RL Iteration 22

Generated 2026-06-11T16:39:30

This HTML log was generated by logtree during RL training. It shows rollouts and rewards for a subset of trajectory groups in this iteration. To customize what gets logged, modify the logtree calls in your Env implementation (see examples in tinker_cookbook/recipes/).

Group Rollout

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Mrs. Kaplan has 1/4 as many pizza slices as Bobby has. If Bobby has 2 pizzas and each pizza has 6 slices, how many slices does Mrs. Kaplan have?

Policy Response

assistant:
1. Slices per Pizza = 6 slices. 2. Total Pizzas for Bobby = 2 pizzas. 3. Total Slices for Bobby = Slices per Pizza * Total Pizzas = 6 * 2 = 12 slices. 4. Mrs. Kaplan Slices = 1/4 * Bobby Slices = 1/4 * 12 = 3 slices. \boxed{3}

Reward

Reward components
key value
reference_answer 3
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Mrs. Kaplan has 1/4 as many pizza slices as Bobby has. If Bobby has 2 pizzas and each pizza has 6 slices, how many slices does Mrs. Kaplan have?

Policy Response

assistant:
1. Slices per Pizza = 6 slices. 2. Pizzas = 2 pizzas. 3. Total Slices for Bobby = Slices per Pizza * Pizzas = 6 * 2 = 12 slices. 4. Mrs. Kaplan Slices = 1/4 * Bobby Slices = 1/4 * 12 = 3 slices. \boxed{3}

Reward

Reward components
key value
reference_answer 3
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Mrs. Kaplan has 1/4 as many pizza slices as Bobby has. If Bobby has 2 pizzas and each pizza has 6 slices, how many slices does Mrs. Kaplan have?

Policy Response

assistant:
1. Slices per Pizza = 6 slices. 2. Total Pizzas for Bobby = 2 pizzas. 3. Total Slices for Bobby = Slices per Pizza * Total Pizzas = 6 * 2 = 12 slices. 4. Mrs. Kaplan Slices = 1/4 * Bobby Slices = 1/4 * 12 = 3 slices. \boxed{3}

Reward

Reward components
key value
reference_answer 3
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Mrs. Kaplan has 1/4 as many pizza slices as Bobby has. If Bobby has 2 pizzas and each pizza has 6 slices, how many slices does Mrs. Kaplan have?

Policy Response

assistant:
1. Slices per Pizza = 6 slices. 2. Total Pizzas = 2 pizzas. 3. Total Slices = Slices per Pizza * Total Pizzas = 6 * 2 = 12 slices. 4. Mrs. Kaplan Slices = 1/4 * Total Slices = 1/4 * 12 = 3 slices. \boxed{3}

Reward

Reward components
key value
reference_answer 3
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Mrs. Kaplan has 1/4 as many pizza slices as Bobby has. If Bobby has 2 pizzas and each pizza has 6 slices, how many slices does Mrs. Kaplan have?

Policy Response

assistant:
1. Slices per Pizza = 6 slices. 2. Total Pizzas for Bobby = 2 pizzas. 3. Total Slices for Bobby = Slices per Pizza * Pizzas = 6 * 2 = 12 slices. 4. Mrs. Kaplan Slices = 1/4 * Bobby Slices = 1/4 * 12 = 3 slices. \boxed{3}

Reward

Reward components
key value
reference_answer 3
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Mrs. Kaplan has 1/4 as many pizza slices as Bobby has. If Bobby has 2 pizzas and each pizza has 6 slices, how many slices does Mrs. Kaplan have?

Policy Response

assistant:
1. Slices per Pizza = 6 slices. 2. Total Pizzas = 2 pizzas. 3. Bobby's Total Slices = Slices per Pizza * Total Pizzas = 6 * 2 = 12 slices. 4. Mrs. Kaplan's Slices = 1/4 * Bobby's Total Slices = 1/4 * 12 = 3 slices. \boxed{3}

Reward

Reward components
key value
reference_answer 3
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Mrs. Kaplan has 1/4 as many pizza slices as Bobby has. If Bobby has 2 pizzas and each pizza has 6 slices, how many slices does Mrs. Kaplan have?

Policy Response

assistant:
1. **Slices per Pizza:** 6 slices. 2. **Total Pizzas for Bobby:** 2 pizzas. 3. **Total Slices for Bobby:** 2 pizzas * 6 slices = 12 slices. 4. **Mrs. Kaplan's Slices:** 1/4 * 12 slices = 3 slices. \boxed{3}

Reward

Reward components
key value
reference_answer 3
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Mrs. Kaplan has 1/4 as many pizza slices as Bobby has. If Bobby has 2 pizzas and each pizza has 6 slices, how many slices does Mrs. Kaplan have?

