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26.5 kB
| import json | |
| from pathlib import Path | |
| from typing import Union, Dict, Optional | |
| def gqa_model_theoretical_flops( | |
| config_path: Union[str, Path], | |
| seq_len: int = 0, | |
| gen_len: int = 1024, | |
| batch_size: int = 1, | |
| prefill_logits: str = "all", # "all" | "last" | "none" | |
| ) -> Dict[str, float]: | |
| """ | |
| Compute theoretical FLOPs for an LLM with GQA given its Hugging Face config.json. | |
| Assumptions (dense Transformer, forward only): | |
| - 2 FLOPs per multiply-add. | |
| - Attention = dense GQA: Q & O project to d_model; K/V project to n_kv_heads * d_k | |
| where d_k = d_model / n_heads. | |
| - Attention core cost includes QK^T and softmax(QK^T) @ V. | |
| - MLP = gated (SwiGLU-like): two "up" matmuls + one "down" matmul. (handles special | |
| cases of llama-4 and gpt-oss) | |
| - LM head (final logits) included; at prefill you can count logits for: | |
| * "all": logits for every prompt token (matches HF's default forward outputs), | |
| * "last": logits only for last prompt token (some gens do this), | |
| * "none": if you never materialize logits at prefill. | |
| At decode, logits are computed every step. | |
| Returns (TFLOPs): | |
| dict with detailed breakdown for prefill, decode, totals. | |
| """ | |
| # ---- load config ---- | |
| if "Ruyi" in config_path: | |
| import re | |
| pattern = re.compile(r'(\d+(?:\.\d+)?)\s*(?:B|billion)', re.IGNORECASE) | |
| match = pattern.search(config_path) | |
| config_path = config_path.replace(match.group(0), "7B") | |
| cfg_path = Path(config_path) | |
| if cfg_path.is_dir(): | |
| cfg_path = cfg_path / "config.json" | |
| with open(cfg_path, "r") as f: | |
| cfg = json.load(f) | |
| if "gemma-3" in config_path: | |
| import re | |
| pattern = re.compile(r'(\d+(?:\.\d+)?)\s*(?:B|billion)', re.IGNORECASE) | |
| match = pattern.search(config_path) | |
| param_count = float(match.group(1)) | |
| if param_count >= 4: | |
| cfg = cfg["text_config"] | |
| cfg["vocab_size"] = 262208 | |
| if param_count == 4: cfg["num_attention_heads"] = 8; cfg["num_key_value_heads"] = 4 | |
| elif param_count == 12: cfg["num_attention_heads"] = 16; cfg["num_key_value_heads"] = 8 | |
| elif param_count == 27: cfg["num_attention_heads"] = 32; cfg["num_key_value_heads"] = 16 | |
| if "Llama-4" in config_path: | |
| cfg = cfg["text_config"] | |
| # ---- required hyperparams ---- | |
| d_model = int(cfg["hidden_size"]) | |
| n_layers = int(cfg.get("num_hidden_layers", cfg.get("n_layer"))) if "Ruyi" not in config_path else int(match.group(1)) * 4 | |
| n_heads = int(cfg.get("num_attention_heads", cfg.get("n_head"))) | |
| n_kv_heads = int(cfg.get("num_key_value_heads", n_heads)) | |
| if "Llama-4" in config_path: d_ff = cfg["intermediate_size_mlp"] | |
| elif ("Qwen1.5" in config_path or "Qwen2-" in config_path) and "B-A" in config_path: | |
| d_ff = cfg["intermediate_size"] + cfg["shared_expert_intermediate_size"] | |
| else: d_ff = int(cfg.get("intermediate_size", cfg.get("ffn_hidden_size"))) # llama-4 uses intermediate_size_mlp for main mlp | |
| vocab_size = int(cfg["vocab_size"]) | |
| # per-head dimension (assume divisible) | |
| d_k = d_model // n_heads | |
| kv_dim = n_kv_heads * d_k | |
| B = batch_size | |
