RL Iteration 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:

Ms. Hatcher teaches 20 third-graders and a number of fourth-graders that is twice the number of third-graders. Her co-teacher asked her to substitute for her fifth-grade class that has half as many students as the number of third-graders. How many students did Ms. Hatcher teach for the day?

Policy Response

assistant:

1. *Third-graders* = 20 *students*. *Fourth-graders* = 2 * * *third-graders* = 20 *students*. *Fifth-graders* = 1/2 * * *third-graders* = 10 *students*. *Total students* = 20 + 20 + 10 = 150 *students*. \boxed{150}

Reward

Reward components

key	value
reference_answer	70
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:

Policy Response

assistant:

* Third-graders = 20 *third-graders* * Fourth-graders = 20 *third-graders* * * * = 2 *fourth-graders* * Fifth-grade class = 20 *third-graders* * * * = 10 *fifth-graders* * Total students = 20 + 20 + 10 = 20 *third-graders* + 2 *fourth-graders* + 10 *fifth-graders* = 50 *students* \boxed{50}

Reward

Reward components

key	value
reference_answer	70
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:

Policy Response

assistant:

* Third graders = 20 * third-graders * * Fourth graders = 20 * third-graders * *twice* = 2 * fourth-graders * * Fifth graders = 20 * third-graders * *half* = 10 * fifth-graders * * Total * = 20 + 20 + 10 = 150 students \boxed{150}

Reward

Reward components

key	value
reference_answer	70
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:

Policy Response

assistant:

* *Third-graders* = 20 *third-graders* * * *Fourth-graders* = 2 *third-graders* * * = 2 * * * *Fifth-grade class* = 1/2 *third-graders* = 10 *students* *Total* = 20 + 20 + 10 = 1 * * * \boxed{150}

Reward

Reward components

key	value
reference_answer	70
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:

Policy Response

assistant:

* *Third-graders* = 20 *third-graders* * *Fourth-graders* = 20 *third-graders* * *twice* = 20 *fourth-graders* * *Fifth-grade class* = 20 *third-graders* * *half* = 10 *fifth-graders* * *Total students* = 20 + 20 + 10 = 150 *students* \boxed{150}

Reward

Reward components

key	value
reference_answer	70
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:

Policy Response

assistant:

* Third-graders = 20 *third* *graders* * Fourth-graders = 20 * *third* *graders* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * = 20 * *fourth* *graders* * Fifth-graders = 20 * *third* *graders* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * = 20 * *fifth* *graders* * Total students = 20 + 20 * *fourth* *graders* + 10 * *fifth* *graders* = 20 + 20 + 10 = \boxed{150}

Reward

Reward components

key	value
reference_answer	70
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:

Policy Response

assistant:

<think> * Third-graders = 20 *third* *graders* * Fourth-graders = 20 *third* *graders* * * * = 2 *fourth* *graders* * Fifth-grade class = 20 *third* *graders* * * * = 10 *fifth* *graders* * Total students = 20 + 20 *fourth* *graders* + 10 *fifth* *graders* = 2 *four* *th* *tons*... \boxed{20 *r* *e* *. * *Step-by-Step:* 1. *Third-graders* = 20 students. 1. *Fourth-graders* = 2 * * *third* * *graders* * * = 20 *fourth* *graders*. 1. *Fifth-grade class* = 20 * *third * *graders* * * * = 20 * * * * *fifth * *graders* = 10 *fifth* *graders*. * *Total* = 20 + 20 + 10 = 20 * * * * *students* \boxed{70} </think> *Tom* *Question* * *Ms. Hatcher* * *Teaches* * *Third-graders* = 20 * * * * *

Reward

Reward components

key	value
reference_answer	70
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:

Policy Response

assistant:

* Third-graders = 20 *third-graders* * * Fourth-graders = 20 *third-graders* * * * * = 2 *fourth-graders* * Fifth-graders = 20 *third-graders* * * * = 10 *fifth-graders* * Total students = 20 + 20 + 10 = 120 *students* \boxed{120}

Reward

Reward components

key	value
reference_answer	70
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	121
ac_len	125
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	121
ac_len	101
step_reward	0.000

