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6b93c3b | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 | #!/usr/bin/env python3
"""Build an HTML page with model predictions for a range of k.
Columns: k | MLP | XGBoost | LightGBM
Each cell: 'O ✓' or 'E ✗' (O=odd, E=even ; check=correct, cross=wrong)
"""
import os, sys, time
import numpy as np
import pandas as pd
from sklearn.preprocessing import StandardScaler
import xgboost as xgb, lightgbm as lgb
import torch, torch.nn as nn
class BitTransformer(nn.Module):
def __init__(self, seq_len=512, d=128, nhead=4, nlayers=4):
super().__init__()
self.tok = nn.Embedding(2, d)
self.pos = nn.Parameter(torch.randn(1, seq_len, d) * 0.02)
self.cls = nn.Parameter(torch.randn(1, 1, d) * 0.02)
enc = nn.TransformerEncoderLayer(d_model=d, nhead=nhead, dim_feedforward=4*d,
batch_first=True, activation="gelu", norm_first=True)
self.enc = nn.TransformerEncoder(enc, num_layers=nlayers)
self.head = nn.Linear(d, 1)
def forward(self, x_bits):
h = self.tok(x_bits) + self.pos
cls = self.cls.expand(h.size(0), -1, -1)
h = torch.cat([cls, h], dim=1)
h = self.enc(h)
return self.head(h[:, 0, :]).squeeze(1)
def bits_of(x, y):
arr = np.empty(512, dtype=np.int64)
for j in range(256):
arr[j] = (x >> (255 - j)) & 1
arr[256 + j] = (y >> (255 - j)) & 1
return arr
p = 2**256 - 2**32 - 977
Gx = 55066263022277343669578718895168534326250603453777594175500187360389116729240
Gy = 32670510020758816978083085130507043184471273380659243275938904335757337482424
def inv(a): return pow(a, p-2, p)
def add(P, Q):
if P is None: return Q
if Q is None: return P
x1,y1=P; x2,y2=Q
if x1==x2 and (y1+y2)%p==0: return None
m=(3*x1*x1)*inv(2*y1)%p if P==Q else (y2-y1)*inv(x2-x1)%p
x3=(m*m-x1-x2)%p
return (x3,(m*(x1-x3)-y1)%p)
def mul(k, P):
R=None
while k:
if k&1: R=add(R,P)
P=add(P,P); k>>=1
return R
def num_features(v, prefix):
s = str(v); digs = [int(c) for c in s]
return {
f"{prefix}_num_digits": len(s), f"{prefix}_first_digit": digs[0],
f"{prefix}_last_digit": digs[-1], f"{prefix}_last2": v % 100,
f"{prefix}_last3": v % 1000, f"{prefix}_digit_sum": sum(digs),
f"{prefix}_digit_sum_mod_9": sum(digs) % 9,
f"{prefix}_even_digit_count": sum(1 for d in digs if d%2==0),
f"{prefix}_odd_digit_count": sum(1 for d in digs if d%2==1),
f"{prefix}_zero_count": s.count("0"),
f"{prefix}_unique_digit_count": len(set(s)),
f"{prefix}_bit_length": v.bit_length(),
f"{prefix}_popcount": bin(v).count("1"),
f"{prefix}_state": v % 2,
f"{prefix}_mod_3": v % 3, f"{prefix}_mod_5": v % 5,
f"{prefix}_mod_7": v % 7, f"{prefix}_mod_11": v % 11,
f"{prefix}_mod_13": v % 13, f"{prefix}_mod_17": v % 17,
f"{prefix}_mod_19": v % 19,
}
def featurize(x, y):
sxd = sum(int(c) for c in str(x)); syd = sum(int(c) for c in str(y))
row = {}
row.update(num_features(x, "x")); row.update(num_features(y, "y"))
row["x_gt_y"] = int(x > y)
row["digit_sum_diff_xy"] = sxd - syd
return row
def main(N=2000, k_start=2_000_000, out="/tmp/predictions.html"):
G = (Gx, Gy)
print(f"computing kG for k = {k_start} .. {k_start+N-1}")
t0 = time.time()
P = mul(k_start - 1, G)
feats, ks, truths, bits = [], [], [], []
for i in range(N):
k = k_start + i
P = add(P, G)
feats.append(featurize(*P))
bits.append(bits_of(*P))
ks.append(k); truths.append(k & 1)
print(f" {N} points done in {time.time()-t0:.1f}s")
bits_arr = np.stack(bits).astype(np.int64)
df_tr = pd.read_parquet("features.parquet")
drop = {"k","k_state","abs_x_minus_y"}
feat_cols = [c for c in df_tr.columns if c not in drop]
X = np.array([[r[c] for c in feat_cols] for r in feats], dtype=np.float32)
y = np.array(truths, dtype=np.int8)
bst = xgb.XGBClassifier(); bst.load_model("results/xgb.json")
p_xgb = bst.predict_proba(X)[:,1]
lgbm = lgb.Booster(model_file="results/lgbm.txt")
p_lgb = lgbm.predict(X)
Xtr = df_tr[feat_cols].astype(np.float32).values
