RL Iteration 29

Generated 2026-06-11T16:40:58

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:
In five years, Rehana will be three times as old as Phoebe. If Rehana is currently 25 years old, and Jacob, Rehana's brother, is 3/5 of Phoebe's current age, how old is Jacob now?

Policy Response

assistant:
11.11.11.1.1.1.1.1.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1. 11. *1.1.1.1.1. 1.1.1.1.1. 1.1.1.1. 1.1.1.1. 1.1.1.1. 1.1.1.1. 1.1.1. 1.1. *1.1. *1.1.1.1. 1.1. *1.1.* 1. *1. Rehana in 5 years = 25 + 5 = 30 years. 1. *1. Phoebe = 30 / 3 = 10 years. 1. *1. Jacob = 3/5 * 10 = 6 years. \boxed{6}

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:
In five years, Rehana will be three times as old as Phoebe. If Rehana is currently 25 years old, and Jacob, Rehana's brother, is 3/5 of Phoebe's current age, how old is Jacob now?

Policy Response

assistant:
11.11.11.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1 11.1.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1.1. 11.1.1.1. 1.1.1.1.1.1. 1.1.1.1. 1.1.1.1. 1.1.1.1. 1.1.1.1. 1.1.1. 1.1. *1.1.1. 1. *1.1.1. 1. *1.1. 1. *1. Years in five years = 5 years. 1. *1. Rehana's future age = 25 + 5 = 30 years. 1. *1. Phoebe's future age = 30 / 3 = 10 years. 1. *1. Phoebe's current age = 10 - 5 = 5 years. 1. *1. Jacob = 3/5 * 5 = 3 years. \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:
In five years, Rehana will be three times as old as Phoebe. If Rehana is currently 25 years old, and Jacob, Rehana's brother, is 3/5 of Phoebe's current age, how old is Jacob now?

Policy Response

assistant:
11.11.11.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1. 1.1.1.1.1. 1.1.1.1.1. 11.1.1.1. 1.1.1.1. 1.1.1.1. 1.1.1. 1.1.1. 1.1. *1.1.1. 1.1. *1.1. 1. *1.1.* 1.1. *1. Past Age = 25 + 5 = 30 years. 1. *1. Phoebe * = 30 / 3 = 10 years. 1. *1. Jacob = 3/5 * 10 = 6 years. \boxed{6}

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:
In five years, Rehana will be three times as old as Phoebe. If Rehana is currently 25 years old, and Jacob, Rehana's brother, is 3/5 of Phoebe's current age, how old is Jacob now?

Policy Response

assistant:
11.11.11.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1. 11.1.1.1.1. 11.1.1.1. 1.1.1.1.1. 11.1.1.1. 1.1.1.1. 1.1.1.1. 1.1.1.1. 1.1.1. 1.1.1. 1.1. *1.1.1. 1.1.1. 1.1. *1.1. 1.1. *1. 1. *1. Phoebe's age in 5 years = 5 years + 5 * 1/5 = 5 + 1 = 6? *Rehana's age in 5 years = 25 + 5 = 30. *30 = 3 * Phoebe * 5 * 5 = 30 = 30/3 = 10 years. 1.*

Reward

Reward components
key value
reference_answer 3
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:
In five years, Rehana will be three times as old as Phoebe. If Rehana is currently 25 years old, and Jacob, Rehana's brother, is 3/5 of Phoebe's current age, how old is Jacob now?

Policy Response

assistant:
11.11.11.1.1.1.1.1.1.1.1.1.1.1.1.1 11.1.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1.1. 11.1.1.1.1.1. 11.1.1.1.1. 11.1.1.1. 1.1.1.1.1. 11.1.1.1.1. 11. 1.1.1.1.1. 11. 1.1.1.1. 1.1.1.1. 1.1.1. 1.1.1. 1.1. 1.1. 1.1. 1.1. 1.1. 1.1. 1.1. 1. *1.1.1. 1. *1.1.1. 1. *1. 1. *1* 1. *1. Rehana in 5 years = 25 + 5 = 30 years old. 1. *1. Phoebe = 30 / 3 = 10 years old. 1. *1. Phoebe current =

Reward

Reward components
key value
reference_answer 3
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:
In five years, Rehana will be three times as old as Phoebe. If Rehana is currently 25 years old, and Jacob, Rehana's brother, is 3/5 of Phoebe's current age, how old is Jacob now?

