Beyond pass@1: A Reliability Science Framework for Long-Horizon LLM Agents
Organizations: School of Computing and Analytics, Northern Kentucky University
Abstract
Existing benchmarks measure capability -- whether a model succeeds on a single attempt -- but production deployments require reliability -- consistent success across repeated attempts on tasks of varying duration. We show these properties diverge systematically as task duration grows, and that pass@1 on short tasks is structurally blind to this divergence. We introduce a reliability science framework for long-horizon LLM agents with four metrics: Reliability Decay Curve (RDC), Variance Amplification Factor (VAF), Graceful Degradation Score (GDS), and Meltdown Onset Point (MOP). We evaluate 10 models across 23,392 episodes on a 396-task benchmark spanning four duration buckets and three domains. Key findings: (1) reliability decay is domain-stratified -- SE GDS drops from 0.90 to 0.44 while document processing is nearly flat (0.74 to 0.71); (2) VAF bifurcates by capability tier -- high VAF is a capability signature, not an instability signal; (3) capability and reliability rankings diverge substantially, with multi-rank inversions at long horizons; (4) frontier models have the highest meltdown rates (up to 19%) because they attempt ambitious multi-step strategies that sometimes spiral; and (5) memory scaffolds universally hurt long-horizon performance across all 10 models. These results motivate reliability as a first-class evaluation dimension alongside capability.
Figures & tables
| Work | Models | Duration dim. | Variance | Partial credit |
|---|---|---|---|---|
| -bench ( Yao et al., 2024 ) | 6 | × | pass k | × |
| ReliabilityBench ( rel, 2026b ) | 2 | × | ✓ | × |
| METR horizon ( met, 2025 ) | 3 | ✓ | × | × |
| OdysseyBench ( ody, 2025 ) | 4 | partial | × | × |
| SWE-bench ( Jimenez et al., 2024 ) | 20+ | × | × | × |
| This work | 10 | ✓ | ✓ | ✓ |
| Bucket | Human time | SE | Web Research | Doc Processing | Total |
|---|---|---|---|---|---|
| Short | min | 33 | 33 | 33 | 99 |
| Medium | 5–30 min | 33 | 33 | 33 | 99 |
| Long | 30–120 min | 33 | 33 | 33 | 99 |
| Very Long | min | 33 | 33 | 33 | 99 |
| Total | 132 | 132 | 132 | 396 |
| Benchmark | Tasks | Models | k | Duration | Partial credit |
| SWE-bench ( Jimenez et al., 2024 ) | 2294 | 20+ | 1 | short | × |
| -bench ( Yao et al., 2024 ) | 115 | 6 | short | × | |
| OdysseyBench ( ody, 2025 ) | 250 | 4 | 1 | mixed | × |
| ReliabilityBench ( rel, 2026b ) | 300 | 2 | 5 | short | × |
| METR horizon ( met, 2025 ) | 100 | 3 | 1 | long | × |
| Ours (validation) | 19 | 9 | 3 | all | GDS |
| Tier | Model | Parameters | Architecture |
|---|---|---|---|
| Small | Llama 3.1 8B | 8B | Dense |
| Small | Mistral Nemo | 12B | Dense |
| Medium | Mistral Small 3.2 | 24B | Dense |
| Medium | Qwen3 30B | 30B | MoE |
| Medium | Qwen3 32B | 32B | Dense |
| Large | Llama 3.3 70B | 70B | Dense |
| Model | Short | Medium | Long | V. Long | RDS |
|---|---|---|---|---|---|
| DeepSeek V3 | 1.00 | 0.80 | 0.64 | 0.99 | 0.05 |
| Llama 3.3 70B | 0.82 | 0.45 | 0.63 | 0.76 | 0.03 |
| Qwen3 32B | 0.95 | 0.47 | 0.62 | 0.67 | 0.07 |
| Llama 4 Scout | 0.89 | 0.47 | 0.59 | 0.65 | 0.07 |
| Mistral Small 3.2 | 0.93 | 0.49 | 0.59 | 0.39 | 0.11 |
| Qwen3 30B | 0.92 | 0.55 | 0.50 | 0.68 | 0.14 |
| Model | Short | Medium | Long | V. Long |
|---|---|---|---|---|
| DeepSeek V3 | 1.00 | 0.80 | 0.40 | 1.00 |
| Llama 3.3 70B | 0.80 | 0.40 | 0.40 | 0.75 |
| Qwen3 32B | 0.80 | 0.40 | 0.40 | 0.50 |
| Llama 4 Scout | 0.60 | 0.40 | 0.40 | 0.25 |
| Mistral Small 3.2 | 0.80 | 0.20 | 0.40 | 0.25 |
