File size: 48,528 Bytes
5f143d7
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
9f85f8a
5f143d7
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
# Design Document: SQLite₁ β†’ Pipe SQL β†’ SQLiteβ‚‚ Validation & Feedback Loop

## 1. Problem Statement

The decompiler transforms standard SQL into pipe SQL. We must prove that this transformation preserves semantics β€” that the pipe SQL, when executed, returns exactly the same results as the original.

This document designs a closed-loop validation system using a **tiered benchmark strategy**: Spider 1.0 as the primary lightweight dataset (~1 GB), with BIRD Mini-Dev as a secondary stress test.

```

SQLite₁ (gold SQL) ──execute──► Result Set A

        β”‚

        β–Ό

   [Decompiler]

        β”‚

        β–Ό

   Pipe SQL (synthesized)

        β”‚

        β–Ό

   [SQLGlot transpile pipe→sqlite]

        β”‚

        β–Ό

SQLiteβ‚‚ (round-tripped) ──execute──► Result Set B



    Result Set A == Result Set B ?

```

**Goal**: For every query in the benchmark, `Result Set A == Result Set B`. Any mismatch triggers a diagnostic feedback loop that identifies the root cause and feeds corrections back into the decompiler.

---

## 2. Data Source: Tiered Benchmark Strategy

### 2.1 Why Not BIRD-SQL Directly?

The full BIRD-SQL benchmark is **33.4 GB** β€” most of that bulk comes from a few massive databases (financial, geographic datasets). This creates unnecessary friction for iterative decompiler development where fast feedback cycles matter most.

### 2.2 Tier 1 (Primary): Spider 1.0

| Property | Value |
|---|---|
| Total queries | 10,181 (8,659 train + 1,034 dev + 2,147 test) |
| Database engine | SQLite |
| Number of databases | 200 (across 138 domains) |
| Database size | **~1 GB total** |
| Difficulty levels | easy, medium, hard, extra hard |
| Ground truth | Execution-verified SQL with known-correct result sets |
| Download | yale-lily.github.io/spider |

Spider 1.0 is ideal as the primary validation dataset because:
1. **Lightweight** β€” ~1 GB total, 200 small SQLite databases. Fast to download, fast to iterate.
2. All databases are **SQLite** β€” no external database setup required.
3. Ground truth SQL is **execution-verified** β€” we know the gold SQL produces correct results.
4. Queries cover JOINs, aggregations, subqueries, GROUP BY, ORDER BY, HAVING, nested queries, and set operations.
5. **Well-studied** β€” extensive prior work means known failure modes and edge cases are documented.
6. 200 databases across 138 domains provide broad schema diversity.

### 2.3 Tier 2 (Stress Test): BIRD Mini-Dev

| Property | Value |
|---|---|
| Total queries | 500 (curated high-quality subset) |
| Database engine | SQLite |
| Number of databases | 11 |
| Database size | ~few GB (much smaller than full BIRD's 33.4 GB) |
| Difficulty levels | simple, moderate, challenging |
| Download | HuggingFace `birdsql/bird_mini_dev` |

BIRD Mini-Dev is used as a secondary stress test because:
1. Queries are harder than Spider β€” more complex JOINs, domain-specific reasoning, challenging expressions.
2. 500 curated queries is manageable but tests edge cases Spider may miss.
3. Uses the same 11 dev databases as full BIRD but without the massive train databases.

### 2.4 Tier 3 (Production Scale-Up): Full BIRD Train

Once the decompiler passes Tier 1 and Tier 2, apply it to the full BIRD train set (9,428 queries, 33.4 GB) for large-scale golden corpus generation. This is a one-time batch job β€” the 30+ GB download is justified only at this stage.

### 2.5 Data Format

**Spider 1.0:**
```

spider/

β”œβ”€β”€ dev.json                         # Question-SQL pairs

β”‚   [

β”‚     {

β”‚       "db_id": "concert_singer",

β”‚       "query": "SELECT count(*) FROM singer",

β”‚       "query_toks": ["SELECT", "count", "(", "*", ")", ...],

β”‚       "question": "How many singers do we have?",

β”‚       "hardness": "easy"

β”‚     },

β”‚     ...

β”‚   ]

β”œβ”€β”€ database/

β”‚   β”œβ”€β”€ concert_singer/

β”‚   β”‚   β”œβ”€β”€ concert_singer.sqlite

β”‚   β”‚   └── schema.sql

β”‚   β”œβ”€β”€ pets_1/

β”‚   β”‚   β”œβ”€β”€ pets_1.sqlite

β”‚   β”‚   └── schema.sql

β”‚   └── ... (200 databases)

└── dev_gold.sql                     # Gold SQL per line

```

**BIRD Mini-Dev:**
```

bird_mini_dev/

β”œβ”€β”€ mini_dev_sqlite.json             # Question-SQL pairs

β”‚   [

β”‚     {

β”‚       "question_id": 7,

β”‚       "db_id": "california_schools",

β”‚       "question": "What is the phone number of ...",

β”‚       "evidence": "",

β”‚       "SQL": "SELECT T2.Phone FROM satscores AS T1 INNER JOIN ...",

β”‚       "difficulty": "simple"

β”‚     },

β”‚     ...

β”‚   ]

β”œβ”€β”€ mini_dev_databases/

β”‚   β”œβ”€β”€ california_schools/

β”‚   β”‚   └── california_schools.sqlite

β”‚   └── ... (11 databases)

└── mini_dev_gold.sql

```

### 2.6 Working Set

| Phase | Dataset | Queries | Purpose |
|---|---|---|---|
| Development & iteration | Spider 1.0 dev | 1,034 | Fast feedback loop (~1 GB, seconds to run) |
| Stress testing | BIRD Mini-Dev | 500 | Harder queries, edge case discovery |
| Production corpus | Spider 1.0 train | 8,659 | Scale-up validated pipe SQL pairs |
| Production corpus | BIRD train | 9,428 | Maximum training data (download 33.4 GB only at this stage) |

