xlog-prob 0.5.0

Probabilistic inference engines for XLOG
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
//! GPU buffer allocation and sample management.

use std::collections::{HashMap, HashSet};
use std::sync::Arc;

use cudarc::driver::{CudaView, DeviceSlice, LaunchConfig};
use xlog_core::{Result, ScalarType, Schema, XlogError};
use xlog_cuda::memory::TrackedCudaSlice;
use xlog_cuda::provider::{mc_eval_kernels, MC_EVAL_MODULE};
use xlog_cuda::{CudaBuffer, CudaKernelProvider, LaunchAsync};
use xlog_logic::ast::{
    AggOp, Atom, BodyLiteral, Evidence, PredDecl, ProbFact, ProbQuery, Program, Term,
};
use xlog_runtime::Executor;

use crate::provenance::{atom_key_from_ground_atom, validate_prob, GroundAtom, Value};

use super::{
    AdDecisionDevice, AdSpec, AdTableDevice, GpuMcPlan, McProgram, ProbFactSpec, ProbTableDevice,
};

/// Plan for per-sample executor reset.
///
/// Instead of cloning/restoring the entire store each sample, we classify
/// relations as either *preserve* (deterministic base facts that are never
/// overwritten) or *clear* (everything else).  Preserved relations stay
/// in-place across samples; cleared relations are re-created as empty
/// buffers.
///
/// A predicate that has **both** deterministic facts and dynamic writes
/// (probabilistic / AD / rule-head) is placed in `clear`, and its
/// deterministic base facts are re-loaded each sample from `reload_base`.
pub(super) struct McSampleResetPlan {
    /// Relations to keep untouched (pure deterministic base facts).
    pub(super) preserve: Vec<String>,
    /// Relations to clear to empty buffers each sample (dynamic/sampled/rule-derived).
    pub(super) clear: Vec<(String, Schema)>,
    /// Deterministic base-fact buffers for predicates that are both
    /// deterministic AND dynamic.  These are cloned into the store each
    /// sample after clearing, before `build_sample_buffers` merges sampled
    /// rows on top.
    pub(super) reload_base: Vec<(String, CudaBuffer)>,
}

pub(super) fn upload_slice<T: cudarc::driver::DeviceRepr>(
    provider: &Arc<CudaKernelProvider>,
    src: &[T],
    dst: &mut TrackedCudaSlice<T>,
    label: &str,
) -> Result<()> {
    if src.is_empty() {
        return Ok(());
    }
    provider
        .device()
        .inner()
        .htod_sync_copy_into(src, dst)
        .map_err(|e| XlogError::Kernel(format!("Failed to upload {}: {}", label, e)))
}

pub(super) fn load_deterministic_facts(
    program: &Program,
    schemas: &HashMap<String, Schema>,
    provider: &Arc<CudaKernelProvider>,
    executor: &mut Executor,
) -> Result<()> {
    let mut rows_by_pred: HashMap<String, Vec<Vec<Value>>> = HashMap::new();
    for fact in program.facts() {
        let atom = atom_key_from_ground_atom(&fact.head)?;
        rows_by_pred
            .entry(atom.predicate.clone())
            .or_default()
            .push(atom.args);
    }

    for (pred, rows) in rows_by_pred {
        let schema = schemas.get(&pred).ok_or_else(|| {
            XlogError::Execution(format!(
                "Missing schema for deterministic predicate {}",
                pred
            ))
        })?;
        let buffer = build_buffer_from_rows(provider, schema, &rows)?;
        let deduped = dedup_relation(provider, &buffer)?;
        executor.put_relation(&pred, deduped);
    }

