RL Iteration 2

Generated 2026-06-11T16:35:34

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:
Hot dog buns come in packages of 8. For the school picnic, Mr. Gates bought 30 packages of hot dog buns. He has four classes with 30 students in each class. How many hot dog buns can each of Mr. Gates' students get?

Policy Response

assistant:
First, calculate the total number of hot dog buns: 30 packages $\times$ 8 buns/package = 240 buns. Next, calculate the total number of students: 4 classes $\times$ 30 students/class = 120 students. Finally, divide the total number of buns by the total number of students to find how many buns each student can get: 240 buns / 120 students = 2 buns/student. \boxed{2}

Reward

Reward components
key value
reference_answer 2
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:
Hot dog buns come in packages of 8. For the school picnic, Mr. Gates bought 30 packages of hot dog buns. He has four classes with 30 students in each class. How many hot dog buns can each of Mr. Gates' students get?

Policy Response

assistant:
Mr. Gates bought 30 packages of hot dog buns, with 8 buns per package: $$30 \times 8 = 240 \text{ buns}$$ He has four classes with 30 students in each class, so the total number of students is: $$4 \times 30 = 120 \text{ students}$$ To find how many hot dog buns each student gets, divide the total number of buns by the total number of students: $$240 \times 1 \div 120 = 2$$ Each student can get 2 hot dog buns. $\boxed{2}$

Reward

Reward components
key value
reference_answer 2
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:
Hot dog buns come in packages of 8. For the school picnic, Mr. Gates bought 30 packages of hot dog buns. He has four classes with 30 students in each class. How many hot dog buns can each of Mr. Gates' students get?

Policy Response

assistant:
First, calculate the total number of hot dog buns: 30 packages * 8 buns/package = 240 buns. Next, calculate the total number of students: 4 classes * 30 students/class = 120 students. Then, determine how many buns each student gets by dividing the total buns by the total students: 240 buns / 120 students = 2 buns/student. Mr. Gates' students can get 2 hot dog buns each. \boxed{2}

Reward

Reward components
key value
reference_answer 2
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:
Hot dog buns come in packages of 8. For the school picnic, Mr. Gates bought 30 packages of hot dog buns. He has four classes with 30 students in each class. How many hot dog buns can each of Mr. Gates' students get?

Policy Response

assistant:
Mr. Gates bought 30 packages of hot dog buns. Each package contains 8 buns. Total buns = $30 \times 8 = 240$. He has four classes with 30 students in each class. Total students = $4 \times 30 = 120$. To find how many buns each student can get, divide the total number of buns by the total number of students: $240 \div 120 = 2$. Each student can get 2 hot dog buns. \boxed{2}

Reward

Reward components
key value
reference_answer 2
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:
Hot dog buns come in packages of 8. For the school picnic, Mr. Gates bought 30 packages of hot dog buns. He has four classes with 30 students in each class. How many hot dog buns can each of Mr. Gates' students get?

Policy Response

assistant:
First, calculate the total number of hot dog buns: 30 packages $\times$ 8 buns/package = 240 buns. Next, calculate the total number of students: 4 classes $\times$ 30 students/class = 120 students. Finally, divide the total number of buns by the number of students: 240 buns / 120 students = 2 buns/student. Each student gets 2 hot dog buns. \boxed{2}

Reward

Reward components
key value
reference_answer 2
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:
Hot dog buns come in packages of 8. For the school picnic, Mr. Gates bought 30 packages of hot dog buns. He has four classes with 30 students in each class. How many hot dog buns can each of Mr. Gates' students get?

Policy Response

assistant:
First, calculate the total number of hot dog buns bought: 30 packages $\times$ 8 buns/package = 240 buns. Next, calculate the total number of students: 4 classes $\times$ 30 students/class = 120 students. Finally, divide the total number of buns by the total number of students to find how many buns each student gets: 240 buns / 120 students = 2 buns per student. \boxed{2}

Reward

Reward components
key value
reference_answer 2
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:
Hot dog buns come in packages of 8. For the school picnic, Mr. Gates bought 30 packages of hot dog buns. He has four classes with 30 students in each class. How many hot dog buns can each of Mr. Gates' students get?

Policy Response

assistant:
First, calculate the total number of hot dog buns: 30 packages * 8 buns/package = 240 buns. Next, calculate the total number of students: 4 classes * 30 students/class = 120 students. Finally, divide the total number of buns by the total number of students to find how many each student gets: 240 buns / 120 students = 2 buns per student. \boxed{2}

Reward

Reward components
key value
reference_answer 2
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:
Hot dog buns come in packages of 8. For the school picnic, Mr. Gates bought 30 packages of hot dog buns. He has four classes with 30 students in each class. How many hot dog buns can each of Mr. Gates' students get?

