RL Iteration 10

Generated 2026-06-11T16:37:11

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:
There are four members in one household. Each member consumes 3 slices of bread during breakfast and 2 slices of bread for snacks. A loaf of bread has 12 slices. How many days will five loaves of bread last in this family?

Policy Response

assistant:
Each member consumes 3 slices during breakfast and 2 slices for snacks. The total slices per member per day is $3 + 2 = 5$ slices. With 4 members, the family consumes $4 \text{ members} \times 5 \text{ slices/member/day} = 20$ slices per day. Five loaves of bread have $5 \text{ loaves} \times 12 \text{ slices/loaf} = 60$ slices. The number of days is $60 \text{ slices} / 20 \text{ slices/day} = 3$ days. \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:
There are four members in one household. Each member consumes 3 slices of bread during breakfast and 2 slices of bread for snacks. A loaf of bread has 12 slices. How many days will five loaves of bread last in this family?

Policy Response

assistant:
Each member consumes $3$ slices for breakfast and $2$ slices for snacks each day. Each member consumes $3 + 2 = 5$ slices per day. With four members, the household consumes $4 \text{ members} \times 5 \text{ slices/member} = 20$ slices per day. Five loaves of bread have $5 \text{ loaves} \times 12 \text{ slices/loaf} = 60$ slices. The bread will last $60 / 20 = 3$ days. \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:
There are four members in one household. Each member consumes 3 slices of bread during breakfast and 2 slices of bread for snacks. A loaf of bread has 12 slices. How many days will five loaves of bread last in this family?

Policy Response

assistant:
Each member consumes 3 slices for breakfast and 2 slices for snacks, for a total of $3 + 2 = 5$ slices per day. There are 4 members, so the family consumes $4 \text{ members} \times 5 \text{ slices/member} = 20$ slices per day. Five loaves have $5 \text{ loaves} \times 12 \text{ slices/loaf} = 60$ slices. The bread lasts $60 \text{ slices} / 20 \text{ slices/day} = 3$ days. \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:
There are four members in one household. Each member consumes 3 slices of bread during breakfast and 2 slices of bread for snacks. A loaf of bread has 12 slices. How many days will five loaves of bread last in this family?

Policy Response

assistant:
Each member consumes 3 slices during breakfast and 2 slices for snacks, for a total of $3 + 2 = 5$ slices per day per member. With four members, the total slices per day is $4 \text{ members} \times 5 \text{ slices} = 20 \text{ slices}$. Five loaves have $5 \text{ loaves} \times 12 \text{ slices} = 60 \text{ slices}$. The number of days is $60 \text{ slices} / 20 \text{ slices per day} = 3 \text{ days}$. \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:
There are four members in one household. Each member consumes 3 slices of bread during breakfast and 2 slices of bread for snacks. A loaf of bread has 12 slices. How many days will five loaves of bread last in this family?

Policy Response

assistant:
Each member consumes 3 slices for breakfast and 2 slices for snacks. Each member consumes a total of $3 + 2 = 5$ slices per day. There are 4 members, so the family consumes $4 \text{ members} \times 5 \text{ slices/member} = 20$ slices per day. Five loaves of bread have $5 \text{ loaves} \times 12 \text{ slices/loaf} = 60$ slices. The number of days is $60 \text{ slices} / 20 \text{ slices/day} = 3$ days. \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:
There are four members in one household. Each member consumes 3 slices of bread during breakfast and 2 slices of bread for snacks. A loaf of bread has 12 slices. How many days will five loaves of bread last in this family?

Policy Response

assistant:
Each member consumes $3$ slices for breakfast and $2$ slices for snacks, totaling $3 + 2 = 5$ slices per day per member. There are four members, so the family consumes $4 \text{ members} \times 5 \text{ slices/member} = 20$ slices per day. Five loaves have $5 \text{ loaves} \times 12 \text{ slices/loaf} = 60$ slices total. The number of days is $60 \text{ slices} / 20 \text{ slices/day} = 3$ days. \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:
There are four members in one household. Each member consumes 3 slices of bread during breakfast and 2 slices of bread for snacks. A loaf of bread has 12 slices. How many days will five loaves of bread last in this family?