    Ok(())
}

/// Build a reset plan from the compiled MC program and the GPU execution plan.
///
/// A predicate is "preserve-safe" iff it:
/// - has at least one deterministic fact (from `program.facts()`)
/// - is NOT a probabilistic fact predicate (`self.prob_facts`)
/// - is NOT an annotated disjunction choice predicate (`self.annotated_disjunctions`)
/// - is NOT a rule head predicate (`program.rules`, excluding facts)
/// - is NOT a query temp relation (`__xlog_query_*`)
pub(super) fn build_sample_reset_plan(
    gpu_plan: &GpuMcPlan,
    mc_program: &McProgram,
    provider: &Arc<CudaKernelProvider>,
    executor: &Executor,
) -> Result<McSampleResetPlan> {
    // Collect the set of predicates that have deterministic facts.
    let mut det_preds: HashSet<String> = HashSet::new();
    for fact in gpu_plan.program.facts() {
        det_preds.insert(fact.head.predicate.clone());
    }

    // Collect predicates that are "dynamic" — written by sampling or rules.
    let mut dynamic_preds: HashSet<String> = HashSet::new();

    // Probabilistic fact predicates.
    for pf in &mc_program.prob_facts {
        dynamic_preds.insert(pf.atom.predicate.clone());
    }

    // Annotated disjunction choice predicates.
    for ad in &mc_program.annotated_disjunctions {
        for choice in &ad.choices {
            dynamic_preds.insert(choice.predicate.clone());
        }
    }

    // Rule head predicates (proper rules only, not facts).
    for rule in gpu_plan.program.proper_rules() {
        dynamic_preds.insert(rule.head.predicate.clone());
    }

    // Query temp relations.
    for (name, _) in &gpu_plan.schemas {
        if name.starts_with("__xlog_query_") {
            dynamic_preds.insert(name.clone());
        }
    }

    let mut preserve: Vec<String> = Vec::new();
    let mut clear: Vec<(String, Schema)> = Vec::new();
    let mut reload_base: Vec<(String, CudaBuffer)> = Vec::new();

    for (name, schema) in &gpu_plan.schemas {
        let is_det = det_preds.contains(name);
        let is_dyn = dynamic_preds.contains(name);

        if is_det && !is_dyn {
            // Pure deterministic — preserve in-place.
            preserve.push(name.clone());
        } else {
            // Dynamic (possibly also deterministic) — clear each sample.
            clear.push((name.clone(), schema.clone()));

            if is_det && is_dyn {
                // Has both deterministic and dynamic facts: snapshot the
                // deterministic base buffer so we can re-load it each sample.
                let buf = executor.store().get(name).ok_or_else(|| {
                    XlogError::Execution(format!("Missing relation {} for reload snapshot", name))
                })?;
                let cloned = if buf.is_empty() {
                    provider.create_empty_buffer(schema.clone())?
                } else {
                    clone_buffer_device(provider, buf)?
                };
                reload_base.push((name.clone(), cloned));
            }
        }
    }

    Ok(McSampleResetPlan {
        preserve,
        clear,
        reload_base,
    })
}

pub(super) fn clone_buffer_device(
    provider: &Arc<CudaKernelProvider>,
    buffer: &CudaBuffer,
) -> Result<CudaBuffer> {
    if buffer.is_empty() {
        return provider.create_empty_buffer(buffer.schema().clone());
    }

    let mut result_columns = Vec::with_capacity(buffer.arity());
    for col_idx in 0..buffer.arity() {
        let col_type_size = buffer
            .schema()
            .column_type(col_idx)
            .map(|t| t.size_bytes())
            .unwrap_or(4);
        let bytes = (buffer.num_rows() as usize) * col_type_size;
        let Some(src_col) = buffer.column(col_idx) else {
            continue;
        };
        let mut dst_col = provider.memory().alloc::<u8>(bytes)?;
        if bytes > 0 {
            provider
                .device()
                .inner()
                .dtod_copy(src_col, &mut dst_col)
                .map_err(|e| {
                    XlogError::Execution(format!("Failed to clone column on device: {}", e))
                })?;
        }
        result_columns.push(dst_col.into());
    }

    let mut d_num_rows = provider.memory().alloc::<u32>(1)?;
    provider
        .device()
        .inner()
        .dtod_copy(buffer.num_rows_device(), &mut d_num_rows)
        .map_err(|e| XlogError::Execution(format!("Failed to copy row count: {}", e)))?;
    Ok(CudaBuffer::from_columns(
        result_columns,
        buffer.num_rows(),
        d_num_rows,
        buffer.schema().clone(),
    ))
}

