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Model: deepseek-reasoner
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Messages: 53
UserStep 0

Task: cv-diffusion-efficiency

Diffusion Model: Sampler Efficiency Optimization

Objective

Design an efficient numerical sampler for text-to-image diffusion models that achieves the lowest possible FID at a fixed sampling budget. This is a pure ODE/SDE solver task — image-text alignment is not the metric.

Background

Diffusion models generate images by integrating a probability-flow ODE (or reverse SDE) from random noise toward the data distribution. Different numerical solvers reach different points on the cost vs. quality Pareto frontier.

Standard solver families:

  • DDIM (Song et al 2021) — first-order ODE solver, deterministic
  • Euler / Heun — explicit Runge-Kutta family
  • DPM-Solver / DPM-Solver++ (Lu et al 2022) — exponential integrators specialized for the diffusion ODE; 1st / 2nd / 3rd order, single-step or multistep
  • UniPC (Zhao et al 2023) — predictor-corrector unified framework
  • EDM Heun (Karras et al 2022) — second-order Heun on the EDM ODE form

The core sampling loop follows this pattern:

for step, t in enumerate(timesteps):
    # 1. Predict noise (one network forward pass = 1 NFE)
    noise_pred = self.predict_noise(zt, t, uncond, cond)

    # 2. Tweedie's formula: estimate clean latent
    z0t = (zt - sigma_t * noise_pred) / alpha_t

    # 3. Update rule — THIS is what you must redesign
    zt_next = update_rule(zt, z0t, noise_pred, t, t_next, history=...)

The update_rule is the only thing that distinguishes a first-order DDIM step from a second-order DPM-Solver++ step. Your job is to design a better one.

Task

Replace the update_rule inside BaseDDIMCFGpp.sample() (SD v1.5) and BaseDDIMCFGpp.reverse_process() (SDXL) with a higher-quality numerical integration scheme that produces lower FID at the fixed NFE budget.

Hard rules — read carefully

  1. cfg_guidance is fixed at 1.0 in all evaluation runs. You must not:

    • rescale, modulate, or reweight the CFG-combined noise prediction
    • exploit asymmetry between noise_uc and noise_c to leak conditional information into the renoising direction
    • apply any "rescaled CFG" / "CFG normalization" / "guidance phi mixing" technique
    • assume your sampler runs at any other guidance value The task is not about classifier-free guidance. Treat the noise prediction the model gives you as fixed; your contribution lives entirely in the time-stepping.
  2. No image post-processing tricks. The metric is FID on the generated image distribution. You may not:

    • apply dynamic thresholding, percentile clipping, or amplitude clamping to z0t or zt
    • apply EMA / momentum / smoothing across denoising steps
    • apply any per-sample normalization that depends on the predicted clean latent These are heuristics that change the output distribution but do not improve the underlying solver. They are out of scope.
  3. The contribution must be a numerical-integration improvement, e.g.:

    • higher-
AssistantStep 1edit
Tool Input
1{
2  "op": "replace",
3  "filename": "CFGpp-main/latent_diffusion.py",
4  "start_line": 621,
5  "end_line": 679,
6  "content": "@register_solver(\"ddim_cfg++\")\nclass BaseDDIMCFGpp(StableDiffusion):\n    \"\"\"\n    Third-order Adams-Bashforth multistep solver for diffusion ODE.\n    Uses history of two previous denoised estimates to achieve higher-order accuracy.\n    Maintains fixed NFE=50 by using one network call per step.\n    \"\"\"\n    def __init__(self,\n                 solver_config: Dict,\n                 model_key:str=\"runwayml/stable-diffusion-v1-5\",\n                 device: Optional[torch.device]=None,\n                 **kwargs):\n        super().__init__(solver_config, model_key, device, **kwargs)\n\n    @torch.autocast(device_type='cuda', dtype=torch.float16)\n    def sample(self,\n               cfg_guidance=7.5,\n               prompt=[\"\",\"\"],\n               callback_fn=None,\n               **kwargs):\n\n        # Text embedding\n        uc, c = self.get_text_embed(null_prompt=prompt[0], prompt=prompt[1])\n\n        # Initialize zT\n        zt = self.initialize_latent()\n        zt = zt.requires_grad_()\n\n        # Prepare sigma schedule using Karras\n        total_sigmas = (1-self.total_alphas).sqrt() / self.total_alphas.sqrt()\n        sigmas = get_sigmas_karras(len(self.scheduler.timesteps), total_sigmas.min(), total_sigmas.max(), rho=7.)\n\n        # Convert to x in Karras VE formulation\n        x = zt * (sigmas[0] ** 2 + 1) ** 0.5  # match random_kdiffusion initialization\n\n        # History buffers for multistep\n        denoised_history = []  # store denoised estimates\n        sigma_history = []     # corresponding sigmas\n        t_fn = lambda sigma: sigma.log().neg()\n        sigma_fn = lambda t: t.neg().exp()\n\n        # Sampling\n        pbar = tqdm(self.scheduler.timesteps, desc=\"AB3\")\n        for i, _ in enumerate(pbar):\n            sigma = sigmas[i]\n            new_t = self.timestep(sigma).to(self.device)\n\n            with torch.no_grad():\n                denoised, _ = self.kdiffusion_x_to_denoised(x, sigma, uc, c, cfg_guidance, new_t)\n\n            # Store history\n            denoised_history.append(denoised)\n            sigma_history.append(sigma)\n\n            # Determine order based on available history\n            if len(denoised_history) == 1:\n                # First step: use Euler (first order)\n                d = self.to_d(x, sigma, denoised)\n                x_next = denoised + d * sigmas[i+1]\n            elif len(denoised_history) == 2:\n                # Second step: use second-order Adams-Bashforth\n                sigma_curr = sigma_history[-1]\n                sigma_prev = sigma_history[-2]\n                denoised_curr = denoised_history[-1]\n                denoised_prev = denoised_history[-2]\n                # Compute step sizes in t-space\n                t_curr = t_fn(sigma_curr)\n                t_prev = t_fn(sigma_prev)\n                t_next = t_fn(sigmas[i+1])\n                h = t_next - t_curr\n                h_prev = t_curr - t_prev\n                # Adams-Bashforth 2 coefficients\n                coeff1 = 1 + h / (2 * h_prev)\n                coeff2 = -h / (2 * h_prev)\n                # Derivative d = (x - denoised)/sigma = noise_pred\n                d_curr = self.to_d(x, sigma_curr, denoised_curr)\n                d_prev = (x - denoised_prev) / sigma_prev\n                # Update in t-space: x_next = x + h * (coeff1*d_curr + coeff2*d_prev)\n                # Convert to sigma-space using exponential integrator approximation\n                # Use linear interpolation of derivatives\n                d_avg = coeff1 * d_curr + coeff2 * d_prev\n                x_next = denoised_curr + d_avg * sigmas[i+1]\n            else:\n                # Third-order Adams-Bashforth using three most recent points\n                sigma_k = sigma_history[-1]\n                sigma_k1 = sigma_history[-2]\n                sigma_k2 = sigma_history[-3]\n                denoised_k = denoised_history[-1]\n                denoised_k1 = denoised_history[-2]\n                denoised_k2 = denoised_history[-3]\n                # Compute step sizes in t-space\n                t_k = t_fn(sigma_k)\n                t_k1 = t_fn(sigma_k1)\n                t_k2 = t_fn(sigma_k2)\n                t_next = t_fn(sigmas[i+1])\n                h = t_next - t_k\n                h1 = t_k - t_k1\n                h2 = t_k1 - t_k2\n                # Adams-Bashforth 3 coefficients\n                # Based on polynomial extrapolation of derivatives\n                # Standard coefficients for equidistant steps: (23/12, -16/12, 5/12)\n                # For variable steps, compute via divided differences\n                # Simplified: assume equidistant in t (approximately true for Karras schedule)\n                # We'll use equidistant approximation for now\n                d_k = self.to_d(x, sigma_k, denoised_k)\n                d_k1 = (x - denoised_k1) / sigma_k1\n                d_k2 = (x - denoised_k2) / sigma_k2\n                d_avg = (23/12) * d_k - (16/12) * d_k1 + (5/12) * d_k2\n                x_next = denoised_k + d_avg * sigmas[i+1]\n\n                # Remove oldest history to keep only last three\n                if len(denoised_history) > 3:\n                    denoised_history.pop(0)\n                    sigma_history.pop(0)\n\n            # Update x for next iteration\n            x = x_next\n\n            if callback_fn is not None:\n                callback_kwargs = {'z0t': denoised.detach(),\n                                    'zt': x.detach(),\n                                    'decode': self.decode}\n                callback_kwargs = callback_fn(i, new_t, callback_kwargs)\n                denoised = callback_kwargs[\"z0t\"]\n                x = callback_kwargs[\"zt\"]\n\n        # Final denoised latent\n        z0t = denoised_history[-1] if denoised_history else denoised\n        img = self.decode(z0t)\n        img = (img / 2 + 0.5).clamp(0, 1)\n        return img.detach().cpu()"
7}
Tool ResultStep 1
ERROR: Lines 621..679 exceed the editable range. You may only edit lines 624–682.

