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All nine systems on all 1,710 questions; per-family results and figures

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  1. README.md +73 -74
  2. _cx_10.json +286 -0
  3. _cx_v11.json +286 -0
  4. _laya.json +143 -0
  5. _perfam.md +21 -0
  6. accuracy-vs-latency.png +3 -0
  7. by-decision-type.png +3 -0
  8. rebuild.py +166 -0
README.md CHANGED
@@ -15,101 +15,100 @@ size_categories:
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16
  # this-that-complex-decisions
17
 
18
- 1,710 decisions that a rules engine cannot make and a spreadsheet cannot compute. Each is a state,
19
- a stated policy, and a closed set of options; exactly one option follows from the policy applied to
20
- the state, and which one is not readable from any single column.
21
 
22
  ```
23
- 1,710 questions 19 rule structures 40 domains chance rate 0.258
24
  ```
25
 
26
- Every question was generated programmatically, so its answer is computed rather than judged, and
27
- every family passed three gates before it was allowed in:
28
-
29
- | gate | what it rejects |
30
- |---|---|
31
- | **rule-dependent** | hold the state, change the policy — if the answer does not move, the question measures arithmetic, not a decision |
32
- | **no single attribute** | for every numeric column, an oracle that simply takes that column's best candidate must score near chance. A "trade-off" one column predicts is a lookup in costume |
33
- | **shallow** | an oracle that applies only the first rule must also be near chance, or the later rules are decoration |
34
-
35
- The gates have teeth: on the eight trade-off structures the best single-column oracle scores
36
- 0.00–0.22 against a chance rate of 0.20, while a deliberately easy control family — one option
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- dominates in every scenario — scores 0.78. The check is measuring something.
38
 
39
  ## What is in a row
40
 
41
  ```json
42
  {"id": "authority_conflict-0000",
43
  "family": "authority_conflict",
44
- "state": "candidates:\n staff-02:\n skill_match_pct: 87\n ...",
45
  "question": "Who takes the shift?",
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  "options": ["staff-02", "staff-04", "staff-01", "leave the shift unfilled"],
47
  "answer_index": 1,
48
  "n_options": 4}
49
  ```
50
 
51
- Score it as accuracy against `answer_index`. A system that returns nothing is wrong, not excused —
52
- that is the rule every number below was produced under.
53
-
54
- ## Measured
55
-
56
- Every system answers under the same contract: the state, the question, the declared options, one
57
- answer read back. A system that returns nothing is scored wrong, not excused.
58
-
59
- | System | Accuracy | n | Generated tokens | Latency |
60
- |---|---:|---:|---:|---:|
61
- | `claude-opus-5` | 0.835 | 266 | ~200 | ~1000 ms |
62
- | `gpt-5.6` | 0.816 | 266 | ~200 | ~1200 ms |
63
- | `this-that-model-1.1` | **0.775** | 1,710 | **0** | 30.9 ms |
64
- | `glm-5.3` | 0.652 | 1,710 | ~200 | ~800 ms |
65
- | `kimi-k3` | 0.522 | 1,710 | ~200 | ~1000 ms |
66
- | `deepseek-v4.1-flash` | 0.511 | 1,710 | ~4 | ~800 ms |
67
- | `deepseek-v4-pro` | 0.470 | 1,710 | ~4 | ~900 ms |
68
- | `this-that-model-1.0` | 0.406 | 1,710 | 0 | 30.9 ms |
69
- | `laya-typed-decisions` | 0.310 | 1,710 | 0 | **25 ms** |
70
- | chance | 0.258 | — | — | — |
71
-
72
- The two frontier rows were scored on a 266-question subset, 14 per family, and the rest on all
73
- 1,710. That is stated rather than smoothed over: a 14-item family has a standard error near 0.13,
74
- so those two numbers are the least precise on the table even though they are the highest. A
75
- full-length re-run is in progress and this card will be corrected when it lands.
76
 
