Agent Conversation: openai/gpt-5.4
Task: ml-symbolic-regression
Symbolic Regression: GP Search Strategy
Objective
Design and implement a better genetic programming search strategy for symbolic regression. Your code goes in custom_sr.py. Three reference implementations (Standard GP, Parsimony GP, Lexicase GP) demonstrate different approaches.
Background
Symbolic regression discovers mathematical expressions that fit data. Genetic programming evolves a population of expression trees through selection, crossover, and mutation. Key challenges include balancing exploration vs exploitation, controlling expression complexity (bloat), and escaping local optima. Different approaches address these through fitness shaping, novel selection mechanisms, or improved genetic operators.
Evaluation
Tested on three standard symbolic regression benchmarks: Nguyen-7 (univariate transcendental), Nguyen-10 (bivariate trigonometric), Koza-3 (univariate polynomial). Metric: R² on held-out test set (higher is better).
gplearn/custom_sr.py [EDITABLE — lines 228–306 only]
1: #!/usr/bin/env python3
2: """Symbolic Regression via Genetic Programming.
3:
4: A self-contained GP framework for symbolic regression benchmarks.
5: The editable section contains the search strategy: fitness function,
6: selection, crossover, mutation, and per-generation evolution logic.
7: """
8:
9: import argparse
10: import math
11: import random
12: import sys
13: import os
14: import numpy as np
15:
16:
17: # ============================================================
18: # Operator Definitions (FIXED)
19: # ============================================================
20:
21: def protected_div(a, b):
22: """Protected division: returns 1.0 when divisor is near zero."""
23: return np.where(np.abs(b) > 1e-10, a / b, 1.0)
24:
25:
26: def protected_log(a):
27: """Protected log: returns 0.0 for non-positive inputs."""
28: return np.where(np.abs(a) > 1e-10, np.log(np.abs(a)), 0.0)
29:
30:
31: def protected_exp(a):
32: """Protected exp: clips input to prevent overflow."""
33: return np.exp(np.clip(a, -10, 10))
34:
35:
36: OPERATORS = {
37: 'add': (np.add, 2),
38: 'sub': (np.subtract, 2),
39: 'mul': (np.multiply, 2),
40: 'div': (protected_div, 2),
41: 'sin': (np.sin, 1),
42: 'cos': (np.cos, 1),
43: 'log': (protected_log, 1),
44: 'exp': (protected_exp, 1),
45: }
46:
47: OPERATOR_NAMES = list(OPERATORS.keys())
48:
49:
50: # ============================================================
51: # Tree Representation (FIXED)
52: # ============================================================
53:
54: class Node:
55: """A node in the GP expression tree."""
56: __slots__ = ('value', 'children')
57:
58: Tool Input
1{
2 "op": "replace",
3 "filename": "gplearn/custom_sr.py",
4 "content": "def fitness_function(tree, X, y):\n \"\"\"Raw MSE fitness used for global best tracking.\"\"\"\n y_pred = safe_evaluate(tree, X)\n return float(np.mean((y - y_pred) ** 2))\n\n\n_GP_STATE = {\n 'gen': 0,\n 'best_fitness': float('inf'),\n 'last_improve': 0,\n 'X': None,\n 'y': None,\n 'elite_pred': None,\n 'elite_fitness': None,\n 'parsimony': 0.0,\n 'novelty_weight': 0.01,\n}\n\n\ndef _const_value(node):\n if node.is_terminal and not (isinstance(node.value, str) and node.value.startswith('x')):\n try:\n return float(node.value)\n except Exception:\n return None\n return None\n\n\ndef _make_const(val):\n return Node(str(round(float(np.clip(val, -1e6, 1e6)), 4)))\n\n\ndef _eval_const(op_name, values):\n try:\n arrays = [np.asarray([v], dtype=float) for v in values]\n out = OPERATORS[op_name][0](*arrays)[0]\n if not np.isfinite(out):\n return None\n return float(np.clip(out, -1e6, 1e6))\n except Exception:\n return None\n\n\ndef _simplify(tree):\n if tree.is_terminal:\n return tree.copy()\n\n children = [_simplify(c) for c in tree.children]\n