| Qwen3 30B | 0.80 | 0.40 | 0.20 | 0.25 |
| Domain | Short | Medium | Long | V. Long |
|---|---|---|---|---|
| SE (code editing) | 0.97 | 0.30 | 0.25 | 0.68 |
| DP (doc processing) | 0.81 | 0.60 | 0.81 | 0.58 |
| WR (web research) | 0.71 | 0.59 | 0.55 | 0.40 |
| Model | Short | Medium | Long | V. Long | Slope |
|---|---|---|---|---|---|
| DeepSeek V3 | 92.9 5.1 | 92.9 4.5 | 84.8 7.1 | 79.8 7.6 | 0.001 |
| Kimi K2.5 | 93.9 4.5 | 96.0 3.5 | 78.8 8.1 | 79.8 7.1 | 0.001 |
| MiniMax M2.5 | 93.9 4.5 | 93.9 4.5 | 81.8 7.1 | 82.8 7.6 | 0.001 |
| GLM-4.5 Air | 94.9 4.0 | 89.9 5.6 | 78.8 8.6 | 66.7 9.1 | 0.002 |
| Qwen3 32B | 80.8 7.6 | 59.6 9.6 | 44.4 9.6 | 51.5 9.1 | 0.001 |
| Mistral 24B | 73.7 8.1 | 52.5 10.1 | 62.6 9.1 | 55.6 10.1 | 0.001 |
| Model | GDS | pass@1 | ||||||
|---|---|---|---|---|---|---|---|---|
| S | M | L | VL | S | M | L | VL | |
| DeepSeek V3 | 0.96 | 0.95 | 0.93 | 0.87 | 0.93 | 0.94 | 0.84 | 0.82 |
| Kimi K2.5 | 0.97 | 0.96 | 0.86 | 0.84 | 0.94 | 0.95 | 0.82 | 0.81 |
| MiniMax M2.5 | 0.97 | 0.95 | 0.88 | 0.89 | 0.95 | 0.93 | 0.84 | 0.83 |
| GLM-4.5 Air | 0.96 | 0.93 | 0.80 | 0.73 | 0.91 | 0.91 | 0.77 | 0.69 |
| Qwen3 32B | 0.91 | 0.67 | 0.59 | 0.60 | 0.84 | 0.62 | 0.46 | 0.52 |
| Model | VAF | 95% CI | Short/Med pass | Long/VL pass |
|---|---|---|---|---|
| MiniMax M2.5 | 2.60 | [1.53, 5.24] | 93.9% | 83.2% |
| DeepSeek V3 | 2.49 | [1.44, 4.44] | 93.3% | 83.2% |
| Kimi K2.5 | 2.48 | [1.46, 5.26] | 94.4% | 81.8% |
| GLM-4.5 Air | 2.37 | [1.59, 4.16] | 90.7% | 72.7% |
| Qwen3 32B | 1.26 | [1.07, 1.54] | 72.7% | 48.8% |
| Mistral 24B | 1.02 | [0.87, 1.20] | 63.0% | 59.9% |
| Domain | Short | Medium | Long | V. Long | Drop (S VL) |
|---|---|---|---|---|---|
| SE (code editing) | 0.90 | 0.59 | 0.57 | 0.44 | 0.46 |
| WR (web research) | 0.80 | 0.72 | 0.59 | 0.63 | 0.17 |
| DP (doc processing) | 0.74 | 0.69 | 0.66 | 0.71 | 0.03 |
| Model | Short | Medium | Long | V. Long |
|---|---|---|---|---|
| DeepSeek V3 | 4% / step 11 | 10% / step 14 | 5% / step 18 | 19% / step 17 |
| MiniMax M2.5 | 4% / step 13 | 7% / step 16 | 4% / step 16 | 13% / step 24 |
| GLM-4.5 Air | 1% / — | 4% / step 20 | 2% / step 34 | 0% / — |
| Kimi K2.5 | 0% / — | 2% / step 16 | 2% / step 11 | 4% / step 15 |
| Llama 3.3 70B | 0% / — | 0% / — | 0% / — | 0% / — |
| Mistral 24B | 0% / — | 0% / — | 0% / — | 0% / — |
| Model | ReAct L+VL | Mem L+VL | GDS | Effect |
|---|---|---|---|---|
| MiniMax M2.5 | 0.88 | 0.88 | 0.00 | neutral |
| DeepSeek V3 | 0.90 | 0.87 | 0.03 | neutral |
| Llama 3.1 8B | 0.09 | 0.07 | 0.02 | neutral |
| Qwen3 32B | 0.59 | 0.59 | 0.01 | neutral |
| Kimi K2.5 | 0.85 | 0.71 | 0.14 | hurts |
| Mistral 24B | 0.71 | 0.58 | 0.13 | hurts |
| Model | SE (L+VL) | WR (L+VL) | DP (L+VL) |
|---|---|---|---|
| DeepSeek V3 | 74.7% | 80.8% | 93.9% |
| MiniMax M2.5 | 78.3% | 79.3% | 91.9% |
| Kimi K2.5 | 82.3% | 79.3% | 83.8% |
| GLM-4.5 Air | 77.3% | 50.0% | 90.9% |
| Qwen3 32B | 21.2% | 65.2% | 60.1% |
| Mistral 24B | 69.7% | 45.5% | 64.6% |
Appendix figures & tables2 assets
Supplementary material from the paper’s appendix.
Appendix
| Window | Precision | Recall | F1 |
|---|---|---|---|
| 3 | — | — | — |
| 5 | — | — | — |
| 7 | — | — | — |
| 10 | — | — | — |
| Model | In ($/M tok) | Out ($/M tok) | Pilot cost (342 ep.) |
|---|---|---|---|
| Llama 3.3 70B | 0.10 | 0.32 | $0.19 |
| Mistral Small 3.2 | 0.06 | 0.18 | $0.52 |
| Llama 3.1 8B | 0.02 | 0.05 | $0.02 |
| Total | $0.74 |
LLM Reliability
Large language model reliability studies whether outputs remain correct, calibrated, robust, and controllable across prompts, contexts, and deployment conditions.
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