Recent work reports strong performance from multi-agent LLM systems (MAS), but these gains are often confounded by increased test-time computation. When computation is normalized, single-agent systems (SAS) can match or outperform MAS, yet the theoretical basis and evaluation methodology behind this comparison remain unclear. We present an information-theoretic argument, grounded in the Data Processing Inequality, suggesting that under a fixed reasoning-token budget and with perfect context utilization, single-agent systems are more information-efficient. This perspective further predicts that multi-agent systems become competitive when a single agent's effective context utilization is degraded, or when more compute is expended. We test these predictions in a controlled empirical study across three model families (Qwen3, DeepSeek-R1-Distill-Llama, and Gemini 2.5), comparing SAS with multiple MAS architectures under matched budgets. We find that SAS consistently match or outperform MAS on multi-hop reasoning tasks when reasoning tokens are held constant. Beyond aggregate performance, we conduct a detailed diagnostic analysis of system behavior and evaluation methodology. We identify significant artifacts in API-based budget control (particularly in Gemini 2.5) and in standard benchmarks, both of which can inflate apparent gains from MAS. Overall, our results suggest that, for multi-hop reasoning tasks, many reported advantages of multi-agent systems are better explained by unaccounted computation and context effects rather than inherent architectural benefits, and highlight the importance of understanding and explicitly controlling the trade-offs between compute, context, and coordination in agentic systems.
Figures & tables
100 thinking tokens
500 thinking tokens
Data
Model
SAS
SAS-L
Seq
Sub
Roles
Deb
Ens
SAS
SAS-L
Seq
Sub
Roles
Deb
Ens
FRAMES
Qwen3-30B
0.191
0.195
0.198
0.155
0.207
0.204
0.146
0.240
0.220
0.223
0.187
0.223
0.206
0.193
MuSiQue
Qwen3-30B
0.200
0.210
0.220
0.174
0.202
0.225
0.149
0.250
0.213
0.226
0.187
0.204
0.229
0.183
FRAMES
DeepSeek-R1-70B
0.365
0.374
0.387
0.385
0.427
0.400
0.365
0.427
0.432
0.396
0.402
0.407
0.392
0.400
MuSiQue
DeepSeek-R1-70B
0.294
0.316
0.328
0.309
0.316
0.308
0.316
0.383
0.375
0.332
0.303
0.329
0.320
0.319
FRAMES
G2.5-F
0.333
0.427
0.462
0.365
0.441
0.445
0.284
0.487
0.459
0.494
0.442
0.451
0.470
0.384
Table 1: Single-agent (SAS) vs. multi-agent architectures under matched thinking-token budgets on FRAMES and MuSiQue. SAS-L is the “longer thinking” single-agent variant. “Seq” denotes our primary Sequential multi-agent baseline. “Sub”, “Roles”, “Deb”, and “Ens” denote subtask-parallel, parallel roles, debate, and ensemble architectures, respectively. Bold indicates the highest-accuracy systems and every other system whose 95% bootstrap confidence interval overlaps with that highest system’s confidence interval (see Appendix F for bootstrap confidence interval values).
Figure 2: MuSiQue 4-hop accuracy across Gemini model versions with unlimited thinking tokens.
Figure 3: Context degradation results on MuSiQue 4-hop with Qwen3-30B-A3B under a fixed 1000-token thinking budget. The x-axis is the degradation level ( α for deletion, masking, and substitution; k for distractors), and the y-axis is answer accuracy.
Appendix figures & tables12 assets
Supplementary material from the paper’s appendix.
Appendix
Gemini-2.5-Flash
Qwen3-30B-A3B
Bucket
N
Avg Tokens
Entity Spans
% gold in thoughts
N
Avg Tokens
Entity Spans
% gold in thoughts
SAS
Seq
SAS
Seq
SAS / Seq / Both
SAS
Seq
SAS
Seq
SAS / Seq / Both
MR/SW
72
260
516
4.8
9.5
12.5 / 41.7 / —
60
788
769
9.3
9.9
18.3 / 56.7 / —
SR/MW
124
286
565
5.9
10.3
42.7 / 18.6 / —
96
733
791
8.1
9.2
63.5 / 28.1 / —
BR
265
217
483
5.0
10.0
61.9 / 64.5 / 50.9
209
666
761
7.8
9.4
73.7 / 78.5 / 69.9
BW
714
274
542
5.2
10.1
3.36 / 2.66 / —
810
787
809
7.8
8.9
3.33 / 3.58 / —
Appendix
Table 2: Error analysis on MuSiQue 4-hop at 1k thinking tokens, comparing Gemini-2.5-Flash and Qwen3-30B-A3B. The MAS being used in here is Sequential MAS. Buckets are: MAS right & SAS wrong (MR/SW), SAS right & MAS wrong (SR/MW), both right (BR), and both wrong (BW). “Avg Tokens” gives the average thinking-token count; “Entity Spans” is the average number of entities traversed in the internal reasoning; “% gold in thoughts” is the percentage of examples in which the gold answer appears anywhere in the internal reasoning.
