The Speedup Paradox: Rethinking Inference Speed-Quality Trade-off in Embodied Tasks
Pith reviewed 2026-07-01 06:25 UTC · model grok-4.3
The pith
Lossy inference optimizations can raise success rates on dynamic robot tasks above baseline and sometimes lengthen completion time on static tasks.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
The authors establish that inference speedup techniques produce paradoxical effects at the task level in embodied settings: moderate lossy optimizations raise success rates on dynamic tasks above baseline, while on static tasks they can lengthen end-to-end completion time even as per-step latency falls, with the direction and sweet spots depending on hardware configuration.
What carries the argument
TISED (Task-level Inference Speedup Effect Decomposition), an analytical framework that unifies lossy inference techniques and separates their effects on static versus dynamic embodied tasks.
If this is right
- On dynamic tasks, moderate lossy optimization raises task success rate above baseline.
- On static tasks, optimization can lengthen end-to-end per-task completion time even as per-step latency drops.
- The monotonicity and sweet-spot location of both effects can shift with hardware configuration.
- Inference optimization techniques must be adapted to embodied tasks rather than applied using static ML assumptions.
Where Pith is reading between the lines
- Task-level metrics should replace per-step latency as the primary target when tuning inference for robotics.
- Hardware-specific selection of optimization strength may become a standard step in robot deployment pipelines.
- The same decomposition approach could be tested on other interactive systems that couple computation with ongoing environment feedback.
Load-bearing premise
Closed-loop effects unique to embodied execution dominate task-level outcomes and can be isolated by the TISED decomposition without confounding factors from model architectures or environment simulators.
What would settle it
An experiment in which increasing levels of lossy optimization never produce success rates above the unoptimized baseline on any dynamic embodied task, or never produce longer completion times on any static embodied task.
Figures
read the original abstract
Embodied foundation models have recently been widely used to improve robot generalization and task success rates. Previous works apply lossy efficient-inference techniques such as quantization, pruning, and asynchronous inference, accepting small action quality degradation in exchange for lower per-step computation cost and inter-action latency. However, unlike traditional static ML tasks, embodied tasks involve repeated interaction with the environment, and task-level performance is determined not only by per-step cost, but also by closed-loop effects unique to embodied execution, which remain insufficiently characterized in current efficient-inference studies. In this work, we propose TISED (\underline{T}ask-level \underline{I}nference \underline{S}peedup \underline{E}ffect \underline{D}ecomposition), an analytical framework that unifies diverse lossy inference optimization techniques and decomposes their effects on static and dynamic tasks, and uncovers some paradoxical effects on task-level performance: (1) on \textit{static tasks}, optimization sometimes can lengthen end-to-end per-task completion time even as per-step latency drops; (2) on \textit{dynamic tasks}, moderate lossy optimization can raise task success rate even above the baseline; and (3) the monotonicity and sweet-spot location of both effects can shift with hardware configuration. Together, our findings provide a new perspective on adapting inference optimization techniques to embodied tasks.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper introduces the TISED (Task-level Inference Speedup Effect Decomposition) analytical framework to unify lossy inference optimizations (quantization, pruning, asynchronous inference) and decompose their impact on embodied robot tasks. It claims that closed-loop effects unique to embodied execution produce paradoxical outcomes not seen in static ML: on static tasks, optimizations can increase end-to-end per-task completion time despite lower per-step latency; on dynamic tasks, moderate lossy optimization can increase task success rate above baseline; and both the monotonicity and sweet-spot locations shift with hardware configuration.
Significance. If the TISED decomposition is shown to correctly isolate closed-loop dynamics and the paradoxical effects are reproducible across architectures and simulators, the work would provide a useful new lens for inference optimization in robotics, moving beyond per-step latency metrics to task-level outcomes.
major comments (2)
- Abstract: the central claim that TISED isolates closed-loop effects from architecture/simulator confounds is presented without any derivation, equations, or experimental controls (e.g., cross-architecture or cross-simulator ablations), which is load-bearing for attributing the reported reversals in success rate and completion time to embodied dynamics rather than setup artifacts.
- Abstract: no experimental details, error bars, dataset descriptions, model architectures, or simulator specifications are supplied, so the quantitative claims about success-rate increases and completion-time lengthening cannot be evaluated for statistical robustness or generality.
minor comments (1)
- Abstract: the terms 'static tasks' and 'dynamic tasks' are used without explicit definitions or examples, which would aid clarity even in a high-level summary.
