak on all six through that sink. That
+was not a real result: linopy's `to_highspy()` was being timed *with* variable
+naming, which neither of our solver sinks does, and the names are memory as well
+as time — 82% of its hand-off
+([#438](https://github.com/FBumann/lpspec/pull/438)). Both arms now pass
+`set_names=False` and end holding the same artifact, which is what
+`bench/README.md` always claimed was the only reason the two are comparable.
+Corrected, HiGHS's own dense model dominates both arms and our COO triples show
+up as the difference.
+
+**`profiled` is the case in the ladder we lose**, on both sinks — 1.27x and
+1.07x. A parameter dense over the whole variable product is the array xarray
+already wants and a full-size join for us. It is in the set on purpose.
+
+**The LP file is where the representation pays off**, which is the opposite of
+what this page used to say. Ahead on peak on four of six there, including 0.75x
+on `dispatch` and 0.31x on `sector`. Two go against us: `fleet` **1.47x** and
+`transport` 1.08x, and both are structural — COO carries a `(row, col, coeff)`
+triple per nonzero where a dense array carries one float, and the
+many-declaration shape is the one that shows it.
 
 **Sparsity is what separates the peak numbers**, not size. At the same rung
-`sector` is 0.32x of linopy's peak and `dispatch` 0.95x: a coordinate that does
-not exist is an absent row here and a NaN in a dense array there, so the gap
-tracks how much of the coordinate product a model actually uses.
+`sector` is 0.31x of linopy's peak through the LP sink and `dispatch` 0.75x: a
+coordinate that does not exist is an absent row here and a NaN in a dense array
+there, so the gap tracks how much of the coordinate product a model uses.
 
 ### Two costs, and both are real
 
@@ -231,30 +247,30 @@ Build only, repeated in one process. **first** is what a caller pays who builds
 