op = tree.value\n\n if len(children) == 1:\n c0 = _const_value(children[0])\n if c0 is not None:\n folded = _eval_const(op, [c0])\n if folded is not None:\n return _make_const(folded)\n return Node(op, children)\n\n a, b = children\n ca, cb = _const_value(a), _const_value(b)\n\n if op == 'add':\n if ca is not None and abs(ca) < 1e-12:\n return b.copy()\n if cb is not None and abs(cb) < 1e-12:\n return a.copy()\n elif op == 'sub':\n if cb is not None and abs(cb) < 1e-12:\n return a.copy()\n if str(a) == str(b):\n return _make_const(0.0)\n elif op == 'mul':\n if (ca is not None and abs(ca) < 1e-12) or (cb is not None and abs(cb) < 1e-12):\n return _make_const(0.0)\n if ca is not None and abs(ca - 1.0) < 1e-12:\n return b.copy()\n if cb is not None and abs(cb - 1.0) < 1e-12:\n return a.copy()\n elif op == 'div':\n if ca is not None and abs(ca) < 1e-12:\n return _make_const(0.0)\n if cb is not None and abs(cb - 1.0) < 1e-12:\n return a.copy()\n if str(a) == str(b):\n return _make_const(1.0)\n\n if ca is not None and cb is not None:\n folded = _eval_const(op, [ca, cb])\n if folded is not None:\n return _make_const(folded)\n\n return Node(op, children)\n\n\ndef _selection_score(idx, fitnesses, sizes, preds=None):\n score = float(fitnesses[idx])\n elite_pred = _GP_STATE.get('elite_pred')\n y = _GP_STATE.get('y')\n if elite_pred is not None and preds is not None and y is not None:\n scale = float(np.mean(np.abs(y)) + 1e-6)\n novelty = float(np.mean(np.abs(preds[idx] - elite_pred))) / scale\n score -= _GP_STATE.get('novelty_weight', 0.01) * novelty / (1.0 + score)\n return (score, float(sizes[idx]) if sizes is not None else 0.0)\n\n\ndef _tree_score(tree):\n X = _GP_STATE.get('X')\n y = _GP_STATE.get('y')\n if X is None or y is None:\n return float(tree.size())\n pred = safe_evaluate(tree, X)\n mse = float(np.mean((y - pred) ** 2))\n size_pen = 0.5 * _GP_STATE.get('parsimony', 0.0) * tree.size()\n elite_pred = _GP_STATE.get('elite_pred')\n novelty_bonus = 0.0\n if elite_pred is not None:\n scale = float(np.mean(np.abs(y)) + 1e-6)\n novelty = float(np.mean(np.abs(pred - elite_pred))) / scale\n novelty_bonus = _GP_STATE.get('novelty_weight', 0.01) * novelty / (1.0 + mse)\n return mse + size_pen - novelty_bonus\n\n\ndef selection(population, fitnesses, n_select, _errors=None, _preds=None,\n _sizes=None, _case_weights=None):\n \"\"\"Residual-weighted epsilon lexicase on small candidate pools.\"\"\"\n selected = []\n pop_size = len(population)\n\n for _ in range(n_select):\n if _errors is None:\n candidates = random.sample(range(pop_size), min(7, pop_size))\n else:\n candidates = random.sample(range(pop_size), min(32, pop_size))\n n_cases = _errors.shape[1]\n if _case_weights is None:\n cases = list(range(n_cases))\n random.shuffle(cases)\n else:\n cases = list(np.random.choice(\n n_cases, size=n_cases, replace=False, p=_case_weights\n ))\n\n for case in cases:\n if len(candidates) <= 2:\n break\n errs = _errors[candidates, case]\n best = float(np.min(errs))\n med = float(np.median(errs))\n mad = float(np.median(np.abs(errs - med)))\n eps = best + 0.5 * mad + 0.05 * (med - best)\n candidates = [i for i, e in zip(candidates, errs) if e <= eps + 1e-12]\n\n winner = min(candidates, key=lambda i: _selection_score(i, fitnesses, _sizes, _preds))\n selected.append(population[winner].copy())\n return selected\n\n\ndef crossover(parent1, parent2, n_features, max_depth=17):\n \"\"\"Size-fair subtree crossover with semantic lookahead.