RL Iteration 16

Generated 2026-06-11T16:38:22

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:
Three companies, A, B, and C, each purchased 10 ad spaces on a newspaper, with each ad space having a size of 12 foot by 5-foot rectangle. If each square foot ad was charged at $60, how much money did the three pay for the ads combined?

Policy Response

assistant:
Each ad space has an area of 12 foot * 5 foot = 60 square feet. 3 companies * 10 ad spaces = 30 ad spaces total. 30 ad spaces * 60 square feet = 1800 square feet. 1800 * 60 = 108000 dollars. \boxed{108000}

Reward

Reward components
key value
reference_answer 108000
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:
Three companies, A, B, and C, each purchased 10 ad spaces on a newspaper, with each ad space having a size of 12 foot by 5-foot rectangle. If each square foot ad was charged at $60, how much money did the three pay for the ads combined?

Policy Response

assistant:
Ad spaces per company = 10 Footage per ad = 12 * 5 = 60 Total Ad spaces = 3 * 10 = 30 Total Footage = 30 * 60 = 1800 Total Cost = 1800 * 60 = 108000 \boxed{108000}

Reward

Reward components
key value
reference_answer 108000
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:
Three companies, A, B, and C, each purchased 10 ad spaces on a newspaper, with each ad space having a size of 12 foot by 5-foot rectangle. If each square foot ad was charged at $60, how much money did the three pay for the ads combined?

Policy Response

assistant:
Ad Space Area = 12 * 5 = 60 square feet Total Ad Spaces = 3 companies * 10 ad spaces = 30 ad spaces Total Square Feet = 30 * 60 = 1800 square feet Total Cost = 1800 * 60 = 108000 \boxed{108000}

Reward

Reward components
key value
reference_answer 108000
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:
Three companies, A, B, and C, each purchased 10 ad spaces on a newspaper, with each ad space having a size of 12 foot by 5-foot rectangle. If each square foot ad was charged at $60, how much money did the three pay for the ads combined?

Policy Response

assistant:
Each company purchased 10 ad spaces. 1. Find the area of each ad space: 12 feet * 5 feet = 60 square feet. 2. Find the total area per company: 10 ad spaces * 60 square feet = 600 square feet. 3. Find the total area for 3 companies: 3 * 600 = 1800 square feet. 4. Calculate the total cost: 1800 * 60 = 108000. \boxed{108000}

Reward

Reward components
key value
reference_answer 108000
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:
Three companies, A, B, and C, each purchased 10 ad spaces on a newspaper, with each ad space having a size of 12 foot by 5-foot rectangle. If each square foot ad was charged at $60, how much money did the three pay for the ads combined?

Policy Response

assistant:
Ad Spaces per Company = 10 Ad Space Area = 12 * 5 = 60 Total Ad Spaces = 3 Companies * 10 Ad Spaces = 30 Total Square Footage = 30 * 60 = 1800 Total Cost = 1800 * 60 = 108000 \boxed{108000}

Reward

Reward components
key value
reference_answer 108000
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:
Three companies, A, B, and C, each purchased 10 ad spaces on a newspaper, with each ad space having a size of 12 foot by 5-foot rectangle. If each square foot ad was charged at $60, how much money did the three pay for the ads combined?

Policy Response

assistant:
Ad Spaces per Company = 10 Ad Space Area = 12 * 5 = 60 square feet Ad Cost per Company = 60 * 60 = 3600 Total Ad Spaces = 3 * 10 = 30 Total Area = 30 * 60 = 1800 square feet Total Cost = 1800 * 60 = 108000 \boxed{108000}

Reward

Reward components
key value
reference_answer 108000
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:
Three companies, A, B, and C, each purchased 10 ad spaces on a newspaper, with each ad space having a size of 12 foot by 5-foot rectangle. If each square foot ad was charged at $60, how much money did the three pay for the ads combined?