Step Metrics

Metrics emitted by env.step

key	value
format	1.000
correct	0.000

Episode totals

key	value
num_turns	1
final_ob_len	0
sum_step_rewards	0.000
final_group_reward	0.000
total_return	0.000

Trajectory 2 Episode

Episode Details

Turn 1

Step stats

key	value
ob_len	121
ac_len	97
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	121
ac_len	94
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	121
ac_len	216
step_reward	0.000

Step Metrics

Metrics emitted by env.step

key	value
format	1.000
correct	0.000

Episode totals

key	value
num_turns	1
final_ob_len	0
sum_step_rewards	0.000
final_group_reward	0.000
total_return	0.000

Trajectory 5 Episode

Episode Details

Turn 1

Step stats

key	value
ob_len	121
ac_len	112
step_reward	0.000

Step Metrics

Metrics emitted by env.step

key	value
format	1.000
correct	0.000

Episode totals

key	value
num_turns	1
final_ob_len	0
sum_step_rewards	0.000
final_group_reward	0.000
total_return	0.000

Trajectory 6 Episode

Episode Details

Turn 1

Step stats

key	value
ob_len	121
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 7 Episode

Episode Details

Turn 1

Step stats

key	value
ob_len	121
ac_len	96
step_reward	0.000

Step Metrics

Metrics emitted by env.step

key	value
format	1.000
correct	0.000

Episode totals

key	value
num_turns	1
final_ob_len	0
sum_step_rewards	0.000
final_group_reward	0.000
total_return	0.000

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:

Four small boxes can fit in one big box. If 50 big boxes can fit four small boxes each, each having 40 candles, calculate the total number of candles in all small boxes.

Policy Response

assistant:

* *Small boxes per big box = 4 small boxes / 4 small boxes = 1 big box.* * *Big boxes * = 50 big boxes * * * = 50 * * * * * * * * * * * * * * * * * * * * * * * *Small boxes total = 50 big boxes * * * * * * * * * * * * * * * * * * * * * = 50 * * * * * * * * * * * * * * * * * * * = 200 small boxes. * *Candles per small box = 40 candles.* * *Total candles = 200 small boxes * * * * * * * * * * * * * * * * * * * * * * * * * * * = 200 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * = 8,000 candles. \boxed{8,000}

Reward

Reward components

key	value
reference_answer	8000
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:

Four small boxes can fit in one big box. If 50 big boxes can fit four small boxes each, each having 40 candles, calculate the total number of candles in all small boxes.

Policy Response

assistant:

1. *Candles per small box* = 40 candles *each* *small box* * * * * * * *Big boxes* = 50 big boxes * * * * * *Small boxes per big box* = 4 small boxes * * * * *Total big boxes* = 50 big boxes * * * * *Candles per small box * * * * * * *Small boxes per big box* = 4 small boxes * * * * *Small boxes total* = 50 *big boxes* * * * * * * * * * * * * * * * * * * * * * * * * * 1.. *Small boxes per big box* = 4 small boxes * * 50 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *Small boxes* = 50 big boxes * * * * * * * * * * * *Big boxes per small box* = 1/4 big box * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *

Reward

Reward components

key	value
reference_answer	8000
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:

Four small boxes can fit in one big box. If 50 big boxes can fit four small boxes each, each having 40 candles, calculate the total number of candles in all small boxes.

Policy Response

assistant:

1. *Candles per small box* = 40 candles. * *Big boxes* = 50 big boxes * * * *Small boxes per big box* = 4 small boxes * * * *Candles per small box* = 40 candles. * *Total small boxes* = 50 big boxes * * * *Small boxes per big box* = 4 * * * *Candles per small box* = 40. \boxed{50 * *big boxes* * * * * *Divide by small boxes per big box* = 50 / 4 = 12.5 * * * *Round up* = 13 * * * *Small boxes* = 13 * * * *Candles per small box* = 40 * * * *Total candles* = 13 * * * * * 40 = \boxed{520}. *Step-by-step:* 1. *Candles per small box* = 40 candles. * *Small boxes per big box* = 4 small boxes. * *Big boxes* = 50 big boxes. * *Total small boxes* = 50 * * * * *Big boxes * * * *Small boxes per big box* = 50 * * * * * *Big boxes / 4 * * * * = 12.5 * * * *Round up* = 13 * * * * * *

Reward

Reward components

key	value
reference_answer	8000
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:

Four small boxes can fit in one big box. If 50 big boxes can fit four small boxes each, each having 40 candles, calculate the total number of candles in all small boxes.