77
- Two results worth more than the ranking:
78
 
79
- **More expensive is not better here.** `deepseek-v4-pro` scores below `deepseek-v4.1-flash`, and
80
- `this-that-model-1.1` at 1.88 B parameters sits above every hosted system except the two largest.
81
- Whatever these questions measure, it is not the thing model scale usually buys.
82
 
83
- **1.0's row is zero-shot.** This benchmark did not exist when that checkpoint was trained and none
84
- of its families were in that mixture. The distance from 0.406 to 0.775 is the same architecture
85
- with different training data.
86
 
87
- ## The structure worth reading, not the average
88
-
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- Depth is not difficulty. Composing two rule structures over one state is harder for both frontier
90
- models than composing three:
91
-
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- | | one structure | two composed | three composed |
93
  |---|---:|---:|---:|
94
- | `claude-opus-5` | 0.809 | **0.509** | 0.636 |
95
- | `gpt-5.6` | 0.809 | **0.527** | 0.600 |
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-
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- Two narrowings leave more candidates genuinely in contention; a third narrows the field until the
98
- last choice is clear again. A mixture of 50% single, 20% two-stage and 30% three-stage puts both
99
- models at 0.70.
100
-
101
- ## The 19 structures
102
-
103
- **Trade-offs** — weighted aggregate, lexicographic with tolerance, constrained maximum, minimax
104
- regret, joint threshold, knapsack subset, fairness against efficiency, opportunity cost.
105
- **Depth** — staged filters, cascade to a fixed point, order-dependent operations, delegated decider.
106
- **Rules about rules** — exception ladders, more-specific-beats-general, temporal validity, scope
107
- conflict between two authorities.
108
- **Counterfactual** — cheapest change that flips the decision, which fact was decisive, robustness band.
109
- **Information** — whether the state says enough to decide at all, which single missing fact would settle it.
110
- **Control** — one option dominates whatever happens; kept deliberately easy, as the check that the
111
- harness works.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
112
 
113
  ## Licence
114
 
115
- MIT. The generator and the gates are described in the accompanying paper.
 
15
 
16
  # this-that-complex-decisions
17
 
18
+ 1,710 decisions where the answer follows from a stated policy applied to a state, and where no
19
+ single field of that state gives it away.
 
20
 
21
  ```
22
+ 1,710 questions 19 decision types 40 domains chance rate 0.258
23
  ```
24
 
25
+ Each row is a state, a question, a closed set of options, and the index of the one option the
26
+ policy selects. The answer is determinate: given the state and the policy there is exactly one
27
+ correct choice, and it does not depend on anyone's judgement.
 
 
 
 
 
 
 
 
 
28
 
29
  ## What is in a row
30
 
31
  ```json
32
  {"id": "authority_conflict-0000",
33
  "family": "authority_conflict",
34
+ "state": "candidates:\n staff-02:\n skill_match_pct: 87\n hours_this_week: 56\n ...",
35
  "question": "Who takes the shift?",
36
  "options": ["staff-02", "staff-04", "staff-01", "leave the shift unfilled"],
37
  "answer_index": 1,
38
  "n_options": 4}
39
  ```
40
 
41
+ Score as accuracy against `answer_index`. A system that returns nothing is wrong, not excused —
42
+ that is the rule every number below was produced under. Option counts vary by row, so the chance
43
+ rate is the mean of `1 / n_options` rather than a single fraction.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
44
 
45
+ ## Results
46
 
47
+ ![accuracy against latency](accuracy-vs-latency.png)
 
 
48
 
49
+ All nine systems on all 1,710 questions, 90 per decision type.
 
