ShellElastic: Scalable Elastic Pretraining with Simultaneous Maximal Updates and Hyperparameter Transfer
Organizations: Rutgers University · Adobe Research
Abstract
Foundation models need to support diverse inference budgets, yet training a separate model for each budget duplicates pretraining effort. Elastic models train several nested sub-networks inside one weight-shared supernet, but existing recipes face three obstacles: variable per-step workloads that hinder distributed scaling, limited hyperparameter (HP) transfer across model sizes, and no guarantee that all sub-networks are maximally updated at once. We present \Ours, an elastic transformer that organizes hidden dimensions into a dense core and successive shells, so that every hidden matrix is block lower triangular. One full-width forward pass contains every sub-network's exact hidden states as prefixes, so joint training keeps a fixed computation graph and costs about as much per step as training the widest sub-network alone. We further introduce \muE, an extension of maximal update parameterization (\mup) to \Ours and other elastic architectures. Its scaling rules provably keep all sub-networks of a supernet maximally updated simultaneously (\muI), and keep doing so when the supernet is widened or given more shells; sweeps confirm that HPs tuned on a small non-elastic proxy stay near-optimal for elastic families and larger supernets (\mbox{\muT}). A single \Ours run produces sub-networks that outperform MatFormer and fully elastic baselines at matched parameter counts, and approach separately trained models that together take several times the steps.
Figures & tables
| Parameter | Active input width | Initialization | Learning rate | Weight decay | Multiplier |
|---|---|---|---|---|---|
| Token embedding | (fixed) | ||||
| Attention; FFN up/gate | |||||
| FFN down | |||||
| Readout | |||||
| Norm gains; readout scalar | (elementwise) |
| Val. loss | 5-shot acc. (%) | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Method | Low | Medium | High | Extra | Max | Avg. | Low | Medium | High | Extra | Max | Avg. | |
| M– M | Standalone † | 3.369 | 3.308 | 3.264 | 3.219 | 3.191 | 3.270 | 35.6 | 35.8 | 36.6 | 37.1 | 37.1 | 36.5 |
| Sampled standalone | 3.667 | 3.609 | 3.583 | 3.532 | 3.524 | 3.583 | 33.8 | 33.4 | 34.0 | 34.2 | 34.4 | 34.0 | |
| MatFormer | 3.425 | 3.357 | 3.325 | 3.312 | 3.314 | 3.347 | 35.1 | 35.2 | 35.8 | 35.9 | 35.9 | 35.6 | |
| Fully elastic | 3.429 | 3.354 | 3.315 | 3.295 | 3.290 | 3.336 | 34.9 | 35.5 | 35.7 | 35.9 | 36.0 | 35.6 | |
| ShellElastic | 3.409 | 3.338 | 3.294 | 3.264 | 3.240 | 3.309 | 35.5 | 36.6 | 36.6 | 36.9 | 36.9 | 36.5 | |
| Train loss | Val. loss | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Method | Low | Medium | High | Extra | Max | Avg. | Low | Medium | High | Extra | Max | Avg. | |
| M– M | MatFormer | 3.261 | 3.184 | 3.157 | 3.140 | 3.139 | 3.176 | 3.434 | 3.360 | 3.327 | 3.314 | 3.311 | 3.349 |
| w/ -Elastic | 3.254 | 3.182 | 3.156 | 3.141 | 3.144 | 3.175 | 3.425 | 3.357 | 3.325 | 3.312 | 3.314 | 3.347 | |
| Fully elastic | 3.272 | 3.192 | 3.154 | 3.130 | 3.126 | 3.175 | 3.445 | 3.368 | 3.325 | 3.303 | 3.297 | 3.348 | |
| w/ -Elastic | 3.257 | 3.178 | 3.145 | 3.123 | 3.120 | 3.165 | 3.429 | 3.354 | 3.315 | 3.295 | 3.290 | 3.336 | |
| ShellElastic | 3.247 | 3.180 | 3.136 | 3.104 | 3.079 | 3.149 | 3.423 | 3.354 | 3.308 | 3.275 | 3.249 | 3.322 | |
| Val. loss | 5-shot acc. | ||||||
| Setting | Low | Medium | High | Extra | Max | Avg. | Avg. |
| Selected sub-networks per step | |||||||
| Sandwich: Low, Max and one other | 3.4019 | 3.3617 | 3.3183 | 3.2816 | 3.2395 | 3.3206 | 36.1 |
| Random: one of the five sub-networks | 3.4311 | 3.3786 | 3.3542 | 3.3410 | 3.3356 | 3.3681 | 34.8 |
| Max + random: Max and one other | 3.4944 | 3.4079 | 3.3447 | 3.2956 | 3.2397 | 3.3564 | 35.5 |
| All: all five sub-networks (default) | 3.4086 | 3.3375 | 3.2944 | 3.2641 | 3.2403 | 3.3090 | 36.5 |
Appendix figures & tables33 assets
Supplementary material from the paper’s appendix.