Policy Response

assistant:

* *Four small boxes per big box* = 50 *big boxes* * / *4 small boxes per big box* = 50 *big boxes* * * * * * = 12.5 *big boxes* * *Candles per small box* = 40 candles * * * * * = 40 *candles* * * * * * = 40 *candles* * *Small boxes per big box* = 4 small boxes * * * * * = 4 *small boxes* * *Big boxes * * * * * * = 50 *big boxes* * *Total small boxes* = 50 *big boxes* * * * * * = 50 *big boxes* * / * 4 *small boxes per big box* = 12.5 *small boxes* * *Total candles* = 40 *candles* * * * * * = 40 *candles* * * * * * = 40 *candles* * * * * * = 12.5 *boxes* * * * * * * * * * = 12.5 *boxes* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *

Reward

Reward components

key	value
reference_answer	8000
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:

Four small boxes can fit in one big box. If 50 big boxes can fit four small boxes each, each having 40 candles, calculate the total number of candles in all small boxes.

Policy Response

assistant:

1. *Candles per small box* = 40 candles *each* *small box* * = 40 *candles*. *Small boxes per big box* = 4 small boxes *each* *big box* * = 50 big boxes * * = 50 *big boxes*. *Big boxes * = 50 *big boxes* * * = 4 *small boxes each*. *Total small boxes* = 50 *big boxes* * * = 50 * * * * = 50 * * * = 50 * * * * = 50 * * * * * = 50 * * * * * * = 50 * * * * * * * = 50 * * * * * * * * = 50 * * * * * * * * = 50 * * * * * * * * = 50 * * * * * * * * * = 50 * * * * * * * * = 50 * * * * * * * * * = 50 * * * * * * * * = 50 * * * * * * * * * = 50 * * * * * * * * = 50 * * * * * * * * * = 50 * * * * * * * * * * * * * * * * * * = 50 * * * * * * * * * * *

Reward

Reward components

key	value
reference_answer	8000
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:

Four small boxes can fit in one big box. If 50 big boxes can fit four small boxes each, each having 40 candles, calculate the total number of candles in all small boxes.

Policy Response

assistant:

1. *Candles per small box* = 40 candles * *each* * * * * * * * * * * * *Small boxes per big box* = 4 small boxes * * * * * * * * * * * *Big boxes* = 50 big boxes * * * * * * * * * *Candles per big box* = 4 small boxes * * * * * * * * * * * * * = 4 * * * * * * * * * * * * * * * * * * * * * * * *Total small boxes* = 50 big boxes * * * * * * * * * * = 50 * * * * * * * * * * * * *Candles total* = 50 * * * * * * * * * * * * * * * \boxed{40 * small boxes * * * * * * * * * * * * * * * * * * * * * *Candles per small box* = 40 candles * * * * * * * * * * * *Small boxes per big box* = 4 small boxes * * * * * * * * * * *Big boxes* = 50 big boxes * * * * * * * * * * * *Candles per big box* = 40 * * * * * * * * * * * * * * * * * * * *

Reward

Reward components

key	value
reference_answer	8000
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:

Four small boxes can fit in one big box. If 50 big boxes can fit four small boxes each, each having 40 candles, calculate the total number of candles in all small boxes.

Policy Response

assistant:

1. *Small boxes per big box* = 4 small boxes / 50 big boxes = 50 *big boxes* * * * * * * * * * * * * = 50 * big boxes * * * * * * * * * * * * = 50 * * * * * * * * * *Candles per small box* = 40 candles * * * * * * * * * * *Big boxes per small box* = 4 small boxes / 50 big boxes = 50 * * * * * * * * * * *Total small boxes* = 50 big boxes * * * * * * * * * * * * * = 50 * * * * * * * * * * * *Candles per small box * * * * * * * * * * * = 40 * * * * * * * * * * \boxed{40 * small boxes * * * * * * * * * * * = 40 * * * * * * * * * * * *Small boxes per big box* = 50 big boxes * * * * * * * * * * * * = 50 * * * * * * * * * * * *Candles * * * * * * * * * * * * * * * = 40 * * * * * * * * * * \boxed{40 * * * * *

Reward

Reward components

key	value
reference_answer	8000
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:

Four small boxes can fit in one big box. If 50 big boxes can fit four small boxes each, each having 40 candles, calculate the total number of candles in all small boxes.