Policy Response

assistant:
1. Slices per Pizza = 6 slices. 2. Total Pizzas = 2 pizzas. 3. Bobby's Total Slices = Slices per Pizza * Total Pizzas = 6 * 2 = 12 slices. 4.Mrs. Kaplan Slices = 1/4 * Bobby's Total Slices = 1/4 * 12 = 3 slices. \boxed{3}

Reward

Reward components
key value
reference_answer 3
format_valid True
correct True
format_coef 0.1
reward 1.000

Trajectory Details

Trajectory 0 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 92
ac_len 90
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 1 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 92
ac_len 91
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 2 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 92
ac_len 87
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 3 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 92
ac_len 81
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 4 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 92
ac_len 87
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 5 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 92
ac_len 91
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 6 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 92
ac_len 92
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 7 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 92
ac_len 91
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Group Rollout

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Corna wants to buy a shirt. The store buys the shirt for $20, but charges 30% for profit. However, the shirt is on sale for 50% off the selling price. What is the price now?

Policy Response

assistant:
1. **Cost to Store:** $20 2. **Profit Percentage:** 30% 3. **Selling Price (Regular):** Selling Price = Cost + (Profit % * Cost) Selling Price = 20 + (0.30 * 20) Selling Price = 20 + 6 Selling Price = 26 4. **Sale Discount:** 50% 5. **Sale Price:** Sale Price = Selling Price * (1 - Discount %) Sale Price = 26 * (1 - 0.50) Sale Price = 26 * 0.50 Sale Price = 13 \boxed{13}

Reward

Reward components
key value
reference_answer 13
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Corna wants to buy a shirt. The store buys the shirt for $20, but charges 30% for profit. However, the shirt is on sale for 50% off the selling price. What is the price now?

Policy Response

assistant:
1. **Cost to Store:** $20 2. **Profit Percentage:** 30% 3. **Selling Price:** Selling Price = Cost + (Cost * Profit Percentage) Selling Price = 20 + (20 * 0.30) Selling Price = 20 + 6 Selling Price = 26 4. **Sale Discount:** 50% 5. **Price Now:** Price Now = Selling Price * (1 - Sale Discount) Price Now = 26 * (1 - 0.50) Price Now = 26 * 0.50 Price Now = 13 \boxed{13}

Reward

Reward components
key value
reference_answer 13
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Corna wants to buy a shirt. The store buys the shirt for $20, but charges 30% for profit. However, the shirt is on sale for 50% off the selling price. What is the price now?

Policy Response

assistant:
1. **Cost to Store:** $20 2. **Profit Percentage:** 30% = 0.30 3. **Selling Price:** Cost + (Cost * Profit Percentage) Selling Price = 20 + (20 * 0.30) Selling Price = 20 + 6 Selling Price = 26 4. **Sale Discount:** 50% = 0.50 5. **Sale Price:** Selling Price * (1 - Sale Discount) Sale Price = 26 * (1 - 0.50) Sale Price = 26 * 0.50 Sale Price = 13 \boxed{13}

Reward

Reward components
key value
reference_answer 13
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Corna wants to buy a shirt. The store buys the shirt for $20, but charges 30% for profit. However, the shirt is on sale for 50% off the selling price. What is the price now?

Policy Response

assistant:
1. **Cost to Store:** $20 2. **Profit Percentage:** 30% 3. **Selling Price Calculation:** Selling Price = Cost + (Profit % * Cost) Selling Price = 20 + (0.30 * 20) Selling Price = 20 + 6 Selling Price = 26 4. **Sale Discount:** 50% 5. **Sale Price Calculation:** Sale Price = Selling Price * (1 - Sale %) Sale Price = 26 * (1 - 0.50) Sale Price = 26 * 0.50 Sale Price = 13 \boxed{13}

Reward

Reward components
key value
reference_answer 13
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Corna wants to buy a shirt. The store buys the shirt for $20, but charges 30% for profit. However, the shirt is on sale for 50% off the selling price. What is the price now?

Policy Response

assistant:
1. **Cost to Store:** $20 2. **Profit Percentage:** 30% 3. **Selling Price = Cost + (Profit % * Cost)** Selling Price = 20 + (0.30 * 20) Selling Price = 20 + 6 Selling Price = 26 4. **Sale Discount:** 50% 5. **Sale Price = Selling Price * (1 - Discount %)** Sale Price = 26 * (1 - 0.50) Sale Price = 26 * 0.50 Sale Price = 13 \boxed{13}

Reward

Reward components
key value
reference_answer 13
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Corna wants to buy a shirt. The store buys the shirt for $20, but charges 30% for profit. However, the shirt is on sale for 50% off the selling price. What is the price now?

