Integration Test-suite Results

The results of running Rubi and Mathematica on the integration test-suite are available for viewing as pdf files. For each problem on which a system produces a deficient result, the following items are shown:

An expression’s type number is determined by the highest level of functions it involves:

Rubi’s Test Results

Rubi’s test results on the 72,000+ integration problems in the test-suite are available as a single pdf file. At the end of the file is a pie chart summarizing the results. The chart is divided into colored slices as follows:

Mathematica’s Test Results

Because of their large size, Mathematica’s test results on the 72,000+ integration problems in the test-suite are divided into separate pdf files based on the type of the integrand being tested. At the end of each file is a pie chart summarizing the results. The chart is divided into colored slices as follows:

0 Independent test-suites

1 Algebraic functions

1.1 Binomial products

1.1.1 Linear
1.1.2 Quadratic
1.1.3 General
1.1.4 Improper

1.2 Trinomial products

1.2.1 Quadratic
1.2.2 Quartic
1.2.3 General
1.2.4 Improper

1.3 Miscellaneous

2 Exponentials

3 Logarithms

4 Trig functions

4.1 Sine

4.2 Cosine

4.3 Tangent

4.4 Cotangent

4.5 Secant

4.6 Cosecant

4.7 Miscellaneous

5 Inverse trig functions

5.1 Inverse sine

5.2 Inverse cosine

5.3 Inverse tangent

5.4 Inverse cotangent

5.5 Inverse secant

5.6 Inverse cosecant

6 Hyperbolic functions

6.1 Hyperbolic sine

6.2 Hyperbolic cosine

6.3 Hyperbolic tangent

6.4 Hyperbolic cotangent

6.5 Hyperbolic secant

6.6 Hyperbolic cosecant

6.7 Miscellaneous

7 Inverse hyperbolic functions

7.1 Inverse hyperbolic sine

7.2 Inverse hyperbolic cosine

7.3 Inverse hyperbolic tangent

7.4 Inverse hyperbolic cotangent

7.5 Inverse hyperbolic secant

7.6 Inverse hyperbolic cosecant

8 Special functions