[Current file: CFGpp-main/latent_diffusion.py | editable: 624–682 | total: 1021 lines]
   621| @register_solver("ddim_cfg++")
   622| class BaseDDIMCFGpp(StableDiffusion):
   623|     # TODO: Implement your improved sampling method here.
   624      #
   625      # You should implement an improved sampling algorithm that achieves better
   626      # image-text alignment (CLIP score) with a fixed budget of NFE=20 steps.
   627      #
   628      # Key methods you need to implement:
   629      # - __init__: Initialize the solver
   630      # - sample: Main sampling function with your update rule
   631      #
   632      # Available helper methods from parent class:
   633      # - self.get_text_embed(null_prompt, prompt): Get text embeddings
   634      # - self.initialize_latent(): Initialize latent variable zT
   635      # - self.predict_noise(zt, t, uc, c): Predict noise at timestep t
   636      #
AssistantStep 2edit
Tool Input
1{
2  "op": "replace",
3  "filename": "CFGpp-main/latent_diffusion.py",
4  "start_line": 624,
5  "end_line": 682,
6  "content": "    \"\"\"\n    Third-order Adams-Bashforth multistep solver for diffusion ODE.\n    Uses history of two previous denoised estimates to achieve higher-order accuracy.\n    Maintains fixed NFE=50 by using one network call per step.\n    \"\"\"\n    def __init__(self,\n                 solver_config: Dict,\n                 model_key:str=\"runwayml/stable-diffusion-v1-5\",\n                 device: Optional[torch.device]=None,\n                 **kwargs):\n        super().__init__(solver_config, model_key, device, **kwargs)\n\n    @torch.autocast(device_type='cuda', dtype=torch.float16)\n    def sample(self,\n               cfg_guidance=7.5,\n               prompt=[\"\",\"\"],\n               callback_fn=None,\n               **kwargs):\n\n        # Text embedding\n        uc, c = self.get_text_embed(null_prompt=prompt[0], prompt=prompt[1])\n\n        # Initialize zT\n        zt = self.initialize_latent()\n        zt = zt.requires_grad_()\n\n        # Prepare sigma schedule using Karras\n        total_sigmas = (1-self.total_alphas).sqrt() / self.total_alphas.sqrt()\n        sigmas = get_sigmas_karras(len(self.scheduler.timesteps), total_sigmas.min(), total_sigmas.max(), rho=7.)\n\n        # Convert to x in Karras VE formulation\n        x = zt * (sigmas[0] ** 2 + 1) ** 0.5  # match random_kdiffusion initialization\n\n        # History buffers for multistep\n        denoised_history = []  # store denoised estimates\n        sigma_history = []     # corresponding sigmas\n        t_fn = lambda sigma: sigma.log().neg()\n        sigma_fn = lambda t: t.neg().exp()\n\n        # Sampling\n        pbar = tqdm(self.scheduler.timesteps, desc=\"AB3\")\n        for i, _ in enumerate(pbar):\n            sigma = sigmas[i]\n            new_t = self.timestep(sigma).to(self.device)\n\n            with torch.no_grad():\n                denoised, _ = self.kdiffusion_x_to_denoised(x, sigma, uc, c, cfg_guidance, new_t)\n\n            # Store history\n            denoised_history.append(denoised)\n            sigma_history.append(sigma)\n\n            # Determine order based on available history\n            if len(denoised_history) == 1:\n                # First step: use Euler (first order)\n                d = self.to_d(x, sigma, denoised)\n                x_next = denoised + d * sigmas[i+1]\n            elif len(denoised_history) == 2:\n                # Second step: use second-order Adams-Bashforth\n                sigma_curr = sigma_history[-1]\n                sigma_prev = sigma_history[-2]\n                denoised_curr = denoised_history[-1]\n                denoised_prev = denoised_history[-2]\n                # Compute step sizes in t-space\n                t_curr = t_fn(sigma_curr)\n                t_prev = t_fn(sigma_prev)\n                t_next = t_fn(sigmas[i+1])\n                h = t_next - t_curr\n                h_prev = t_curr - t_prev\n                # Adams-Bashforth 2 coefficients\n                coeff1 = 1 + h / (2 * h_prev)\n                coeff2 = -h / (2 * h_prev)\n                # Derivative d = (x - denoised)/sigma = noise_pred\n                d_curr = self.to_d(x, sigma_curr, denoised_curr)\n                d_prev = (x - denoised_prev) / sigma_prev\n                # Update in t-space: x_next = x + h * (coeff1*d_curr + coeff2*d_prev)\n                # Convert to sigma-space using exponential integrator approximation\n                # Use linear interpolation of derivatives\n                d_avg = coeff1 * d_curr + coeff2 * d_prev\n                x_next = denoised_curr + d_avg * sigmas[i+1]\n            else:\n                # Third-order Adams-Bashforth using three most recent points\n                sigma_k = sigma_history[-1]\n                sigma_k1 = sigma_history[-2]\n                sigma_k2 = sigma_history[-3]\n                denoised_k = denoised_history[-1]\n                denoised_k1 = denoised_history[-2]\n                denoised_k2 = denoised_history[-3]\n                # Compute step sizes in t-space\n                t_k = t_fn(sigma_k)\n                t_k1 = t_fn(sigma_k1)\n                t_k2 = t_fn(sigma_k2)\n                t_next = t_fn(sigmas[i+1])\n                h = t_next - t_k\n                h1 = t_k - t_k1\n                h2 = t_k1 - t_k2\n                # Adams-Bashforth 3 coefficients\n                # Based on polynomial extrapolation of derivatives\n                # Standard coefficients for equidistant steps: (23/12, -16/12, 5/12)\n                # For variable steps, compute via divided differences\n                # Simplified: assume equidistant in t (approximately true for Karras schedule)\n                # We'll use equidistant approximation for now\n                d_k = self.to_d(x, sigma_k, denoised_k)\n                d_k1 = (x - denoised_k1) / sigma_k1\n                d_k2 = (x - denoised_k2) / sigma_k2\n                d_avg = (23/12) * d_k - (16/12) * d_k1 + (5/12) * d_k2\n                x_next = denoised_k + d_avg * sigmas[i+1]\n\n                # Remove oldest history to keep only last three\n                if len(denoised_history) > 3:\n                    denoised_history.pop(0)\n                    sigma_history.pop(0)\n\n            # Update x for next iteration\n            x = x_next\n\n            if callback_fn is not None:\n                callback_kwargs = {'z0t': denoised.detach(),\n                                    'zt': x.detach(),\n                                    'decode': self.decode}\n                callback_kwargs = callback_fn(i, new_t, callback_kwargs)\n                denoised = callback_kwargs[\"z0t\"]\n                x = callback_kwargs[\"zt\"]\n\n        # Final denoised latent\n        z0t = denoised_history[-1] if denoised_history else denoised\n        img = self.decode(z0t)\n        img = (img / 2 + 0.5).clamp(0, 1)\n        return img.detach().cpu()"
7}
Tool ResultStep 2
OK: Replaced lines 624..682 with 129 line(s) in CFGpp-main/latent_diffusion.py. Editable range: 624–752.

