Files
MeanField/experiments/check_preconditioner_benchmark.py

372 lines
23 KiB
Python

#!/usr/bin/env python3
"""Audit frozen preconditioner artifacts and compare equal-accuracy solve costs.
A completed experiment is valid even when neither inverse reaches the requested
linear tolerance. Those observations must survive the audit, without acquiring
an invented time-to-convergence speedup.
"""
import argparse
import csv
import hashlib
import json
import math
from pathlib import Path
REQUIRED_ARTIFACTS = {
'metadata.txt', 'layout.csv', 'preconditioner_summary.csv', 'preconditioner_actions.csv',
'preconditioner_blocks.csv', 'preconditioner_correction_blocks.csv', 'preconditioner_history.csv',
'preconditioner_invariants.csv', 'preconditioner_reference.csv', 'preconditioner_scope.txt',
'benchmark_physical_base.txt', 'benchmark_normalized_base.txt', 'benchmark_normalized_rhs.txt',
'benchmark_state_factors.txt', 'benchmark_residual_factors.txt',
'benchmark_invariant_direction.txt', 'benchmark_invariant_action.txt',
'context_reference_normalized_correction.txt',
} | {role + suffix for role in ('baseline', 'candidate') for suffix in (
'_normalized_correction.txt', '_physical_correction.txt',
'_normalized_linear_defect.txt', '_physical_linear_defect.txt')}
COARSE_VARIANTS = {'coupled-shape-coarse', 'gravity-schur-coarse'}
def digest(path):
return hashlib.sha256(path.read_bytes()).hexdigest()
def hash_matches(path, expected):
return path.is_file() and digest(path) == expected
def rows(path):
with path.open() as stream:
return list(csv.DictReader(stream))
def vector(path):
values = path.read_text().split()
if not values:
raise ValueError(f'Empty vector: {path}')
count = int(values[0])
result = [float(v) for v in values[1:]]
if count <= 0 or count != len(result) or not all(math.isfinite(v) for v in result):
raise ValueError(f'Invalid finite vector: {path}')
return result
def norm(values):
return math.sqrt(math.fsum(v * v for v in values))
def close(left, right):
return math.isfinite(left) and math.isfinite(right) and math.isclose(left, right, rel_tol=2e-12, abs_tol=1e-28)
def ratio(numerator, denominator):
# Exact residual zero is a valid outcome. Do not invent a finite ratio or
# serialize infinity when the comparison denominator is exactly zero.
return numerator / denominator if denominator > 0 else None
def invalidate_comparison(result):
comparison = result['comparison']
comparison['comparison_valid'] = False
comparison['outcome'] = 'invalid_artifacts'
for key in ('candidate_over_baseline_defect', 'candidate_over_baseline_measured_cost',
'equal_gate_speedup', 'effective_base_equal_gate_speedup'):
comparison[key] = None
def invalid_case(error):
result = {'passed': False, 'checks': [{'check': 'readable_complete_artifacts', 'passed': False,
'error': str(error)}], 'comparison': {}}
invalidate_comparison(result)
return result
def inspect_case(folder):
try:
return inspect_case_artifacts(folder)
except (OSError, ValueError, KeyError, TypeError, OverflowError, ZeroDivisionError) as error:
return invalid_case(error)
def inspect_coarse(folder, by_role, check):
coarse_roles = {role for role, row in by_role.items() if row['variant'] in COARSE_VARIANTS}
if not coarse_roles:
return {}
records = rows(folder / 'preconditioner_coarse.csv')
check('coarse_only_requested_roles', {r['role'] for r in records} == coarse_roles)
report = {}
stage_names = ('constructed', 'before_krylov', 'after_krylov')
stable_names = {
'input_modes', 'independent_modes', 'active_modes', 'fallback',
'minimum_overlap_lower_bound', 'reciprocal_overlap_condition',
'setup_jacobian_applications', 'setup_inverse_applications', 'setup_seconds',
'persistent_vector_bytes',
}
counter_names = {'applications', 'inverse_applications', 'failed_applications'}
construction_names = {'physical_inverse_construction_seconds', 'basis_construction_seconds',
'complete_coarse_construction_seconds'}
fallback_names = {0: 'none', 1: 'no_independent_modes', 2: 'insufficient_subspace_overlap'}