Appendix
| Parameter | Initialization | Learning rate | Weight decay | Forward multiplier |
|---|---|---|---|---|
| Token embedding (first columns) | ||||
| of attention and FFN up/gate | frozen | – | ||
| of FFN down | frozen | – | ||
| of every hidden matrix | ||||
| of the readout (first columns) | frozen | – | ||
| of the readout (first columns) |
| Parameter | Initialization | Learning rate | Weight decay | Forward multiplier |
|---|---|---|---|---|
| Token embedding (full width) | ||||
| of attention and FFN up/gate | frozen | – | ||
| of attention and FFN up/gate | ||||
| of FFN down (first columns) | frozen | – | ||
| of FFN down | ||||
| Shared readout (fan-in ) | (one scalar) |
| Model | Sub-network widths | Parameters (M) | ||||
|---|---|---|---|---|---|---|
| Proxy | ||||||
| M– M scale | ||||||
| Standalone | , | – | – | |||
| MatFormer | FFN – | – | ||||
| Fully elastic | – | – | ||||
| ShellElastic | – | – | ||||
| Shared by all models | |||||
|---|---|---|---|---|---|
| Layers | pre-norm layers with residual-branch multiplier | ||||
| Normalization | RMSNorm with learnable gains and ; query–key RMSNorm per head | ||||
| Attention | rotary embeddings with base , logit scale , elementwise sigmoid gate | ||||
| FFN and biases | SwiGLU; no biases | ||||
| Embeddings | untied, over the -token GPT-NeoX vocabulary | ||||
| Initialization | truncated normal at standard deviations | ||||
| HP | Value |
|---|---|
| Sequence length | |
| Batch size | sequences ( tokens) |
| Training steps | ( B tokens) |
| Learning-rate schedule | warmup-stable-decay |
| Learning-rate warmup | linear, first steps |
| Learning-rate decay | linear to , from step to step |
| Method | Low | Medium | High | Extra | Max | Avg. | |
|---|---|---|---|---|---|---|---|
| M– M | Standalone | 119.0 | 154.4 | 194.3 | 238.7 | 287.5 | 198.8 |
| Sampled standalone | 119.0 | 154.4 | 194.3 | 238.7 | 287.5 | 198.8 | |
| MatFormer | 118.8 | 150.3 | 188.0 | 232.1 | 282.4 | 194.3 | |
| Fully elastic | 119.0 | 154.4 | 194.3 | 238.7 | 287.5 | 198.8 | |
| ShellElastic | 118.8 | 152.7 | 190.8 | 233.1 | 279.6 | 195.0 | |
| M– M | Standalone | 377.5 | 487.7 | 611.8 | 749.8 | 901.6 | 625.7 |
| Method | Tier 1 | Tier 2 | Tier 3 | Tier 4 | Tier 5 | Avg. |
|---|---|---|---|---|---|---|
| Low | Medium | High | Extra | Max | ||
| Train latency (ms, forward + backward) | ||||||
| Standalone † | 570 2 | 644 3 | 723 6 | 834 5 | 917 10 | 737 3 |
| Sampled standalone | as Standalone | |||||
| MatFormer | 641 1 | 677 2 | 722 4 | 776 5 | 834 6 | 730 4 |
| Fully elastic | 597 4 | 671 3 | 748 5 | 858 7 | 933 9 | 761 6 |