| L = seq_len | |
| T = gen_len | |
| # ---- helpers (FLOPs, not TFLOPs) ---- | |
| # Projections per layer for a sequence of length L | |
| # Q: 2 * B * L * d_model * d_model | |
| # O: same | |
| # K,V: 2 * B * L * d_model * kv_dim each | |
| def proj_flops(L_tokens: int) -> int: | |
| q = 2 * B * L_tokens * d_model * d_model | |
| o = 2 * B * L_tokens * d_model * d_model | |
| k = 2 * B * L_tokens * d_model * kv_dim | |
| v = 2 * B * L_tokens * d_model * kv_dim | |
| return q + k + v + o | |
| # Attention core per layer | |
| # Prefill (quadratic): QK^T + (softmax@V) ≈ 4 * B * n_heads * L^2 * d_k | |
| # Decode (one step over cache length C): ≈ 4 * B * n_heads * C * d_k | |
| def attn_core_prefill_flops(L_tokens: int) -> int: | |
| return 4 * B * n_heads * (L_tokens ** 2) * d_k | |
| def attn_core_decode_flops(cache_len: int) -> int: | |
| return 4 * B * n_heads * cache_len * d_k | |
| # MLP per layer | |
| # Two up matmuls + one down: 2*B*L*d_model*d_ff + 2*B*L*d_model*d_ff + 2*B*L*d_ff*d_model = 6*B*L*d_model*d_ff | |
| def mlp_flops(L_tokens: int) -> int: | |
| # gpt-oss does not use gate function (6 → 4), registers per-expert intermediate size | |
| if "gpt-oss" in config_path: return 4 * B * L_tokens * d_model * d_ff * int(cfg["num_experts_per_tok"]) | |
| # llama-4 use 2-layer mlp without gating on attn score, before the main mlp | |
| elif "Llama-4" in config_path: return B * L_tokens * d_model * (6 * d_ff + 4 * int(cfg["intermediate_size"])) | |
| else: return 6 * B * L_tokens * d_model * d_ff | |
| # LM head (final linear to vocab) for N tokens: 2 * B * N * d_model * vocab_size | |
| def lm_head_flops(num_tokens: int) -> int: | |
| return 2 * B * num_tokens * d_model * vocab_size | |
| # ---- prefill (length L) ---- | |
| proj_prefill_per_layer = proj_flops(L) | |
| attn_prefill_per_layer = attn_core_prefill_flops(L) | |
| mlp_prefill_per_layer = mlp_flops(L) | |
| stack_prefill = n_layers * (proj_prefill_per_layer + attn_prefill_per_layer + mlp_prefill_per_layer) | |
| if prefill_logits == "all": | |
| lm_prefill = lm_head_flops(L) | |
| elif prefill_logits == "last": | |
| lm_prefill = lm_head_flops(1) | |
| elif prefill_logits == "none": | |
| lm_prefill = 0 | |
| else: | |
| raise ValueError("prefill_logits must be one of {'all','last','none'}") | |
| prefill_total = stack_prefill + lm_prefill | |
| # ---- decode (T steps) ---- | |
| # For each step, projections/MLP are for 1 new token. | |
| proj_decode_per_layer_per_step = proj_flops(1) | |
| mlp_decode_per_layer_per_step = mlp_flops(1) | |
| # Attention core sums over growing cache lengths: L, L+1, ..., L+T-1 | |
| # Sum_{t=0..T-1} 4 * B * n_heads * (L + t) * d_k = 4 * B * n_heads * d_k * (T*L + T*(T-1)/2) | |
| attn_decode_per_layer_total = 4 * B * n_heads * d_k * (T * L + (T * (T - 1)) // 2) | |
| stack_decode = n_layers * ( | |
| T * (proj_decode_per_layer_per_step + mlp_decode_per_layer_per_step) + attn_decode_per_layer_total | |
| ) | |
| # Logits at each decode step | |
| lm_decode = lm_head_flops(T) | |
| decode_total = stack_decode + lm_decode | |
| # ---- packing results (TFLOPs) ---- | |
| toT = lambda x: x / 1e12 | |
| results = { | |
| # Inputs | |
| "batch_size": B, | |
| "seq_len": L, | |
| "gen_len": T, | |
| "hidden_size": d_model, | |
| "num_layers": n_layers, | |
