This is a complete worked out example of the DDSET algorithm 1 presented at ISSTA’20. The full Jupyter notebook in runnable form can be downloaded here. Finally, the replication package for the paper is also available here.

DDSet is a technique that can generalize a fault inducing input to an abstract pattern that can bue used to both understand what kind of inputs induce the fault, and also to produce numerous other fault inducing inputs of the same pattern. Given a faulty calculator program that fails on nested parenthesis, it can take inputs such as ((4)) and extract the underlying general pattern ((<expr>)). It does this by first parsing the input, and then repeatedly replacing parts of the failure inducing inputs with randomly generated filler values, and trying to see if we can still trigger the failure. This pattern can then be used by the developer to generate newer inputs such as ((34 + 887)) or ((739961 / 329 - 5)) or ((-34334)) by simply generating a filler that corresponds to <expr> using any grammar fuzzer.

Note that if a grammar is not available, one can always mine one from your program.

This notebook takes you through the entire algorithm step by step.

We start by importing the prerequisites.

In [1]:

## Expression Example

### Predicate

First, we define a way to capture the status of an input. There can be four outcomes when an input is executed:

• Success (failure condition reproduced)
• Failed (failure condition not reproduced)
• Invalid (Did not reach failure condition – possibly semantically invalid)
• Timeout (equivalant to Failed)

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Next, we define our predicate. It is a simple test for doubled parenthesis such as ((..))

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We also define an input.

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We verify that we can reproduce the failing condition correctly.

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### Grammar

A context-free grammar is represented as a Python dict, with each nonterminal symbol forming a key, and each nonterminal defined by a list of expansion rules. For example, the expression grammar for parsing arithmetic expressions is given below.

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Note the convetion we used: Each nonterminal is enclosed in angle brackets. E.g. <expr>. We now define a function that can distinguish terminal symbols from nonterminals.

The is_nt() function checks if the given node is a terminal or not.

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#### The parser

Given the grammar, and an input, we can parse it into a derivation tree. The Parser below is from fuzzingbook.org, and provides a generic context-free parser. This is present in the src directory.

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How do we check that our parse succeeded? We can convert the derivation tree back to the original string and check for equality.

The tree_to_string() function converts a derivation tree to its original string.

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'1 + ((2 * 3 / 4))'


#### Graphical trees

While converting to strings are easy, it is unsatisfying. We want to make our output look pretty, and inspect the tree structure of the parsed tree. So we define graphical tree display (code from fuzzingbook)

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We are now ready to display the tree structure.

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## Reduction

We are now ready to define our delta debugging reduction phase. We use the Perses algorithm. The algorithm is as follows: We start the root, and recursively go down the child nodes. For each node, we check if that node can be replaced by a subtree with the same nonterminal, and still reproduce the failure, and find the smallest such tree (length determined by number of leaves).

Since this procedure can result in multiple trees, the tree to work on is chosen based on a priority queue where the priority is given to the smallest tree.

The particular node chosen to replace the current node is determined based first on its numer of leaf nodes, and then on its rank in a priority queue, where the priority is determined by the depth of the subtree from the current node. That is, a child gets priority over a grand child.

We first have to define a way to address a specific node.

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'((2 * 3 / 4))'


For the path, we simply use a list of numbers indicating the child node. For example, in the above, the path would be [0, 2, 0]

Given a path, get_child() will simply return the node at the path.

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'((2 * 3 / 4))'


We also need a way to replace one node with another. This is done by replace_path().

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'((2 * 3 / 4))'


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'1 + '


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'1 + x'


### Priority queue

For perses reduction, one needs a way to count the number of leaf nodes to determine the priority of a node. This is done by count_leaves()

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11


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3


We also define a helper that simply counts the internal nodes.

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25


Next, we need to maintain a priority queue of the [(tree, path)]. The essential idea is to prioritize the items first by the number of leaves in the full tree (that is, the smallest tree that we have currently gets priority), then next by the number of leaves in the node pointed to by path, and finally, tie break by the insertion order (ecount).

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We define another helper function nt_group() that groups all nonterminals that have the same name. These are used to determine the nodes that can be used to replace one node.

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Out [42]:

<start>
1 +
<expr>
1 +

<term>
1
<factor>
1
<integer>
1
<digit>
1


What are the compatible nodes? These are all the nodes that have the same nonterminal name, and is a descendent of the current node. Further, if the nonterminal allows empty node, then this is the first in the list. This is defined by compatible_nodes()

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Out [44]:

('<expr>',
[('<term>', [('<factor>', [('<integer>', [('<digit>', [('1', [])])])])]),
(' + ', []),
('<expr>', [])])


In [45]:

Out [45]:

[(0,
('<expr>',
[('<term>', [('<factor>', [('<integer>', [('<digit>', [('1', [])])])])]),
(' + ', []),
('<expr>', [])])),
(1, ('<expr>', []))]


Some programming languages have tokens which are first level lexical elements. The parser is often defined using the lexer tokens. We do not want to try to reduce tokens further. So we define a way to identify them (we have to keep in mind when we produce grammars).

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### Perses reduction

We finally define the reduction algorithm. The implementation of Perses is given in reduction(). The essential idea is as follows:

1. We have a priority queue of (tree, path_to_node) structures, where node is a node within the tree.
• The highest priority is given to the smallest tree.
• With in the nodes in the same tree, priority is given to nodes with smallest number of leaves
• In case of tie break, the shallowest subnode gets the highest priority (i.e child has higher priority over grand child, and empty node has the highest priority since it is a peer of the current node).
2. We pick each nodes, and find compatible subnodes that reproduce the failure.
3. Each compatible node and the corresponding tree is put back into the priority queue.
4. If no child nodes were found that could replace the current node, then we add each children with the current tree into the priority queue. (If we had to recurse into the child nodes, then the next tree that will get picked will be a different tree.)

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'((4))'


## A Fuzzer

In order to define abstraction, we need to be able to generate values based on a grammar. Our fuzzer is able to do that.

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### The implementation

The fuzzer tries to randomly choose an expansion when more than one expansion is available. If however, it goes beyond max_depth, then it chooses the cheapest nodes. The cheapest nodes are those nodes with minimum further expansion (no recursion).

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Out [53]:

'-5.2 / 1628'


## Abstraction

We can now start to define abstraction.

### Mark the abstract nodes

Give a list of paths that were verified as abstract, we go through each, and mark them abstract in the same tree.

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('<start>',
[('<expr>',
[('<term>', [('<factor>', [('<integer>', [('<digit>', [('1', [])])])])]),
(' + ', []),
('<expr>', [])],
{'abstract': True})])


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Out [57]:

('<start>',
[('<expr>',
[('<term>',
[('<factor>', [('<integer>', [('<digit>', [('1', [])])])])],
{'abstract': True}),
(' + ', []),
('<expr>', [], {'abstract': True})])])


A method to mark everything else as concrete.

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Out [59]:

('<start>',
[('<expr>',
[('<term>',
[('<factor>',
[('<integer>',
[('<digit>', [('1', [], {'abstract': False})], {'abstract': False})],
{'abstract': False})],
{'abstract': False})],
{'abstract': True}),
(' + ', [], {'abstract': False}),
('<expr>', [], {'abstract': True})],
{'abstract': False})],
{'abstract': False})


A way to display the abstracted tree

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Out [61]:

Next, we define a method that given a list of paths, will replace each of these nodes with random values.

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Out [63]:

('<start>',
[('<expr>',
[['<term>',
[('(3037 / 27.11 - 20.394 * +(4.7 * 1.7 / 3 + 7.0 + 4.2 + 5) / 1.4 / 61) / (--8831) * 882 / 4 * 2 / (69.71 + 0 / 4.9 * 6.7) * -7.3 * +--5.2 * ++6.6',
[])]],
(' + ', [], {'abstract': False}),
['<expr>',
[('85.46 * 0 * (-(2.0 + 2.3 - 1) / 575.6 / -(8) / +6 - 3 - +(0) * +5 + -4 * 4.9 * 1.8 + 4.9 - 4.4 + 9.5)',
[])]]],
{'abstract': False})],
{'abstract': False})


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Out [64]:

A wrapper for the replace_arr_with_random_values()

In [65]:

### Check if we can generalize a node

We now define can_generalize(). This function takes a current path, the derivation tree, the grammar, predicate and a list of unverified paths the maximum number of checks (max_checks), and produces max_checks number of inputs where every node in unverified and the current node in tval is replaced with random values. This is then checked to see if the resulting input reproduces the failure. This way, we can verify that tval can be generalized even when other abstract nodes are replaced with random values.

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False


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True


The abstraction() uses can_generalize() to check whether each node can be abstracted. The main job of abstraction() is to recurse into the child nodes when a previously abstract node is marked as concrete.

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0 check: <expr> St.unchecked
1 check: <term> St.unchecked
2 check: <factor> St.unchecked
3 check: <expr> St.unchecked
4 check: <term> St.unchecked
5 check: <factor> St.unchecked
6 check: <expr> St.unchecked
abstract: unverified <expr>

[([0, 0, 0, 1, 0, 0, 1], <St.unverified: -1>)]


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Out [78]:

### Isolation

To isolate independent causes, We first collect all nodes that can be independently generalized, and then check whether they are still generalizable even when other abstract marked nodes are replaced with random values.

Note: As of now, we check each abstraction independently of others, and then merge them which necessitates isolation later. An altrnative route is to simply accumulate abstractions as your find them, and when generating, regenerate each abstract node that you have accumulated. With this, we can be sure that each node that we mark as abstract is truly abstract. A problem here is that of semantic validity. That is, if say the first abstraction has only 0.5 chance of producing a valid input, and the next abstraction candidate has again only 0.5 chance of producing a valid input, combining them together will reduce the probability of valid input in any generation to 0.25, and as abstractions accumulate, the probability of generating semantically valid inputs drop. Hence, we instead identify them independently and later merge them, with the trade off being a later isolation step.

Another difference is that during isolation we leave every possibly causative part intact. That is, if A or B is necessary for fault reproduction, we leave both A and B as concrete. A user may instead change it to leave either A or B as concrete.