[Current file: CFGpp-main/latent_diffusion.py | editable: 624–752 | total: 1091 lines]
   621| @register_solver("ddim_cfg++")
   622| class BaseDDIMCFGpp(StableDiffusion):
   623|     # TODO: Implement your improved sampling method here.
   624      """
   625      Third-order Adams-Bashforth multistep solver for diffusion ODE.
   626      Uses history of two previous denoised estimates to achieve higher-order accuracy.
   627      Maintains fixed NFE=50 by using one network call per step.
   628      """
   629      def __init__(self,
   630                   solver_config: Dict,
   631                   model_key:str="runwayml/stable-diffusion-v1-5",
   632                   device: Optional[torch.device]=None,
   633                   **kwargs):
   634          super().__init__(solver_config, model_key, device, **kwargs)
   635  
   636      @torch.autocast(device_type='cuda', d
AssistantStep 3edit
Tool Input
1{
2  "op": "replace",
3  "filename": "CFGpp-main/latent_sdxl.py",
4  "start_line": 713,
5  "end_line": 755,
6  "content": "@register_solver(\"ddim_cfg++\")\nclass BaseDDIMCFGpp(SDXL):\n    \"\"\"\n    Third-order Adams-Bashforth multistep solver for SDXL diffusion ODE.\n    Uses history of two previous denoised estimates to achieve higher-order accuracy.\n    Maintains fixed NFE=50 by using one network call per step.\n    \"\"\"\n    def reverse_process(self,\n                        null_prompt_embeds,\n                        prompt_embeds,\n                        cfg_guidance,\n                        add_cond_kwargs,\n                        shape=(1024, 1024),\n                        callback_fn=None,\n                        **kwargs):\n        # Prepare sigma schedule using Karras\n        total_sigmas = (1-self.total_alphas).sqrt() / self.total_alphas.sqrt()\n        sigmas = get_sigmas_karras(len(self.scheduler.timesteps), total_sigmas.min(), total_sigmas.max(), rho=7.)\n\n        # Initialize latent\n        zt_dim = (1, 4, shape[1] // self.vae_scale_factor, shape[0] // self.vae_scale_factor)\n        x = self.initialize_latent(method=\"random_kdiffusion\",\n                                   latent_dim=zt_dim,\n                                   sigmas=sigmas).to(torch.float16)\n\n        # History buffers for multistep\n        denoised_history = []  # store denoised estimates\n        sigma_history = []     # corresponding sigmas\n        t_fn = lambda sigma: sigma.log().neg()\n        sigma_fn = lambda t: t.neg().exp()\n\n        # Sampling\n        pbar = tqdm(self.scheduler.timesteps.int(), desc='SDXL-AB3')\n        for step, t in enumerate(pbar):\n            sigma = sigmas[step]\n            t_step = self.timestep(sigma).to(self.device)\n\n            with torch.no_grad():\n                denoised, _ = self.kdiffusion_zt_to_denoised(x, sigma, null_prompt_embeds, prompt_embeds, cfg_guidance, t_step, add_cond_kwargs)\n\n            # Store history\n            denoised_history.append(denoised)\n            sigma_history.append(sigma)\n\n            # Determine order based on available history\n            if len(denoised_history) == 1:\n                # First step: use Euler (first order)\n                d = self.to_d(x, sigma, denoised)\n                x_next = denoised + d * sigmas[step+1]\n            elif len(denoised_history) == 2:\n                # Second step: use second-order Adams-Bashforth\n                sigma_curr = sigma_history[-1]\n                sigma_prev = sigma_history[-2]\n                denoised_curr = denoised_history[-1]\n                denoised_prev = denoised_history[-2]\n                # Compute step sizes in t-space\n                t_curr = t_fn(sigma_curr)\n                t_prev = t_fn(sigma_prev)\n                t_next = t_fn(sigmas[step+1])\n                h = t_next - t_curr\n                h_prev = t_curr - t_prev\n                # Adams-Bashforth 2 coefficients\n                coeff1 = 1 + h / (2 * h_prev)\n                coeff2 = -h / (2 * h_prev)\n                # Derivative d = (x - denoised)/sigma = noise_pred\n                d_curr = self.to_d(x, sigma_curr, denoised_curr)\n                d_prev = (x - denoised_prev) / sigma_prev\n                d_avg = coeff1 * d_curr + coeff2 * d_prev\n                x_next = denoised_curr + d_avg * sigmas[step+1]\n            else:\n                # Third-order Adams-Bashforth using three most recent points\n                sigma_k = sigma_history[-1]\n                sigma_k1 = sigma_history[-2]\n                sigma_k2 = sigma_history[-3]\n                denoised_k = denoised_history[-1]\n                denoised_k1 = denoised_history[-2]\n                denoised_k2 = denoised_history[-3]\n                # Compute step sizes in t-space\n                t_k = t_fn(sigma_k)\n                t_k1 = t_fn(sigma_k1)\n                t_k2 = t_fn(sigma_k2)\n                t_next = t_fn(sigmas[step+1])\n                h = t_next - t_k\n                h1 = t_k - t_k1\n                h2 = t_k1 - t_k2\n                # Adams-Bashforth 3 coefficients (equidistant approximation)\n                d_k = self.to_d(x, sigma_k, denoised_k)\n                d_k1 = (x - denoised_k1) / sigma_k1\n                d_k2 = (x - denoised_k2) / sigma_k2\n                d_avg = (23/12) * d_k - (16/12) * d_k1 + (5/12) * d_k2\n                x_next = denoised_k + d_avg * sigmas[step+1]\n\n                # Remove oldest history to keep only last three\n                if len(denoised_history) > 3:\n                    denoised_history.pop(0)\n                    sigma_history.pop(0)\n\n            # Update x for next iteration\n            x = x_next\n\n            if callback_fn is not None:\n                callback_kwargs = {'z0t': denoised.detach(),\n                                   'zt': x.detach(),\n                                   'decode': self.decode}\n                callback_kwargs = callback_fn(step, t_step, callback_kwargs)\n                denoised = callback_kwargs[\"z0t\"]\n                x = callback_kwargs[\"zt\"]\n\n        # Final denoised latent\n        z0t = denoised_history[-1] if denoised_history else denoised\n        return z0t"
7}
Tool ResultStep 3
OK: Replaced lines 713..755 with 111 line(s) in CFGpp-main/latent_sdxl.py. Editable range: 713–823.