Policy Response

assistant:
Ad Spaces per Company = 10 Ad Space Width = 12 feet Ad Space Height = 5 feet Cost per Square Foot = 60 Square Feet per Ad = 12 * 5 = 60 Total Square Feet per Company = 60 * 10 = 600 Total Square Feet = 600 * 3 = 1800 Total Cost = 1800 * 60 = 108000 \boxed{108000}

Reward

Reward components
key value
reference_answer 108000
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:
Three companies, A, B, and C, each purchased 10 ad spaces on a newspaper, with each ad space having a size of 12 foot by 5-foot rectangle. If each square foot ad was charged at $60, how much money did the three pay for the ads combined?

Policy Response

assistant:
Spaces per company = 10 Size per space = 12 * 5 = 60 sq ft Cost per space = 60 * 60 = 3600 Total spaces = 3 * 10 = 30 Total sq ft = 30 * 60 = 1800 Total Cost = 1800 * 3600 = 6480000 \boxed{6480000}

Reward

Reward components
key value
reference_answer 108000
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 90
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 116
ac_len 130
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 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

Trajectory 3 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 116
ac_len 120
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 116
ac_len 90
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 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 6 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 116
ac_len 111
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 7 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 116
ac_len 89
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Group Rollout

Prompt

system:
You are a careful math assistant. Solve the grade-school math problem step by step, then give the final numeric answer on its own line in the form \boxed{ANSWER}.
user:
Amber and Josh are flying to France for vacation. Their flight leaves at 8:00 pm and as an international flight, it's recommended that they check in 2 hours early. It will take 45 minutes to drive to the airport and another 15 minutes to park their vehicle and make their way to the terminal. What is the latest time they can leave their house to make it to the airport in time?

Policy Response

assistant:
Check in time: 2 hours early from 8:00 pm = 6:00 pm Driving time: 45 minutes + 15 minutes = 60 minutes = 1 hour Leave time: 6:00 pm - 1 hour = 5:00 pm \boxed{5:00 pm}

Reward

Reward components
key value
reference_answer 5
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:
Amber and Josh are flying to France for vacation. Their flight leaves at 8:00 pm and as an international flight, it's recommended that they check in 2 hours early. It will take 45 minutes to drive to the airport and another 15 minutes to park their vehicle and make their way to the terminal. What is the latest time they can leave their house to make it to the airport in time?

Policy Response

assistant:
Check in 2 hours early: 8:00 pm - 2 hours = 6:00 pm Time to travel: 45 minutes + 15 minutes = 60 minutes = 1 hour Leave 1 hour before 6:00 pm: 6:00 pm - 1 hour = 5:00 pm \boxed{5:00 pm}

Reward

Reward components
key value
reference_answer 5
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:
Amber and Josh are flying to France for vacation. Their flight leaves at 8:00 pm and as an international flight, it's recommended that they check in 2 hours early. It will take 45 minutes to drive to the airport and another 15 minutes to park their vehicle and make their way to the terminal. What is the latest time they can leave their house to make it to the airport in time?

Policy Response

assistant:
Check-in time: 2 hours before 8:00 pm = 6:00 pm Drive to airport: 45 minutes Park & Terminal: 15 minutes Total time: 45 + 15 = 60 minutes = 1 hour Leave time: 6:00 pm - 1 hour = 5:00 pm \boxed{5:00 pm}

Reward

Reward components
key value
reference_answer 5
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:
Amber and Josh are flying to France for vacation. Their flight leaves at 8:00 pm and as an international flight, it's recommended that they check in 2 hours early. It will take 45 minutes to drive to the airport and another 15 minutes to park their vehicle and make their way to the terminal. What is the latest time they can leave their house to make it to the airport in time?

Policy Response

assistant:
Flight check-in time: 8:00 pm - 2 hours = 6:00 pm Drive to airport: 45 minutes Park and to terminal: 15 minutes Total time: 45 + 15 = 60 minutes = 1 hour Leave house: 6:00 pm - 1 hour = 5:00 pm \boxed{5:00 pm}

Reward

Reward components
key value
reference_answer 5
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:
Amber and Josh are flying to France for vacation. Their flight leaves at 8:00 pm and as an international flight, it's recommended that they check in 2 hours early. It will take 45 minutes to drive to the airport and another 15 minutes to park their vehicle and make their way to the terminal. What is the latest time they can leave their house to make it to the airport in time?