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'((4)) + ((2 * 3 / 4))'


In [83]:

Out [83]:

('<start>',
[('<expr>',
[('<term>',
[('<factor>',
[('(', []),
('<expr>',
[('<term>',
[('<factor>',
[('(', []),
('<expr>',
[('<term>',
[('<factor>',
[('<integer>', [('<digit>', [('4', [])])])])])]),
(')', [])])])]),
(')', [])])]),
(' + ', []),
('<expr>',
[('<term>',
[('<factor>',
[('(', []),
('<expr>',
[('<term>',
[('<factor>',
[('(', []),
('<expr>',
[('<term>',
[('<factor>', [('<integer>', [('<digit>', [('2', [])])])]),
(' * ', []),
('<term>',
[('<factor>',
[('<integer>', [('<digit>', [('3', [])])])]),
(' / ', []),
('<term>',
[('<factor>',
[('<integer>', [('<digit>', [('4', [])])])])])])])]),
(')', [])])])]),
(')', [])])])])])])


In [84]:

Out [84]:

0 isolation: <start> St.unchecked
O paths:

U paths:

7 check: <start> St.unchecked
8 check: <expr> St.unchecked
9 check: <term> St.unchecked
abstract: unverified <term>
10 check: <expr> St.unchecked
abstract: unverified <expr>
current paths:
>	 ([0, 0], <St.unverified: -1>) <term><'((4))'>
>	 ([0, 2], <St.unverified: -1>) <expr><'((2 * 3 / 4))'>

1 isolation: <term> St.unverified
O paths:

U paths:
u>	 ([0, 2], <St.unverified: -1>) <expr><'((2 * 3 / 4))'>

11 check: <term> St.unverified
NOT ABSTRACT: <term>:(((4))) St.unverified
12 check: <factor> St.unchecked
13 check: <expr> St.unchecked
14 check: <term> St.unchecked
15 check: <factor> St.unchecked
16 check: <expr> St.unchecked
abstract: unverified <expr>
current paths:
>	 ([0, 0, 0, 1, 0, 0, 1], <St.unverified: -1>) <expr><'4'>

2 isolation: <expr> St.unverified
O paths:
o>	 ([0, 0], <St.unverified: -1>) <term><'((4))'>

U paths:

17 check: <expr> St.unverified
NOT ABSTRACT: <expr>:(((2 * 3 / 4))) St.unverified
18 check: <term> St.unchecked
19 check: <factor> St.unchecked
20 check: <expr> St.unchecked
21 check: <term> St.unchecked
22 check: <factor> St.unchecked
23 check: <expr> St.unchecked
abstract: unverified <expr>
current paths:
>	 ([0, 2, 0, 0, 1, 0, 0, 1], <St.unverified: -1>) <expr><'2 * 3 / 4'>

3 isolation: <expr> St.unverified
O paths:
o>	 ([0, 2], <St.unverified: -1>) <expr><'((2 * 3 / 4))'>

U paths:

24 check: <expr> St.unverified
abstract: verified <expr>
current paths:
>	 ([0, 0, 0, 1, 0, 0, 1], <St.verified: 0>) <expr><'4'>

4 isolation: <expr> St.unverified
O paths:
o>	 ([0, 0], <St.unverified: -1>) <term><'((4))'>

U paths:

25 check: <expr> St.unverified
abstract: verified <expr>
current paths:
>	 ([0, 2, 0, 0, 1, 0, 0, 1], <St.verified: 0>) <expr><'2 * 3 / 4'>

abstract paths: 2

('<start>',
[('<expr>',
[('<term>',
[('<factor>',
[('(', [], {'abstract': False}),
('<expr>',
[('<term>',
[('<factor>',
[('(', [], {'abstract': False}),
('<expr>',
[('<term>',
[('<factor>',
[('<integer>',
[('<digit>',
[('4', [], {'abstract': False})],
{'abstract': False})],
{'abstract': False})],
{'abstract': False})],
{'abstract': False})],
{'abstract': True}),
(')', [], {'abstract': False})],
{'abstract': False})],
{'abstract': False})],
{'abstract': False}),
(')', [], {'abstract': False})],
{'abstract': False})],
{'abstract': False}),
(' + ', [], {'abstract': False}),
('<expr>',
[('<term>',
[('<factor>',
[('(', [], {'abstract': False}),
('<expr>',
[('<term>',
[('<factor>',
[('(', [], {'abstract': False}),
('<expr>',
[('<term>',
[('<factor>',
[('<integer>',
[('<digit>',
[('2', [], {'abstract': False})],
{'abstract': False})],
{'abstract': False})],
{'abstract': False}),
(' * ', [], {'abstract': False}),
('<term>',
[('<factor>',
[('<integer>',
[('<digit>',
[('3', [], {'abstract': False})],
{'abstract': False})],
{'abstract': False})],
{'abstract': False}),
(' / ', [], {'abstract': False}),
('<term>',
[('<factor>',
[('<integer>',
[('<digit>',
[('4', [], {'abstract': False})],
{'abstract': False})],
{'abstract': False})],
{'abstract': False})],
{'abstract': False})],
{'abstract': False})],
{'abstract': False})],
{'abstract': True}),
(')', [], {'abstract': False})],
{'abstract': False})],
{'abstract': False})],
{'abstract': False}),
(')', [], {'abstract': False})],
{'abstract': False})],
{'abstract': False})],
{'abstract': False})],
{'abstract': False})],
{'abstract': False})


In [85]:

Out [85]:

### Context Sensitivity

In finding similar nodes, we have to give first preference to the paths with maximum amount of common elements that can be identified on a string in terms of character count. No similarity analysis should be allowed on the nodes where a previous analysis detected similarity

The essential idea here is to first find concrete nodes, and check their string representation one at a time with other concrete nodes.

In [86]:

In [87]:

In [88]:

Out [88]:

[[],
[0],
[0, 0],
[0, 0, 0],
[0, 0, 0, 1],
[0, 0, 0, 1, 0],
[0, 0, 0, 1, 0, 0],
[0, 2],
[0, 2, 0],
[0, 2, 0, 0],
[0, 2, 0, 0, 1],
[0, 2, 0, 0, 1, 0],
[0, 2, 0, 0, 1, 0, 0]]


In [89]:

Out [89]:

[]            ((4)) + ((2 * 3 / 4))
[0]            ((4)) + ((2 * 3 / 4))
[0, 0]            ((4))
[0, 0, 0]            ((4))
[0, 0, 0, 1]            (4)
[0, 0, 0, 1, 0]            (4)
[0, 0, 0, 1, 0, 0]            (4)
[0, 2]            ((2 * 3 / 4))
[0, 2, 0]            ((2 * 3 / 4))
[0, 2, 0, 0]            ((2 * 3 / 4))
[0, 2, 0, 0, 1]            (2 * 3 / 4)
[0, 2, 0, 0, 1, 0]            (2 * 3 / 4)
[0, 2, 0, 0, 1, 0, 0]            (2 * 3 / 4)


Next, we need to find out of these nodes, which are similar

In [90]:

In [91]:

Out [91]:

('<start>', '((4)) + ((2 * 3 / 4))')
[]
('<expr>', '((4)) + ((2 * 3 / 4))')
[0]
('<term>', '((4))')
[0, 0]
('<factor>', '((4))')
[0, 0, 0]
('<expr>', '(4)')
[0, 0, 0, 1]
('<term>', '(4)')
[0, 0, 0, 1, 0]
('<factor>', '(4)')
[0, 0, 0, 1, 0, 0]
('<expr>', '((2 * 3 / 4))')
[0, 2]
('<term>', '((2 * 3 / 4))')
[0, 2, 0]
('<factor>', '((2 * 3 / 4))')
[0, 2, 0, 0]
('<expr>', '(2 * 3 / 4)')
[0, 2, 0, 0, 1]
('<term>', '(2 * 3 / 4)')
[0, 2, 0, 0, 1, 0]
('<factor>', '(2 * 3 / 4)')
[0, 2, 0, 0, 1, 0, 0]

{}


How do we verify that two keys are abstractable but context sensitive? generate random values for them, and replace it in all instances, and verify that the faults can be reproduced.

In [92]:

The markup_paths simply rename the context sensitive nodes with a $ prefix. Since there can be multiple context sensitive nodes with the same nonterminal, but separate usages, we also append a number to them. In [93]: In [94]: In [95]: Finally we need to define the string representation of the tree. This is done by general_str() In [96]: ### All Together In [97]: In [98]: Out [98]: 5 isolation: <start> St.unchecked O paths: U paths: 26 check: <start> St.unchecked 27 check: <expr> St.unchecked 28 check: <term> St.unchecked 29 check: <factor> St.unchecked 30 check: <expr> St.unchecked 31 check: <term> St.unchecked 32 check: <factor> St.unchecked 33 check: <expr> St.unchecked abstract: unverified <expr> current paths: > ([0, 0, 0, 1, 0, 0, 1], <St.unverified: -1>) <expr><'4'> 6 isolation: <expr> St.unverified O paths: U paths: 34 check: <expr> St.unverified abstract: verified <expr> current paths: > ([0, 0, 0, 1, 0, 0, 1], <St.verified: 0>) <expr><'4'> abstract paths: 1  The extracted minimal tree: In [99]: Out [99]: '((4))'  The abstract input In [100]: Out [100]: '((<expr>))'  The tree In [101]: Out [101]: ('<start>', [('<expr>', [('<term>', [('<factor>', [('(', [], {'abstract': False}), ('<expr>', [('<term>', [('<factor>', [('(', [], {'abstract': False}), ('<expr>', [('<term>', [('<factor>', [('<integer>', [('<digit>', [('4', [], {'abstract': False})], {'abstract': False})], {'abstract': False})], {'abstract': False})], {'abstract': False})], {'abstract': True}), (')', [], {'abstract': False})], {'abstract': False})], {'abstract': False})], {'abstract': False}), (')', [], {'abstract': False})], {'abstract': False})], {'abstract': False})], {'abstract': False})], {'abstract': False})  In [102]: ### Fuzzing In [103]: Out [103]: In [None]: In [104]: In [105]: In [106]: In [107]: Out [107]: # abstract paths 1 ['((+-8.9 * 57 * (01.7 * 404.602) * 5.9 / 9 * (-2.1 * 7.3) * -1.31 / (1.9) * -5.1 / 9 * 8.8 + 530.44 / (-(1 / 6.8) / (4 + 7.2 - 1.4) * ++8 * 4.3 * 6.7 / 6.0) / 1605 + (3677 / (0 * 7 + 3 + 3) * (0 + 8.5) / 5 / 6.1 + 4 * (1 + 6.4) - 18.6 + +0.5 - 1 * 9.9 - 5.3) + ((8.1 / 7 + 7 - 0.8) / (7.1 + 1)) / 71.107 / +6.6 - 30877 * 2 / (2.2 / 1.2) / -6 * 3 - 6 / 26.8 / +8.7))', '((+9 + 0.375))', '((-6.238 / 01044.0))', '((6.02 * -811 / +(-11.03 * ++2 / 2 + 33.92 * -1) * 61 * +((1)) * +(8) * 5 - 55047 - 6 / --((0.0) * 9.3 / 1.3) * +19.6 * 5 - -14))', '((977.8 * (++++0.5 / 924.68 * 036) * -(31.69 / 9.7 / 3.4 * 7.2 + (4.1 - 2.0) * (3.4) * 3.6 / 1 + 9 - 1 + 4 + 2.1) - -(-9 / 9 / +4.2 / +7.7 * 0 * 5.4 - 4 - 78 * 9 + +4 * 8.5 / 8.4 + 8.0 / 0.2 - 7 + 9.1) - (---+3) / 4 * +3))', '(((+9.96 * +-844 / +(5 / 7 - 2) - +2) * 5866 * 41446.47 - 230.68548 * (2544.4 - 549.42) / -5 * 4.6 / 41 / 2 + +-+(-9.3 / 3.9 / 4 - 1.9 + 1) / -+-+(2 - 9) / 5.91 / 8052 - -(91.75 + +4 * 0.3 - 5) * (++9 + 2 / 5.5 * 7.4 + 4) / 2 + -360 * 28.945 + ((3.1) + 4.0) - -94.45))', '((4275 / 7 + 77.159))', '((-18 * ++66.2 * +9))', '((1))', '((5.739 / 9 * +(+-1.7 / 4 / 9 / 7.2) / 00))', '((+-7.63 - +(9.3 / +-(1.1) + 032.7 / -+3 / (2.5) * 6) / --7544.6 * (904) / 1 / +5 * ++9 * 20 / +7.5 - 2 * +(-+9) * 816 * 4457 * 152 / 19 * -5 * 1 / 5.5))', '((86.1 * 0 + -+545.4 - +--(2 / 0 * 7)))', '((+(558 / ((8) * 8 / 2 + 1 / 6) - -(3.6 * 9 - 1.2 + 9.2) + 385 + --7 - 4.6 - 3.5 - 1 - 5) * -(2148) / 364 + 236.0 * 43.0 / 7.553 / +(-0 * 8.4 * 3.2 + 5 / 9) * 6668 * (9 / 5.0) + +(-75.9) / (9.5) * 78 * ((9.5)) + +3 + ++(0 - 5.0) * 1 * -+5.4 / -2.6 / 7 * 6.4 / 6.0 - 3 / -+6.9 + (3 - 1.3) / 38.1 * -3 * 1 / 5 - 1.3 / (2) / 2.5 / 4.9))', '((6 - --+(76.8 * 4 / 2.6 * 7 - 1.2 / 8 - 3.7 / 7.3) - (9.71 / +0.6 / +7.0 / +1 / 7 - +6.8 / -+3.0 * +4.0 * 9.3 / 1) * +-++23 * +(-5.0 / 2.3 / 3.0 - 8.8 / 0.0) * 2714 * 55.4 * 5.9 / 9.6 - (+1) + +((5.4)) / +-+-8.4 * (5 / 0.8 - 9) / -(6) + (9 / 1)))', '(((-+43 / +++--7 - (3 + 2 * 4.4) / (3.7 / 4.5 * 4 - 9.3 * 9 - 7 - 5) * (4 + 3 + 9.4) * (5) / -5.4) - 45647 + 24.9 * +(3 + (0)) / +2.3 - +((7 - 4) - 6.3 / 4 - 4) + 1 / +318.0 * ++0.6 + 35 + 53.7 + 73.4 + 8 * 2.5 - 4.4 / 6 - 7.8))', '((6.36 / 00233 * +6.990 * -++14 * -4742 * -2 / (3.8 / 2.0 + 8 + 4.3) / 9 / -7.5 + 1 * (06.6 / +69.95 - +(3 - 5.7) * +-0.1 * -6.3 / 7 * 1 + (0 - 5.6) * +1.4 / 2 / 0) + 6 * 06.8 * 2.5 / 31 / (4 + 0.9) - (+-8 * 2.84 / +6.2 / 7.4 * 2.8) * +77.8 * 69 / (8 / 7 - 2 - 8) + -9589.76 / +-(3) * 3.7 * -+3 * 0.6))', '(((083.9 * (+(0.5) * 3 / 4 / 7.6 + +0.5 / 6.5 + 6.5 - 3.2) + 392 / 91) * 15.51419 / +(7 - (8.0 + 7) * 5 * 7 / 1 + 6.0 * 6) - (66.6 - -536) * ++-02.32 * 920.377468))', '((+0 / -(-(6.1)) / 36.769 / 7))', '((-5 * +(--89.15 * 1.1 + 604.09 * -0 / 6 + --4 / 5.2 / 4.9 * 9 + -4 * 5.7 * 6.8 + 3.1 / 8 + 0 - 3) / +39402 / (466 * 06 * (1) * 1.7 * 3) * (-+9) / (9 / 0.3 * 0) / 03 * 3 * +4.8 * 1 / 9.6))', '((--81 + (2.08 + (4.3 * 1.3 - 9 + 3.5 + 6) / 26 * 10) - -6.6 / -+(-5 / 1 / 7 + 4.6 / 1) / 36))', '((+3 / 347656.632 / ++(7.3 + (7) + 5 / 7 - 2 + 3) - 9.8644928 * (-0 * +++8.0 - -4.9 * 86 / +0 * 9.1) / +8 - +-09.9 * -((5 + 7.7) / 2 - 3.8 * 6.0 / 4.9) * +60.5 / 9 / (6 / 4 - 7.5 + 9) * (6 - 3.3) / 7.3 - (19 / 4 / -8.2 * 0 * 6.7 - ++8 - -9.8 / 5.1 + 2.3) * --(1.0)))', '((1 / 57.96 * -+9350))', '(((93.0 / -4 + +8124.6 * 1 / 75.01 * 05 * +4.8 * 6 + -488.35 / -++6.5 * +(3) * 8 / 9.2 * 3.7) - +(((6.1) / 7.3 / 8.0 - 8 * 1 - 0.4 - 9) * 3.9 * --4.8) * 70.4))', '((+(++6 - 49.5 + +(4.8) / -2.1 * 1.0)))', '((8 * (6.09277 / 40 - (-2 - 1.0 * 3 - 7) / 1.13 - 6.3 * 94 / +8.4 * 5.4 / 0.3 + (2 - 7.6) / (1.7) / 5 / 7 - (2) / 4 - 3 / 4 - 7.7 + 1.5) + 239.4 * +--+1.408 * -(2 - 7 * 5.8 / 3 - 4.9 * 6 + 5.8 + 5.0) / --3 * (+5.2 + 0 * 5 + 0 - 8) - 019 * +(--9 - +0.7 / 4.9 / 3 + 9 + 7) * 2.8 / 6 / 951 * 82 + 45372 + (-9 + 6.2 / 4.0 + 7.8 / 0 + 7.8) / -376 - -(4 * 5)))', '((+39 / 4.3 - ++8.4 / (3336.8 / (2 * 4) * (0) + (8) - --8.5 / (6.8) * 8 * 5.6 - 7.6 * 2 - 2.6 * 6 + 2.0 - 5)))', '((((+(2 - 6.9) / 0 * -2 * 7 * 3.8) + (--5 / (9) / 0 - +7.4 / 3.8 * 6 + 5 / 4 + 0.3 + 5.5) * (4.6 * 9.7 / 6.9) + 63 * 143.6 - -2 * +(2.5) + 5.9 - +0 / 5.8 + 0 / 2 - 4 + 7.9)))', '((+(-(-4 / 9.5 / 6.2) + +(7 * 5.2 - 0.3 - 9) - 10) / (0418.293 / 82.8 * -(1.6 + 2) * 17) - 17066 + +8 * +2 / 5 * 2371 * 3))', '((+8 * -(-(7 / 5) / (8.9 / 4) * (1.5 - 9.7) + (7.8 * 6 + 0) * 5 * 9.2 / 1 * 6 + -3.8 / -8.8 + (8.3) / 8 - 0 + 9.0 - 8.5) - 768 / -30.92825 / 8))', '((--(9327.9228 / -05) / 01.20 * 5 - +313 / ++3 / -1.328 / (-(7.0)) - +--(7.9)))', '((-+(+951.7 * (8.4 / 8 + 2.1 + 8) + +1 * 2 + 31) / +8.9 * 9 * 8 + -+387))', '((57 / 9 - ---(+3 * 4.9 * 3 * 1.1 + (0.0) * 3 / 2 - 0.3 * 1 + 4.3 - 3.6) + +(1.02 / +-4.5 / 1.2 * 7 - (1 - 7.5)) * (-(1.6 - 7)) / 254 * 7.63 * 07 / 73 / (6) * 4 + -++25 / +0 * -015.303 + -5.86 * ----0.0 / 9 * (8.1) / 7 * 2 / 3.1 + (-4.9 + 3) * +++3 / (5) + +01 - +-5 / (7) * 5.8 * 0.2 + 7 - 8.8 / 8.8 + 2 - 8))', '((-(14.4 * 9.163 * -66.6) * 1 / 826 / (-+9 - ++9.9 / 1 * 5.8 + (5) / 9 / 1) / 2 * +-(8) * (7.7 + 7.8) / (6) * 5.0 * 3.5 / 0.2 - 62 * ++-522.796 * 203 + ++68835.450 / 72 / (+4 / +7 - -9.1 - 0 / 0.4 - 1 - 2)))', '((3014))', '(((7.6) * 18 - 746 * 8 / +-(-9 / 9.6 * 0) / +3 * 859.32 * 58 * (8.1 + 5) * 1.8 + 6.2 * -+5243.8 * 8 / 4.357 / (2 * 2) * 3.14 / -1 * 3.3))', '((3 / (4) + -4 * --3 * 84 / +0447.4 - -67 / 4.668598 * ((0.7 - 4)) / 4 / 279 * -+5 * 0.3 * 1.0 / 4 + +2.38 / ((7.1) - (7) * 2.2 * 8) / ((6) + 7 * 0 - 7.9 + 4) * -8.2 + +++41.3 / 9 * +75 - 22 - 83 * -+3 * +2 / 7.4 * 0.4))', '((--+67))', '((8209.02 * +-+-1.266 / (+5.144 * 3.64 * (5) * (7.9) / 3 * 1 + -+7.7 / 54.86)))', '((++(8 / -+(4) / +9 * -2.3 * 2.4 + (6.8 / 2)) / (--1 / (+4.6 / 6.8) / 61 * +(9) * 1.2 * 1 * 7.0 + (5) * 73.6 - ++7.5 / (6.9 - 8.6) - (7.4 - 0.2) * +2 * 3.1 / 6.7 - (4.0)) / +-3.7 / +542 * 5.0820 - +1923 - (+2.9 / -+-9 * 0.61 / (1.1) / 2.7 / 5) / -5968.4 * (-8.7 * +6.4 + +4.1 / 7.6 * 5.8 - 5 * 0 - 0.7 + 1) / 8 / (3 / 2 - 0.7 - 4.3) / -+0 * (8.4) * 1.7 * 3 + ++5069.7663 * 8.5 * -45.456 / (4 / 0 - 9) * 09))', '((+-+-6 * 9 * 388.32 * +(+0.1) - 9 * (+-5.8 / 606.6) / ((6 * 4.0 + 5 - 9.4)) * 32 / ((1.5) + 8.9 + 3.6 + 8) / +-+5.7 * ++2.3 / +8 * 2.9 / 4.7 - +640 / ++0.766 / 1 * +415.1 * 97 * 8 * 1 + -+3 / 3.0354 * 6.0 / +7 * (0 - 8) * 7 * 0.9 + +792 / 9 - (7.9 * 4 + 0 * 1.7 + 7 - 3.1) * 83.4 + -+(0.9) / (9 + 4.9) / 5 * 3))', '(((+7 / -775.0 * -08)))', '((--(-4 * +19.8 * (1) * -5.5 * 4.7 - (1.8 / 0.0) * 79 * -8 * 6.5 * 1.5 + (3.2 + 0)) / +0.1 * --9.1 / 9 * 6.7))', '((9.6))', '((+8016.3 - --0.52 * (2.1 * 2.974 / --7) / (5 * 29 * +8 + 7 + 4.2 - 6.0 / 8 - 6.5 - 4.2) / 3501 / (8 * 5 * 0.5 - 9 * 3.3 - 8.3 + 3.9) * +7.8))', '((9.39 + --740.063 - -+0 * 9 / 6 * (-9.4 * 0.6)))', '((((0 * 4) * 74266 * 2) / -(((4.7) * 5 * 3) - 5.146 * 49.3 * (7) / 2 / 2.7) + (7 * +3 / --(7.0) / --7 / -8 / 0.3 * 8 - -(1 * 7.6) - (8 + 7.9)) / 4110428 / 3.1 * (-0 * (4) - 2) - (-803 / ++(4) * (7 - 5.3) / (5.1) / 6.5 / 2.0 + 004 * +5 + +-1 + 7 * 0 / 8.5 + 7 * 6 - 9 - 7.6)))', '((40 * -9 / 90986 - 46.13572 * --9.6 - --80 + 51465.027))', '((((-3.6 / 2 - 70.45 * +1 / 6 * 7.1 - +0.3 / 5.2 * 2) / (+-4.8 * 6 * 2.3) / -(9 + 9) + +6531 * +22.6 + 7.9636 / +79 * (2) + (0 * 5) + -1.8)))', '((7.128331605 * --+61))', '(((-+-(0.7 * 0.3 - 0.8) * 761 / --+6 * 23 / +4 * +0 * 2 / 8.9 + ++(0.8 / 3.7 - 2.5 + 3.1) - 8 / ++(1.8) * -+8.5) / -6.53 + 0.310 / 048.8 / ++955 * 6.990 * (-9 * 9.2 * 0) * +8 - 38 * 6 * 0.6 - -91.17))', '((991 / 7 * -49 / 29.0 / +((8) / 0) + +1 * 16938.40 - 4061.3 / +59.9 / (6.6 / 6.1) * 8.0 / -0.14))', '(((+7.4224) / (-0.244 * -+8 - 4772 / 9.830 / +-2.4 + -57.9) * +2.6))', '(((62 * --+(8.7 + 9.0) * 30 * ++(1) - +6.1 / +7 / (0.6 * 8.8) / +5 * 5.6 * 1 / 2.6 + 3.3 * +++5.9 / 51 / -0 * 5) / ++-((7 - 9.2) * -0.4 + -7.3 * 6.7 / 8) * -+7220 / -1 * +-661.783 + (7) * +-9.3 * 21687.02 / 06003 + --4 - -2.6 - 9.6))', '((5.83290558 * 944 + -++7091.8 * +7357 * 8 - +++((8.0) / 9 * 1) + 402670.5 / (-0.8 * (2) - -8 * 7.9 / 2.4 + 6.4 * 3.8) / (+3) - +(-0.5 * 9 - 0.7 / 6 + 4.0 + 5.6)))', '((1.1))', '((88 * 09 + 66515847.5 * +74 * (5.1) / -39.2 * +(5) + (2320 / 1.7 / ++7.0 / 5 * 3.0 / 4) * 611813 - 93 - 26 / ((7.7) - 4 + 1.8 - 4) / -23 - 4 * -+-3.1 / -+8 / 4 - 85.7 - -5 - 9 + 1 * 5 + 1.5))', '((0 * 997 / (--06.7 * -++5.8) / (+(6 - 7.6)) * 8))', '((8 - -121614 / ++9 * +((4.3 - 8.2) + (0.9) / 7) * 3))', '((922750 / ((24 - 6 / 4 / 8 - 1.2 + 5.8 - 9)) / 1.7 * -75.9 - (-3 * (+9.7 * 2.7 / 6) / 9.062 * (5 + 0) / 5.6 / 2 + +967.303 + -++3 / +4.9 / -3 / 6 * 4.6 - +1.2)))', '((++-+9.52388 - +469.52830 - 0.7))', '((+(+8.517 * 6 * -69 * +-5 / 9 / 8 / 3)))', '((68.7 / +739400.5034 / +4454 - 36 / -(+72.80 - ++6 * (4.1) * 0.1 / 2 - 3 / 1 * 3) / ---20.042 + 02278.7 - -(+9 / -5 / 0 * 1 + (9) / 4.0 + 1 * 8 + 1.2 + 5) / (78 / -8 / 7.9 * 8) * --(0 + 8.8) / (7.9 / 9.4)))', '((1890684.1))', '((7 * -+----45 / -(71 - 00 / (8.6) / 4 / 4) * 821 + 3.00 / 47.63))', '(((0 * 9.1 / --3.05 / 77 / 73 * 6 / 3 / 8.9 + (+-1.5 * 3.9 / 7.9 * 1 + -5.1 / 3 * 9.0) / (+3) / -(9.1) * -(8.2) * (1) * 3.1 * 4) * 42))', '((56.1 * 048.2))', '(((-(--9.2 / (3.6) / 9 / 7.9 - 6.4 - 3.7 / 0.6 + 0.8 - 1) / -(2.7 * 9 * 8.3 + 4.8 * 9.8) * 28 * +96 * -+2.7 / -5.9 * 2 + 0 * +(8 * 9.5 + 9.2 - 6.1)) / 98 / ((6.7 / 1 - 2.4 / 2.6 + 8 - 8) / (0 + 2) - (5 / 1.5 + 8 + 8.9)) / 24 / 1))', '((-8.7))', '(((--9.5511) / +---++2 / ++-((6) - 0.5 / 1.6) * (73.48 - +-4 / 7 * 6.9 - (4.1) / 1 / 1.1 - 4.1 + 5.0 - 1) / -0270 - 9.8 / (-(3.5 * 7 + 9.1 + 9) - +--0 * 09.59 - (8 - 1) / +8 + -0 * 9.4 * 2 - 9 / 9.3) * 12.8 / 31.906 * +1))', '((--(+9.8 * 399 / -2.3 / -3.6 * 1 / 5.1 + +(0) / (3.6) / 0 - +2 * 4 / 3 * 9)))', '((+((62.32 + -2.8) + +303.77 * -87.81 - 492.000) / 9562 * 5 * -(62.59 / -9.8 / 0.4 * 6) / (--2.1 / 4.9 / 5 * 1) / 49.630 * 826 * 7.80 * 8.0 / 2.5))', '((-+7 / 4.7 - 9 * (4 * 679 - 3 * (9 - 0.1) * +7.2 * 7.9 * 9.5) - 588.44 * +-+--(5.2) * (1.02 * (4.9) + 3.7 * 8.6 + 4.2 * 5.0 - 1 + 7.0) - +8.117 + +8739 / ((1.9) * 6 * 4.8) + +0.25 - 7.983 * 2.97 + 38 - (1.1) + 4 * 2))', '((-+(-96.8 / (8 / 5 + 2) * 1.22 - -8 * ++5.5 / (5.8) - -7 * -2 / 3.3 / 7 - (5) / 6 * 0.9 - 5.5 * 1 - 1.4 - 5.4) * -+0.67 * (581 + 0.0 * 2.01 / +0.4 * 5 * 3.0) / 58.4 / 7))', '((--+3.911906))', '(((70756 * 9 / ((2))) / 60 / 5))', '(((((3.8 + 6 - 5) / (6) * (7.4) / 4 / 3.4 - -+4.1) * (52 * -1 / 9.3 / 6) * 001.0 / -5.19 - 5 + (4.7 + 8.6 - 6.7) / +4 - -2 * 08 * (8.0) * 6.6 * 7.8)))', '((---+((8.4) - -4 / 1 / 7) / 2.52 + 05 / (4 * -(4.4) / (7 - 8) / (6.6) * 7 / 8 + -(2.9 - 7.9) * 95 / +5.4 * 5 / 4.6 - -1 + -5 / 0.1 + 6.8 * 3.0 - 0 - 8.4) / ++++-+1.9 * 4.505 + -(-+8.9 / -(8.5) + +-8 * (9) / 3.9 - (9) / 7.8 / 2.4 - 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((0.3 * 8.9 / 8 - 7.4 * 2.1 + 3 - 7) / 57.4 * -2.3)))', '((83794.7))', '(((((1.4 * 2 + 4.5 - 2) / -0.4 / 5 - (9 - 7.7) * 0 * 1 * 7.0 - 0.0 / 8 / 8.1 + 3 * 7.1 - 0) * -(+6.8) / -+26.05 / -(4 + 4) - +6.717 / --4.57 + +6.8)))', '(((++(4 * 5 + 5.7 / 8.3 - 7 - 3) * +-+3.0 - (++7.4 / 5 * 2 / 4 - (2.7) - 7.1 / 4 + 5 - 9.1) + (8.2 / 6 * 4 + 4.1 * 9.1) / (8.3 * 1) / 43 * 8.1 / 2) - -46.112 * 3 / 5.7417 / ++(3 / 3.9 + 1.7) / 65))', '((((-(1) * -+0.6 / 5.8 + ++9 * -1 / 4 + (4.0) / 4.1 / 1 - 5.4 / 2.2 - 3.1)) * ((++9.9 / 6.0 + -8.7 * 9.7 / 5 - 5.1) * 1 - --++4 / 0 - 387.5) - -6 / 15 * 20 * (-1.8 * +6.1) / 8.8178 / +3 / 56.17 + 7.6))', '((+2.1 * ((9 * -1.0 - -4.0 / 8 * 5.3) * (-9.3 - 9 * 4) - 3.91) * 5 / 1722 / 78825 / 7 * ---1.9 / ++2.1 / 7.4 * 9.0 - 