System
100
500
1k
2k
5k
10k
SAS
0.191
0.240
0.252
0.250
0.260
0.263
95% CI
(0.158, 0.201)
(0.238, 0.268)
(0.251, 0.282)
(0.248, 0.275)
(0.247, 0.295)
(0.252, 0.299)
Avg. thinking tokens
100
474
800
1103
1260
1307
Seq
0.198
0.223
0.225
0.252
0.252
0.258
95% CI
(0.174, 0.206)
(0.214, 0.224)
(0.205, 0.232)
(0.227, 0.255)
(0.229, 0.253)
(0.247, 0.281)
Avg. thinking tokens
99.5
494
889
1321
1693
1808
Appendix
Table 3: FRAMES full results for Qwen3-30B-A3B.
System
100
500
1k
2k
5k
10k
SAS
0.200
0.250
0.260
0.271
0.271
0.271
95% CI
(0.196, 0.214)
(0.248, 0.255)
(0.260, 0.271)
(0.269, 0.276)
(0.268, 0.276)
(0.268, 0.276)
Avg. thinking tokens
100
495
916
1345
1453
1462
Seq
0.220
0.226
0.229
0.229
0.231
0.231
95% CI
(0.212, 0.238)
(0.229, 0.235)
(0.223, 0.248)
(0.223, 0.240)
(0.226, 0.243)
(0.225, 0.244)
Avg. thinking tokens
99.6
495
907
1383
1766
1811
Appendix
Table 4: MuSiQue 4-hop full results for Qwen3-30B-A3B.
System
100
500
1k
2k
5k
10k
SAS
0.365
0.427
0.448
0.454
0.455
0.456
95% CI
(0.359, 0.378)
(0.407, 0.432)
(0.421, 0.459)
(0.431, 0.463)
(0.434, 0.464)
(0.434, 0.465)
Avg. thinking tokens
100
466
550
574
635
960
Seq
0.387
0.396
0.391
0.393
0.394
0.397
95% CI
(0.365, 0.395)
(0.373, 0.397)
(0.360, 0.400)
(0.369, 0.405)
(0.372, 0.399)
(0.374, 0.400)
Avg. thinking tokens
99.6
493
749
959
1080
1337
Appendix
Table 5: FRAMES full results for DeepSeek-R1-Distill-Llama-70B.
System
100
500
1k
2k
5k
10k
SAS
0.294
0.383
0.407
0.418
0.419
0.417
95% CI
(0.282, 0.305)
(0.372, 0.397)
(0.400, 0.413)
(0.412, 0.429)
(0.413, 0.429)
(0.402, 0.429)
Avg. thinking tokens
100
412
519
574
635
724
Seq
0.328
0.332
0.320
0.327
0.323
0.327
95% CI
(0.324, 0.347)
(0.317, 0.361)
(0.313, 0.336)
(0.312, 0.357)
(0.318, 0.344)
(0.320, 0.351)
Avg. thinking tokens
99.6
479
788
1017
1105
1124
Appendix
Table 6: MuSiQue 4-hop full results for DeepSeek-R1-Distill-Llama-70B.
System
100
500
1k
2k
5k
10k
SAS acc.
0.263
0.340
0.331
0.334
0.344
0.338
95% CI
(0.249, 0.266)
(0.319, 0.358)
(0.324, 0.346)
(0.322, 0.353)
(0.323, 0.370)
(0.321, 0.361)
Self-count tok.
90
399
637
884
1407
1687
Visible words
124
212
248
254
250
251
Assumed visible tok.
177
303
354
363
357
359
Sequential acc.
0.272
0.287
0.287
0.283
0.289
0.285
Appendix
Table 7: MuSiQue 4-hop full results for Gemini-2.5-Flash.
System
100
500
1k
2k
5k
10k
SAS acc.
0.308
0.391
0.413
0.412
0.419
0.428
95% CI
(0.288, 0.320)
(0.369, 0.405)
(0.397, 0.420)
(0.408, 0.418)
(0.410, 0.425)
(0.413, 0.435)
Self-count tok.