 | case | vars | lpspec: first | lpspec: steady | linopy: first | linopy: steady | steady vs linopy |
 |---|---|---|---|---|---|
-| transport | 9.8k | 28.8 ms | **13.7 ms** | 289.9 ms | 34.7 ms | 0.39x |
-| dispatch | 10k | 166.1 ms | **5.7 ms** | 449.0 ms | 13.8 ms | 0.41x |
-| profiled | 12k | 14.9 ms | **7.8 ms** | 205.7 ms | 19.4 ms | 0.40x |
-| nodal | 12k | 14.3 ms | **7.1 ms** | 224.0 ms | 19.1 ms | 0.37x |
-| fleet | 12k | 43.8 ms | **32.1 ms** | 293.4 ms | 95.5 ms | 0.34x |
-| sector | 17k | 108.6 ms | **9.4 ms** | 455.4 ms | 23.9 ms | 0.39x |
-| transport | 98k | 24.3 ms | **18.0 ms** | 228.8 ms | 37.7 ms | 0.48x |
-| dispatch | 100k | 15.3 ms | **7.9 ms** | 199.9 ms | 14.3 ms | 0.56x |
-| profiled | 120k | 26.3 ms | **18.0 ms** | 217.5 ms | 21.2 ms | 0.85x |
-| nodal | 120k | 15.1 ms | **8.6 ms** | 211.0 ms | 20.8 ms | 0.41x |
-| fleet | 120k | 44.6 ms | **37.5 ms** | 283.8 ms | 98.1 ms | 0.38x |
-| sector | 170k | 19.7 ms | **12.6 ms** | 221.4 ms | 28.4 ms | 0.44x |
-| transport | 980k | 78.6 ms | **69.4 ms** | 251.6 ms | 62.4 ms | 1.11x |
-| dispatch | 1M | 28.2 ms | **18.3 ms** | 209.0 ms | 21.0 ms | 0.87x |
-| profiled | 1.2M | 150.8 ms | **130.6 ms** | 238.5 ms | 39.1 ms | 3.34x |
-| fleet | 1.2M | 90.4 ms | **78.5 ms** | 294.2 ms | 105.7 ms | 0.74x |
-| nodal | 1.2M | 27.9 ms | **20.5 ms** | 220.5 ms | 30.2 ms | 0.68x |
-| sector | 1.7M | 38.3 ms | **31.7 ms** | 267.1 ms | 62.5 ms | 0.51x |
-| transport | 9.8M | 783.1 ms | **933.5 ms** | 654.9 ms | 406.4 ms | 2.30x |
-| dispatch | 10M | 157.9 ms | **137.0 ms** | 280.1 ms | 85.9 ms | 1.60x |
-| profiled | 12M | 1868.8 ms | **2059.1 ms** | 581.3 ms | 269.3 ms | 7.65x |
-| fleet | 12M | 651.4 ms | **668.9 ms** | 507.5 ms | 206.2 ms | 3.24x |
-| nodal | 12M | 178.0 ms | **182.8 ms** | 410.7 ms | 140.5 ms | 1.30x |
-| sector | 17M | 265.9 ms | **287.9 ms** | 878.9 ms | 573.9 ms | 0.50x |
+| transport | 9.8k | 17.1 ms | **12.6 ms** | 218.0 ms | 33.8 ms | 0.37x |
+| dispatch | 10k | 10.3 ms | **5.9 ms** | 195.6 ms | 12.8 ms | 0.46x |
+| profiled | 12k | 12.3 ms | **7.6 ms** | 197.3 ms | 17.9 ms | 0.42x |
+| fleet | 12k | 35.1 ms | **29.2 ms** | 265.2 ms | 87.2 ms | 0.34x |
+| nodal | 12k | 11.7 ms | **7.0 ms** | 199.0 ms | 18.2 ms | 0.38x |
+| sector | 17k | 13.6 ms | **9.0 ms** | 204.6 ms | 23.3 ms | 0.39x |
+| transport | 98k | 23.3 ms | **18.1 ms** | 219.8 ms | 35.2 ms | 0.51x |
+| dispatch | 100k | 12.7 ms | **7.9 ms** | 196.2 ms | 13.2 ms | 0.60x |
+| fleet | 120k | 39.3 ms | **33.6 ms** | 266.1 ms | 89.5 ms | 0.37x |
+| nodal | 120k | 13.5 ms | **8.6 ms** | 202.0 ms | 19.8 ms | 0.43x |
+| profiled | 120k | 22.4 ms | **17.5 ms** | 200.0 ms | 19.9 ms | 0.88x |
+| sector | 170k | 16.0 ms | **11.3 ms** | 211.2 ms | 27.4 ms | 0.41x |
+| transport | 980k | 78.3 ms | **67.0 ms** | 242.8 ms | 57.8 ms | 1.16x |
+| dispatch | 1M | 29.7 ms | **22.2 ms** | 198.4 ms | 19.0 ms | 1.17x |
+| fleet | 1.2M | 71.8 ms | **61.0 ms** | 279.8 ms | 98.4 ms | 0.62x |
+| nodal | 1.2M | 25.5 ms | **19.3 ms** | 221.2 ms | 30.2 ms | 0.64x |
+| profiled | 1.2M | 121.3 ms | **112.8 ms** | 215.5 ms | 34.3 ms | 3.29x |
+| sector | 1.7M | 32.0 ms | **26.2 ms** | 263.0 ms | 74.2 ms | 0.35x |
+| transport | 9.8M | 644.3 ms | **628.9 ms** | 618.1 ms | 387.0 ms | 1.62x |
+| dispatch | 10M | 167.8 ms | **148.0 ms** | 264.3 ms | 57.5 ms | 2.57x |
+| profiled | 12M | 1186.4 ms | **1134.4 ms** | 379.2 ms | 161.0 ms | 7.05x |
+| fleet | 12M | 423.9 ms | **379.2 ms** | 366.7 ms | 161.6 ms | 2.35x |
+| nodal | 12M | 151.7 ms | **135.0 ms** | 346.6 ms | 127.9 ms | 1.06x |
+| sector | 17M | 200.2 ms | **181.3 ms** | 782.8 ms | 479.5 ms | 0.38x |
 
 ## Absurd sizes
 
@@ -264,28 +280,35 @@ plotted in [benchmarks-scaling.html](benchmarks-scaling.html):
 