Policy Response

assistant:
1. **Store Cost:** $20 2. **Profit Percentage:** 30% = 0.30 3. **Selling Price:** Selling Price = Store Cost + (Store Cost * Profit Percentage) Selling Price = 20 + (20 * 0.30) Selling Price = 20 + 6 Selling Price = 26 4. **Sale Discount:** 50% = 0.50 5. **Sale Price:** Sale Price = Selling Price * (1 - Sale Discount) Sale Price = 26 * (1 - 0.50) Sale Price = 26 * 0.50 Sale Price = 13 \boxed{13}

Reward

Reward components
key value
reference_answer 13
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Corna wants to buy a shirt. The store buys the shirt for $20, but charges 30% for profit. However, the shirt is on sale for 50% off the selling price. What is the price now?

Policy Response

assistant:
1. **Cost to Store:** $20 2. **Profit Percentage:** 30% = 0.30 3. **Selling Price:** Selling Price = Cost + (Cost * Profit Percentage) Selling Price = 20 + (20 * 0.30) Selling Price = 20 + 6 = 26 4. **Sale Discount:** 50% = 0.50 5. **Sale Price:** Sale Price = Selling Price * (1 - Discount) Sale Price = 26 * (1 - 0.50) Sale Price = 26 * 0.50 = 13 \boxed{13}

Reward

Reward components
key value
reference_answer 13
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Corna wants to buy a shirt. The store buys the shirt for $20, but charges 30% for profit. However, the shirt is on sale for 50% off the selling price. What is the price now?

Policy Response

assistant:
1. **Cost to Store:** $20. 2. **Profit Percentage:** 30% = 0.30. 3. **Selling Price:** Selling Price = Cost + (Profit % * Cost) Selling Price = 20 + (0.30 * 20) Selling Price = 20 + 6 Selling Price = 26 4. **Sale Discount:** 50% = 0.50. 5. **Price Now:** Price Now = Selling Price * (1 - Sale Discount) Price Now = 26 * (1 - 0.50) Price Now = 26 * 0.50 Price Now = 13 \boxed{13}

Reward

Reward components
key value
reference_answer 13
format_valid True
correct True
format_coef 0.1
reward 1.000

Trajectory Details

Trajectory 0 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 103
ac_len 162
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 1 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 103
ac_len 150
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 2 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 103
ac_len 160
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 3 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 103
ac_len 162
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 4 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 103
ac_len 175
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 5 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 103
ac_len 163
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 6 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 103
ac_len 161
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 7 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 103
ac_len 173
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Group Rollout

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
A farm has 100 chickens. 20 percent are Black Copper Marans, and 80 percent of the Black Copper Marans are hens. How many BCM hens are there?

Policy Response

assistant:
1. Total Chickens = 100 2. Black Copper Marans (BCM) = 20% of Total Chickens BCM = 0.20 * 100 = 20 3. BCM Hens = 80% of BCM BCM Hens = 0.80 * 20 = 16 \boxed{16}

Reward

Reward components
key value
reference_answer 16
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
A farm has 100 chickens. 20 percent are Black Copper Marans, and 80 percent of the Black Copper Marans are hens. How many BCM hens are there?

Policy Response

assistant:
1. Total Chickens = 100 2. Black Copper Marans (BCM) = 20% of Total Chickens 3. BCM = 0.20 * 100 = 20 4. Hens = 80% of BCM 5. Hens = 0.80 * 20 = 16 \boxed{16}

Reward

Reward components
key value
reference_answer 16
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
A farm has 100 chickens. 20 percent are Black Copper Marans, and 80 percent of the Black Copper Marans are hens. How many BCM hens are there?

Policy Response

assistant:
1. Total Chickens = 100 2. Black Copper Marans (BCM) = 20% of Total Chickens BCM = 0.20 * 100 = 20 3. BCM Hens = 80% of BCM BCM Hens = 0.80 * 20 = 16 \boxed{16}

Reward

Reward components
key value
reference_answer 16
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
A farm has 100 chickens. 20 percent are Black Copper Marans, and 80 percent of the Black Copper Marans are hens. How many BCM hens are there?

