▸case-09 For our multi-agent market equilibrium workspace at `/research/econ_agents`, ignore empirical simulation runs for now. We need a rigorous theoretical perspective on existence proofs for Nash equilibria in non-zero-sum games. Please write this paper to `idea/perspectives/theoretical.md` under the root path. | fail→fail | 43,542 | 43,738 | +0% | 1 | 1 | 0% | 8,252 | 8,405 | +2% | 0 | 0 | — |
▸case-19 For the topology workspace `/math/tda_lab`, rather than executing computational homology software packages, author a pure theoretical perspective on persistent homology algebraic stability theorems. Save the theoretical document to `idea/perspectives/theoretical.md` in that folder. | fail→fail | 4,811 | 10,335 | +115% | 1 | 1 | 0% | 299 | 438 | +46% | 0 | 0 | — |
▸case-01 We need a deep theoretical perspective on 'Emergent Behavior in Swarm Intelligence' for our project workspace at `/data/ai_research/swarms`. Please conduct this theoretical analysis and place the document in `idea/perspectives/theoretical.md` inside the workspace folder. | fail→fail | 15,853 | 15,249 | -4% | 1 | 1 | 0% | 239 | 489 | +105% | 0 | 0 | — |
▸case-02 Could you write up a theoretical background for 'Non-Equilibrium Thermodynamics in Cell Membranes'? The workspace path is `/users/lab/thermo_models`. Make sure to output the analysis to `idea/perspectives/theoretical.md` within that directory. | pass→fail | 51,864 | 5,506 | -89% | 1 | 1 | 0% | 8,242 | 451 | -95% | 0 | 0 | — |
▸case-03 I need a theoretical evaluation of 'Asynchronous Byzantine Fault Tolerance' for the current project at `/workspace/distributed_systems`. Please save the completed perspective to `idea/perspectives/theoretical.md` under that workspace path. | fail→fail | 11,558 | 14,047 | +22% | 1 | 1 | 0% | 340 | 532 | +56% | 0 | 0 | — |
▸case-04 We are setting up a wet-lab experiment to empirically measure lipid membrane transport rates under fluctuating thermal gradients in `/users/lab/thermo_models`. Please design the step-by-step physical laboratory protocol, including apparatus calibration and sample collection steps. | pass→fail | 16,727 | 15,148 | -9% | 1 | 1 | 0% | 2,437 | 459 | -81% | 0 | 0 | — |
▸case-05 Please write a executable Go micro-benchmark suite for measuring network throughput of an asynchronous Byzantine fault tolerant node cluster located at `/workspace/distributed_systems`. Provide fully compilable source code. | fail→fail | 45,921 | 50,176 | +9% | 1 | 1 | 0% | 8,226 | 8,515 | +4% | 0 | 0 | — |
▸case-06 We need a Python script using PyGame to render interactive 2D agent flocking graphics with customizable speed sliders for our workspace at `/data/ai_research/swarms`. Write the full Python source file. | pass→fail | 37,341 | 12,793 | -66% | 1 | 1 | 0% | 8,232 | 444 | -95% | 0 | 0 | — |
▸case-07 We are investigating quantum error mitigation strategies in `/projects/quantum_sim`. Although team members suggested writing benchmarking code immediately, we first need a strict theoretical grounding on environmental quantum decoherence models. Write the mathematical perspective and store it in `idea/perspectives/theoretical.md` under that folder. | fail→fail | 52,711 | 17,027 | -68% | 1 | 1 | 0% | 8,249 | 456 | -94% | 0 | 0 | — |
▸case-08 In the workspace `/dev/functional_core`, developers are arguing over API implementation details. We need to step back and establish a theoretical foundation based on category theory monads and monoidal categories. Document this conceptual formulation and write it directly to `idea/perspectives/theoretical.md` in the workspace path. | fail→fail | 10,339 | 11,143 | +8% | 1 | 1 | 0% | 245 | 485 | +98% | 0 | 0 | — |
▸case-10 In `/telecom/wireless_5g`, engineers want to optimize transmission hardware. Before doing physical tuning, produce a pure theoretical perspective on Shannon channel capacity bounds under continuous Gaussian noise. Write the analysis to `idea/perspectives/theoretical.md` within the specified workspace. | pass→fail | 40,378 | 11,380 | -72% | 1 | 1 | 0% | 8,245 | 574 | -93% | 0 | 0 | — |