sc = StandardScaler().fit(Xtr[:int(0.7*len(Xtr))])
Xs = sc.transform(X)
device = "cuda" if torch.cuda.is_available() else "cpu"
D = X.shape[1]
mlp = nn.Sequential(nn.Linear(D,512),nn.ReLU(),nn.Linear(512,512),nn.ReLU(),
nn.Linear(512,256),nn.ReLU(),nn.Linear(256,1)).to(device)
mlp.load_state_dict(torch.load("results/mlp.pt", map_location=device))
mlp.eval()
with torch.no_grad():
logits = mlp(torch.tensor(Xs, dtype=torch.float32, device=device)).squeeze(1).cpu().numpy()
p_mlp = 1/(1+np.exp(-logits))
# bit-transformer
bx = BitTransformer().to(device)
bx.load_state_dict(torch.load("results/bit_xformer.pt", map_location=device))
bx.eval()
p_bx = []
with torch.no_grad():
for i in range(0, N, 4096):
chunk = torch.tensor(bits_arr[i:i+4096], dtype=torch.long, device=device)
p_bx.append(torch.sigmoid(bx(chunk)).cpu().numpy())
p_bx = np.concatenate(p_bx)
pred_mlp = (p_mlp > 0.5).astype(int)
pred_xgb = (p_xgb > 0.5).astype(int)
pred_lgb = (p_lgb > 0.5).astype(int)
pred_bx = (p_bx > 0.5).astype(int)
def cell(pred, truth):
letter = "O" if pred == 1 else "E"
ok = (pred == truth)
cls = "ok" if ok else "bad"
mark = "✓" if ok else "✗"
return f'<td class="{cls}">{letter} {mark}</td>'
rows = []
for i in range(N):
k = ks[i]; t = truths[i]
truth_letter = "O" if t == 1 else "E"
rows.append("<tr>"
f"<td class='k'>{k}</td>"
f"<td class='truth'>{truth_letter}</td>"
+ cell(pred_mlp[i], t)
+ cell(pred_xgb[i], t)
+ cell(pred_lgb[i], t)
+ cell(pred_bx[i], t)
+ "</tr>")
acc_mlp = (pred_mlp == y).mean()
acc_xgb = (pred_xgb == y).mean()
acc_lgb = (pred_lgb == y).mean()
acc_bx = (pred_bx == y).mean()
html = f"""<!doctype html>
<html><head><meta charset="utf-8"><title>secp256k1 parity predictions</title>
<style>
:root {{ color-scheme: dark; }}
body {{ background:#0e1117; color:#e6edf3; font-family:-apple-system,BlinkMacSystemFont,system-ui,sans-serif; margin:24px;}}
h1 {{ margin:0 0 6px; font-size:22px; }}
.sub {{ color:#8b949e; margin:0 0 18px; font-size:13px; }}
.stats {{ display:flex; gap:18px; margin-bottom:16px; }}
.stats div {{ background:#161b22; border:1px solid #30363d; border-radius:8px; padding:10px 14px; }}
.stats span {{ color:#8b949e; font-size:11px; text-transform:uppercase; display:block; }}
.stats b {{ font-size:18px; color:#f7931a; }}
table {{ border-collapse:collapse; width:100%; font-family:ui-monospace,monospace; font-size:13px; }}
th,td {{ padding:6px 10px; border-bottom:1px solid #21262d; text-align:left; }}
th {{ background:#161b22; color:#8b949e; text-transform:uppercase; font-size:11px; letter-spacing:.05em; position:sticky; top:0; }}
td.k {{ color:#8b949e; }}
td.truth {{ color:#f7931a; font-weight:600; }}
td.ok {{ color:#3fb950; }}
td.bad {{ color:#f85149; }}
tr:hover td {{ background:#161b22; }}
</style></head><body>
<h1>secp256k1 parity predictions — k = {ks[0]} … {ks[-1]}</h1>
<p class="sub">truth column = actual parity of k (O=odd, E=even). Model columns show prediction + ✓ (correct) or ✗ (wrong).</p>
<div class="stats">
<div><span>MLP accuracy</span><b>{acc_mlp*100:.2f}%</b></div>
<div><span>XGBoost accuracy</span><b>{acc_xgb*100:.2f}%</b></div>
<div><span>LightGBM accuracy</span><b>{acc_lgb*100:.2f}%</b></div>
<div><span>Bit-Transformer accuracy</span><b>{acc_bx*100:.2f}%</b></div>
<div><span>rows</span><b>{N}</b></div>
</div>
<table>
<thead><tr><th>k</th><th>truth</th><th>MLP</th><th>XGBoost</th><th>LightGBM</th><th>BitXformer</th></tr></thead>
<tbody>
{''.join(rows)}
</tbody></table>
</body></html>
"""
with open(out, "w") as f: f.write(html)
print(f"wrote {out} ({os.path.getsize(out)/1024:.0f} KB)")
print(f"acc: MLP={acc_mlp:.4f} XGB={acc_xgb:.4f} LGB={acc_lgb:.4f} BX={acc_bx:.4f}")
if __name__ == "__main__":
N = int(sys.argv[1]) if len(sys.argv) > 1 else 2000
main(N=N)
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