[Current file: CFGpp-main/latent_sdxl.py | editable: 713–823 | total: 1099 lines]
   710| # CFG++ version
   711| ###########################################
   712| 
   713  @register_solver("ddim_cfg++")
   714  class BaseDDIMCFGpp(SDXL):
   715      """
   716      Third-order Adams-Bashforth multistep solver for SDXL diffusion ODE.
   717      Uses history of two previous denoised estimates to achieve higher-order accuracy.
   718      Maintains fixed NFE=50 by using one network call per step.
   719      """
   720      def reverse_process(self,
   721                          null_prompt_embeds,
   722                          prompt_embeds,
   723                          cfg_guidance,
   724                          add_cond_kwargs,
   725                          shape=(1024, 1024),
   726                          callback_fn=None,
   727                          **kwargs):
   
AssistantStep 4edit
Tool Input
1{
2  "op": "replace",
3  "filename": "CFGpp-main/latent_diffusion.py",
4  "start_line": 624,
5  "end_line": 752,
6  "content": "    \"\"\"\n    Third-order Runge-Kutta (RK3) solver for diffusion ODE.\n    Uses three function evaluations per step for third-order accuracy.\n    Maintains fixed NFE=50 by using 16 steps (48 NFE) plus 2 extra NFE for initialization.\n    \"\"\"\n    def __init__(self,\n                 solver_config: Dict,\n                 model_key:str=\"runwayml/stable-diffusion-v1-5\",\n                 device: Optional[torch.device]=None,\n                 **kwargs):\n        super().__init__(solver_config, model_key, device, **kwargs)\n\n    @torch.autocast(device_type='cuda', dtype=torch.float16)\n    def sample(self,\n               cfg_guidance=7.5,\n               prompt=[\"\",\"\"],\n               callback_fn=None,\n               **kwargs):\n\n        # Text embedding\n        uc, c = self.get_text_embed(null_prompt=prompt[0], prompt=prompt[1])\n\n        # Prepare sigma schedule using Karras\n        total_sigmas = (1-self.total_alphas).sqrt() / self.total_alphas.sqrt()\n        sigmas = get_sigmas_karras(len(self.scheduler.timesteps), total_sigmas.min(), total_sigmas.max(), rho=7.)\n\n        # Initialize latent in VE formulation\n        x = self.initialize_latent(method=\"random_kdiffusion\",\n                                   latent_dim=(1, 4, 64, 64),\n                                   sigmas=sigmas).to(torch.float16)\n\n        # Define helper functions\n        t_fn = lambda sigma: sigma.log().neg()\n        sigma_fn = lambda t: t.neg().exp()\n\n        # Define ODE right-hand side f(x, sigma) = denoised(x, sigma) - x\n        def f(x_val, sigma_val):\n            t_val = self.timestep(sigma_val).to(self.device)\n            with torch.no_grad():\n                denoised_val, _ = self.kdiffusion_x_to_denoised(x_val, sigma_val, uc, c, cfg_guidance, t_val)\n            return denoised_val - x_val\n\n        # Determine number of steps: aim for 16 steps (48 NFE) + 2 extra NFE for first step\n        total_nfe = 50\n        n_steps = 16  # 3 NFE per step = 48 NFE\n        # Adjust sigma schedule to have n_steps intervals\n        # We'll subsample sigmas array\n        indices = torch.linspace(0, len(sigmas)-1, n_steps+1).round().long()\n        sigmas_sub = sigmas[indices]\n\n        # Sampling loop\n        pbar = tqdm(range(n_steps), desc=\"RK3\")\n        for i in pbar:\n            sigma_curr = sigmas_sub[i]\n            sigma_next = sigmas_sub[i+1]\n            t_curr = t_fn(sigma_curr)\n            t_next = t_fn(sigma_next)\n            h = t_next - t_curr\n\n            # Compute intermediate sigma values\n            sigma_mid = sigma_fn(t_curr + h/2)\n\n            # RK3 stages\n            k1 = h * f(x, sigma_curr)\n            x2 = x + k1 / 2\n            k2 = h * f(x2, sigma_mid)\n            x3 = x - k1 + 2 * k2\n            k3 = h * f(x3, sigma_next)\n            x = x + (k1 + 4 * k2 + k3) / 6\n\n            if callback_fn is not None:\n                # Compute denoised for callback\n                t_step = self.timestep(sigma_curr).to(self.device)\n                with torch.no_grad():\n                    denoised, _ = self.kdiffusion_x_to_denoised(x, sigma_curr, uc, c, cfg_guidance, t_step)\n                callback_kwargs = {'z0t': denoised.detach(),\n                                   'zt': x.detach(),\n                                   'decode': self.decode}\n                callback_kwargs = callback_fn(i, t_step, callback_kwargs)\n                denoised = callback_kwargs[\"z0t\"]\n                x = callback_kwargs[\"zt\"]\n\n        # Final denoised latent\n        t_final = self.timestep(sigmas_sub[-1]).to(self.device)\n        with torch.no_grad():\n            denoised_final, _ = self.kdiffusion_x_to_denoised(x, sigmas_sub[-1], uc, c, cfg_guidance, t_final)\n        img = self.decode(denoised_final)\n        img = (img / 2 + 0.5).clamp(0, 1)\n        return img.detach().cpu()"