84
442
816
884
1526
1522
Visible words
124
226
273
254
276
275
Assumed visible tok.
177
323
390
363
394
393
Sequential acc.
0.393
0.391
0.400
0.414
0.392
0.392
Appendix
Table 8: MuSiQue 4-hop full results for Gemini-2.5-Pro.
System
100
500
1k
2k
5k
10k
SAS acc.
0.333
0.487
0.551
0.532
0.545
0.547
95% CI
(0.315, 0.341)
(0.473, 0.496)
(0.537, 0.570)
(0.510, 0.537)
(0.541, 0.564)
(0.524, 0.551)
Self-count tok.
89
374
535
714
1057
1267
Visible words
138
221
254
278
272
275
Assumed visible tok.
197
316
363
397
389
393
Sequential acc.
0.462
0.494
0.507
0.526
0.524
0.516
Appendix
Table 9: FRAMES full results for Gemini-2.5-Flash.
System
100
500
1k
2k
5k
10k
SAS acc.
0.368
0.600
0.680
0.700
0.700
0.692
95% CI
(0.358, 0.376)
(0.578, 0.608)
(0.640, 0.704)
(0.673, 0.705)
(0.691, 0.705)
(0.661, 0.718)
Self-count tok.
84
494
807
1119
1158
1210
Visible words
138
261
322
337
337
330
Assumed visible tok.
197
373
460
481
481
471
Sequential acc.
0.654
0.660
0.670
0.690
0.680
0.691
Appendix
Table 10: FRAMES full results for Gemini-2.5-Pro.
Original
Light paraphrase
Deep paraphrase
Model
Budget
SAS
Seq
SAS
Seq
SAS
Seq
Qwen3-30B-A3B
1k
0.260 (0.260, 0.271)
0.229 (0.223, 0.248)
0.249 (0.236, 0.260)
0.224 (0.175, 0.234)
0.268 (0.264, 0.286)
0.225 (0.214, 0.234)
Qwen3-30B-A3B
2k
0.271 (0.269, 0.276)
0.229 (0.223, 0.240)
0.264 (0.254, 0.274)
0.204 (0.200, 0.220)
0.272 (0.263, 0.286)
0.236 (0.231, 0.248)
Gemini-2.5-Flash
1k
0.331 (0.324, 0.346)
0.287 (0.270, 0.308)
0.326 (0.320, 0.331)
0.278 (0.266, 0.298)
0.358 (0.346, 0.373)
0.308 (0.283, 0.325)
Gemini-2.5-Flash
2k
0.334 (0.322, 0.353)
0.283 (0.271, 0.296)
0.329 (0.323, 0.340)
0.289 (0.271, 0.304)
0.348 (0.332, 0.356)
0.304 (0.277, 0.309)
Appendix
Table 11: Paraphrase results with 95% bootstrap confidence intervals.
Model
SAS
Sequential
Gemini-2-Flash-Lite
0.258 (0.245, 0.282)
0.255 (0.226, 0.266)
Gemini-2-Flash
0.347 (0.333, 0.366)
0.308 (0.296, 0.321)
Gemini-2.5-Flash
0.296 (0.276, 0.319)
0.294 (0.279, 0.316)
Gemini-2.5-Pro
0.399 (0.381, 0.400)
0.396 (0.372, 0.403)
Gemini-3-Pro-Preview
0.491 (0.472, 0.500)
0.489 (0.461, 0.513)
Appendix
Table 12: MuSiQue 4-hop accuracy across Gemini model versions with unlimited thinking, with 95% bootstrap confidence intervals.
Method
Level
SAS
Sequential
Deletion
α=0.3
0.245 (0.234, 0.248)
0.221 (0.218, 0.229)
Deletion
α=0.5
0.216 (0.210, 0.226)
0.219 (0.217, 0.235)
Deletion
α=0.7
0.229 (0.221, 0.242)
0.215 (0.213, 0.225)
Masking
α=0.3
0.234 (0.223, 0.255)
0.221 (0.211, 0.229)
Masking
α=0.5
0.223 (0.205, 0.238)
0.223 (0.206, 0.231)
Masking
α=0.7
0.220 (0.215, 0.224)
0.231 (0.224, 0.248)
Appendix
Table 13: Context-degradation results on MuSiQue 4-hop with Qwen3-30B-A3B and a fixed 1000-token thinking budget.
Department of Computer Science & Engineering, Texas A&M University · Department of Electrical & Computer Engineering, Texas A&M University · Computing and Data Sciences Directorate, Brookhaven National Laboratory