1.93))', '(((-+0.12 / +-958.573 / 657 / (0 * 2) - +--+3 * 66 + 440 * 232.8)))', '((-32 * (2 * -77 + +-(4 + 8) - -91.37 / 9 * -3.7 - 75 + 2 * 2 + 6.1 - 4.0 - 2) / -+(++6.4 - (8.7) * 7) * 2.98 * +98 / 3.2 - +-0.8 + 457 / (-84.97 + (0 + 3.2) + (6.5) - 9.1 / 9.0) / 6.44 * 054 / 56 + -((9.4) / -2 / 2.7 / 8.0) / (-+0 * 8.2 / 1.0 / 3.4 - 6 / 9 * 3.1 + 4.7 / 2.7) / 4.58 * 88 * (5 + 3.3) * -0.9 * 2 + 8.54 * +2 / 914.7))', '((--6 / 373.00 / --5 / (+60.09) * 40.10833 - (7.8 / -492.076 + --(9 - 7.4) + 405 * 40 * -5.3 * 7) / 6.7 * 411))', '((8.48 * 2.88500 / +80 * (+33 * ++6.5 * 3.9 - (6.4 + 8.0) / (6.5) * 9.5 - +3 / 0 / 8.1) / ---++8 + (--263 * (5.2) / (4 * 4 + 3.3 + 4) * 4.67 + 4.4 / 761 * (5 - 2.0) * -5.1 + (6 * 6 + 8.9 - 0) * (7.5) / (6.3) * 9.4 * 0 + -(4.5) * 5 * 7.0 + -0.8 * 9 / 4.5) / 5.36 / ++45.7360 * +-(2 / 9.5) - +3 * ((8 / 1) * +5 * +1.8 / 2.5 * 4 - -(9) / +9.5 / 5.3 * 4.3 + (4.4) - 5.3 / 7 - 9.1) * 8.8 * 5809.162 * 80 / 9.5 / 0.8 / 0.6 * 0.3 + 955670.6))', '((256.1 / 17656 / +30))', '((+-+952 * +62 + -30.6 / 1.2 * -++6.40 / -7.8 / --27.76))', '((81 - --95))', '((-(((5 - 9) - (4) * 7 - 8 / 2) / (-0.8 - 0.5 * 4.5 + 0.5) / +56 - 7 * 12.8 / -+2 - 0.14 + +(3) / 6 / 6.9 - -2.7 * 4.0 - 0.1 / 4 + 5.5 - 0) / +-83.9 / -92 / -+(+1.9 + 9.2 * 9.3 - 8.6 + 0.0) - ---++1.9 / +652.7 / ((4.1 * 1.2 - 5.3) / 48.1 * (6.7) / 0.4 / 3) / +3.31 / +5 - -452 / +(5) * 5.948 / (+4.3 / 2 * 2.6 - 4 / 2 + 1.0) * 9 * +6.9 / 9.4 * 0.5 - -0.74 / +422.8 - ((0 + 7) + 9 + 1 / 5 - 4.7) * -46 / +++4))', '(((2.90 / -(-9 / 6.1 * 6 + 2.9 * 7.6 + 4.7 - 0.5) * +(3 - 3.6) * (4 * 6.6 + 6) * +8 * -1 + 60.2 / 3 / -(2 - 9.0) / -(6) / 0 / 1.9 / 9.5 + 8.961 * -++0 / 1.0 * +2.9 - (9 / 4.5) / (2.8 - 7) / +7.6 * 4.0 / 1.9) - 1350 + +((6.1 / 3.8) * +(8) + 2.91 / +6.6 * 3.3 - (5.1) / 5 - 4 + 3.2 + 4.1) + (+(0.7) / -3 * +2.2 * 6 + 52.8 / (5.9) - 5 * 2 - 1 * 2.7 + 4 + 0) * 5))', '((5 + +6 + (-35 * (3 - 5 - 9) / (2 + 6) * 9 / 5 / 5.5 - -3 - +8 * -2 - +5 / 8) / 8.3 * -(1.4 * 1.3) + -((9.9 + 0.3)) / --132.06))', '((-2))', '((-(9 * +635.4 - 2478.850 / +2 * (7.9)) / 1 / 2 * 4.21 / 151 - 26 / 1103519 * +8.08 / -+--(2.7) * 5000.1))', '((+-0.46 * 9 * 4.5 / +-6.09 + 6 * 5 * 42.18 / 48869.9 - 7 / +(+-1 / (8.1) / 4.3 / 1 - +5.1 / 9 / 9 + 1.6) / (8.25 / -7 + (5.5) * 7.1 * 8.5 - 1.0 - 8.1 + 3.8) / -39 - +1 * (98 - 1.0 / 8.4 - 6.4 * 5.1 + 6.7 + 1) * (6 / 0 * 7.6 + 9 / 4 + 0 - 8) * +23 - +(0 * 9 / 3.3 + 7 / 1.9) * 8.0336 * --(7.8) / +9.2 + ++77.20 / (8.3 - 2.7) * ++6 * +5 * 5.2 / 7.3 - 456.9 * 9.8 / +5.7))', '(((+(04) * (-+3.5) * -(6.8 * 4.8 + 4.2) / 3 / 13.6 / -6 / 5 / 2.9 - +(5.4 / 5.2 / 2 + 8.0 * 6) + (+4 * 0.3 * 7.4) / -83.21 * +8.5 / 0.5 + (6.9) / (7)) * 170 + 631 * -+169 / (54 * (8) / +3.6 * 1.9 / 6.0) * +--+(2.4) / (-6.0 / 6.3) + 4.7556 / -453))', '((16 / +8 / +-((4.6 - 1.5) + +1.9 * 6.4 / 7.7 + 9 / 0 + 2 + 0)))', '((-+3 / +16 / ---7 * --+-0 * 310.6 / 7 / 55 * (3 - 4.9) / 5.4 + 8))', '(((38.7 / +(-3.9 / 7.5 / 6 + 2.3 - 6 + 2.5) - 2 / ((0))) / 3 / 18.417))', '((53 * -6 + 2 * 2224 - (++-+8 / +21.8 * ++5 * 1.1 + 557 + -8.0 - 0.7) / 53.97 - 02.290 * (99 * 8 * 7.3 / 9 - (5.8) * 7 / 7) * +(5 / 0.5) * 4 + (+(3.9) / -4 + -3 * 1.8 / 4.3) - 2.8 * (1.8 * 4.5 + 8 - 4.8) / (2 - 6.9) / 8.4 / 2))', '(((50.4 * (98.30 / +0 / 4 / 5.0 - (8) / 3 - 1 * 8 + 7.7) / 098.2 - 51.130 / 9895.831) + 7 * 8.1 - +(-(3 + 1) * +2.5 / 3.2 * 0) * 8 + 816))', '((2 / --3653))', '((+((61 / 1.8) / +(6 - 5.8 + 5.2) + 7 / +59.5 * -(0.0) + (1 / 9.6 + 9.0 - 0) / 6.2 / 9.5 / 1.1 / 5.9 + 57.18 / (3.3) * 4 * 0.7 - +6 * 8.9 - 8.7 - 0.0 + 4.5) + -7.36 * +(-+0.2 + 9.1 * 9 + (2) * 8 / 3.6 + 7 / 5 + 2 - 2.6) / 18 - -7146 + -(+6 - 6.3 - 3.4 * 1 - 2.2 + 9) / 0.662 * 45 * (1.5 + 5) / 37.25 / 8))', '((+37))', '((+1.49 / --+-3 * --8 * +++(9 * 0.1) - ++848 / (+(3 / 1.0 + 1.5)) / -5310.61 + +(681 * +-4 * (2.2) * 8) * -58 / (9.40 + +1.6 * 8.5 / 0.3 + 5.1 * 6.2 + 6 - 2.3) / 10 / (2 + 0) * +-4 - 60.0 * 8))', '((39 / ++91))', '(((2.3 - 00.76 / ++(3) * 9 * 28 / -7 * 5 / 1.7 + -(8.1 + 5.3) / (9 + 1.7) * -1.3 / -8 / 6.3 * 3) * -+-9.7 - -(9061 + +-(2.3)) / 5.7 / +(++1.4 * +6.2 * 4 / 1.5 - +5.8 + 0.3 + 9) / -389 * (9 * 5.1 / 4 + 8.1 * 2) - 1 - -5))', '((6 * ((60 / +4.8 - 1.6 * 6 - 3 / 9.3 + 5.8) * -(8.1 * 8.1) * -80 * ++8.3 / (2)) / 733))', '((--+++-1.416 * -(-+2 / (4 * 8.6 - 1.4 - 2.7) / (6) / -8.3 / 3.4 * 8 + (9.4) * 26 * +4.6 * 5 * 8) * ((7.8) + ---1 * (8.5 + 5) + 36.12 * 7.9)))', '((-47 * (13 / 0.2 / -3 * 52.51 / -2 / 7 / 5.9 - (+0) * (3 / 6) + -(6.8) + ++9 * (6) / 1 + (0))))', '((24.2 * --406.41 / 22 / +81 - 70 / 8533401.31 - +56.4 + 982))', '(((+((5 + 9) * +7.6 - 3.8 - 4.6) / -(-5 * 6 / 7.9 - 7.2 / 8 + 3) - -+(6 * 2.2 - 9.3) / 2 * --4.6 / 2.96 / -5 / 2.8 * 1.7 - ((9) / 7 * 6 + 7 + 8 - 6.3)) / --9 / +37 * -+6.1 * -++2.9 * +(1.6 * 7) + 3 - (+-+-0 * +04.4 * 4.12 / 9.1 / 2.4 - 6 / 00.2 * 9 / 4 / 1.5 + 3) / 4.3 * 9 - -31 * +3 * (3.3 * 5) * 1.018 / (5.3) / -6 / 7.5 + -(+2.2 / 7 / 4 + 8.6 * 7 - 6.0) - 4.2 * (0.0 * 4 - 6.8 - 6) * 84 / 1 - 220 * 58 * (9)))', '((4227.8 / +-(5 * 55.14 / 5.2 * 7 * 2.2)))', '(((82.58 + 0) * 026.5639 / -(27.1 / +-2.9 + +(4) * 3.3 + -0 * 4.4 / 2.0 + 1.1 / 9) / -+5.737 + -+(--8) * 99 + -(447.44 - ++9.2 + 1.0 * 4 * 9 + 8.3 / 3) / -208.6 / 7.39))', '((9.327 / +2 * -4.5 / ++-34 + 3 * -+2 * 805 - (1.9 / --(8.9) - -51.8 * 4 * (1.7) / 1.5 / 3) * -+++--2.4 * -(0 * 0.6 / 6 - 6.4) * 284.0299 * (7 + 7.9) / 7.1 / -0.7 * 2.4 / 9.3 + 0 - 44 * +4.1 / +-(9) * +-4 * 2 / 7 * 9))', '((++804.4 / (+434 + (-2)) * +-((7 - 2.9) - (3.2) * 4) * 6023))', '((67.30 + 1710779 / (1.0 * +0 / 9.67 / (5.0) * 2 / 3.5 - 8.65 / 8.0 / 3.7 * 4 - -+3 * +6 * 7.0 - 6.0 / 4.9 / 0 + 5.5 * 3.3 + 2 + 7) / (59.95 / (9 - 8) - ++8.6 * 9.2 - 0 * 5.9) / 0.02484 * 499 * -+0 / 4 * -4.6 / 6))', '((313348.1 * 8.5181 * -+++5.0 - 69.08 / 5.55 - 000.4 / --6.36 - +90))', '((60.5 * 7.99 + (-9.9) / 8.1844313 + (-7.8 / (2) / 47.2 / 6 * 9.8 * 9)))', '((1 * +9 / 2.7 * 34 * 7279.5 * 2 * -03 / 73.61 - (74 * (+0.9) / (1 / 8 + 0 - 8.1) / 36.1 - 676 * 3 * (0 - 1) / -6.9 / 6.2 - (1 / 4.2 + 8 + 6) / 98 / -3 - 53 * (3)) * (2252 * -(8.9) * 83.97 - (2.4 * 6 + 7.3 + 0)) * -5))', '((70 * (52606 * 9 - (-1 + 8 * 8.3)) - --1.99 * 89 / -45 * 1))', '(((72.51 - 28.40 * -3.69 * 7.921 / +6.1) / +-(7.71 / -9.6 - -5.5 * -2 + (0.3) * 0) + +(059 * +3) * 4.74 / (--(6) - 6 + +1.2 * 2.2 + 7 * 2.4 + 9.9 + 3) / 6.396))', '(((-+-5 * 3.761 * 5.5083) * 764.93))', '((3.621 + (+3.6 * 49 / --7.5 + ++++8.7 / 345 * (0.0 + 3) / 2 / 9 - (3.4) / 7.02 * 4.7 / 2.8 / 2) * 39))', '((+6.0 * ---49.2 * 6 * +(10 / 7.5 + (2.5) + 2.5 + 0.8 - 8.0) * (3.48 * (2) / 8 / 1.5 + -4.0 * 1 * 1) / 5647.72 / (0.9) * 27))', '(((+7428.2575 / +(7 / 1.4) * +-9 * --8.3 - 5268 * (+6.8 / 8 / 1.1 - 6 * 1) - 55) / -----(6.2 / 3.3) + ++7 / (+(4.6 * 7 + 3)) * 8 / +(+9.4 * 3.4 - 7 * 5.2) / (-3 * 7 / 7.2 + 2.1 + 8 - 4.8) - -+((8.2 - 7) - -0.1 - 8 / 8.5 - 1 + 0.4) / 3 * 3182.48 / --+(2)))', '(((8.73 * 9 / 5.828 * 9 - (59 * 1.2 * 3.5 / 2 - +5.5 * 2.3 / 1) * 863 / (5 * 5 + 2 + 1) / +(7)) * -+2.7 * --+7.367 * 1 - 6 * (1.40 * (4.9 * 4 + 0) - 93 / 65.39 - 9 * 3.7 * 7.5) * 28.829))', '((22 / +(4006 - +-(0) - -+2.0 + +3.4 - 1) / ((-9 * 0 / 3 - 7.9 + 0) * +51.9 / 32.94 / 3 / 5 * 6)))', '((8.18 * -(02 + 65 / (7) + +-0.3 + 8 / 5.2 / 8.9 + 2.8 / 5.5) * 3.2 / 6.48 * -6.7689 - (+3 * +11 * -36.42 * 59.5 / 3 / 5.2 * 7.8 + 6.5 * 208 / ++7.1 * -4.3 - +(8.1 + 4.2) + -+8 / 9 * 6 * 5.0 - 5.1 * 7 * 0.3) / 1.71 / (2 / +(2.8) / 8 / 9.6 / 3.6 - -+8 / (7.2) + +3.9 - 6.9 * 2.7 - 9 + 0)))', '(((+(07.0 * (4.1) / 5 - (8.7) + 2) / ---80.8) + 92 / 2 / 4.9 * (1 / (5) + 7.9 * 1 / 1 - 0) - 9.0 / 8 + 9 * (+0.2 * 1 * 3 * 1) * 5536 * 957.2 / 66.65 - 3.7 * 8 - 2037.4187 * (8.0 * 2 - 6 + 7) + -48.89 / ++6.7 * 3 + +(6) * -6.7 - 6 * 9.5 + 3 + 9))', '((+2935 / 8 * (9989 * (4.9 * 8) + 381 * -7 * -2 / 9.6 / 0.5) / +((3.7 - 2) * -2 / 7) / (77 * 5 / 7 * 6) / 8 + 1 - (-+++0) * 137 + 80 / (6.33 * 4 + (7.7) - 7 * 9.4) - 4002 / 7.73 * (0.8 / 2 + 3.8 - 7) / -9 / (5)))', '((81 - 8.803 / (-+-9 / 1.4 * (3.7) / 0 / 7 / 3 + 034 / 9 / -1.5 / 0 / 5.0) * 5.6 / (-+7 / +0.4 + +3.6 * 4.7)))', '((-++6.262124 * 736866.004157 / (772 / -75.14 * -3.6 / +2 * 3.6 * 9.7 - 77 * --6.7 * 8.2 * 5.6) / 78.73272 * ---(0.7 - 9.8) * -311 / 1 + 6 * 84.3))', '((05.7597794 * (4 / 3 * 6.0) * +((0.5 - 6)) / +(70.0 * (1) * 4 / 5 - 4 * 3.4 + 6.2) * 1 / 27.8841))', '(((0.99 * (71 * -8.5 * 5 * 6 + -5 / 3 / 7.7) * 17 / 109 / (8 - 3.2) / (7) / 8.8 / 6.0 + (-4.8 / (1.9) * 5.9 - -0.0 / 9.5 * 4 - 9.0 * 5 - 7 - 1) / -12 / (9 + 6.2 - 6.4) / (6.7 + 7.1) / -2 * 2.8 * 5.2 - 3 / +++0.6 / (1.4 - 1) * 0 * 3.5 + -64 * (2.8) / 0.1) / +(91.0)))', '((1.5 * 7))', '((71.39485))', '((((74 * -0) - 96) + 9.9))', '((++1.975 * +++-++(7 + 7) - 89 - ++(66.3 / (4)) / +38.2))', '((17.56 + ((44 + -8) * ++-+1 / 77 * 90.4 + -(1 * 4.3 - 2 - 7.2) * 8.55 * (2 - 2) - 116.3 - (2.5 - 2.1) / 1) * -60))', '((+---(-5.6) / (-+499 / ((3) / 8 / 9.2) + 2996.2 / (2.5 + 8 - 5.0) - (2 / 7 - 3.3) / +4 * 1 + (4.5 - 3.9) * (1.7) / 7.8 / 4.2) * 219 * 3 / -43.9 * 3.6326 / -2 * 6.03 / 1.2 - 19.91 * 5 / -369 - (-0 - 6 / 6.6 / 2 + (3.3 + 8.3) / 2 * 6.1 - +1.6 * 0.5 / 7) * +4 * +6374.2 * 5.5 * -42.8 / (7 - 0)))', '((0.4 / -(0.5817) * ++737.931 / 36634.6 / +((7.3) / 9.3 * 8 + 4 * 4.8 - 9.0 + 1.5) * 1 / (0.2 - 8.4)))', '((-76.1))', '((596.0 / +-27.655 * (0 * -+9 * 88.25 - +(1 + 2) * +(8.1) / (6.1)) / 5561 - (2 / +43) * +-+31 * 3 * 7 + -+--(1.0 / 7.8 + 9 + 0) + 4))', '((+(6.53 * +101 / 5 / (9.4 - 0) * 4) / (6.0) / (-(7 * 2.9) * (5 / 5 + 1 + 5) + 743.64 - (7.2 - 1)) / (29 * (9.6 - 3.7) * 7.5 / 5.4 / 3 - -3) / (0 - (0) - 9 / 9.7 + 9 - 5) / (8.1) / +7 * 9))', '((8576.0891914 * 0 * (-+49 / 47.0 * --3.7 * -1 / 8 * 6 + +25.40 / +9.7 / (1)) - +(0.9 * +(7.8) / +(6.4) * (7)) / 21.05 / -552.91 * 1.8 / +(8 * 4) * --+5 / -3.7 / (2) / 3 / 7))', '((8.5))', '((+(++9.1 + -(9) * +-(8.9) / (4.8)) - 99653.277 + ---+-56 * (+0 * +(6.4) * 5.4 + +3 - (2.7) / 9) * 7388))', '((+-7))', '(((32 / +(2.9 / 0.3 / 7 - 1.7 + 5.6 + 9.3) - 17 + -++(4.3) * +1.2) + --(944.6 / 8.49 / 0.9 + 00 / (2.9) * 7.7 * 4.6 - (0.9) / 5.0 / 7 - 2 / 2.3 - 6 + 6.9) / --+-4.592 * (2.95 + 82.6 / 8 * 8.4 * 6 - 5 + 6.8 / 8 + 7.3 - 1) / -090.9))', '((0.23 + (((0 + 1.9) / (4.3) / 0 * 2.6 - (4) + 9 * 6 + 6.6 + 0.5) / -(4) * 35.7 + +-++9 / 41 - ++6 / 93.73 + 6.9) * +1 * -((9)) / (97.33 - +3.1) + 2.25))', '((((0 * -+9.5 * (8) / 8 * 3.1) / 7210.04783) + -9 / -+++4.95 * 1332 * (+(0.9) - -6.3 / 5.5 / 6.3) / ++91))']  In [108]: Out [108]: # abstract paths 1 (996, 996)  ## Lua We now provide a fully worked out example using Lua. Importing allprerequisites: In [109]: We also have a separate grammar file which was converted from the ANTLR Lua grammar. In [110]: Since we have an external compiler, we also have to define how to execute it. In [111]: In [112]: A wrapper to write the input string to a file first. In [113]: ### The predicate The compiler is Lua 5.3.5 compiled and linked. In [114]: The bug corresponds to the 4th bug here. In [115]: In [116]: Other helpers to load the grammar and the bug In [117]: In [118]: In [119]: We define a coalesce to manage the tokens. In [120]: In [121]: In [122]: Out [122]: 'f=load(function() end)\ninteresting={}\ninteresting[0]=string.rep("A",512)\ndebug.upvaluejoin(f,1,f,1)'  In [123]: Out [123]: <PRes.success: 'SUCCESS'>  In [124]: Out [124]: ['[start]', '[grammar]']  ### Reduction In [125]: In [126]: Out [126]: 'f=load(function() end)\ninteresting={}\ninteresting[0]=string.rep("A",512)\ndebug.upvaluejoin(f,1,f,1)'  ### Abstraction In [127]: Out [127]: 7 isolation: <chunk> St.unchecked O paths: U paths: 35 check: <chunk> St.unchecked 36 check: <block> St.unchecked 37 check: <_block_re_1> St.unchecked 38 check: <_block_STAR_0> St.unchecked 39 check: <stat> St.unchecked 40 check: <varlist> St.unchecked 41 check: <var> St.unchecked 42 check: <_var_re_51> St.unchecked 43 check: <_var_OR_48> St.unchecked 44 check: <_var_SEQ_49> St.unchecked 45 check: <_NAME_sp_> St.unchecked 46 check: <_SKIP> St.unchecked 47 check: <NAME> St.unchecked warn: giving up <NAME> after 1000 and no counterexample found.with 1 valid values abstract: False 48 check: <_var_re_53> St.unchecked 49 check: <_var_STAR_52> St.unchecked 50 check: <_varlist_re_35> St.unchecked 51 check: <_varlist_STAR_32> St.unchecked 52 check: <_SKIP> St.unchecked 53 check: <explist> St.unchecked 54 check: <exp> St.unchecked 55 check: <prefixexp> St.unchecked 56 check: <varOrExp> St.unchecked 57 check: <var> St.unchecked 58 check: <_var_re_51> St.unchecked 59 check: <_var_OR_48> St.unchecked 60 check: <_var_SEQ_49> St.unchecked 61 check: <_NAME_sp_> St.unchecked 62 check: <_SKIP> St.unchecked 63 check: <NAME> St.unchecked warn: giving up <NAME> after 1000 and no counterexample found.with 0 valid values abstract: False 64 check: <_var_re_53> St.unchecked 65 check: <_var_STAR_52> St.unchecked 66 check: <_prefixexp_re_45> St.unchecked 67 check: <_prefixexp_STAR_44> St.unchecked 68 check: <nameAndArgs> St.unchecked 69 check: <_nameAndArgs_re_63> St.unchecked 70 check: <_nameAndArgs_Q_60> St.unchecked 71 check: <args> St.unchecked 72 check: <_SKIP> St.unchecked 73 check: <_args_re_65> St.unchecked 74 check: <_args_Q_64> St.unchecked 75 check: <explist> St.unchecked 76 check: <exp> St.unchecked 77 check: <functiondef> St.unchecked 78 check: <_SKIP> St.unchecked 79 