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17.7 kB
| """Auditable, bounded experiments; all favorable and unfavorable controls saved.""" | |
| from __future__ import annotations | |
| import copy | |
| import hashlib | |
| import json | |
| import math | |
| from pathlib import Path | |
| import platform | |
| import sys | |
| import time | |
| import numpy as np | |
| from synthesis import discover, digest, verify_tensor | |
| from arithmetic import Kernel, NTTKernel, P | |
| from native import build, NativeKernel, NativeNTTKernel | |
| from tasks import reciprocal, exponential, reversion, catalan | |
| from audit import CreditAccount, AnytimeGate, atomic_save | |
| ROOT = Path(__file__).resolve().parents[1] | |
| def arrayhash(x): | |
| return hashlib.sha256(np.asarray(x,dtype='<i8').tobytes()).hexdigest() | |
| def vector(seed,n,constant=1): | |
| r=np.random.default_rng(seed).integers(0,P,n,dtype=np.int64) | |
| r[0]=constant | |
| return r | |
| class Lab: | |
| def __init__(self,root=ROOT,native=True): | |
| self.root=Path(root) | |
| self.config=json.loads((self.root/'experiment_config.json').read_text()) | |
| self.discovery=discover() | |
| self.law=self.discovery['law'] | |
| self.native=build(self.law,self.root/'native_build') if native else {'available':False,'wall_seconds':0} | |
| self.files={} | |
| self.backend='native C++' if self.native['available'] else 'portable NumPy' | |
| def save(self,name,data): | |
| path=self.root/'results'/name | |
| path.parent.mkdir(parents=True,exist_ok=True) | |
| path.write_text(json.dumps(data,indent=2,sort_keys=True)) | |
| def kernel(self,cap=0,ntt=False): | |
| if self.native['available']: | |
| return NativeNTTKernel(self.law,self.native['library']) if ntt else NativeKernel(self.law,cap,self.native['library']) | |
| return NTTKernel(self.law) if ntt else Kernel(self.law,cap) | |
| def run_job(self,family,n,seed,cap=0,ntt=False): | |
| # Generate task inputs outside the solver timer; this cost is shared and | |
| # not called learning. Kernel construction and checking ARE inside. | |
| f=vector(seed,n,0 if family=='exponential' else 1) | |
| fshort=np.array([0,1,seed%19+1,seed%23+2,seed%13+1],dtype=np.int64) | |
| b=vector(seed+9871,n,2) | |
| start=time.perf_counter_ns() | |
| k=self.kernel(cap,ntt) | |
| if family=='reciprocal': | |
| out=reciprocal(f,n,k) | |
| elif family=='exponential': | |
| out=exponential(f,n,k) | |
| elif family=='reversion': | |
| out=reversion(fshort,n,k) | |
| elif family=='implicit_catalan': | |
| out=catalan(n,k) | |
| elif family=='convolution': | |
| out=k.mul(f,b) | |
| else: | |
| raise ValueError('Unknown task family') | |
| elapsed=time.perf_counter_ns()-start | |
| record={'family':family,'length':n,'input_seed':seed,'cap':cap,'ntt':ntt, | |
| 'wall_ns':elapsed,'output_sha256':arrayhash(out), | |
| 'meter':k.meter.snapshot(), | |
| 'trace':[[a,b,count] for (a,b),count in sorted(k.trace.items())]} | |
| return out,record | |
| def train(self): | |
| cfg=self.config | |
| account=CreditAccount(cfg['bootstrap_ledger_units']) | |
| disc=self.discovery['counts'] | |
| startup_charge=disc['rational_ops']+disc['pivot_tests']+disc['certificate_ops'] | |
| if not account.invest(startup_charge): | |
| raise RuntimeError('Insufficient bootstrap credit') | |
| cap=0 | |
| state=self.kernel(0).program() | |
| records=[];service=[];audit=[] | |
| training_wall_start=time.perf_counter() | |
| for stage,n in enumerate(cfg['training_lengths']): | |
| stage_start=time.perf_counter() | |
| for rep in range(cfg['service_jobs_per_stage']): | |
| seed=cfg['master_seed']+stage*1000+rep | |
| out,live=self.run_job('reciprocal',n,seed,cap) | |
| ref,base=self.run_job('reciprocal',n,seed,0) | |
| if not np.array_equal(out,ref): | |
| raise ArithmeticError('Service semantics changed') | |
| account.service(base['meter']['ledger_units'],live['meter']['ledger_units']) | |
| service.append({'stage':stage,'live':live,'reference':base}) | |