Policy Response

assistant:
First, calculate the total number of students: 4 classes * 30 students/class = 120 students. Next, calculate the total number of hot dog buns: 30 packages * 8 buns/package = 240 buns. Finally, divide the total number of buns by the total number of students to find how many buns each student gets: 240 buns / 120 students = 2 buns/student. \boxed{2}

Reward

Reward components
key value
reference_answer 2
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 112
ac_len 114
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 112
ac_len 113
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 112
ac_len 113
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 112
ac_len 108
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 112
ac_len 148
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 112
ac_len 131
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 112
ac_len 107
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 112
ac_len 121
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:
Jon buys 2 coffees a day from his favorite coffee shop. They cost $2 each. How much does he spend in April?

Policy Response

assistant:
Jon buys 2 coffees a day, and each costs $2. Total cost per day = 2 coffees * $2/coffee = $4. April has 30 days. Total cost in April = $4/day * 30 days = $120. \boxed{120}

Reward

Reward components
key value
reference_answer 120
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:
Jon buys 2 coffees a day from his favorite coffee shop. They cost $2 each. How much does he spend in April?

Policy Response

assistant:
Jon buys 2 coffees a day at $2 each. Cost per day = $2 \times 2 = $4$. April has 30 days. Total cost for April = $4 per day \times 30 days = $120$. \boxed{120}

Reward

Reward components
key value
reference_answer 120
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:
Jon buys 2 coffees a day from his favorite coffee shop. They cost $2 each. How much does he spend in April?

Policy Response

assistant:
Jon buys 2 coffees a day at $2 each, so he spends $4 a day. April has 30 days. Total spending = $4/day * 30 days = $120. \boxed{120}

Reward

Reward components
key value
reference_answer 120
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:
Jon buys 2 coffees a day from his favorite coffee shop. They cost $2 each. How much does he spend in April?

Policy Response

assistant:
Jon buys 2 coffees a day. Each coffee costs $2. So, he spends $2 \times 2 = $4 per day. April has 30 days. Total cost for April = Daily cost $\times$ Number of days = $4 \times 30 = $120. \boxed{120}

Reward

Reward components
key value
reference_answer 120
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:
Jon buys 2 coffees a day from his favorite coffee shop. They cost $2 each. How much does he spend in April?

Policy Response

assistant:
Jon buys 2 coffees a day, and each costs $2, so he spends $2 + $2 = $4 per day. April has 30 days. Total expense = $4/day * 30 days = $120. \boxed{120}

Reward

Reward components
key value
reference_answer 120
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:
Jon buys 2 coffees a day from his favorite coffee shop. They cost $2 each. How much does he spend in April?

Policy Response

assistant:
Jon buys 2 coffees a day, and each coffee costs $2. Daily cost = 2 coffees * $2/coffee = $4. April usually has 30 days. Total cost for April = $4/day * 30 days = $120. \boxed{120}

Reward

Reward components
key value
reference_answer 120
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:
Jon buys 2 coffees a day from his favorite coffee shop. They cost $2 each. How much does he spend in April?

Policy Response

assistant:
Jon buys 2 coffees a day. The cost is $2 each. Cost per day = 2 coffees * $2/coffee = $4. April has 30 days. Total cost = Cost per day * Number of days Total cost = $4 * 30 = $120. \boxed{120}

Reward

Reward components
key value
reference_answer 120
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:
Jon buys 2 coffees a day from his favorite coffee shop. They cost $2 each. How much does he spend in April?

Policy Response

assistant:
Jon buys 2 coffees a day at $2 each, so the daily cost is $2 \times 2 = $4$. April has 30 days. Total cost for April = Daily cost $\times$ Number of days Total cost = $4 \times 30 = $120$. \boxed{120}

Reward

Reward components
key value
reference_answer 120
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 83
ac_len 67
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 83
ac_len 64
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 83
ac_len 76
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 83
ac_len 71
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 83
ac_len 79
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 83
ac_len 78
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 83
ac_len 71
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 83
ac_len 56
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:
There are 4,000 jelly beans in a jar. If three fourths of the jelly beans are red, and one quarter of the red jelly beans are coconut flavored, how many jelly beans are coconut flavored?

Policy Response

assistant:
First, find the number of red jelly beans: $$ \frac{3}{4} \times 4,000 = 3,000 $$ Next, find the number of coconut flavored jelly beans, which is one quarter of the red ones: $$ \frac{1}{4} \times 3,000 = 750 $$ So, there are 750 coconut flavored jelly beans. \boxed{750}

Reward

Reward components
key value
reference_answer 750
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:
There are 4,000 jelly beans in a jar. If three fourths of the jelly beans are red, and one quarter of the red jelly beans are coconut flavored, how many jelly beans are coconut flavored?