check: <funcbody> St.unchecked 80 check: <_SKIP> St.unchecked 81 check: <_funcbody_re_67> St.unchecked 82 check: <_funcbody_Q_66> St.unchecked 83 check: <_SKIP> St.unchecked 84 check: <block> St.unchecked 85 check: <_block_re_1> St.unchecked 86 check: <_block_STAR_0> St.unchecked 87 check: <_block_re_3> St.unchecked 88 check: <_block_Q_2> St.unchecked 89 check: <_SKIP> St.unchecked 90 check: <_explist_re_43> St.unchecked 91 check: <_explist_STAR_40> St.unchecked 92 check: <_SKIP> St.unchecked 93 check: <_prefixexp_STAR_44> St.unchecked 94 check: <_explist_re_43> St.unchecked 95 check: <_explist_STAR_40> St.unchecked 96 check: <_block_STAR_0> St.unchecked 97 check: <stat> St.unchecked 98 check: <varlist> St.unchecked 99 check: <var> St.unchecked 100 check: <_var_re_51> St.unchecked 101 check: <_var_OR_48> St.unchecked 102 check: <_var_SEQ_49> St.unchecked 103 check: <_NAME_sp_> St.unchecked 104 check: <_SKIP> St.unchecked 105 check: <NAME> St.unchecked warn: giving up <NAME> after 1000 and no counterexample found.with 0 valid values abstract: False 106 check: <_var_re_53> St.unchecked 107 check: <_var_STAR_52> St.unchecked 108 check: <_varlist_re_35> St.unchecked 109 check: <_varlist_STAR_32> St.unchecked 110 check: <_SKIP> St.unchecked 111 check: <explist> St.unchecked 112 check: <exp> St.unchecked 113 check: <tableconstructor> St.unchecked 114 check: <_SKIP> St.unchecked 115 check: <_tableconstructor_re_73> St.unchecked 116 check: <_tableconstructor_Q_72> St.unchecked 117 check: <_SKIP> St.unchecked 118 check: <_explist_re_43> St.unchecked 119 check: <_explist_STAR_40> St.unchecked 120 check: <_block_STAR_0> St.unchecked 121 check: <stat> St.unchecked 122 check: <varlist> St.unchecked 123 check: <var> St.unchecked 124 check: <_var_re_51> St.unchecked 125 check: <_var_OR_48> St.unchecked 126 check: <_var_SEQ_49> St.unchecked 127 check: <_NAME_sp_> St.unchecked 128 check: <_SKIP> St.unchecked 129 check: <NAME> St.unchecked warn: giving up <NAME> after 1000 and no counterexample found.with 0 valid values abstract: False 130 check: <_var_re_53> St.unchecked 131 check: <_var_STAR_52> St.unchecked 132 check: <varSuffix> St.unchecked 133 check: <_varSuffix_re_55> St.unchecked 134 check: <_varSuffix_STAR_54> St.unchecked 135 check: <_varSuffix_re_59> St.unchecked 136 check: <_varSuffix_OR_56> St.unchecked 137 check: <_varSuffix_SEQ_57> St.unchecked 138 check: <_SKIP> St.unchecked 139 check: <exp> St.unchecked 140 check: <number> St.unchecked 141 check: <_INT_sp_> St.unchecked 142 check: <_SKIP> St.unchecked 143 check: <INT> St.unchecked 144 check: <_SKIP> St.unchecked 145 check: <_var_STAR_52> St.unchecked 146 check: <_varlist_re_35> St.unchecked 147 check: <_varlist_STAR_32> St.unchecked 148 check: <_SKIP> St.unchecked 149 check: <explist> St.unchecked 150 check: <exp> St.unchecked 151 check: <string> St.unchecked 152 check: <_NORMALSTRING_sp_> St.unchecked 153 check: <_SKIP> St.unchecked 154 check: <NORMALSTRING> St.unchecked 155 check: <_explist_re_43> St.unchecked 156 check: <_explist_STAR_40> St.unchecked 157 check: <_block_STAR_0> St.unchecked 158 check: <stat> St.unchecked 159 check: <functioncall> St.unchecked 160 check: <varOrExp> St.unchecked 161 check: <var> St.unchecked 162 check: <_var_re_51> St.unchecked 163 check: <_var_OR_48> St.unchecked 164 check: <_var_SEQ_49> St.unchecked 165 check: <_NAME_sp_> St.unchecked 166 check: <_SKIP> St.unchecked 167 check: <NAME> St.unchecked warn: giving up <NAME> after 1000 and no counterexample found.with 0 valid values abstract: False 168 check: <_var_re_53> St.unchecked 169 check: <_var_STAR_52> St.unchecked 170 check: <varSuffix> St.unchecked 171 check: <_varSuffix_re_55> St.unchecked 172 check: <_varSuffix_STAR_54> St.unchecked 173 check: <_varSuffix_re_59> St.unchecked 174 check: <_varSuffix_OR_56> St.unchecked 175 check: <_varSuffix_SEQ_58> St.unchecked 176 check: <_SKIP> St.unchecked 177 check: <_NAME_sp_> St.unchecked 178 check: <_SKIP> St.unchecked 179 check: <NAME> St.unchecked 180 check: <_var_STAR_52> St.unchecked 181 check: <_functioncall_re_47> St.unchecked 182 check: <_functioncall_PLUS_46> St.unchecked 183 check: <nameAndArgs> St.unchecked 184 check: <_nameAndArgs_re_63> St.unchecked 185 check: <_nameAndArgs_Q_60> St.unchecked 186 check: <args> St.unchecked 187 check: <_SKIP> St.unchecked 188 check: <_args_re_65> St.unchecked 189 check: <_args_Q_64> St.unchecked 190 check: <explist> St.unchecked 191 check: <exp> St.unchecked 192 check: <prefixexp> St.unchecked 193 check: <varOrExp> St.unchecked 194 check: <var> St.unchecked 195 check: <_var_re_51> St.unchecked 196 check: <_var_OR_48> St.unchecked 197 check: <_var_SEQ_49> St.unchecked 198 check: <_NAME_sp_> St.unchecked 199 check: <_SKIP> St.unchecked 200 check: <NAME> St.unchecked 201 check: <_var_re_53> St.unchecked 202 check: <_var_STAR_52> St.unchecked 203 check: <_prefixexp_re_45> St.unchecked 204 check: <_prefixexp_STAR_44> St.unchecked 205 check: <_explist_re_43> St.unchecked 206 check: <_explist_STAR_40> St.unchecked 207 check: <_explist_OR_41> St.unchecked 208 check: <_explist_SEQ_42> St.unchecked 209 check: <_SKIP> St.unchecked 210 check: <exp> St.unchecked 211 check: <number> St.unchecked 212 check: <_INT_sp_> St.unchecked 213 check: <_SKIP> St.unchecked 214 check: <INT> St.unchecked 215 check: <_explist_STAR_40> St.unchecked 216 check: <_explist_OR_41> St.unchecked 217 check: <_explist_SEQ_42> St.unchecked 218 check: <_SKIP> St.unchecked 219 check: <exp> St.unchecked 220 check: <prefixexp> St.unchecked 221 check: <varOrExp> St.unchecked 222 check: <var> St.unchecked 223 check: <_var_re_51> St.unchecked 224 check: <_var_OR_48> St.unchecked 225 check: <_var_SEQ_49> St.unchecked 226 check: <_NAME_sp_> St.unchecked 227 check: <_SKIP> St.unchecked 228 check: <NAME> St.unchecked 229 check: <_var_re_53> St.unchecked 230 check: <_var_STAR_52> St.unchecked 231 check: <_prefixexp_re_45> St.unchecked 232 check: <_prefixexp_STAR_44> St.unchecked 233 check: <_explist_STAR_40> St.unchecked 234 check: <_explist_OR_41> St.unchecked 235 check: <_explist_SEQ_42> St.unchecked 236 check: <_SKIP> St.unchecked 237 check: <exp> St.unchecked 238 check: <number> St.unchecked 239 check: <_INT_sp_> St.unchecked 240 check: <_SKIP> St.unchecked 241 check: <INT> St.unchecked 242 check: <_explist_STAR_40> St.unchecked 243 check: <_SKIP> St.unchecked 244 check: <_block_STAR_0> St.unchecked 245 check: <_block_re_3> St.unchecked 246 check: <_block_Q_2> St.unchecked 247 check: <_EOF_sp_> St.unchecked 248 check: <_SKIP> St.unchecked current paths: abstract paths: 0 "\x0c(0x9.