1. References: “Pruning Dynamic Slices With Confidence’’, by X. Zhang, N. Gupta and R. Gupta (PLDI 2006). “Locating Faults Through Automated Predicate Switching’’, by X. Zhang, N. Gupta and R. Gupta (ICSE 2006). “Locating Faulty Code Using Failure-Inducing Chops’’, by N. Gupta, H. He, X. Zhang, N. Gupta and R. Gupta (ASE 2005). Automated Debugging

2. 2 Problem Statement Given a faulty program and an input for which the program fails, identify as small as possible a subset of executed statements that is likely to contain the faulty code.

3. 3 Prior Approaches Backward Dynamic Slicing [Korel and Laski IPL’98], [Agrawal and Horgan PLDI’90] [Zhang, Gupta, Zhang, ICSE’03, ICSE’04] Delta Debugging [Zeller and Hildebrandt TSE’02], [Zeller FSE’02 ]

4. 4 Program Slice Backward Program Slice of a variable at a point in a program is the set of statements that might affect the value of the variable at that point. (static slice) “Program Slices: Formal, psychological, and practical investigations of an automatic program abstraction method”, Mark Wiser – [PhD Thesis, 1979]. “Programmers use Slicing when Debugging”, by Mark Wiser -- [CACM ’82]. “Program Slicing”, by M. Wiser -- [IEEE TSE, 1984].

5. 5 Dynamic Program Slice Dynamic Program Slice of a variable at a point in the execution trace for an input is the set of statements that actually affected the value of the variable at that point during the execution. “Dynamic Program Slicing”, by B. Korel and J. Laski -- [IPL, 1988]. “Dynamic Program Slicing”, by H. Agrawal and J. Horgan -- [PLDI, 1990]. “Precise Dynamic Algorithms”, by X. Zhang, R.Gupta, Y. Zhang -- [ICSE 2003].

6. 6 Backward Dynamic Slicing Construct a dynamic dependence graph and compute a transitive closure over dynamic control and data dependences to compute the slice Backward dynamic slice of a faulty output is expected to contain the faulty code. However, backward dynamic slices can be much larger than the faulty code.

7. 7 Delta Debugging Given a faulty program and a failed run, Simplify or Isolate a minimal failure-inducing input. [Zeller and Hildebrandt TSE’02] Isolate minimal failure-inducing differences in program states of a failed run and a successful run and build a cause effect chain in terms of relevant state differences [Zeller FSE’02] It is not easy to link cause effect chains to faulty source code.

8. 8 Delta Debugging: Cause Effect Chains Cause Effect Chain

9. 9 Motivation To narrow the search for faulty code by combining the potential of Delta Debugging in identifying a minimal failure- inducing input Dynamic program slicing in able to link a failed output directly to the source code causing the failure

10. 10 Our Approach Given a failed run: Identify a minimal failure- inducing input Compute forward dynamic slice (FS) of the input identified above Compute backward dynamic slice (BS) of the faulty output Intersect FS and BS to compute Failure Inducing Chop “Locating Faulty Code Using Failure-Inducing Chops’’, by N. Gupta, H. He, X. Zhang, N. Gupta and R. Gupta (ASE 2005).

11. 11 Minimal Failure Inducing Input  Simplify Input for Failed Run ( I f ) to produce minimal Input I f ’ such that removing any single input entity from I f ’ causes the failure to disappear.  Isolate minimum failure-inducing input difference between inputs for a failing and a passing run. Given inputs I f and I s for a failed and a passing run respectively, compute I f ’ and I s ’ such that any single part of I f ’- I s ’ if removed from I f ’ will cause the failure to disappear if added to I s ’ will cause the failure to appear.

12. 12 Computing Minimal Failure-Inducing input Instead of binary input division algorithms ddmin and dd from [Zeller TSE’02], a linear search algorithm by removing input from one end may also be used to identify minimal-failure inducing input. In fact, removal of input from one end may also be done in a binary manner to speed up the search for failure inducing input.

13. 13 Experiments: Siemens Suite

14. 14 Experiments: Siemens Suite

15. 15 Experiments: Siemens Suite

16. 16 Experiments: Siemens Suite

17. 17 Experiments: Memory Related Bugs 8164 1923 716 LOC 25854 8288 31132 - The statement causing memory corruption was always found Note that forward slices were much smaller than backward slices and in the Fchop in the above experiments. were as effective as dynamic slices in containing the failure causing code.

18. 18 Automatic Predicate Switching Given an failing execution, automatically recognize an executed predicate instance, critical predicate, forcibly flipping which produces the correct output. The critical predicate is provided as evidence to the program failure in addition to the wrong output. “ Locating Faults Through Automated Predicate Switching’’, by X. Zhang, N. Gupta and R. Gupta (ICSE 2006).