fn build_zero_arity_buffer(
    provider: &Arc<CudaKernelProvider>,
    row_count: u32,
    schema: &Schema,
) -> Result<CudaBuffer> {
    let mut d_num_rows = provider.memory().alloc::<u32>(1)?;
    provider
        .device()
        .inner()
        .htod_sync_copy_into(&[row_count], &mut d_num_rows)
        .map_err(|e| XlogError::Kernel(format!("Failed to set row count: {}", e)))?;
    Ok(CudaBuffer::from_columns(
        Vec::new(),
        row_count as u64,
        d_num_rows,
        schema.clone(),
    ))
}

pub(super) fn dedup_relation(
    provider: &Arc<CudaKernelProvider>,
    buffer: &CudaBuffer,
) -> Result<CudaBuffer> {
    let rows = buffer.num_rows();
    if rows == 0 {
        return provider.create_empty_buffer(buffer.schema().clone());
    }
    let key_cols: Vec<usize> = (0..buffer.arity()).collect();
    provider.dedup(buffer, &key_cols)
}

pub(super) fn build_prob_tables_device(
    program: &McProgram,
    provider: &Arc<CudaKernelProvider>,
    schemas: &HashMap<String, Schema>,
) -> Result<(Vec<ProbTableDevice>, Vec<AdTableDevice>, AdDecisionDevice)> {
    let mut prob_rows_by_pred: HashMap<String, Vec<(Vec<Value>, u32)>> = HashMap::new();
    for pf in &program.prob_facts {
        prob_rows_by_pred
            .entry(pf.atom.predicate.clone())
            .or_default()
            .push((pf.atom.args.clone(), pf.var_idx as u32));
    }

    let mut prob_tables: Vec<ProbTableDevice> = Vec::new();
    for (pred, rows) in prob_rows_by_pred {
        let mut tuples: Vec<Vec<Value>> = Vec::with_capacity(rows.len());
        let mut var_idx: Vec<u32> = Vec::with_capacity(rows.len());
        for (tuple, idx) in rows {
            tuples.push(tuple);
            var_idx.push(idx);
        }

        let schema = match schemas.get(&pred) {
            Some(schema) => schema.clone(),
            None => infer_schema_from_values(&tuples)?,
        };

        let buffer = build_buffer_from_rows(provider, &schema, &tuples)?;
        let mut d_var_idx = provider.memory().alloc::<u32>(var_idx.len())?;
        upload_slice(provider, &var_idx, &mut d_var_idx, "prob var indices")?;

        prob_tables.push(ProbTableDevice {
            predicate: pred,
            buffer,
            var_idx: d_var_idx,
        });
    }

    #[derive(Debug)]
    struct AdRow {
        args: Vec<Value>,
        offset: u32,
        len: u32,
        pos: u32,
    }

    let mut decision_vars_flat: Vec<u32> = Vec::new();
    let mut ad_rows_by_pred: HashMap<String, Vec<AdRow>> = HashMap::new();

    for ad in &program.annotated_disjunctions {
        let offset = decision_vars_flat.len() as u32;
        let len = ad.decision_vars.len() as u32;
        decision_vars_flat.extend(ad.decision_vars.iter().map(|v| *v as u32));

        let choices_len = ad.choices.len();
        for (idx, atom) in ad.choices.iter().enumerate() {
            let pos = if ad.has_none {
                idx as u32
            } else if idx + 1 == choices_len {
                len
            } else {
                idx as u32
            };
            ad_rows_by_pred
                .entry(atom.predicate.clone())
                .or_default()
                .push(AdRow {
                    args: atom.args.clone(),
                    offset,
                    len,
                    pos,
                });
        }
    }

    let mut ad_tables: Vec<AdTableDevice> = Vec::new();
    for (pred, rows) in ad_rows_by_pred {
        let mut tuples: Vec<Vec<Value>> = Vec::with_capacity(rows.len());
        let mut offsets: Vec<u32> = Vec::with_capacity(rows.len());
        let mut lengths: Vec<u32> = Vec::with_capacity(rows.len());
        let mut positions: Vec<u32> = Vec::with_capacity(rows.len());