| Field | Dataset | Split | #Items | Metric | Random |
| World knowledge | MMLU | test | MC accuracy | ||
| ARC-Easy | test | MC accuracy | |||
| ARC-Challenge | test | MC accuracy | |||
| Symbolic problem solving | SVAMP | test | EM | ||
| Commonsense reasoning | COPA | val | MC accuracy | ||
| PIQA | val | MC accuracy |
| Tier 1 Low | Standalone † | Sampled standalone | MatFormer | Fully elastic | ShellElastic |
|---|---|---|---|---|---|
| Params (M) | 119.0 | 119.0 | 118.8 | 119.0 | 118.8 |
| Train loss | 3.1951 .0035 | 3.4911 .0235 | 3.2536 .0032 | 3.2572 .0091 | 3.2305 .0015 |
| Val. loss | 3.3695 .0034 | 3.6674 .0242 | 3.4248 .0036 | 3.4291 .0097 | 3.4086 .0009 |
| 5-shot accuracy (%) | |||||
| MMLU | 24.5 .3 | 24.4 .2 | 24.8 .5 | 24.7 .7 | 24.7 .6 |
| ARC-Easy | 44.8 .5 | 39.2 1.0 | 43.5 .5 | 44.0 .9 | 45.0 .2 |
| Tier 2 Medium | Standalone † | Sampled standalone | MatFormer | Fully elastic | ShellElastic |
|---|---|---|---|---|---|
| Params (M) | 154.4 | 154.4 | 150.3 | 154.4 | 152.7 |
| Train loss | 3.1344 .0019 | 3.4301 .0095 | 3.1821 .0034 | 3.1783 .0083 | 3.1641 .0031 |
| Val. loss | 3.3081 .0016 | 3.6091 .0104 | 3.3566 .0037 | 3.3536 .0083 | 3.3375 .0027 |
| 5-shot accuracy (%) | |||||
| MMLU | 25.0 .4 | 24.9 .3 | 24.9 .2 | 24.7 .3 | 23.8 .7 |
| ARC-Easy | 46.7 .1 | 39.1 1.1 | 45.2 1.0 | 46.1 .8 | 45.8 .1 |
| Tier 3 High | Standalone † | Sampled standalone | MatFormer | Fully elastic | ShellElastic |
|---|---|---|---|---|---|
| Params (M) | 194.3 | 194.3 | 188.0 | 194.3 | 190.8 |
| Train loss | 3.0916 .0086 | 3.4087 .0336 | 3.1561 .0036 | 3.1447 .0077 | 3.1229 .0018 |
| Val. loss | 3.2635 .0092 | 3.5826 .0344 | 3.3250 .0036 | 3.3145 .0076 | 3.2944 .0016 |
| 5-shot accuracy (%) | |||||
| MMLU | 24.6 .4 | 25.0 .3 | 24.6 .4 | 24.6 .5 | 24.0 .5 |
| ARC-Easy | 47.9 .2 | 40.0 .6 | 45.9 .7 | 46.6 1.0 | 47.1 .8 |
| Tier 4 Extra | Standalone † | Sampled standalone | MatFormer | Fully elastic | ShellElastic |
|---|---|---|---|---|---|
| Params (M) | 238.7 | 238.7 | 232.1 | 238.7 | 233.1 |
| Train loss | 3.0474 .0006 | 3.3561 .0056 | 3.1407 .0036 | 3.1233 .0071 | 3.0941 .0015 |
| Val. loss | 3.2186 .0012 | 3.5319 .0056 | 3.3123 .0037 | 3.2954 .0072 | 3.2641 .0017 |
| 5-shot accuracy (%) | |||||
| MMLU | 24.6 .5 | 24.7 .1 | 24.5 .4 | 24.6 .5 | 24.4 .7 |
| ARC-Easy | 50.7 1.0 | 42.0 .7 | 46.3 .2 | 47.2 .9 | 47.6 .6 |
| Tier 5 Max | Standalone † | Sampled standalone | MatFormer | Fully elastic | ShellElastic |
|---|---|---|---|---|---|
| Params (M) | 287.5 | 287.5 | 282.4 | 287.5 | 279.6 |
| Train loss | 3.0203 .0017 | 3.3505 .0321 | 3.1436 .0035 | 3.1196 .0070 | 3.0713 .0014 |
