|Initial state and first 5 steps of evaluation:|
|The nth row of the image represents the nth step of evaluation of the combinator.|
Graph of Evaluated Expression Lengths:
|As the combinator is evaluated, its length changes. This graph plots length of combinator against number of steps of evaluation.|
Statistical Analysis of Halting Time:
|This combinator has 11 leaves.
This combinator falls within the 0th percentile of a random sample of 1000 combinators with leaf size 11, halting after 2 steps - on average, 0.8% of combinators from this sample halt before this one.
A graph demonstrating this follows:|
Machine Learning Analysis of Halting:
|A machine learning model (using logistic regression) has been trained on a sample of 1456 rasterised images of the first 5 steps of random SK combinator expressions with varying leaf lengths, achieving 87.7% accuracy when classifying a test set of 1454 random SK combinator expressions as halting or non halting (before 40 steps).|
|This particular expression, which halts after 2 step(s), is classified as having a 86.1% probability of halting, and a 13.9% probability of not halting (before 40 steps).|
|Halted in 1 step(s)|