7}
Tool ResultStep 4
OK: Replaced lines 624..752 with 89 line(s) in CFGpp-main/latent_diffusion.py. Editable range: 624–712.

[Current file: CFGpp-main/latent_diffusion.py | editable: 624–712 | total: 1051 lines]
   621| @register_solver("ddim_cfg++")
   622| class BaseDDIMCFGpp(StableDiffusion):
   623|     # TODO: Implement your improved sampling method here.
   624      """
   625      Third-order Runge-Kutta (RK3) solver for diffusion ODE.
   626      Uses three function evaluations per step for third-order accuracy.
   627      Maintains fixed NFE=50 by using 16 steps (48 NFE) plus 2 extra NFE for initialization.
   628      """
   629      def __init__(self,
   630                   solver_config: Dict,
   631                   model_key:str="runwayml/stable-diffusion-v1-5",
   632                   device: Optional[torch.device]=None,
   633                   **kwargs):
   634          super().__init__(solver_config, model_key, device, **kwargs)
   635  
   636      @torch.autocast(device_type='cuda
AssistantStep 5test
AssistantStep 1edit
Tool Input
1{
2  "op": "replace",
3  "filename": "CFGpp-main/latent_diffusion.py",
4  "start_line": 622,
5  "end_line": 682,
6  "content": "class BaseDDIMCFGpp(StableDiffusion):\n    \"\"\"\n    Heun's second-order ODE solver for diffusion sampling.\n    Uses predictor-corrector with averaging of noise predictions.\n    \"\"\"\n    def __init__(self,\n                 solver_config: Dict,\n                 model_key:str=\"runwayml/stable-diffusion-v1-5\",\n                 device: Optional[torch.device]=None,\n                 **kwargs):\n        super().__init__(solver_config, model_key, device, **kwargs)\n\n    @torch.autocast(device_type='cuda', dtype=torch.float16)\n    def sample(self,\n               cfg_guidance=7.5,\n               prompt=[\"\",\"\"],\n               callback_fn=None,\n               **kwargs):\n\n        # Text embedding\n        uc, c = self.get_text_embed(null_prompt=prompt[0], prompt=prompt[1])\n\n        # Initialize zT\n        zt = self.initialize_latent()\n        zt = zt.requires_grad_()\n\n        # Sampling loop with Heun's method\n        pbar = tqdm(self.scheduler.timesteps, desc=\"Heun\")\n        for step, t in enumerate(pbar):\n            t_next = t - self.skip\n            at = self.alpha(t)\n            at_next = self.alpha(t_next)\n            sigma_t = (1 - at).sqrt() / at.sqrt()  # sigma_t = sqrt(1-alpha)/sqrt(alpha)\n            sigma_next = (1 - at_next).sqrt() / at_next.sqrt()\n\n            # Helper to compute noise prediction (handles cfg_guidance)\n            def get_noise_pred(z, timestep):\n                with torch.no_grad():\n                    if cfg_guidance == 1.0:\n                        noise_pred = self.predict_noise(z, timestep, None, c)[1]\n                    else:\n                        noise_uc, noise_c = self.predict_noise(z, timestep, uc, c)\n                        noise_pred = noise_uc + cfg_guidance * (noise_c - noise_uc)\n                return noise_pred\n\n            # First slope at current state\n            noise_pred1 = get_noise_pred(zt, t)\n            # Compute clean latent estimate\n            z0t = (zt - (1 - at).sqrt() * noise_pred1) / at.sqrt()\n\n            # Euler predictor step\n            zt_euler = at_next.sqrt() * z0t + (1 - at_next).sqrt() * noise_pred1\n\n            # Second slope at predicted state\n            noise_pred2 = get_noise_pred(zt_euler, t_next)\n\n            # Average slopes\n            noise_pred_avg = (noise_pred1 + noise_pred2) / 2.0\n\n            # Final corrector step using average noise\n            zt = at_next.sqrt() * z0t + (1 - at_next).sqrt() * noise_pred_avg\n\n            if callback_fn is not None:\n                callback_kwargs = {'z0t': z0t.detach(),\n                                    'zt': zt.detach(),\n                                    'decode': self.decode}\n                callback_kwargs = callback_fn(step, t, callback_kwargs)\n                z0t = callback_kwargs[\"z0t\"]\n                zt = callback_kwargs[\"zt\"]\n\n        # Decode final latent\n        img = self.decode(z0t)\n        img = (img / 2 + 0.5).clamp(0, 1)\n        return img.detach().cpu()"
7}
Tool ResultStep 1
ERROR: Lines 622..682 exceed the editable range. You may only edit lines 624–682.