Policy Response

assistant:
Each member consumes 3 slices of bread during breakfast and 2 slices of bread for snacks. Each member consumes $3 + 2 = 5$ slices of bread per day. There are 4 members in the household, so the family consumes $4 \text{ members} \times 5 \text{ slices/member} = 20$ slices of bread per day. Five loaves of bread have $5 \text{ loaves} \times 12 \text{ slices/loaf} = 60$ slices in total. The number of days is $60 \text{ slices} / 20 \text{ slices/day} = 3$ days. \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:
There are four members in one household. Each member consumes 3 slices of bread during breakfast and 2 slices of bread for snacks. A loaf of bread has 12 slices. How many days will five loaves of bread last in this family?

Policy Response

assistant:
Each member consumes $3$ slices for breakfast and $2$ slices for snacks, totaling $3 + 2 = 5$ slices per day. There are 4 members, so the family consumes $4 \text{ members} \times 5 \text{ slices} = 20$ slices per day. Five loaves of bread have $5 \text{ loaves} \times 12 \text{ slices} = 60$ slices. The number of days is $\frac{60 \text{ slices}}{20 \text{ slices/day}} = 3$ days. \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 104
ac_len 137
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 104
ac_len 141
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 104
ac_len 139
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 104
ac_len 152
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 104
ac_len 136
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 104
ac_len 129
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 104
ac_len 143
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 104
ac_len 144
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:
Roger rode his bike for 2 miles this morning, and then 5 times that amount in the evening. How many miles did Roger ride his bike for?

Policy Response

assistant:
Roger rode 2 miles this morning. He rode 5 times that amount in the evening. Morning miles: 2 Evening miles: $5 \times 2 = 10$ Total miles: $2 + 10 = 12$ \boxed{12}

Reward

Reward components
key value
reference_answer 12
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:
Roger rode his bike for 2 miles this morning, and then 5 times that amount in the evening. How many miles did Roger ride his bike for?

Policy Response

assistant:
Roger rode 2 miles this morning. In the evening, he rode 5 times that amount. Miles in the evening = $5 \text{ miles} \times 5 = 25 \text{ miles}$. Total miles = $2 \text{ miles} + 25 \text{ miles} = 27 \text{ miles}$. \boxed{27}

Reward

Reward components
key value
reference_answer 12
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:
Roger rode his bike for 2 miles this morning, and then 5 times that amount in the evening. How many miles did Roger ride his bike for?

Policy Response

assistant:
Roger rode his bike for 2 miles this morning, and then 5 times that amount in the evening. Miles in the evening = $5 \times 2 = 10$ miles. Total miles = $2 + 10 = 12$ miles. \boxed{12}

Reward

Reward components
key value
reference_answer 12
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:
Roger rode his bike for 2 miles this morning, and then 5 times that amount in the evening. How many miles did Roger ride his bike for?

Policy Response

assistant:
Roger rode 2 miles this morning and 5 times that amount in the evening. Miles in the evening: $5 \times 2 = 10$ miles. Total miles: $2 + 10 = 12$ miles. \boxed{12}

Reward

Reward components
key value
reference_answer 12
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:
Roger rode his bike for 2 miles this morning, and then 5 times that amount in the evening. How many miles did Roger ride his bike for?

Policy Response

assistant:
Roger rode 2 miles in the morning. In the evening, he rode 5 times that amount, which is $5 \times 2 = 10$ miles. The total miles is $2 + 10 = 12$ miles. \boxed{12}

Reward

Reward components
key value
reference_answer 12
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:
Roger rode his bike for 2 miles this morning, and then 5 times that amount in the evening. How many miles did Roger ride his bike for?

Policy Response

assistant:
Roger rode his bike for 2 miles this morning, and then 5 times that amount in the evening. Miles in the evening = $5 \times 2$ miles = 10 miles. Total miles = 2 miles + 10 miles = 12 miles. \boxed{12}

Reward

Reward components
key value
reference_answer 12
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:
Roger rode his bike for 2 miles this morning, and then 5 times that amount in the evening. How many miles did Roger ride his bike for?

Policy Response

assistant:
Roger rode his bike for 2 miles this morning, and 5 times that amount in the evening. Miles in the evening = $5 \text{ miles} \times 2 \text{ miles} = 10 \text{ miles}$. Total miles = Miles this morning + Miles in the evening = $2 \text{ miles} + 10 \text{ miles} = 12 \text{ miles}$. \boxed{12}

Reward

Reward components
key value
reference_answer 12
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:
Roger rode his bike for 2 miles this morning, and then 5 times that amount in the evening. How many miles did Roger ride his bike for?

