RL Iteration 26

Generated 2026-06-11T16:40:17

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 a zoo, a hare is 14 inches tall, while a camel is 24 times taller than the hare. How tall is the camel in feet?

Policy Response

assistant:
11. 1. Height of Camel = Height of Hare * Multiplier = 14 inches * 24 = 336 inches. 2. Convert Inches to Feet = Inches / Inches per Foot = 336 / 12 = 28 feet. \boxed{28}

Reward

Reward components
key value
reference_answer 28
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 a zoo, a hare is 14 inches tall, while a camel is 24 times taller than the hare. How tall is the camel in feet?

Policy Response

assistant:
11. 1. Height of Camel = Height of Hare * Times Taller * Hare Height = 14 inches * Times = 24 * Camel Height = 14 inches * 24 = 336 inches 2. Convert Inches to Feet = Inches / Inches Per Foot * Inches Per Foot = 12 * Feet = 336 / 12 = 28 feet \boxed{28}

Reward

Reward components
key value
reference_answer 28
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 a zoo, a hare is 14 inches tall, while a camel is 24 times taller than the hare. How tall is the camel in feet?

Policy Response

assistant:
11. 1. Height of Camel = Height of Hare * Time Taller * Hare Height = 14 inches * Time Taller = 24 * Camel Height = 14 inches * 24 = 336 inches 2. Feet = Inches / Inches Per Foot * Inches Per Foot = 12 * Feet = 336 / 12 = 28 feet \boxed{28}

Reward

Reward components
key value
reference_answer 28
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 a zoo, a hare is 14 inches tall, while a camel is 24 times taller than the hare. How tall is the camel in feet?

Policy Response

assistant:
11. 1. Hare Height = 14 inches. 1. Camel Height = Hare Height * Multiplier = 14 inches * 24 = 336 inches. 2. Feet = Inches / Inches Per Foot = 336 / 12 = 28 feet. \boxed{28}

Reward

Reward components
key value
reference_answer 28
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 a zoo, a hare is 14 inches tall, while a camel is 24 times taller than the hare. How tall is the camel in feet?

Policy Response

assistant:
11. 1. Height of Hare = 14 inches. 1. Height of Camel = Height of Hare * Times Taller = 14 inches * 24 = 336 inches. 2. Feet = Inches / Inches per Foot = 336 / 12 = 28 feet. \boxed{28}

Reward

Reward components
key value
reference_answer 28
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 a zoo, a hare is 14 inches tall, while a camel is 24 times taller than the hare. How tall is the camel in feet?

Policy Response

assistant:
11. 1. Height of Camel = Height of Hare * Multiplier * Height = 14 inches * 24 = 336 inches. 2. Feet = Inches / Inches Per Foot * Feet = 336 / 12 = 28 feet. \boxed{28}

Reward

Reward components
key value
reference_answer 28
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 a zoo, a hare is 14 inches tall, while a camel is 24 times taller than the hare. How tall is the camel in feet?

Policy Response

assistant:
11. 1. Height of Camel = Height of Hare * Multiplier * Hare Height = 14 inches * Multiplier = 24 * Camel Height = 14 inches * 24 = 336 inches 2. Convert Inches to Feet = Inches / Inches Per Foot * Inches Per Foot = 12 * Feet = 336 / 12 = 28 Feet \boxed{28}

Reward

Reward components
key value
reference_answer 28
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 a zoo, a hare is 14 inches tall, while a camel is 24 times taller than the hare. How tall is the camel in feet?

Policy Response

assistant:
11. 1. Height of Camel = Height of Hare * Multiplier * Hare Height = 14 inches * Multiplier = 24 * Camel Height = 14 inches * 24 = 336 inches 2. Feet = Inches / Inches Per Foot * Inches Per Foot = 12 * Feet = 336 / 12 = 28 feet \boxed{28}

Reward

Reward components
key value
reference_answer 28
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 87
ac_len 73
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 87
ac_len 76
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 87
ac_len 72
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 87
ac_len 103
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 87
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 5 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 87
ac_len 105
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 87
ac_len 106
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 87
ac_len 103
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:
A small poultry farm has 300 chickens, 200 turkeys and 80 guinea fowls. A strange, incurable disease hit the farm and every day the farmer lost 20 chickens, 8 turkeys and 5 guinea fowls. After a week, how many birds will be left in the poultry?

Policy Response

assistant:
11.1. *1. Birds per Day = Chickens Lost + Turkeys Lost + Guinea Fowls Lost = 20 + 8 + 5 = 33 birds per day. 1. *Total Birds = Chickens + Turkeys + Guinea Fowls = 300 + 200 + 80 = 580 birds. 2. Days = 1 week = 7 days. 3. Total Birds Lost = Birds Per Day * Days = 33 birds/day * 7 days = 231 birds. 4. Birds Left = Total Birds - Birds Lost = 580 - 231 = 349 birds. \boxed{349}

Reward

Reward components
key value
reference_answer 349
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:
A small poultry farm has 300 chickens, 200 turkeys and 80 guinea fowls. A strange, incurable disease hit the farm and every day the farmer lost 20 chickens, 8 turkeys and 5 guinea fowls. After a week, how many birds will be left in the poultry?