---

## 3. Validation Pipeline Architecture

### 3.1 End-to-End Flow

```

β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”

β”‚                        For each (question_id, db_id, gold_sql) β”‚

β”‚                                                                 β”‚

β”‚  β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”     β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”     β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”  β”‚

β”‚  β”‚  gold_sql     │────►│  Execute on  │────►│  Result Set A  β”‚  β”‚

β”‚  β”‚  (SQLite)     β”‚     β”‚  SQLite DB   β”‚     β”‚  (gold result) β”‚  β”‚

β”‚  β””β”€β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”€β”€β”˜     β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜     β””β”€β”€β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”€β”€β”€β”˜  β”‚

β”‚         β”‚                                          β”‚            β”‚

β”‚         β–Ό                                          β”‚            β”‚

β”‚  β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”                                  β”‚            β”‚

β”‚  β”‚  Parse with   β”‚                                  β”‚            β”‚

β”‚  β”‚  SQLGlot      β”‚                                  β”‚            β”‚

β”‚  β”‚  (read=sqlite)β”‚                                  β”‚            β”‚

β”‚  β””β”€β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”€β”€β”˜                                  β”‚            β”‚

β”‚         β”‚                                          β”‚            β”‚

β”‚         β–Ό                                          β”‚            β”‚

β”‚  β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”                                  β”‚            β”‚

β”‚  β”‚  Pre-process  β”‚                                  β”‚            β”‚

β”‚  β”‚  (qualify,    β”‚                                  β”‚            β”‚

β”‚  β”‚   unnest,     β”‚                                  β”‚            β”‚

β”‚  β”‚   simplify)   β”‚                                  β”‚            β”‚

β”‚  β””β”€β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”€β”€β”˜                                  β”‚            β”‚

β”‚         β”‚                                          β”‚            β”‚

β”‚         β–Ό                                          β”‚            β”‚

β”‚  β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”                                  β”‚            β”‚

β”‚  β”‚  Pipe Emitter β”‚                                  β”‚            β”‚

β”‚  β”‚  (AST β†’ pipe  β”‚                                  β”‚            β”‚

β”‚  β”‚   operators)  β”‚                                  β”‚            β”‚

β”‚  β””β”€β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”€β”€β”˜                                  β”‚            β”‚

β”‚         β”‚                                          β”‚            β”‚

β”‚         β–Ό                                          β”‚            β”‚

β”‚  β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”                                  β”‚            β”‚

β”‚  β”‚  pipe_sql     β”‚                                  β”‚            β”‚

β”‚  β”‚  (canonical   β”‚                                  β”‚            β”‚

β”‚  β”‚   pipe syntax)β”‚                                  β”‚            β”‚

β”‚  β””β”€β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”€β”€β”˜                                  β”‚            β”‚

β”‚         β”‚                                          β”‚            β”‚

β”‚         β–Ό                                          β”‚            β”‚

β”‚  β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”                                  β”‚            β”‚

β”‚  β”‚  SQLGlot      β”‚                                  β”‚            β”‚

β”‚  β”‚  transpile    β”‚                                  β”‚            β”‚

│  │  pipe→sqlite  │                                  │            │

β”‚  β””β”€β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”€β”€β”˜                                  β”‚            β”‚

β”‚         β”‚                                          β”‚            β”‚

β”‚         β–Ό                                          β”‚            β”‚

β”‚  β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”     β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”     β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”  β”‚

β”‚  β”‚  sqlite2_sql  │────►│  Execute on  │────►│  Result Set B  β”‚  β”‚

β”‚  β”‚  (round-trip) β”‚     β”‚  same DB     β”‚     β”‚  (pipe result) β”‚  β”‚

β”‚  β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜     β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜     β””β”€β”€β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”€β”€β”€β”˜  β”‚

β”‚                                                    β”‚            β”‚

β”‚                                          β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β–Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β” β”‚

β”‚                                          β”‚   Compare A == B  β”‚ β”‚

β”‚                                          β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜ β”‚

β”‚                                                    β”‚            β”‚

β”‚                            β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”    β”‚

β”‚                            β”‚                       β”‚      β”‚    β”‚

β”‚                            β–Ό                       β–Ό      β–Ό    β”‚

β”‚                         MATCH              MISMATCH   ERROR    β”‚

β”‚                     (log success)      (enter feedback) (triage)β”‚

β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜

```

### 3.2 The Three Outcomes

| Outcome | Meaning | Action |
|---|---|---|
| **MATCH** | `set(Result A) == set(Result B)` | Query is validated. Add to golden corpus. |
| **MISMATCH** | Both execute, but result sets differ | Enter diagnostic feedback loop (Section 5). |
| **ERROR** | SQLiteβ‚‚ fails to execute (syntax error, runtime error) | Enter error triage (Section 6). |

An additional sub-outcome exists:

| Sub-outcome | Meaning | Action |
|---|---|---|
| **DECOMPILE_FAIL** | The decompiler could not transform the query | Log with classification. Attempt fallback strategies. |

| **TIMEOUT** | Execution exceeds 30-second limit | Use BIRD's standard 30s timeout. Score as ERROR. |



---



## 4. Result Comparison Logic



### 4.1 Set-Based Comparison



Following standard text-to-SQL evaluation methodology (used by both Spider and BIRD), comparison is **set-based** β€” row order does not matter:



```python

def compare_results(result_a: List[Tuple], result_b: List[Tuple]) -> bool:

    """Compare two result sets using set equality."""

    return set(result_a) == set(result_b)

```



This is intentionally strict: every row must match exactly. No fuzzy matching, no type coercion.