for role in coarse_roles:
row = by_role[role]
prefix = role + '_coarse_'
selected = [r for r in records if r['role'] == role]
check(prefix + 'variant_matches', all(r['variant'] == row['variant'] for r in selected))
check(prefix + 'unique_metrics', len(selected) == len({(r['stage'], r['metric']) for r in selected}))
stages = {name: {r['metric']: r['value'] for r in selected if r['stage'] == name}
for name in (*stage_names, 'validation')}
check(prefix + 'known_stages', {r['stage'] for r in selected} == set(stages))
for stage in stage_names:
check(prefix + stage + '_complete', stable_names | counter_names <= stages[stage].keys())
constructed = stages['constructed']
check(prefix + 'construction_components_recorded', construction_names <= constructed.keys())
counts = {name: int(constructed[name]) for name in (
'input_modes', 'independent_modes', 'active_modes', 'fallback',
'setup_jacobian_applications', 'setup_inverse_applications', 'persistent_vector_bytes')}
input_modes, independent, active, fallback = (counts[name] for name in
('input_modes', 'independent_modes', 'active_modes', 'fallback'))
check(prefix + 'consistent_mode_counts', 0 <= active <= independent <= input_modes)
check(prefix + 'consistent_fallback',
(fallback == 0 and active == independent and active > 0) or
(fallback == 1 and independent == active == 0) or
(fallback == 2 and independent > 0 and active == 0))
setup_inverse, setup_jacobian = (counts[name] for name in
('setup_inverse_applications', 'setup_jacobian_applications'))
check(prefix + 'consistent_setup_work', independent <= setup_inverse <= input_modes and
2 * setup_inverse <= setup_jacobian <= input_modes + setup_inverse and
counts['persistent_vector_bytes'] > 0)
for stage in stage_names:
# NaN overlap estimates are expected when rank rejection prevents
# forming a coarse system. Preserve their strings in the report.
check(prefix + stage + '_unchanged_preparation', all(
float(stages[stage][name]) == float(constructed[name]) or
(math.isnan(float(stages[stage][name])) and math.isnan(float(constructed[name])))
for name in stable_names))
calls = int(stages[stage]['applications'])
inverse_calls = int(stages[stage]['inverse_applications'])
check(prefix + stage + '_successful_applications', calls >= 0 and inverse_calls == calls and
int(stages[stage]['failed_applications']) == 0)
check(prefix + 'constructed_without_applications', int(constructed['applications']) == 0)
check(prefix + 'all_active_modes_checked', int(stages['before_krylov']['applications']) == active + 1)
check(prefix + 'solve_work_matches', int(stages['after_krylov']['applications']) -
int(stages['before_krylov']['applications']) == int(row['preconditioner_applications']))
if fallback == 0:
check(prefix + 'usable_overlap', all(math.isfinite(float(constructed[name])) and
float(constructed[name]) > 0 for name in
('minimum_overlap_lower_bound', 'reciprocal_overlap_condition')) and
float(constructed['minimum_overlap_lower_bound']) >= 1e-8)
elif fallback == 2:
overlap = float(constructed['minimum_overlap_lower_bound'])
check(prefix + 'overlap_fallback_reason', not math.isfinite(overlap) or overlap < 1e-8)
times = {name: float(constructed[name]) for name in construction_names | {'setup_seconds'}}
check(prefix + 'finite_nonnegative_construction_times', all(math.isfinite(v) and v >= 0 for v in times.values()))
check(prefix + 'complete_coarse_construction_cost', times['complete_coarse_construction_seconds'] + 1e-8 >=
times['basis_construction_seconds'] + times['setup_seconds'])
check(prefix + 'physical_and_coarse_cost_included', close(float(row['construction_seconds']),
times['physical_inverse_construction_seconds'] + times['complete_coarse_construction_seconds']))
error = float(stages['validation']['maximum_exact_coarse_relative_error'])
check(prefix + 'exact_subspace_error_within_tolerance', math.isfinite(error) and 0 <= error <= 1e-8)
check(prefix + 'empty_validation_is_vacuous', active > 0 or error == 0)