Policy Response

assistant:
Roger rode his bike for 2 miles this morning. In the evening, he rode 5 times that amount, which is $5 \times 2 = 10$ miles. The total miles ridden is $2 + 10 = 12$ miles. \boxed{12}

Reward

Reward components
key value
reference_answer 12
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 86
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 1 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 86
ac_len 62
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 86
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 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 4 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 86
ac_len 61
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 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 6 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 86
ac_len 101
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 69
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:
Seven parrots and some crows are perched on a tree branch. There was a noise and the same number of parrots and crows flew away. If only 2 parrots and 1 crow are left on the tree branch now, how many birds were perched on the branch to begin with?

Policy Response

assistant:
Let $p$ be the number of parrots and $c$ be the number of crows initially. Seven parrots were initially perched, so $p = 7$. The same number of parrots and crows flew away. Let $x$ be the number. Parrots left: $7 - x = 2$. $x = 7 - 2 = 5$ parrots flew away. Crows left: $c - x = 1$. $c - 5 = 1$. $c = 6$ crows flew away. Total birds initially: $p + c = 7 + 6 = 13$. \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:
Seven parrots and some crows are perched on a tree branch. There was a noise and the same number of parrots and crows flew away. If only 2 parrots and 1 crow are left on the tree branch now, how many birds were perched on the branch to begin with?

Policy Response

assistant:
There were 7 parrots perched on the branch. The same number of parrots and crows flew away. Only 2 parrots are left. Parrots flown away = $7 - 2 = 5$. The number of crows that flew away was also 5. Total crows = Started with crows + Parrots started with + Crows flown away? No, the problem asks for total birds. The birds started with were parrots + crows. We don't know how many crows were left, but we know 1 crow is left. Crows started with = Crows left + Crows flown away = $1 + 5 = 6$. Total birds = $7 \text{ parrots} + 6 \text{ crows} = 13$. \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:
Seven parrots and some crows are perched on a tree branch. There was a noise and the same number of parrots and crows flew away. If only 2 parrots and 1 crow are left on the tree branch now, how many birds were perched on the branch to begin with?

Policy Response

assistant:
Seven parrots and some crows were on the branch. The same number of parrots and crows flew away. Only 2 parrots and 1 crow are left. Let $p$ be the number of parrots and $c$ be the number of crows that flew away. Parrots left = $7 - p = 2$, so $p = 5$ parrots flew away. Crows left = $c = 1$. Birds left = $2 + 1 = 3$. Birds to begin with = Parrots left + Parrots flew away + Crows left + Crows flew away Birds to begin with = $2 + 5 + 1 + c$. Since $c$ was the same as $p$ in total crows, $c = 5$. Birds to begin with = $2 + 5 + 1 + 5 = 13$. \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:
Seven parrots and some crows are perched on a tree branch. There was a noise and the same number of parrots and crows flew away. If only 2 parrots and 1 crow are left on the tree branch now, how many birds were perched on the branch to begin with?

Policy Response

assistant:
Seven parrots and some crows were perched on a tree branch. The same number of parrots and crows flew away. 2 parrots and 1 crow are left. Let $p$ be the initial number of parrots and $c$ be the initial number of crows. $p = 7$. The number of parrots that flew away is $p_{fly}$. The number of crows that flew away is $c_{fly}$. Given $p_{fly} = c_{fly}$. The parrots left are $p - p_{fly} = 2$. So $p_{fly} = 7 - 2 = 5$. The crows left are $c - c_{fly} = 1$. So $c_{fly} = c - 1$. Since $p_{fly} = c_{fly}$, $c_{fly} = 5$. The total number of birds initially was $p + c = 7 + c$. Since $c$ must be an integer, $c = 5 + 1 = 6$. Total birds = $7 + 6 = 13$. \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:
Seven parrots and some crows are perched on a tree branch. There was a noise and the same number of parrots and crows flew away. If only 2 parrots and 1 crow are left on the tree branch now, how many birds were perched on the branch to begin with?

