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Add method coverage snapshot for RuleBased vs Risch integration#75

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Add method coverage snapshot for RuleBased vs Risch integration#75
Copilot wants to merge 7 commits intomainfrom
copilot/add-integration-methods-overview

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Copilot AI commented Dec 29, 2025

The integration methods lacked a concise, reproducible overview of which expression classes each method can handle.

  • Documentation: Added a “Method Coverage Snapshot” page summarizing success counts for RuleBasedMethod and RischMethod across key function classes (polynomials, rational variants, exponentials, logs, trig, hyperbolic, multi-symbol).
  • Navigation: Linked the new coverage page into the docs manual.
  • Examples: Provided reproducible expression sets and a clear success criterion (no unresolved integrals) for each class.

Example snippet:

using SymbolicIntegration, Symbolics
@variables x y
rbm   = RuleBasedMethod()
risch = RischMethod()

success(res) = res !== nothing && !SymbolicIntegration.contains_int(Symbolics.unwrap(res))
success(integrate(exp(x)/(1 + exp(2*x)), x, rbm))   # true in snapshot
success(integrate(exp(x)/(1 + exp(2*x)), x, risch)) # false in snapshot

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Original prompt

this package solves integrals with two methods, risch and rulebased, callable like this:

using SymbolicIntegration, Symbolics
@variables x
integrate(x^2, x, RuleBasedMethod())
integrate(x^2, x, RischMethod())

i want to have a overwiew on wich method is capable of integrating wich expression.so i want you to come up with multiple classes of functions, and for each of them come up with 5 expressions to integrate and try to integrate them with both methods, to see if they are succesful or not. Then you should make a table with two columns (the methods) and as many rows as calsses of functions to sun up your findings

This is a example of the classes of functions:
polynomials, rational functions with positive and negative degree, exponentials, logarithms, sin and cos, tangent, other trigonometric functions, hyperbolic functions, expressions with more thant one symbolic variable


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Copilot AI and others added 6 commits December 29, 2025 18:11
Co-authored-by: Bumblebee00 <54026028+Bumblebee00@users.noreply.github.com>
Co-authored-by: Bumblebee00 <54026028+Bumblebee00@users.noreply.github.com>
Co-authored-by: Bumblebee00 <54026028+Bumblebee00@users.noreply.github.com>
Co-authored-by: Bumblebee00 <54026028+Bumblebee00@users.noreply.github.com>
Co-authored-by: Bumblebee00 <54026028+Bumblebee00@users.noreply.github.com>
Co-authored-by: Bumblebee00 <54026028+Bumblebee00@users.noreply.github.com>
Copilot AI changed the title [WIP] Add overview of integration methods for various function classes Add method coverage snapshot for RuleBased vs Risch integration Dec 29, 2025
Copilot AI requested a review from Bumblebee00 December 29, 2025 18:16
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