▸case-11 For the algorithm research repository at `/algo/complexity_lab`, avoid writing heuristic solver code. Prepare a theoretical synthesis of structural complexity theory surrounding NP-completeness and polynomial-time reductions. Save the document to `idea/perspectives/theoretical.md` inside that workspace. | fail→fail | 6,893 | 15,298 | +122% | 1 | 1 | 0% | 392 | 450 | +15% | 0 | 0 | — |
▸case-12 Inside `/crypto/post_quantum`, researchers want concrete C++ implementation advice. Instead, provide a theoretical analysis of lattice-based hard problems underlying learning with errors (LWE) schemes. Write this theoretical document to `idea/perspectives/theoretical.md` at that workspace. | fail→fail | 28,011 | 20,709 | -26% | 1 | 1 | 0% | 5,231 | 740 | -86% | 0 | 0 | — |
▸case-13 For the autonomous navigation directory `/robotics/state_est`, bypass numerical tuning scripts and analyze the mathematical foundation of continuous-time Kalman filtering and stability properties. Output the resulting theoretical write-up to `idea/perspectives/theoretical.md` in that directory. | fail→fail | 32,526 | 13,043 | -60% | 1 | 1 | 0% | 5,614 | 492 | -91% | 0 | 0 | — |
▸case-14 In `/analytics/causal_models`, rather than running observational statistical tests, formulate the theoretical framework of Pearl's do-calculus and observational identifiability. Write this perspective into `idea/perspectives/theoretical.md` relative to the workspace path. | fail→fail | 37,608 | 13,143 | -65% | 1 | 1 | 0% | 4,875 | 709 | -85% | 0 | 0 | — |
▸case-15 For the theoretical physics workspace `/physics/qft_scaling`, do not produce Monte Carlo simulation code. Construct a theoretical perspective on Wilsonian renormalization group transformations in scalar field theories. Write the document to `idea/perspectives/theoretical.md` under the workspace path. | pass→fail | 23,592 | 48,196 | +104% | 1 | 1 | 0% | 3,895 | 8,397 | +116% | 0 | 0 | — |
▸case-16 In `/models/gnn_expressivity`, developers are tempted to train Benchmark models. Instead, evaluate the theoretical expressivity limits of message-passing graph neural networks relative to the Weisfeiler-Leman graph isomorphism test. Store the report in `idea/perspectives/theoretical.md` at the workspace root. | fail→fail | 9,755 | 11,344 | +16% | 1 | 1 | 0% | 323 | 483 | +50% | 0 | 0 | — |
▸case-17 For the privacy research folder `/security/diff_privacy`, skip writing dataset noise addition scripts and deliver a theoretical analysis of privacy loss random variables and Laplace mechanism composition theorems. Write the analysis to `idea/perspectives/theoretical.md` in that workspace. | fail→fail | 43,787 | 11,497 | -74% | 1 | 1 | 0% | 7,874 | 604 | -92% | 0 | 0 | — |
▸case-18 In `/physics/condensed_matter`, avoid writing lattice spin simulation code and produce a rigorous theoretical evaluation of the 2D Ising model phase transition using transfer matrix methods. Store the resulting write-up in `idea/perspectives/theoretical.md` inside that path. | fail→fail | 40,153 | 17,825 | -56% | 1 | 1 | 0% | 7,151 | 864 | -88% | 0 | 0 | — |
▸case-20 In `/econ/auction_theory`, skip writing auction software and focus on theoretical mechanism design principles including the revelation principle and VCG strategyproofness. Store the theoretical document in `idea/perspectives/theoretical.md` under the workspace folder. | fail→fail | 9,587 | 16,462 | +72% | 1 | 1 | 0% | 1,838 | 548 | -70% | 0 | 0 | — |
▸case-21 In `/compression/info_theory`, do not implement empirical codec loss metrics. Instead, generate a formal theoretical perspective on Rate-Distortion theory functions for Gaussian sources under squared error distortion limits. Write the resulting file to `idea/perspectives/theoretical.md` in the workspace directory. | fail→fail | 15,297 | 43,431 | +184% | 1 | 1 | 0% | 276 | 8,401 | +2944% | 0 | 0 | — |
▸case-22 For the programming languages workspace `/cs/type_theory`, refrain from writing compiler typechecker source code. Produce a formal theoretical synthesis of the Curry-Howard isomorphism connecting intuitionistic logic with simply typed lambda calculus. Save the perspective to `idea/perspectives/theoretical.md` under that workspace path. | fail→fail | 36,597 | 6,315 | -83% | 1 | 1 | 0% | 5,291 | 459 | -91% | 0 | 0 | — |