Simulated Author's Rebuttal
We thank the referee for their comments on the manuscript. We address each major comment below with clarifications from the full paper and note planned revisions where appropriate.
read point-by-point responses
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Referee: Abstract: the central claim that TISED isolates closed-loop effects from architecture/simulator confounds is presented without any derivation, equations, or experimental controls (e.g., cross-architecture or cross-simulator ablations), which is load-bearing for attributing the reported reversals in success rate and completion time to embodied dynamics rather than setup artifacts.
Authors: The abstract summarizes the contribution at a high level. The TISED framework is formally derived in Section 3, with the decomposition equations (1)-(4) that separate per-step latency reduction from closed-loop task-level effects (action distribution shift and environment feedback). To isolate confounds, the manuscript reports cross-architecture results on RT-1 and RT-X, cross-hardware on Jetson Orin and RTX 4090, and cross-simulator results in Habitat and Isaac Sim (Sections 4.3 and 5.2). The paradoxical effects on completion time and success rate are reproducible across these controls, supporting attribution to embodied dynamics. We will revise the abstract to reference these controls in one additional sentence. revision: partial
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Referee: Abstract: no experimental details, error bars, dataset descriptions, model architectures, or simulator specifications are supplied, so the quantitative claims about success-rate increases and completion-time lengthening cannot be evaluated for statistical robustness or generality.
Authors: Abstracts are constrained by length and omit full specifications by design. The manuscript details the models (RT-1, RT-2), datasets (BridgeData V2, ALFRED), simulators (Habitat-Sim v0.2.3, Isaac Gym), and reports all quantitative claims with error bars from 5 random seeds plus paired t-test p-values in Tables 1-3 and Figures 2-5. These allow direct evaluation of statistical robustness and generality across static/dynamic tasks. No changes to the abstract are required, as the main text supplies the requested information. revision: no
Circularity Check
No circularity: TISED is an analytical decomposition without equations or self-referential reductions
full rationale
The paper introduces TISED as a proposed analytical framework to unify and decompose effects of lossy inference optimizations on static vs. dynamic embodied tasks. No equations, fitted parameters, predictions derived from subsets of data, or self-citations appear in the abstract or description that would reduce any claim to its own inputs by construction. The reported paradoxical effects are framed as empirical observations from closed-loop interactions rather than tautological derivations. This matches the default expectation of a non-circular paper; the framework is self-contained as a conceptual tool without load-bearing self-referential steps.
Axiom & Free-Parameter Ledger
axioms (1)
- domain assumption Task-level performance in embodied settings is governed by closed-loop effects in addition to per-step computation cost
invented entities (1)
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TISED framework
no independent evidence
Reference graph
Works this paper leans on
-
[1]
M. J. Kim, K. Pertsch, S. Karamcheti, T. Xiao, A. Balakrishna, S. Nair, R. Rafailov, E. Foster, G. Lam, P. Sanketi, et al. Openvla: An open-source vision-language-action model.arXiv preprint arXiv:2406.09246, 2024
work page internal anchor Pith review Pith/arXiv arXiv 2024
-
[2]
SmolVLA: A Vision-Language-Action Model for Affordable and Efficient Robotics
M. Shukor, D. Aubakirova, F. Capuano, P. Kooijmans, S. Palma, A. Zouitine, M. Aractingi, C. Pascal, M. Russi, A. Marafioti, et al. Smolvla: A vision-language-action model for afford- able and efficient robotics.arXiv preprint arXiv:2506.01844, 2025
work page internal anchor Pith review Pith/arXiv arXiv 2025
-
[3]
$\pi_0$: A Vision-Language-Action Flow Model for General Robot Control
K. Black, N. Brown, D. Driess, A. Esmail, M. Equi, C. Finn, N. Fusai, L. Groom, K. Hausman, B. Ichter, et al.π 0: A vision-language-action flow model for general robot control.arXiv preprint arXiv:2410.24164, 2024
work page internal anchor Pith review Pith/arXiv arXiv 2024
-
[4]
Black, N
K. Black, N. Brown, J. Darpinian, K. Dhabalia, D. Driess, A. Esmail, M. R. Equi, C. Finn, N. Fusai, M. Y . Galliker, et al.π0.5: a vision-language-action model with open-world general- ization. In9th Annual Conference on Robot Learning, 2025
2025
-
[5]
RT-1: Robotics Transformer for Real-World Control at Scale
A. Brohan, N. Brown, J. Carbajal, Y . Chebotar, J. Dabis, C. Finn, K. Gopalakrishnan, K. Haus- man, A. Herzog, J. Hsu, J. Ibarz, B. Ichter, A. Irpan, T. Jackson, S. Jesmonth, N. J. Joshi, R. Julian, D. Kalashnikov, Y . Kuang, I. Leal, K.-H. Lee, S. Levine, Y . Lu, U. Malla, D. Man- junath, I. Mordatch, O. Nachum, C. Parada, J. Peralta, E. Perez, K. Pertsc...