        for row in rows {
            tuples.push(row.args);
            offsets.push(row.offset);
            lengths.push(row.len);
            positions.push(row.pos);
        }

        let schema = match schemas.get(&pred) {
            Some(schema) => schema.clone(),
            None => infer_schema_from_values(&tuples)?,
        };

        let buffer = build_buffer_from_rows(provider, &schema, &tuples)?;
        let mut d_offsets = provider.memory().alloc::<u32>(offsets.len())?;
        let mut d_lengths = provider.memory().alloc::<u32>(lengths.len())?;
        let mut d_positions = provider.memory().alloc::<u32>(positions.len())?;
        upload_slice(provider, &offsets, &mut d_offsets, "AD offsets")?;
        upload_slice(provider, &lengths, &mut d_lengths, "AD lengths")?;
        upload_slice(provider, &positions, &mut d_positions, "AD positions")?;

        ad_tables.push(AdTableDevice {
            predicate: pred,
            buffer,
            decision_offsets: d_offsets,
            decision_lengths: d_lengths,
            choice_positions: d_positions,
        });
    }

    let mut d_decision_vars = provider.memory().alloc::<u32>(decision_vars_flat.len())?;
    upload_slice(
        provider,
        &decision_vars_flat,
        &mut d_decision_vars,
        "AD decision vars",
    )?;

    Ok((
        prob_tables,
        ad_tables,
        AdDecisionDevice {
            decision_vars: d_decision_vars,
        },
    ))
}

pub(super) fn build_sample_buffers(
    provider: &Arc<CudaKernelProvider>,
    sample_bits: &CudaView<'_, u8>,
    prob_tables: &[ProbTableDevice],
    ad_tables: &[AdTableDevice],
    ad_decisions: &AdDecisionDevice,
) -> Result<Vec<(String, CudaBuffer)>> {
    if sample_bits.len() == 0 && (!prob_tables.is_empty() || ad_decisions.decision_vars.len() > 0) {
        return Err(XlogError::Execution(
            "MC sample bits empty but probabilistic variables exist".to_string(),
        ));
    }

    let device = provider.device().inner();
    let mut out: Vec<(String, CudaBuffer)> = Vec::new();

    let block_size = 256u32;

    for table in prob_tables {
        if table.buffer.is_empty() {
            continue;
        }
        let n_u64 = table.buffer.num_rows();
        let n: u32 = n_u64.try_into().map_err(|_| {
            XlogError::Execution(format!(
                "Prob table {} rows {} exceed u32",
                table.predicate, n_u64
            ))
        })?;

        let mut d_mask = provider.memory().alloc::<u8>(n as usize)?;
        let num_blocks = (n + block_size - 1) / block_size;
        let config = LaunchConfig {
            grid_dim: (num_blocks, 1, 1),
            block_dim: (block_size, 1, 1),
            shared_mem_bytes: 0,
        };

        let kernel = device
            .get_func(MC_EVAL_MODULE, mc_eval_kernels::MC_EVAL_MASK_VAR)
            .ok_or_else(|| XlogError::Kernel("mc_eval_mask_var kernel not found".to_string()))?;

        // SAFETY: mc_eval_mask_var(sample_bits, var_idx, n, out_mask)
        unsafe {
            kernel
                .clone()
                .launch(config, (sample_bits, &table.var_idx, n, &mut d_mask))
        }
        .map_err(|e| XlogError::Kernel(format!("mc_eval_mask_var failed: {}", e)))?;

        let filtered = provider.compact_buffer_by_device_mask_counted(&table.buffer, &d_mask)?;
        let deduped = dedup_relation(provider, &filtered)?;
        out.push((table.predicate.clone(), deduped));
    }

    for table in ad_tables {
        if table.buffer.is_empty() {
            continue;
        }
        let n_u64 = table.buffer.num_rows();
        let n: u32 = n_u64.try_into().map_err(|_| {
            XlogError::Execution(format!(
                "AD table {} rows {} exceed u32",
                table.predicate, n_u64
            ))
        })?;

        let mut d_mask = provider.memory().alloc::<u8>(n as usize)?;
        let num_blocks = (n + block_size - 1) / block_size;
        let config = LaunchConfig {
            grid_dim: (num_blocks, 1, 1),
            block_dim: (block_size, 1, 1),
            shared_mem_bytes: 0,
        };

        let kernel = device
            .get_func(MC_EVAL_MODULE, mc_eval_kernels::MC_EVAL_MASK_AD)
            .ok_or_else(|| {
                XlogError::Kernel("mc_eval_mask_ad_choice kernel not found".to_string())
            })?;