Policy Response

assistant:
Seven parrots flew away on the tree branch, the same number of crows. 2 parrots are left, so the total number of parrots that flew away was $7 - 2 = 5$. Since the same number of crows flew away, 5 crows flew away. The total number of birds initially was $7 + 2 = 5$ (parrots left, 2 parrots and 1 crow are left) parrots + 5 parrots = 5 parrots? No, re-read. Total parrots initially: 7. Parrots left: 2. Parrots flew away: $7 - 2 = 5$. Crows flew away the same number, so 5 crows flew away. Birds left on the branch: 2 parrots and 1 crow. Total birds initially = 7 parrots + 5 crows = 12 birds. \boxed{12}

Reward

Reward components
key value
reference_answer 13
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:
Seven parrots and some crows are perched on a tree branch. There was a noise and the same number of parrots and crows flew away. If only 2 parrots and 1 crow are left on the tree branch now, how many birds were perched on the branch to begin with?

Policy Response

assistant:
Seven parrots were perched on the tree branch. Some crows flew away, and the same number of parrots as crows did. 2 parrots and 1 crow are left. Let $P$ be the initial number of parrots and $C$ be the initial number of crows. $P = 7$. Let $x$ be the number of parrots and crows that flew away. The number of parrots left is $7 - x = 2$, so $x = 5$. The number of crows left is $C - x = 1$, so $C - 5 = 1$, which means $C = 6$. The total number of birds to begin with was $7 + 6 = 13$. \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:
Seven parrots and some crows are perched on a tree branch. There was a noise and the same number of parrots and crows flew away. If only 2 parrots and 1 crow are left on the tree branch now, how many birds were perched on the branch to begin with?

Policy Response

assistant:
Seven parrots were initially on the branch. The same number of parrots and crows flew away. Parrots left on the branch: $7 - \text{same number} = 2$, so $\text{same number} = 7 - 2 = 5$. Crows left on the branch: 1. Since the same number of crows flew away, crows initially were $1 + 5 = 6$. Total birds initially were $7 \text{ parrots} + 6 \text{ crows} = 13$. \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:
Seven parrots and some crows are perched on a tree branch. There was a noise and the same number of parrots and crows flew away. If only 2 parrots and 1 crow are left on the tree branch now, how many birds were perched on the branch to begin with?

Policy Response

assistant:
Let $P$ be the initial number of parrots and $C$ be the initial number of crows. A noise caused the same number of parrots and crows to fly away. After the noise, 2 parrots and 1 crow are left. $P$ birds were parrots, $C$ birds were crows. The same number flew away. $P_{final} = 2$, $C_{final} = 1$. $P - C_{flew\_away} = 2$ $C - C_{flew\_away} = 1$ $C_{flew\_away} = P - 2 = C - 1$. $P - C = 1$. The total number of birds initially is $P + C$. $P + C = P + (P - 1) = 2P - 1$. Since $P$ must be an integer and parrots cannot be fractional, $P$ must be at least 2. $P$ could be 2, 3, etc. The problem asks for the number of birds perched on the branch to begin with. If $P=2$, $C=1$. Total = $2+1=3$. This works. \boxed{3}

Reward

Reward components
key value
reference_answer 13
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 116
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 116
ac_len 207
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 116
ac_len 254
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 116
ac_len 277
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 116
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 5 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 116
ac_len 128
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 116
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

Trajectory 7 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 116
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

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:
Two boxes for carrying oranges with a capacity of 80 and 50 were filled with 3/4 and 3/5 of the way full with oranges, respectively. Calculate the total number of oranges the boxes have together.

Policy Response

assistant:
Box 1 capacity = 80 oranges, filled 3/4. Box 2 capacity = 50 oranges, filled 3/5. Oranges in Box 1 = $80 \times \frac{3}{4} = 60$. Oranges in Box 2 = $50 \times \frac{3}{5} = 30$. Total oranges = $60 + 30 = 90$. \boxed{90}

Reward

Reward components
key value
reference_answer 90
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:
Two boxes for carrying oranges with a capacity of 80 and 50 were filled with 3/4 and 3/5 of the way full with oranges, respectively. Calculate the total number of oranges the boxes have together.