### 4.2 Enhanced Comparison (For Diagnostic Purposes)



When set comparison fails, we compute additional metrics to diagnose the mismatch:



```python

@dataclass

class ComparisonResult:

    match: bool                    # set(A) == set(B)

    result_a_rows: int

    result_b_rows: int

    result_a_cols: int

    result_b_cols: int



    # Diagnostic fields (only computed on mismatch)

    row_count_match: bool          # len(A) == len(B)

    col_count_match: bool          # same number of columns

    col_types_match: bool          # column types compatible

    sorted_match: bool             # match after sorting both

    subset_a_in_b: bool            # A βŠ† B

    subset_b_in_a: bool            # B βŠ† A

    symmetric_difference: int      # |A β–³ B|

    sample_diff_rows: List[Tuple]  # Up to 5 rows in A but not B

    f1_score: float                # Cell-level F1 (soft metric)



    # Root cause classification

    mismatch_type: str             # See Section 5.2

```



### 4.3 Floating-Point Tolerance



SQLite may return slightly different floating-point results depending on expression evaluation order. We apply a tolerance layer:



```python

def normalize_row(row: Tuple, tolerance: float = 1e-6) -> Tuple:

    """Normalize a row for comparison."""

    normalized = []

    for val in row:

        if isinstance(val, float):

            normalized.append(round(val, 6))

        elif isinstance(val, str):

            normalized.append(val.strip())

        elif val is None:

            normalized.append(None)

        else:

            normalized.append(val)

    return tuple(normalized)



def compare_with_tolerance(result_a, result_b, tolerance=1e-6):

    set_a = set(normalize_row(r, tolerance) for r in result_a)

    set_b = set(normalize_row(r, tolerance) for r in result_b)

    return set_a == set_b

```



### 4.4 Column Order Handling



Standard evaluation compares result sets as sets of tuples, which means column order matters (a row `(1, 'Alice')` β‰  `('Alice', 1)`). Since pipe SQL may reorder columns (e.g., `|> AGGREGATE` outputs grouping columns first, then aggregates), the decompiler must ensure the final `|> SELECT` matches the original column order.



If column reordering is the sole cause of mismatch, it is classified as a **REORDER** mismatch (non-semantic, fixable by adjusting the final SELECT).



---



## 5. Diagnostic Feedback Loop (Mismatch Handling)



### 5.1 Feedback Loop Flow



```

            MISMATCH detected

                 β”‚

                 β–Ό

        β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”

        β”‚  Classify       β”‚

        β”‚  mismatch type  β”‚

        β””β”€β”€β”€β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”€β”€β”˜

                 β”‚

    β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”

    β–Ό            β–Ό            β–Ό              β–Ό               β–Ό

 REORDER    EXTRA_ROWS   MISSING_ROWS   WRONG_VALUES    NULL_DIFF

    β”‚            β”‚            β”‚              β”‚               β”‚

    β–Ό            β–Ό            β–Ό              β–Ό               β–Ό

 Fix final   Diagnose     Diagnose       Diagnose        Diagnose

 SELECT      filter/join  filter/join    expression      NULL handling

 projection  logic        logic          rewriting       differences

    β”‚            β”‚            β”‚              β”‚               β”‚

    β–Ό            β–Ό            β–Ό              β–Ό               β–Ό

        β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”

        β”‚           Generate Fix Hypothesis              β”‚

        β”‚  (which transformation rule is at fault?)      β”‚

        β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜

                             β”‚

                             β–Ό

        β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”

        β”‚           Apply Fix to Decompiler Rule         β”‚

        β”‚           (update rule, add edge case)         β”‚

        β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜

                             β”‚

                             β–Ό

        β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”

        β”‚           Re-run Validation on Affected Queriesβ”‚

        β”‚           (regression test)                    β”‚

        β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜

```



### 5.2 Mismatch Classification



| Type | Symptom | Likely Root Cause | Fix Strategy |

|---|---|---|---|

| **REORDER** | Same rows, different column order | Final `\|> SELECT` doesn't match original column order | Adjust projection rule to preserve original SELECT order |

| **EXTRA_ROWS** | B has rows not in A | WHERE filter was dropped or weakened during transformation | Check WHERE promotion rule; verify HAVING→WHERE conversion |
| **MISSING_ROWS** | A has rows not in B | WHERE filter is too aggressive, or JOIN type changed | Check JOIN linearization (INNER vs LEFT); verify subquery unnesting |

| **WRONG_VALUES** | Same row count, different values | Expression rewriting error (e.g., aggregate alias mismatch, CASE transformation) | Diff the two SQLs at the expression level; identify which column differs |
| **NULL_DIFF** | Mismatch only in NULL-containing rows | NULL ordering difference, or LEFT JOIN β†’ INNER JOIN conversion | Check JOIN types and NULL handling in WHERE conditions |

| **TYPE_DIFF** | Values are "equal" but different types (e.g., `1` vs `1.0`, `"1"` vs `1`) | Type coercion difference between original and CTE-based round-trip | Add type normalization in comparison or fix CAST in decompiler |
| **DUPLICATE_DIFF** | Set sizes differ but distinct values match | DISTINCT was added or dropped during transformation | Check DISTINCT handling in decompiler |