        // SAFETY: mc_eval_mask_ad_choice(sample_bits, decision_vars, offsets, lengths, positions, n, out_mask)
        unsafe {
            kernel.clone().launch(
                config,
                (
                    sample_bits,
                    &ad_decisions.decision_vars,
                    &table.decision_offsets,
                    &table.decision_lengths,
                    &table.choice_positions,
                    n,
                    &mut d_mask,
                ),
            )
        }
        .map_err(|e| XlogError::Kernel(format!("mc_eval_mask_ad_choice failed: {}", e)))?;

        let filtered = provider.compact_buffer_by_device_mask_counted(&table.buffer, &d_mask)?;
        let deduped = dedup_relation(provider, &filtered)?;
        out.push((table.predicate.clone(), deduped));
    }

    Ok(out)
}

pub(super) fn build_buffer_from_rows(
    provider: &Arc<CudaKernelProvider>,
    schema: &Schema,
    rows: &[Vec<Value>],
) -> Result<CudaBuffer> {
    if schema.arity() == 0 {
        for row in rows {
            if !row.is_empty() {
                return Err(XlogError::Execution(
                    "Zero-arity buffer row should be empty".to_string(),
                ));
            }
        }
        if rows.is_empty() {
            return provider.create_empty_buffer(schema.clone());
        }
        let row_count = u32::try_from(rows.len()).map_err(|_| {
            XlogError::Execution(format!(
                "Row count {} exceeds u32::MAX for zero-arity buffer",
                rows.len()
            ))
        })?;
        return build_zero_arity_buffer(provider, row_count, schema);
    }

    if rows.is_empty() {
        return provider.create_empty_buffer(schema.clone());
    }

    let mut columns: Vec<Vec<u8>> = Vec::with_capacity(schema.arity());
    for col_idx in 0..schema.arity() {
        let col_size = schema
            .column_type(col_idx)
            .map(|t| t.size_bytes())
            .unwrap_or(4);
        columns.push(Vec::with_capacity(rows.len() * col_size));
    }

    for row in rows {
        if row.len() != schema.arity() {
            return Err(XlogError::Execution(format!(
                "Row arity {} does not match schema arity {}",
                row.len(),
                schema.arity()
            )));
        }
        for (idx, value) in row.iter().enumerate() {
            let col_type = schema
                .column_type(idx)
                .ok_or_else(|| XlogError::Execution(format!("Missing column type for {}", idx)))?;
            push_value_bytes(&mut columns[idx], col_type, value)?;
        }
    }

    let slices: Vec<&[u8]> = columns.iter().map(|c| c.as_slice()).collect();
    provider.create_buffer_from_slices(&slices, schema.clone())
}

pub(super) fn augment_schemas_for_program(
    program: &Program,
    schemas: &mut HashMap<String, Schema>,
) {
    for fact in program.facts() {
        ensure_schema_for_atom(&fact.head, schemas);
    }

    for rule in &program.rules {
        for lit in &rule.body {
            match lit {
                BodyLiteral::Positive(atom) | BodyLiteral::Negated(atom) => {
                    ensure_schema_for_atom(atom, schemas);
                }
                BodyLiteral::Comparison(_) | BodyLiteral::IsExpr(_) => {}
            }
        }
    }

    for pf in &program.prob_facts {
        ensure_schema_for_atom(&pf.atom, schemas);
    }

    for ad in &program.annotated_disjunctions {
        for choice in &ad.choices {
            ensure_schema_for_atom(&choice.atom, schemas);
        }
    }

