task_categories:translation size_categories:10M<n<100M license:apache-2.0 arxiv:1912.01412 region:us
---
license: apache-2.0
task_categories:
- translation
pretty_name: 'SMDB: Database of math expressions, in prefix representation, and their
  derivatives'
size_categories:
- 10M<n<100M
dataset_info:
  features:
  - name: Expression
    dtype: string
  - name: Derivative
    dtype: string
  splits:
  - name: train
    num_bytes: 31891613727.67312
    num_examples: 77244284
  - name: test
    num_bytes: 161068902.1634406
    num_examples: 390123
  - name: valid
    num_bytes: 161068902.1634406
    num_examples: 390123
  download_size: 10511064369
  dataset_size: 32213751532.0
---

***SMDB (symbolic mathematics database) Derivatives dataset***

This is a collection of expressions generated using the method of Lample, et al (https://arxiv.org/abs/1912.01412). 

Each expression draws from a set list of operations, constants (-5..5, excluding zero), e, pi, and symbols (x0..x7). The derivatives are all with respect to x0 (the assumption being a derivative by another symbol is the same, modulo symbol renaming).