| Val. loss | 3.1908 .0014 | 3.5239 .0340 | 3.3139 .0036 | 3.2899 .0071 | 3.2403 .0016 |
| 5-shot accuracy (%) | |||||
| MMLU | 24.8 .9 | 24.5 .2 | 24.8 .4 | 24.3 .2 | 24.2 .4 |
| ARC-Easy | 50.5 .5 | 41.1 .1 | 46.2 .5 | 47.1 .9 | 48.0 .7 |
| Tier 1 Low | Standalone † | Sampled standalone | MatFormer | Fully elastic | ShellElastic |
|---|---|---|---|---|---|
| Params (M) | 377.5 | 377.5 | 371.9 | 377.5 | 371.9 |
| Train loss | 2.8302 .0016 | 3.0381 .0070 | 2.8993 .0014 | 2.8791 .0019 | 2.8746 .0035 |
| Val. loss | 3.0069 .0016 | 3.2085 .0079 | 3.0724 .0015 | 3.0519 .0023 | 3.0546 .0039 |
| 5-shot accuracy (%) | |||||
| MMLU | 24.9 .5 | 25.1 .4 | 25.1 .2 | 23.9 .7 | 24.8 .0 |
| ARC-Easy | 57.3 .8 | 50.3 .5 | 54.9 .6 | 56.1 .4 | 55.8 .8 |
| Tier 2 Medium | Standalone † | Sampled standalone | MatFormer | Fully elastic | ShellElastic |
|---|---|---|---|---|---|
| Params (M) | 487.7 | 487.7 | 485.1 | 487.7 | 481.6 |
| Train loss | 2.7862 .0010 | 3.0000 .0032 | 2.8283 .0015 | 2.8172 .0013 | 2.8222 .0011 |
| Val. loss | 2.9632 .0010 | 3.1750 .0039 | 3.0050 .0014 | 2.9948 .0015 | 2.9998 .0012 |
| 5-shot accuracy (%) | |||||
| MMLU | 25.2 .5 | 25.2 .7 | 24.7 .3 | 25.2 .1 | 24.8 .5 |
| ARC-Easy | 59.6 1.1 | 50.8 .4 | 58.0 .2 | 58.2 .9 | 57.4 1.1 |
| Tier 3 High | Standalone † | Sampled standalone | MatFormer | Fully elastic | ShellElastic |
|---|---|---|---|---|---|
| Params (M) | 611.8 | 611.8 | 610.9 | 611.8 | 608.1 |
| Train loss | 2.7496 .0018 | 2.9719 .0037 | 2.8035 .0016 | 2.7933 .0011 | 2.7901 .0013 |
| Val. loss | 2.9262 .0017 | 3.1414 .0040 | 2.9750 .0015 | 2.9662 .0016 | 2.9670 .0016 |
| 5-shot accuracy (%) | |||||
| MMLU | 24.1 .5 | 24.6 .9 | 24.9 .9 | 25.0 .8 | 24.8 .3 |
| ARC-Easy | 60.6 .5 | 52.4 .6 | 58.8 .3 | 59.8 .4 | 58.5 .6 |
| Tier 4 Extra | Standalone † | Sampled standalone | MatFormer | Fully elastic | ShellElastic |
|---|---|---|---|---|---|
| Params (M) | 749.8 | 749.8 | 749.3 | 749.8 | 751.4 |
| Train loss | 2.7201 .0016 | 2.9403 .0057 | 2.7857 .0015 | 2.7735 .0011 | 2.7671 .0010 |
| Val. loss | 2.8972 .0016 | 3.1146 .0057 | 2.9628 .0016 | 2.9520 .0014 | 2.9435 .0016 |
| 5-shot accuracy (%) | |||||
| MMLU | 25.1 .5 | 23.9 .1 | 24.6 .5 | 24.4 .5 | 24.5 .3 |
| ARC-Easy | 62.4 1.1 | 52.2 .6 | 59.9 .4 | 60.4 .1 | 58.9 .9 |
| Tier 5 Max | Standalone † | Sampled standalone | MatFormer | Fully elastic | ShellElastic |
|---|---|---|---|---|---|
| Params (M) | 901.6 | 901.6 | 912.9 | 901.6 | 911.5 |
| Train loss | 2.6922 .0012 | 2.9196 .0026 | 2.7871 .0015 | 2.7710 .0009 | 2.7488 .0008 |
| Val. loss | 2.8696 .0010 | 3.0931 .0032 | 2.9631 .0016 | 2.9481 .0015 | 2.9250 .0012 |