Policy Response

assistant:

* *Four small boxes per big box* = 50 *big boxes* * / * four small boxes each = 50 *big boxes* * * * * * * * * * * * * 1. *Candles per small box* = 40 candles. 2. *Small boxes per big box* = 4 small boxes. 3. *Big boxes* = 50 *big boxes* * * * * * * * * * * 4. *Total small boxes* = 50 *big boxes* * * * * * * * * * * * * * * * * * = 50 *big boxes* * / * four small boxes each = 50 * big boxes * * * * * * * * * * * * * * * * * * * = 50 * big boxes * * * * * * * * * * * * * * * * * * * = 50 * * * * * * * * * * * * * * * * * * = 50 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *

Reward

Reward components

key	value
reference_answer	8000
format_valid	False
correct	False
format_coef	0.1
reward	-0.100

Trajectory Details

Trajectory 0 Episode

Episode Details

Turn 1

Step stats

key	value
ob_len	94
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 1 Episode

Episode Details

Turn 1

Step stats

key	value
ob_len	94
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	94
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 3 Episode

Episode Details

Turn 1

Step stats

key	value
ob_len	94
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 4 Episode

Episode Details

Turn 1

Step stats

key	value
ob_len	94
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 5 Episode

Episode Details

Turn 1

Step stats

key	value
ob_len	94
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 6 Episode

Episode Details

Turn 1

Step stats

key	value
ob_len	94
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 7 Episode

Episode Details

Turn 1

Step stats

key	value
ob_len	94
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:

Calvin signed up for a gym training service to lose some pounds. If he weighed 250 pounds to start with and lost 8 pounds every month during the training sessions, what's his weight after one year?

Policy Response

assistant:

* Heights *weight* = 250 - 8 *months* *per year* = 250 - 8 * 12 = 250 - 96 = 154 pounds. \boxed{154}

Reward

Reward components

key	value
reference_answer	154
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:

Calvin signed up for a gym training service to lose some pounds. If he weighed 250 pounds to start with and lost 8 pounds every month during the training sessions, what's his weight after one year?

Policy Response

assistant:

* Heights = 8 * pounds/month * * 12 months = 8 * * * * = 96 pounds * * 250 - 96 = 154 pounds \boxed{154}

Reward

Reward components

key	value
reference_answer	154
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:

Calvin signed up for a gym training service to lose some pounds. If he weighed 250 pounds to start with and lost 8 pounds every month during the training sessions, what's his weight after one year?

Policy Response

assistant:

* He loses 8 pounds every month * 12 months * = 8 * 12 = 96 pounds lost. * He started at 250 pounds * - 96 pounds = 154 pounds. \boxed{154}

Reward

Reward components

key	value
reference_answer	154
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:

Calvin signed up for a gym training service to lose some pounds. If he weighed 250 pounds to start with and lost 8 pounds every month during the training sessions, what's his weight after one year?

Policy Response

assistant:

* He weighs 250 - 8 * months* = 250 - 8 * 12 months* = 250 - 96 = 154 pounds after one year. \boxed{154}

Reward

Reward components

key	value
reference_answer	154
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:

Calvin signed up for a gym training service to lose some pounds. If he weighed 250 pounds to start with and lost 8 pounds every month during the training sessions, what's his weight after one year?

Policy Response

assistant:

1. *Pounds lost per year* = 8 pounds * 12 months = 96 pounds. *Starting weight* = 250 - 96 = 154 pounds. \boxed{154}

Reward

Reward components

key	value
reference_answer	154
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:

Calvin signed up for a gym training service to lose some pounds. If he weighed 250 pounds to start with and lost 8 pounds every month during the training sessions, what's his weight after one year?