### 5.3 Automated Root Cause Analysis



For each mismatch, the system performs automated analysis:



```python

def diagnose_mismatch(

    gold_sql: str,

    pipe_sql: str,

    sqlite2_sql: str,

    result_a: List[Tuple],

    result_b: List[Tuple],

    db_path: str

) -> DiagnosticReport:

    report = DiagnosticReport()



    # 1. Column count check

    if len(result_a[0]) != len(result_b[0]):

        report.mismatch_type = "REORDER" if sorted(result_a[0]) == sorted(result_b[0]) else "COL_COUNT"

        report.fix_hint = "Adjust final |> SELECT projection"

        return report



    # 2. Row count check

    if len(result_a) != len(result_b):

        extra = set(result_b) - set(result_a)

        missing = set(result_a) - set(result_b)

        if extra and not missing:

            report.mismatch_type = "EXTRA_ROWS"

            report.fix_hint = "WHERE filter dropped or weakened"

        elif missing and not extra:

            report.mismatch_type = "MISSING_ROWS"

            report.fix_hint = "WHERE filter too aggressive or JOIN type changed"

        else:

            report.mismatch_type = "ROW_SWAP"

            report.fix_hint = "Both extra and missing rows β€” logic error in transformation"

        report.sample_extra = list(extra)[:5]

        report.sample_missing = list(missing)[:5]

        return report



    # 3. Value-level diff (same row count)

    # Sort both and compare position by position

    sorted_a = sorted(result_a)

    sorted_b = sorted(result_b)

    diff_positions = []

    for i, (ra, rb) in enumerate(zip(sorted_a, sorted_b)):

        if ra != rb:

            diff_positions.append((i, ra, rb))

    if diff_positions:

        # Check if it's a NULL issue

        null_diffs = [(i, a, b) for i, a, b in diff_positions

                      if any(v is None for v in a + b)]

        if len(null_diffs) == len(diff_positions):

            report.mismatch_type = "NULL_DIFF"

        else:

            report.mismatch_type = "WRONG_VALUES"

        report.sample_diffs = diff_positions[:5]



    # 4. AST diff between gold_sql and sqlite2_sql

    report.ast_diff = compute_ast_diff(gold_sql, sqlite2_sql)



    # 5. Identify which transformation rule likely caused the issue

    report.suspected_rule = identify_suspected_rule(report.ast_diff, report.mismatch_type)



    return report

```



### 5.4 AST Diff for Root Cause Identification



Compare the AST of the original `gold_sql` with the AST of `sqlite2_sql` (the round-tripped version) to pinpoint structural differences:



```python

def compute_ast_diff(sql_a: str, sql_b: str) -> List[str]:

    """Compute structural differences between two SQL ASTs."""

    import sqlglot



    ast_a = sqlglot.parse_one(sql_a, read="sqlite")

    ast_b = sqlglot.parse_one(sql_b, read="sqlite")



    diffs = []



    # Compare FROM clauses

    if ast_a.find(exp.From) and ast_b.find(exp.From):

        if ast_a.find(exp.From).sql() != ast_b.find(exp.From).sql():

            diffs.append(f"FROM changed: {ast_a.find(exp.From).sql()} β†’ {ast_b.find(exp.From).sql()}")



    # Compare JOIN count and types

    joins_a = list(ast_a.find_all(exp.Join))

    joins_b = list(ast_b.find_all(exp.Join))

    if len(joins_a) != len(joins_b):

        diffs.append(f"JOIN count changed: {len(joins_a)} β†’ {len(joins_b)}")

    for i, (ja, jb) in enumerate(zip(joins_a, joins_b)):

        if ja.side != jb.side or ja.kind != jb.kind:

            diffs.append(f"JOIN[{i}] type changed: {ja.side} {ja.kind} β†’ {jb.side} {jb.kind}")



    # Compare WHERE conditions

    where_a = ast_a.find(exp.Where)

    where_b = ast_b.find(exp.Where)

    if (where_a is None) != (where_b is None):

        diffs.append(f"WHERE {'added' if where_b else 'dropped'}")

    elif where_a and where_b and where_a.sql() != where_b.sql():

        diffs.append(f"WHERE changed: {where_a.sql()} β†’ {where_b.sql()}")



    # Compare GROUP BY

    group_a = ast_a.find(exp.Group)

    group_b = ast_b.find(exp.Group)

    if (group_a is None) != (group_b is None):

        diffs.append(f"GROUP BY {'added' if group_b else 'dropped'}")



    # Compare aggregate functions

    aggs_a = sorted(n.sql() for n in ast_a.find_all(exp.AggFunc))

    aggs_b = sorted(n.sql() for n in ast_b.find_all(exp.AggFunc))

    if aggs_a != aggs_b:

        diffs.append(f"Aggregates changed: {aggs_a} β†’ {aggs_b}")



    # Compare SELECT expressions

    if isinstance(ast_a, exp.Select) and isinstance(ast_b, exp.Select):

        sels_a = [e.sql() for e in ast_a.expressions]

        sels_b = [e.sql() for e in ast_b.expressions]

        if sels_a != sels_b:

            diffs.append(f"SELECT changed: {sels_a} β†’ {sels_b}")



    return diffs

```



### 5.5 Suspected Rule Identification



Map mismatch types to likely decompiler rules:



```python

RULE_SUSPECTS = {

    "REORDER":       ["projection_rule"],

    "EXTRA_ROWS":    ["where_rule", "aggregate_rule"],

    "MISSING_ROWS":  ["where_rule", "join_rule", "subquery_rule"],

    "WRONG_VALUES":  ["aggregate_rule", "window_rule", "projection_rule"],

    "NULL_DIFF":     ["join_rule", "where_rule"],

    "TYPE_DIFF":     ["projection_rule"],

    "DUPLICATE_DIFF": ["terminal_rule"],  # DISTINCT handling

    "COL_COUNT":     ["projection_rule", "aggregate_rule"],

}



def identify_suspected_rule(ast_diffs: List[str], mismatch_type: str) -> List[str]:

    suspects = list(RULE_SUSPECTS.get(mismatch_type, []))



    # Refine based on AST diffs

    for diff in ast_diffs:

        if "JOIN" in diff:

            suspects.insert(0, "join_rule")

        if "WHERE" in diff:

            suspects.insert(0, "where_rule")

        if "GROUP BY" in diff:

            suspects.insert(0, "aggregate_rule")

        if "Aggregates" in diff:

            suspects.insert(0, "aggregate_rule")



    return list(dict.fromkeys(suspects))  # deduplicate, preserve order