| "num_heads": n_heads, | |
| "num_kv_heads": n_kv_heads, | |
| "intermediate_size": d_ff, | |
| "vocab_size": vocab_size, | |
| "prefill_logits_mode": prefill_logits, | |
| # Prefill breakdown | |
| "prefill_stack_TFLOPs": toT(stack_prefill), | |
| "prefill_proj_TFLOPs": toT(n_layers * proj_prefill_per_layer), | |
| "prefill_attn_core_TFLOPs": toT(n_layers * attn_prefill_per_layer), | |
| "prefill_mlp_TFLOPs": toT(n_layers * mlp_prefill_per_layer), | |
| "prefill_lm_head_TFLOPs": toT(lm_prefill), | |
| "prefill_total_TFLOPs": toT(prefill_total), | |
| # Decode breakdown | |
| "decode_stack_TFLOPs": toT(stack_decode), | |
| "decode_proj_TFLOPs": toT(n_layers * T * proj_decode_per_layer_per_step), | |
| "decode_attn_core_TFLOPs": toT(n_layers * attn_decode_per_layer_total), | |
| "decode_mlp_TFLOPs": toT(n_layers * T * mlp_decode_per_layer_per_step), | |
| "decode_lm_head_TFLOPs": toT(lm_decode), | |
| "decode_total_TFLOPs": toT(decode_total), | |
| # Totals | |
| "request_total_TFLOPs": toT(prefill_total + decode_total), | |
| "avg_decode_TFLOPs_per_token": toT(decode_total / max(T, 1)), | |
| } | |
| return results | |
| def mla_model_theoretical_flops( | |
| config_path: Union[str, Path], | |
| seq_len: int = 0, | |
| gen_len: int = 1024, | |
| batch_size: int = 1, | |
| prefill_logits: str = "all", # "all" | "last" | "none" | |
| attention_type: Optional[str] = None, # "mha" | "mla" | None (auto-detect) | |
| mla_latents: Optional[int] = None, | |
| mla_mode: str = "reuse", # "reuse" | "recompute" | |
| ) -> Dict[str, float]: | |
| """ | |
| Compute theoretical FLOPs (TFLOPs) for DeepSeek-R1 (or similar) inference. | |
| Key points & assumptions (be sure to read): | |
| - This function supports both classic dense Multi-Head Attention (MHA) | |
| and DeepSeek's Multi-Head Latent Attention (MLA). MLA reduces the | |
| attention core from O(L^2) to O(L * M) where M is the number of latent | |
| tokens (per head or global depending on implementation). See DeepSeek-V2/V3 papers. | |
| MLA also admits two execution schemes: 'reuse' (compute latent KV once at prefill | |
| and reuse during decode) and 'recompute' (recompute / update latents per step). | |
| The hardware analysis and community descriptions motivated these cost models. | |
| - MoE MLP: we model a single shared expert (always executed) plus `num_experts_per_tok` | |
| *activated* experts per token (as reported in the config). We expose separate | |
| FLOP entries for shared vs activated experts. | |
| - Projection FLOPs follow your previous convention: 2 FLOPs per multiply-add, | |
| and we keep the same projection accounting for Q/K/V/O. The attention *core* cost | |
| is replaced with MLA formulas when used. | |
| - Because MLA variants differ in implementation details across repos, you can pass | |
| `mla_latents` to set the latent length (if None a conservative default is used). | |
| The default is chosen to reflect a moderate compression (an inferrable but tunable value). | |
| - All counts are for forward-only inference, and result units are TFLOPs. | |
| Parameters: | |
| mla_latents: recommended to pass a locale-specific sensible value (e.g., 64, 128, 256). | |
| If None, the function will pick a conservative default: min(256, max(1, seq_len // 16)). | |