 
50
 
51
+ | System | Accuracy | Generated tokens | Latency |
 
 
 
 
 
52
  |---|---:|---:|---:|
53
+ | `claude-opus-5` | **0.834** | ~200 | ~1000 ms |
54
+ | `gpt-5.6` | 0.816 | ~200 | ~1200 ms |
55
+ | `this-that-model-1.1` | 0.775 | **0** | 30.9 ms |
56
+ | `glm-5.3` | 0.652 | ~200 | ~800 ms |
57
+ | `kimi-k3` | 0.522 | ~200 | ~1000 ms |
58
+ | `deepseek-v4.1-flash` | 0.511 | ~4 | ~800 ms |
59
+ | `deepseek-v4-pro` | 0.470 | ~4 | ~900 ms |
60
+ | `this-that-model-1.0` | 0.406 | 0 | 30.9 ms |
61
+ | `laya-typed-decisions` | 0.310 | 0 | **25 ms** |
62
+ | chance | 0.258 | — | — |
63
+
64
+ ## By decision type
65
+
66
+ ![accuracy by decision type](by-decision-type.png)
67
+
68
+ | family | chance | opus-5 | gpt-5.6 | 1.1 | glm-5.3 | kimi-k3 | ds-flash | ds-pro | 1.0 | laya |
69
+ |---|---:|---:|---:|---:|---:|---:|---:|---:|---:|---:|
70
+ | `knapsack_subset` | 0.084 | 0.133 | 0.167 | 0.678 | 0.144 | 0.156 | 0.122 | 0.200 | 0.267 | 0.067 |
71
+ | `cheapest_flip` | 0.250 | 0.700 | 0.600 | 0.500 | 0.400 | 0.367 | 0.522 | 0.289 | 0.156 | 0.256 |
72
+ | `weighted_aggregate` | 0.282 | 0.644 | 0.689 | 0.511 | 0.367 | 0.333 | 0.367 | 0.244 | 0.356 | 0.289 |
73
+ | `insufficient_information` | 0.167 | 0.833 | 0.833 | 0.444 | 0.689 | 0.444 | 0.489 | 0.422 | 0.189 | 0.167 |
74
+ | `lexicographic` | 0.267 | 0.667 | 0.622 | 0.633 | 0.689 | 0.367 | 0.444 | 0.422 | 0.333 | 0.356 |
75
+ | `joint_threshold` | 0.265 | 0.622 | 0.644 | 0.689 | 0.433 | 0.444 | 0.622 | 0.600 | 0.344 | 0.233 |
76
+ | `dominance_uncertainty` | 0.327 | 0.844 | 0.833 | 0.911 | 0.533 | 0.433 | 0.333 | 0.244 | 0.489 | 0.322 |
77
+ | `order_matters` | 0.363 | 0.989 | 0.989 | 0.822 | 0.533 | 0.322 | 0.356 | 0.311 | 0.456 | 0.411 |
78
+ | `fairness_vs_efficiency` | 0.322 | 0.978 | 0.922 | 0.744 | 0.733 | 0.444 | 0.367 | 0.500 | 0.233 | 0.311 |
79
+ | `cascade_fixpoint` | 0.284 | 0.978 | 0.889 | 0.678 | 0.611 | 0.478 | 0.467 | 0.400 | 0.367 | 0.367 |
80
+ | `exception_ladder` | 0.257 | 0.589 | 0.600 | 0.911 | 0.600 | 0.589 | 0.578 | 0.456 | 0.500 | 0.522 |
81
+ | `delegated_decider` | 0.319 | 0.933 | 0.833 | 0.800 | 0.889 | 0.456 | 0.411 | 0.389 | 0.356 | 0.378 |
82
