def learn(env, policy_func, reward_giver, reward_guidance, expert_dataset, rank, pretrained, pretrained_weight, *, g_step, d_step, entcoeff, save_per_iter, ckpt_dir, log_dir, timesteps_per_batch, task_name, gamma, lam, algo, max_kl, cg_iters, cg_damping=1e-2, vf_stepsize=3e-4, d_stepsize=1e-4, vf_iters=3, max_timesteps=0, max_episodes=0, max_iters=0, loss_percent=0.0, callback=None): nworkers = MPI.COMM_WORLD.Get_size() rank = MPI.COMM_WORLD.Get_rank() np.set_printoptions(precision=3) # Setup losses and stuff # ---------------------------------------- ob_space = env.observation_space ac_space = env.action_space policy = build_policy(env, 'mlp', value_network='copy') ob = observation_placeholder(ob_space) with tf.variable_scope('pi'): pi = policy(observ_placeholder=ob) with tf.variable_scope('oldpi'): oldpi = policy(observ_placeholder=ob) atarg = tf.placeholder( dtype=tf.float32, shape=[None]) # Target advantage function (if applicable) ret = tf.placeholder(dtype=tf.float32, shape=[None]) # Empirical return ac = pi.pdtype.sample_placeholder([None]) kloldnew = oldpi.pd.kl(pi.pd) ent = pi.pd.entropy() meankl = tf.reduce_mean(kloldnew) meanent = tf.reduce_mean(ent) entbonus = entcoeff * meanent vferr = tf.reduce_mean(tf.square(pi.vf - ret)) ratio = tf.exp(pi.pd.logp(ac) - oldpi.pd.logp(ac)) # advantage * pnew / pold surrgain = tf.reduce_mean(ratio * atarg) optimgain = surrgain + entbonus losses = [optimgain, meankl, entbonus, surrgain, meanent] loss_names = ["optimgain", "meankl", "entloss", "surrgain", "entropy"] dist = meankl all_var_list = get_trainable_variables('pi') # var_list = [v for v in all_var_list if v.name.startswith("pi/pol") or v.name.startswith("pi/logstd")] # vf_var_list = [v for v in all_var_list if v.name.startswith("pi/vff")] var_list = get_pi_trainable_variables("pi") vf_var_list = get_vf_trainable_variables("pi") # assert len(var_list) == len(vf_var_list) + 1 d_adam = MpiAdam(reward_giver.get_trainable_variables()) guidance_adam = MpiAdam(reward_guidance.get_trainable_variables()) vfadam = MpiAdam(vf_var_list) get_flat = U.GetFlat(var_list) set_from_flat = U.SetFromFlat(var_list) klgrads = tf.gradients(dist, var_list) flat_tangent = tf.placeholder(dtype=tf.float32, shape=[None], name="flat_tan") shapes = [var.get_shape().as_list() for var in var_list] start = 0 tangents = [] for shape in shapes: sz = U.intprod(shape) tangents.append(tf.reshape(flat_tangent[start:start + sz], shape)) start += sz gvp = tf.add_n([ tf.reduce_sum(g * tangent) for (g, tangent) in zipsame(klgrads, tangents) ]) # pylint: disable=E1111 fvp = U.flatgrad(gvp, var_list) assign_old_eq_new = U.function( [], [], updates=[ tf.assign(oldv, newv) for (oldv, newv) in zipsame(get_variables('oldpi'), get_variables('pi')) ]) compute_losses = U.function([ob, ac, atarg], losses) compute_lossandgrad = U.function([ob, ac, atarg], losses + [U.flatgrad(optimgain, var_list)]) compute_fvp = U.function([flat_tangent, ob, ac, atarg], fvp) compute_vflossandgrad = U.function([ob, ret], U.flatgrad(vferr, vf_var_list)) @contextmanager def timed(msg): if rank == 0: print(colorize(msg, color='magenta')) tstart = time.time() yield print( colorize("done in %.3f seconds" % (time.time() - tstart), color='magenta')) else: yield def allmean(x): assert isinstance(x, np.ndarray) out = np.empty_like(x) MPI.COMM_WORLD.Allreduce(x, out, op=MPI.SUM) out /= nworkers return out U.initialize() th_init = get_flat() MPI.COMM_WORLD.Bcast(th_init, root=0) set_from_flat(th_init) d_adam.sync() guidance_adam.sync() vfadam.sync() if rank == 0: print("Init param sum", th_init.sum(), flush=True) # Prepare for rollouts # ---------------------------------------- seg_gen = traj_segment_generator(pi, env, reward_giver, reward_guidance, timesteps_per_batch, stochastic=True, algo=algo, loss_percent=loss_percent) episodes_so_far = 0 timesteps_so_far = 0 iters_so_far = 0 tstart = time.time() lenbuffer = deque(maxlen=40) # rolling buffer for episode lengths rewbuffer = deque(maxlen=40) # rolling buffer for episode rewards true_rewbuffer = deque(maxlen=40) assert sum([max_iters > 0, max_timesteps > 0, max_episodes > 0]) == 1 g_loss_stats = stats(loss_names) d_loss_stats = stats(reward_giver.loss_name) ep_stats = stats(["True_rewards", "Rewards", "Episode_length"]) # if provide pretrained weight if pretrained_weight is not None: U.load_state(pretrained_weight, var_list=pi.get_variables()) while True: if callback: callback(locals(), globals()) if max_timesteps and timesteps_so_far >= max_timesteps: break elif max_episodes and episodes_so_far >= max_episodes: break elif max_iters and iters_so_far >= max_iters: break # Save model if rank == 0 and iters_so_far % save_per_iter == 0 and ckpt_dir is not None: fname = os.path.join(ckpt_dir, task_name) os.makedirs(os.path.dirname(fname), exist_ok=True) saver = tf.train.Saver() saver.save(tf.get_default_session(), fname) logger.log("********** Iteration %i ************" % iters_so_far) # global flag_render # if iters_so_far > 0 and iters_so_far % 10 ==0: # flag_render = True # else: # flag_render = False def fisher_vector_product(p): return allmean(compute_fvp(p, *fvpargs)) + cg_damping * p # ------------------ Update G ------------------ logger.log("Optimizing Policy...") for _ in range(g_step): with timed("sampling"): seg = seg_gen.__next__() print('rewards', seg['rew']) add_vtarg_and_adv(seg, gamma, lam) # ob, ac, atarg, ret, td1ret = map(np.concatenate, (obs, acs, atargs, rets, td1rets)) ob, ac, atarg, tdlamret = seg["ob"], seg["ac"], seg["adv"], seg[ "tdlamret"] vpredbefore = seg[ "vpred"] # predicted value function before udpate atarg = (atarg - atarg.mean()) / atarg.std( ) # standardized advantage function estimate if hasattr(pi, "ob_rms"): pi.ob_rms.update(ob) # update running mean/std for policy args = seg["ob"], seg["ac"], atarg fvpargs = [arr[::5] for arr in args] assign_old_eq_new( ) # set old parameter values to new parameter values with timed("computegrad"): *lossbefore, g = compute_lossandgrad(*args) lossbefore = allmean(np.array(lossbefore)) g = allmean(g) if np.allclose(g, 0): logger.log("Got zero gradient. not updating") else: with timed("cg"): stepdir = cg(fisher_vector_product, g, cg_iters=cg_iters, verbose=rank == 0) assert np.isfinite(stepdir).all() shs = .5 * stepdir.dot(fisher_vector_product(stepdir)) lm = np.sqrt(shs / max_kl) # logger.log("lagrange multiplier:", lm, "gnorm:", np.linalg.norm(g)) fullstep = stepdir / lm expectedimprove = g.dot(fullstep) surrbefore = lossbefore[0] stepsize = 1.0 thbefore = get_flat() for _ in range(10): thnew = thbefore + fullstep * stepsize set_from_flat(thnew) meanlosses = surr, kl, *_ = allmean( np.array(compute_losses(*args))) improve = surr - surrbefore logger.log("Expected: %.3f Actual: %.3f" % (expectedimprove, improve)) if not np.isfinite(meanlosses).all(): logger.log("Got non-finite value of losses -- bad!") elif kl > max_kl * 1.5: logger.log("violated KL constraint. shrinking step.") elif improve < 0: logger.log("surrogate didn't improve. shrinking step.") else: logger.log("Stepsize OK!") break stepsize *= .5 else: logger.log("couldn't compute a good step") set_from_flat(thbefore) if nworkers > 1 and iters_so_far % 20 == 0: paramsums = MPI.COMM_WORLD.allgather( (thnew.sum(), vfadam.getflat().sum())) # list of tuples assert