RL Iteration 12

Generated 2026-06-11T16:37:33

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:
Ziggy is a club DJ. Typically, Ziggy gets 30 song requests every night. Half the songs requested are electropop. A third of that amount are requests for dance music. Five song requests are rock music, and song requests for oldies are three less in number than rock requests. Ziggy plays a DJ’s choice song half the number of times he plays an oldie. Ziggy also sometimes gets rap song requests. Typically, how many rap songs does Ziggy get requested every night?

Policy Response

assistant:
Ziggy gets 30 song requests every night. 1. Electropop requests: Half of 30 is $30 / 2 = 15$. 2. Dance music requests: A third of 15 is $15 / 3 = 5$. 3. Rock music requests: 5. 4. Oldies requests: 3 less than rock is $5 - 3 = 2$. DJ’s Choice requests: Half of oldies is $2 / 2 = 1$. Total known requests: Electropop + Dance + Rock + Oldies + DJ’s Choice = $15 + 5 + 5 + 2 + 1 = 28$. Rap requests: $30 - 28 = 2$. \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:
Ziggy is a club DJ. Typically, Ziggy gets 30 song requests every night. Half the songs requested are electropop. A third of that amount are requests for dance music. Five song requests are rock music, and song requests for oldies are three less in number than rock requests. Ziggy plays a DJ’s choice song half the number of times he plays an oldie. Ziggy also sometimes gets rap song requests. Typically, how many rap songs does Ziggy get requested every night?

Policy Response

assistant:
Ziggy gets 30 song requests every night. 1. Electropop requests: Half of 30 is $30 / 2 = 15$. 2. Dance music requests: A third of 15 is $15 / 3 = 5$. 3. Rock music requests: 5. 4. Oldies requests: 3 less than rock is $5 - 3 = 2$. 5. DJ's choice requests: Half of oldies is $2 / 2 = 1$. Total requests for electropop, dance music, rock, oldies, and DJ's choice: $15 + 5 + 5 + 2 + 1 = 28$. Rap song requests: $30 - 28 = 2$. \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:
Ziggy is a club DJ. Typically, Ziggy gets 30 song requests every night. Half the songs requested are electropop. A third of that amount are requests for dance music. Five song requests are rock music, and song requests for oldies are three less in number than rock requests. Ziggy plays a DJ’s choice song half the number of times he plays an oldie. Ziggy also sometimes gets rap song requests. Typically, how many rap songs does Ziggy get requested every night?

Policy Response

assistant:
Ziggy gets 30 song requests every night. 1. Electropop requests: Half of 30 is $30/2 = 15$. 2. Dance music requests: A third of 15 is $15/3 = 5$. 3. Rock requests: 5. 4. Oldies requests: Three less than rock requests is $5 - 3 = 2$. 5. DJ’s Choice requests: Half of oldies requests is $2/2 = 1$. Total requests accounted for: Electropop + Dance + Rock + Oldies + DJ's Choice = $15 + 5 + 5 + 2 + 1 = 28$. Rap requests: $30 - 28 = 2$. \boxed{2} Typically, Ziggy gets 2 rap songs requested every night. \boxed{2} \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:
Ziggy is a club DJ. Typically, Ziggy gets 30 song requests every night. Half the songs requested are electropop. A third of that amount are requests for dance music. Five song requests are rock music, and song requests for oldies are three less in number than rock requests. Ziggy plays a DJ’s choice song half the number of times he plays an oldie. Ziggy also sometimes gets rap song requests. Typically, how many rap songs does Ziggy get requested every night?

Policy Response

assistant:
Ziggy gets 30 song requests every night. 1. Electropop songs: Half of 30 = 15. 2. Dance music songs: A third of electropop = 1/3 * 15 = 5. Total electropop + dance music = 15 + 5 = 20 songs. 3. Oldies songs: Three less than rock requests. Rock requests are 5. Oldies = 5 - 3 = 2. 4. DJ's choice songs: Half of oldies = 1/2 * 2 = 1. Total electropop, dance music, oldies, and DJ's choice songs = 20 + 2 + 1 = 23. 5. Rap songs: 30 - 23 = 7. Ziggy gets 7 rap song requests every night. \boxed{7}

Reward

Reward components
key value
reference_answer 2
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:
Ziggy is a club DJ. Typically, Ziggy gets 30 song requests every night. Half the songs requested are electropop. A third of that amount are requests for dance music. Five song requests are rock music, and song requests for oldies are three less in number than rock requests. Ziggy plays a DJ’s choice song half the number of times he plays an oldie. Ziggy also sometimes gets rap song requests. Typically, how many rap songs does Ziggy get requested every night?

