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Mid-Prophet M3: real transformer-style decoder (numpy-only).
Configurable: width (D), depth (L blocks), context (K), heads (H).
Same training procedure as M3.0 regardless of size, so capacity is
the only axis changed.
Architecture:
- vocabulary: 28-token (M3.0/M3.1) OR 64-token learned codec (M3.2)
- K-token context window
- learned embedding (V -> D) + positional embedding (K -> D)
- L decoder blocks: causal multi-head attention (H heads, head_dim=D//H)
with real QKV projections + Wo,
tanh FFN (D -> 2D -> D), residuals
- softmax projection (D -> V)
- proper backprop through attention + FFN + embeddings
Train: mini-batch Adam over the full Kenga corpus. Held out: 9
kenga_seed_*.kenga programs (next-token accuracy).
M3.2 ("representation expansion"): set M3_CODEC=1 to use the 64-token
codec (tools/codec_bpe.py, minds/kenga_bpe.pkl). Architecture, procedure,
dataset and eval are identical to M3.1; only the vocabulary changes.
Run:
/c/Python314/python tools/train_m3.py
"""
import os
import numpy as np
KEYWORDS = {'fn','return','let','if','else','while','for','i64','println'}
TWO_CHAR = {'->','==','<=','>=','!=','&&','||','<<','>>','&','|','^','~'}
TOKENS = [
'fn', 'return', 'let', 'if', 'else', 'while',
'for', 'i64', ':', ',', ';', '{',
'}', '(', ')', '->', '+', '-',
'*', '/', '=', '==', '<', '<=',
'>', 'println','ID', 'NUM',
]
V = len(TOKENS)
VOCAB = {t: i for i, t in enumerate(TOKENS)}
def tokenize(src):
out = []
i = 0
n = len(src)
while i < n:
c = src[i]
if c in ' \t\n\r':
i += 1; continue
if c == '/' and i+1 < n and src[i+1] == '/':
while i < n and src[i] != '\n': i += 1
continue
two = src[i:i+2]
if two in TWO_CHAR:
out.append(VOCAB.get(two, VOCAB['ID'])); i += 2; continue
if c in (':', ',', ';', '{', '}', '(', ')', '+', '-', '*', '/', '=', '<', '>'):
if c == '-' and i+1 < n and src[i+1] == '>':
out.append(VOCAB['->']); i += 2; continue
out.append(VOCAB[c]); i += 1; continue
if c.isdigit():
j = i
while j < n and src[j].isdigit(): j += 1
out.append(VOCAB['NUM']); i = j; continue
if c.isalpha() or c == '_':
j = i
while j < n and (src[j].isalnum() or src[j] == '_'):
j += 1
word = src[i:j]
out.append(VOCAB[word] if word in KEYWORDS else VOCAB['ID'])
i = j; continue
i += 1
return out
def make_codec():
"""Load the codec (minds/kenga_bpe.pkl or kenga_digits.pkl). Returns a
Codec-like object exposing tokens, token_to_id, encode_word."""
import pickle
path = os.environ.get('M3_CODEC_FILE', 'minds/kenga_bpe.pkl')
with open(path, 'rb') as f:
data = pickle.load(f)
tokens = data['tokens']
merges = data['merges']
id_to_token = tokens
token_to_id = {t: i for i, t in enumerate(tokens)}
merge_set = set(a + b for a, b in merges)
def encode_word(w):
if w in KEYWORDS:
return [token_to_id[w]]
spellable = all(ch in token_to_id for ch in w)
if not spellable:
return [token_to_id['ID']]
toks = list(w)
changed = True
while changed:
changed = False
i = 0
while i < len(toks) - 1:
merged = toks[i] + toks[i+1]
if merged in merge_set:
toks[i:i+2] = [merged]
changed = True
i += 1
return [token_to_id[t] for t in toks]
return {
'tokens': tokens,
'id_to_token': id_to_token,
'token_to_id': token_to_id,
'encode_word': encode_word,
}
def make_codec_tokenize(codec):
"""Tokenizer that uses the codec for identifiers, syntax as usual."""