all( np.allclose(ps, paramsums[0]) for ps in paramsums[1:]) with timed("vf"): for _ in range(vf_iters): for (mbob, mbret) in dataset.iterbatches( (seg["ob"], seg["tdlamret"]), include_final_partial_batch=False, batch_size=128): if hasattr(pi, "ob_rms"): pi.ob_rms.update( mbob) # update running mean/std for policy g = allmean(compute_vflossandgrad(mbob, mbret)) vfadam.update(g, vf_stepsize) g_losses = meanlosses for (lossname, lossval) in zip(loss_names, meanlosses): logger.record_tabular(lossname, lossval) logger.record_tabular("ev_tdlam_before", explained_variance(vpredbefore, tdlamret)) # ------------------ Update D ------------------ logger.log("Optimizing Discriminator...") logger.log(fmt_row(13, reward_giver.loss_name)) ob_expert, ac_expert = expert_dataset.get_next_batch( batch_size=len(ob)) batch_size = 128 d_losses = [ ] # list of tuples, each of which gives the loss for a minibatch with timed("Discriminator"): for (ob_batch, ac_batch) in dataset.iterbatches( (ob, ac), include_final_partial_batch=False, batch_size=batch_size): ob_expert, ac_expert = expert_dataset.get_next_batch( batch_size=batch_size) # update running mean/std for reward_giver if hasattr(reward_giver, "obs_rms"): reward_giver.obs_rms.update( np.concatenate((ob_batch, ob_expert), 0)) *newlosses, g = reward_giver.lossandgrad(ob_batch, ob_expert) d_adam.update(allmean(g), d_stepsize) d_losses.append(newlosses) logger.log(fmt_row(13, np.mean(d_losses, axis=0))) # ------------------ Update Guidance ------------ logger.log("Optimizing Guidance...") logger.log(fmt_row(13, reward_guidance.loss_name)) batch_size = 128 guidance_losses = [ ] # list of tuples, each of which gives the loss for a minibatch with timed("Guidance"): for ob_batch, ac_batch in dataset.iterbatches( (ob, ac), include_final_partial_batch=False, batch_size=batch_size): ob_expert, ac_expert = expert_dataset.get_next_batch( batch_size=batch_size) idx_condition = process_expert(ob_expert, ac_expert) pick_idx = (idx_condition >= loss_percent) # pick_idx = idx_condition ob_expert_p = ob_expert[pick_idx] ac_expert_p = ac_expert[pick_idx] ac_batch_p = [] for each_ob in ob_expert_p: tmp_ac, _, _, _ = pi.step(each_ob, stochastic=True) ac_batch_p.append(tmp_ac) # update running mean/std for reward_giver if hasattr(reward_guidance, "obs_rms"): reward_guidance.obs_rms.update(ob_expert_p) # reward_guidance.train(expert_s=ob_batch_p, agent_a=ac_batch_p, expert_a=ac_expert_p) *newlosses, g = reward_guidance.lossandgrad( ob_expert_p, ac_batch_p, ac_expert_p) guidance_adam.update(allmean(g), d_stepsize) guidance_losses.append(newlosses) logger.log(fmt_row(13, np.mean(guidance_losses, axis=0))) lrlocal = (seg["ep_lens"], seg["ep_rets"], seg["ep_true_rets"] ) # local values listoflrpairs = MPI.COMM_WORLD.allgather(lrlocal) # list of tuples lens, rews, true_rets = map(flatten_lists, zip(*listoflrpairs)) true_rewbuffer.extend(true_rets) lenbuffer.extend(lens) rewbuffer.extend(rews) logger.record_tabular("EpLenMean", np.mean(lenbuffer)) logger.record_tabular("EpRewMean", np.mean(rewbuffer)) logger.record_tabular("EpTrueRewMean", np.mean(true_rewbuffer)) logger.record_tabular("EpThisIter", len(lens)) episodes_so_far += len(lens) timesteps_so_far += sum(lens) * g_step iters_so_far += 1 logger.record_tabular("EpisodesSoFar", episodes_so_far) logger.record_tabular("TimestepsSoFar", timesteps_so_far) logger.record_tabular("TimeElapsed", time.time() - tstart) if rank == 0: logger.dump_tabular()