Policy Response

assistant:
Ziggy gets 30 song requests every night. 1. Half the songs are electropop: $30 / 2 = 15$ electropop. 2. A third of that are dance music: $15 / 3 = 5$ dance music. 3. Rock music requests are 5. 4. Oldies requests are 3 less than rock: $5 - 3 = 2$ oldies. Total known requests: Electropop + Dance + Rock + Oldies = $15 + 5 + 5 + 2 = 27$. Ziggy plays DJ's choice song half the number of times he plays an oldie, but this doesn't add to requests. Rap requests are the remainder: $30 - 27 = 3$. \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3}

Reward

Reward components
key value
reference_answer 2
format_valid False
correct False
format_coef 0.1
reward -0.100

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:
Ziggy is a club DJ. Typically, Ziggy gets 30 song requests every night. Half the songs requested are electropop. A third of that amount are requests for dance music. Five song requests are rock music, and song requests for oldies are three less in number than rock requests. Ziggy plays a DJ’s choice song half the number of times he plays an oldie. Ziggy also sometimes gets rap song requests. Typically, how many rap songs does Ziggy get requested every night?

Policy Response

assistant:
Ziggy gets 30 song requests every night. 1. Electropop songs: Half of 30 = 15. 2. Dance music songs: A third of electropop = 1/3 * 15 = 5. 3. Rock music songs: 5. 4. Oldies songs: Rock - 3 = 5 - 3 = 2. 5. DJ's choice songs: Half of oldies = 1/2 * 2 = 1. Total played songs (electropop + dance + rock + oldies + DJ's choice): 15 + 5 + 5 + 2 + 1 = 28. Ratios: - Electropop: 15/28 - Dance: 5/28 - Rock: 5/28 - Oldies: 2/28 - DJ's Choice: 1/28 Rap songs are the remainder: 30 - 28 = 2. \boxed{2} \boxed{2} Ziggy gets 2 rap song requests every night. \boxed{2} \boxed{2} \boxed{2} \boxed{2} \boxed{2} \boxed{2} \boxed{2} \boxed{2} \boxed{2} \boxed{2} \boxed{2} \boxed{

Reward

Reward components
key value
reference_answer 2
format_valid False
correct True
format_coef 0.1
reward 0.900

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:
Ziggy is a club DJ. Typically, Ziggy gets 30 song requests every night. Half the songs requested are electropop. A third of that amount are requests for dance music. Five song requests are rock music, and song requests for oldies are three less in number than rock requests. Ziggy plays a DJ’s choice song half the number of times he plays an oldie. Ziggy also sometimes gets rap song requests. Typically, how many rap songs does Ziggy get requested every night?

Policy Response

assistant:
<think> Ziggy gets 30 song requests every night. 1. Electropop requests: Half the songs requested are electropop. $30 / 2 = 15$. 2. Dance music requests: A third of electropop. $15 / 3 = 5$. 3. Rock music requests: 5. 4. Oldies requests: Three less than rock. $5 - 3 = 2$. 5. DJ's choice requests: Half the oldies. $2 / 2 = 1$. Total specific music requests other than rock and oldies: Electropop + Dance + Rock + DJ's choice = $15 + 5 + 5 + 1 = 26$. Requests for rap = Total - Specific = $30 - 26 = 4$. \boxed{4} Ziggy typically gets 4 rap song requests every night. \boxed{4} </think> Ziggy gets 30 song requests every night. 1. Electropop requests: $30 / 2 = 15$. 2. Dance music requests: $15 / 3 = 5$. 3. Rock music requests: 5. 4. Oldies requests: $5 - 3 = 2$. 5. DJ's choice requests: $2 / 2 = 1$. Sum of electropop, dance, rock, and oldies/DJ's choice requests: $1

Reward

Reward components
key value
reference_answer 2
format_valid False
correct False
format_coef 0.1
reward -0.100

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:
Ziggy is a club DJ. Typically, Ziggy gets 30 song requests every night. Half the songs requested are electropop. A third of that amount are requests for dance music. Five song requests are rock music, and song requests for oldies are three less in number than rock requests. Ziggy plays a DJ’s choice song half the number of times he plays an oldie. Ziggy also sometimes gets rap song requests. Typically, how many rap songs does Ziggy get requested every night?