Policy Response

assistant:
First, find the number of red jelly beans: $4,000 \times \frac{3}{4} = 3,000$ Next, find the number of coconut flavored jelly beans: $3,000 \times \frac{1}{4} = 750$ There are 750 coconut flavored jelly beans. \boxed{750}

Reward

Reward components
key value
reference_answer 750
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:
There are 4,000 jelly beans in a jar. If three fourths of the jelly beans are red, and one quarter of the red jelly beans are coconut flavored, how many jelly beans are coconut flavored?

Policy Response

assistant:
Total jelly beans = 4,000 Red jelly beans = $\frac{3}{4} \times 4,000 = 3,000$ Coconut flavored jelly beans = $\frac{1}{4} \times 3,000 = 750$ \boxed{750}

Reward

Reward components
key value
reference_answer 750
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:
There are 4,000 jelly beans in a jar. If three fourths of the jelly beans are red, and one quarter of the red jelly beans are coconut flavored, how many jelly beans are coconut flavored?

Policy Response

assistant:
First, find the number of red jelly beans: $4,000 \times \frac{3}{4} = 3,000$. Next, find the number of coconut flavored jelly beans, which is one quarter of the red jelly beans: $3,000 \times \frac{1}{4} = 750$. There are 750 coconut flavored jelly beans. \boxed{750}

Reward

Reward components
key value
reference_answer 750
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:
There are 4,000 jelly beans in a jar. If three fourths of the jelly beans are red, and one quarter of the red jelly beans are coconut flavored, how many jelly beans are coconut flavored?

Policy Response

assistant:
1. Calculate the number of red jelly beans: $ \frac{3}{4} \times 4000 = 3000 $ 2. Calculate the number of coconut flavored jelly beans (one quarter of the red jelly beans): $ \frac{1}{4} \times 3000 = 750 $ The number of coconut flavored jelly beans is 750. \boxed{750}

Reward

Reward components
key value
reference_answer 750
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:
There are 4,000 jelly beans in a jar. If three fourths of the jelly beans are red, and one quarter of the red jelly beans are coconut flavored, how many jelly beans are coconut flavored?

Policy Response

assistant:
First, find the number of red jelly beans: $$ \frac{3}{4} \times 4000 = 3000 $$ Next, find the number of coconut flavored jelly beans, which is one quarter of the red ones: $$ \frac{1}{4} \times 3000 = 750 $$ There are 750 coconut flavored jelly beans. \boxed{750}

Reward

Reward components
key value
reference_answer 750
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:
There are 4,000 jelly beans in a jar. If three fourths of the jelly beans are red, and one quarter of the red jelly beans are coconut flavored, how many jelly beans are coconut flavored?

Policy Response

assistant:
1. First, find the number of red jelly beans: $4,000 \times \frac{3}{4} = 1,200 \times 3 = 3,600$. 2. Next, find the number of coconut flavored jelly beans (one quarter of the red ones): $3,600 \times \frac{1}{4} = 900$. There are 900 coconut flavored jelly beans. \boxed{900}

Reward

Reward components
key value
reference_answer 750
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:
There are 4,000 jelly beans in a jar. If three fourths of the jelly beans are red, and one quarter of the red jelly beans are coconut flavored, how many jelly beans are coconut flavored?

Policy Response

assistant:
First, find the number of red jelly beans: $\frac{3}{4} \times 4,000 = 3,000$ Next, find the number of coconut flavored jelly beans (which are one quarter of the red ones): $\frac{1}{4} \times 3,000 = 750$ There are 750 coconut flavored jelly beans. \boxed{750}

Reward

Reward components
key value
reference_answer 750
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 98
ac_len 98
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 98
ac_len 97
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 98
ac_len 75
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 98
ac_len 115
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 98
ac_len 102
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 98
ac_len 99
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 98
ac_len 100
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 98
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

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:
James needs 200 blueberries to make a pint of blueberry jam and then a quart of blueberry jam to make a blueberry pie. If there are two pints per quart, how many blueberries does James need to pick to make 6 pies?

Policy Response

assistant:
To make 1 pie, James needs: 1 quart of jam = 2 pints of jam = 2 pints * 200 blueberries/pint = 400 blueberries To make 6 pies, James needs: 6 pies * 400 blueberries/pie = 2400 blueberries \boxed{2400}

Reward

Reward components
key value
reference_answer 2400
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:
James needs 200 blueberries to make a pint of blueberry jam and then a quart of blueberry jam to make a blueberry pie. If there are two pints per quart, how many blueberries does James need to pick to make 6 pies?

Policy Response

assistant:
To make 1 pie, James needs: 1 quart of jam = 2 pints of jam = $200 \text{ blueberries/pint} \times 2 \text{ pints} = 400 \text{ blueberries}$ To make 6 pies, James needs: $6 \text{ pies} \times 400 \text{ blueberries/pie} = 2400 \text{ blueberries}$ \boxed{2400}

Reward

Reward components
key value
reference_answer 2400
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:
James needs 200 blueberries to make a pint of blueberry jam and then a quart of blueberry jam to make a blueberry pie. If there are two pints per quart, how many blueberries does James need to pick to make 6 pies?