Policy Response

assistant:
The first box has a capacity of 80 and is filled with $\frac{3}{4}$ of its way full. The number of oranges in the first box is $80 \times \frac{3}{4} = 80 \times 0.75 = 60$. The second box has a capacity of 50 and is filled with $\frac{3}{5}$ of its way full. The number of oranges in the second box is $50 \times \frac{3}{5} = 50 \times 0.6 = 30$. The total number of oranges is $60 + 30 = 90$. \boxed{90}

Reward

Reward components
key value
reference_answer 90
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:
Two boxes for carrying oranges with a capacity of 80 and 50 were filled with 3/4 and 3/5 of the way full with oranges, respectively. Calculate the total number of oranges the boxes have together.

Policy Response

assistant:
The first box has a capacity of 80 and is filled with $3/4$ of the way full. The number of oranges in the first box is $\frac{3}{4} \times 80 = 3 \times 20 = 60$. The second box has a capacity of 50 and is filled with $3/5$ of the way full. The number of oranges in the second box is $\frac{3}{5} \times 50 = 3 \times 10 = 30$. Total oranges $= 60 + 30 = 90$. \boxed{90}

Reward

Reward components
key value
reference_answer 90
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:
Two boxes for carrying oranges with a capacity of 80 and 50 were filled with 3/4 and 3/5 of the way full with oranges, respectively. Calculate the total number of oranges the boxes have together.

Policy Response

assistant:
The first box has a capacity of 80 and is 3/4 full. The number of oranges in the first box is $ \frac{3}{4} \times 80 = 60 $. The second box has a capacity of 50 and is 3/5 full. The number of oranges in the second box is $ \frac{3}{5} \times 50 = 30 $. The total number of oranges is $ 60 + 30 = 90 $. \boxed{90}

Reward

Reward components
key value
reference_answer 90
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:
Two boxes for carrying oranges with a capacity of 80 and 50 were filled with 3/4 and 3/5 of the way full with oranges, respectively. Calculate the total number of oranges the boxes have together.

Policy Response

assistant:
The capacity of the first box is 80. It is filled with $ \frac{3}{4} $ of the way full. The number of oranges in the first box is $ 80 \times \frac{3}{4} = 80 \times 0.75 = 60 $. The capacity of the second box is 50. It is filled with $ \frac{3}{5} $ of the way full. The number of oranges in the second box is $ 50 \times \frac{3}{5} = 50 \times 0.6 = 30 $. The total number of oranges is $ 60 + 30 = 90 $. \boxed{90}

Reward

Reward components
key value
reference_answer 90
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:
Two boxes for carrying oranges with a capacity of 80 and 50 were filled with 3/4 and 3/5 of the way full with oranges, respectively. Calculate the total number of oranges the boxes have together.

Policy Response

assistant:
The capacity of the first box is 80, and it is filled 3/4 of the way. The capacity of the second box is 50, and it is filled 3/5 of the way. Oranges in the first box: $ \frac{3}{4} \times 80 = 60 $. Oranges in the second box: $ \frac{3}{5} \times 50 = 30 $. Total oranges: $ 60 + 30 = 90 $. \boxed{90}

Reward

Reward components
key value
reference_answer 90
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:
Two boxes for carrying oranges with a capacity of 80 and 50 were filled with 3/4 and 3/5 of the way full with oranges, respectively. Calculate the total number of oranges the boxes have together.

Policy Response

assistant:
The first box has a capacity of 80 and is 3/4 full. The number of oranges in the first box is $80 \times \frac{3}{4} = 60$. The second box has a capacity of 50 and is 3/5 full. The number of oranges in the second box is $50 \times \frac{3}{5} = 30$. The total number of oranges is $60 + 30 = 90$. \boxed{90}

Reward

Reward components
key value
reference_answer 90
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:
Two boxes for carrying oranges with a capacity of 80 and 50 were filled with 3/4 and 3/5 of the way full with oranges, respectively. Calculate the total number of oranges the boxes have together.

Policy Response

assistant:
The first box has a capacity of 80 oranges and is filled with $\frac{3}{4}$ of the way full. The number of oranges in the first box is $80 \times \frac{3}{4} = 60$. The second box has a capacity of 50 oranges and is filled with $\frac{3}{5}$ of the way full. The number of oranges in the second box is $50 \times \frac{3}{5} = 30$. The total number of oranges the boxes have together is $60 + 30 = 90$. \boxed{90}

Reward

Reward components
key value
reference_answer 90
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 101
ac_len 116
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 101
ac_len 153
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 101
ac_len 138
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 101
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 4 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 101
ac_len 123
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 101
ac_len 119
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 101
ac_len 142
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 101
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