Policy Response

assistant:
11.11.11.1.1.1.1.1.1.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1.1.1.1. 11.1.1.1.1. 11.1.1.1.1. 11.1.1.1. 1.1.1.1.1.1. 1.1.1.1. 1.1.1.1. 1.1.1. 1.1.1.1. 1.1.1. 1.1.1. 1.1. 1.1. *1.1.1. 1.1. *1.1. 1. *1.1. 1. *1. Rehana's age in 5 years = 25 + 5 = 30. 1. *1. Phoebe's age = 30 / 3 = 10. 1. *1. Jacob's current age = 3/5 * 10 = 6. \boxed{6}

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:
In five years, Rehana will be three times as old as Phoebe. If Rehana is currently 25 years old, and Jacob, Rehana's brother, is 3/5 of Phoebe's current age, how old is Jacob now?

Policy Response

assistant:
11.11.11.1.1.1.1.1.1.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1.1. 11.1.1.1.1. 11.1.1.1. 11.1.1.1. 11.1.1.1. 11.1.1.1. 11.1.1. 1.1.1.1.1. 11.1.1.1. 1.1.1.1. 1.1.1.1. 1.1.1. 1.1.1.1. 1.1.1. 1.1. *1.1.1. 1. *1.1.1. 1. *1.1.1. 1. 1.1. 1.1. 1. *1. * 1. 1.1. 1. *1. * 1. *1. * 1. 1.1. 1. *1. * 1. *1. * 1. *1. * 1. 1. * 1.

Reward

Reward components
key value
reference_answer 3
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:
In five years, Rehana will be three times as old as Phoebe. If Rehana is currently 25 years old, and Jacob, Rehana's brother, is 3/5 of Phoebe's current age, how old is Jacob now?

Policy Response

assistant:
11.11.11.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1. 11.1.1.1.1.1. 1.1.1.1.1. 1.1.1.1. 1.1.1.1. 1.1.1.1. 1.1.1.1. 1.1.1.1. 1.1.1. 1.1. *1.1.1. 1. *1.1. 1. *1. Rehana's age in 5 years = 25 + 5 = 30 years. 1. *1. Phoebe's age in 5 years = 30 / 3 = 10 years. 1. *1. Phoebe's current age = 10 - 5 = 5 years. 1. *1. Jacob = 3/5 * 5 = 3 years. \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 108
ac_len 273
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 108
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 2 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 108
ac_len 283
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 108
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 108
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 108
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 108
ac_len 298
step_reward 0.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 0.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 0.000
final_group_reward 0.000
total_return 0.000

Trajectory 7 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 108
ac_len 313
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:
Samir climbed 318 stairs yesterday. Veronica climbed 18 more than half that amount. How many stairs did Veronica and Samir climb together yesterday?

Policy Response

assistant:
11.11.11.1.1.1.1.1.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1. 11.1.1.1.1.1. 11.1.1.1.1. 11.1.1.1. *1.1.1.Half of Samir's stairs = 318 * 0.5 = 159. 11.1.1.1.1.18 * 18 = 18. 11.1.1.1.1.18 + 159 = 177. 11.1.1.1.318 + 177 = 495. \boxed{495}

Reward

Reward components
key value
reference_answer 495
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:
Samir climbed 318 stairs yesterday. Veronica climbed 18 more than half that amount. How many stairs did Veronica and Samir climb together yesterday?

Policy Response

assistant:
11.11.11.1.1.1.1.1.1.1.1.1.1.1.1.1 11.1.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1. 11.1.1.1.1. 11. *1.1.1.1. 1.1.1.1.1. 1.1.1.1. *Half of Samir's stairs* = 318 * 1/2 = 159. 1.1.1. *Veronica's stairs* = 18 + 159 = 177. 1.1. *Total stairs* = Samir + Veronica = 318 + 177 = 495. \boxed{495}

Reward

Reward components
key value
reference_answer 495
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:
Samir climbed 318 stairs yesterday. Veronica climbed 18 more than half that amount. How many stairs did Veronica and Samir climb together yesterday?