19. 19 Bidirectional Slicing with Critical Predicates Given a failed run: Identify the critical predicate Compute bidirectional slice (BiS) of the critical predicate FS(CP) BiS(CP) + CP

20. 20 Coarse-grained Pruning by Intersecting Slices failure inducing input BS FS FS(CP) BiS(CP) + CP BS^FS Coarse-grained pruning by intersecting multiple types (backward, forward, bidirectional) of dynamic slices -- [ASE’05, ICSE’06]

21. 21 Forward Slice limitations Input1 = (a=3, b=2, c=1)  failed run Input2 = (a=1, b=2, c=1)  sucessful run - include statements in BwdSlice that do not depend upon any input variable into FwdSlice

22. 22 Backward Slice limitations Input = (a=1, b=2)  failed run Execution trace: 1,2,3,4,6 BwdDS (y, 6, Input) = {3}  does not contain line 4. - Use relevant backward dynamic slice

23. 23 Further Pruning Using Confidence Analysis Types of evidences used in coarse-grained pruning: Wrong output Failure inducing input Critical predicate Fine-grained pruning of a backward slice by exploiting partially correct output using confidence analysis “ Pruning Dynamic Slices With Confidence’’, by X. Zhang, N. Gupta and R. Gupta (PLDI 2006).

24. 24 Fine-grained Pruning by Exploiting Correct Outputs …… 10. A = 1 (Correct: A=3) …... 20. B = A % 2 …… 30. C = A + 2 …… 40. Print (B) 41. Print (C)  Correct outputs produced in addition to wrong output.  BS(O wrong ) – BS (O correct ) is problematic. BS(C@41)= {10, 30, 41} BS(B@40)= {10, 20, 40} BS(C@41)-BS(B@40) = {30,41}

25. 25 Confidence Analysis  Value produced at node n can reach only wrong output nodesn There is no evidence that n is correct, so it should be in the pruned slice. Should we include n in the slice?? Confidence(n)=0 Confidence(n)=?; 0 ≤ ? ≤ 1  Value produced at node n can reach both the correct and wrong output nodes.nnn Confidence(n)=1  Value produced at n can reach only correct outputs There is no evidence of incorrectness of n. Therefore it cannot be in the slice.

26. 26 Confidence Analysisnn Range(n)={ a, b, c, d, e, f, g } Alt(n)={ a } Value(n) = a Value(n) = bValue(n) = c, c When |Alt(n)|==1, we have the highest confidence (=1) on the correctness of n; When |Alt(n)|==|Range(n)|, we have the lowest confidence (=0). |Range(n)| >= |Alt(n)|>=1 Alt(n) is a set of possible values of the variable defined by n, that when propagated through the dynamic dependence graph, produce the same values for correct outputs.

27. 27 Confidence Analysis: Example …… 10. A =... …... 20. B = A % 2 …… 30. C = A + 2 …… 40. Print (B) 41. Print (C)

28. 28 Confidence Analysis: Two Problems  How to decide the Range of values for a node n? Based on variable type (e.g., Integer). Static range analysis. Our choice:  Dynamic analysis based on value profiles.  Range of values for a statement is the set of values defined by all of the execution instances of the statement during the program run.  How to compute Alt(n)? Consider the set of correct output values as constraints. Compute Alt(n) by backward propagation of constraints through the dynamic dependence subgraph corresponding to the slice.

29. 29 Computing Alt(n) Along Data Dependence S1: T=...9 S2: X=T+110 S3: Y=T%30 (X,T)= (6,5) (9,8) (10,9) (T,...)= (1,...) (3,...) (5,...) (8,...) (9,...) (Y,T)=( 0,3) (0,9) (1,1) (2,5) (2,8) alt(T@S2)={9} alt(T@S3)={1,3,9} alt(S1) = alt(T@S2) ∩ alt (T@S3) = {9} alt(S2)={10} alt(S3)={0,1}

30. 30 Computing Alt(n) Along Control Dependence S1: if (P) …True S2: X=T+110 S3: Y=T%30 (X,T)= (6,5) (9,8) (10,9) (Y,T)=( 0,3) (0,9) (1,1) (2,5) (2,8) alt(S1) = {True} alt(S2)={10} alt(S3)={0,1}

31. 31 Characteristics of Siemens Suite Programs ProgramDescriptionLOCVersionsTests print_tokensLexical analyzer 56554072 print_tokens2Lexical analyzer 51054057 replacePattern replacement 56385542 schedulePriority scheduler 41232627 schedule2Priority scheduler 30732683 gzipUnix utility 800911217 flexUnix utility 124188525 Each faulty version has a single manually injected error. All the versions are not included:  No output is produced.  Faulty statement is not contained in the backward slice. For each version three tests were selected.

32. 32 Results of Pruning ProgramDSPDS max PDS max / DS PDS min %Missed by PDS min print_tokens 1103531.8%350% print_tokens2 1145548.2%550% replace 1316045.8%4338.1% schedule 1177059.8%5620% schedule2 905864.4%500% gzip 35712133.9%10100% flex 727273.7%250% On average, PDS max = 41.1% of DS

33. 33 Confidence Based Prioritization DD – dep. distance CV – confidence values Executed statement instances examined (%)

34. 34 The Potential of Confidence Analysis (1)  Case Study (replace v14) 88  74  23 Dynamic Slicer With Confidence Pruned Slices User Verified Statements as correct Buggy Code Input

35. 35 The Potential of Confidence Analysis (2)  Relevant slicing (gzip v3 run r1) Potential dep. Data dep.

36. 36 Conclusions Our work for the first time shows how application of forward dynamic slices in locating faulty code is enabled by the delta debugging technique. We have introduced the notion of switching predicate and defined a bidirectional slice to narrow the search for faulty code We have developed a framework for confidence analysis that exploits partially correct output Our approach enables combining various types of evidences such as wrong output, failure inducing input, critical predicate and partially correct output to reduce the search space for faulty code and to broaden the applicability of dynamic slicing.