+ | `opportunity_cost` | 0.311 | 1.000 | 0.989 | 1.000 | 0.700 | 0.400 | 0.378 | 0.378 | 0.411 | 0.189 |
83
+ | `lex_specialis` | 0.330 | 0.989 | 1.000 | 0.856 | 0.511 | 0.433 | 0.500 | 0.478 | 0.533 | 0.378 |
84
+ | `constrained_max` | 0.260 | 1.000 | 1.000 | 0.878 | 0.956 | 0.667 | 0.689 | 0.633 | 0.511 | 0.311 |
85
+ | `chain_k` | 0.242 | 0.956 | 0.933 | 0.867 | 0.789 | 0.789 | 0.711 | 0.667 | 0.500 | 0.500 |
86
+ | `authority_conflict` | 0.322 | 0.989 | 0.956 | 0.856 | 0.967 | 0.822 | 0.700 | 0.633 | 0.611 | 0.333 |
87
+ | `but_for_cause` | 0.200 | 1.000 | 1.000 | 0.944 | 1.000 | 0.967 | 0.711 | 0.733 | 0.411 | 0.467 |
88
+ | `value_of_information` | 0.050 | 1.000 | 1.000 | 1.000 | 0.844 | 1.000 | 0.944 | 0.922 | 0.689 | 0.033 |
89
+
90
+ ## What the table says that the ranking does not
91
+
92
+ **One decision type defeats almost everything.** On `knapsack_subset` — choose the group that fits
93
+ a budget — eight of the nine systems land between 0.07 and 0.27 against a chance rate of 0.084.
94
+ The ninth, a 1.88 B model that generates no tokens, reaches 0.678. Whatever that row measures, it
95
+ is not what model scale usually buys.
96
+
97
+ **Scale is not the axis.** `deepseek-v4-pro` scores below `deepseek-v4.1-flash`. `glm-5.3` at 0.652
98
+ sits above `kimi-k3` at 0.522. And a 1.88 B model sits above every hosted system except the two
99
+ largest, at a thirtieth of their latency.
100
+
101
+ **Every system has a floor, and they are not the same floor.** `weighted_aggregate` holds the best
102
+ system to 0.689 and `insufficient_information` holds `this-that-model-1.1` to 0.444 while
103
+ `claude-opus-5` reaches 0.833 there. Both ask for something the ranking hides: weigh several
104
+ numbers against each other, or judge that the state does not contain enough to decide at all.
105
+
106
+ **`value_of_information` separates cleanly.** Chance is 0.050 — the options are field names, so
107
+ guessing is close to hopeless — and the systems split into six at or near 1.000 and `laya` at 0.033.
108
+
109
+ **1.0's row is zero-shot.** This benchmark did not exist when that checkpoint was trained. The
110
+ distance from 0.406 to 0.775 is the same architecture with different training data.
111
 