Policy Response

assistant:
11.11.11.1.1.1.1.1.1.1.1.1.1.1.1.*11.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1.1. 11.1 *1.1.1.1. 1.1.1.1.1. 1.1.1.1. 1.1.1.1. *Half of Samir's stairs = 318 * 1/2 = 159.* 1.1.1. *Veronica = 18 + 159 = 177.* 1.1. *Total = Samir + Veronica = 318 + 177 = 495.* \boxed{495}

Reward

Reward components
key value
reference_answer 495
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:
Samir climbed 318 stairs yesterday. Veronica climbed 18 more than half that amount. How many stairs did Veronica and Samir climb together yesterday?

Policy Response

assistant:
11.11.11.1.1.1.1.1.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1. 11.1.1.1.1. 11.1.1.1. 1.1.1.1.1. 1.1.1.1. 11. *1.1.1. 1.1.1.1. 1.1.1. *1.Half of Samir's stairs = 318 * 1/2 = 159. 1. *18 * 18 + 159 = 177. 1. *177 + 318 = 495. \boxed{495}

Reward

Reward components
key value
reference_answer 495
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:
Samir climbed 318 stairs yesterday. Veronica climbed 18 more than half that amount. How many stairs did Veronica and Samir climb together yesterday?

Policy Response

assistant:
11.11.11.1.1.1.1.1.1.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1. 11.1.1.1.1. 11.1.1.1. 1.1.1.1.1. 1.1.1.1. 1.1.1.1. 1.1.1.1. 1.1.1.1. 1.1.1. 1.1. *1.1.1. 1.1. *Stairs for Veronica* = 18 + (318 * 1/2) = 18 + 159 = 177. 1. *Total Stairs* = Samir + Veronica = 318 + 177 = 495. \boxed{495}

Reward

Reward components
key value
reference_answer 495
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:
Samir climbed 318 stairs yesterday. Veronica climbed 18 more than half that amount. How many stairs did Veronica and Samir climb together yesterday?

Policy Response

assistant:
11.11.11.1.1.1.1.1.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1. 11.1.1.1.1. 11.1.1.1. 11.1.1.1. 11.1.1.1. 11.1.1.1. 1.1.1.1. 1.1.1.1. 1.1.1.1. 1.1.1. 1.1.1. 1.1. *1.1.1. 1. *Half of Samir's stairs = 318 * 0.5 = 159. 1. *Veronica's stairs = 18 + 159 = 177. 1. *Total = Samir + Veronica = 318 + 177 = 495. \boxed{495}

Reward

Reward components
key value
reference_answer 495
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:
Samir climbed 318 stairs yesterday. Veronica climbed 18 more than half that amount. How many stairs did Veronica and Samir climb together yesterday?

Policy Response

assistant:
11.11.11.1.1.1.1.1.1.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1.1. 11.1.1.1.1. 11.1.1.1.1. 11. *1.1.1.1. 1.1.1.1. 1.1.1.1. 1.1.1.1. 1.1.1.1. 1.1.1.1. 1.1. *1.1. Stairs for Veronica = 18 + (318 * 1/2) = 18 + 159 = 177.* 1.1. *Total Stairs = Samir + Veronica = 318 + 177 = 495.* \boxed{495}

Reward

Reward components
key value
reference_answer 495
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:
Samir climbed 318 stairs yesterday. Veronica climbed 18 more than half that amount. How many stairs did Veronica and Samir climb together yesterday?

Policy Response

assistant:
11.11.11.1.1.1.1.1.1.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1. 11.1.1.1.1.1. 11.1.1.1.1. 11.1.1.1. 1.1.1.1.1. 11. *1.1.1.1. * 1.1.1.1.1. 1.1.1.1. *Half of Samir's stairs* = 318 * 1/2 = 159. 11.1.1.1. *Veronica's stairs* = 18 + 159 = 177. 11.1.1.1. *Total* = Samir + Veronica = 318 + 177 = 495. \boxed{495}

Reward

Reward components
key value
reference_answer 495
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 252
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 241
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 232
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 86
ac_len 250
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 290
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 229
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 219
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 266
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:
Jack and Jill shared the cost of renting a cottage that costs $5 an hour. If they rented it for eight hours, how much did each friend pay?