\"\"\"\n best = parent1.copy()\n best_score = _tree_score(best)\n donor_nodes_full = parent2.get_all_nodes()\n if len(parent1.get_all_nodes()) <= 1 or len(donor_nodes_full) == 0:\n return best\n\n for _ in range(4):\n offspring = parent1.copy()\n off_nodes = offspring.get_all_nodes()\n if len(off_nodes) <= 1:\n break\n\n off_point = random.randint(1, len(off_nodes) - 1)\n target_size = off_nodes[off_point][0].size()\n donor_pool = random.sample(donor_nodes_full, min(6, len(donor_nodes_full)))\n donor_subtree = min(donor_pool, key=lambda t: abs(t[0].size() - target_size))[0].copy()\n\n _, parent, child_idx = off_nodes[off_point]\n if parent is not None:\n parent.children[child_idx] = donor_subtree\n else:\n offspring = donor_subtree\n\n offspring = _simplify(offspring)\n if offspring.depth() > max_depth:\n continue\n\n score = _tree_score(offspring)\n if score < best_score:\n best, best_score = offspring, score\n\n return best\n\n\ndef mutation(parent, n_features, max_depth=17):\n \"\"\"Multi-operator mutation with shrink and constant refinement.\"\"\"\n best = parent.copy()\n best_score = _tree_score(best)\n\n for kind in ['subtree', 'point', 'shrink', 'const', 'subtree']:\n offspring = parent.copy()\n nodes = offspring.get_all_nodes()\n\n if kind == 'subtree':\n idx = 0 if len(nodes) == 1 else random.randint(1, len(nodes) - 1)\n new_subtree = generate_tree('grow', 3, n_features)\n _, par, child_idx = nodes[idx]\n if par is None:\n offspring = new_subtree\n else:\n par.children[child_idx] = new_subtree\n\n elif kind == 'point':\n op_nodes = [(i, n) for i, (n, _, _) in enumerate(nodes) if not n.is_terminal]\n if not op_nodes:\n continue\n idx, node = random.choice(op_nodes)\n arity = len(node.children)\n alternatives = [op for op, (_, a) in OPERATORS.items() if a == arity and op != node.value]\n if not alternatives:\n continue\n node.value = random.choice(alternatives)\n\n elif kind == 'shrink':\n internal = [(i, n, p, c) for i, (n, p, c) in enumerate(nodes) if len(n.children) > 0]\n if not internal:\n continue\n _, node, par, child_idx = random.choice(internal)\n replacement = random.choice(node.children).copy()\n if par is None:\n offspring = replacement\n else:\n par.children[child_idx] = replacement\n\n else: # const\n numeric = [(i, n) for i, (n, _, _) in enumerate(nodes)\n if n.is_terminal and _const_value(n) is not None]\n if numeric:\n _, node = random.choice(numeric)\n c = float(node.value)\n node.value = str(round(c + random.gauss(0.0, random.choice([1.0, 0.5, 0.1])), 4))\n else:\n terminals = [(i, n) for i, (n, _, _) in enumerate(nodes) if n.is_terminal]\n if not terminals:\n continue\n _, node = random.choice(terminals)\n if isinstance(node.value, str) and node.value.startswith('x') and n_features > 1:\n node.value = f'x{random.randint(0, n_features - 1)}'\n else:\n node.value = str(round(random.uniform(-3.0, 3.0), 4))\n\n offspring = _simplify(offspring)\n if offspring.depth() > max_depth:\n continue\n\n score = _tree_score(offspring)\n if score < best_score:\n best, best_score = offspring, score\n\n return best\n\n\ndef evolve_one_generation(population, fitnesses, X_train, y_train,\n n_features, pop_size,\n crossover_rate=0.9, mutation_rate=0.05,\n max_depth=17):\n \"\"\"Residual-guided lexicase GP with lookahead variation and dual elitism.\"\"\"\n raw_fit = np.asarray(fitnesses, dtype=float)\n sizes = np.asarray([tree.size() for tree in population], dtype=float)\n preds = np.asarray([safe_evaluate(tree, X_train) for tree in population])\n errors = np.abs(preds - y_train[None, :])\n\n elite_idx = int(np.argmin(raw_fit))\n best_fit = float(raw_fit[elite_idx])\n _GP_STATE['gen'] += 1\n if best_fit + 1e-12 < _GP_STATE.get('best_fitness', float('inf')):\n _GP_STATE['best_fitness'] = best_fit\n _GP_STATE['last_improve'] = _GP_STATE['gen']\n stagnation = _GP_STATE['gen'] - _GP_STATE.get('last_improve', 0)\n\n len_var = float(np.var(sizes))\n if len_var > 1e-15:\n parsimony = float(np.cov(s\n... (truncated)",
5 "after_line": 306,
6 "start_line": 228,
7 "end_line": 306
8}OK: Replaced lines 228..306 with 327 line(s) in gplearn/custom_sr.py. Editable range: 228–554.