112
  ## Licence
113
 
114
+ MIT.
_cx_10.json ADDED
@@ -0,0 +1,286 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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+ {
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+ "results": {
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+ "cx_chain_k": {
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+ "cx_knapsack_subset": {
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+ "cx_lex_specialis": {
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+ "cx_lexicographic": {
101
+ "n": 90,
102
+ "acc": 0.35555555555555557,
103
+ "chance": 0.267037037037037,
104
+ "no_answer": 0,
105
+ "median_ms": 25.253349915146828
106
+ },
107
+ "cx_opportunity_cost": {
108
+ "n": 90,
109
+ "acc": 0.18888888888888888,
110
+ "chance": 0.3111111111111113,
111
+ "no_answer": 0,
112
+ "median_ms": 25.197844952344894
113
+ },
114
+ "cx_order_matters": {
115
+ "n": 90,
116
+ "acc": 0.4111111111111111,
117
+ "chance": 0.3629629629629631,
118
+ "no_answer": 0,
119
+ "median_ms": 25.146376341581345
120
+ },
121
+ "cx_value_of_information": {
122
+ "n": 90,
123
+ "acc": 0.03333333333333333,
124
+ "chance": 0.04999999999999991,
125
+ "no_answer": 0,
126
+ "median_ms": 26.408791542053223
127
+ },
128
+ "cx_weighted_aggregate": {
129
+ "n": 90,
130
+ "acc": 0.28888888888888886,
131
+ "chance": 0.2822222222222221,
132
+ "no_answer": 0,
133
+ "median_ms": 25.228703394532204
134
+ },
135
+ "__all": {
136
+ "n": 1710,
137
+ "acc": 0.30994152046783624,
138
+ "chance": 0.2580012527258738,
139
+ "no_answer": 0,
140
+ "median_ms": 25.318972766399384,
141
+ "p90_ms": 26.03990212082863
142
+ }
143
+ }
_perfam.md ADDED
@@ -0,0 +1,21 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ | family | chance | opus-5 | gpt-5.6 | 1.1 | glm-5.3 | kimi-k3 | ds-flash | ds-pro | 1.0 | laya |
2
+ |---|---:|---:|---:|---:|---:|---:|---:|---:|---:|---:|
3
+ | `knapsack_subset` | 0.084 | 0.133 | 0.167 | 0.678 | 0.144 | 0.156 | 0.122 | 0.200 | 0.267 | 0.067 |
4
+ | `cheapest_flip` | 0.250 | 0.700 | 0.600 | 0.500 | 0.400 | 0.367 | 0.522 | 0.289 | 0.156 | 0.256 |
5
+ | `weighted_aggregate` | 0.282 | 0.644 | 0.689 | 0.511 | 0.367 | 0.333 | 0.367 | 0.244 | 0.356 | 0.289 |
6
+ | `insufficient_information` | 0.167 | 0.833 | 0.833 | 0.444 | 0.689 | 0.444 | 0.489 | 0.422 | 0.189 | 0.167 |
7
+ | `lexicographic` | 0.267 | 0.667 | 0.622 | 0.633 | 0.689 | 0.367 | 0.444 | 0.422 | 0.333 | 0.356 |
8
+ | `joint_threshold` | 0.265 | 0.622 | 0.644 | 0.689 | 0.433 | 0.444 | 0.622 | 0.600 | 0.344 | 0.233 |
9
+ | `dominance_uncertainty` | 0.327 | 0.844 | 0.833 | 0.911 | 0.533 | 0.433 | 0.333 | 0.244 | 0.489 | 0.322 |
10
+ | `order_matters` | 0.363 | 0.989 | 0.989 | 0.822 | 0.533 | 0.322 | 0.356 | 0.311 | 0.456 | 0.411 |
11
+ | `fairness_vs_efficiency` | 0.322 | 0.978 | 0.922 | 0.744 | 0.733 | 0.444 | 0.367 | 0.500 | 0.233 | 0.311 |
12
+ | `cascade_fixpoint` | 0.284 | 0.978 | 0.889 | 0.678 | 0.611 | 0.478 | 0.467 | 0.400 | 0.367 | 0.367 |
13
+ | `exception_ladder` | 0.257 | 0.589 | 0.600 | 0.911 | 0.600 | 0.589 | 0.578 | 0.456 | 0.500 | 0.522 |
14
+ | `delegated_decider` | 0.319 | 0.933 | 0.833 | 0.800 | 0.889 | 0.456 | 0.411 | 0.389 | 0.356 | 0.378 |
15
+ | `opportunity_cost` | 0.311 | 1.000 | 0.989 | 1.000 | 0.700 | 0.400 | 0.378 | 0.378 | 0.411 | 0.189 |
16
+ | `lex_specialis` | 0.330 | 0.989 | 1.000 | 0.856 | 0.511 | 0.433 | 0.500 | 0.478 | 0.533 | 0.378 |
17
+ | `constrained_max` | 0.260 | 1.000 | 1.000 | 0.878 | 0.956 | 0.667 | 0.689 | 0.633 | 0.511 | 0.311 |
18
+ | `chain_k` | 0.242 | 0.956 | 0.933 | 0.867 | 0.789 | 0.789 | 0.711 | 0.667 | 0.500 | 0.500 |
19
+ | `authority_conflict` | 0.322 | 0.989 | 0.956 | 0.856 | 0.967 | 0.822 | 0.700 | 0.633 | 0.611 | 0.333 |
20
+ | `but_for_cause` | 0.200 | 1.000 | 1.000 | 0.944 | 1.000 | 0.967 | 0.711 | 0.733 | 0.411 | 0.467 |
21
+ | `value_of_information` | 0.050 | 1.000 | 1.000 | 1.000 | 0.844 | 1.000 | 0.944 | 0.922 | 0.689 | 0.033 |
accuracy-vs-latency.png ADDED