| seed=cfg['master_seed']+stage*1000+999 | |
| child_kernel=self.kernel(cap+1) | |
| proposed=child_kernel.program(state['sha256']) | |
| before,old=self.run_job('reciprocal',n,seed,cap) | |
| after,new=self.run_job('reciprocal',n,seed,cap+1) | |
| if not np.array_equal(before,after): | |
| raise ArithmeticError('Candidate changed learning result') | |
| # Validation work is an explicit cost of producing a successor. | |
| checks=verify_tensor(self.law)[1] | |
| investment=old['meter']['ledger_units']+new['meter']['ledger_units']+checks+len(json.dumps(proposed)) | |
| improvement=new['meter']['field_ops']<old['meter']['field_ops'] | |
| paid=account.invest(investment) | |
| committed=paid and improvement | |
| if committed: | |
| cap+=1;state=proposed | |
| event={'stage':stage,'length':n,'before_cap':cap-int(committed),'after_cap':cap, | |
| 'committed':committed,'candidate_sha256':proposed['sha256'], | |
| 'state_sha256':state['sha256'],'investment_units':investment, | |
| 'strict_arithmetic_gain':improvement,'paid':paid, | |
| 'parent_evaluation':old,'candidate_evaluation':new, | |
| 'account':account.snapshot(),'stage_wall_seconds':time.perf_counter()-stage_start} | |
| records.append(event) | |
| audit.append({'stage':stage,'candidate':proposed}) | |
| atomic_save(self.root/'results/checkpoint.json', | |
| {'generation':stage+1,'program':state,'account':account.snapshot(), | |
| 'protocol_sha256':digest(cfg),'next_request':'bounded external job'}) | |
| atomic_save(self.root/f'results/checkpoint_{stage:02d}.json', | |
| {'generation':stage+1,'program':state,'account':account.snapshot()}) | |
| result={'mode':'arithmetic objective; timings are diagnostic, not the promotion criterion', | |
| 'final_cap':cap,'commits':sum(x['committed'] for x in records), | |
| 'startup_discovery_units':startup_charge,'records':records,'service':service, | |
| 'programs':audit,'final_account':account.snapshot(), | |
| 'loop_wall_seconds_including_reference_audit':time.perf_counter()-training_wall_start, | |
| 'production_wall_seconds':sum(x['live']['wall_ns'] for x in service)/1e9+ | |
| sum((x['parent_evaluation']['wall_ns']+x['candidate_evaluation']['wall_ns'])/1e9 for x in records)+ | |
| self.discovery['wall_seconds']+self.native['wall_seconds'], | |
| 'reference_service_wall_seconds':sum(x['reference']['wall_ns'] for x in service)/1e9, | |
| 'accounting_note':'Production time includes discovery, native compilation, service and paired validation; reference reruns are research-only audit costs and are logged separately.'} | |
| self.save('training.json',result) | |
| return result | |
| def same_child(self,final_cap): | |
| cfg=self.config;rows=[] | |
| for n in cfg['same_child_lengths']: | |
| for rep in range(cfg['same_child_replicates']): | |
| seed=710000+n*10+rep | |
| child,child_record=self.run_job('reciprocal',n,seed,final_cap) | |
| artifact=self.kernel(final_cap).program('counterfactual-fixed-parent-metadata') | |
| for cap in range(final_cap+1): | |
| old,record=self.run_job('reciprocal',n,seed,cap) | |
| if not np.array_equal(old,child): | |
| raise ArithmeticError('Same-child output mismatch') | |
| fixed=verify_tensor(self.law)[1]+len(json.dumps(artifact)) | |
| rows.append({'length':n,'replicate':rep,'parent_cap':cap, | |
| 'candidate_cap':final_cap,'candidate_sha256':artifact['sha256'], | |
| 'identical_learned_output':True, | |
| 'parent_evaluation':record,'candidate_evaluation':child_record, | |
| 'meta_field_ops':record['meter']['field_ops']+child_record['meter']['field_ops'], | |
| 'meta_ledger_units':record['meter']['ledger_units']+child_record['meter']['ledger_units']+fixed, | |
| 'meta_wall_ns':record['wall_ns']+child_record['wall_ns']}) | |
| result={'definition':'Same fixed candidate artifact and task. Only the inherited arithmetic implementation used by the incumbent validation arm is intervened on.', | |
| 'not_a_claim':'This does not show that the proposal grammar or proof strategy improved.', | |
