""" Program Space: the set of valid implementations for a stub. A ProgramSpace is a collection of Program instances that all satisfy the stub's constraints. It supports: - Adding/removing programs - Filtering by execution correctness - Computing diversity metrics (DA@K from AlgoDiv, 2503.00691) - Clustering by behavioral equivalence """ from __future__ import annotations import ast import hashlib import traceback import sys import io from math import comb, log, exp from dataclasses import dataclass, field from typing import Any, Optional, Callable from collections import defaultdict from reason_first_program.stub import Stub @dataclass class ExecutionTrace: """Execution trace for a single program on a single input.""" input_args: dict[str, Any] output: Any = None stdout: str = "" stderr: str = "" exception: Optional[str] = None execution_time_ms: float = 0.0 # Behavioral fingerprint components branch_coverage: Optional[list[bool]] = None variable_snapshots: Optional[dict[str, list[Any]]] = None @property def succeeded(self) -> bool: return self.exception is None @property def output_hash(self) -> str: """Hash of the output for functional equivalence checking.""" return hashlib.md5(repr(self.output).encode()).hexdigest() @dataclass class Program: """ A single implementation in the program space. Attributes: source: The implementation source code (function body only) full_source: The complete function including signature stub_id: ID of the stub this implements model_id: Which model generated this (for diversity tracking) traces: Execution traces from running against test inputs metadata: Arbitrary metadata (temperature, prompt style, etc.) """ source: str full_source: str stub_id: str model_id: str = "unknown" traces: list[ExecutionTrace] = field(default_factory=list) metadata: dict[str, Any] = field(default_factory=dict) concept_scores: dict[str, float] = field(default_factory=dict) @property def program_id(self) -> str: """Unique identifier based on source content.""" return hashlib.sha256(self.source.encode()).hexdigest()[:16] @property def is_valid(self) -> bool: """Whether all execution traces succeeded.""" return len(self.traces) > 0 and all(t.succeeded for t in self.traces) @property def functional_signature(self) -> str: """ A string that identifies the program's functional behavior. Two programs with the same functional signature produce identical outputs on all test inputs (functional equivalence, per 2302.05433). """ if not self.traces: return "untested" return "|".join(t.output_hash for t in self.traces if t.succeeded) @property def syntactic_hash(self) -> str: """Normalized AST hash for syntactic deduplication.""" try: tree = ast.parse(self.source) return hashlib.md5(ast.dump(tree).encode()).hexdigest()[:12] except SyntaxError: return hashlib.md5(self.source.encode()).hexdigest()[:12] def behavioral_vector(self) -> list[float]: """ Extract a behavioral feature vector from execution traces. Based on TRACED (2306.07487): quantized variable values + branch coverage. """ features = [] for trace in self.traces: if trace.succeeded: # Output type encoding output_type = type(trace.output).__name__ type_map = { "int": 0, "float": 1, "str": 2, "list": 3, "dict": 4, "tuple": 5, "set": 6, "bool": 7, "NoneType": 8 } features.append(type_map.get(output_type, 9)) # Output magnitude (quantized) try: if isinstance(trace.output, (int, float)): features.append(float(trace.output)) elif isinstance(trace.output, (list, tuple, set, dict)): features.append(float(len(trace.output))) else: features.append(0.0) except (TypeError, ValueError): features.append(0.0) # Execution time quantile features.append(trace.execution_time_ms) return features def execute_program( program: Program, stub: Stub, test_inputs: list[dict[str, Any]], timeout_seconds: float = 5.0, ) -> Program: """ Execute a program against test inputs and record traces. Args: program: The program to execute stub: The stub definition (for function name, signature) test_inputs: List of input dicts timeout_seconds: Max execution time per input Returns: The program with traces populated """ import time program.traces = [] for inputs in test_inputs: trace = ExecutionTrace(input_args=inputs) try: # Build execution namespace with the program namespace: dict[str, Any] = {} # Include imports from the stub's module context if stub.module_source: try: exec( "\n".join( line for line in stub.module_source.split("\n") if line.strip().startswith(("import ", "from ")) ), namespace, ) except Exception: pass # Execute the full function definition exec(program.full_source, namespace) # Call the function func = namespace[stub.name] start = time.perf_counter() result = func(**inputs) elapsed = (time.perf_counter() - start) * 1000 trace.output = result trace.execution_time_ms = elapsed except Exception as e: trace.exception = f"{type(e).