| 5-shot accuracy (%) | |||||
| MMLU | 24.9 .5 | 24.8 .2 | 24.8 .0 | 24.9 .5 | 24.8 .1 |
| ARC-Easy | 63.4 .8 | 54.2 1.1 | 60.0 .7 | 60.5 .1 | 59.9 .4 |
| Tier 1 Low | Standalone † | Sampled standalone | MatFormer | Fully elastic | ShellElastic |
|---|---|---|---|---|---|
| Params (M) | 676.6 | 676.6 | 673.8 | 676.6 | 673.8 |
| Train loss | 2.7335 | 2.8643 | 2.7365 | 2.7638 | 2.7347 |
| Val. loss | 2.9118 | 3.0370 | 2.9140 | 2.9403 | 2.9135 |
| 5-shot accuracy (%) | |||||
| MMLU | 25.2 | 23.6 | 24.1 | 23.3 | 24.1 |
| ARC-Easy | 61.8 | 57.7 | 60.9 | 60.3 | 62.4 |
| Tier 2 Medium | Standalone † | Sampled standalone | MatFormer | Fully elastic | ShellElastic |
|---|---|---|---|---|---|
| Params (M) | 885.8 | 885.8 | 875.2 | 885.8 | 878.0 |
| Train loss | 2.6791 | 2.8253 | 2.6938 | 2.7067 | 2.6865 |
| Val. loss | 2.8587 | 2.9980 | 2.8720 | 2.8840 | 2.8657 |
| 5-shot accuracy (%) | |||||
| MMLU | 23.8 | 24.0 | 24.6 | 24.1 | 23.6 |
| ARC-Easy | 64.3 | 58.3 | 62.7 | 62.5 | 62.4 |
| Tier 3 High | Standalone † | Sampled standalone | MatFormer | Fully elastic | ShellElastic |
|---|---|---|---|---|---|
| Params (M) | 1123.2 | 1123.2 | 1126.8 | 1123.2 | 1117.7 |
| Train loss | 2.6424 | 2.7994 | 2.6730 | 2.6788 | 2.6550 |
| Val. loss | 2.8212 | 2.9696 | 2.8487 | 2.8539 | 2.8351 |
| 5-shot accuracy (%) | |||||
| MMLU | 25.3 | 22.9 | 24.3 | 24.3 | 24.2 |
| ARC-Easy | 64.6 | 58.8 | 62.9 | 63.6 | 63.6 |
| Tier 4 Extra | Standalone † | Sampled standalone | MatFormer | Fully elastic | ShellElastic |
|---|---|---|---|---|---|
| Params (M) | 1388.5 | 1388.5 | 1403.7 | 1388.5 | 1393.1 |
| Train loss | 2.6122 | 2.7838 | 2.6617 | 2.6621 | 2.6323 |
| Val. loss | 2.7933 | 2.9557 | 2.8385 | 2.8384 | 2.8131 |
| 5-shot accuracy (%) | |||||
| MMLU | 23.7 | 24.6 | 24.2 | 24.8 | 24.2 |
| ARC-Easy | 66.2 | 59.7 | 63.0 | 64.3 | 65.3 |
| Tier 5 Max | Standalone † | Sampled standalone | MatFormer | Fully elastic | ShellElastic |
|---|---|---|---|---|---|
| Params (M) | 1682.0 | 1682.0 | 1705.6 | 1682.0 | 1704.2 |
| Train loss | 2.5859 | 2.7509 | 2.6585 | 2.6549 | 2.6152 |
| Val. loss | 2.7674 | 2.9242 | 2.8378 | 2.8334 | 2.7959 |
| 5-shot accuracy (%) | |||||
| MMLU | 25.2 | 24.7 | 24.2 | 24.3 | 24.6 |
| ARC-Easy | 67.3 | 61.7 | 62.8 | 64.6 | 65.9 |
| Method | Low | Medium | High | Extra | Max | Avg. |
|---|---|---|---|---|---|---|
| M– M, train loss | ||||||
| MatFormer | 3.2614 | 3.1841 | 3.1566 | 3.1405 | 3.1393 | 3.1764 |
| w/ -Elastic | 3.2536 | 3.1821 | 3.1561 | 3.1407 | 3.1436 | 3.1752 |
| Fully elastic | 3.2717 | 3.1917 | 3.1544 | 3.1304 | 3.1263 | 3.1749 |