[Current file: gplearn/custom_sr.py | editable: 228–554 | total: 631 lines]
228 def fitness_function(tree, X, y):
229 """Raw MSE fitness used for global best tracking."""
230 y_pred = safe_evaluate(tree, X)
... (321 more lines) ...
552 new_population.append(child)
553
554 return new_population[:pop_size][Test #1] (2 tests remaining; call submit(n=N) to choose which test result to submit as final) ## Seed 42 ### nguyen7 (scripts/nguyen7.sh) Training metrics (last generations): TRAIN_METRICS generation=45 best_fitness=0.000192 avg_fitness=0.001487 best_size=9 train_r2=0.999736 TRAIN_METRICS generation=46 best_fitness=0.000192 avg_fitness=0.001467 best_size=9 train_r2=0.999736 TRAIN_METRICS generation=47 best_fitness=0.000174 avg_fitness=0.001422 best_size=9 train_r2=0.999761 TRAIN_METRICS generation=48 best_fitness=0.000174 avg_fitness=0.001328 best_size=9 train_r2=0.999761 TRAIN_METRICS generation=49 best_fitness=0.000174 avg_fitness=0.001374 best_size=9 train_r2=0.999761 Test results (nguyen7): TEST_METRICS r2=0.998514 rmse=0.044444 train_r2=0.999761 size=9 expression="(sin(x0) add (sin((0.5582 mul x0)) mul x0))" R² = 0.998514 RMSE = 0.044444 Expression: (sin(x0) add (sin((0.5582 mul x0)) mul x0)) ### nguyen10 (scripts/nguyen10.sh) Training metrics (last generations): TRAI
Tool Input
1{
2 "op": "replace",
3 "filename": "gplearn/custom_sr.py",
4 "content": "def fitness_function(tree, X, y):\n \"\"\"Raw MSE fitness used for global best tracking.\"\"\"\n y_pred = safe_evaluate(tree, X)\n return float(np.mean((y - y_pred) ** 2))\n\n\n_GP_STATE = {\n 'gen': 0,\n 'best_fitness': float('inf'),\n 'last_improve': 0,\n 'X': None,\n 'y': None,\n 'elite_pred': None,\n 'elite_fitness': None,\n 'parsimony': 0.0,\n 'novelty_weight': 0.01,\n}\n\n\ndef _const_value(node):\n if node.is_terminal and not (isinstance(node.value, str) and node.value.startswith('x')):\n try:\n return float(node.value)\n except Exception:\n return None\n return None\n\n\ndef _make_const(val):\n return Node(str(round(float(np.clip(val, -1e6, 1e6)), 4)))\n\n\ndef _eval_const(op_name, values):\n try:\n arrays = [np.asarray([v], dtype=float) for v in values]\n out = OPERATORS[op_name][0](*arrays)[0]\n if not np.isfinite(out):\n return None\n return float(np.clip(out, -1e6, 1e6))\n except Exception:\n return None\n\n\ndef _scaled_mse_from_pred(pred, y):\n pm = float(np.mean(pred))\n ym = float(np.mean(y))\n centered_pred = pred - pm\n denom = float(np.dot(centered_pred, centered_pred))\n if denom < 1e-12:\n scaled = np.full_like(pred, ym)\n else:\n a = float(np.dot(centered_pred, y - ym) / denom)\n b = ym - a * pm\n scaled = a * pred + b\n return float(np.mean((y - scaled) ** 2))\n\n\ndef _simplify(tree):\n if tree.is_terminal:\n return tree.copy()\n\n children = [_simplify(c) for c in tree.children]\n op = tree.value\n\n if len(children) == 1:\n c0 = _const_value(children[0])\n if c0 is not None:\n folded = _eval_const(op, [c0])\n if folded is not None:\n return _make_const(folded)\n return Node(op, children)\n\n a, b = children\n ca, cb = _const_value(a), _const_value(b)\n\n if op == 'add':\n if ca is not None and abs(ca) < 1e-12:\n return b.copy()\n if cb is not None and abs(cb) < 1e-12:\n return a.copy()\n elif op == 'sub':\n if cb is not None and abs(cb) < 1e-12:\n return a.copy()\n if str(a) == str(b):\n return _make_const(0.0)\n elif op == 'mul':\n if (ca is not None and abs(ca) < 1e-12) or (cb is not None and abs(cb) < 1e-12):\n return _make_const(0.0)\n if ca is not None and abs(ca - 1.0) < 1e-12:\n return b.copy()\n if cb is not None and abs(cb - 1.0) < 1e-12:\n return a.copy()\n elif op == 'div':\n if ca is not None and abs(ca) < 1e-12:\n return _make_const(0.0)\n if cb is not None and abs(cb - 1.0) < 1e-12:\n return a.copy()\n if str(a) == str(b):\n return _make_const(1.0)\n\n if ca is not None and cb is not None:\n folded = _eval_const(op, [ca, cb])\n if folded is not None:\n return _make_const(folded)\n\n return Node(op, children)\n\n\ndef _selection_score(idx, raw_fitnesses, sizes, preds=None):\n score = float(raw_fitnesses[idx])\n y = _GP_STATE.get('y')\n if preds is not None and y is not None:\n scaled_mse = _scaled_mse_from_pred(preds[idx], y)\n score = 0.7 * score + 0.3 * scaled_mse\n elite_pred = _GP_STATE.get('elite_pred')\n if elite_pred is not None:\n scale = float(np.mean(np.abs(y)) + 1e-6)\n novelty = float(np.mean(np.abs(preds[idx] - elite_pred))) / scale\n score -= _GP_STATE.get('novelty_weight', 0.01) * novelty / (1.0 + score)\n score += _GP_STATE.get('parsimony', 0.0) * (float(sizes[idx]) if sizes is not None else 0.0)\n return (score, float(sizes[idx]) if sizes is not None else 0.0)\n\n\ndef _tree_score(tree):\n X = _GP_STATE.get('X')\n y = _GP_STATE.get('y')\n if X is None or y is None:\n return float(tree.size())\n pred = safe_evaluate(tree, X)\n mse = float(np.mean((y - pred) ** 2))\n scaled_mse = _scaled_mse_from_pred(pred, y)\n score = 0.8 * mse + 0.2 * scaled_mse\n score += 0.5 * _GP_STATE.get('parsimony', 0.0) * tree.size()\n elite_pred = _GP_STATE.get('elite_pred')\n if elite_pred is not None:\n scale = float(np.mean(np.abs(y)) + 1e-6)\n novelty = float(np.mean(np.abs(pred - elite_pred))) / scale\n score -= _GP_STATE.get('novelty_weight', 0.01) * novelty / (1.0 + score)\n return score\n\n\ndef selection(population, fitnesses, n_select, _errors=None, _preds=None,\n _sizes=None, _case_weights=None):\n \"\"\"Residual-weighted epsilon lexicase on small candidate pools.\"\"\"\n selected = []\n pop_size = len(population)\n\n for _ in range(n_select):\n if _errors is None:\n candidates = random.sample(range(pop_size), min(7, pop_size))\n else:\n candidates = random.sample(range(pop_size), min(32, pop_size))\n n_cases = _errors.shape[1]\n if _case_weights is None:\n cases = list(range(n_cases))\n random.shuffle(cases)\n else:\n cases = list(np.random.choice(\n n_cases, size=n_cases, replace=False, p=_case_weights\n ))\n\n for case in cases:\n if len(candidates) <= 2:\n break\n errs = _errors[candidates, case]\n best = float(np.min(errs))\n med = float(np.median(errs))\n mad = float(np.median(np.abs(errs - med)))\n eps = best + 0.5 * mad + 0.05 * (med - best)\n candidates = [i for i, e in zip(candidates, errs) if e <= eps + 1e-12]\n\n winner = min(candidates, key=lambda i: _selection_score(i, fitnesses, _sizes, _preds))\n selected.append(population[winner].copy())\n return selected\n\n\ndef crossover(parent1, parent2, n_features, max_depth=17):\n \"\"\"Size-fair subtree crossover with semantic lookahead.