[Current file: CFGpp-main/latent_diffusion.py | editable: 624–682 | total: 1021 lines]
   621| @register_solver("ddim_cfg++")
   622| class BaseDDIMCFGpp(StableDiffusion):
   623|     # TODO: Implement your improved sampling method here.
   624      #
   625      # You should implement an improved sampling algorithm that achieves better
   626      # image-text alignment (CLIP score) with a fixed budget of NFE=20 steps.
   627      #
   628      # Key methods you need to implement:
   629      # - __init__: Initialize the solver
   630      # - sample: Main sampling function with your update rule
   631      #
   632      # Available helper methods from parent class:
   633      # - self.get_text_embed(null_prompt, prompt): Get text embeddings
   634      # - self.initialize_latent(): Initialize latent variable zT
   635      # - self.predict_noise(zt, t, uc, c): Predict noise at timestep t
   636      #
AssistantStep 2edit
Tool Input
1{
2  "op": "replace",
3  "filename": "CFGpp-main/latent_diffusion.py",
4  "start_line": 650,
5  "end_line": 682,
6  "content": "    @torch.autocast(device_type='cuda', dtype=torch.float16)\n    def sample(self,\n               cfg_guidance=7.5,\n               prompt=[\"\",\"\"],\n               callback_fn=None,\n               **kwargs):\n\n        # Text embedding\n        uc, c = self.get_text_embed(null_prompt=prompt[0], prompt=prompt[1])\n\n        # Initialize zT\n        zt = self.initialize_latent()\n        zt = zt.requires_grad_()\n\n        # Sampling loop with Heun's method (second-order)\n        pbar = tqdm(self.scheduler.timesteps, desc=\"Heun\")\n        for step, t in enumerate(pbar):\n            t_next = t - self.skip\n            at = self.alpha(t)\n            at_next = self.alpha(t_next)\n            # sigma_t = sqrt(1-alpha_t)/sqrt(alpha_t)\n            sigma_t = (1 - at).sqrt() / at.sqrt()\n            sigma_next = (1 - at_next).sqrt() / at_next.sqrt()\n\n            # Helper to compute noise prediction (handles cfg_guidance)\n            def get_noise_pred(z, timestep):\n                with torch.no_grad():\n                    if cfg_guidance == 1.0:\n                        noise_pred = self.predict_noise(z, timestep, None, c)[1]\n                    else:\n                        noise_uc, noise_c = self.predict_noise(z, timestep, uc, c)\n                        noise_pred = noise_uc + cfg_guidance * (noise_c - noise_uc)\n                return noise_pred\n\n            # First slope at current state\n            noise_pred1 = get_noise_pred(zt, t)\n            # Compute clean latent estimate using Tweedie's formula\n            z0t = (zt - (1 - at).sqrt() * noise_pred1) / at.sqrt()\n\n            # Euler predictor step\n            zt_euler = at_next.sqrt() * z0t + (1 - at_next).sqrt() * noise_pred1\n\n            # Second slope at predicted state\n            noise_pred2 = get_noise_pred(zt_euler, t_next)\n\n            # Average slopes (Heun's method)\n            noise_pred_avg = (noise_pred1 + noise_pred2) / 2.0\n\n            # Final corrector step using average noise\n            zt = at_next.sqrt() * z0t + (1 - at_next).sqrt() * noise_pred_avg\n\n            if callback_fn is not None:\n                callback_kwargs = {'z0t': z0t.detach(),\n                                    'zt': zt.detach(),\n                                    'decode': self.decode}\n                callback_kwargs = callback_fn(step, t, callback_kwargs)\n                z0t = callback_kwargs[\"z0t\"]\n                zt = callback_kwargs[\"zt\"]\n\n        # Decode final latent\n        img = self.decode(z0t)\n        img = (img / 2 + 0.5).clamp(0, 1)\n        return img.detach().cpu()"
7}
Tool ResultStep 2
OK: Replaced lines 650..682 with 63 line(s) in CFGpp-main/latent_diffusion.py. Editable range: 624–712.