# An empty validation loop reports zero by construction. It proves no
# coarse identity and cannot substantiate a coarse-method speedup.
refined_base = row['variant'] == 'gravity-schur-coarse' and int(row['schur_correction_sweeps']) > 0
effective_base = 'gravity-schur' if refined_base else 'independent'
report[role] = {
'active': active > 0, 'input_modes': input_modes, 'independent_modes': independent,
'active_modes': active, 'fallback_code': fallback,
'fallback': fallback_names.get(fallback, 'invalid'),
'exact_subspace_validation': ('verified' if math.isfinite(error) and 0 <= error <= 1e-8
else 'failed') if active > 0 else 'not_applicable_empty_subspace',
'maximum_exact_coarse_relative_error': stages['validation']['maximum_exact_coarse_relative_error'],
'effective_base_variant': effective_base,
'effective_method': row['variant'] if active > 0 else effective_base,
'method_status': 'active_coarse' if active > 0 else
'baseline_fallback' if effective_base == 'independent' else 'gravity_schur_fallback',
'recorded_stages': stages,
'timing_scope': 'Construction includes physical inverse, basis, and coarse setup. '
'Extra exact-subspace checks are diagnostics outside solve totals.',
}
return report
def inspect_case_artifacts(folder):
checks = []
def check(name, result):
checks.append({'check': name, 'passed': bool(result)})
summary = rows(folder / 'preconditioner_summary.csv')
check('exactly_one_baseline_and_candidate', len(summary) == 2 and {r['role'] for r in summary} == {'baseline', 'candidate'})
by_role = {r['role']: r for r in summary}
rhs = vector(folder / 'benchmark_normalized_rhs.txt')
rhs_norm = norm(rhs)
check('finite_nonzero_rhs', math.isfinite(rhs_norm) and rhs_norm > 0)
layout = rows(folder / 'layout.csv')
residual_blocks = [r for r in layout if r['kind'] == 'residual']
covered = []
for row in residual_blocks:
covered.extend(range(int(row['offset']), int(row['offset']) + int(row['size'])))
check('residual_layout_covers_vector_once', covered == list(range(len(rhs))))
invariants = rows(folder / 'preconditioner_invariants.csv')
required = {'accepted_physical_bitwise_identical', 'accepted_normalized_bitwise_identical',
'accepted_residual_bitwise_identical', 'correction_bitwise_identical',
'trial_state_bitwise_identical', 'trial_residual_bitwise_identical',
'candidate_physical_bitwise_identical', 'state_factors_bitwise_identical',
'residual_factors_bitwise_identical', 'preparation_generation_unchanged',
'normalized_operator_current', 'jacobian_action_bitwise_identical'}
for role in ('context_reference', 'baseline', 'candidate'):
role_rows = [r for r in invariants if r['role'] == role]
metrics = {r['metric']: float(r['value']) for r in role_rows}
check(role + '_unique_invariants', len(role_rows) == len(metrics))
check(role + '_all_invariants_recorded', required <= metrics.keys())
check(role + '_all_invariants_pass', all(metrics.get(name) == 1.0 for name in required))
check(role + '_exact_jacobian_unchanged', metrics.get('jacobian_action_difference_norm') == 0.0)
action_rows = rows(folder / 'preconditioner_actions.csv')
check('action_checks_present', len(action_rows) == 2 and
{row['role'] for row in action_rows} == {'baseline', 'candidate'})
for row in action_rows:
measured = by_role[row['role']]
expected = measured['variant'] == 'independent' or (
measured['variant'] == 'gravity-schur' and int(measured['schur_correction_sweeps']) == 0)
check(row['role'] + '_action_variant_matches', row['variant'] == by_role[row['role']]['variant'])
check(row['role'] + '_equivalence_requirement_recorded',
row['context_equivalence_required'] == ('1' if expected else '0'))
if expected:
difference = float(row['context_action_relative_difference'])
check(row['role'] + '_fresh_inverse_matches_default',
math.isfinite(difference) and 0 <= difference <= 256 * 2.220446049250313e-16)
check('baseline_is_independent', by_role['baseline']['variant'] == 'independent')
block_rows = rows(folder / 'preconditioner_blocks.csv')
for role, row in by_role.items():
defect = vector(folder / (role + '_normalized_linear_defect.txt'))
solution = vector(folder / (role + '_normalized_correction.txt'))
true_norm = norm(defect)