```



---



## 6. Error Triage (Execution Failures)



### 6.1 Error Categories



When `sqlite2_sql` fails to execute, classify the error:



| Error Category | Example Error Message | Root Cause | Fix Strategy |

|---|---|---|---|

| **SYNTAX** | `near "|>": syntax error` | Pipe syntax leaked into SQLite output (SQLGlot transpile failure) | Fix SQLGlot read/write dialect params |
| **NO_SUCH_TABLE** | `no such table: __tmp1` | CTE chain broken during transpilation | Ensure all CTEs are properly defined |
| **NO_SUCH_COLUMN** | `no such column: t1.name` | Column qualification error after pipe transformation | Fix qualify step or alias propagation |
| **NO_SUCH_FUNCTION** | `no such function: ARRAY_AGG` | BigQuery function leaked into SQLite output | Add function mapping or flag as unsupported |
| **AMBIGUOUS_COLUMN** | `ambiguous column name: id` | Self-join or multi-table query lost its aliases | Fix AS insertion and alias propagation |

| **TYPE_ERROR** | `cannot use aggregate in this context` | Aggregate/non-aggregate mixing in wrong position | Fix expression classification in aggregate rule |
| **TIMEOUT** | Execution exceeded 30s | Query produces cartesian product or infinite recursion | Flag as decompiler bug (likely missing JOIN condition). Use standard 30s timeout. |
| **PARSE_FAIL** | SQLGlot cannot parse gold SQL | Source SQL uses SQLite-specific syntax SQLGlot doesn't support | Log and skip; count toward coverage metric |



### 6.2 Error Handling Flow



```python

def execute_with_error_handling(sql: str, db_path: str, timeout: int = 30) -> ExecutionResult:

    try:

        conn = sqlite3.connect(db_path)

        conn.execute("PRAGMA busy_timeout = 30000")

        cursor = conn.cursor()



        # Execute with timeout

        result = cursor.execute(sql).fetchall()

        col_names = [desc[0] for desc in cursor.description] if cursor.description else []

        return ExecutionResult(success=True, rows=result, columns=col_names)



    except sqlite3.OperationalError as e:

        error_msg = str(e)

        if "no such table" in error_msg:

            return ExecutionResult(success=False, error_category="NO_SUCH_TABLE", error_msg=error_msg)

        elif "no such column" in error_msg:

            return ExecutionResult(success=False, error_category="NO_SUCH_COLUMN", error_msg=error_msg)

        elif "no such function" in error_msg:

            return ExecutionResult(success=False, error_category="NO_SUCH_FUNCTION", error_msg=error_msg)

        elif "ambiguous column" in error_msg:

            return ExecutionResult(success=False, error_category="AMBIGUOUS_COLUMN", error_msg=error_msg)

        elif "near" in error_msg:

            return ExecutionResult(success=False, error_category="SYNTAX", error_msg=error_msg)

        else:

            return ExecutionResult(success=False, error_category="OTHER", error_msg=error_msg)



    except Exception as e:

        return ExecutionResult(success=False, error_category="UNEXPECTED", error_msg=str(e))



    finally:

        conn.close()

```



---



## 7. Known SQLGlot Round-Trip Issues



These are confirmed issues in SQLGlot v29.x that will cause false mismatches. The validation loop must account for them.



### 7.1 Issues That Cause Silent Wrong Answers



| Issue | Description | Impact | Mitigation |

|---|---|---|---|

| `LEAST(a, b)` bug | 2-argument `LEAST(a, b)` drops the second argument, outputs just `a` | Wrong values in result | Patch SQLGlot or post-process: detect LEAST/GREATEST with 2 args and rewrite to `MIN(a, b)` / `MAX(a, b)` |

| `IGNORE NULLS` dropped | SQLGlot silently drops `IGNORE NULLS` from window functions | Wrong NULL handling | Flag queries using IGNORE NULLS as KNOWN_ISSUE |

| `SAFE_CAST` β†’ `CAST` | Safety semantics lost; runtime errors instead of NULL | Execution error or wrong values | Flag SAFE_CAST queries as KNOWN_ISSUE |

| `GROUP_CONCAT ... ORDER BY` dropped | ORDER BY inside GROUP_CONCAT is silently removed | Different string concatenation order | Flag or rewrite to subquery-based ordering |



### 7.2 Issues That Cause Execution Errors



| Issue | Description | Impact | Mitigation |

|---|---|---|---|

| Pipe operators SET/DROP/RENAME/DISTINCT/CALL/WITH | Crash with TypeError in v29.x | Cannot use these operators in pipe output | Avoid these operators in decompiler output; use SELECT/WHERE alternatives |

| `EXCEPT ALL` / `INTERSECT ALL` | SQLite does not support `ALL` modifier | Runtime error | Convert to EXCEPT/INTERSECT (drop ALL if source has no duplicates) |

| `TABLESAMPLE` | Not supported in SQLite | Runtime error | Avoid TABLESAMPLE in pipe output for SQLite targets |



### 7.3 Issues That Cause Cosmetic Differences (Not Semantic)



| Issue | Description | Impact |

|---|---|---|

| `IFNULL` β†’ `COALESCE` | Function renamed during round-trip | None (semantically identical in SQLite) |

| `SUBSTR` β†’ `SUBSTRING` | Function renamed | None (SQLite accepts both) |

| Identifier quoting: `[col]` β†’ `"col"` | Quote style normalized | None |



### 7.4 Pre-Validation Filters



Before comparing results, apply these filters to exclude known-problematic queries:



```python

KNOWN_ISSUE_PATTERNS = [

    (r'\bLEAST\s*\([^,]+,[^,]+\)', "LEAST_2ARG_BUG"),

    (r'\bGREATEST\s*\([^,]+,[^,]+\)', "GREATEST_2ARG_BUG"),

    (r'IGNORE\s+NULLS', "IGNORE_NULLS_DROPPED"),

    (r'SAFE_CAST', "SAFE_CAST_LOSSY"),

    (r'GROUP_CONCAT\s*\([^)]*ORDER\s+BY', "GROUP_CONCAT_ORDER_DROPPED"),

    (r'EXCEPT\s+ALL|INTERSECT\s+ALL', "SET_OP_ALL_UNSUPPORTED"),

    (r'TABLESAMPLE', "TABLESAMPLE_UNSUPPORTED"),

]



def check_known_issues(sql: str) -> List[str]:

    """Return list of known issue tags for a query."""

    import re

    issues = []

    for pattern, tag in KNOWN_ISSUE_PATTERNS:

        if re.search(pattern, sql, re.IGNORECASE):

            issues.append(tag)

    return issues

```



Queries with known issues are tracked separately. They still go through the pipeline, but mismatches attributed to known issues are not counted against the decompiler's success rate.