token_to_id = codec['token_to_id']
encode_word = codec['encode_word']
def tokenize_codec(src):
out = []
i = 0
n = len(src)
while i < n:
c = src[i]
if c in ' \t\n\r':
i += 1; continue
if c == '/' and i+1 < n and src[i+1] == '/':
while i < n and src[i] != '\n': i += 1
continue
two = src[i:i+2]
if two in TWO_CHAR:
out.append(token_to_id.get(two, token_to_id['ID'])); i += 2; continue
if c in (':', ',', ';', '{', '}', '(', ')', '+', '-', '*', '/', '=', '<', '>'):
if c == '-' and i+1 < n and src[i+1] == '>':
out.append(token_to_id['->']); i += 2; continue
out.append(token_to_id[c]); i += 1; continue
if c.isdigit():
j = i
while j < n and src[j].isdigit(): j += 1
if 'NUM' in token_to_id:
out.append(token_to_id['NUM']); i = j; continue
# digit codec: emit each digit as its own token
for d in src[i:j]:
out.append(token_to_id.get(d, token_to_id['ID']))
i = j; continue
if c.isalpha() or c == '_':
j = i
while j < n and (src[j].isalnum() or src[j] == '_'):
j += 1
word = src[i:j]
out.extend(encode_word(word))
i = j; continue
i += 1
return out
return tokenize_codec
def collect_corpus():
if os.environ.get('M3_ONLY_FACTORY', '0') == '1':
return []
parts = []
SKIP_BIG = {
'bc_src_c.kenga','more.kenga','lower_kv.kenga','lower_c.kenga',
'rt_prophet.kenga','native_ml.kenga','rt_vm.kenga','rt_tensor.kenga',
'rt_kval_tape.kenga','rt_kval_mem.kenga',
}
include_big = os.environ.get('M3_INCLUDE_BIG', '0') == '1'
# Phase II M5.2: file-level holdout of REAL code (whole files, not rows)
import hashlib
real_split = os.environ.get('M3_REAL_SPLIT', '')
holdout_frac = float(real_split) if real_split else 0.0
for root in ('kenga', 'examples'):
for r, ds, fs in os.walk(root):
for f in fs:
if not f.endswith('.kenga'): continue
if not include_big and f in SKIP_BIG: continue
if f.startswith('mid_prophet') or f.startswith('pico_birth'): continue
p = os.path.join(r, f)
if holdout_frac > 0:
h = int(hashlib.md5(p.replace('\\\\', '/').encode()).hexdigest(), 16) % 10000
side = 'held' if h < holdout_frac * 10000 else 'train'
parts.append((side, p))
continue
if 'kenga_seed_' in p:
if os.environ.get('M3_INCLUDE_SEEDS') == '1':
repeat = int(os.environ.get('M3_SEED_REPEAT', '1'))
for _ in range(max(1, repeat)):
parts.append(('train', p))
else:
parts.append(('held', p))
continue
try:
data = open(p, encoding='utf-8', errors='replace').read()
parts.append(('train', p))
except Exception:
pass
return parts
class Block:
"""One transformer decoder block: self-attention + tanh FFN, both residual."""
def __init__(self, D, FF, rng):
self.Wq = rng.randn(D, D) * 0.05
self.Wk = rng.randn(D, D) * 0.05
self.Wv = rng.randn(D, D) * 0.05
self.Wo = rng.randn(D, D) * 0.05
self.W1 = rng.randn(D, FF) * 0.04
self.b1 = np.zeros(FF)
self.W2 = rng.randn(FF, D) * 0.04
self.b2 = np.zeros(D)
def params(self):
return ['Wq', 'Wk', 'Wv', 'Wo', 'W1', 'b1', 'W2', 'b2']
class M3:
def __init__(self, V, K, D, H, L, rng):
self.V, self.K, self.D, self.H, self.L = V, K, D, H, L
self.HEAD = D // H
self.FF = D * 2
self.E_tok = rng.randn(V, D) * 0.10
self.E_pos = rng.randn(K, D) * 0.10
self.blocks = [Block(D, self.FF, rng) for _ in range(L)]
self.Wout = rng.randn(D, V) * 0.05
self.bout = None
self.mask = np.triu(np.ones((K, K), dtype=bool), k=1)
def n_params(self):
n = self.V * self.D + self.K * self.D
n += sum(4 * self.D * self.D + 2 * self.D * self.FF + self.FF + self.D
for _ in self.blocks)
n += self.D * self.V + self.V
return n
def params_map(self):
"""Flatten all params into {name: array} for the optimizer."""
p = {}
p['E_tok'] = self.E_tok
p['E_pos'] = self.E_pos
for li, blk in enumerate(self.blocks):
for name in blk.params():
p[f'{li}:{name}'] = getattr(blk, name)
p['Wout'] = self.Wout
p['bout'] = self.bout
return p
def forward(self, x):
"""x: (B, K) token ids -> logits (B, V). Returns logits + caches."""