\"\"\"\n best = parent1.copy()\n best_score = _tree_score(best)\n donor_nodes_full = parent2.get_all_nodes()\n if len(parent1.get_all_nodes()) <= 1 or len(donor_nodes_full) == 0:\n return best\n\n for _ in range(4):\n offspring = parent1.copy()\n off_nodes = offspring.get_all_nodes()\n if len(off_nodes) <= 1:\n break\n\n off_point = random.randint(1, len(off_nodes) - 1)\n target_size = off_nodes[off_point][0].size()\n donor_pool = random.sample(donor_nodes_full, min(6, len(donor_nodes_full)))\n donor_subtree = min(donor_pool, key=lambda t: abs(t[0].size() - target_size))[0].copy()\n\n _, parent, child_idx = off_nodes[off_point]\n if parent is not None:\n parent.children[child_idx] = donor_subtree\n else:\n offspring = donor_subtree\n\n offspring = _simplify(offspring)\n if offspring.depth() > max_depth:\n continue\n\n score = _tree_score(offspring)\n if score < best_score:\n best, best_score = offspring, score\n\n return best\n\n\ndef mutation(parent, n_features, max_depth=17):\n \"\"\"Multi-operator mutation with shrink and constant refinement.\"\"\"\n best = parent.copy()\n best_score = _tree_score(best)\n\n for kind in ['subtree', 'point', 'shrink', 'const', 'subtree']:\n offspring = parent.copy()\n nodes = offspring.get_all_nodes()\n\n if kind == 'subtree':\n idx = 0 if len(nodes) == 1 else random.randint(1, len(nodes) - 1)\n new_subtree = generate_tree('grow', 3, n_features)\n _, par, child_idx = nodes[idx]\n if par is None:\n offspring = new_subtree\n else:\n par.children[child_idx] = new_subtree\n\n elif kind == 'point':\n op_nodes = [(i, n) for i, (n, _, _) in enumerate(nodes) if not n.is_terminal]\n if not op_nodes:\n continue\n _, node = random.choice(op_nodes)\n arity = len(node.children)\n alternatives = [op for op, (_, a) in OPERATORS.items() if a == arity and op != node.value]\n if not alternatives:\n continue\n node.value = random.choice(alternatives)\n\n elif kind == 'shrink':\n internal = [(n, p, c) for n, p, c in [(n, p, c) for n, p, c in nodes] if len(n.children) > 0]\n if not internal:\n continue\n node, par, child_idx = random.choice(internal)\n replacement = random.choice(node.children).copy()\n if par is None:\n offspring = replacement\n else:\n par.children[child_idx] = replacement\n\n else: # const\n numeric = [n for n, _, _ in nodes if n.is_terminal and _const_value(n) is not None]\n if numeric:\n node = random.choice(numeric)\n base = float(node.value)\n candidates = [base + random.gauss(0.0, s) for s in (1.0, 0.5, 0.1)]\n node.value = str(round(random.choice(candidates), 4))\n else:\n terminals = [n for n, _, _ in nodes if n.is_terminal]\n if not terminals:\n continue\n node = random.choice(terminals)\n if isinstance(node.value, str) and node.value.startswith('x') and n_features > 1:\n node.value = f'x{random.randint(0, n_features - 1)}'\n else:\n node.value = str(round(random.uniform(-3.0, 3.0), 4))\n\n offspring = _simplify(offspring)\n if offspring.depth() > max_depth:\n continue\n\n score = _tree_score(offspring)\n if score < best_score:\n best, best_score = offspring, score\n\n return best\n\n\ndef evolve_one_generation(population, fitnesses, X_train, y_train,\n n_features, pop_size,\n crossover_rate=0.9, mutation_rate=0.05,\n max_depth=17):\n \"\"\"Residual-guided lexicase GP with lookahead variation and dual elitism.\"\"\"\n raw_fit = np.asa\n... (truncated)",
5 "after_line": 554,
6 "start_line": 228,
7 "end_line": 554
8}OK: Replaced lines 228..554 with 345 line(s) in gplearn/custom_sr.py. Editable range: 228–572.
