Problem Analysis #20

GPT-5.5 · Run 1

Correct

9.36s

563 toks

API · no tools. This is the prompt and response recorded for this attempt; a full solution may not have been returned.

Problem Statement

Return a single integer only. The problem has been revised so that no final answer is an irrational number, a parameterized expression, a range, a proof, a drawing, a graph, a locus equation, or a region description.

For

f(\theta)=\sin\theta-\theta+\frac{\theta^3}{6}

on $-1\le\theta\le1$ , let $M$ be the maximum value and $m$ be the minimum value. The individual values contain $\sin1$ , so instead compute the integer

M+m.

Ground Truth

Recorded model response / solution

Reasoning Process

\boxed{0}

Final Model Output

Comparative Analysis (P20) (Average across runs)

Averages use reported measurements only. Missing usage is not treated as zero.

Avg Time Taken

K-EXAONE-236B-A23B

61.7

DeepSeek V4 Pro

24.7

Solar Pro 3

10.6

GPT-5.5

9.9

Gemini 3.5 Flash

7.9

Claude Opus 4.8

2.4

KT Mi:dm 2.0 Base Instruct

2.1

Avg Token Usage

K-EXAONE-236B-A23B

6031.7

Solar Pro 3

1824.3

Gemini 3.5 Flash

1761.0

KT Mi:dm 2.0 Base Instruct

1301.0

DeepSeek V4 Pro

1147.3

GPT-5.5

611.0

Claude Opus 4.8

417.3