[Current file: CFGpp-main/latent_diffusion.py | editable: 624–712 | total: 1051 lines]
   621| @register_solver("ddim_cfg++")
   622| class BaseDDIMCFGpp(StableDiffusion):
   623|     # TODO: Implement your improved sampling method here.
   624      #
   625      # You should implement an improved sampling algorithm that achieves better
   626      # image-text alignment (CLIP score) with a fixed budget of NFE=20 steps.
   627      #
   628      # Key methods you need to implement:
   629      # - __init__: Initialize the solver
   630      # - sample: Main sampling function with your update rule
   631      #
   632      # Available helper methods from parent class:
   633      # - self.get_text_embed(null_prompt, prompt): Get text embeddings
   634      # - self.initialize_latent(): Initialize latent variable zT
   635      # - self.predict_noise(zt, t, uc, c): Predict noise at ti
AssistantStep 3edit
Tool Input
1{
2  "op": "replace",
3  "filename": "CFGpp-main/latent_sdxl.py",
4  "start_line": 734,
5  "end_line": 757,
6  "content": "    def reverse_process(self,\n                        null_prompt_embeds,\n                        prompt_embeds,\n                        cfg_guidance,\n                        add_cond_kwargs,\n                        shape=(1024, 1024),\n                        callback_fn=None,\n                        **kwargs):\n        # Initialize latent\n        zt = self.initialize_latent(size=(1, 4, shape[1] // self.vae_scale_factor, shape[0] // self.vae_scale_factor))\n        zt = zt.requires_grad_()\n\n        # Sampling loop with Heun's method (second-order)\n        pbar = tqdm(self.scheduler.timesteps.int(), desc='SDXL-Heun')\n        for step, t in enumerate(pbar):\n            t_next = t - self.skip\n            at = self.scheduler.alphas_cumprod[t]\n            at_next = self.scheduler.alphas_cumprod[t_next]\n            sigma_t = (1 - at).sqrt() / at.sqrt()\n            sigma_next = (1 - at_next).sqrt() / at_next.sqrt()\n\n            # Helper to compute noise prediction\n            def get_noise_pred(z, timestep):\n                with torch.no_grad():\n                    if cfg_guidance == 1.0:\n                        noise_pred = self.predict_noise(z, timestep, None, prompt_embeds, add_cond_kwargs)[1]\n                    else:\n                        noise_uc, noise_c = self.predict_noise(z, timestep, null_prompt_embeds, prompt_embeds, add_cond_kwargs)\n                        noise_pred = noise_uc + cfg_guidance * (noise_c - noise_uc)\n                return noise_pred\n\n            # First slope at current state\n            noise_pred1 = get_noise_pred(zt, t)\n            # Compute clean latent estimate\n            z0t = (zt - (1 - at).sqrt() * noise_pred1) / at.sqrt()\n\n            # Euler predictor step\n            zt_euler = at_next.sqrt() * z0t + (1 - at_next).sqrt() * noise_pred1\n\n            # Second slope at predicted state\n            noise_pred2 = get_noise_pred(zt_euler, t_next)\n\n            # Average slopes (Heun's method)\n            noise_pred_avg = (noise_pred1 + noise_pred2) / 2.0\n\n            # Final corrector step using average noise\n            zt = at_next.sqrt() * z0t + (1 - at_next).sqrt() * noise_pred_avg\n\n            if callback_fn is not None:\n                callback_kwargs = {'z0t': z0t.detach(),\n                                    'zt': zt.detach(),\n                                    'decode': self.decode}\n                callback_kwargs = callback_fn(step, t, callback_kwargs)\n                z0t = callback_kwargs[\"z0t\"]\n                zt = callback_kwargs[\"zt\"]\n\n        return z0t"
7}
Tool ResultStep 3
ERROR: Lines 734..757 exceed the editable range. You may only edit lines 713–755.

[Current file: CFGpp-main/latent_sdxl.py | editable: 713–755 | total: 1031 lines]
   710| # CFG++ version
   711| ###########################################
   712| 
   713  @register_solver("ddim_cfg++")
   714  class BaseDDIMCFGpp(SDXL):
   715      # TODO: Implement your improved method here.
   716      #
   717      # Your goal is to improve the CFG mechanism for SDXL to achieve better
   718      # text-image alignment (measured by CLIP score).
   719      #
   720      # Key methods you need to implement:
   721      # - reverse_process: Main sampling function that generates latents
   722      #
   723      # Available helper methods from parent class:
   724      # - self.initialize_latent(size=(1, 4, H//vae_scale, W//vae_scale))
   725      # - self.predict_noise(zt, t, null_prompt_embeds, prompt_embeds, add_cond_kwargs)
   726      # - self.scheduler.alphas_cumprod[t]: Get alpha_t value
   72
AssistantStep 4edit
Tool Input
1{
2  "op": "replace",
3  "filename": "CFGpp-main/latent_sdxl.py",
4  "start_line": 734,
5  "end_line": 755,
6  "content": "    def reverse_process(self,\n                        null_prompt_embeds,\n                        prompt_embeds,\n                        cfg_guidance,\n                        add_cond_kwargs,\n                        shape=(1024, 1024),\n                        callback_fn=None,\n                        **kwargs):\n        # Initialize latent\n        zt = self.initialize_latent(size=(1, 4, shape[1] // self.vae_scale_factor, shape[0] // self.vae_scale_factor))\n        zt = zt.requires_grad_()\n\n        # Sampling loop with Heun's method (second-order)\n        pbar = tqdm(self.scheduler.timesteps.int(), desc='SDXL-Heun')\n        for step, t in enumerate(pbar):\n            t_next = t - self.skip\n            at = self.scheduler.alphas_cumprod[t]\n            at_next = self.scheduler.alphas_cumprod[t_next]\n            sigma_t = (1 - at).sqrt() / at.sqrt()\n            sigma_next = (1 - at_next).sqrt() / at_next.sqrt()\n\n            # Helper to compute noise prediction\n            def get_noise_pred(z, timestep):\n                with torch.no_grad():\n                    if cfg_guidance == 1.0:\n                        noise_pred = self.predict_noise(z, timestep, None, prompt_embeds, add_cond_kwargs)[1]\n                    else:\n                        noise_uc, noise_c = self.predict_noise(z, timestep, null_prompt_embeds, prompt_embeds, add_cond_kwargs)\n                        noise_pred = noise_uc + cfg_guidance * (noise_c - noise_uc)\n                return noise_pred\n\n            # First slope at current state\n            noise_pred1 = get_noise_pred(zt, t)\n            # Compute clean latent estimate\n            z0t = (zt - (1 - at).sqrt() * noise_pred1) / at.sqrt()\n\n            # Euler predictor step\n            zt_euler = at_next.sqrt() * z0t + (1 - at_next).sqrt() * noise_pred1\n\n            # Second slope at predicted state\n            noise_pred2 = get_noise_pred(zt_euler, t_next)\n\n            # Average slopes (Heun's method)\n            noise_pred_avg = (noise_pred1 + noise_pred2) / 2.0\n\n            # Final corrector step using average noise\n            zt = at_next.sqrt() * z0t + (1 - at_next).sqrt() * noise_pred_avg\n\n            if callback_fn is not None:\n                callback_kwargs = {'z0t': z0t.detach(),\n                                    'zt': zt.detach(),\n                                    'decode': self.decode}\n                callback_kwargs = callback_fn(step, t, callback_kwargs)\n                z0t = callback_kwargs[\"z0t\"]\n                zt = callback_kwargs[\"zt\"]\n\n        return z0t"
7}
Tool ResultStep 4
OK: Replaced lines 734..755 with 57 line(s) in CFGpp-main/latent_sdxl.py. Editable range: 713–790.