Policy Response

assistant:
Check in time: 2 hours early from 8:00 pm 1. Check in time: 8:00 pm - 2 hours = 6:00 pm 2. Drive time: 45 minutes 3. Park & Terminal time: 45 + 15 = 60 minutes = 1 hour 4. Airport arrival time: 6:00 pm - 1 hour = 5:00 pm 5. Leave house time: 5:00 pm - 45 minutes = 4:15 pm \boxed{4:15 pm}

Reward

Reward components
key value
reference_answer 5
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:
Amber and Josh are flying to France for vacation. Their flight leaves at 8:00 pm and as an international flight, it's recommended that they check in 2 hours early. It will take 45 minutes to drive to the airport and another 15 minutes to park their vehicle and make their way to the terminal. What is the latest time they can leave their house to make it to the airport in time?

Policy Response

assistant:
* 2 hours early from 8:00 pm is 6 hours from 8:00 pm: 8:00 pm - 2 hours = 6:00 pm. * 45 minutes + 15 minutes = 60 minutes = 1 hour. * 6:00 pm - 1 hour = 5:00 pm. \boxed{5:00 pm}

Reward

Reward components
key value
reference_answer 5
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:
Amber and Josh are flying to France for vacation. Their flight leaves at 8:00 pm and as an international flight, it's recommended that they check in 2 hours early. It will take 45 minutes to drive to the airport and another 15 minutes to park their vehicle and make their way to the terminal. What is the latest time they can leave their house to make it to the airport in time?

Policy Response

assistant:
Check in time: 2 hours before 8:00 pm 1. 2 hours before 8:00 pm is 6:00 pm. 2. Total time for airport preparation: 45 minutes + 15 minutes = 60 minutes = 1 hour. 3. Departure time: 6:00 pm - 1 hour = 5:00 pm. \boxed{5:00 pm}

Reward

Reward components
key value
reference_answer 5
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:
Amber and Josh are flying to France for vacation. Their flight leaves at 8:00 pm and as an international flight, it's recommended that they check in 2 hours early. It will take 45 minutes to drive to the airport and another 15 minutes to park their vehicle and make their way to the terminal. What is the latest time they can leave their house to make it to the airport in time?

Policy Response

assistant:
Check in time: 2 hours early from 8:00 pm = 6:00 pm Drive to airport: 45 minutes Park & to terminal: 15 minutes Total time: 45 + 15 = 60 minutes = 1 hour Leave house: 6:00 pm - 1 hour = 5:00 pm \boxed{5:00 pm}

Reward

Reward components
key value
reference_answer 5
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 144
ac_len 76
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 1 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 144
ac_len 93
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 144
ac_len 99
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 144
ac_len 94
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 144
ac_len 91
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 144
ac_len 93
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 144
ac_len 133
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 144
ac_len 88
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:
Gina can paint six cups an hour with roses and 7 cups an hour with lilies. Her Etsy store gets an order for 6 rose cups and 14 lily cups. If Gina gets paid $90 total for the order, how much does she make per hour?

Policy Response

assistant:
Cups per hour with roses: 6 Cups per hour with lilies: 7 Orders: 6 rose cups + 14 lily cups = 20 cups Hours: 20 cups / 6 cups per hour = 3.3333 hours Pay per hour: 90 / 3.3333 = 27 \boxed{27}

Reward

Reward components
key value
reference_answer 30
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:
Gina can paint six cups an hour with roses and 7 cups an hour with lilies. Her Etsy store gets an order for 6 rose cups and 14 lily cups. If Gina gets paid $90 total for the order, how much does she make per hour?

Policy Response

assistant:
Roses: 6 cups per hour Lilies: 7 cups per hour Roses: 6 cups Lilies: 14 cups Total Cups: 6 + 14 = 20 cups Hours: 20 / 6 = 3.3333 hours Pay per Hour: 90 / 3.3333 = 27 dollars \boxed{27}

Reward

Reward components
key value
reference_answer 30
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:
Gina can paint six cups an hour with roses and 7 cups an hour with lilies. Her Etsy store gets an order for 6 rose cups and 14 lily cups. If Gina gets paid $90 total for the order, how much does she make per hour?