__name__}: {e}" trace.stderr = traceback.format_exc() program.traces.append(trace) return program class ProgramSpace: """ The set of valid implementations for a stub. This is the central data structure of the framework. It holds all sampled programs, supports filtering, clustering, and diversity measurement. """ def __init__(self, stub: Stub): self.stub = stub self._programs: dict[str, Program] = {} # program_id -> Program self._clusters: Optional[list[list[str]]] = None # Cached clustering self._cluster_labels: Optional[dict[str, str]] = None @property def programs(self) -> list[Program]: return list(self._programs.values()) @property def valid_programs(self) -> list[Program]: return [p for p in self._programs.values() if p.is_valid] def __len__(self) -> int: return len(self._programs) def add(self, program: Program) -> str: """Add a program to the space. Returns program_id.""" self._programs[program.program_id] = program self._clusters = None # Invalidate cache return program.program_id def add_many(self, programs: list[Program]) -> list[str]: """Add multiple programs. Returns list of program_ids.""" return [self.add(p) for p in programs] def get(self, program_id: str) -> Optional[Program]: return self._programs.get(program_id) def remove(self, program_id: str) -> None: self._programs.pop(program_id, None) self._clusters = None def filter_valid(self) -> ProgramSpace: """Return a new ProgramSpace containing only valid programs.""" new_space = ProgramSpace(self.stub) for p in self.valid_programs: new_space.add(p) return new_space def deduplicate_syntactic(self) -> ProgramSpace: """Remove syntactically identical programs (normalized AST).""" seen: set[str] = set() new_space = ProgramSpace(self.stub) for p in self.programs: h = p.syntactic_hash if h not in seen: seen.add(h) new_space.add(p) return new_space def deduplicate_functional(self) -> ProgramSpace: """Remove functionally equivalent programs (same outputs on all inputs).""" seen: set[str] = set() new_space = ProgramSpace(self.stub) for p in self.programs: sig = p.functional_signature if sig not in seen: seen.add(sig) new_space.add(p) return new_space # ---- Diversity Metrics (from AlgoDiv, 2503.00691) ---- def functional_clusters(self) -> list[list[Program]]: """ Cluster programs by functional equivalence. Programs with identical output signatures go in the same cluster. """ clusters: dict[str, list[Program]] = defaultdict(list) for p in self.valid_programs: clusters[p.functional_signature].append(p) return list(clusters.values()) def da_at_k(self, k: int) -> float: """ DA@K: Expected number of distinct algorithms in K samples. From Definition 3.1 of AlgoDiv (2503.00691): DA@K = Σ_m (1 - C(N - s_m, K) / C(N, K)) where M = number of clusters, s_m = size of cluster m, N = total programs. """ clusters = self.functional_clusters() n = len(self.valid_programs) if n == 0 or k == 0 or k > n: return 0.0 da = 0.0 for cluster in clusters: s_m = len(cluster) # Probability that cluster m is represented in a sample of size K if n - s_m >= k: prob_missing = comb(n - s_m, k) / comb(n, k) else: prob_missing = 0.0 da += (1 - prob_missing) return da def entropy_diversity(self) -> float: """ EA: Entropy-based algorithmic diversity index. EA = exp(-Σ p_m log p_m) where p_m = s_m / N """ clusters = self.functional_clusters() n = len(self.valid_programs) if n == 0: return 0.0 entropy = 0.0 for cluster in clusters: p = len(cluster) / n if p > 0: entropy -= p * log(p) return exp(entropy) def diversity_report(self) -> dict[str, Any]: """Comprehensive diversity report for the program space.""" clusters = self.functional_clusters() n_valid = len(self.valid_programs) n_total = len(self._programs) return { "total_programs": n_total, "valid_programs": n_valid, "syntactically_unique": len( set(p.syntactic_hash for p in self.programs) ), "functionally_unique_clusters": len(clusters), "cluster_sizes": sorted( [len(c) for c in clusters], reverse=True ), "da_at_5": self.da_at_k(5) if n_valid >= 5 else None, "da_at_10": self.da_at_k(10) if n_valid >= 10 else None, "entropy_diversity": self.entropy_diversity(), "models_used": list( set(p.model_id for p in self.programs) ), } def to_dict(self) -> dict[str, Any]: """Serialize the program space for storage.""" return { "stub_id": self.stub.stub_id, "stub_name": self.stub.name, "programs": [ { "program_id": p.program_id, "source": p.source, "full_source": p.full_source, "model_id": p.model_id, "is_valid": p.is_valid, "functional_signature": p.functional_signature, "concept_scores": p.concept_scores, "metadata": p.metadata, } for p in self.programs ], "diversity": self.diversity_report(), }