| mla_mode: "reuse" (default) counts the one-time cost to build latents at prefill and | |
| then low-cost per-step decode attention against the smaller latent set. | |
| "recompute" falls back to recomputing compressed latents per decode step | |
| — yielding higher compute but lower memory footprint (useful to model | |
| alternate execution strategies). See hardware-centric analysis. | |
| """ | |
| cfg_path = Path(config_path) | |
| if cfg_path.is_dir(): | |
| cfg_path = cfg_path / "config.json" | |
| with open(cfg_path, "r") as f: | |
| cfg = json.load(f) | |
| # ---- required hyperparams ---- | |
| d_model = int(cfg["hidden_size"]) | |
| n_layers = int(cfg["num_hidden_layers"]) | |
| n_heads = int(cfg["num_attention_heads"]) | |
| n_kv_heads = int(cfg.get("num_key_value_heads", n_heads)) | |
| d_ff = int(cfg.get("moe_intermediate_size", cfg.get("intermediate_size"))) | |
| vocab_size = int(cfg["vocab_size"]) | |
| # MoE-specific | |
| n_experts_total = int(cfg.get("n_routed_experts", cfg.get("num_experts", cfg.get("num_local_experts", 0)))) | |
| n_shared_experts = int(cfg.get("n_shared_experts", cfg.get("n_shared_experts", 0))) | |
| n_experts_per_tok = int(cfg.get("num_experts_per_tok", cfg.get("num_experts_per_tok", 0))) | |
| # Detect/override attention type: | |
| cfg_model_type = cfg.get("model_type", "").lower() | |
| if attention_type is None: | |
| # If model type contains deepseek or config contains MLA-related fields, default to mla | |
| if "deepseek" in cfg_model_type or cfg.get("moa") or cfg.get("n_group") is not None: | |
| attention_type = "mla" | |
| else: | |
| attention_type = "mha" | |
| # MLA default latent length (tunable). MLA papers/reports show M << L; choose conservative default. | |
| if mla_latents is None: | |
| mla_latents = int(cfg.get("kv_lora_rank", max(1, min(256, max(1, seq_len // 16))))) | |
| # per-head dimension (assume divisible) | |
| d_k = d_model // n_heads | |
| kv_dim = n_kv_heads * d_k | |
| B = batch_size | |
| L = seq_len | |
| T = gen_len | |
| # ---- helpers (FLOPs, NOT TFLOPs) ---- | |
| # Linear projections per layer for a sequence of length L_tokens. | |
| # Keep original projection accounting for Q, O, K, V (this counts the input linear layers). | |
| def proj_flops(L_tokens: int) -> int: | |
| q = 2 * B * L_tokens * d_model * d_model # Wq : d_model x d_model | |
| o = 2 * B * L_tokens * d_model * d_model # Wo : d_model x d_model (output projection) | |
| # For K and V we keep the same "dense" projection accounting here. MLA adds separate | |
| # compression costs which we model in attention_core_mla below. | |
| k = 2 * B * L_tokens * d_model * kv_dim | |
| v = 2 * B * L_tokens * d_model * kv_dim | |
| return q + k + v + o | |
| # Dense attention core (classic quadratic) | |
| def attn_core_prefill_mha(L_tokens: int) -> int: | |
| # approximate QK^T + softmax@V cost | |
| return 4 * B * n_heads * (L_tokens ** 2) * d_k | |
| def attn_core_decode_mha(cache_len: int) -> int: | |
| return 4 * B * n_heads * cache_len * d_k | |
| # MLA attention core (approximate): replace L^2 with L * M. | |
| # We model two things: | |
| # 1) core: Q @ K_latent^T and softmax@V_latent -> ~ 4 * B * n_heads * L * M * d_k | |
| # 2) one-time compression cost at prefill to build the latent K/V (approximation). | |