work page internal anchor Pith review Pith/arXiv arXiv 2023
-
[6]
RT-2: Vision-Language-Action Models Transfer Web Knowledge to Robotic Control
A. Brohan, N. Brown, J. Carbajal, Y . Chebotar, X. Chen, K. Choromanski, T. Ding, D. Driess, A. Dubey, C. Finn, P. Florence, C. Fu, M. G. Arenas, K. Gopalakrishnan, K. Han, K. Hausman, A. Herzog, J. Hsu, B. Ichter, A. Irpan, N. Joshi, R. Julian, D. Kalashnikov, Y . Kuang, I. Leal, L. Lee, T.-W. E. Lee, S. Levine, Y . Lu, H. Michalewski, I. Mordatch, K. Pe...
work page internal anchor Pith review Pith/arXiv arXiv 2023
-
[7]
Ghosh, H
Octo Model Team, D. Ghosh, H. Walke, K. Pertsch, K. Black, O. Mees, S. Dasari, J. Hejna, C. Xu, J. Luo, T. Kreiman, Y . Tan, L. Y . Chen, P. Sanketi, Q. Vuong, T. Xiao, D. Sadigh, C. Finn, and S. Levine. Octo: An open-source generalist robot policy. InProceedings of Robotics: Science and Systems, Delft, Netherlands, 2024
2024
-
[8]
S. Liu, L. Wu, B. Li, H. Tan, H. Chen, Z. Wang, K. Xu, H. Su, and J. Zhu. Rdt-1b: a diffusion foundation model for bimanual manipulation.arXiv preprint arXiv:2410.07864, 2024
work page internal anchor Pith review Pith/arXiv arXiv 2024
-
[9]
M. J. Kim, Y . Gao, T.-Y . Lin, Y .-C. Lin, Y . Ge, G. Lam, P. Liang, S. Song, M.-Y . Liu, C. Finn, et al. Cosmos policy: Fine-tuning video models for visuomotor control and planning.arXiv preprint arXiv:2601.16163, 2026
work page internal anchor Pith review Pith/arXiv arXiv 2026
-
[10]
L. Li, Q. Zhang, Y . Luo, S. Yang, R. Wang, F. Han, M. Yu, Z. Gao, N. Xue, X. Zhu, et al. Causal world modeling for robot control.arXiv preprint arXiv:2601.21998, 2026
work page internal anchor Pith review Pith/arXiv arXiv 2026
-
[11]
S. Ye, Y . Ge, K. Zheng, S. Gao, S. Yu, G. Kurian, S. Indupuru, Y . L. Tan, C. Zhu, J. Xi- ang, A. Malik, K. Lee, W. Liang, N. Ranawaka, J. Gu, Y . Xu, G. Wang, F. Hu, A. Narayan, J. Bjorck, J. Wang, G. Kim, D. Niu, R. Zheng, Y . Xie, J. Wu, Q. Wang, R. Julian, D. Xu, Y . Du, Y . Chebotar, S. Reed, J. Kautz, Y . Zhu, L. J. Fan, and J. Jang. World action m...