Git LFS Details

  • SHA256: a31338a497e501f5ddb7001161f14ccdb6fa470bb61ee283eee695e25fc537e3
  • Pointer size: 131 Bytes
  • Size of remote file: 112 kB
by-decision-type.png ADDED

Git LFS Details

  • SHA256: 4e8f7595747f5c80d5e1b74e62576cba746cb5ecec9c0ef9fd39b25b347fab3b
  • Pointer size: 131 Bytes
  • Size of remote file: 209 kB
rebuild.py ADDED
@@ -0,0 +1,166 @@
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
+ #!/usr/bin/env python3
2
+ """Rebuild the two figures and the per-family table from whatever has been measured.
3
+
4
+ Kept on /mnt/c rather than /tmp: a reboot cleared the last copy of this and the figures it made,
5
+ while the API cache that cost two thousand dollars survived because it was not in /tmp.
6
+ """
7
+ import json, os, re, subprocess, sys
8
+ import numpy as np
9
+ import matplotlib
10
+ matplotlib.use("Agg")
11
+ import matplotlib.pyplot as plt
12
+
13
+ D = "/mnt/c/code/jev/decider"
14
+ OUT = "/mnt/c/code/jev/hf-dataset"
15
+ INK, MUTED, GRID = "#1a1a1a", "#6b7280", "#e5e7eb"
16
+ OURS, HOSTED, SMALL = "#1f4e79", "#9aa5b1", "#c25e00"
17
+ CHANCE = 0.258
18
+
19
+
20
+ def api_log(path, model):
21
+ per, cur = {}, None
22
+ if not os.path.exists(path):
23
+ return per
24
+ for line in open(path):
25
+ m = re.match(r"^#+ (\S+) #+", line.strip())
26
+ if m:
27
+ cur = m.group(1); continue
28
+ if cur != model:
29
+ continue
30
+ m = re.match(r"^\s+cx_(\S+)\s+acc ([0-9.]+)\s+\(chance ([0-9.]+)\)", line)
31
+ if m:
32
+ per[m.group(1)] = (float(m.group(2)), float(m.group(3)))
33
+ return per
34
+
35
+
36
+ def local(path):
37
+ try:
38
+ r = json.load(open(path)).get("results", {})
39
+ except Exception:
40
+ return {}
41
+ return {k[3:]: (v["acc"], None) for k, v in r.items()
42
+ if k.startswith("cx_") and isinstance(v, dict) and "acc" in v}
43
+
44
+
45
+ def laya(path):
46
+ try:
47
+ d = json.load(open(path))
48
+ except Exception:
49
+ return {}
50
+ return {k[3:]: (v["acc"], v.get("chance")) for k, v in d.items()
51
+ if k.startswith("cx_") and isinstance(v, dict) and "acc" in v}
52
+
53
+
54
+ SYS = [
55
+ ("opus-5", "claude-opus-5", api_log("/tmp/cx_opus2.log", "claude-opus-5"), 1000, "hosted"),
56
+ ("gpt-5.6", "gpt-5.6", api_log("/tmp/cx_gpt.log", "gpt-5.6"), 1200, "hosted"),
57
+ ("1.1", "this-that-model-1.1", local(f"{OUT}/_cx_v11.json"), 30.9, "ours"),
58
+ ("glm-5.3", "glm-5.3", api_log("/tmp/cx_four.log", "glm-5.3"), 800, "hosted"),
59
+ ("kimi-k3", "kimi-k3", api_log("/tmp/cx_four.log", "kimi-k3"), 1000, "hosted"),
60
+ ("ds-flash", "deepseek-v4.1-flash", api_log("/tmp/cx_four.log", "deepseek-v4.1-flash"), 800, "hosted"),
61
+ ("ds-pro", "deepseek-v4-pro", api_log("/tmp/cx_four.log", "deepseek-v4-pro"), 900, "hosted"),
62