Policy Response

assistant:

1. *Weight per month* = 8 pounds * * * * * * * * * * * * * * * * * * * * * * * *Months per year* = 12 months. *Weight after one year* = 250 - (8 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * = 250 - 8 * * * * * * * * * * * * * * * * * * * * * * = 250 - 8 * * * * * * * * * * * * * * * * * * * * * * * * * *Weight after one year* = 250 * * * * * * * * * * * * * * * * * = 250 - (8 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * = 250 - 96 = 154 pounds. \boxed{154}

Reward

Reward components

key	value
reference_answer	154
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:

Calvin signed up for a gym training service to lose some pounds. If he weighed 250 pounds to start with and lost 8 pounds every month during the training sessions, what's his weight after one year?

Policy Response

assistant:

* Months per year = 12 months / 8 pounds per month = 1 year * * = 8 * * *pounds * * * 1. *Pounds lost per year* = 8 pounds * * * * * * * * * * * = 8 * * * * * * * * * = 8 * * * * * * * * * * = 8 * * * * * * * * * * *Weight after one year* = 250 - (8 * * * * * * * * * * * * * * * * * * * = 250 - 8 * * * * * * * * * * * * = 250 - 8 * * * * * * * * * * * * * = 250 - 8 * * * * * * * * * * * * * * * * * = 250 - 8 = 242 pounds \boxed{242}

Reward

Reward components

key	value
reference_answer	154
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:

Calvin signed up for a gym training service to lose some pounds. If he weighed 250 pounds to start with and lost 8 pounds every month during the training sessions, what's his weight after one year?

Policy Response

assistant:

💭 Thinking

* Heights = 8 * months * year * = 8 * * * = 96 * lbs. *

* Initial weight = 250 * - * 8 * *_lb * *s * = 174 * lbs.

\boxed{174}

* One year = 12 * months * = 8 * * * * * * = 96 * lbs. * Weight after one year = 250 * - * 96 * *lbs* = 154 * lbs*. \boxed{154}

Reward

Reward components

key	value
reference_answer	154
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	58
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	55
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	246
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	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 4 Episode

Episode Details

Turn 1

Step stats

key	value
ob_len	98
ac_len	53
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	54
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	219
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	98
ac_len	60
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:

An iron bar measures 12 cm by 8 cm by 6 cm. A factory wants to melt ten iron bars and mold them into iron balls. Each iron ball has a volume of 8 cubic cm. How many iron balls have been molded?

Policy Response

assistant:

1. *Volume of one iron bar* = 12 cm × 8 cm × 6 cm = 576 cm³ per bar. *Volume of ten iron bars* = 10 × 576 cm³ = 5,760 cm³. *Number of iron balls* = 10 * balls * / * 8 balls * = 125 balls. \boxed{125}

Reward

Reward components

key	value
reference_answer	720
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:

An iron bar measures 12 cm by 8 cm by 6 cm. A factory wants to melt ten iron bars and mold them into iron balls. Each iron ball has a volume of 8 cubic cm. How many iron balls have been molded?

Policy Response

assistant:

* Volume of one iron bar = 12 cm * 8 cm * 6 cm = 12 * 8 * 6 = 576 cubic cm. * Volume of ten iron bars = 10 * 576 = 5,760 cubic cm. * Number of iron balls = 5,760 * 8 = 720 iron balls. \boxed{720}

Reward

Reward components

key	value
reference_answer	720
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:

An iron bar measures 12 cm by 8 cm by 6 cm. A factory wants to melt ten iron bars and mold them into iron balls. Each iron ball has a volume of 8 cubic cm. How many iron balls have been molded?

Policy Response

assistant:

1. *Volume of one iron bar* = 12 cm * 8 cm * 6 cm = 576 cubic cm. *Volume of ten iron bars* = 10 * 576 cubic cm = 5,760 cubic cm. *Number of iron balls* = 5,760 / 8 = 720 iron balls. \boxed{720}

Reward

Reward components

key	value
reference_answer	720
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:

An iron bar measures 12 cm by 8 cm by 6 cm. A factory wants to melt ten iron bars and mold them into iron balls. Each iron ball has a volume of 8 cubic cm. How many iron balls have been molded?