check(role + '_compatible_vector_sizes', len(defect) == len(rhs) == len(solution))
check(role + '_rhs_norm', close(float(row['rhs_norm']), rhs_norm))
check(role + '_defect_norm', close(float(row['true_residual_norm']), true_norm))
check(role + '_relative_defect', close(float(row['true_relative']), true_norm / rhs_norm))
check(role + '_solution_norm', close(float(row['normalized_correction_norm']), norm(solution)))
target = float(row['relative_tolerance']) * rhs_norm
check(role + '_valid_positive_tolerance', math.isfinite(target) and target > 0)
check(role + '_unchanged_target', close(float(row['absolute_target']), target))
check(role + '_valid_gate_flag', row['true_gate_pass'] in ('0', '1'))
check(role + '_honest_gate', (row['true_gate_pass'] == '1') == (true_norm <= target))
check(role + '_cold_start', close(float(row['reported_initial_norm']), rhs_norm))
check(role + '_iteration_count', int(row['iterations']) == int(row['preconditioner_applications'])
and 0 < int(row['iterations']) <= int(row['maximum_iterations']))
timing_names = ['construction_seconds', 'normalization_binding_seconds', 'krylov_setup_seconds', 'krylov_seconds']
check(role + '_valid_timing', all(math.isfinite(float(row[k])) and float(row[k]) >= 0 for k in timing_names))
check(role + '_complete_setup_solve_cost', close(float(row['setup_plus_solve_seconds']), sum(float(row[k]) for k in timing_names)))
extra_timings = ['true_check_seconds', 'jacobian_seconds', 'preconditioner_seconds']
check(role + '_valid_verification_application_timing',
all(math.isfinite(float(row[k])) and float(row[k]) >= 0 for k in extra_timings))
full_cost = float(row['setup_solve_and_true_check_seconds'])
check(role + '_complete_verified_solve_cost', full_cost > 0 and
close(full_cost, float(row['setup_plus_solve_seconds']) + float(row['true_check_seconds'])))
check(role + '_one_independent_true_check', int(row['true_check_jacobian_applications']) == 1)
check(role + '_nonoverlapping_application_timers',
float(row['jacobian_seconds']) + float(row['preconditioner_seconds']) <= float(row['krylov_seconds']) + 1e-8)
role_blocks = [r for r in block_rows if r['role'] == role]
recorded = {r['block']: r for r in role_blocks}
check(role + '_unique_residual_blocks', len(role_blocks) == len(recorded))
check(role + '_all_residual_blocks_present', set(recorded) == {b['block'] for b in residual_blocks})
for block in residual_blocks:
start, count = int(block['offset']), int(block['size'])
measured = recorded[block['block']]
check(role + '_' + block['block'] + '_defect_norm',
close(float(measured['normalized_defect_norm']), norm(defect[start:start + count])))
check(role + '_' + block['block'] + '_rhs_norm',
close(float(measured['normalized_rhs_norm']), norm(rhs[start:start + count])))
baseline, candidate = by_role['baseline'], by_role['candidate']
coarse = inspect_coarse(folder, by_role, check)
for key in ('restart', 'maximum_iterations', 'relative_tolerance', 'rhs_norm', 'absolute_target'):
check('matched_' + key, baseline[key] == candidate[key])
both_pass = baseline['true_gate_pass'] == candidate['true_gate_pass'] == '1'
outcome = 'both_pass' if both_pass else ('candidate_only_pass' if candidate['true_gate_pass'] == '1'
else 'baseline_only_pass' if baseline['true_gate_pass'] == '1' else 'neither_passes')
comparison = {'outcome': outcome, 'recorded_gate_outcome': outcome, 'comparison_valid': True,
'candidate_over_baseline_defect': ratio(float(candidate['true_relative']), float(baseline['true_relative'])),
'candidate_over_baseline_measured_cost': ratio(float(candidate['setup_solve_and_true_check_seconds']), float(baseline['setup_solve_and_true_check_seconds'])),
'equal_gate_speedup': float(baseline['setup_solve_and_true_check_seconds']) / float(candidate['setup_solve_and_true_check_seconds']) if both_pass else None,
'effective_base_equal_gate_speedup': None,
'baseline': baseline, 'candidate': candidate, 'coarse': coarse}
if 'candidate' in coarse and not coarse['candidate']['active']:
if coarse['candidate']['effective_base_variant'] == 'gravity-schur':
comparison['effective_base_equal_gate_speedup'] = comparison['equal_gate_speedup']
comparison['equal_gate_speedup'] = None