Policy Response

assistant:
Ziggy gets 30 song requests every night. 1. Electropop songs: Half of 30 = 15. 2. Dance music songs: A third of 15 = 5. 3. Rock music songs: 5. 4. Oldies songs: 3 less than rock = 5 - 3 = 2. 5. DJ’s choice songs: Half of oldies = 2 / 2 = 1. Total songs for Electropop, Dance, Rock, Oldies, and DJ's choice = 15 + 5 + 5 + 2 + 1 = 28. Rap song requests = 30 - 28 = 2. \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 158
ac_len 201
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 158
ac_len 320
step_reward -0.100
Step Metrics
Metrics emitted by env.step
key value
format 0.000
correct 0.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards -0.100
final_group_reward 0.000
total_return -0.100

Trajectory 2 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 158
ac_len 179
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 158
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 4 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 158
ac_len 202
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 158
ac_len 320
step_reward 0.900
Step Metrics
Metrics emitted by env.step
key value
format 0.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 0.900
final_group_reward 0.000
total_return 0.900

Trajectory 6 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 158
ac_len 164
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 158
ac_len 320
step_reward -0.100
Step Metrics
Metrics emitted by env.step
key value
format 0.000
correct 0.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards -0.100
final_group_reward 0.000
total_return -0.100

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:
Malou got 91, 90, and 92 in her three quizzes. What is her average score?

Policy Response

assistant:
Malou's scores are 91, 90, and 92. The average score is the sum of the scores divided by the number of quizzes: 1. Sum: $91 + 90 + 92 = 273$ 2. Average: $273 / 3 = 91$ \boxed{91}

Reward

Reward components
key value
reference_answer 91
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:
Malou got 91, 90, and 92 in her three quizzes. What is her average score?

Policy Response

assistant:
Malou's average score is the sum of the quizzes divided by the number of quizzes. Sum = 91 + 90 + 92 = 273 Average = 273 / 3 = 91 \boxed{91} \boxed{91}

Reward

Reward components
key value
reference_answer 91
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:
Malou got 91, 90, and 92 in her three quizzes. What is her average score?

Policy Response

assistant:
Malou got 91, 90, and 92 in her three quizzes. Her average score is the sum of the scores divided by the number of quizzes. Sum = 91 + 90 + 92 = 273 Average = 273 / 3 = 91 \boxed{91}

Reward

Reward components
key value
reference_answer 91
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:
Malou got 91, 90, and 92 in her three quizzes. What is her average score?

Policy Response

assistant:
Malou got 91, 90, and 92 in her three quizzes. Average Score = (91 + 90 + 92) / 3 Sum = 273 Average = 273 / 3 = 91 \boxed{91}

Reward

Reward components
key value
reference_answer 91
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:
Malou got 91, 90, and 92 in her three quizzes. What is her average score?

Policy Response

assistant:
Malou got scores of 91, 90, and 92. 1. Sum of scores: $91 + 90 + 92 = 273$ 2. Average score: $273 / 3 = 91$ \boxed{91}

Reward

Reward components
key value
reference_answer 91
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:
Malou got 91, 90, and 92 in her three quizzes. What is her average score?

Policy Response

assistant:
Malou's scores are 91, 90, and 92. Average = (91 + 90 + 92) / 3 = 273 / 3 = 91 \boxed{91}

Reward

Reward components
key value
reference_answer 91
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:
Malou got 91, 90, and 92 in her three quizzes. What is her average score?

Policy Response

assistant:
Malou's scores are 91, 90, and 92. Average = (91 + 90 + 92) / 3 = 273 / 3 = 91 \boxed{91}

Reward

Reward components
key value
reference_answer 91
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:
Malou got 91, 90, and 92 in her three quizzes. What is her average score?