| 'rows':rows} | |
| self.save('same_child.json',result) | |
| return result | |
| def holdout(self,final_cap,wall_cap): | |
| cfg=self.config;rows=[] | |
| methods=[('frozen_schoolbook',0,False),('arithmetic_lineage',final_cap,False), | |
| ('wall_gated_lineage',wall_cap,False),('static_cap4',4,False), | |
| ('static_full_envelope',20,False),('conventional_NTT',0,True)] | |
| order_rng=np.random.default_rng(22012027) | |
| for family in ['exponential','reversion','implicit_catalan','convolution']: | |
| for n in cfg['holdout_lengths']: | |
| for rep in range(cfg['holdout_replicates']): | |
| seed=cfg['holdout_seed']+n*100+rep | |
| expected=None | |
| for j in order_rng.permutation(len(methods)): | |
| name,cap,ntt=methods[int(j)] | |
| out,row=self.run_job(family,n,seed,cap,ntt) | |
| if expected is None:expected=out | |
| elif not np.array_equal(out,expected): | |
| raise ArithmeticError('Held-out algorithm disagreement') | |
| row.update({'method':name,'replicate':rep,'correct_vs_other_algorithms':True}) | |
| rows.append(row) | |
| result={'status':'Fresh coefficient instances and control-flow families, but the same finite-field arithmetic contract.', | |
| 'families_not_used_for_promotion':['exponential','reversion','implicit_catalan','convolution'], | |
| 'rows':rows} | |
| self.save('holdout.json',result) | |
| return result | |
| def hardware_gate(self): | |
| cfg=self.config;cap=0;records=[] | |
| rng=np.random.default_rng(813411) | |
| for proposal,n in enumerate(cfg['hardware_audit_lengths'],1): | |
| gate=AnytimeGate(proposal,cfg['hardware_alpha']) | |
| pairs=[];parent_cap=cap | |
| for t in range(cfg['hardware_audit_max_pairs']): | |
| seed=8800000+proposal*10000+t | |
| order=list(map(int,rng.permutation(2)));data={};outs={} | |
| for j in order: | |
| outs[int(j)],data[int(j)]=self.run_job('reciprocal',n,seed,cap+int(j)) | |
| if not np.array_equal(outs[0],outs[1]): | |
| raise ArithmeticError('Hardware gate saw a semantic difference') | |
| a,b=data[0]['wall_ns'],data[1]['wall_ns'] | |
| sign=1 if b<a else (-1 if b>a else 0) | |
| gate.update(sign) | |
| pairs.append({'trial':t,'order':order,'parent_ns':a,'candidate_ns':b, | |
| 'sign':sign,'parent_units':data[0]['meter']['ledger_units'], | |
| 'candidate_units':data[1]['meter']['ledger_units']}) | |
| if gate.accepted and t+1>=16: | |
| break | |
| if gate.accepted:cap+=1 | |
| records.append({'proposal':proposal,'length':n,'parent_cap':parent_cap, | |
| 'candidate_cap':parent_cap+1,'accepted':gate.accepted, | |
| 'after_cap':cap,'evidence':gate.snapshot(),'pairs':pairs}) | |
| result={'final_cap':cap,'accepted_proposals':sum(r['accepted'] for r in records), | |
| 'alpha':cfg['hardware_alpha'],'records':records, | |
| 'null':'For a proposal, conditional probability of a candidate timing win is at most one half on the sampled reciprocal workload.', | |
| 'limitations':'No distribution-free guarantee for future wall time; hardware-dependent outcomes; this gate is separate from the arithmetic lineage.'} | |
| self.save('hardware_gate.json',result) | |
| return result | |
| def payback(self,cap): | |
| cfg=self.config;rows=[];rng=np.random.default_rng(199903) | |
| for rep in range(cfg['payback_jobs']): | |
| seed=9100000+rep | |
| pair={};outs={} | |
| for j in rng.permutation(2): | |
| outs[int(j)],pair[int(j)]=self.run_job('reciprocal',cfg['payback_length'],seed,cap if j else 0) | |
| if not np.array_equal(outs[0],outs[1]): | |
| raise ArithmeticError('Payback task mismatch') | |
| rows.append({'replicate':rep,'frozen':pair[0],'evolved':pair[1]}) | |
| result={'deployed_cap':cap,'rows':rows, | |
| 'frozen_seconds':sum(r['frozen']['wall_ns'] for r in rows)/1e9, | |
| 'evolved_seconds':sum(r['evolved']['wall_ns'] for r in rows)/1e9, | |
| 'note':'A measured finite deployment workload, not a forecast. Subtract separately recorded discovery, compilation and all relevant proposal-validation costs before claiming net payback.'} | |