result = {'passed': all(c['passed'] for c in checks), 'checks': checks, 'comparison': comparison}
if not result['passed']:
invalidate_comparison(result)
return result
def inspect_campaign(campaign):
provenance = json.loads((campaign / 'provenance.json').read_text())
checks = [{'check': 'immutable_executable_hash', 'passed': hash_matches(campaign / 'plateau_diagnostic', provenance['binary_sha256'])},
{'check': 'mesh_hash', 'passed': hash_matches(Path(provenance['mesh']), provenance['mesh_sha256'])},
{'check': 'nonempty_unique_cases', 'passed': bool(provenance['cases']) and
len(provenance['cases']) == len({case['id'] for case in provenance['cases']})}]
results = {}
for case in provenance['cases']:
name = case['id']
record = json.loads((campaign / (name + '_run.json')).read_text())
checks.append({'check': name + '_completed', 'passed': bool(record.get('finished_utc')) and
record.get('exit_code') == 0 and not record.get('timed_out', False)})
checks.append({'check': name + '_required_outputs_hashed',
'passed': REQUIRED_ARTIFACTS <= record.get('output_hashes', {}).keys()})
arguments = case.get('arguments', [])
expected_inputs = set()
for index, argument in enumerate(arguments):
if argument in ('--probe-state', '--probe-direction', '--replay-candidate'):
path = Path(arguments[index + 1])
if not path.is_absolute(): path = Path(provenance['source']) / path
expected_inputs.add(str(path.resolve()))
checks.append({'check': name + '_required_inputs_hashed',
'passed': expected_inputs <= record.get('input_state_hashes', {}).keys()})
for path, expected in record.get('input_state_hashes', {}).items():
checks.append({'check': name + '_input_hash_' + path, 'passed': hash_matches(Path(path), expected)})
for path, expected in record.get('output_hashes', {}).items():
checks.append({'check': name + '_output_hash_' + path, 'passed': hash_matches(campaign / name / path, expected)})
results[name] = inspect_case(campaign / name)
candidate = results[name]['comparison'].get('candidate', {})
requested_variant = (arguments[arguments.index('--preconditioner-variant') + 1]
if '--preconditioner-variant' in arguments else 'independent')
if requested_variant in COARSE_VARIANTS or candidate.get('variant') in COARSE_VARIANTS:
checks.append({'check': name + '_coarse_report_hashed',
'passed': 'preconditioner_coarse.csv' in record.get('output_hashes', {})})
if '--preconditioner-variant' in arguments:
expected_variant = arguments[arguments.index('--preconditioner-variant') + 1]
checks.append({'check': name + '_requested_variant', 'passed': candidate.get('variant') == expected_variant})
passed = all(c['passed'] for c in checks) and all(r['passed'] for r in results.values())
if not all(c['passed'] for c in checks):
# A valid-looking CSV cannot substantiate a speedup when its producing
# executable or input/output provenance failed verification.
for result in results.values():
result['passed'] = False
invalidate_comparison(result)
assessment = {'passed': passed, 'source_commit': provenance['commit'], 'provenance_checks': checks, 'cases': results,
'scope': 'Frozen linear-solve comparison only. A failed baseline has no finite equal-gate speedup.'}
return assessment
def main():
parser = argparse.ArgumentParser(description=__doc__)
parser.add_argument('campaign', type=Path)
parser.add_argument('--output', type=Path)
args = parser.parse_args()
campaign = args.campaign.resolve()
assessment = inspect_campaign(campaign)
path = args.output or campaign / 'preconditioner_assessment.json'
path.write_text(json.dumps(assessment, indent=2, allow_nan=False) + '\n')
for name, result in assessment['cases'].items():
c = result['comparison']
print(name, 'PASS' if result['passed'] else 'FAIL', c['outcome'],
'defect_ratio=', c['candidate_over_baseline_defect'], 'equal_gate_speedup=', c['equal_gate_speedup'])
coarse = c.get('coarse', {}).get('candidate')
if coarse:
print(' coarse_status=', coarse['method_status'], 'effective_method=', coarse['effective_method'],
'identity=', coarse['exact_subspace_validation'],
'effective_base_equal_gate_speedup=', c['effective_base_equal_gate_speedup'])
return 0 if assessment['passed'] else 1
if __name__ == '__main__':
raise SystemExit(main())