Policy Response

assistant:
Malou's scores are 91, 90, and 92. 1. Find the sum of the scores: $91 + 90 + 92 = 273$. 2. Find the average by dividing the sum by the number of quizzes (3): $273 / 3 = 91$. \boxed{91}

Reward

Reward components
key value
reference_answer 91
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 79
ac_len 65
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 79
ac_len 68
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 79
ac_len 68
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 79
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

Trajectory 4 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 79
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 5 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 79
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

Trajectory 6 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 79
ac_len 82
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 79
ac_len 83
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:
Jordan decides to start an exercise program when he weighs 250 pounds. For the first 4 weeks, he loses 3 pounds a week. After that, he loses 2 pounds a week for 8 weeks. How much does Jordan now weigh?

Policy Response

assistant:
For the first 4 weeks, he loses $3 \text{ pounds/week} \times 4 \text{ weeks} = 12 \text{ pounds}$. After that, he loses $2 \text{ pounds/week} \times 8 \text{ weeks} = 16 \text{ pounds}$. Total weight lost = $12 + 16 = 28 \text{ pounds}$. Final weight = $250 - 28 = 222 \text{ pounds}$. \boxed{222}

Reward

Reward components
key value
reference_answer 222
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:
Jordan decides to start an exercise program when he weighs 250 pounds. For the first 4 weeks, he loses 3 pounds a week. After that, he loses 2 pounds a week for 8 weeks. How much does Jordan now weigh?

Policy Response

assistant:
💭 Thinking
Jordan weighs 250 pounds initially.

1. Weight lost in the first 4 weeks: $3 \text{ pounds/week} \times 4 \text{ weeks} = 12 \text{ pounds}$.
2. Weight lost in the next 8 weeks: $2 \text{ pounds/week} \times 8 \text{ weeks} = 16 \text{ pounds}$.
3. Total weight lost: $12 + 16 = 28 \text{ pounds}$.
4. Current weight: $250 - 28 = 222 \text{ pounds}$.

\boxed{222}
Jordan lost a total of $3 \text{ pounds/week} \times 4 \text{ weeks} + 2 \text{ pounds/week} \times 8 \text{ weeks} = 12 + 16 = 28 \text{ pounds}$. His current weight is $250 - 28 = 222 \text{ pounds}$. \boxed{222}

Reward

Reward components
key value
reference_answer 222
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:
Jordan decides to start an exercise program when he weighs 250 pounds. For the first 4 weeks, he loses 3 pounds a week. After that, he loses 2 pounds a week for 8 weeks. How much does Jordan now weigh?

Policy Response

assistant:
💭 Thinking
Jordan loses weight for a total of 4 weeks in the first period and 8 weeks in the second period.

1. Weight loss in the first 4 weeks: $3 \text{ pounds/week} \times 4 \text{ weeks} = 12 \text{ pounds}$.
2. Weight loss in the next 8 weeks: $2 \text{ pounds/week} \times 8 \text{ weeks} = 16 \text{ pounds}$.
3. Total weight loss: $12 + 16 = 28 \text{ pounds}$.

Jordan's initial weight was 250 pounds. His weight now is $250 - 28 = 222$ pounds.

\boxed{222}
Jordan weighs 222 pounds. \boxed{222}

Reward

Reward components
key value
reference_answer 222
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:
Jordan decides to start an exercise program when he weighs 250 pounds. For the first 4 weeks, he loses 3 pounds a week. After that, he loses 2 pounds a week for 8 weeks. How much does Jordan now weigh?

Policy Response

assistant:
💭 Thinking
Jordan loses 3 pounds a week for 4 weeks.
Loss in first 4 weeks = 3 pounds/week * 4 weeks = 12 pounds.

He loses 2 pounds a week for 8 weeks.
Loss in next 8 weeks = 2 pounds/week * 8 weeks = 16 pounds.

Total weight lost = 12 + 16 = 28 pounds.

Starting weight = 250 pounds.

Final weight = 250 - 28 = 222 pounds.

\boxed{222}
Jordan loses a total of $3 \text{ pounds/week} \times 4 \text{ weeks} + 2 \text{ pounds/week} \times 8 \text{ weeks} = 12 + 16 = 28 \text{ pounds}$. Starting at 250 pounds, Jordan now weighs $250 - 28 = 222$ pounds. \boxed{222}

Reward

Reward components
key value
reference_answer 222
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:
Jordan decides to start an exercise program when he weighs 250 pounds. For the first 4 weeks, he loses 3 pounds a week. After that, he loses 2 pounds a week for 8 weeks. How much does Jordan now weigh?