| # hardware analyses show there are two execution schemes: re-use (compress once) vs recompute. | |
| # We approximate the one-time compression cost as: 2 * B * L * d_model * (mla_latents / max(1,L)) | |
| # which simplifies to ~ 2 * B * d_model * mla_latents (a compact, tunable approximation). | |
| # See DeepSeek papers and hardware analysis for details. | |
| def attn_core_prefill_mla(L_tokens: int) -> int: | |
| M = mla_latents | |
| core = 4 * B * n_heads * L_tokens * M * d_k | |
| # one-time compress cost (approximation; tunable) | |
| compress = int(2 * B * d_model * M) | |
| return core + compress | |
| def attn_core_decode_mla_reuse(L_tokens: int, T_steps: int) -> int: | |
| # If latents are reused, each decode step attends Q (1 token) against latent keys size M: | |
| # cost per step ~ 4 * B * n_heads * M * d_k | |
| return 4 * B * n_heads * d_k * (T_steps * mla_latents) | |
| def attn_core_decode_mla_recompute(L_tokens: int, T_steps: int) -> int: | |
| # recomputing latents each step approximates back toward classic cost (worse-case). | |
| # fall back to the MHA-like growing-cache sum as conservative upper bound: | |
| return 4 * B * n_heads * d_k * (T_steps * L_tokens + (T_steps * (T_steps - 1)) // 2) | |
| # MLP costs: | |
| # Single expert (SwiGLU-like gated): approx 6 * B * L * d_model * d_ff | |
| def single_expert_flops(L_tokens: int) -> int: | |
| return 6 * B * L_tokens * d_model * d_ff | |
| # MoE MLP breakdown: shared experts (n_shared_experts) executed every token | |
| # plus activated experts (n_experts_per_tok) *per-token* (sparse routing). | |
| # Note: some implementations add extra routing overhead; we ignore the small routing bookkeeping cost here. | |
| def moe_mlp_flops_shared(L_tokens: int) -> int: | |
| # FLOPs for shared (always executed). If config says n_shared_experts>1, multiply accordingly. | |
| return n_shared_experts * single_expert_flops(L_tokens) | |
| def moe_mlp_flops_activated(L_tokens: int) -> int: | |
| # Activated experts per token: each token runs n_experts_per_tok experts (sparse). | |
| return n_experts_per_tok * single_expert_flops(L_tokens) | |
| # LM head | |
| def lm_head_flops(num_tokens: int) -> int: | |
| return 2 * B * num_tokens * d_model * vocab_size | |
| # ---- PREFILL (length L) ---- | |
| proj_prefill_per_layer = proj_flops(L) | |
| if attention_type == "mha": | |
| attn_prefill_per_layer = attn_core_prefill_mha(L) | |
| # no extra MLA compress cost | |
| mla_extra_prefill_per_layer = 0 | |
| elif attention_type == "mla": | |
| attn_prefill_per_layer = attn_core_prefill_mla(L) | |
| # the compression cost is included in attn_core_prefill_mla as 'compress' term | |
| mla_extra_prefill_per_layer = max(0, attn_prefill_per_layer - (4 * B * n_heads * (L ** 2) * d_k)) | |
| else: | |
| raise ValueError("attention_type must be one of {'mha','mla'}") | |
| # MLP (MoE) | |
| mlp_prefill_shared_per_layer = moe_mlp_flops_shared(L) | |
| mlp_prefill_activated_per_layer = moe_mlp_flops_activated(L) | |
| mlp_prefill_per_layer = mlp_prefill_shared_per_layer + mlp_prefill_activated_per_layer | |
| stack_prefill = n_layers * (proj_prefill_per_layer + attn_prefill_per_layer + mlp_prefill_per_layer) | |
| if prefill_logits == "all": | |
| lm_prefill = lm_head_flops(L) | |
| elif prefill_logits == "last": | |