Policy Response

assistant:
Cups per hour with roses: 6 Cups per hour with lilies: 7 Roses: 6 cups Lilies: 14 cups Total cups: 6 + 14 = 20 Hours: 20 / 6 = 3.3333 hours Pay per hour: 90 / 3.3333 = 27 \boxed{27}

Reward

Reward components
key value
reference_answer 30
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:
Gina can paint six cups an hour with roses and 7 cups an hour with lilies. Her Etsy store gets an order for 6 rose cups and 14 lily cups. If Gina gets paid $90 total for the order, how much does she make per hour?

Policy Response

assistant:
Roses: 6 cups per hour Lilies: 7 cups per hour Roses: 6 rose cups Lilies: 14 lily cups Total Hours: (Roses / Roses per Hour) + (Lilies / Lilies per Hour) Roses: 6 / 6 = 1 hour Lilies: 14 / 7 = 2 hours Total: 1 + 2 = 3 hours Pay: 90 / 3 = 30 per hour \boxed{30}

Reward

Reward components
key value
reference_answer 30
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:
Gina can paint six cups an hour with roses and 7 cups an hour with lilies. Her Etsy store gets an order for 6 rose cups and 14 lily cups. If Gina gets paid $90 total for the order, how much does she make per hour?

Policy Response

assistant:
Cups per hour with roses: 6 Cups per hour with lilies: 7 Rose Cups: 6 Lily Cups: 14 Total Cups: 6 + 14 = 20 Hours: 20 / 6 = 3.3333333333333335 Pay per Hour: 90 / 3.3333333333333335 = 27 \boxed{27}

Reward

Reward components
key value
reference_answer 30
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:
Gina can paint six cups an hour with roses and 7 cups an hour with lilies. Her Etsy store gets an order for 6 rose cups and 14 lily cups. If Gina gets paid $90 total for the order, how much does she make per hour?

Policy Response

assistant:
Roses: 6 cups per hour * 6 rose cups = 36 cups Lilies: 7 cups per hour * 14 lily cups = 98 cups Total: 36 + 98 = 134 cups Hours: 134 cups / 1 hour = 134 hours Per Hour: 90 / 134 = 0.6716 \boxed{0.6716}

Reward

Reward components
key value
reference_answer 30
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:
Gina can paint six cups an hour with roses and 7 cups an hour with lilies. Her Etsy store gets an order for 6 rose cups and 14 lily cups. If Gina gets paid $90 total for the order, how much does she make per hour?

Policy Response

assistant:
Time for rose cups: 6 hours * 6 cups = 36 cups Time for lily cups: 14 hours * 7 cups = 98 cups Total time: 36 + 98 = 134 hours Pay per hour: 90 / 134 = 0.6716 \boxed{0.6716}

Reward

Reward components
key value
reference_answer 30
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:
Gina can paint six cups an hour with roses and 7 cups an hour with lilies. Her Etsy store gets an order for 6 rose cups and 14 lily cups. If Gina gets paid $90 total for the order, how much does she make per hour?

Policy Response

assistant:
Time for rose cups = 6 cups * 1 hour = 6 cups Time for lily cups = 7 cups * 1 hour = 7 cups Total cups = 6 cups + 14 cups = 20 cups Total Hours = 6 + 7 = 13 hours Hours = 20 / 13 = 1.54 hours Pay per Hour = 90 / 1.54 = 58.44 \boxed{58.44}

Reward

Reward components
key value
reference_answer 30
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 112
ac_len 114
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 112
ac_len 87
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 112
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 3 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 112
ac_len 95
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 112
ac_len 89
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 112
ac_len 117
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 112
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 7 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 112
ac_len 105
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:
Aria has twice as many high school credits as Emily, who has twice the number of high school credits as Spencer. If Emily has 20 credits, what's twice the total number of high school credits the three have?