Policy Response

assistant:
11.1. *1. Birds per Day Lost = Chickens Lost + Turkeys Lost + Guinea Fowls Lost = 20 + 1. *Initial Birds = Chickens + Turkeys + Guinea Fowls = 300 + 200 + 1. *Weeks = 1 week = 7 days. 1. *Total Lost = Birds Per Day * Days = (20 + 8 + 5) * 7 = 33 * 7 = 231 Birds. 1. *Chickens Left = Initial Chickens - Chickens Lost = 300 - (20 * 7) = 300 - 140 = 160. 1. *Turkeys Left = Initial Turkeys - Turkeys Lost = 200 - (8 * 7) = 200 - 56 = 144. 1. *Guinea Fowls Left = Initial - Lost = 80 - (5 * 7) = 80 - 35 = 45. 1. *Total Left = Chickens + Turkeys + Guinea Fowls = 160 + 144 + 45 = 349. \boxed{349}

Reward

Reward components
key value
reference_answer 349
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:
A small poultry farm has 300 chickens, 200 turkeys and 80 guinea fowls. A strange, incurable disease hit the farm and every day the farmer lost 20 chickens, 8 turkeys and 5 guinea fowls. After a week, how many birds will be left in the poultry?

Policy Response

assistant:
11.1. *1. Initial Birds Per Day = Chickens + Turkeys + Guinea Fowls = 300 + 200 + 80 = 580 birds. 1. Loss Per Week = (Chickens * Day) + (Turkeys * Day) + (Guinea Fowls * Day) * Chickens = 20 chickens/day * 7 days = 140 chickens. * Turkeys = 8 turkeys/day * 7 days = 56 turkeys. * Guinea Fowls = 5 guinea fowls/day * 7 days = 35 guinea fowls. 2. Remaining Birds = Initial - Loss * Chickens = 300 - 140 = 160. * Turkeys = 200 - 56 = 144. * Guinea Fowls = 80 - 35 = 45. 3. Total Left = 160 + 144 + 45 = 349. \boxed{349}

Reward

Reward components
key value
reference_answer 349
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:
A small poultry farm has 300 chickens, 200 turkeys and 80 guinea fowls. A strange, incurable disease hit the farm and every day the farmer lost 20 chickens, 8 turkeys and 5 guinea fowls. After a week, how many birds will be left in the poultry?

Policy Response

assistant:
11.1. *1. Initial Birds Per Day: * Chickens = 300 * Turkeys = 200 * Guinea Fowls = 80 2. Losses Per Day: * Chickens = 20 * Turkeys = 8 * Guinea Fowls = 5 3. Days Per Week = 7 Days 4. Total Losses = Losses Per Day * Days = * Chickens = 20 * 7 = 140 * Turkeys = 8 * 7 = 56 * Guinea Fowls = 5 * 7 = 35 5. Remaining Birds = Initial - Total Losses = * Chickens = 300 - 140 = 160 * Turkeys = 200 - 56 = 144 * Guinea Fowls = 80 - 35 = 45 6. Total Remaining = 160 + 144 + 45 = 349 \boxed{349}

Reward

Reward components
key value
reference_answer 349
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:
A small poultry farm has 300 chickens, 200 turkeys and 80 guinea fowls. A strange, incurable disease hit the farm and every day the farmer lost 20 chickens, 8 turkeys and 5 guinea fowls. After a week, how many birds will be left in the poultry?

Policy Response

assistant:
11.1. *1. Birds per Day Lost = Chickens Per Day + Turkeys Per Day + Guinea Fowls Per Day = 20 + 8 + 5 = 33 birds per day. 1. Total Days = 1 week = 7 days. 2. Chickens Lost = Chickens Per Day * Days = 20 * 1 = 20 Chickens * 7 Days = 140 Chickens. 3. Turkeys Lost = Turkeys Per Day * Days = 8 * 7 = 56 Turkeys. 4. Guinea Fowls Lost = Guinea Fowls Per Day * Days = 5 * 7 = 35 Guinea Fowls. 5. Initial Chickens = 300 - Chickens Lost = 300 - 140 = 160 Chickens. 6. Initial Turkeys = 200 - Turkeys Lost = 200 - 56 = 144 Turkeys. 7. Initial Guinea Fowls = 80 - Guinea Fowls Lost = 80 - 35 = 45 Guinea Fowls. 8. Total Birds = Chickens + Turkeys + Guinea Fowls = 160 + 144 + 45 = 349 Birds. \boxed{349}

Reward

Reward components
key value
reference_answer 349
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:
A small poultry farm has 300 chickens, 200 turkeys and 80 guinea fowls. A strange, incurable disease hit the farm and every day the farmer lost 20 chickens, 8 turkeys and 5 guinea fowls. After a week, how many birds will be left in the poultry?