| lm_prefill = lm_head_flops(1) | |
| elif prefill_logits == "none": | |
| lm_prefill = 0 | |
| else: | |
| raise ValueError("prefill_logits must be one of {'all','last','none'}") | |
| prefill_total = stack_prefill + lm_prefill | |
| # ---- DECODE (T steps) ---- | |
| proj_decode_per_layer_per_step = proj_flops(1) | |
| mlp_decode_per_layer_per_step_shared = moe_mlp_flops_shared(1) | |
| mlp_decode_per_layer_per_step_activated = moe_mlp_flops_activated(1) | |
| mlp_decode_per_layer_per_step = mlp_decode_per_layer_per_step_shared + mlp_decode_per_layer_per_step_activated | |
| if attention_type == "mha": | |
| # attention grows with cache: L, L+1, ..., L+T-1 | |
| attn_decode_per_layer_total = 4 * B * n_heads * d_k * (T * L + (T * (T - 1)) // 2) | |
| mla_extra_decode_term = 0 | |
| else: # mla | |
| if mla_mode == "reuse": | |
| attn_decode_per_layer_total = attn_core_decode_mla_reuse(L, T) | |
| mla_extra_decode_term = 0 # compression cost already accounted in prefill | |
| elif mla_mode == "recompute": | |
| attn_decode_per_layer_total = attn_core_decode_mla_recompute(L, T) | |
| # recompute implies we pay full compress-like cost in decode as well; | |
| # approximate by adding the same compress cost per layer per decode (conservative) | |
| per_step_compress = int(2 * B * d_model * mla_latents) | |
| mla_extra_decode_term = n_layers * (per_step_compress * T) | |
| else: | |
| raise ValueError("mla_mode must be one of {'reuse','recompute'}") | |
| stack_decode = n_layers * ( | |
| T * (proj_decode_per_layer_per_step + mlp_decode_per_layer_per_step) + attn_decode_per_layer_total | |
| ) + mla_extra_decode_term | |
| lm_decode = lm_head_flops(T) | |
| decode_total = stack_decode + lm_decode | |
| # ---- pack results (TFLOPs) ---- | |
| toT = lambda x: x / 1e12 | |
| results = { | |
| # Inputs / config readout | |
| "batch_size": B, | |
| "seq_len": L, | |
| "gen_len": T, | |
| "hidden_size": d_model, | |
| "num_layers": n_layers, | |
| "num_heads": n_heads, | |
| "num_kv_heads": n_kv_heads, | |
| "intermediate_size": d_ff, | |
| "vocab_size": vocab_size, | |
| "num_experts_total": n_experts_total, | |
| "num_shared_experts": n_shared_experts, | |
| "num_experts_per_tok": n_experts_per_tok, | |
| "attention_type": attention_type, | |
| "mla_latents": mla_latents if attention_type == "mla" else None, | |
| "mla_mode": mla_mode if attention_type == "mla" else None, | |
| "prefill_logits_mode": prefill_logits, | |
| # Prefill breakdown | |
| "prefill_stack_TFLOPs": toT(stack_prefill), | |
| "prefill_proj_TFLOPs": toT(n_layers * proj_prefill_per_layer), | |
| "prefill_attn_core_TFLOPs": toT(n_layers * attn_prefill_per_layer), | |
| "prefill_mlp_shared_TFLOPs": toT(n_layers * mlp_prefill_shared_per_layer), | |
| "prefill_mlp_activated_TFLOPs": toT(n_layers * mlp_prefill_activated_per_layer), | |
| "prefill_mlp_TFLOPs": toT(n_layers * mlp_prefill_per_layer), | |
| "prefill_lm_head_TFLOPs": toT(lm_prefill), | |
| "prefill_total_TFLOPs": toT(prefill_total), | |
| # Decode breakdown | |
| "decode_stack_TFLOPs": toT(stack_decode), | |
| "decode_proj_TFLOPs": toT(n_layers * T * proj_decode_per_layer_per_step), | |
| "decode_attn_core_TFLOPs": toT(n_layers * attn_decode_per_layer_total), | |
| "decode_mlp_shared_TFLOPs": toT(n_layers * T * mlp_decode_per_layer_per_step_shared), | |