    for ProbQuery { atom } in &program.prob_queries {
        ensure_schema_for_atom(atom, schemas);
    }

    for Evidence { atom, .. } in &program.evidence {
        ensure_schema_for_atom(atom, schemas);
    }
}

pub(super) fn ensure_predicate_decls(program: &mut Program) -> Result<()> {
    let mut declared: HashMap<String, Vec<ScalarType>> = HashMap::new();
    for pred in &program.predicates {
        declared.insert(pred.name.clone(), pred.types.clone());
    }

    let mut inferred: HashMap<String, Vec<ScalarType>> = HashMap::new();

    let mut record_atom = |atom: &Atom| {
        let types: Vec<ScalarType> = atom.terms.iter().map(infer_term_scalar_type).collect();
        match inferred.get(&atom.predicate) {
            Some(existing) if *existing != types => Err(XlogError::Compilation(format!(
                "Inconsistent predicate types for {}",
                atom.predicate
            ))),
            Some(_) => Ok(()),
            None => {
                inferred.insert(atom.predicate.clone(), types);
                Ok(())
            }
        }
    };

    for fact in program.facts() {
        record_atom(&fact.head)?;
    }

    for rule in &program.rules {
        record_atom(&rule.head)?;
        for lit in &rule.body {
            match lit {
                BodyLiteral::Positive(atom) | BodyLiteral::Negated(atom) => {
                    record_atom(atom)?;
                }
                BodyLiteral::Comparison(_) | BodyLiteral::IsExpr(_) => {}
            }
        }
    }

    for pf in &program.prob_facts {
        record_atom(&pf.atom)?;
    }

    for ad in &program.annotated_disjunctions {
        for choice in &ad.choices {
            record_atom(&choice.atom)?;
        }
    }

    for ProbQuery { atom } in &program.prob_queries {
        record_atom(atom)?;
    }
    for Evidence { atom, .. } in &program.evidence {
        record_atom(atom)?;
    }

    for (pred, types) in inferred {
        if let Some(existing) = declared.get(&pred) {
            if existing != &types {
                return Err(XlogError::Compilation(format!(
                    "Predicate {} declared with {:?} but inferred {:?}",
                    pred, existing, types
                )));
            }
            continue;
        }
        program.predicates.push(PredDecl {
            name: pred,
            types,
            is_private: false,
        });
    }

    Ok(())
}

fn ensure_schema_for_atom(atom: &Atom, schemas: &mut HashMap<String, Schema>) {
    if schemas.contains_key(&atom.predicate) {
        return;
    }

    let columns: Vec<(String, ScalarType)> = atom
        .terms
        .iter()
        .enumerate()
        .map(|(i, term)| (format!("c{}", i), infer_term_scalar_type(term)))
        .collect();
    schemas.insert(atom.predicate.clone(), Schema::new(columns));
}

fn infer_term_scalar_type(term: &Term) -> ScalarType {
    match term {
        Term::Variable(_) | Term::Anonymous => ScalarType::U64,
        Term::Integer(i) => {
            if *i >= 0 && *i <= u32::MAX as i64 {
                ScalarType::U32
            } else {
                ScalarType::I64
            }
        }
        Term::Float(_) => ScalarType::F64,
        Term::String(_) | Term::Symbol(_) => ScalarType::Symbol,
        Term::Aggregate(agg) => match agg.op {
            AggOp::Count => ScalarType::U32,
            AggOp::Sum => ScalarType::U64,
            AggOp::Min | AggOp::Max => ScalarType::U32,
            AggOp::LogSumExp => ScalarType::F64,
        },
    }
}

fn infer_schema_from_values(rows: &[Vec<Value>]) -> Result<Schema> {
    if rows.is_empty() {
        return Err(XlogError::Execution(
            "Cannot infer schema from empty rows".to_string(),
        ));
    }
    let arity = rows[0].len();
    let mut types: Vec<Option<ScalarType>> = vec![None; arity];