| self.save('payback.json',result) | |
| return result | |
| def fixed_budget(self,cap,wall_cap): | |
| cfg=self.config;rows=[] | |
| methods=[('frozen_schoolbook',0,False),('arithmetic_lineage',cap,False), | |
| ('wall_gated_lineage',wall_cap,False),('static_cap4',4,False), | |
| ('static_full_envelope',20,False),('conventional_NTT',0,True)] | |
| for name,d,ntt in methods: | |
| spent=0;completed=0;wall=0.;hashes=[] | |
| # Exact shape model makes cost constant for non-NTT methods. NTT | |
| # root setup is separately charged through measured counters. | |
| while completed<1000: | |
| out,r=self.run_job('reciprocal',cfg['budget_length'],9300000+completed,d,ntt) | |
| units=r['meter']['ledger_units'] | |
| if spent+units>cfg['budget_ledger_units']: | |
| # This look-ahead run belongs to audit, not the service | |
| # budget; its full cost is explicitly disclosed. | |
| lookahead={'units':units,'wall_ns':r['wall_ns']};break | |
| spent+=units;wall+=r['wall_ns']/1e9;completed+=1;hashes.append(r['output_sha256']) | |
| rows.append({'method':name,'completed':completed,'budget':cfg['budget_ledger_units'], | |
| 'spent_units':spent,'service_seconds':wall,'output_hashes':hashes, | |
| 'research_only_lookahead':lookahead}) | |
| result={'scope':'Equal warm-service abstract resource budgets; separate from end-to-end training budgets.', | |
| 'rows':rows} | |
| self.save('fixed_budget.json',result) | |
| return result | |
| def e_simulation(self): | |
| cfg=self.config;rng=np.random.default_rng(319127) | |
| result=[] | |
| for probability in [0.5,0.65,0.8]: | |
| successes=0;stops=[] | |
| for simulation in range(cfg['null_simulations']): | |
| gate=AnytimeGate(1,cfg['hardware_alpha']) | |
| for t in range(cfg['null_horizon']): | |
| if gate.update(1 if rng.random()<probability else -1): | |
| successes+=1;stops.append(t+1);break | |
| result.append({'win_probability':probability,'accepted':successes, | |
| 'runs':cfg['null_simulations'],'horizon':cfg['null_horizon'], | |
| 'acceptance_fraction':successes/cfg['null_simulations'], | |
| 'mean_stopping_trial_if_accepted':float(np.mean(stops)) if stops else None}) | |
| output={'proposal':1,'allocated_alpha':cfg['hardware_alpha']/2,'results':result, | |
| 'interpretation':'Monte Carlo check of a proved gate, not evidence of AI capability.'} | |
| self.save('e_simulation.json',output) | |
| return output | |
| def run(self): | |
| totalstart=time.perf_counter() | |
| self.save('discovery.json',self.discovery) | |
| self.save('native_build.json',self.native) | |
| self.save('environment.json',{'python':sys.version,'platform':platform.platform(), | |
| 'numpy':np.__version__,'backend':self.backend, | |
| 'hardware_scope':'Container CPU only; no GPU or user-PC benchmark', | |
| 'protocol_sha256':digest(self.config)}) | |
| training=self.train() | |
| print('Training',training['commits'],'commits; cap',training['final_cap'],flush=True) | |
| same=self.same_child(training['final_cap']) | |
| hardware=self.hardware_gate() | |
| print('Hardware gate',hardware['accepted_proposals'],'accepted; cap',hardware['final_cap'],flush=True) | |
| holdout=self.holdout(training['final_cap'],hardware['final_cap']) | |
| payback=self.payback(hardware['final_cap']) | |
| budget=self.fixed_budget(training['final_cap'],hardware['final_cap']) | |
| e=self.e_simulation() | |
| self.save('experiment_run.json',{'completed':True,'wall_seconds':time.perf_counter()-totalstart, | |
| 'training_commits':training['commits'],'hardware_commits':hardware['accepted_proposals'], | |
| 'heldout_method_runs':len(holdout['rows']),'same_child_runs':len(same['rows']), | |
| 'payback_jobs':len(payback['rows']),'note':'All reported outcomes, including regressions and stronger conventional controls, are retained.'}) | |
| print('Completed experiments',time.perf_counter()-totalstart,flush=True) | |
| if __name__=='__main__': | |
| Lab(native='--portable' not in sys.argv).run() | |