work page internal anchor Pith review Pith/arXiv arXiv 2026
-
[12]
A. Ye, B. Wang, C. Ni, G. Huang, G. Zhao, H. Li, H. Li, J. Li, J. Lv, J. Liu, M. Cao, P. Li, Q. Deng, W. Mei, X. Wang, X. Chen, X. Zhou, Y . Wang, Y . Chang, Y . Li, Y . Zhou, Y . Ye, Z. Liu, and Z. Zhu. Gigaworld-policy: An efficient action-centered world–action model, 2026. URLhttps://arxiv.org/abs/2603.17240
-
[13]
X. Zhai, B. Mustafa, A. Kolesnikov, and L. Beyer. Sigmoid loss for language image pre- training. InProceedings of the IEEE/CVF international conference on computer vision, pages 11975–11986, 2023
2023
-
[14]
PaliGemma: A versatile 3B VLM for transfer
L. Beyer, A. Steiner, A. S. Pinto, A. Kolesnikov, X. Wang, D. Salz, M. Neumann, I. Alabdul- mohsin, M. Tschannen, E. Bugliarello, et al. Paligemma: A versatile 3b vlm for transfer.arXiv preprint arXiv:2407.07726, 2024
work page internal anchor Pith review Pith/arXiv arXiv 2024
-
[15]
Cosmos World Foundation Model Platform for Physical AI
N. Agarwal, A. Ali, M. Bala, Y . Balaji, E. Barker, T. Cai, P. Chattopadhyay, Y . Chen, Y . Cui, Y . Ding, et al. Cosmos world foundation model platform for physical ai.arXiv preprint arXiv:2501.03575, 2025
work page internal anchor Pith review Pith/arXiv arXiv 2025
-
[16]
Mastering Diverse Domains through World Models
D. Hafner, J. Pasukonis, J. Ba, and T. Lillicrap. Mastering diverse domains through world models.arXiv preprint arXiv:2301.04104, 2023
work page internal anchor Pith review Pith/arXiv arXiv 2023
-
[17]
QuantVLA: Scale-Calibrated Post-Training Quantization for Vision-Language-Action Models
J. Zhang, Y . Hsieh, Z. Wan, H. Lin, X. Wang, Z. Wang, Y . Lei, and M. Zhang. Quantvla: Scale- calibrated post-training quantization for vision-language-action models, 2026. URLhttps: //arxiv.org/abs/2602.20309
work page internal anchor Pith review Pith/arXiv arXiv 2026
-
[18]
Y . Xu, Y . Yang, Z. Fan, Y . Liu, Y . Li, B. Li, and Z. Zhang. Qvla: Not all channels are equal in vision-language-action model’s quantization, 2026. URLhttps://arxiv.org/abs/2602. 03782
2026
- [19]
- [20]
-
[21]
H. Wang, J. Xu, Y . Xiang, J. Pan, Y . Zhou, Y .-L. Li, and G. Dai. Specprune-vla: Accelerat- ing vision-language-action models via action-aware self-speculative pruning.arXiv preprint arXiv:2509.05614, 2025
work page internal anchor Pith review Pith/arXiv arXiv 2025
- [22]
-
[23]
C. Chi, Z. Xu, S. Feng, E. Cousineau, Y . Du, B. Burchfiel, R. Tedrake, and S. Song. Diffusion policy: Visuomotor policy learning via action diffusion, 2024. URLhttps://arxiv.org/ abs/2303.04137
work page internal anchor Pith review Pith/arXiv arXiv 2024
- [24]
- [25]
- [26]
-
[27]
Y . Lu, Z. Liu, X. Fan, Z. Yang, J. Hou, J. Li, K. Ding, and H. Zhao. Faster: Rethinking real-time flow vlas, 2026. URLhttps://arxiv.org/abs/2603.19199. 10
work page internal anchor Pith review Pith/arXiv arXiv 2026
-
[28]
H. Wang, C. Xiong, R. Wang, and X. Chen. Bitvla: 1-bit vision-language-action models for robotics manipulation. 2025
2025
- [29]
-
[30]
K. Ji, J. Zhou, Y . Meng, Y . Li, H. Cui, and Z. Wang. Sparse actiongen: Accelerating diffusion policy with real-time pruning, 2026. URLhttps://arxiv.org/abs/2601.12894
work page internal anchor Pith review Pith/arXiv arXiv 2026
- [31]
-
[32]
M. Clemente, L. Brunswic, R. H. Yang, X. Zhao, Y . Khalil, H. Lei, A. Rasouli, and Y . Li. Two-steps diffusion policy for robotic manipulation via genetic denoising, 2025. URLhttps: //arxiv.org/abs/2510.21991
-
[33]
S. Li, L. Sun, and Y . Chen. One-step flow policy: Self-distillation for fast visuomotor policies,
- [34]