    for row in rows {
        if row.len() != arity {
            return Err(XlogError::Execution(format!(
                "Row arity {} does not match inferred arity {}",
                row.len(),
                arity
            )));
        }
        for (idx, value) in row.iter().enumerate() {
            let ty = scalar_type_from_value(value);
            match types[idx] {
                Some(existing) if existing != ty => {
                    return Err(XlogError::Execution(format!(
                        "Inconsistent types for column {}: {:?} vs {:?}",
                        idx, existing, ty
                    )))
                }
                None => types[idx] = Some(ty),
                _ => {}
            }
        }
    }

    let columns: Vec<(String, ScalarType)> = types
        .into_iter()
        .enumerate()
        .map(|(i, ty)| (format!("c{}", i), ty.unwrap_or(ScalarType::U64)))
        .collect();
    Ok(Schema::new(columns))
}

fn scalar_type_from_value(value: &Value) -> ScalarType {
    match value {
        Value::I64(v) => {
            if *v >= 0 && *v <= u32::MAX as i64 {
                ScalarType::U32
            } else {
                ScalarType::I64
            }
        }
        Value::F64(_) => ScalarType::F64,
        Value::Symbol(_) | Value::String(_) => ScalarType::Symbol,
    }
}

pub(super) fn extend_prob_facts_with_coin(
    program: &Program,
    prob_facts: &mut Vec<ProbFact>,
) -> Result<()> {
    let mut seen: HashSet<GroundAtom> = HashSet::new();
    for pf in prob_facts.iter() {
        seen.insert(atom_key_from_ground_atom(&pf.atom)?);
    }

    for rule in &program.rules {
        for lit in &rule.body {
            let BodyLiteral::Positive(atom) = lit else {
                continue;
            };
            if atom.predicate != "coin" || atom.terms.len() != 1 {
                continue;
            }
            let Term::Float(prob) = atom.terms[0] else {
                continue;
            };
            let key = atom_key_from_ground_atom(atom)?;
            if seen.insert(key) {
                prob_facts.push(ProbFact {
                    prob,
                    atom: atom.clone(),
                });
            }
        }
    }

    Ok(())
}

fn push_value_bytes(out: &mut Vec<u8>, col_type: ScalarType, value: &Value) -> Result<()> {
    match col_type {
        ScalarType::U32 => match value {
            Value::I64(v) => {
                let v_u32 = u32::try_from(*v).map_err(|_| {
                    XlogError::Execution(format!("Value {} out of range for u32", v))
                })?;
                out.extend_from_slice(&v_u32.to_le_bytes());
            }
            Value::Symbol(v) => {
                out.extend_from_slice(&v.to_le_bytes());
            }
            _ => {
                return Err(XlogError::Execution(
                    "Expected integer-compatible value for u32".to_string(),
                ))
            }
        },
        ScalarType::U64 => match value {
            Value::I64(v) => {
                let v_u64 = u64::try_from(*v).map_err(|_| {
                    XlogError::Execution(format!("Value {} out of range for u64", v))
                })?;
                out.extend_from_slice(&v_u64.to_le_bytes());
            }
            _ => {
                return Err(XlogError::Execution(
                    "Expected integer-compatible value for u64".to_string(),
                ))
            }
        },
        ScalarType::I32 => match value {
            Value::I64(v) => {
                let v_i32 = i32::try_from(*v).map_err(|_| {
                    XlogError::Execution(format!("Value {} out of range for i32", v))
                })?;
                out.extend_from_slice(&v_i32.to_le_bytes());
            }
            _ => {
                return Err(XlogError::Execution(
                    "Expected integer-compatible value for i32".to_string(),
                ))
            }
        },
        ScalarType::I64 => match value {
            Value::I64(v) => {
                out.extend_from_slice(&v.to_le_bytes());
            }
            _ => {
                return Err(XlogError::Execution(
                    "Expected integer-compatible value for i64".to_string(),
                ))
            }
        },
        ScalarType::F32 => match value {
            Value::F64(bits) => {
                let v = f64::from_bits(*bits) as f32;
                out.extend_from_slice(&v.to_le_bytes());
            }
            Value::I64(v) => {
                let v = *v as f32;
                out.extend_from_slice(&v.to_le_bytes());
            }
            _ => {
                return Err(XlogError::Execution(
                    "Expected numeric value for f32".to_string(),
                ))
            }
        },
        ScalarType::F64 => match value {
            Value::F64(bits) => {
                let v = f64::from_bits(*bits);
                out.extend_from_slice(&v.to_le_bytes());
            }
            Value::I64(v) => {
                let v = *v as f64;
                out.extend_from_slice(&v.to_le_bytes());
            }
            _ => {
                return Err(XlogError::Execution(
                    "Expected numeric value for f64".to_string(),
                ))
            }
        },
        ScalarType::Bool => match value {
            Value::I64(v) => {
                let b = match *v {
                    0 => 0u8,
                    1 => 1u8,
                    _ => {
                        return Err(XlogError::Execution(
                            "Boolean value must be 0 or 1".to_string(),
                        ))
                    }
                };
                out.push(b);
            }
            _ => {
                return Err(XlogError::Execution(
                    "Expected integer-compatible value for bool".to_string(),
                ))
            }
        },
        ScalarType::Symbol => match value {
            Value::Symbol(v) => {
                out.extend_from_slice(&v.to_le_bytes());
            }
            Value::String(s) => {
                let id = xlog_core::symbol::intern(s);
                out.extend_from_slice(&id.to_le_bytes());
            }
            _ => {
                return Err(XlogError::Execution(
                    "Expected symbol/string value for symbol column".to_string(),
                ))
            }
        },
    }
    Ok(())
}