Policy Response

assistant:
11.1.11.11.1.1.1.1.1.1.1.*11.1.1.1.1.1.1.1.1.1.1. *11.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1. 11. *1.1.*1.*Cost per Hour* = $5 hours * 8 hours = $40. 11. *Each Friend* = $40 / 2 = $20. \boxed{20}

Reward

Reward components
key value
reference_answer 20
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:
Jack and Jill shared the cost of renting a cottage that costs $5 an hour. If they rented it for eight hours, how much did each friend pay?

Policy Response

assistant:
11.1.11.11.1.1.1.1.*11.1.1.1.1.1.1.1.*1.1.1.1.* 11.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1. 11. *1.1.1.* *1.1.1.* 1.1.1.1.1.1. 1.*Cost per Hour* = $5 * 8 hours = $40. 11. *Each Friend* = $40 / 2 = $20. \boxed{20}

Reward

Reward components
key value
reference_answer 20
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:
Jack and Jill shared the cost of renting a cottage that costs $5 an hour. If they rented it for eight hours, how much did each friend pay?

Policy Response

assistant:
11.1.11.11.1.1.1.1.1.1.1.1.1.1.*11.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1. 1.1.1.1.1.1. 1.1.1.1. *Cost per Hour* = $5 * 8 hours = $40. 1.1. *Friend* = $40 / 2 = $20. \boxed{20}

Reward

Reward components
key value
reference_answer 20
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:
Jack and Jill shared the cost of renting a cottage that costs $5 an hour. If they rented it for eight hours, how much did each friend pay?

Policy Response

assistant:
11.1.11.11.1.1.1.1.1.1.1.1.1.1.1.1.*11.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11. *1.1.1.1.1. 11.1.1.1.1.1. 1.1.1.1.1. *Hours * = 8 hours * *Cost Per Hour * = $5 * = $40 total. 11.1.1. 11.1. 11.1.$40 / 2 friends = $20 each. \boxed{20}

Reward

Reward components
key value
reference_answer 20
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:
Jack and Jill shared the cost of renting a cottage that costs $5 an hour. If they rented it for eight hours, how much did each friend pay?

Policy Response

assistant:
11.1.11.11.1.1.1.*11.1.1.1.1.1.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.*1.1.*1.*Cost per Hour *= $5/hour * *Rental Time * = 8 hours *Total Cost * = $5/hour * 8 hours = $40 * 11.1.1.1 *Each Friend *= $40 / 2 = $20 * \boxed{20}

Reward

Reward components
key value
reference_answer 20
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:
Jack and Jill shared the cost of renting a cottage that costs $5 an hour. If they rented it for eight hours, how much did each friend pay?

Policy Response

assistant:
11.1.11.11.1.1.1.1.1.1.1.*11.1.1.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1.1. 1*1.1.1.*1.*Cost per Hour = $5 * 8 hours = $40. 1. *Each Friend = $40 / 2 = $20. \boxed{20}

Reward

Reward components
key value
reference_answer 20
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:
Jack and Jill shared the cost of renting a cottage that costs $5 an hour. If they rented it for eight hours, how much did each friend pay?

Policy Response

assistant:
11.1.11.11.1.1.1.1.1.1.1.1.1.1.*11.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1. 1.1.1.1.1.1. 1.1.1.1.1. 1.1.1.1. *Cost per Hour* = $5 * 8 hours = $40. 11.1 11.1 11.1 *Each Friend* = $40 / 2 = $20. \boxed{20}

Reward

Reward components
key value
reference_answer 20
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:
Jack and Jill shared the cost of renting a cottage that costs $5 an hour. If they rented it for eight hours, how much did each friend pay?

Policy Response

assistant:
11.1.1.11.11.1.1.1.1.1.1.1.1.1.1.*11.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1. 1.1.1.1.1.1. 1.1.1.1.1. 1.1.1.1. 1.1.1.1. *1.*1.*Cottage rent = $5/hour * 8 hours = $40. 1. *Each friend = $40 / 2 = $20. \boxed{20}

Reward

Reward components
key value
reference_answer 20
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 85
ac_len 193
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 85
ac_len 167
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 85
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 3 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 85
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 4 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 85
ac_len 205
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 85
ac_len 154
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 85
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 7 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 85
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:
Tony drives a car that gets 25 miles to the gallon. He drives 50 miles round trip to work 5 days a week. His tank holds 10 gallons. He begins the week with a full tank and when he runs out he fills up at the local gas station for $2 a gallon. How much money does Tony spend on gas in 4 weeks?