---



## 8. Feedback Cycle: From Mismatch to Fix



### 8.1 The Iteration Loop



```

β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”

β”‚  ITERATION N                                                  β”‚

β”‚                                                               β”‚

β”‚  1. Run validation pipeline on all dev queries                β”‚

β”‚                                                               β”‚

β”‚  2. Collect results:                                          β”‚

β”‚     β”œβ”€β”€ MATCH:           1,200 queries βœ“                      β”‚

β”‚     β”œβ”€β”€ MISMATCH:          150 queries βœ—                      β”‚

β”‚     β”œβ”€β”€ ERROR:              80 queries βœ—                      β”‚

β”‚     β”œβ”€β”€ DECOMPILE_FAIL:     84 queries ⊘                     β”‚

β”‚     └── KNOWN_ISSUE:        20 queries ~                      β”‚

β”‚                                                               β”‚

β”‚  3. Analyze MISMATCHes by type:                               β”‚

β”‚     β”œβ”€β”€ REORDER:            45 (fix: projection_rule)         β”‚

β”‚     β”œβ”€β”€ EXTRA_ROWS:         30 (fix: where_rule)              β”‚

β”‚     β”œβ”€β”€ MISSING_ROWS:       25 (fix: join_rule)               β”‚

β”‚     β”œβ”€β”€ WRONG_VALUES:       35 (fix: aggregate_rule)          β”‚

β”‚     └── NULL_DIFF:          15 (fix: join_rule)               β”‚

β”‚                                                               β”‚

β”‚  4. Prioritize fixes by impact (most affected queries first)  β”‚

β”‚                                                               β”‚

β”‚  5. Fix decompiler rule(s)                                    β”‚

β”‚                                                               β”‚

β”‚  6. Regression test: re-run on ALL dev queries                β”‚

β”‚     β”œβ”€β”€ Verify: previous MATCHes still MATCH                  β”‚

β”‚     └── Verify: targeted MISMATCHes now MATCH                 β”‚

β”‚                                                               β”‚

β”‚  7. If success rate < 95%: goto ITERATION N+1                 β”‚

β”‚     Else: proceed to train set production                     β”‚

β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜

```



### 8.2 Fix Priority Ranking



Fixes are prioritized by:

1. **Blast radius**: How many queries are affected? Fix the rule that causes the most mismatches first.

2. **Severity**: WRONG_VALUES and MISSING_ROWS are more severe than REORDER.

3. **Fixability**: Some mismatches are caused by SQLGlot limitations (known issues) and cannot be fixed in the decompiler. Deprioritize these.



### 8.3 Regression Guard



Every decompiler change must pass the regression test:



```python

def regression_test(

    previous_results: Dict[int, str],  # question_id -> "MATCH"/"MISMATCH"/"ERROR"

    current_results: Dict[int, str],

) -> RegressionReport:

    regressions = []

    improvements = []



    for qid in previous_results:

        prev = previous_results[qid]

        curr = current_results[qid]



        if prev == "MATCH" and curr != "MATCH":

            regressions.append(qid)  # Previously passing, now failing

        elif prev != "MATCH" and curr == "MATCH":

            improvements.append(qid)  # Previously failing, now passing



    return RegressionReport(

        regressions=regressions,

        improvements=improvements,

        net_change=len(improvements) - len(regressions),

        accept=len(regressions) == 0,  # ZERO regressions policy

    )

```



**Policy**: A decompiler change is accepted only if it causes **zero regressions**. If a fix for one mismatch type causes regressions elsewhere, the fix must be refined.