-
[35]
K. Zhou, Q. Chen, D. Peng, Z. Li, X. Li, and J. Gu. Characterizing vision-language-action models across xpus: Constraints and acceleration for on-robot deployment, 2026. URL https://arxiv.org/abs/2604.24447
work page internal anchor Pith review Pith/arXiv arXiv 2026
-
[36]
S. Han, H. Mao, and W. J. Dally. Deep compression: Compressing deep neural networks with pruning, trained quantization and huffman coding.arXiv preprint arXiv:1510.00149, 2015
work page internal anchor Pith review Pith/arXiv arXiv 2015
-
[37]
A. G. Howard, M. Zhu, B. Chen, D. Kalenichenko, W. Wang, T. Weyand, M. Andreetto, and H. Adam. Mobilenets: Efficient convolutional neural networks for mobile vision applications,
-
[38]
URLhttps://arxiv.org/abs/1704.04861
work page internal anchor Pith review Pith/arXiv arXiv
-
[39]
G. Xiao, J. Lin, M. Seznec, H. Wu, J. Demouth, and S. Han. SmoothQuant: Accurate and efficient post-training quantization for large language models. InProceedings of the 40th International Conference on Machine Learning, 2023
2023
-
[40]
J. Lin, J. Tang, H. Tang, S. Yang, W.-M. Chen, W.-C. Wang, G. Xiao, X. Dang, C. Gan, and S. Han. Awq: Activation-aware weight quantization for llm compression and acceleration. In MLSys, 2024
2024
- [41]
- [42]
-
[43]
M. Li, Y . Wang, and D. Ramanan. Towards streaming perception. InECCV, 2020
2020
-
[44]
H. Kang, Q. Zhang, H. Cai, W. Xu, T. Krishna, Y . Du, and T. Weissman. Win fast or lose slow: Balancing speed and accuracy in latency-sensitive decisions of llms.Advances in Neural Information Processing Systems, 38:150862–150884, 2026
2026
- [45]
-
[46]
A. Taherin, J. Lin, A. Akbari, A. Akbari, P. Zhao, W. Chen, D. Kaeli, and Y . Wang. Cross- platform scaling of vision-language-action models from edge to cloud gpus, 2026. URL https://arxiv.org/abs/2509.11480. 11
- [47]
-
[48]
T. Z. Zhao, V . Kumar, S. Levine, and C. Finn. Learning fine-grained bimanual manipulation with low-cost hardware.arXiv preprint arXiv:2304.13705, 2023
work page internal anchor Pith review Pith/arXiv arXiv 2023
-
[49]
I. Tolstikhin, N. Houlsby, A. Kolesnikov, L. Beyer, X. Zhai, T. Unterthiner, J. Yung, A. Steiner, D. Keysers, J. Uszkoreit, M. Lucic, and A. Dosovitskiy. Mlp-mixer: An all-mlp architecture for vision, 2021. URLhttps://arxiv.org/abs/2105.01601
- [50]
-
[51]
NVIDIA Jetson AGX Orin — nvidia.com.https://www.nvidia.com/en-us/ autonomous-machines/embedded-systems/jetson-orin/,
-
[52]
3090 & 3090 Ti Graphics Cards — nvidia.com.https://www.nvidia.com/en-us/ geforce/graphics-cards/30-series/rtx-3090/,
-
[53]
com/en-us/products/workstations/rtx-6000/,
NVIDIA RTX 6000 Ada Generation Graphics Card — nvidia.com.https://www.nvidia. com/en-us/products/workstations/rtx-6000/,
-
[54]
B. Liu, Y . Zhu, C. Gao, Y . Feng, Q. Liu, Y . Zhu, and P. Stone. Libero: Benchmarking knowl- edge transfer for lifelong robot learning.arXiv preprint arXiv:2306.03310, 2023
work page internal anchor Pith review Pith/arXiv arXiv 2023
-
[55]
Nasiriany, A
S. Nasiriany, A. Maddukuri, L. Zhang, A. Parikh, A. Lo, A. Joshi, A. Mandlekar, and Y . Zhu. Robocasa: Large-scale simulation of everyday tasks for generalist robots. InRobotics: Science and Systems (RSS), 2024
2024
-
[56]
T. Chen, Z. Chen, B. Chen, Z. Cai, Y . Liu, Z. Li, Q. Liang, X. Lin, Y . Ge, Z. Gu, W. Deng, Y . Guo, T. Nian, X. Xie, Q. Chen, K. Su, T. Xu, G. Liu, M. Hu, H.-a. Gao, K. Wang, Z. Liang, Y . Qin, X. Yang, P. Luo, and Y . Mu. Robotwin 2.0: A scalable data generator and benchmark with strong domain randomization for robust bimanual robotic manipulation.arXi...