def learn( *, network, env, eval_policy, total_timesteps, timesteps_per_batch=1024, # what to train on max_kl=0.001, cg_iters=10, gamma=0.99, lam=1.0, # advantage estimation seed=None, ent_coef=0.0, cg_damping=1e-2, vf_stepsize=3e-4, vf_iters=3, max_episodes=0, max_iters=0, # time constraint callback=None, load_path=None, checkpoint_path_in=None, checkpoint_dir_out=None, checkpoint_freq=100, # In iterations!!, from_iter=0, eval_episodes=20, **network_kwargs): ''' learn a policy function with TRPO algorithm Parameters: ---------- network neural network to learn. Can be either string ('mlp', 'cnn', 'lstm', 'lnlstm' for basic types) or function that takes input placeholder and returns tuple (output, None) for feedforward nets or (output, (state_placeholder, state_output, mask_placeholder)) for recurrent nets env environment (one of the gym environments or wrapped via baselines.common.vec_env.VecEnv-type class timesteps_per_batch timesteps per gradient estimation batch max_kl max KL divergence between old policy and new policy ( KL(pi_old || pi) ) ent_coef coefficient of policy entropy term in the optimization objective cg_iters number of iterations of conjugate gradient algorithm cg_damping conjugate gradient damping vf_stepsize learning rate for adam optimizer used to optimie value function loss vf_iters number of iterations of value function optimization iterations per each policy optimization step total_timesteps max number of timesteps max_episodes max number of episodes max_iters maximum number of policy optimization iterations callback function to be called with (locals(), globals()) each policy optimization step load_path str, path to load the model from (default: None, i.e. no model is loaded) **network_kwargs keyword arguments to the policy / network builder. See baselines.common/policies.py/build_policy and arguments to a particular type of network Returns: ------- learnt model ''' nworkers = MPI.COMM_WORLD.Get_size() rank = MPI.COMM_WORLD.Get_rank() cpus_per_worker = 1 U.get_session( config=tf.ConfigProto(allow_soft_placement=True, inter_op_parallelism_threads=cpus_per_worker, intra_op_parallelism_threads=cpus_per_worker)) policy = build_policy(env, network, value_network='copy', **network_kwargs) set_global_seeds(seed) np.set_printoptions(precision=3) # Setup losses and stuff # ---------------------------------------- # ob_space = Box(low=-np.inf, high=np.inf, shape=(env.observation_space.n,)) ob_space = env.observation_space ac_space = env.action_space ob = observation_placeholder(ob_space) with tf.variable_scope("pi"): pi = policy(observ_placeholder=ob) with tf.variable_scope("oldpi"): oldpi = policy(observ_placeholder=ob) # Loading checkpoint if checkpoint_path_in is not None and os.path.isfile(checkpoint_path_in): pi.load(checkpoint_path_in) logger.log('Loaded policy weights from %s' % checkpoint_path_in) atarg = tf.placeholder( dtype=tf.float32, shape=[None]) # Target advantage function (if applicable) ret = tf.placeholder(dtype=tf.float32, shape=[None]) # Empirical return ac = pi.pdtype.sample_placeholder([None]) kloldnew = oldpi.pd.kl(pi.pd) ent = pi.pd.entropy() meankl = tf.reduce_mean(kloldnew) meanent = tf.reduce_mean(ent) entbonus = ent_coef * meanent vferr = tf.reduce_mean(tf.square(pi.vf - ret)) ratio = tf.exp(pi.pd.logp(ac) - oldpi.pd.logp(ac)) # advantage * pnew / pold surrgain = tf.reduce_mean(ratio * atarg) optimgain = surrgain + entbonus losses = [optimgain, meankl, entbonus, surrgain, meanent] loss_names = ["optimgain", "meankl", "entloss", "surrgain", "entropy"] dist = meankl all_var_list = get_trainable_variables("pi") # var_list = [v for v in all_var_list if v.name.split("/")[1].startswith("pol")] # vf_var_list = [v for v in all_var_list if v.name.split("/")[1].startswith("vf")] var_list = get_pi_trainable_variables("pi") vf_var_list = get_vf_trainable_variables("pi") vfadam = MpiAdam(vf_var_list) get_flat = U.GetFlat(var_list) set_from_flat = U.SetFromFlat(var_list) klgrads = tf.gradients(dist, var_list) flat_tangent = tf.placeholder(dtype=tf.float32, shape=[None], name="flat_tan") shapes = [var.get_shape().as_list() for var in var_list] start = 0 tangents = [] for shape in shapes: sz = U.intprod(shape) tangents.append(tf.reshape(flat_tangent[start:start + sz], shape)) start += sz gvp = tf.add_n([ tf.reduce_sum(g * tangent) for (g, tangent) in zipsame(klgrads, tangents) ]) # pylint: disable=E1111 fvp = U.flatgrad(gvp, var_list) assign_old_eq_new = U.function( [], [], updates=[ tf.assign(oldv, newv) for (oldv, newv) in zipsame(get_variables("oldpi"), get_variables("pi")) ]) compute_losses = U.function([ob, ac, atarg], losses) compute_lossandgrad = U.function([ob, ac, atarg], losses + [U.flatgrad(optimgain, var_list)]) compute_fvp = U.function([flat_tangent, ob, ac, atarg], fvp) compute_vflossandgrad = U.function([ob, ret], U.flatgrad(vferr, vf_var_list)) @contextmanager def timed(msg): if rank == 0: print(colorize(msg, color='magenta')) tstart = time.time() yield print( colorize("done in %.3f seconds" % (time.time() - tstart), color='magenta')) else: yield def allmean(x): assert isinstance(x, np.ndarray) out = np.empty_like(x) MPI.COMM_WORLD.Allreduce(x, out, op=MPI.SUM) out /= nworkers return out U.initialize() # s = env.reset() # start = time.time() # for i in range(10000): # pi.step(s, stochastic=True) # duration = time.time() - start # print(duration) # return if load_path is not None: pi.load(load_path) th_init = get_flat() MPI.COMM_WORLD.Bcast(th_init, root=0) set_from_flat(th_init) vfadam.sync() print("Init param sum", th_init.sum(), flush=True) # Prepare for rollouts # ---------------------------------------- seg_gen = traj_segment_generator(pi, env, timesteps_per_batch, stochastic=True, gamma=gamma) episodes_so_far = 0 timesteps_so_far = 0 iters_so_far = 0 iters_eval = 0 all_logs = [] best_rew = -np.inf tstart = time.time() lenbuffer = deque(maxlen=40) # rolling buffer for episode lengths rewbuffer = deque(maxlen=40) # rolling buffer for episode rewards online_scores = [] offline_scores = [] if sum([max_iters > 0, total_timesteps > 0, max_episodes > 0]) == 0: # noththing to be done return pi assert sum([max_iters > 0, total_timesteps > 0, max_episodes > 0]) < 2, \ 'out of max_iters, total_timesteps, and max_episodes only one should be specified' while True: if callback: callback(locals(), globals()) if total_timesteps and timesteps_so_far >= total_timesteps: break elif max_episodes and episodes_so_far >= max_episodes: break elif max_iters and iters_so_far >= max_iters: break logger.log("********** Iteration %i ************" % iters_so_far) if iters_so_far % checkpoint_freq == 0 and checkpoint_dir_out is not None: if not os.path.exists(checkpoint_dir_out): os.makedirs(checkpoint_dir_out) pi.save( os.path.join(checkpoint_dir_out, 'checkpoint_%d' % iters_so_far)) logger.log('Saved policy weights as %s' % os.path.join( checkpoint_dir_out, 'checkpoint_%d.npy' % iters_so_far)) def pi_wrapper(ob): ac, vpred, _, _ = pi.step(ob, stochastic=True) return ac rew, _, logs, disc_rets, num_stops, avg_damages = eval_policy( pi=pi_wrapper, n_episodes=eval_episodes, verbose=True) offline_scores.append( [np.mean(disc_rets), np.mean(num_stops), np.mean(avg_damages)]) np.save(os.path.join(checkpoint_dir_out, 'offline_scores.npy'), offline_scores) for log in logs: log['iter'] = iters_eval all_logs = all_logs + logs iters_eval += 1 with timed("sampling"): seg = seg_gen.