---



## 9. Execution Harness



### 9.1 Main Entry Point



```python

import json

import sqlite3

from pathlib import Path

from dataclasses import dataclass, field, asdict

from typing import List, Dict, Optional

import sqlglot



@dataclass

class ValidationRecord:

    question_id: int

    db_id: str

    difficulty: str

    gold_sql: str

    pipe_sql: Optional[str] = None

    sqlite2_sql: Optional[str] = None

    outcome: str = ""                    # MATCH, MISMATCH, ERROR, DECOMPILE_FAIL, KNOWN_ISSUE

    mismatch_type: Optional[str] = None

    error_category: Optional[str] = None

    error_msg: Optional[str] = None

    known_issues: List[str] = field(default_factory=list)

    diagnostics: Optional[dict] = None

    result_a_rows: int = 0

    result_b_rows: int = 0



def normalize_entry(entry: dict, source: str = "spider") -> dict:

    """Normalize Spider or BIRD JSON entry to a common format."""

    if source == "spider":

        return {

            "question_id": entry.get("question_id", id(entry)),

            "db_id": entry["db_id"],

            "difficulty": entry.get("hardness", "unknown"),  # Spider uses "hardness"

            "gold_sql": entry["query"],                       # Spider uses "query"

        }

    else:  # bird

        return {

            "question_id": entry["question_id"],

            "db_id": entry["db_id"],

            "difficulty": entry.get("difficulty", "unknown"), # BIRD uses "difficulty"

            "gold_sql": entry["SQL"],                         # BIRD uses "SQL"

        }



def run_validation(

    dev_json_path: str,

    db_dir: str,

    decompiler,                          # The decompiler instance

    output_path: str,

    source: str = "spider",             # "spider" or "bird"

) -> Dict[str, int]:

    """Run the full validation pipeline on the benchmark dev set.



    Args:

        source: "spider" for Spider 1.0 format, "bird" for BIRD/BIRD Mini-Dev format.

    """



    with open(dev_json_path) as f:

        queries = json.load(f)



    records = []

    counters = {"MATCH": 0, "MISMATCH": 0, "ERROR": 0,

                "DECOMPILE_FAIL": 0, "KNOWN_ISSUE": 0, "TIMEOUT": 0}



    for raw_entry in queries:

        entry = normalize_entry(raw_entry, source)

        record = ValidationRecord(

            question_id=entry["question_id"],

            db_id=entry["db_id"],

            difficulty=entry["difficulty"],

            gold_sql=entry["gold_sql"],

        )



        db_path = Path(db_dir) / entry["db_id"] / f"{entry['db_id']}.sqlite"



        # Step 1: Check for known SQLGlot issues

        record.known_issues = check_known_issues(entry["gold_sql"])



        # Step 2: Execute gold SQL β†’ Result Set A

        exec_a = execute_with_error_handling(entry["gold_sql"], str(db_path))

        if not exec_a.success:

            record.outcome = "ERROR"

            record.error_category = "GOLD_SQL_FAIL"

            record.error_msg = exec_a.error_msg

            records.append(record)

            counters["ERROR"] += 1

            continue

        record.result_a_rows = len(exec_a.rows)



        # Step 3: Decompile to pipe SQL

        try:

            result = decompiler.transform(entry["gold_sql"], dialect="sqlite")

            record.pipe_sql = result.pipe_sql

        except Exception as e:

            record.outcome = "DECOMPILE_FAIL"

            record.error_msg = str(e)

            records.append(record)

            counters["DECOMPILE_FAIL"] += 1

            continue



        # Step 4: Transpile pipe SQL back to SQLite

        try:

            sqlite2 = sqlglot.transpile(

                record.pipe_sql, read="bigquery", write="sqlite"

            )[0]

            record.sqlite2_sql = sqlite2

        except Exception as e:

            record.outcome = "ERROR"

            record.error_category = "TRANSPILE_FAIL"

            record.error_msg = str(e)

            records.append(record)

            counters["ERROR"] += 1

            continue



        # Step 5: Execute SQLiteβ‚‚ β†’ Result Set B

        exec_b = execute_with_error_handling(sqlite2, str(db_path))

        if not exec_b.success:

            record.outcome = "ERROR"

            record.error_category = exec_b.error_category

            record.error_msg = exec_b.error_msg

            records.append(record)

            counters["ERROR"] += 1

            continue

        record.result_b_rows = len(exec_b.rows)



        # Step 6: Compare results

        if compare_with_tolerance(exec_a.rows, exec_b.rows):

            record.outcome = "MATCH"

            counters["MATCH"] += 1

        else:

            if record.known_issues:

                record.outcome = "KNOWN_ISSUE"

                counters["KNOWN_ISSUE"] += 1

            else:

                record.outcome = "MISMATCH"

                record.diagnostics = asdict(diagnose_mismatch(

                    entry["SQL"], record.pipe_sql, sqlite2,

                    exec_a.rows, exec_b.rows, str(db_path)

                ))

                record.mismatch_type = record.diagnostics.get("mismatch_type")

                counters["MISMATCH"] += 1



        records.append(record)



    # Write detailed results

    with open(output_path, "w") as f:

        json.dump([asdict(r) for r in records], f, indent=2)



    # Print summary

    total = len(records)

    print(f"\n{'='*60}")

    print(f"Validation Results: {total} queries")

    print(f"{'='*60}")

    for outcome, count in sorted(counters.items()):

        pct = count / total * 100

        print(f"  {outcome:20s}: {count:5d} ({pct:5.1f}%)")

    match_rate = counters["MATCH"] / total * 100

    print(f"{'='*60}")

    print(f"  Match rate: {match_rate:.1f}%")

    effective = (counters["MATCH"] + counters["KNOWN_ISSUE"]) / total * 100

    print(f"  Effective rate (excl. known issues): {effective:.1f}%")



    return counters

```



### 9.2 Difficulty-Stratified Reporting



Report results stratified by difficulty:



```python

def print_stratified_report(records: List[ValidationRecord], source: str = "spider"):

    """Print difficulty-stratified results."""

    by_difficulty = defaultdict(lambda: {"total": 0, "match": 0})



    for r in records:

        by_difficulty[r.difficulty]["total"] += 1

        if r.outcome == "MATCH":

            by_difficulty[r.difficulty]["match"] += 1



    # Spider uses: easy, medium, hard, extra

    # BIRD uses: simple, moderate, challenging

    if source == "spider":

        levels = ["easy", "medium", "hard", "extra"]

    else:

        levels = ["simple", "moderate", "challenging"]



    header = f"{'':15s}"

    for d in levels:

        header += f" {d:>12s}"

    header += f" {'total':>10s}"

    print(f"\n{header}")

    print("-" * (15 + 12 * len(levels) + 10))



    totals = {"total": 0, "match": 0}

    row = f"{'count':15s}"

    for d in levels:

        row += f" {by_difficulty[d]['total']:12d}"

        totals["total"] += by_difficulty[d]["total"]

        totals["match"] += by_difficulty[d]["match"]

    row += f" {totals['total']:10d}"

    print(row)



    row = f"{'match rate':15s}"

    for d in levels:

        rate = by_difficulty[d]["match"] / max(by_difficulty[d]["total"], 1) * 100

        row += f" {rate:11.1f}%"

    overall = totals["match"] / max(totals["total"], 1) * 100

    row += f" {overall:9.1f}%"

    print(row)

```



---



## 10. Intermediate Validation: Pipe SQL Syntax Check



Before transpiling pipe SQL back to SQLite, verify the pipe SQL is syntactically valid:



```python

def validate_pipe_syntax(pipe_sql: str) -> Tuple[bool, Optional[str]]:

    """Verify pipe SQL parses without error."""

    try:

        ast = sqlglot.parse_one(pipe_sql, read="bigquery")

        # Verify it round-trips to valid SQL

        standard = ast.sql(dialect="bigquery")

        return True, None

    except sqlglot.errors.ParseError as e:

        return False, str(e)

```



This catches decompiler bugs that produce syntactically invalid pipe SQL before they reach the execution stage. Syntax errors are cheaper to diagnose than execution mismatches.