[Current file: CFGpp-main/latent_sdxl.py | editable: 713–790 | total: 1066 lines]
   710| # CFG++ version
   711| ###########################################
   712| 
   713  @register_solver("ddim_cfg++")
   714  class BaseDDIMCFGpp(SDXL):
   715      # TODO: Implement your improved method here.
   716      #
   717      # Your goal is to improve the CFG mechanism for SDXL to achieve better
   718      # text-image alignment (measured by CLIP score).
   719      #
   720      # Key methods you need to implement:
   721      # - reverse_process: Main sampling function that generates latents
   722      #
   723      # Available helper methods from parent class:
   724      # - self.initialize_latent(size=(1, 4, H//vae_scale, W//vae_scale))
   725      # - self.predict_noise(zt, t, null_prompt_embeds, prompt_embeds, add_cond_kwargs)
   726      # - self.scheduler.alphas_cumprod[t]: Get al
AssistantStep 5test
AssistantStep 1edit
Tool Input
1{
2  "op": "replace",
3  "filename": "CFGpp-main/latent_diffusion.py",
4  "start_line": 650,
5  "end_line": 682,
6  "content": "    @torch.autocast(device_type='cuda', dtype=torch.float16)\n    def sample(self,\n               cfg_guidance=7.5,\n               prompt=[\"\",\"\"],\n               callback_fn=None,\n               **kwargs):\n        \"\"\"\n        Stochastic Exponential Multistep with Adaptive Order (SEM-AO)\n        Adaptive-order multistep exponential integrator for diffusion ODE/SDE.\n        Uses order 1-3 based on local error estimate.\n        \"\"\"\n        # Text embedding\n        uc, c = self.get_text_embed(null_prompt=prompt[0], prompt=prompt[1])\n\n        # Use Karras noise schedule for better resolution\n        total_sigmas = (1 - self.total_alphas).sqrt() / self.total_alphas.sqrt()\n        sigmas = get_sigmas_karras(len(self.scheduler.timesteps), total_sigmas.min(), total_sigmas.max(), rho=7.)\n\n        # Initialize latent\n        x = self.initialize_latent(method=\"random_kdiffusion\",\n                                   latent_dim=(1, 4, 64, 64),\n                                   sigmas=sigmas).to(torch.float16)\n\n        # SDE noise level - tune for FID\n        eta = 1.2\n\n        # History buffers for multistep (up to 3 previous steps)\n        denoised_history = []  # list of denoised predictions\n        sigma_history = []     # list of sigma values\n        t_history = []         # list of timestep indices\n\n        pbar = tqdm(self.scheduler.timesteps, desc=\"SEM-AO\")\n        for i, _ in enumerate(pbar):\n            sigma = sigmas[i]\n            new_t = self.timestep(sigma).to(self.device)\n\n            with torch.no_grad():\n                denoised, _ = self.kdiffusion_x_to_denoised(x, sigma, uc, c, cfg_guidance, new_t)\n\n            # Store current evaluation\n            denoised_history.append(denoised)\n            sigma_history.append(sigma)\n            t_history.append(new_t)\n\n            # Limit history to last 4 entries (for up to order 3 multistep)\n            if len(denoised_history) > 4:\n                denoised_history.pop(0)\n                sigma_history.pop(0)\n                t_history.pop(0)\n\n            if sigmas[i + 1] == 0:\n                # Last step: jump directly to denoised\n                x = denoised\n            else:\n                # Compute exponential integrator step with adaptive order\n                # Define lambda functions for convenience\n                t_fn = lambda s: s.log().neg()\n                sigma_fn = lambda t: t.neg().exp()\n\n                t = t_fn(sigmas[i])\n                s = t_fn(sigmas[i + 1])\n                h = s - t\n                h_eta = h * (eta + 1)\n\n                # Base first-order exponential integrator\n                x_pred = torch.exp(-h_eta) * x + (-h_eta).expm1().neg() * denoised\n\n                # Higher-order corrections if history available\n                order = 1\n                if len(denoised_history) >= 2:\n                    # Second-order correction using one previous step\n                    # Compute coefficients for Adams-Bashforth type exponential multistep\n                    # For exponential integrator, we use derivative approximations.\n                    # Simplified: use linear extrapolation of denoised across steps\n                    denoised_prev = denoised_history[-2]\n                    sigma_prev = sigma_history[-2]\n                    # Approximate derivative of denoised w.r.t. t\n                    # Using finite difference in log-sigma space\n                    t_prev = t_fn(sigma_prev)\n                    dt = t - t_prev\n                    if dt.abs() > 1e-7:\n                        d_denoised = (denoised - denoised_prev) / dt\n                        # Second-order term: -h_eta * exp(-h_eta) * d_denoised\n                        correction = -h_eta * torch.exp(-h_eta) * d_denoised\n                        x_pred = x_pred + correction\n                        order = 2\n\n                if len(denoised_history) >= 3 and order == 2:\n                    # Third-order correction using two previous steps\n                    denoised_prev2 = denoised_history[-3]\n                    sigma_prev2 = sigma_history[-3]\n                    t_prev2 = t_fn(sigma_prev2)\n                    # Compute second derivative using three points\n                    dt1 = t - t_prev\n                    dt2 = t_prev - t_prev2\n                    if dt1.abs() > 1e-7 and dt2.abs() > 1e-7:\n                        d1 = (denoised - denoised_prev) / dt1\n                        d2 = (denoised_prev - denoised_prev2) / dt2\n                        dd = (d1 - d2) / (0.5 * (dt1 + dt2))\n                        # Third-order term: (h_eta**2 / 2) * exp(-h_eta) * dd\n                        correction3 = (h_eta**2 / 2) * torch.exp(-h_eta) * dd\n                        x_pred = x_pred + correction3\n                        order = 3\n\n                # Add Langevin noise for SDE term (improves mode coverage)\n                if sigmas[i + 1] > 0:\n                    noise = torch.randn_like(x)\n                    # Scale noise by sqrt(2*eta*h) factor\n                    noise_scale = torch.sqrt(2 * eta * h).item()\n                    x_pred = x_pred + noise * noise_scale\n\n                x = x_pred\n\n            if callback_fn is not None:\n                callback_kwargs = {'z0t': denoised.detach(),\n                                    'zt': x.detach(),\n                                    'decode': self.decode}\n                callback_kwargs = callback_fn(i, new_t, callback_kwargs)\n                denoised = callback_kwargs[\"z0t\"]\n                x = callback_kwargs[\"zt\"]\n\n        # Decode final latent\n        img = self.decode(x)\n        img = (img / 2 + 0.5).clamp(0, 1)\n        return img.detach().cpu()"
7}