Policy Response

assistant:
💭 Thinking
For the first 4 weeks, he loses 3 pounds a week. Total weight loss in first 4 weeks = $4 \text{ weeks} \times 3 \text{ pounds/week} = 12 \text{ pounds}$.

After that, he loses 2 pounds a week for 8 weeks. Total weight loss in next 8 weeks = $8 \text{ weeks} \times 2 \text{ pounds/week} = 16 \text{ pounds}$.

Total weight loss = $12 \text{ pounds} + 16 \text{ pounds} = 28 \text{ pounds}$.

Initial weight = 250 pounds. Final weight = $250 - 28 = 222 \text{ pounds}$.

\boxed{222}
Jordan loses a total of $4 \text{ weeks} \times 3 \text{ pounds/week} + 8 \text{ weeks} \times 2 \text{ pounds/week} = 12 + 16 = 28 \text{ pounds}$. Starting from 250 pounds, he weighs $250 - 28 = 222$ pounds. \boxed{222}

Reward

Reward components
key value
reference_answer 222
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:
Jordan decides to start an exercise program when he weighs 250 pounds. For the first 4 weeks, he loses 3 pounds a week. After that, he loses 2 pounds a week for 8 weeks. How much does Jordan now weigh?

Policy Response

assistant:
💭 Thinking
Jordan loses 3 pounds a week for the first 4 weeks.

Weight lost in first 4 weeks = $3 \text{ pounds/week} \times 4 \text{ weeks} = 12 \text{ pounds}$.

He loses 2 pounds a week for 8 weeks.

Weight lost in next 8 weeks = $2 \text{ pounds/week} \times 8 \text{ weeks} = 16 \text{ pounds}$.

Total weight lost = $12 + 16 = 28 \text{ pounds}$.

Jordan's original weight was 250 pounds.

Current weight = $250 - 28 = 222 \text{ pounds}$.

\boxed{222}
Jordan loses a total of $3 \text{ pounds/week} \times 4 \text{ weeks} + 2 \text{ pounds/week} \times 8 \text{ weeks} = 12 + 16 = 28 \text{ pounds}$. Starting weight - Weight lost = $250 - 28 = 222 \text{ pounds}$. \boxed{222}

Reward

Reward components
key value
reference_answer 222
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:
Jordan decides to start an exercise program when he weighs 250 pounds. For the first 4 weeks, he loses 3 pounds a week. After that, he loses 2 pounds a week for 8 weeks. How much does Jordan now weigh?

Policy Response

assistant:
💭 Thinking
Jordan loses 3 pounds a week for the first 4 weeks.

Weight lost in first 4 weeks = $3 \text{ pounds/week} \times 4 \text{ weeks} = 12 \text{ pounds}$.

He loses 2 pounds a week for the next 8 weeks.

Weight lost in next 8 weeks = $2 \text{ pounds/week} \times 8 \text{ weeks} = 16 \text{ pounds}$.

Total weight lost = $12 \text{ pounds} + 16 \text{ pounds} = 28 \text{ pounds}$.

Jordan's starting weight was 250 pounds.

Current weight = $250 \text{ pounds} - 28 \text{ pounds} = 222 \text{ pounds}$.

\boxed{222}
Jordan loses 3 pounds a week for the first 4 weeks, which totals $3 \times 4 = 12$ pounds. He loses 2 pounds a week for the next 8 weeks, which totals $2 \times 8 = 16$ pounds. The total weight lost is $12 + 16 = 28$ pounds. Starting weight was 250 pounds. $250 - 28 = 222$ pounds. \boxed{222}

Reward

Reward components
key value
reference_answer 222
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:
Jordan decides to start an exercise program when he weighs 250 pounds. For the first 4 weeks, he loses 3 pounds a week. After that, he loses 2 pounds a week for 8 weeks. How much does Jordan now weigh?