B = x.shape[0]
K, D, H, HEAD = self.K, self.D, self.H, self.HEAD
X = self.E_tok[x] + self.E_pos[np.arange(K)] # (B, K, D)
cur = X
caches = [] # per-block: (X_in, Q, K_, V_, q, k, v, scores, attn, ctx, attn_out, h1, act, h2, Y)
for blk in self.blocks:
Q = cur @ blk.Wq
K_ = cur @ blk.Wk
V_ = cur @ blk.Wv
q = Q.reshape(B, K, H, HEAD).transpose(0, 2, 1, 3)
k = K_.reshape(B, K, H, HEAD).transpose(0, 2, 1, 3)
v = V_.reshape(B, K, H, HEAD).transpose(0, 2, 1, 3)
scores = q @ k.transpose(0, 1, 3, 2) / np.sqrt(HEAD)
scores = scores + np.where(self.mask, -1e9, 0.0)
attn = np.exp(scores - scores.max(axis=-1, keepdims=True))
attn = attn / attn.sum(axis=-1, keepdims=True)
ctx = attn @ v
ctx = ctx.transpose(0, 2, 1, 3).reshape(B, K, D)
attn_out = cur + ctx @ blk.Wo
h1 = attn_out @ blk.W1 + blk.b1
act = np.tanh(h1)
h2 = act @ blk.W2 + blk.b2
Y = attn_out + h2
caches.append((cur, Q, K_, V_, q, k, v, scores, attn, ctx, attn_out, h1, act, h2, Y))
cur = Y
logits = cur @ self.Wout + self.bout
return logits, (x, X, caches, cur)
class AdamOpt:
def __init__(self, params, lr=0.005, b1=0.9, b2=0.999, eps=1e-8):
self.lr = lr
self.b1, self.b2, self.eps = b1, b2, eps
self.m = {k: np.zeros_like(v) for k, v in params.items()}
self.v = {k: np.zeros_like(v) for k, v in params.items()}
self.t = 0
self.params = params
def step(self, grads, max_norm=None):
self.t += 1
if max_norm:
# global-norm gradient clipping (prevents loss explosions)
total = 0.0
for g in grads.values():
total += float((g * g).sum())
total = total ** 0.5
if total > max_norm:
scale = max_norm / (total + 1e-12)
grads = {k: g * scale for k, g in grads.items()}
for k, g in grads.items():
self.m[k] = self.b1 * self.m[k] + (1 - self.b1) * g
self.v[k] = self.b2 * self.v[k] + (1 - self.b2) * (g * g)
m_hat = self.m[k] / (1 - self.b1 ** self.t)
v_hat = self.v[k] / (1 - self.b2 ** self.t)
self.params[k] -= self.lr * m_hat / (np.sqrt(v_hat) + self.eps)
def block_backward(blk, cache, dY, m, B, K, D, H, HEAD):
"""Backward through one block. dY: gradient on block output (B,K,D).
Returns (grads_prefix, dXin) where grads_prefix keys are block-local
('Wq','Wk',...) and dXin is gradient on block input."""
cur, Q, K_, V_, q, k, v, scores, attn, ctx, attn_out, h1, act, h2, Y = cache
g = {}
dattn_out = dY.copy()
dh2 = dY.copy()
g['W2'] = act.reshape(-1, D * 2).T @ dh2.reshape(-1, D)
g['b2'] = dh2.reshape(-1, D).sum(axis=0)
dact = dh2 @ blk.W2.T
dh1 = dact * (1 - act ** 2)
g['W1'] = attn_out.reshape(-1, D).T @ dh1.reshape(-1, D * 2)
g['b1'] = dh1.reshape(-1, D * 2).sum(axis=0)
dattn_out = dattn_out + dh1 @ blk.W1.T
dctx = dattn_out @ blk.Wo.T
dX = dattn_out.copy() # residual 1
g['Wo'] = ctx.reshape(B * K, D).T @ dattn_out.reshape(B * K, D)
dctx = dctx.reshape(B, K, H, HEAD).transpose(0, 2, 1, 3)
dv = attn.transpose(0, 1, 3, 2) @ dctx
dattn = dctx @ v.transpose(0, 1, 3, 2)
dscores = attn * (dattn - (dattn * attn).sum(axis=-1, keepdims=True))
dscores = np.where(m.mask, 0.0, dscores)
dscores = dscores / np.sqrt(HEAD)
dq = dscores @ k
dk = dscores.transpose(0, 1, 3, 2) @ q
dq = dq.transpose(0, 2, 1, 3).reshape(B, K, D)
dk = dk.transpose(0, 2, 1, 3).reshape(B, K, D)
dv = dv.transpose(0, 2, 1, 3).reshape(B, K, D)
g['Wq'] = cur.reshape(B * K, D).T @ dq.reshape(B * K, D)
g['Wk'] = cur.reshape(B * K, D).T @ dk.reshape(B * K, D)
g['Wv'] = cur.reshape(B * K, D).T @ dv.reshape(B * K, D)
dX = dX + dq @ blk.Wq.T + dk @ blk.Wk.T + dv @ blk.Wv.T
return g, dX
def backward(m, cache, targets):
"""Proper backprop through all blocks + embeddings.