| "decode_mlp_activated_TFLOPs": toT(n_layers * T * mlp_decode_per_layer_per_step_activated), | |
| "decode_mlp_TFLOPs": toT(n_layers * T * mlp_decode_per_layer_per_step), | |
| "decode_lm_head_TFLOPs": toT(lm_decode), | |
| "decode_total_TFLOPs": toT(decode_total), | |
| # Totals | |
| "request_total_TFLOPs": toT(prefill_total + decode_total), | |
| "avg_decode_TFLOPs_per_token": toT(decode_total / max(T, 1)), | |
| } | |
| return results | |
| def qwen3_5_theoretical_flops( | |
| config_path: Union[str, Path], | |
| seq_len: int = 0, | |
| gen_len: int = 1024, | |
| batch_size: int = 1, | |
| prefill_logits: str = "all", # "all" | "last" | "none" | |
| ) -> Dict[str, float]: | |
| # ---- load config ---- | |
| cfg_path = Path(config_path) | |
| if cfg_path.is_dir(): | |
| cfg_path = cfg_path / "config.json" | |
| with open(cfg_path, "r") as f: | |
| cfg = json.load(f) | |
| if "Qwen3.5" in config_path: | |
| cfg = cfg["text_config"] | |
| # ---- required hyperparams ---- | |
| d_model = int(cfg["hidden_size"]) | |
| n_layers = int(cfg.get("num_hidden_layers", cfg.get("n_layer"))) | |
| n_heads = int(cfg.get("num_attention_heads", cfg.get("n_head"))) | |
| n_kv_heads = int(cfg.get("num_key_value_heads", n_heads)) | |
| d_ff = cfg.get("intermediate_size") | |
| if d_ff is None: d_ff = cfg.get("moe_intermediate_size") * cfg.get("num_experts_per_tok") # For MoE variants | |
| d_ff = int(d_ff) | |
| vocab_size = int(cfg["vocab_size"]) | |
| linear_num_key_heads = cfg.get("linear_num_key_heads") | |
| linear_num_value_heads = cfg.get("linear_num_value_heads") | |
| linear_key_head_dim = cfg.get("linear_key_head_dim") | |
| linear_value_head_dim = cfg.get("linear_value_head_dim") | |
| # n_activated_experts = int(cfg.get("num_experts_per_tok", 1)) + int(cfg.get("n_shared_experts", 0)) | |
| # per-head dimension (assume divisible) | |
| d_k = d_model // n_heads | |
| kv_dim = n_kv_heads * d_k | |
| B = batch_size | |
| L = seq_len | |
| T = gen_len | |
| # ---- helpers (FLOPs, not TFLOPs) ---- | |
| # Projections per layer for a sequence of length L | |
| # Q: 2 * B * L * d_model * d_model | |
| # O: same | |
| # K,V: 2 * B * L * d_model * kv_dim each | |
| def proj_flops(L_tokens: int) -> int: | |
| q = 2 * B * L_tokens * d_model * d_model | |
| o = 2 * B * L_tokens * d_model * d_model | |
| k = 2 * B * L_tokens * d_model * kv_dim | |
| v = 2 * B * L_tokens * d_model * kv_dim | |
| return q + k + v + o | |
| # Attention core per layer | |
| # Prefill (quadratic): QK^T + (softmax@V) ≈ 4 * B * n_heads * L^2 * d_k | |
| # Decode (one step over cache length C): ≈ 4 * B * n_heads * C * d_k | |
| def attn_core_prefill_flops(L_tokens: int) -> int: | |
| return 4 * B * n_heads * (L_tokens ** 2) * d_k | |
| def attn_core_decode_flops(cache_len: int) -> int: | |
| return 4 * B * n_heads * cache_len * d_k | |
| # MLP per layer | |
| # Two up matmuls + one down: 2*B*L*d_model*d_ff + 2*B*L*d_model*d_ff + 2*B*L*d_ff*d_model = 6*B*L*d_model*d_ff | |
| def mlp_flops(L_tokens: int) -> int: | |
| if "gpt-oss" in config_path: return 4 * B * L_tokens * d_model * d_ff * int(cfg["num_experts_per_tok"]) # gpt-oss does not use gate function (6 → 4), registers per-expert intermediate size | |