Policy Response

assistant:
11.1. *1. Initial Birds = Chickens + Turkeys + Guinea Fowls = 300 + 200 + 80 = 580 Birds. *Loss Per Day = Chickens + Turkeys + Guinea Fowls = 20 + 8 + 5 = 33 Birds Per Day. 1. Days = 1 Week = 7 Days. *Total Loss = Loss Per Day * Days = 33 Birds/Day * 7 Days = 231 Birds. *Birds Left = Initial Birds - Total Loss = 580 - 231 = 349 Birds. \boxed{349}

Reward

Reward components
key value
reference_answer 349
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:
A small poultry farm has 300 chickens, 200 turkeys and 80 guinea fowls. A strange, incurable disease hit the farm and every day the farmer lost 20 chickens, 8 turkeys and 5 guinea fowls. After a week, how many birds will be left in the poultry?

Policy Response

assistant:
11.1. *1. Birds per Hum = Chickens + Turkeys + Guinea Fowls = 300 + 200 + 80 = 580 birds. 1. Loss Per Day = Chickens Lost + Turkeys Lost + Guinea Fowls Lost = 20 + 8 + 5 = 33 birds per day. 2. Days = 1 Week = 7 days. 3. Total Loss = Loss Per Day * Days = 33 birds/day * 7 days = 231 birds. 4. Birds Left = Initial Birds - Total Loss = 580 - 1. * Birds = 580 - 231 = 349 birds. \boxed{349}

Reward

Reward components
key value
reference_answer 349
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:
A small poultry farm has 300 chickens, 200 turkeys and 80 guinea fowls. A strange, incurable disease hit the farm and every day the farmer lost 20 chickens, 8 turkeys and 5 guinea fowls. After a week, how many birds will be left in the poultry?

Policy Response

assistant:
11.1. *1. Birds per Day Lost = Chickens Per Day + Turkeys Per Day + Guinea Fowls Per Day = 20 Chickens + 8 Turkeys + 5 Guinea Fowls = 33 Birds Per Day. 2. Days = 1 Week = 7 Days. 3. Total Birds Lost = Birds Per Day * Days = 33 Birds/Day * 7 Days = 231 Birds. 4. Initial Chickens = 300 Chickens - (Chickens Per Day * Days) = 300 - (20 * 7) = 300 - 140 = 160 Chickens. 5. Initial Turkeys = 200 Turkeys - (Turkeys Per Day * Days) = 200 - (8 * 7) = 200 - 56 = 144 Turkeys. 6. Initial Guinea Fowls = 80 Guinea Fowls - (Guinea Fowls Per Day * Days) = 80 - (5 * 7) = 80 - 35 = 45 Guinea Fowls. 7. Total Birds Left = Chickens + Turkeys + Guinea Fowls = 160 + 144 + 45 = 349 Birds. \boxed{349}

Reward

Reward components
key value
reference_answer 349
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 127
ac_len 243
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 127
ac_len 170
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 127
ac_len 285
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 127
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 4 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 127
ac_len 306
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 127
ac_len 303
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 127
ac_len 160
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 127
ac_len 253
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:
Mark is filling a punch bowl that can hold 16 gallons of punch. He fills it part way, then his cousin comes along and drinks half the punch in the bowl. Mark starts to refill the bowl and adds 4 more gallons, but then his friend Sally comes in and drinks 2 more gallons of punch. After that, Mark has to add 12 gallons of punch to completely fill the bowl. How much punch did Mark initially add to the bowl?

Policy Response

assistant:
11.1. Capacity = 16 gallons. 1. Punch Drunk by Cousin = 1/2 * Punch After Cousin = 1/2 * (Punch Initial + Refill 1 - Drink 1). * Let X = Punch Initial. * After Cousin = X + 4 - 2 = X + 2. * Bowl Full = (X + 2) + 12 = 16. X + 14 = 16 X = 16 - 14 X = 2. \boxed{Gallons = Punch Initial + Refill 1 - Drink 1} 1. Initial Punch + Refill 1 - Cousin Drink = Punch After Cousin Punch After Cousin = X + 4 - 2 = X + 2 Bowl Full = Punch After Cousin + Refill 2 16 = X + 2 + 12 16 = X + 14 X = 2 \boxed{2 gallons}

Reward

Reward components
key value
reference_answer 4
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:
Mark is filling a punch bowl that can hold 16 gallons of punch. He fills it part way, then his cousin comes along and drinks half the punch in the bowl. Mark starts to refill the bowl and adds 4 more gallons, but then his friend Sally comes in and drinks 2 more gallons of punch. After that, Mark has to add 12 gallons of punch to completely fill the bowl. How much punch did Mark initially add to the bowl?