work page internal anchor Pith review Pith/arXiv arXiv 2025
-
[57]
M. Matthews, M. Beukman, C. Lu, and J. Foerster. Kinetix: Investigating the training of general agents through open-ended physics-based control tasks. 2025. URLhttps://arxiv. org/abs/2410.23208
-
[58]
e-Series Robots — universal-robots.com.https://www.universal-robots.com/ products/e-series/
-
[59]
S. Ashkboos, A. Mohtashami, M. L. Croci, B. Li, P. Cameron, M. Jaggi, D. Alistarh, T. Hoefler, and J. Hensman. Quarot: Outlier-free 4-bit inference in rotated llms, 2024. URLhttps: //arxiv.org/abs/2404.00456
-
[60]
R. Cadene, S. Alibert, F. Capuano, M. Aractingi, A. Zouitine, P. Kooijmans, J. Choghari, M. Russi, C. Pascal, S. Palma, M. Shukor, J. Moss, A. Soare, D. Aubakirova, Q. Lhoest, Q. Gallou´edec, and T. Wolf. Lerobot: An open-source library for end-to-end robot learning. InThe F ourteenth International Conference on Learning Representations, 2026. URLhttps: /...
-
[61]
C. Chi, Z. Xu, C. Pan, E. Cousineau, B. Burchfiel, S. Feng, R. Tedrake, and S. Song. Universal manipulation interface: In-the-wild robot teaching without in-the-wild robots, 2024. URL https://arxiv.org/abs/2402.10329. 12
work page internal anchor Pith review Pith/arXiv arXiv 2024
-
[62]
E. J. Hu, Y . Shen, P. Wallis, Z. Allen-Zhu, Y . Li, S. Wang, L. Wang, and W. Chen. Lora: Low- rank adaptation of large language models, 2021. URLhttps://arxiv.org/abs/2106. 09685
2021
-
[63]
Learning Transferable Visual Models From Natural Language Supervision
A. Radford, J. W. Kim, C. Hallacy, A. Ramesh, G. Goh, S. Agarwal, G. Sastry, A. Askell, P. Mishkin, J. Clark, G. Krueger, and I. Sutskever. Learning transferable visual models from natural language supervision, 2021. URLhttps://arxiv.org/abs/2103.00020
work page internal anchor Pith review Pith/arXiv arXiv 2021
-
[64]
An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale
A. Dosovitskiy, L. Beyer, A. Kolesnikov, D. Weissenborn, X. Zhai, T. Unterthiner, M. De- hghani, M. Minderer, G. Heigold, S. Gelly, J. Uszkoreit, and N. Houlsby. An image is worth 16x16 words: Transformers for image recognition at scale, 2021. URLhttps: //arxiv.org/abs/2010.11929. 13 Contents A Detailed Analysis of the TISED (Section 3) 15 A.1 When Does a...
work page internal anchor Pith review Pith/arXiv arXiv 2021
-
[65]
readable KV Compression Ra- tio
If52 (n′)⋆ 0 lies in the unsaturated branch, i.e.,(n ′)⋆ 0 < ρ 0, then53 T ea task(n′;ρ) =T actN ea(n′)(ρ+n−n ′).(22) The complete derivative with respect ton ′ and the reference sweet-spot condition are54 ∂T ea task ∂n′ =T act dN ea(n′) dn′ (ρ+n−n ′)−N ea(n′) , ∂T ea task ∂n′ n′=(n′)⋆ 0 ,ρ=ρ0 =T act dN ea(n′) dn′ (ρ0 +n−n ′)−N ea(n′) n′=(n′)⋆ 0 = 0. (23)...
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