Policy Response

assistant:
1. Total Chickens = 100 2. Black Copper Marans (BCM) = 20% of Total Chickens 3. BCM = 0.20 * 100 = 20 4. BCM Hens = 80% of BCM 5. BCM Hens = 0.80 * 20 = 16 \boxed{16}

Reward

Reward components
key value
reference_answer 16
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
A farm has 100 chickens. 20 percent are Black Copper Marans, and 80 percent of the Black Copper Marans are hens. How many BCM hens are there?

Policy Response

assistant:
1. Total Chickens = 100 2. Black Copper Marans (BCM) = 20% of Total Chickens 3. BCM = 0.20 * 100 = 20 4. BCM Hens = 80% of BCM 5. BCM Hens = 0.80 * 20 = 16 \boxed{16}

Reward

Reward components
key value
reference_answer 16
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
A farm has 100 chickens. 20 percent are Black Copper Marans, and 80 percent of the Black Copper Marans are hens. How many BCM hens are there?

Policy Response

assistant:
1. Total Chickens = 100 2. Black Copper Marans (BCM) = 20% of Total Chickens BCM = 0.20 * 100 = 20 3. Hens = 80% of BCM Hens = 0.80 * 20 = 16 \boxed{16}

Reward

Reward components
key value
reference_answer 16
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
A farm has 100 chickens. 20 percent are Black Copper Marans, and 80 percent of the Black Copper Marans are hens. How many BCM hens are there?

Policy Response

assistant:
1. Total Chickens = 100 2. BCM Chickens = 20% of Total Chickens = 0.20 * 100 = 20 3. BCM Hens = 80% of BCM Chickens = 0.80 * 20 = 16 \boxed{16}

Reward

Reward components
key value
reference_answer 16
format_valid True
correct True
format_coef 0.1
reward 1.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
A farm has 100 chickens. 20 percent are Black Copper Marans, and 80 percent of the Black Copper Marans are hens. How many BCM hens are there?

Policy Response

assistant:
1. Total Chickens = 100 2. Black Copper Marans (BCM) = 20% of Total Chickens BCM = 0.20 * 100 = 20 3. BCM Hens = 80% of BCM BCM Hens = 0.80 * 20 = 16 \boxed{16}

Reward

Reward components
key value
reference_answer 16
format_valid True
correct True
format_coef 0.1
reward 1.000

Trajectory Details

Trajectory 0 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 95
ac_len 87
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 1 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 95
ac_len 90
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 2 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 95
ac_len 87
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 3 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 95
ac_len 77
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 4 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 95
ac_len 89
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 5 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 95
ac_len 87
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 6 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 95
ac_len 85
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 7 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 95
ac_len 87
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Group Rollout

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Gunner has a box of mittens with 20 fewer pairs than a box of plugs. He decides to put 30 more pairs of plugs into the box of plugs. If the box of mittens has 150 pairs of mittens, how many plugs are there?

Policy Response

assistant:
1. Box of Plugs = Box of Mittens - 20 Pairs 2. Box of Plugs = 150 Pairs - 20 Pairs = 130 Pairs 3. Plugs After Adding = Box of Plugs + 30 Pairs 4. Plugs After Adding = 130 Pairs + 30 Pairs = 160 Pairs \boxed{160}

Reward

Reward components
key value
reference_answer 400
format_valid True
correct False
format_coef 0.1
reward 0.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Gunner has a box of mittens with 20 fewer pairs than a box of plugs. He decides to put 30 more pairs of plugs into the box of plugs. If the box of mittens has 150 pairs of mittens, how many plugs are there?

Policy Response

assistant:
1. Pairs of Plugs = Pairs of Mittens - Fewer Pairs 2. Pairs of Plugs = 150 - 20 = 130 3. Pairs of Plugs + More Pairs = New Pairs of Plugs 4. New Pairs of Plugs = 130 + 30 = 160 \boxed{160}

Reward

Reward components
key value
reference_answer 400
format_valid True
correct False
format_coef 0.1
reward 0.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Gunner has a box of mittens with 20 fewer pairs than a box of plugs. He decides to put 30 more pairs of plugs into the box of plugs. If the box of mittens has 150 pairs of mittens, how many plugs are there?

Policy Response

assistant:
1. Pairs of Plugs = Pairs of Mittens - 20 2. Pairs of Plugs = 150 - 20 = 130 3. Mitzens + Additional Plugs = New Pairs of Plugs 4. 130 + 30 = 160 \boxed{160}

Reward

Reward components
key value
reference_answer 400
format_valid True
correct False
format_coef 0.1
reward 0.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Gunner has a box of mittens with 20 fewer pairs than a box of plugs. He decides to put 30 more pairs of plugs into the box of plugs. If the box of mittens has 150 pairs of mittens, how many plugs are there?