__next__() add_vtarg_and_adv(seg, gamma, lam) # ob, ac, atarg, ret, td1ret = map(np.concatenate, (obs, acs, atargs, rets, td1rets)) ob, ac, atarg, tdlamret = seg["ob"], seg["ac"], seg["adv"], seg[ "tdlamret"] vpredbefore = seg["vpred"] # predicted value function before udpate atarg = (atarg - atarg.mean() ) / atarg.std() # standardized advantage function estimate if hasattr(pi, "ret_rms"): pi.ret_rms.update(tdlamret) if hasattr(pi, "ob_rms"): pi.ob_rms.update(ob) # update running mean/std for policy args = seg["ob"], seg["ac"], atarg fvpargs = [arr[::5] for arr in args] def fisher_vector_product(p): return allmean(compute_fvp(p, *fvpargs)) + cg_damping * p assign_old_eq_new() # set old parameter values to new parameter values with timed("computegrad"): *lossbefore, g = compute_lossandgrad(*args) lossbefore = allmean(np.array(lossbefore)) g = allmean(g) if np.allclose(g, 0): logger.log("Got zero gradient. not updating") else: with timed("cg"): stepdir = cg(fisher_vector_product, g, cg_iters=cg_iters, verbose=rank == 0) assert np.isfinite(stepdir).all() shs = .5 * stepdir.dot(fisher_vector_product(stepdir)) lm = np.sqrt(shs / max_kl) # logger.log("lagrange multiplier:", lm, "gnorm:", np.linalg.norm(g)) fullstep = stepdir / lm expectedimprove = g.dot(fullstep) surrbefore = lossbefore[0] stepsize = 1.0 thbefore = get_flat() for _ in range(10): thnew = thbefore + fullstep * stepsize set_from_flat(thnew) meanlosses = surr, kl, *_ = allmean( np.array(compute_losses(*args))) improve = surr - surrbefore logger.log("Expected: %.3f Actual: %.3f" % (expectedimprove, improve)) if not np.isfinite(meanlosses).all(): logger.log("Got non-finite value of losses -- bad!") elif kl > max_kl * 1.5: logger.log("violated KL constraint. shrinking step.") elif improve < 0: logger.log("surrogate didn't improve. shrinking step.") else: logger.log("Stepsize OK!") break stepsize *= .5 else: logger.log("couldn't compute a good step") set_from_flat(thbefore) if nworkers > 1 and iters_so_far % 20 == 0: paramsums = MPI.COMM_WORLD.allgather( (thnew.sum(), vfadam.getflat().sum())) # list of tuples assert all( np.allclose(ps, paramsums[0]) for ps in paramsums[1:]) for (lossname, lossval) in zip(loss_names, meanlosses): logger.record_tabular(lossname, lossval) with timed("vf"): for _ in range(vf_iters): for (mbob, mbret) in dataset.iterbatches( (seg["ob"], seg["tdlamret"]), include_final_partial_batch=False, batch_size=64): g = allmean(compute_vflossandgrad(mbob, mbret)) vfadam.update(g, vf_stepsize) logger.record_tabular("ev_tdlam_before", explained_variance(vpredbefore, tdlamret)) lrlocal = (seg["ep_lens"], seg["ep_rets"]) # local values listoflrpairs = MPI.COMM_WORLD.allgather(lrlocal) # list of tuples lens, rews = map(flatten_lists, zip(*listoflrpairs)) lenbuffer.extend(lens) rewbuffer.extend(rews) logger.record_tabular("EpLenMean", np.mean(lenbuffer)) logger.record_tabular("EpRewMean", np.mean(rewbuffer)) logger.record_tabular("EpThisIter", len(lens)) episodes_so_far += len(lens) timesteps_so_far += sum(lens) iters_so_far += 1 logger.record_tabular("EpisodesSoFar", episodes_so_far) logger.record_tabular("TimestepsSoFar", timesteps_so_far) logger.record_tabular("TimeElapsed", time.time() - tstart) ep_rew_mean = np.mean(rewbuffer) online_scores.append(ep_rew_mean) np.save(os.path.join(checkpoint_dir_out, 'online_scores.npy'), online_scores) # Saving best if iters_so_far % checkpoint_freq == 0 and ep_rew_mean > best_rew and checkpoint_dir_out is not None: pi.save(os.path.join(checkpoint_dir_out, 'best')) best_rew = ep_rew_mean logger.log('Saved policy weights as %s' % os.path.join(checkpoint_dir_out, 'best.npy')) if rank == 0: logger.dump_tabular() return pi