Policy Response

assistant:
11.11.11.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1. 11.1.1.1.1.1.1. *1.Miles per Week = (50 miles/week * 4 weeks) = 200 miles. 11.1.1.1.1.1.1. *Gal/kick = 200 miles / 25 mpg = 8 gallons. 11.1.1.1.1.1. *Full Tankes* = 4 weeks * 1 full tank = 4 tanks = 40 gallons. 11.1.1.1.1.1. *Gas Needed* = 40 gallons - 8 gallons = 32 gallons. 11.1.1.1.1. *Cost* = 32 gallons * $2 = $64. \boxed{64}

Reward

Reward components
key value
reference_answer 80
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:
Tony drives a car that gets 25 miles to the gallon. He drives 50 miles round trip to work 5 days a week. His tank holds 10 gallons. He begins the week with a full tank and when he runs out he fills up at the local gas station for $2 a gallon. How much money does Tony spend on gas in 4 weeks?

Policy Response

assistant:
11.11.11.1.1.1.1.1.1.1.1.1.1.1.*11.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1. 11.1.1.1. 1.1.1.1.1.1. 1.1.1.1.1. 1.1.1.1. 1.1.1.1. *1.1.1.1. 1.1. *Miles per Week* = (50 miles/trip * 5 days) = 250 miles/week. 1. *Full Tank Distance* = 10 gallons * 25 mpg = 250 miles/week. 1. *Weeks = 4 weeks*. 1. *Gas Needed* = (4 weeks * 250 miles/week) / 25 mpg = 40 gallons. 1. *Gallons Per Fill* = 40 gallons / 10 gallons = 4 fills. 1. *Cost* = 4 fills * $2 * = $8.

Reward

Reward components
key value
reference_answer 80
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:
Tony drives a car that gets 25 miles to the gallon. He drives 50 miles round trip to work 5 days a week. His tank holds 10 gallons. He begins the week with a full tank and when he runs out he fills up at the local gas station for $2 a gallon. How much money does Tony spend on gas in 4 weeks?

Policy Response

assistant:
11.1.11.11 miles/round trip = 50 miles * 4 weeks = 200 miles/week * 4 weeks = 200 miles. 11.1.11.1.11.1.1.Gas per Fill = (Miles / MilesPerGallon) = 200 / 25 = 8 gallons. 11.1 11.1 *Weeks* = 4 weeks * 5 days = 20 fill-up events? *He runs out after* 10 *gallons * 25 *miles = 250 miles = 250 / 50 = 1 week. 11. 11.1.1.1.1. 11.1.1.1.1.1. 1.1.1.1.1.1. 1.1.1.1.1. 1.1.1.*Miles per Week* = 50 miles * 4 weeks = 200 miles. 11.1 11.1 *Total Gas* = 200 miles / 25 mpg = 8 gallons. 11.1 *Full Tanks* = 4 weeks * 1 week = 4 full tanks = 4 * 10 = 40 gallons. 11.1 *Remaining After Fill-Ups* =

Reward

Reward components
key value
reference_answer 80
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:
Tony drives a car that gets 25 miles to the gallon. He drives 50 miles round trip to work 5 days a week. His tank holds 10 gallons. He begins the week with a full tank and when he runs out he fills up at the local gas station for $2 a gallon. How much money does Tony spend on gas in 4 weeks?

Policy Response

assistant:
11.11.11.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1. 11.1.1.1.1. *11.1.1.1.1. 1.1.1.1.1. 1.1.1.1. *Miles per Week* = (50 miles * 5 days) = 250 miles/week. 11.1.1.1.1. *Full Tanks* = (4 weeks * 4 * 10 gallons) = 160 gallons. 11.1.1.1.1. *Gas Needed* = (4 weeks * 250 miles) / 25 mpg = 40 gallons/week = 40 * 4 weeks = 160 gallons. 11.1.1.1.1. *Gaz Station Cost* = *Gas Needed* * *Price* = 160 * $2 = $320. \boxed{320}

Reward

Reward components
key value
reference_answer 80
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:
Tony drives a car that gets 25 miles to the gallon. He drives 50 miles round trip to work 5 days a week. His tank holds 10 gallons. He begins the week with a full tank and when he runs out he fills up at the local gas station for $2 a gallon. How much money does Tony spend on gas in 4 weeks?