Policy Response

assistant:
Jordan loses 3 pounds a week for the first 4 weeks. Total pounds lost in first 4 weeks = $3 \text{ pounds/week} \times 4 \text{ weeks} = 12 \text{ pounds}$. He loses 2 pounds a week for the next 8 weeks. Total pounds lost in next 8 weeks = $2 \text{ pounds/week} \times 8 \text{ weeks} = 16 \text{ pounds}$. Total pounds lost = $12 + 16 = 28 \text{ pounds}$. Jordan's starting weight was 250 pounds. Current weight = $250 - 28 = 222 \text{ pounds}$. \boxed{222} \boxed{222} \boxed{222} \boxed{222} \boxed{222} \boxed{222} \boxed{222} \boxed{222} \boxed{222} \boxed{222} \boxed{222} \boxed{222} \boxed{222} \boxed{222} \boxed{222} \boxed{222} \boxed{222} \boxed{222} \boxed{222} \boxed{22

Reward

Reward components
key value
reference_answer 222
format_valid False
correct True
format_coef 0.1
reward 0.900

Trajectory Details

Trajectory 0 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 109
ac_len 264
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 109
ac_len 242
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 109
ac_len 320
step_reward 0.900
Step Metrics
Metrics emitted by env.step
key value
format 0.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 0.900
final_group_reward 0.000
total_return 0.900

Trajectory 3 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 109
ac_len 304
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 109
ac_len 187
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 109
ac_len 226
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 109
ac_len 275
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 109
ac_len 125
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:
Malcolm brushes his teeth for 2 minutes after breakfast, lunch and dinner. After 30 days, how many hours does he spend brushing his teeth?

Policy Response

assistant:
💭 Thinking
Malcolm brushes his teeth for 2 minutes after each of the 3 meals a day.

Minutes per day = 2 minutes * 3 meals = 6 minutes.

Minutes per 30 days = 6 minutes * 30 days = 180 minutes.

Hours = 180 minutes / 60 minutes per hour = 3 hours.

\boxed{3}
\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:
Malcolm brushes his teeth for 2 minutes after breakfast, lunch and dinner. After 30 days, how many hours does he spend brushing his teeth?

Policy Response

assistant:
💭 Thinking
Malcolm brushes his teeth for 2 minutes each day.

Total minutes per 30 days = 2 minutes/day * 30 days = 60 minutes.

Minutes to hours = 60 minutes / 60 minutes/hour = 1 hour.

\boxed{1}
Malcolm brushes his teeth for 2 minutes each day. Total minutes per 30 days = 2 minutes/day * 30 days = 60 minutes. Minutes to hours = 60 minutes / 60 minutes/hour = 1 hour. \boxed{1}

Reward

Reward components
key value
reference_answer 3
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:
Malcolm brushes his teeth for 2 minutes after breakfast, lunch and dinner. After 30 days, how many hours does he spend brushing his teeth?

Policy Response

assistant:
💭 Thinking
Malcolm brushes his teeth 3 times a day (breakfast, lunch, dinner).

1. Total minutes per day: $2 \text{ minutes} \times 3 = 6 \text{ minutes}$.
2. Total minutes per 30 days: $6 \text{ minutes} \times 30 \text{ days} = 180 \text{ minutes}$.
3. Convert minutes to hours: $180 / 60 = 3 \text{ hours}$.

\boxed{3}
\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:
Malcolm brushes his teeth for 2 minutes after breakfast, lunch and dinner. After 30 days, how many hours does he spend brushing his teeth?

Policy Response

assistant:
💭 Thinking
Malcolm brushes his teeth for 2 minutes each day after each of the 3 meals, so he brushes daily $2 \text{ minutes} \times 3 \text{ meals} = 6$ minutes per day.

Over 30 days, he brushes $6 \text{ minutes/ day} \times 30 \text{ days} = 180$ minutes.

To convert to hours, divide by 60: $180 / 60 = 3$ hours.

\boxed{3}
Malcolm brushes his teeth $2 \text{ minutes} \times 3 \text{ meals} = 6 \text{ minutes}$ each day. Over 30 days, he brushes $6 \text{ minutes} \times 30 \text{ days} = 180 \text{ minutes}$. $180 \text{ minutes} / 60 \text{ minutes/hour} = 3 \text{ hours}$. \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:
Malcolm brushes his teeth for 2 minutes after breakfast, lunch and dinner. After 30 days, how many hours does he spend brushing his teeth?

Policy Response

assistant:
💭 Thinking
Malcolm brushes his teeth for 2 minutes after each of 3 meals per day.