+ ("1.0", "this-that-model-1.0", local(f"{OUT}/_cx_10.json"), 30.9, "ours"),
63
+ ("laya", "laya-typed-decisions", laya(f"{OUT}/_laya.json"), 25, "small"),
64
+ ]
65
+
66
+ overall = {}
67
+ for short, full, per, ms, kind in SYS:
68
+ if per:
69
+ overall[short] = sum(v[0] for v in per.values()) / len(per)
70
+
71
+ print(f"{'system':22s} {'overall':>8s} families")
72
+ for short, full, per, ms, kind in SYS:
73
+ a = f"{overall[short]:.3f}" if short in overall else "--"
74
+ print(f"{full:22s} {a:>8s} {len(per)}/19")
75
+
76
+
77
+ # ---------------------------------------------------------------- figure 1: accuracy vs latency
78
+ fig, ax = plt.subplots(figsize=(8.6, 5.3), dpi=200)
79
+ fig.patch.set_facecolor("white"); ax.set_facecolor("white")
80
+ ax.axhspan(0, CHANCE, color="#f3f4f6", zorder=0)
81
+ ax.axhline(CHANCE, color=MUTED, lw=1, ls=(0, (4, 3)), zorder=1)
82
+ ax.text(5200, CHANCE - 0.013, "chance", color=MUTED, fontsize=9, ha="right", va="top")
83
+
84
+ OFF = {"opus-5": (1.12, 0.016, "left"), "gpt-5.6": (1.12, -0.004, "left"),
85
+ "1.1": (1.22, 0.0, "left"), "glm-5.3": (0.88, 0.0, "right"),
86
+ "kimi-k3": (1.12, 0.014, "left"), "ds-flash": (0.88, -0.002, "right"),
87
+ "ds-pro": (1.12, -0.014, "left"), "1.0": (1.22, 0.0, "left"),
88
+ "laya": (1.25, 0.0, "left")}
89
+ for short, full, per, ms, kind in SYS:
90
+ if short not in overall:
91
+ continue
92
+ c = {"ours": OURS, "hosted": HOSTED, "small": SMALL}[kind]
93
+ acc = overall[short]
94
+ ax.scatter(ms, acc, s=150 if kind != "hosted" else 90, color=c, zorder=3,
95
+ edgecolor="white", linewidth=1.6)
96
+ dx, dy, ha = OFF[short]
97
+ ax.annotate(full, (ms * dx, acc + dy), fontsize=9.5,
98
+ color=INK if kind != "hosted" else MUTED, ha=ha, va="center",
99
+ fontweight="bold" if kind == "ours" else "normal", zorder=4)
100
+
101
+ ax.set_xscale("log"); ax.set_xlim(15, 6000); ax.set_ylim(0.20, 0.92)
102
+ ax.set_xlabel("latency per decision (ms, log scale)", fontsize=10.5, color=INK)
103
+ ax.set_ylabel("accuracy", fontsize=10.5, color=INK)
104
+ ax.set_title("1,710 complex decisions: what each answer costs in time",
105
+ fontsize=12.5, color=INK, pad=14, loc="left")
106
+ ax.set_xticks([25, 50, 100, 250, 500, 1000, 2000])
107
+ ax.set_xticklabels(["25", "50", "100", "250", "500", "1000", "2000"])
108
+ ax.grid(axis="y", color=GRID, lw=0.8); ax.set_axisbelow(True)
109
+ for s_ in ("top", "right"):
110
+ ax.spines[s_].set_visible(False)
111
+ for s_ in ("left", "bottom"):
112
+ ax.spines[s_].set_color(GRID)
113
+ ax.tick_params(colors=MUTED, labelsize=9.5)
114
+ ax.annotate("", xy=(33, overall["1.1"]), xytext=(950, overall["opus-5"]),
115
+ arrowprops=dict(arrowstyle="-", color=GRID, lw=1.2, ls=(0, (3, 3))), zorder=1)
116
+ ax.text(165, 0.807, f"{overall['opus-5']-overall['1.1']:.3f} accuracy, 32x the speed",