| elif "Llama-4" in config_path: return B * L_tokens * d_model * (6 * d_ff + 4 * int(cfg["intermediate_size"])) # llama-4 use 2-layer mlp without gating on attn score, before the main mlp | |
| else: return 6 * B * L_tokens * d_model * d_ff | |
| # LM head (final linear to vocab) for N tokens: 2 * B * N * d_model * vocab_size | |
| def lm_head_flops(num_tokens: int) -> int: | |
| return 2 * B * num_tokens * d_model * vocab_size | |
| # ---- prefill (length L) ---- | |
| proj_prefill_per_layer = proj_flops(L) | |
| attn_prefill_per_layer = attn_core_prefill_flops(L) | |
| mlp_prefill_per_layer = mlp_flops(L) | |
| # stack_prefill = n_layers * (proj_prefill_per_layer + attn_prefill_per_layer + mlp_prefill_per_layer) | |
| stack_prefill = n_layers // 4 * (proj_prefill_per_layer + attn_prefill_per_layer) # only 1/4 of layers use full attention | |
| def linear_layer_flops(L_tokens): | |
| # proj + gated deltanet, excluding MLP | |
| return L_tokens * d_model * (linear_num_key_heads * linear_key_head_dim * 4 + linear_num_value_heads * linear_value_head_dim * 6 + 4 * linear_num_key_heads) | |
| stack_prefill += n_layers // 4 * 3 * linear_layer_flops(L) # remaining 3/4 linear-attention layers | |
| stack_prefill += n_layers * mlp_prefill_per_layer # MLP is the same across all layers | |
| if prefill_logits == "all": | |
| lm_prefill = lm_head_flops(L) | |
| elif prefill_logits == "last": | |
| lm_prefill = lm_head_flops(1) | |
| elif prefill_logits == "none": | |
| lm_prefill = 0 | |
| else: | |
| raise ValueError("prefill_logits must be one of {'all','last','none'}") | |
| prefill_total = stack_prefill + lm_prefill | |
| # ---- decode (T steps) ---- | |
| # For each step, projections/MLP are for 1 new token. | |
| proj_decode_per_layer_per_step = proj_flops(1) | |
| mlp_decode_per_layer_per_step = mlp_flops(1) | |
| # Attention core sums over growing cache lengths: L, L+1, ..., L+T-1 | |
| # Sum_{t=0..T-1} 4 * B * n_heads * (L + t) * d_k = 4 * B * n_heads * d_k * (T*L + T*(T-1)/2) | |
| attn_decode_per_layer_total = 4 * B * n_heads * d_k * (T * L + (T * (T - 1)) // 2) | |
| # stack_decode = n_layers * ( | |
| # T * (proj_decode_per_layer_per_step + mlp_decode_per_layer_per_step) + attn_decode_per_layer_total | |
| # ) | |
| stack_decode = n_layers // 4 * ( | |
| T * (proj_decode_per_layer_per_step) + attn_decode_per_layer_total | |
| ) | |
| stack_decode += n_layers // 4 * 3 * linear_layer_flops(T) | |
| stack_decode += n_layers * T * mlp_decode_per_layer_per_step | |
| # Logits at each decode step | |
| lm_decode = lm_head_flops(T) | |
| decode_total = stack_decode + lm_decode | |
| # ---- packing results (TFLOPs) ---- | |
| toT = lambda x: x / 1e12 | |
| results = { | |
| # Inputs | |
| "batch_size": B, | |
| "seq_len": L, | |
| "gen_len": T, | |
| # "n_activated_experts": n_activated_experts, | |
| "hidden_size": d_model, | |
| "num_layers": n_layers, | |
| "num_heads": n_heads, | |
| "num_kv_heads": n_kv_heads, | |
| "intermediate_size": d_ff, | |
| "vocab_size": vocab_size, | |
| "prefill_logits_mode": prefill_logits, | |
| "prefill_total_TFLOPs": toT(prefill_total), | |
| "decode_total_TFLOPs": toT(decode_total), | |
| # Totals | |
| "request_total_TFLOPs": toT(prefill_total + decode_total), | |
| "avg_decode_TFLOPs_per_token": toT(decode_total / max(T, 1)), | |
| } | |
| return results | |