{"anchors": [], "axis_coords": {"axis": "mathematics", "dimensions": ["reasoning"]}, "content_hash": "a8e09bb2b249b5f342d57946144fc09009519a25bc9bbf4b5f76cace64e522f5", "gate_results": [{"details": {"broken_at": null, "confirmed_steps": 9, "gap_at": null, "steps": 9, "verdict": "HOLDS"}, "gate": "RED", "reasons": ["derivation verdict: HOLDS"], "status": "PASS"}], "overall": "PASS", "schema_version": "2.0", "verifier_results": [{"data": {"claim": "", "domain": "mathematics", "link_ok": true, "uses": []}, "detail": "log(8)/log(2) = 3; both sides reduce to 3", "name": "cob", "status": "CONFIRMED"}, {"data": {"claim": "", "domain": "mathematics", "link_ok": true, "uses": ["cob"]}, "detail": "log(15) = log(3)+log(5); the two sides are equal -- each reduces to log(15), so their difference simplifies to 0", "name": "mult", "status": "CONFIRMED"}, {"data": {"claim": "", "domain": "mathematics", "link_ok": true, "uses": ["mult"]}, "detail": "floor(100*10*log(2)/log(10)) = 301; both sides reduce to 301", "name": "db", "status": "CONFIRMED"}, {"data": {"claim": "", "domain": "mathematics", "link_ok": true, "uses": ["db"]}, "detail": "floor(1000*10**(3/2)) = 31622; both sides reduce to 31622", "name": "rich", "status": "CONFIRMED"}, {"data": {"claim": "", "domain": "mathematics", "link_ok": true, "uses": ["rich"]}, "detail": "(2**(1/12))**12 = 2; both sides reduce to 2", "name": "oct", "status": "CONFIRMED"}, {"data": {"claim": "", "domain": "mathematics", "link_ok": true, "uses": ["oct"]}, "detail": "floor(10**4*2**(1/12)) = 10594; both sides reduce to 10594", "name": "semi", "status": "CONFIRMED"}, {"data": {"claim": "", "domain": "mathematics", "link_ok": true, "uses": ["semi"]}, "detail": "(100**(1/5))**5 = 100; both sides reduce to 100", "name": "star", "status": "CONFIRMED"}, {"data": {"claim": "", "domain": "mathematics", "link_ok": true, "uses": ["star"]}, "detail": "-log(10**(-4))/log(10) = 4; both sides reduce to 4", "name": "ph", "status": "CONFIRMED"}, {"data": {"claim": "", "domain": "mathematics", "link_ok": true, "uses": ["ph"]}, "detail": "floor(1000*log(2)/log(10)) = 301; both sides reduce to 301", "name": "benford", "status": "CONFIRMED"}]}