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5.26 kB
| """Independent re-derivation of proxy answers from what the model can see (SQL, sandboxed Python, brute force).""" | |
| import itertools | |
| import json | |
| import math | |
| import re | |
| from fractions import Fraction | |
| from .core import run_python | |
| from .tasks import FAMILIES | |
| FIN_SQL = {0: """ | |
| WITH paid AS (SELECT invoice_id, SUM(amount) AS p FROM payments GROUP BY invoice_id), | |
| bal AS (SELECT i.customer_id, (i.amount - COALESCE(p.p, 0)) * f.usd_per_unit AS usd | |
| FROM invoices i JOIN fx_rates f ON f.currency = i.currency LEFT JOIN paid p ON p.invoice_id = i.id | |
| WHERE i.status = 'open' AND julianday('2026-09-30') - julianday(i.due) > 60 | |
| AND i.amount - COALESCE(p.p, 0) > 0.005) | |
| SELECT (SELECT ROUND(SUM(usd), 2) FROM bal), | |
| (SELECT c.name FROM bal b JOIN customers c ON c.id = b.customer_id GROUP BY c.id ORDER BY SUM(usd) DESC LIMIT 1) | |
| """, 1: """ | |
| SELECT COUNT(*), ROUND(SUM(p2.amount * f.usd_per_unit), 2) | |
| FROM payments p2 JOIN invoices i ON i.id = p2.invoice_id JOIN fx_rates f ON f.currency = i.currency | |
| WHERE EXISTS (SELECT 1 FROM payments p1 WHERE p1.invoice_id = p2.invoice_id AND p1.amount = p2.amount | |
| AND p1.id != p2.id AND julianday(p2.paid_on) - julianday(p1.paid_on) BETWEEN 0 AND 3 | |
| AND (p1.paid_on < p2.paid_on OR (p1.paid_on = p2.paid_on AND p1.id < p2.id))) | |
| """} | |
| SCI_CODE = r''' | |
| import csv, json, math | |
| rows = list(csv.DictReader(open("data.csv"))) | |
| def fit(xs, ys): | |
| n = len(xs); mx = sum(xs)/n; my = sum(ys)/n | |
| b = sum((x-mx)*(y-my) for x, y in zip(xs, ys)) / sum((x-mx)**2 for x in xs) | |
| return b, my - b*mx | |
| k = list(rows[0]) | |
| out = {} | |
| if k[0] == "temperature_K": | |
| b, a = fit([1/float(r[k[0]]) for r in rows], [math.log(float(r[k[1]])) for r in rows]) | |
| out = {"activation_energy_kj_per_mol": -b*8.314/1000, "k_at_375K_per_s": math.exp(a + b/375)} | |
| elif k[0] == "time_h": | |
| w = [r for r in rows if 0.05 <= float(r["od600"]) <= 0.5] | |
| b, a = fit([float(r["time_h"]) for r in w], [math.log(float(r["od600"])) for r in w]) | |
| out = {"doubling_time_min": math.log(2)/b*60, "rows_used": len(w)} | |
| elif k[0] == "genotype": | |
| c = {r["genotype"]: int(r["count"]) for r in rows}; n = sum(c.values()) | |
| p = (2*c["AA"] + c["Aa"])/(2*n); e = [n*p*p, 2*n*p*(1-p), n*(1-p)**2] | |
| chi = sum((o-x)**2/x for o, x in zip([c["AA"], c["Aa"], c["aa"]], e)) | |
| out = {"allele_frequency_A": p, "chi_square": chi, "decision": "reject" if chi > 3.841 else "fail to reject"} | |
| else: | |
| g = [r for r in rows if not r["flag"]] | |
| b, a = fit([float(r["standard_mg_per_L"]) for r in g], [float(r["absorbance"]) for r in g]) | |
| out = {"slope": b, "intercept": a} | |
| print(json.dumps(out)) | |
| ''' | |
| def close(a, b): | |
| if isinstance(b, str): | |
| return a == b | |
| return math.isclose(a, b, rel_tol=1e-6, abs_tol=1e-9) | |
| def main(seeds=10): | |
| bad = 0 | |
| for seed in range(seeds): | |
| t = FAMILIES["finance-receivables"](seed) | |
| got = t.db.execute(FIN_SQL[t.variant]).fetchone() | |
| want = list(t.answer.values()) | |
| ok = (abs(got[0] - want[0]) <= 0.02 and got[1] == want[1]) if t.variant == 0 else \ | |
| (got[0] == want[0] and abs(got[1] - want[1]) <= 0.02) | |
| bad += not ok | |
| print("finance", seed, ok, got, want) if not ok else None | |
| t = FAMILIES["science-lab"](seed) | |
| code, out = run_python({"data.csv": t.csv, "main.py": SCI_CODE}, ["python", "main.py"]) | |
| got = json.loads(out) | |
| if "intercept" in got: # standard curve: recompute the sample from the stated absorbance | |
| absorb = float(re.search(r"absorbance ([\d.]+)\. Report", t.question).group(1)) | |
| got = {"slope": got["slope"], "sample_mg_per_L": (absorb - got["intercept"]) / got["slope"]} | |
| ok = got.keys() == t.answer.keys() and all(close(got[k], v) for k, v in t.answer.items()) | |
| bad += not ok | |
| print("science", seed, ok, got, t.answer) if not ok else None | |
| t = FAMILIES["math-oneshot"](seed) | |
| txt = t.text | |
| if "grid paths" in txt: | |
| w, h, bx, by = map(int, re.findall(r"\((\d+),(\d+)\)", txt)[1] + re.findall(r"\((\d+),(\d+)\)", txt)[2]) | |
| grid = [[0] * (h + 1) for _ in range(w + 1)] | |
| for x in range(w + 1): | |
| for y in range(h + 1): | |
| grid[x][y] = 0 if (x, y) == (bx, by) else (1 if x == y == 0 else | |
| (grid[x - 1][y] if x else 0) + (grid[x][y - 1] if y else 0)) | |
| ok = str(grid[w][h]) == t.truth | |
| elif "marbles" in txt: | |
| red, blue = map(int, re.findall(r"(\d+) red and (\d+) blue", txt)[0]) | |
| bag = ["r"] * red + ["b"] * blue | |
| draws = list(itertools.combinations(range(len(bag)), 3)) | |
| p = Fraction(sum(1 for d in draws if sum(bag[i] == "r" for i in d) == 2), len(draws)) | |
| ok = f"{p.numerator}/{p.denominator}" == t.truth | |
| elif "last two digits" in txt: | |
| a, b = map(int, re.findall(r"of (\d+)\^(\d+)", txt)[0]) | |
| ok = str(a ** b)[-2:] == t.truth | |
| else: | |
| ok = True # triples and knights are already brute-forced by the generator | |
| bad += not ok | |
| print("math", seed, ok, txt, t.truth) if not ok else None | |
| print("independent mismatches:", bad) | |
| if __name__ == "__main__": | |
| main() | |