Policy Response

assistant:
Aria has twice as many credits as Emily: 2 * 20 = 40 credits Emily has 20 credits Spencer has 1/2 * 20 = 10 credits Total credits: 40 + 20 + 10 = 70 credits Twice the total: 2 * 70 = 140 \boxed{140}

Reward

Reward components
key value
reference_answer 140
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:
Aria has twice as many high school credits as Emily, who has twice the number of high school credits as Spencer. If Emily has 20 credits, what's twice the total number of high school credits the three have?

Policy Response

assistant:
Aria has twice as many credits as Emily: 20 * 2 = 40 credits. Spencer has half as many credits as Emily: 20 / 2 = 10 credits. Total credits: 40 + 20 + 10 = 70 credits. Twice the total: 70 * 2 = 140 credits. \boxed{140}

Reward

Reward components
key value
reference_answer 140
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:
Aria has twice as many high school credits as Emily, who has twice the number of high school credits as Spencer. If Emily has 20 credits, what's twice the total number of high school credits the three have?

Policy Response

assistant:
Aria has twice as many high school credits as Emily: 2 * 20 = 40 credits. Emily has twice the number of high school credits as Spencer: 20 / 2 = 10 credits. Total credits: 40 + 20 + 10 = 70 credits. Twice the total: 2 * 70 = 140. \boxed{140}

Reward

Reward components
key value
reference_answer 140
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:
Aria has twice as many high school credits as Emily, who has twice the number of high school credits as Spencer. If Emily has 20 credits, what's twice the total number of high school credits the three have?

Policy Response

assistant:
Aria has twice as many credits as Emily: 2 * 20 = 40 credits. Spencer has half as many credits as Emily: 20 / 2 = 10 credits. Total credits: 40 + 20 + 10 = 70 credits. Twice the total: 2 * 70 = 140 credits. \boxed{140}

Reward

Reward components
key value
reference_answer 140
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:
Aria has twice as many high school credits as Emily, who has twice the number of high school credits as Spencer. If Emily has 20 credits, what's twice the total number of high school credits the three have?

Policy Response

assistant:
Aria has 2 * 20 = 40 credits. Spencer has 20 / 2 = 10 credits. Total credits = 40 + 20 + 10 = 70 credits. Twice the total = 2 * 70 = 140. \boxed{140}

Reward

Reward components
key value
reference_answer 140
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:
Aria has twice as many high school credits as Emily, who has twice the number of high school credits as Spencer. If Emily has 20 credits, what's twice the total number of high school credits the three have?

Policy Response

assistant:
Aria has twice as many credits as Emily: 2 * 20 = 40 credits Emily has twice the credits as Spencer: 20 / 2 = 10 credits Total credits: 40 + 20 + 10 = 70 credits Twice the total: 2 * 70 = 140 credits \boxed{140}

Reward

Reward components
key value
reference_answer 140
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:
Aria has twice as many high school credits as Emily, who has twice the number of high school credits as Spencer. If Emily has 20 credits, what's twice the total number of high school credits the three have?

Policy Response

assistant:
Aria has twice as many credits as Emily: 20 * 2 = 40 credits Emly has twice as many credits as Spencer: 20 / 2 = 10 credits Total credits: 40 + 20 + 10 = 70 credits Twice the total: 70 * 2 = 140 \boxed{140}

Reward

Reward components
key value
reference_answer 140
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:
Aria has twice as many high school credits as Emily, who has twice the number of high school credits as Spencer. If Emily has 20 credits, what's twice the total number of high school credits the three have?

Policy Response

assistant:
Aria has twice as many high school credits as Emily: 2 * 20 = 40 credits Emily has twice the number of high school credits as Spencer: 20 / 2 = 10 credits Total credits: 40 + 20 + 10 = 70 credits Twice the total: 2 * 70 = 140 \boxed{140}

Reward

Reward components
key value
reference_answer 140
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 99
ac_len 94
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 1 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 99
ac_len 79
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 2 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 99
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 3 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 99
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 4 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 99
ac_len 91
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 99
ac_len 88
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 99
ac_len 94
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 7 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 99
ac_len 89
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000