Policy Response

assistant:
To find the total number of blueberries needed: 1. **Blueberries per pie**: * 1 quart = 2 pints. * Blueberries needed = 2 pints/pie $\times$ 200 blueberries/pint = 400 blueberries/pie. 2. **Blueberries for 6 pies**: * Total blueberries = 400 blueberries/pie $\times$ 6 pies = 2,400 blueberries. \boxed{2400}

Reward

Reward components
key value
reference_answer 2400
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:
James needs 200 blueberries to make a pint of blueberry jam and then a quart of blueberry jam to make a blueberry pie. If there are two pints per quart, how many blueberries does James need to pick to make 6 pies?

Policy Response

assistant:
To make 6 pies, James needs: 1. **Jam for pies**: 6 pies * 1 quart/pie = 6 quarts. 2. **Pints of jam**: 6 quarts * 2 pints/quart = 12 pints. 3. **Blueberries**: 12 pints * 200 blueberries/pint = 2,400 blueberries. James also needs a pint of blueberries to make the first pie (the jam for the first pie is made from the initial 1 pint mentioned in the problem description "make a pint of blueberry jam and then a quart..."). So total blueberries = 2,400 (for jam) + 200 (for the initial pint) = 2,600. \boxed{2600}

Reward

Reward components
key value
reference_answer 2400
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:
James needs 200 blueberries to make a pint of blueberry jam and then a quart of blueberry jam to make a blueberry pie. If there are two pints per quart, how many blueberries does James need to pick to make 6 pies?

Policy Response

assistant:
To make one pie, James needs: 1. One quart of jam. 2. Since there are two pints per quart, this requires 2 pints of jam. 3. Each pint requires 200 blueberries, so 2 pints require $2 \times 200 = 400$ blueberries. To make 6 pies, he needs $6 \times 400$ blueberries. $6 \times 400 = 2400$. James needs to pick 2400 blueberries. \boxed{2400}

Reward

Reward components
key value
reference_answer 2400
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:
James needs 200 blueberries to make a pint of blueberry jam and then a quart of blueberry jam to make a blueberry pie. If there are two pints per quart, how many blueberries does James need to pick to make 6 pies?

Policy Response

assistant:
To make 6 pies, James needs blueberries for: 1. **Jams for pies**: Each pie requires 1 quart. Since there are 2 pints per quart, 6 pies require $6 \times 2 = 12$ pints. - Blueberries for jams: $12 \text{ pints} \times 200 \text{ blueberries/pint} = 2400 \text{ blueberries}$. 2. **Blueberry pies**: Each pie already includes the jam, so no extra jam is needed beyond what is counted in step 1. Total blueberries = $2400$. \boxed{2400}

Reward

Reward components
key value
reference_answer 2400
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:
James needs 200 blueberries to make a pint of blueberry jam and then a quart of blueberry jam to make a blueberry pie. If there are two pints per quart, how many blueberries does James need to pick to make 6 pies?

Policy Response

assistant:
To find the total number of blueberries James needs, we follow these steps: 1. **Calculate blueberries per pie:** * 1 pint = 200 blueberries. * 1 quart = 2 pints = $2 \times 200 = 400$ blueberries. * 1 pie = 1 quart = 400 blueberries. 2. **Calculate blueberries for 6 pies:** * Total blueberries = Blueberries per pie $\times$ Number of pies * Total blueberries = $400 \times 6$ * Total blueberries = $2400$ James needs to pick 2400 blueberries. \boxed{2400}

Reward

Reward components
key value
reference_answer 2400
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:
James needs 200 blueberries to make a pint of blueberry jam and then a quart of blueberry jam to make a blueberry pie. If there are two pints per quart, how many blueberries does James need to pick to make 6 pies?

Policy Response

assistant:
James needs 200 blueberries for a pint of jam. To make a quart of jam, he needs 2 pints of jam (since there are two pints per quart). So, for one quart of jam: $200 \text{ blueberries/pint} \times 2 \text{ pints/quart} = 400 \text{ blueberries/quart}$. To make a blueberry pie, he needs one quart of jam. So, one pie requires 400 blueberries. To make 6 pies: $6 \text{ pies} \times 400 \text{ blueberries/pie} = 2400 \text{ blueberries}$. \boxed{2400}

Reward

Reward components
key value
reference_answer 2400
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 108
ac_len 151
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 108
ac_len 166
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 108
ac_len 133
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 108
ac_len 176
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 108
ac_len 111
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 108
ac_len 86
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 108
ac_len 186
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 108
ac_len 122
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