### 10.1 Prefix Validation



Exploit the Prefix Property: every prefix of a valid pipe query (up to a `|>` boundary) is itself a valid query. Validate each prefix independently:



```python

def validate_pipe_prefixes(pipe_sql: str) -> List[Tuple[int, bool, Optional[str]]]:

    """Validate each prefix of the pipe query."""

    lines = pipe_sql.strip().split("\n")

    results = []



    prefix = ""

    for i, line in enumerate(lines):

        if i == 0:

            prefix = line

        else:

            prefix += "\n" + line



        valid, error = validate_pipe_syntax(prefix)

        results.append((i, valid, error))



        if not valid:

            break  # First invalid prefix identifies the broken operator



    return results

```



If prefix N is valid but prefix N+1 is not, the bug is in the Nth pipe operator β€” providing precise localization for debugging.



---



## 11. Output Artifacts



### 11.1 Per-Iteration Output



Each validation run produces:



```

pipe_sql/validation_output/

β”œβ”€β”€ iteration_001/

β”‚   β”œβ”€β”€ results.json          # Full per-query results (ValidationRecord array)

β”‚   β”œβ”€β”€ summary.txt           # Stratified match rates

β”‚   β”œβ”€β”€ mismatches.json       # Only MISMATCH records with diagnostics

β”‚   β”œβ”€β”€ errors.json           # Only ERROR records with error details

β”‚   β”œβ”€β”€ decompile_fails.json  # Only DECOMPILE_FAIL records

β”‚   └── golden_pairs.jsonl    # Successfully validated (question, pipe_sql) pairs

β”œβ”€β”€ iteration_002/

β”‚   β”œβ”€β”€ ...

β”‚   └── regression_report.txt # Comparison with iteration_001

└── ...

```



### 11.2 Golden Corpus Output



Queries that achieve MATCH are exported as training data:



```json

{

  "question_id": 7,

  "db_id": "california_schools",

  "question": "What is the phone number of the school that has the highest number of test takers with an SAT score of over 1500?",

  "evidence": "",

  "gold_sql": "SELECT T2.Phone FROM satscores AS T1 INNER JOIN schools AS T2 ON T1.cds = T2.CDSCode ORDER BY T1.NumGE1500 DESC LIMIT 1",

  "pipe_sql": "FROM satscores AS T1\n|> JOIN schools AS T2 ON T1.cds = T2.CDSCode\n|> ORDER BY T1.NumGE1500 DESC\n|> LIMIT 1\n|> SELECT T2.Phone",

  "difficulty": "simple",

  "validation": "MATCH"

}

```



---



## 12. Success Criteria



| Metric | Target | Measured On |

|---|---|---|

| **Match rate** (strict) | β‰₯ 95% of decompilable queries | Spider dev (1,034 queries) |

| **Decompile success rate** | β‰₯ 90% of all queries | Spider dev |

| **Effective rate** (excl. known issues + decompile fails) | β‰₯ 97% | Successfully decompiled queries |

| **Zero regressions per iteration** | 100% | Previous MATCH queries remain MATCH |

| **Error rate** (execution failures) | ≀ 3% of decompilable queries | Spider dev |

| **Match rate by difficulty** | easy β‰₯ 99%, medium β‰₯ 97%, hard β‰₯ 93%, extra hard β‰₯ 88% | Spider dev |

| **Tier 2 stress test** | β‰₯ 90% match rate | BIRD Mini-Dev (500 queries) |



### 12.1 Graduation Criteria



**Tier 1 graduation** (Spider) β€” the validation loop advances to Tier 2 when:

1. Match rate β‰₯ 95% on Spider dev set (1,034 queries).

2. All MISMATCH records have been either fixed or classified as KNOWN_ISSUE.

3. The decompiler has been stable (no regressions) for 2 consecutive iterations.

4. The golden corpus contains β‰₯ 900 validated pipe SQL queries from Spider dev.



**Tier 2 graduation** (BIRD Mini-Dev) β€” production readiness when:
1. Match rate β‰₯ 90% on BIRD Mini-Dev (500 queries).
2. No new categories of MISMATCH discovered (all mismatch types already seen in Tier 1).
3. Any BIRD-specific edge cases have been fixed without regressing Spider results.

At Tier 2 graduation, the decompiler is applied to Spider train (8,659 queries) and then full BIRD train (9,428 queries, 33.4 GB download) for production corpus generation.

---

## 13. Implementation Roadmap

### Week 1: Harness Setup
- Download Spider 1.0 (~1 GB: dev.json + database/)
- Implement execution harness (`run_validation`)
- Implement result comparison logic (set-based + tolerance)
- Run baseline: gold SQL β†’ parse β†’ generate SQLite (no pipe) β†’ execute β†’ compare
- This baseline measures SQLGlot's round-trip fidelity before the decompiler is involved

### Week 2: Decompiler Integration
- Connect the decompiler (from companion design doc) to the validation harness
- Run first full iteration on Spider dev (1,034 queries)
- Implement diagnostic feedback (mismatch classification, AST diff)
- Triage all errors and mismatches from iteration 1

### Week 3–4: Fix Cycle (Tier 1)
- Fix decompiler rules based on mismatch diagnostics
- Run iterations 2–N with regression testing
- Target: 80% β†’ 90% β†’ 95% match rate on Spider dev

### Week 5: Tier 2 Stress Test
- Download BIRD Mini-Dev (500 queries, 11 databases)
- Run decompiler on BIRD Mini-Dev
- Fix any new edge cases discovered
- Target: β‰₯ 90% match rate on BIRD Mini-Dev

### Week 6: Production
- Run decompiler on Spider train set (8,659 queries) β€” generate first golden corpus
- Download full BIRD train set (9,428 queries, 33.4 GB) β€” generate extended corpus
- Feed into trajectory decomposition pipeline (from fine-tuning design doc, Section 7)