---
dataset_info:
- config_name: aligned
  features:
  - name: Tf
    sequence: float32
  - name: X
    sequence: float32
  - name: Y
    sequence: float32
  - name: coefficients
    sequence: float32
  - name: f
    sequence: float32
  splits:
  - name: train
    num_bytes: 16360000
    num_examples: 10000
  - name: test
    num_bytes: 1636000
    num_examples: 1000
  download_size: 20518973
  dataset_size: 17996000
- config_name: default
  features:
  - name: Tf
    sequence: float32
  - name: X
    sequence: float32
  - name: Y
    sequence: float32
  - name: coefficients
    sequence: float32
  - name: f
    sequence: float32
  splits:
  - name: train
    num_bytes: 16360000
    num_examples: 10000
  - name: test
    num_bytes: 1636000
    num_examples: 1000
  download_size: 27174910
  dataset_size: 17996000
configs:
- config_name: aligned
  data_files:
  - split: train
    path: aligned/train-*
  - split: test
    path: aligned/test-*
- config_name: default
  data_files:
  - split: train
    path: data/train-*
  - split: test
    path: data/test-*
---

# Derivative Polynomial Dataset

## Dataset Summary

The Derivative Polynomial dataset is a collection of polynomial functions and their
derivatives. The dataset is generated using polynomial functions and their derivatives.

Plot from the dataset:

![Derivative Polynomial Dataset](plot.png)

## Dataset Structure

The dataset is structured as follows.

### Subsets

The dataset is divided into two subsets:

- `default`: the default dataset.
- `aligned`: the `X` values are aligned for all functions.

### Splits

The dataset is divided into two splits:

- `train`: the training split, consisting of 10,000 rows.
- `test`: the test split, consisting of 1,000 rows.

### Columns

Each row in the dataset consists of the following columns:

- `X`: the input value of the function f.
- `f`: the value of the function f at X.
- `Y`: the input value of the derivative Tf.
- `Tf`: the value of the derivative Tf at Y.

### Data

The dataset contains the following data:

| Column  | Shape   | Type    |
|---------|---------|---------|
| X       | (100,)  | float   |
| f       | (100,)  | float   |
| Y       | (100,)  | float   |
| Tf      | (100,)  | float   |