[Current file: gplearn/custom_sr.py | editable: 228–572 | total: 649 lines]
228 def fitness_function(tree, X, y):
229 """Raw MSE fitness used for global best tracking."""
230 y_pred = safe_evaluate(tree, X)
... (339 more lines) ...
570 new_population.append(child)
571
572 return new_population[:pop_size][Test #2] (1 test remaining; call submit(n=N) to choose which test result to submit as final) ### nguyen7 (scripts/nguyen7.sh) Training metrics (last generations): TRAIN_METRICS generation=20 best_fitness=0.000862 avg_fitness=0.006641 best_size=10 train_r2=0.998815 TRAIN_METRICS generation=21 best_fitness=0.000862 avg_fitness=0.007364 best_size=10 train_r2=0.998815 TRAIN_METRICS generation=22 best_fitness=0.000862 avg_fitness=0.006231 best_size=10 train_r2=0.998815 TRAIN_METRICS generation=23 best_fitness=0.000862 avg_fitness=0.006423 best_size=10 train_r2=0.998815 TRAIN_METRICS generation=24 best_fitness=0.000824 avg_fitness=0.007147 best_size=10 train_r2=0.998868 ### nguyen10 (scripts/nguyen10.sh) Training metrics (last generations): TRAIN_METRICS generation=12 best_fitness=0.000000 avg_fitness=0.000000 best_size=9 train_r2=1.000000 TRAIN_METRICS generation=13 best_fitness=0.000000 avg_fitness=0.000000 best_size=9 train_r2=1.000000 TRAIN_METRICS generation=14 best_fitness=0.000000
[Test #3] (0 tests remaining; call submit(n=N) to choose which test result to submit as final) [NOTE] This was your last test. You MUST now call submit(n=X) to choose which test result to submit as your final answer. ## Seed 42 ### nguyen7 (scripts/nguyen7.sh) Training metrics (last generations): TRAIN_METRICS generation=20 best_fitness=0.000862 avg_fitness=0.006641 best_size=10 train_r2=0.998815 TRAIN_METRICS generation=21 best_fitness=0.000862 avg_fitness=0.007364 best_size=10 train_r2=0.998815 TRAIN_METRICS generation=22 best_fitness=0.000862 avg_fitness=0.006231 best_size=10 train_r2=0.998815 TRAIN_METRICS generation=23 best_fitness=0.000862 avg_fitness=0.006423 best_size=10 train_r2=0.998815 TRAIN_METRICS generation=24 best_fitness=0.000824 avg_fitness=0.007147 best_size=10 train_r2=0.998868 ### nguyen10 (scripts/nguyen10.sh) Training metrics (last generations): TRAIN_METRICS generation=12 best_fitness=0.000000 avg_fitness=0.000000 best_size=9 train_r2=1.000000 TRAIN_METRICS
Tool Input
1{
2 "n": 3
3}[submit] Submitting result from test #3 as final. ## Seed 42 ### nguyen7 (scripts/nguyen7.sh) Training metrics (last generations): TRAIN_METRICS generation=20 best_fitness=0.000862 avg_fitness=0.006641 best_size=10 train_r2=0.998815 TRAIN_METRICS generation=21 best_fitness=0.000862 avg_fitness=0.007364 best_size=10 train_r2=0.998815 TRAIN_METRICS generation=22 best_fitness=0.000862 avg_fitness=0.006231 best_size=10 train_r2=0.998815 TRAIN_METRICS generation=23 best_fitness=0.000862 avg_fitness=0.006423 best_size=10 train_r2=0.998815 TRAIN_METRICS generation=24 best_fitness=0.000824 avg_fitness=0.007147 best_size=10 train_r2=0.998868 ### nguyen10 (scripts/nguyen10.sh) Training metrics (last generations): TRAIN_METRICS generation=12 best_fitness=0.000000 avg_fitness=0.000000 best_size=9 train_r2=1.000000 TRAIN_METRICS generation=13 best_fitness=0.000000 avg_fitness=0.000000 best_size=9 train_r2=1.000000 TRAIN_METRICS generation=14 best_fitness=0.000000 avg_fitness=0.000000 best_size=