117
+ fontsize=9, color=MUTED, ha="center")
118
+ fig.tight_layout(); fig.savefig(f"{OUT}/accuracy-vs-latency.png", facecolor="white")
119
+ print("wrote accuracy-vs-latency.png")
120
+
121
+ # ------------------------------------------------------------------ figure 2: per-family matrix
122
+ cols = [s for s, _, p, _, _ in SYS if p]
123
+ fams = sorted({f for _, _, p, _, _ in SYS for f in p})
124
+ M = np.array([[SYS[[c[0] for c in SYS].index(c)][2].get(f, (np.nan,))[0] for c in cols]
125
+ for f in fams])
126
+ order = np.argsort(np.nanmean(M, axis=1))
127
+ M, fams = M[order], [fams[i] for i in order]
128
+
129
+ fig, ax = plt.subplots(figsize=(10.4, 6.8), dpi=200)
130
+ fig.patch.set_facecolor("white")
131
+ cmap = matplotlib.colors.LinearSegmentedColormap.from_list(
132
+ "one_hue", ["#f7fbff", "#cfe0f0", "#8fb8db", "#4a89bd", "#1f4e79"])
133
+ cmap.set_bad("#f0f0f0")
134
+ im = ax.imshow(M, cmap=cmap, vmin=0.0, vmax=1.0, aspect="auto")
135
+ ax.set_xticks(range(len(cols))); ax.set_xticklabels(cols, fontsize=9.5, color=INK)
136
+ ax.set_yticks(range(len(fams)))
137
+ ax.set_yticklabels([f.replace("_", " ") for f in fams], fontsize=9.5, color=INK)
138
+ ax.tick_params(length=0)
139
+ for s_ in ax.spines.values():
140
+ s_.set_visible(False)
141
+ ax.set_xticks(np.arange(-.5, len(cols), 1), minor=True)
142
+ ax.set_yticks(np.arange(-.5, len(fams), 1), minor=True)
143
+ ax.grid(which="minor", color="white", lw=2); ax.tick_params(which="minor", length=0)
144
+ for i in range(M.shape[0]):
145
+ for j in range(M.shape[1]):
146
+ v = M[i, j]
147
+ if not np.isnan(v) and (v >= 0.90 or v <= 0.30):
148
+ ax.text(j, i, f"{v:.2f}", ha="center", va="center", fontsize=8,
149
+ color="white" if v >= 0.90 else MUTED)
150
+ ax.set_title("accuracy by decision type, hardest first", fontsize=12.5, color=INK, pad=14, loc="left")
151
+ cb = fig.colorbar(im, ax=ax, fraction=0.022, pad=0.015)
152
+ cb.outline.set_visible(False)
153
+ cb.ax.tick_params(colors=MUTED, labelsize=9, length=0)
154
+ cb.set_label("accuracy", color=MUTED, fontsize=9.5)
155
+ fig.tight_layout(); fig.savefig(f"{OUT}/by-decision-type.png", facecolor="white")
156
+ print("wrote by-decision-type.png")
157
+
158
+ # the markdown table, for the card
159
+ with open(f"{OUT}/_perfam.md", "w") as fh:
160
+ fh.write("| family | chance | " + " | ".join(cols) + " |\n")
161
+ fh.write("|---|---:|" + "---:|" * len(cols) + "\n")
162
+ for i, f in enumerate(fams):
163
+ ch = next((p[f][1] for _, _, p, _, _ in SYS if f in p and p[f][1]), float("nan"))
164
+ row = " | ".join("--" if np.isnan(M[i, j]) else f"{M[i, j]:.3f}" for j in range(len(cols)))
165
+ fh.write(f"| `{f}` | {ch:.3f} | {row} |\n")
166
+ print("wrote _perfam.md")