Hilde · Decision models · answer key v2

Decision model

Liquid d1-ultra

1 question per request

77.1% of the 2,198 questions right (75.3% to 78.8%, 95% interval). Back to the leaderboard.

How we called it

Kind
Decision model
Access
Liquid AI decisions API
Paid as
Provider service
Model ID
d1-ultra
Confidence from
Option score
Run
199, 16 October 2026

Settings

Reasoning
off
Request format
1 question per request
Requests at once
1
Temperature
not recorded
Harness seed
0
Harness commit
997f1d0fb734
Prompt version
254597b8be16

Results

QuestionsAccuracy95% intervalRight
All questions77.1%75.3% to 78.8%1,694 of 2,198
Reading92.1%89.8% to 93.9%604 of 656
Grammar70.7%68.4% to 72.9%1,090 of 1,542

Comparison group: mn. Compare with another setup.

Accuracy by topic
TopicPartAccuracyRight
Word and phrase meaningsReading88.5%116 of 131
Sentence meaningsReading96.1%148 of 154
How a writer explains and develops ideasReading85.7%60 of 70
Topic and main point of a paragraphReading95.9%94 of 98
How a paragraph fits togetherReading90.6%96 of 106
Details that support a paragraph’s main pointReading92.8%90 of 97
Word types, such as nouns and verbsGrammar78.6%110 of 140
Groups of words built around a nounGrammar76.9%50 of 65
Verbs and their formsGrammar82.4%75 of 91
Verb forms used like nouns or modifiersGrammar76.4%55 of 72
Word endings and what they doGrammar68.4%54 of 79
How words are builtGrammar46.4%32 of 69
The roles of words and phrases in a sentenceGrammar72.4%105 of 145
How verbs show who acts and who receives the actionGrammar77.0%57 of 74
Types of sentencesGrammar75.3%64 of 85
Questions combining several grammar topicsGrammar61.8%136 of 220
Sound patterns and changesGrammar39.0%30 of 77
SpellingGrammar68.4%91 of 133
PunctuationGrammar75.2%88 of 117
Problems in sentence wordingGrammar81.7%143 of 175

Page images (preliminary)

Preliminary: these numbers are not final and may change. This setup is condition A of the Page images tab, which asks the 763 questions with underlined or numbered words as text (A), as a page image (B), as both (C) and through OCR models (D); the share answered right, with its 95% interval.

ModelA · text onlyaccuracy, higher is betterB · image onlyaccuracy, higher is betterC · text plus imageaccuracy, higher is betterBest OCR routeaccuracy, higher is better
Liquid d1-ultra1 question per request73.5%70.3% to 76.5%50.1%46.5% to 53.6%72.1%68.8% to 75.2%67.1%via Surya OCR 263.7% to 70.3%

Confidence

Answers kept at 99% or more
90, of which 0 wrong (share right: 95.9% to 100.0%, 95% interval); 2,108 skipped, the model less than 99% sure
Calibration gap
3.6 points
AUROC, all questions
0.85 0.83 to 0.87
AUROC, reading
0.91 0.88 to 0.93
AUROC, grammar
0.81 0.79 to 0.83
Brier score
0.129
Accuracy of its surest answers
most confident fifth: 100.0% right; most confident half: 95.7% right; most confident four fifths: 85.9% right
Typical score of a right answer
88.4%
Typical score of a wrong answer
47.5%

Repeats

Run 5 times on all questions.

Answers changed in 5 runs
375 of 2,198
Same wrong answer in all 5
294 of 2,198
Wrong in at least one run
669 of 2,198
Accuracy in each run
77.1%, 76.7%, 75.9%, 76.7%, 76.0%

Latency

Latency, median request
0.223 s (this run)
Latency, 90th percentile
0.351 s
Requests at once
1
Throughput
242.0 questions per minute of request time
Request time
9.1 minutes, over the requests whose answers were kept

Latency: the time from sending one request to receiving its answer, measured from our computer, network and any retries within the request included. Request time: the time at least one request was in flight, over the requests whose answers were kept. It is not the run's elapsed time: it leaves out requests that failed and any pause before a run was resumed.

Cost

$ per 1,000 questions
$0.014
Whole run
$0.032
Basis
Estimated from published prices and recorded token usage
Price
$0.042 input, output free per 1M tokens (source, 2026-10-16)
Input tokens per question
341
Output tokens per question
0

Going first in front of an LLM

Replay of recorded answers, cutoff chosen on half the questions, averaged over the splits. Savings are estimates from API prices; the Method page explains how.

LLM behind itShare takenAccuracy changeSaving
Gemini 3.8 Flashhigh reasoning · 16 questions per request34.0%−0.09 points33%
GPT-6 Astrahigh reasoning · 16 questions per request34.2%−0.06 points34%
GPT-6.1 Solhigh reasoning · 16 questions per request34.2%−0.07 points33%
GPT-6 Astralow reasoning · 16 questions per request34.2%−0.06 points34%
GPT-6 Astralow reasoning · 1 question per request33.4%−0.07 points33%
Gemini 3.8 Flashlow reasoning · 1 question per request34.3%−0.12 points33%
GPT-6.1 Sollow reasoning · 1 question per request35.3%−0.08 points35%
GPT-6.1 Sollow reasoning · 16 questions per request34.3%−0.07 points33%
Claude Opus 5.5high reasoning · 16 questions per request36.8%−0.06 points37%
GPT-6.1 Terrahigh reasoning · 16 questions per request34.7%−0.06 points32%
Claude Opus 5.5low reasoning · 1 question per request37.8%−0.10 points38%
Gemini 3.8 Flashlow reasoning · 16 questions per request33.1%−0.11 points28%
GPT-6.1 Terralow reasoning · 16 questions per request36.2%−0.08 points33%
Claude Opus 5.5low reasoning · 16 questions per request45.1%−0.17 points45%
Claude Sonnet 5.5high reasoning · 1 question per request46.3%−0.32 points46%
Claude Sonnet 5.5high reasoning · 16 questions per request75.4%−0.07 points75%