Policy Response

assistant:
1. Pairs of Plugs Initial = Pairs of Mittens - 20 2. Pairs of Plugs Initial = 150 - 20 = 130 3. Pairs of Plugs Final = Pairs of Plugs Initial + 30 4. Pairs of Plugs Final = 130 + 30 = 160 \boxed{160}

Reward

Reward components
key value
reference_answer 400
format_valid True
correct False
format_coef 0.1
reward 0.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Gunner has a box of mittens with 20 fewer pairs than a box of plugs. He decides to put 30 more pairs of plugs into the box of plugs. If the box of mittens has 150 pairs of mittens, how many plugs are there?

Policy Response

assistant:
1. Pairs of Mittens = Pairs of Plugs - 20 2. Pairs of Plugs = Pairs of Mittens + 20 3. Pairs of Mittens = 150 4. Pairs of Plugs = 150 + 20 = 170 5. He puts 30 more pairs of plugs into the box. 6. Total Plugs = Pairs of Plugs + 30 7. Total Plugs = 170 + 30 = 200 \boxed{200}

Reward

Reward components
key value
reference_answer 400
format_valid True
correct False
format_coef 0.1
reward 0.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Gunner has a box of mittens with 20 fewer pairs than a box of plugs. He decides to put 30 more pairs of plugs into the box of plugs. If the box of mittens has 150 pairs of mittens, how many plugs are there?

Policy Response

assistant:
1. Mitten Pairs = Box of Plugs - 20 2. 150 = Box of Plugs - 20 3. Box of Plugs = 150 + 20 4. Box of Plugs = 170 5. New Plugs = Box of Plugs + 30 6. New Plugs = 170 + 30 7. New Plugs = 200 \boxed{200}

Reward

Reward components
key value
reference_answer 400
format_valid True
correct False
format_coef 0.1
reward 0.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Gunner has a box of mittens with 20 fewer pairs than a box of plugs. He decides to put 30 more pairs of plugs into the box of plugs. If the box of mittens has 150 pairs of mittens, how many plugs are there?

Policy Response

assistant:
1. Mittens Pairs = Plugs Pairs - 20 2. Plugs Pairs = Mittens Pairs + 20 3. Plugs Pairs = 150 + 20 = 170 4. Plugs Pairs + 30 = Final Plugs 5. Final Plugs = 170 + 30 = 200 \boxed{200}

Reward

Reward components
key value
reference_answer 400
format_valid True
correct False
format_coef 0.1
reward 0.000

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Gunner has a box of mittens with 20 fewer pairs than a box of plugs. He decides to put 30 more pairs of plugs into the box of plugs. If the box of mittens has 150 pairs of mittens, how many plugs are there?

Policy Response

assistant:
1. **Mittens Pairs**: The box of mittens has 150 pairs. 2. **Plugs Pairs (Initial)**: - Mittens Pairs = Plugs Pairs - 20 - 150 = Plugs Pairs - 20 - Plugs Pairs = 150 + 20 = 170 3. **Plugs Pairs (After Adding)**: - Plugs Pairs = Initial Plugs Pairs + 30 - Plugs Pairs = 170 + 30 = 200 \boxed{200}

Reward

Reward components
key value
reference_answer 400
format_valid True
correct False
format_coef 0.1
reward 0.000

Trajectory Details

Trajectory 0 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 112
ac_len 91
step_reward 0.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 0.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 0.000
final_group_reward 0.000
total_return 0.000

Trajectory 1 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 112
ac_len 131
step_reward 0.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 0.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 0.000
final_group_reward 0.000
total_return 0.000

Trajectory 2 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 112
ac_len 96
step_reward 0.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 0.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 0.000
final_group_reward 0.000
total_return 0.000

Trajectory 3 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 112
ac_len 146
step_reward 0.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 0.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 0.000
final_group_reward 0.000
total_return 0.000

Trajectory 4 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 112
ac_len 109
step_reward 0.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 0.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 0.000
final_group_reward 0.000
total_return 0.000

Trajectory 5 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 112
ac_len 81
step_reward 0.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 0.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 0.000
final_group_reward 0.000
total_return 0.000

Trajectory 6 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 112
ac_len 93
step_reward 0.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 0.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 0.000
final_group_reward 0.000
total_return 0.000

Trajectory 7 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 112
ac_len 98
step_reward 0.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 0.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 0.000
final_group_reward 0.000
total_return 0.000