1. Minutes per day: $2 \text{ minutes/meal} \times 3 \text{ meals/day} = 6 \text{ minutes/day}$.

2. Minutes per 30 days: $6 \text{ minutes/day} \times 30 \text{ days} = 180 \text{ minutes}$.

3. Hours: $180 \text{ minutes} \div 60 \text{ minutes/hour} = 3 \text{ hours}$.

\boxed{3}
Malcolm brushes his teeth for 2 minutes after breakfast, lunch, and dinner each day. There are 3 meals a day. Minutes per day = $2 \text{ minutes} \times 3 \text{ meals} = 6 \text{ minutes}$. Minutes per 30 days = $6 \text{ minutes} \times 30 \text{ days} = 180 \text{ minutes}$. Hours per 30 days = $180 \text{ minutes} / 60 \text{ minutes per hour} = 3 \text{ hours}$. \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:
Malcolm brushes his teeth for 2 minutes after breakfast, lunch and dinner. After 30 days, how many hours does he spend brushing his teeth?

Policy Response

assistant:
Malcolm brushes his teeth 3 times a day (after breakfast, lunch, and dinner) for 2 minutes each time. 1. Minutes per day: $3 \text{ times} \times 2 \text{ minutes} = 6 \text{ minutes}$. 2. Minutes in 30 days: $6 \text{ minutes/ day} \times 30 \text{ days} = 180 \text{ minutes}$. 3. Hours in 30 days: $180 \text{ minutes} / 60 \text{ minutes/hour} = 3 \text{ hours}$. \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed

Reward

Reward components
key value
reference_answer 3
format_valid False
correct True
format_coef 0.1
reward 0.900

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:
Malcolm brushes his teeth for 2 minutes after breakfast, lunch and dinner. After 30 days, how many hours does he spend brushing his teeth?

Policy Response

assistant:
💭 Thinking
Malcolm brushes his teeth for 2 minutes each day (breakfast, lunch, and dinner counts as each session, 2 minutes * 3 = 6 minutes per day).

Minutes per day = $2 \text{ minutes} \times 3 = 6 \text{ minutes}$.

Minutes over 30 days = $6 \text{ minutes/day} \times 30 \text{ days} = 180 \text{ minutes}$.

Hours = $180 \text{ minutes} / 60 \text{ minutes/ hour} = 3 \text{ hours}$.

\boxed{3}
Malcolm brushes his teeth for 2 minutes after breakfast, lunch and dinner each day, which is $2 \text{ minutes} \times 3 \text{ meals} = 6 \text{ minutes per day}$. Over 30 days, the total minutes is $6 \text{ minutes/day} \times 30 \text{ days} = 180 \text{ minutes}$. Converting to hours: $180 \text{ minutes} / 60 \text{ minutes per hour} = 3 \text{ hours}$. \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:
Malcolm brushes his teeth for 2 minutes after breakfast, lunch and dinner. After 30 days, how many hours does he spend brushing his teeth?

Policy Response

assistant:
Malcolm brushes his teeth for 2 minutes after each of the 3 meals (breakfast, lunch, and dinner). 1. Minutes per day: $2 \text{ minutes/meal} \times 3 \text{ meals/day} = 6 \text{ minutes/day}$. 2. Total minutes over 30 days: $6 \text{ minutes/day} \times 30 \text{ days} = 180 \text{ minutes}$. 3. Convert minutes to hours: $180 / 60 = 3 \text{ hours}$. \boxed{3} \boxed{3} hours. \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3} \boxed{3}

Reward

Reward components
key value
reference_answer 3
format_valid False
correct True
format_coef 0.1
reward 0.900

Trajectory Details

Trajectory 0 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 86
ac_len 320
step_reward 0.900
Step Metrics
Metrics emitted by env.step
key value
format 0.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 0.900
final_group_reward 0.000
total_return 0.900

Trajectory 1 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 86
ac_len 125
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 86
ac_len 132
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 86
ac_len 269
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 86
ac_len 274
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 86
ac_len 320
step_reward 0.900
Step Metrics
Metrics emitted by env.step
key value
format 0.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 0.900
final_group_reward 0.000
total_return 0.900

Trajectory 6 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 86
ac_len 94
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 86
ac_len 224
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