targets: (B, K) - for each window position j, the next token arr[s+j+1].
Logits (B, K, V) predict each position's next token (causal LM objective).
"""
x, X, caches, Y = cache
B, K, D, H, HEAD = x.shape[0], m.K, m.D, m.H, m.HEAD
V = m.V
grads = {}
logits = Y @ m.Wout + m.bout
probs = np.exp(logits - logits.max(axis=-1, keepdims=True))
probs = probs / probs.sum(axis=-1, keepdims=True)
g = probs.copy()
g[np.arange(B)[:, None], np.arange(K)[None, :], targets] -= 1.0
g = g / (B * K)
grads['Wout'] = Y.reshape(B * K, D).T @ g.reshape(B * K, V)
grads['bout'] = g.reshape(B * K, V).sum(axis=0)
dY = g @ m.Wout.T
# Backward through blocks in reverse
for li in range(m.L - 1, -1, -1):
blk = m.blocks[li]
g_blk, dY = block_backward(blk, caches[li], dY, m, B, K, D, H, HEAD)
for name, arr in g_blk.items():
grads[f'{li}:{name}'] = arr
# embeddings: X = E_tok[x] + E_pos[pos]
grads['E_tok'] = np.zeros_like(m.E_tok)
np.add.at(grads['E_tok'], x, dY)
grads['E_pos'] = dY.sum(axis=0)
return grads
def main():
parts = collect_corpus()
train_files = [p for k, p in parts if k == 'train']
held_files = [p for k, p in parts if k == 'held']
print(f'corpus: {len(train_files)} train, {len(held_files)} held-out')
# ---- vocabulary (M3_CODEC=1 switches to the 64-token learned codec) ----
global V, VOCAB, TOKENS, tokenize
use_codec = os.environ.get('M3_CODEC', '0') == '1'
if use_codec:
codec = make_codec()
TOKENS = codec['tokens']
V = len(TOKENS)
VOCAB = codec['token_to_id']
tokenize = make_codec_tokenize(codec)
is_digits = 'NUM' not in VOCAB
print(f'vocab: codec (len={V}, digits={is_digits})')
vocab_path = 'minds/mid_prophet_m37_vocab.txt' if is_digits else 'minds/mid_prophet_m32_vocab.txt'
else:
V = len(TOKENS)
print(f'vocab: 28-token (len={V})')
vocab_path = 'minds/mid_prophet_m3_vocab.txt'
big = []
for p in train_files:
try:
src = open(p, encoding='utf-8', errors='replace').read()
big.extend(tokenize(src))
except Exception:
pass
# Corpus Factory (Phase II): verified synthetic programs. Primaries and
# semantic-equivalence variants only; mutants are NOT LM training text.
factory_path = os.environ.get('M3_FACTORY')
n_factory = 0
if factory_path:
import json
with open(factory_path, encoding='utf-8') as f:
for line in f:
line = line.strip()
if not line:
continue
rec = json.loads(line)
big.extend(tokenize(rec['src']))
for v in rec.get('variants', []):
big.extend(tokenize(v['src']))
n_factory += 1
print(f'factory corpus: {factory_path} ({n_factory} programs)')
print(f'total train tokens: {len(big)}')
os.makedirs('minds', exist_ok=True)
with open(vocab_path, 'w') as f:
f.write(f'# vocab = {V}\n')
for t, idx in VOCAB.items():
f.write(f'{idx}\t{t}\n')
# ---- config (capacity is the only thing that changes between runs) ----
K = int(os.environ.get('M3_K', 64))
D = int(os.environ.get('M3_D', 48))
H = int(os.environ.get('M3_H', 6))
L = int(os.environ.get('M3_L', 2))
assert D % H == 0
BATCH = int(os.environ.get('M3_BATCH', 128))
STEPS = int(os.environ.get('M3_STEPS', 2000))
EVAL_EVERY = int(os.environ.get('M3_EVAL_EVERY', 400))
LR = float(os.environ.get('M3_LR', 0.005))
TAG = os.environ.get('M3_TAG', 'm31')
# ---------------------------------------------------------------------
rng = np.random.RandomState(11)
m = M3(V, K, D, H, L, rng)
m.bout = np.log((np.bincount(np.array(big, dtype=np.int32), minlength=V) + 1.0) / len(big))
print(f'arch: K={K} D={D} H={H} L={L} V={V} params~{m.n_params()}')
arr = np.array(big, dtype=np.int32)
n = len(arr)
params = m.params_map()
opt = AdamOpt(params, lr=LR)
for step in range(STEPS):
starts = rng.randint(0, n - K, size=BATCH)
xs = np.stack([arr[s:s + K] for s in starts])
targets = np.stack([arr[s + 1:s + K + 1] for s in starts])
logits, cache = m.forward(xs)
grads = backward(m, cache, targets)
opt.step(grads, max_norm=float(os.environ.get('M3_CLIP', '0') or 0) or None)
if step % EVAL_EVERY == 0 or step == STEPS - 1:
preds = logits.argmax(axis=-1)
acc = (preds == targets).mean() * 100
print(f' step {step:>4d}: batch-train-acc = {acc:.2f}%')
# Save weights
SCALE = 1000
def dump(name, arr_):
flat = arr_.reshape(-1)
return f'[{name}] shape={list(arr_.shape)} ' + ','.join(str(int(round(float(x) * SCALE))) for x in flat) + '\n'
w_path = f'minds/mid_prophet_{TAG}_w.txt'
with open(w_path, 'w') as f:
f.write(f'vocab={V} k={K} d={D} h={H} head={m.HEAD} layers={L} scale={SCALE} arch=transformer\n')
for name, arr_ in params.items():
f.write(dump(name, arr_))
# Held-out
print('\n=== held-out ===')
held_docs = []
for p in held_files:
try:
held_docs.append((os.path.basename(p),
open(p, encoding='utf-8', errors='replace').read()))
except Exception:
pass
factory_holdout = os.environ.get('M3_FACTORY_HOLDOUT')
if factory_holdout:
import json
parts_h = []
with open(factory_holdout, encoding='utf-8') as f:
for line in f:
line = line.strip()
if not line:
continue
rec = json.loads(line)
parts_h.append(rec['src'])
# short programs (<K tokens): concatenate into one stream so that
# sliding-window evaluation still has full windows
held_docs.append(('factory_test', '\n'.join(parts_h)))
print(f'factory holdout: {factory_holdout} ({len(parts_h)} programs, combined stream)')
val_total = 0
correct_total = 0
for name, text in held_docs:
tok = tokenize(text)
if len(tok) < K + 1: continue
arr_h = np.array(tok, dtype=np.int32)
# non-overlapping windows + chunked forwards (memory-safe for big K/D/L)
idx_all = np.arange(K, len(arr_h), K)
c_sum = 0
t_sum = 0
for s0 in range(0, len(idx_all), 128):
chunk = idx_all[s0:s0 + 128]
wins = np.stack([arr_h[chunk - K + j] for j in range(K)], axis=1)
logits, _ = m.forward(wins)
preds = logits.argmax(axis=-1)
targets = np.stack([arr_h[chunk - K + 1 + j] for j in range(K)], axis=1)
c_sum += int((preds == targets).sum())
t_sum += int(preds.size)
val_total += t_sum
correct_total += c_sum
print(f' held {name}: {c_sum}/{t_sum} = {c_sum*100/max(1,t_sum):.2f}%')
if val_total:
print(f'\noverall: {correct_total}/{val_total} = {correct_total*100/val_total:.2f}%')
else:
print('\nno held-out files (all seeds in training)')
with open(f'minds/mid_prophet_{TAG}_meta.txt', 'w') as f:
f.write(f'V={V}\nK={K}\nD={D}\nH={H}\nHEAD={m.HEAD}\nL={L}\n')
f.write(f'train_tokens={n}\nsteps={STEPS}\nLR={LR}\nbatch={BATCH}\n')
if __name__ == '__main__':
main() |