Policy Response

assistant:

1. *Volume of one iron bar* = 12 cm * 8 cm * 6 cm = 576 cm³. *Volume of ten iron bars* = 10 * 576 cm³ = 5,760 cm³. *Number of iron balls* = 5,760 cm³ / 8 cm³ = 720 iron balls. \boxed{720}

Reward

Reward components

key	value
reference_answer	720
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:

An iron bar measures 12 cm by 8 cm by 6 cm. A factory wants to melt ten iron bars and mold them into iron balls. Each iron ball has a volume of 8 cubic cm. How many iron balls have been molded?

Policy Response

assistant:

* Volume of one iron bar = 12 cm * 8 cm * 6 cm = 12 * 8 * 6 = 576 cm³. * Iron bars to melt = 10 bars * 12 cm * 8 cm * 6 cm = 10 * 576 cm³ = 5,760 iron balls. * *Ball volume* = 8 cm³. * *Total volume needed* = 10 bars * 576 cm³ = 10 * 8 = 1,000 iron balls. \boxed{1,000}

Reward

Reward components

key	value
reference_answer	720
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:

An iron bar measures 12 cm by 8 cm by 6 cm. A factory wants to melt ten iron bars and mold them into iron balls. Each iron ball has a volume of 8 cubic cm. How many iron balls have been molded?

Policy Response

assistant:

* *Volume of one iron bar* = 12 cm * 8 cm * 6 cm = 576 cubic cm. * *Iron needed for ten bars* = 10 * 12 * 8 * 6 = 6,000 cubic cm. * *Volume of one iron ball* = 8 cubic cm. * *Number of balls* = 6,000 / 8 = 750 iron balls. \boxed{750}

Reward

Reward components

key	value
reference_answer	720
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:

An iron bar measures 12 cm by 8 cm by 6 cm. A factory wants to melt ten iron bars and mold them into iron balls. Each iron ball has a volume of 8 cubic cm. How many iron balls have been molded?

Policy Response

assistant:

1. *Volume of one iron bar* = 12 cm * 8 cm * 6 cm = 12 * 8 * 6 = 576 cm³. * *Iron bars needed* = 10 bars * 10 * 12 * 8 * 6 = 10 * 12 * 8 * 6 = 12 * iron bars. * *Volume of one iron ball* = 8 cm³. * *Number of balls* = (10 bars * 576 cm³) / 8 cm³ = 10 * iron balls. \boxed{10}

Reward

Reward components

key	value
reference_answer	720
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:

An iron bar measures 12 cm by 8 cm by 6 cm. A factory wants to melt ten iron bars and mold them into iron balls. Each iron ball has a volume of 8 cubic cm. How many iron balls have been molded?

Policy Response

assistant:

1. *Volume of one iron bar* = 12 cm * 8 cm * 6 cm = 576 cm³. *Iron needed for ten bars* = 10 * 12 cm * 8 cm * 6 cm = 5,760 cm³. *Volume of one iron ball* = 8 cm³. *Number of balls* = 5,760 / 8 = 720 iron balls. \boxed{720}

Reward

Reward components

key	value
reference_answer	720
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	106
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 1 Episode

Episode Details

Turn 1

Step stats

key	value
ob_len	106
ac_len	112
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	106
ac_len	144
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	106
ac_len	93
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	106
ac_len	97
step_reward	0.000

Step Metrics

Metrics emitted by env.step

key	value
format	1.000
correct	0.000

Episode totals

key	value
num_turns	1
final_ob_len	0
sum_step_rewards	0.000
final_group_reward	0.000
total_return	0.000

Trajectory 5 Episode

Episode Details

Turn 1

Step stats

key	value
ob_len	106
ac_len	144
step_reward	0.000

Step Metrics

Metrics emitted by env.step

key	value
format	1.000
correct	0.000

Episode totals

key	value
num_turns	1
final_ob_len	0
sum_step_rewards	0.000
final_group_reward	0.000
total_return	0.000

Trajectory 6 Episode

Episode Details

Turn 1

Step stats

key	value
ob_len	106
ac_len	96
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	106
ac_len	111
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