| w/ -Elastic | 3.2572 | 3.1783 | 3.1447 | 3.1233 | 3.1196 | 3.1646 |
| ShellElastic | 3.2472 | 3.1801 | 3.1356 | 3.1040 | 3.0794 | 3.1493 |
| Tier 1 Low | Tier 2 Medium | Tier 3 High | Tier 4 Extra | Tier 5 Max | ||||||
| Stair. | Ours | Stair. | Ours | Stair. | Ours | Stair. | Ours | Stair. | Ours | |
| Params (M) | 32.6 | 118.8 | 76.9 | 152.7 | 132.8 | 190.8 | 200.4 | 233.1 | 279.6 | 279.6 |
| Train loss | 3.6874 | 3.2305 | 3.4224 | 3.1641 | 3.2764 | 3.1229 | 3.1871 | 3.0941 | 3.1258 | 3.0713 |
| Val. loss | 3.8836 | 3.4086 | 3.6004 | 3.3375 | 3.4519 | 3.2944 | 3.3588 | 3.2641 | 3.2949 | 3.2403 |
| 5-shot accuracy (%) | ||||||||||
| MMLU | 25.1 | 24.7 | 25.1 | 23.8 | 25.1 | 24.0 | 25.5 | 24.4 | 25.3 | 24.2 |
| 128 | 256 | 384 | 512 | 640 | 768 | 896 | 1024 | Avg. | |
| , 5 supported widths | |||||||||
| Params | 17.1 | 38.4 | 63.9 | 118.8 | 152.7 | 190.8 | 233.1 | 279.6 | |
| 4.1178 | 3.8183 | 3.6738 | 3.6023 † | – | – | – | 3.2698 | 3.6964 | |
| 4.1037 | 3.8310 | 3.7224 | – | – | – | 3.2910 | 3.2503 | 3.6397 | |
| 4.0895 | 3.8832 | – | – | – | 3.3193 | 3.2721 | 3.2400 | 3.5608 | |
| 4.1154 | – | – | – | 3.3657 | 3.3068 | 3.2687 | 3.2409 | 3.4595 | |
| Val. loss | 5-shot acc. | ||||||
| Setting | Low | Medium | High | Extra | Max | Avg. | Avg. |
| (1) Selected sub-networks per step | |||||||
| Sandwich: Low, Max and one other | 3.4019 | 3.3617 | 3.3183 | 3.2816 | 3.2395 | 3.3206 | 36.1 |
| Random: one of the five sub-networks | 3.4311 | 3.3786 | 3.3542 | 3.3410 | 3.3356 | 3.3681 | 34.8 |
| Max + random: Max and one other | 3.4944 | 3.4079 | 3.3447 | 3.2956 | 3.2397 | 3.3564 | 35.5 |
| All: all five sub-networks (default) | 3.4086 | 3.3375 | 3.2944 | 3.2641 | 3.2403 | 3.3090 | 36.5 |
| Val. loss | 5-shot acc. | ||||||
| Setting | Low | Medium | High | Extra | Max | Avg. | Avg. |
| (7) Normalization type | |||||||
| LayerNorm | 3.4037 | 3.3379 | 3.2955 | 3.2655 | 3.2424 | 3.3090 | 35.8 |
| RMSNorm (default) | 3.4086 | 3.3375 | 3.2944 | 3.2641 | 3.2403 | 3.3090 | 36.5 |
| (8) Ensembles of the five sub-networks | |||||||
| Learned per-token width router | 3.7735 | 3.5611 | 3.4137 | 3.3055 | 3.2269 | 3.4562 | 35.1 |
| Loss Max loss | ||
| Ensemble | Train loss | Val. loss |
| Predictors | ||
| Uniform weights | ||
| Confidence weights | ||
| Most confident readout | ||
| Best fixed ensemble | ||
| Tier | Low | Medium | High | Extra | Max |
|---|---|---|---|---|---|
| Picked by the oracle (%) | 22.7 | 16.3 | 15.1 | 16.4 | 29.4 |
| Contribution to the gain (nats) | 0.0878 | 0.0454 | 0.0309 | 0.0210 | – |
| Beats Max (%) | 39.0 | 42.7 | 44.9 | 46.7 | – |