pub(super) fn compile_sampling_plan(
    prob_facts: &[ProbFact],
    annotated_disjunctions: &[xlog_logic::ast::AnnotatedDisjunction],
) -> Result<(Vec<f32>, Vec<ProbFactSpec>, Vec<AdSpec>)> {
    let mut probs: Vec<f32> = Vec::new();
    let mut fact_specs: Vec<ProbFactSpec> = Vec::new();
    let mut ad_specs: Vec<AdSpec> = Vec::new();

    for pf in prob_facts {
        validate_prob(pf.prob, "probabilistic fact")?;
        let atom = atom_key_from_ground_atom(&pf.atom)?;
        let var_idx = probs.len();
        probs.push(pf.prob as f32);
        fact_specs.push(ProbFactSpec { var_idx, atom });
    }

    for ad in annotated_disjunctions {
        if ad.choices.is_empty() {
            return Err(XlogError::Compilation(
                "Annotated disjunction must contain at least one choice".to_string(),
            ));
        }

        let mut choice_atoms: Vec<GroundAtom> = Vec::with_capacity(ad.choices.len());
        let mut choice_probs: Vec<f64> = Vec::with_capacity(ad.choices.len());
        for pf in &ad.choices {
            validate_prob(pf.prob, "annotated disjunction choice")?;
            choice_atoms.push(atom_key_from_ground_atom(&pf.atom)?);
            choice_probs.push(pf.prob);
        }

        let sum: f64 = choice_probs.iter().copied().sum();
        let eps = 1e-12;
        if sum > 1.0 + eps {
            return Err(XlogError::Compilation(format!(
                "Annotated disjunction probabilities sum to {} (> 1.0)",
                sum
            )));
        }

        let has_none = (1.0 - sum) > eps;
        let mut probs_full: Vec<f64> = choice_probs.clone();
        if has_none {
            probs_full.push((1.0 - sum).max(0.0));
        }

        // Encode categorical choice as a chain of Bernoulli decisions (same as provenance lowering).
        let m = probs_full.len();
        let mut decision_vars: Vec<usize> = Vec::new();
        if m > 1 {
            let mut remaining = 1.0f64;
            for i in 0..(m - 1) {
                let p_i = probs_full[i];
                let cond_true = if remaining <= 0.0 {
                    0.0
                } else {
                    p_i / remaining
                };
                validate_prob(cond_true, "annotated disjunction conditional")?;
                probs.push(cond_true as f32);
                decision_vars.push(probs.len() - 1);
                remaining -= p_i;
            }
        }

        ad_specs.push(AdSpec {
            decision_vars,
            choices: choice_atoms,
            has_none,
        });
    }

    Ok((probs, fact_specs, ad_specs))
}