 | variables | lpspec | linopy | wall | peak |
 |---|---|---|---|---|
-| 10k | **0.02 s** / 0.17 GB | 0.21 s / 0.21 GB | **0.07x** | **0.79x** |
-| 100k | **0.03 s** / 0.21 GB | 0.22 s / 0.26 GB | **0.12x** | **0.81x** |
-| 1M | **0.13 s** / 0.47 GB | 0.34 s / 0.56 GB | **0.38x** | **0.83x** |
-| 10M | **1.12 s** / 2.04 GB | 1.54 s / 2.13 GB | **0.73x** | **0.96x** |
-| 40M | **5.99 s** / 5.98 GB | 8.80 s / 7.92 GB | **0.68x** | **0.75x** |
-| 120M | **35.36 s** / 8.30 GB | 106.23 s / 7.77 GB | **0.33x** | 1.07x |
+| 10k | **0.01 s** / 0.17 GB | 0.20 s / 0.22 GB | **0.07x** | **0.76x** |
+| 100k | **0.02 s** / 0.21 GB | 0.22 s / 0.27 GB | **0.11x** | **0.78x** |
+| 1M | **0.12 s** / 0.43 GB | 0.33 s / 0.58 GB | **0.35x** | **0.74x** |
+| 10M | **1.13 s** / 1.58 GB | 1.68 s / 2.15 GB | **0.67x** | **0.74x** |
+| 40M | **5.40 s** / 5.41 GB | 6.51 s / 7.98 GB | **0.83x** | **0.68x** |
+| 120M | **20.44 s** / 9.24 GB | 37.88 s / 12.58 GB | **0.54x** | **0.73x** |
 
 **Nothing falls over**, on either lane, at a 9.97 GB LP file. The wall ratio
-does not decay with size — it is 0.33x at 120M against 0.73x at 10M, because
-linopy's curve steepens above 10M and this one does not.
+does not decay with size — 0.54x at 120M against 0.67x at 10M, because linopy's
+curve steepens above 10M and this one does not.
 
-**Peak is where the advantage runs out.** 1.07x at 120M: past a certain size
-both lanes are holding the same model, and the representation stops deciding
-anything. Whatever memory headroom this lane has over the eager one is a
-small-and-sparse-model property, not a scaling one — which is the honest
-reading of the `sector`-against-`dispatch` spread above, at a size where it can
-no longer hide.
+**Peak does not run out, and this page used to say it did.** An earlier version
+of this section read 1.07x at 120M and concluded that "whatever memory headroom
+this lane has over the eager one is a small-and-sparse-model property, not a
+scaling one". That does not survive re-measurement: peak is **0.68-0.78x across
+four orders of magnitude**, 0.73x at the top rung.
 
-*The `2xl` rung is noisy between runs* — this lane read 20.6 s once and 35.4 s
-another time, linopy 38.5 s and 106.2 s — because 8-10 GB of peak on a 26 GB
-machine is where other things start to matter. Read the ordering, not the
-seconds.
+Two things moved it and only one is us. `cols` became positional
+([#433](https://github.com/FBumann/lpspec/pull/433)) and took ~20% off this
+case. The rest is that the earlier reading came from a run *this section itself
+flagged as noisy* — it recorded linopy at 38.5 s and 106.2 s for the same rung.
+The old number was a conclusion drawn across the noise floor.
+
+**This is the LP sink, and it is the sink where the representation wins.** It is
+not evidence for the `highs` peak row above, which goes the other way.
+
+*The `2xl` rung is still the noisiest* — 9-13 GB of peak on a 26 GB machine is
+where other things start to matter, and it is best-of-two rather than
+best-of-three. Read the ordering, not the seconds.
 
 ## The density sweep, and the claim it used to refuse
 
@@ -297,10 +320,10 @@ the 12 technologies each node has installed.
 
 | case | live | variables | wall: lpspec | wall: linopy | wall | peak: lpspec | peak: linopy | peak |
 |---|---|---|---|---|---|---|---|---|
-| nodal | 100% | 1.2M | 0.22 s | 0.44 s | 0.50x | 0.58 GB | 0.64 GB | 0.91x |
-| nodal | 50% | 600k | 0.12 s | 0.31 s | 0.38x | 0.43 GB | 0.59 GB | 0.72x |
-| nodal | 25% | 300k | 0.07 s | 0.29 s | 0.23x | 0.32 GB | 0.45 GB | 0.72x |
-| nodal | 8% | 100k | 0.04 s | 0.25 s | 0.17x | 0.26 GB | 0.34 GB | 0.78x |
+| nodal | 100% | 1.2M | 0.16 s | 0.38 s | 0.41x | 0.54 GB | 0.62 GB | 0.88x |
+| nodal | 50% | 600k | 0.10 s | 0.31 s | 0.32x | 0.41 GB | 0.60 GB | 0.68x |
+| nodal | 25% | 300k | 0.06 s | 0.27 s | 0.23x | 0.32 GB | 0.46 GB | 0.68x |
+| nodal | 8% | 100k | 0.04 s | 0.24 s | 0.16x | 0.26 GB | 0.35 GB | 0.72x |
 
 **It now does, and it did not before.** Wall time falls from 0.50x to 0.17x as
 density drops, and peak improves at every rung — 0.91x, 0.72x, 0.72x, 0.78x.