--\\r\\n#!--\\r\\nand#!#!false--[[]]and--\\nfunction()end#!~#!false//...--[=[]=]^...&false-nil<=true/true<=nil+true ..#!nil--[[]]#!>=x--\\ror--[[]]true--\\n^--[[]]nil):n[[]]()#![''#!~false]--[[]][--[=[]=]false--[\\r]" '\x0c(0x9.--\\r\\n#!--\\r\\nand#!#!false--[[]]and--\\nfunction()end#!~#!false//...--[=[]=]^...&false-nil<=true/true<=nil+true ..#!nil--[[]]#!>=x--\\ror--[[]]true--\\n^--[[]]nil):n[[]]()#![\'\'#!~false]--[[]][--[=[]=]false--[\\r]=load(function() end)\ninteresting={}\ninteresting[0]="A"\ndebug.upvaluejoin(\x0c(0x9.--\\r\\n#!--\\r\\nand#!#!false--[[]]and--\\nfunction()end#!~#!false//...--[=[]=]^...&false-nil<=true/true<=nil+true ..#!nil--[[]]#!>=x--\\ror--[[]]true--\\n^--[[]]nil):n[[]]()#![\'\'#!~false]--[[]][--[=[]=]false--[\\r],1,\x0c(0x9.--\\r\\n#!--\\r\\nand#!#!false--[[]]and--\\nfunction()end#!~#!false//...--[=[]=]^...&false-nil<=true/true<=nil+true ..#!nil--[[]]#!>=x--\\ror--[[]]true--\\n^--[[]]nil):n[[]]()#![\'\'#!~false]--[[]][--[=[]=]false--[\\r],1)' Similar? ('<var>', 'f') False '\t#!RKL' '\t#!RKL=load(function() end)\ninteresting={}\ninteresting[0]="A"\ndebug.upvaluejoin(\t#!RKL,1,\t#!RKL,1)' Similar? ('<_var_re_51>', 'f') False "(\x0c\rfalse#!>=''#!v<=7......-nil--\\r\\n^(true)or--\\r{...\t}\n\x0c \n---\x0c\\r\\n(''--\\r\\n..niland.....(true)\nand''--o\\n) ~=--[=[]=]true#!4<<--[0X7D9.p5){--[[]]}:E\x0c--[[]]{--[[]]}--\\r(true)--\\r\\n(--\\r)[#!nilor6\t<true--]" '(\x0c\rfalse#!>=\'\'#!v<=7......-nil--\\r\\n^(true)or--\\r{...\t}\n\x0c \n---\x0c\\r\\n(\'\'--\\r\\n..niland.....(true)\nand\'\'--o\\n) ~=--[=[]=]true#!4<<--[0X7D9.p5){--[[]]}:E\x0c--[[]]{--[[]]}--\\r(true)--\\r\\n(--\\r)[#!nilor6\t<true--]=load(function() end)\ninteresting={}\ninteresting[0]="A"\ndebug.upvaluejoin((\x0c\rfalse#!>=\'\'#!v<=7......-nil--\\r\\n^(true)or--\\r{...\t}\n\x0c \n---\x0c\\r\\n(\'\'--\\r\\n..niland.....(true)\nand\'\'--o\\n) ~=--[=[]=]true#!4<<--[0X7D9.p5){--[[]]}:E\x0c--[[]]{--[[]]}--\\r(true)--\\r\\n(--\\r)[#!nilor6\t<true--],1,(\x0c\rfalse#!>=\'\'#!v<=7......-nil--\\r\\n^(true)or--\\r{...\t}\n\x0c \n---\x0c\\r\\n(\'\'--\\r\\n..niland.....(true)\nand\'\'--o\\n) ~=--[=[]=]true#!4<<--[0X7D9.p5){--[[]]}:E\x0c--[[]]{--[[]]}--\\r(true)--\\r\\n(--\\r)[#!nilor6\t<true--],1)' Similar? ('<_var_OR_48>', 'f') False '#!Td' '#!Td=load(function() end)\ninteresting={}\ninteresting[0]="A"\ndebug.upvaluejoin(#!Td,1,#!Td,1)' Similar? ('<_var_SEQ_49>', 'f') False '--[=[5V]=]--[I(\\r\\nKLG' '--[=[5V]=]--[I(\\r\\nKLG=load(function() end)\ninteresting={}\ninteresting[0]="A"\ndebug.upvaluejoin(--[=[5V]=]--[I(\\r\\nKLG,1,--[=[5V]=]--[I(\\r\\nKLG,1)' Similar? ('<_NAME_sp_>', 'f') False 'if' 'if=load(function() end)\ninteresting={}\ninteresting[0]="A"\ndebug.upvaluejoin(if,1,if,1)' Similar? ('<NAME>', 'f') False '--[[I]](--[==[]==])--[=[]=][#!{[false]=...#!}--[[]]]' 'f=load(function() end)--[[I]](--[==[]==])--[=[]=][#!{[false]=...#!}--[[]]]={}--[[I]](--[==[]==])--[=[]=][#!{[false]=...#!}--[[]]][0]="A"\ndebug.upvaluejoin(f,1,f,1)' Similar? ('<_var_re_51>', '\ninteresting') False '#!_q' 'f=load(function() end)#!_q={}#!_q[0]="A"\ndebug.upvaluejoin(f,1,f,1)' Similar? ('<_var_OR_48>', '\ninteresting') False '#!{--[=[j]=] \x0caO' 'f=load(function() end)#!{--[=[j]=] \x0caO={}#!{--[=[j]=] \x0caO[0]="A"\ndebug.upvaluejoin(f,1,f,1)' Similar? ('<_var_SEQ_49>', '\ninteresting') False '#!>PVt' 'f=load(function() end)#!>PVt={}#!>PVt[0]="A"\ndebug.upvaluejoin(f,1,f,1)' Similar? ('<_NAME_sp_>', '\ninteresting') False Similar? ('<NAME>', 'interesting') True '\x0c0x.\r\nE--\\ra\r/--S\\r--[[]]\r\x0c...and\r#!--\\r\\n~--[[]]0Xed.44\n--[[]]and----[[]]true' 'f=load(function() end)\ninteresting={}\ninteresting[0]="A"\ndebug.upvaluejoin(\x0c0x.\r\nE--\\ra\r/--S\\r--[[]]\r\x0c...and\r#!--\\r\\n~--[[]]0Xed.44\n--[[]]and----[[]]true,1,\x0c0x.\r\nE--\\ra\r/--S\\r--[[]]\r\x0c...and\r#!--\\r\\n~--[[]]0Xed.44\n--[[]]and----[[]]true,1)' Similar? ('<exp>', 'f') False '--\\r\\n(--[==[]==]#!#!nnil\x0c)' 'f=load(function() end)\ninteresting={}\ninteresting[0]="A"\ndebug.upvaluejoin(--\\r\\n(--[==[]==]#!#!nnil\x0c),1,--\\r\\n(--[==[]==]#!#!nnil\x0c),1)' Similar? ('<prefixexp>', 'f') False '--[=[]=]--[[]]--\\r\\nISgJ' 'f=load(function() end)\ninteresting={}\ninteresting[0]="A"\ndebug.upvaluejoin(--[=[]=]--[[]]--\\r\\nISgJ,1,--[=[]=]--[[]]--\\r\\nISgJ,1)' Similar? ('<varOrExp>', 'f') False "--[=[LLy]=],--\\r\\nnil#!*--[\\r\\n{[nil]=...--[[]]}\rand...>...-function()end<={}--\\r+(false)..nil-true#!and--[[]]...--\\rand...>''//#!{--[[]]}\n//''" 'f=load(function() end)\ninteresting={}\ninteresting[0]="A"\ndebug.upvaluejoin(f--[=[LLy]=],--\\r\\nnil#!*--[\\r\\n{[nil]=...--[[]]}\rand...>...-function()end<={}--\\r+(false)..nil-true#!and--[[]]...--\\rand...>\'\'//#!{--[[]]}\n//\'\',f--[=[LLy]=],--\\r\\nnil#!*--[\\r\\n{[nil]=...--[[]]}\rand...>...-function()end<={}--\\r+(false)..nil-true#!and--[[]]...--\\rand...>\'\'//#!{--[[]]}\n//\'\')' Similar? ('<_explist_OR_41>', ',1') False '--[===[]===],#!Otrue' 'f=load(function() end)\ninteresting={}\ninteresting[0]="A"\ndebug.upvaluejoin(f--[===[]===],#!Otrue,f--[===[]===],#!Otrue)' Similar? ('<_explist_SEQ_42>', ',1') False 'false--[==[#]==]..--[\\r\\n((...).B.D--\\n)#!{[nil]=...--\\r\\n}--[==[]==]#!+--[=M\\nfunction--[&--\\r\\n(--[[]]A,...)--[=[]=]return... ;\nend' 'f=load(function() end)\ninteresting={}\ninteresting[0]="A"\ndebug.upvaluejoin(f,false--[==[#]==]..--[\\r\\n((...).B.D--\\n)#!{[nil]=...--\\r\\n}--[==[]==]#!+--[=M\\nfunction--[&--\\r\\n(--[[]]A,...)--[=[]=]return... ;\nend,f,false--[==[#]==]..--[\\r\\n((...).B.D--\\n)#!{[nil]=...--\\r\\n}--[==[]==]#!+--[=M\\nfunction--[&--\\r\\n(--[[]]A,...)--[=[]=]return... ;\nend)' Similar? ('<exp>', '1') False '--[=--\\r0x.#!xA#!b--[[]]P99' 'f=load(function() end)\ninteresting={}\ninteresting[0]="A"\ndebug.upvaluejoin(f,--[=--\\r0x.#!xA#!b--[[]]P99,f,--[=--\\r0x.#!xA#!b--[[]]P99)' Similar? ('<number>', '1') False '--[ga\\r--[==[]==]--[A\\r\\n82' 'f=load(function() end)\ninteresting={}\ninteresting[0]="A"\ndebug.upvaluejoin(f,--[ga\\r--[==[]==]--[A\\r\\n82,f,--[ga\\r--[==[]==]--[A\\r\\n82)' Similar? ('<_INT_sp_>', '1') False '#!8--[[8]]05--[t\\r1' 'f=load(function() end)\ninteresting={}\ninteresting[0]="A"\ndebug.upvaluejoin(f,#!8--[[8]]05--[t\\r1,f,#!8--[[8]]05--[t\\r1)' Similar? ('<INT>', '1') False  In [128]: Out [128]: 'f=load(function() end)\ninteresting={}\ninteresting[0]="A"\ndebug.upvaluejoin(f,1,f,1)'  In [129]: Out [129]: 'f=load(function() end)\n<$NAME_1>={}\n<\$NAME_1>[0]="A"\ndebug.upvaluejoin(f,1,f,1)'


In [130]:

Out [130]:

### Fuzzing

In [131]:

Out [131]:

# abstract paths 4

(291, 291)