Policy Response

assistant:
11.11.11.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1.1. 11.1.1.1.1. 1.1.1.1.1.1. 1.1.1.1.1. 1.1.1.1.1. 1.1.1.1. 1.1.1.1. *Miles per Week* = (50 miles * 5 days) = 250 miles/week. 1.1.1.1. 1.1.1. *Weeks* = 4 weeks. 1.1.1. *Total Weeks* = 4 * 4 = 16 weeks? No, 4 weeks * 4 = 16 weeks? 1.1.1. *Miles* = 250 miles/week * 4 weeks = 1000 miles. 1.1.1. *Full Tank Fillers* = (Full Tank * Weeks) - (Miles * Tank Capacity / MPG) = (

Reward

Reward components
key value
reference_answer 80
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:
Tony drives a car that gets 25 miles to the gallon. He drives 50 miles round trip to work 5 days a week. His tank holds 10 gallons. He begins the week with a full tank and when he runs out he fills up at the local gas station for $2 a gallon. How much money does Tony spend on gas in 4 weeks?

Policy Response

assistant:
11.11.11.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1. 11.1.1.1. 11.1.1.1. 11.1.1.1. *1.Miles per Round Trip = 50 miles * 5 days = 250 miles/week. 11.1.1.1. 11.1.1.1. 11.1.1.1. 11.1.1.1. 11.1.1.1. 11.1.1.1. 1.1.1. *Gas Used Per Week* = *Miles / Miles Per Gallon* = 250 * 4 weeks = 10,000 miles. 10,000 miles / 25 mpg = 400 gallons. *Full Tanks* = 400 * 10 = 40 full tanks. *Gas Station Visits* = 40 * 5 = 40 times per

Reward

Reward components
key value
reference_answer 80
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:
Tony drives a car that gets 25 miles to the gallon. He drives 50 miles round trip to work 5 days a week. His tank holds 10 gallons. He begins the week with a full tank and when he runs out he fills up at the local gas station for $2 a gallon. How much money does Tony spend on gas in 4 weeks?

Policy Response

assistant:
11.1.11.11.1.1.1.1.1.1.1.1.1.1.*11.1.1.1.1.1.1.1.1. 11.1.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1.1.1. 11.1.1.1.1.1. 11.1.1.1.1. 1.1.1.1.1. 1.1.1.1. 1.1.1.1. 1.1.1.1. 1.1.1.1. 1.1.1.1. 1.1. *Miles per Week* = (50 miles * 5 days) = 250 miles/week. 1. *Refills per Week* = Full Tank (10 gal) * (25 mpg) = 4 refills/week. 1. *Remaining Tank* = 10 - (4 refills * 10 gal) = 10 - 40 = -30. 1. *Refills* = 4 * (30/10) = 12 refills/week. 1. *Weeks* = 4 weeks * 1

Reward

Reward components
key value
reference_answer 80
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:
Tony drives a car that gets 25 miles to the gallon. He drives 50 miles round trip to work 5 days a week. His tank holds 10 gallons. He begins the week with a full tank and when he runs out he fills up at the local gas station for $2 a gallon. How much money does Tony spend on gas in 4 weeks?

Policy Response

assistant:
11.11.11.1.1.1.1.1.1.1.1.1.1.1.1.1.1.1 M11.1.1.1.1.1.1.1. 11.1.1.1.1.1.1. *1.1.Miles per Trip = 50 miles * 5 days = 250 miles/week. 11.1.1.1.1.1.1.1. *Weeks* = 4 weeks. 11.1.1.1.1.1.1. *Gallans per Week* = (250 miles / 25 mpg) = 10 gallons. 11.1.1.1.1.1. *Tank Capacity* = 10 gallons. 11.1.1.1.1.1. *Full Tanks* = 4 weeks * 4 full tanks (4 * 10) = 16 gallons per week = 4 * 10 = 40 gallons? *He starts each week with a full tank.* 1.1. *Miles per Week* = 50 miles * 5 days = 250 miles/week. 1.1. *Gallons Consumed* = 250 / 25 = 10 gallons/week. 1.1.

Reward

Reward components
key value
reference_answer 80
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 135
ac_len 260
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 135
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 135
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 135
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 135
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 135
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 135
ac_len 311
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 135
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