Policy Response

assistant:
11.1.1. *1. Capacity = 16 Gallons. 1. Punch After Cousin = Initial - (Cousin * 1/2) 2. After Refill 1 = Punch After Cousin + Refill 1 = Initial - (Cousin * 1/2) + 4 3. Punch After Sally = Punch After Refill 1 - Sally = Initial - (Cousin * 1/2) + 4 - 2 4. Final Fill = Punch After Sally + Refill 2 = Initial - (Cousin * 1/2) + 4 - 2 + 12 = 16 * Cousin = 0.5 * Initial * 16 = Initial - 0.5 * Initial + 4 - 2 + 12 * 16 = 0.5 * Initial + 14 * 2 = 0.5 * Initial * Initial = 4 Gallons \boxed{4}

Reward

Reward components
key value
reference_answer 4
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:
Mark is filling a punch bowl that can hold 16 gallons of punch. He fills it part way, then his cousin comes along and drinks half the punch in the bowl. Mark starts to refill the bowl and adds 4 more gallons, but then his friend Sally comes in and drinks 2 more gallons of punch. After that, Mark has to add 12 gallons of punch to completely fill the bowl. How much punch did Mark initially add to the bowl?

Policy Response

assistant:
11.1.1. Total Capacity = 16 gallons. 1. Punch Drunk by Cousin = 1/2 * Punch Initially Added = X / 2. 2. Punch After Cousin = X - X/2 = X/2. 3. Gallons Added by Mark = 4 gallons. 4. Punch After Sally = Punch After Cousin + Gallons Added = X/2 + 4. 5. Punch After Sally = (X/2 + 4) - 2 Gallons. 6. Final Volume = (X/2 + 4 - 2) = 16 - 12 Gallons = 4 Gallons. 7. X/2 + 2 = 4 X/2 = 2 X = 4 Gallons. \boxed{4}

Reward

Reward components
key value
reference_answer 4
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:
Mark is filling a punch bowl that can hold 16 gallons of punch. He fills it part way, then his cousin comes along and drinks half the punch in the bowl. Mark starts to refill the bowl and adds 4 more gallons, but then his friend Sally comes in and drinks 2 more gallons of punch. After that, Mark has to add 12 gallons of punch to completely fill the bowl. How much punch did Mark initially add to the bowl?

Policy Response

assistant:
11.1. *1. Bowl Capacity = 16 Gallons. 1. *Punch After Cousin Dranks = Initial Punch - Punch Drank By Cousin. *Punch Drank By Cousin = 1/2 * Initial Punch. 2. *Punch After Refill 1 = (Punch After Cousin) + Refill 1 = (Initial Punch - 0.5 * Initial Punch) + 4 Gallons. 3. *Punch After Sally Dranks = Punch After Refill 1 - Punch Drank By Sally = (0.5 * Initial Punch + 4) - 2 Gallons. 4. *Gallons Needed = Bowl Capacity - Punch After Sally Dranks = 16 - (0.5 * Initial Punch + 4 - 2) = 12 Gallons. 5. 12 = 16 - 0.5 * Initial Punch. 0.5 * Initial Punch = 16 - 12 = 4. Initial Punch = 4 / 0.5 = 8 Gallons. \boxed{8}

Reward

Reward components
key value
reference_answer 4
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:
Mark is filling a punch bowl that can hold 16 gallons of punch. He fills it part way, then his cousin comes along and drinks half the punch in the bowl. Mark starts to refill the bowl and adds 4 more gallons, but then his friend Sally comes in and drinks 2 more gallons of punch. After that, Mark has to add 12 gallons of punch to completely fill the bowl. How much punch did Mark initially add to the bowl?

Policy Response

assistant:
11.1. *1. Capacity = 16 gallons. 1. Punch After Cousin = (Punch Added Initial) - (Punch Cousin) = Punch Added Initial - 0.5 * Punch Added Initial. 2. After Refill 1 = Punch After Cousin + Refill 1 = Punch Added Initial - 0.5 * Punch Added Initial + 4 Gallons. 3. After Sally = After Refill 1 - Punch Sally = Punch Added Initial - 0.5 * Punch Added Initial + 4 - 2. 4. Remaining = After Sally + Refill 2 = Punch Added Initial - 0.5 * Punch Added Initial + 4 - 2 + 12. 5. 16 = 0.5 * Punch Added Initial + 14. 6. 0.5 * Punch Added Initial = 16 - 14 = 2. 7. Punch Added Initial = 2 / 0.5 = 4 Gallons. \boxed{4}

Reward

Reward components
key value
reference_answer 4
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:
Mark is filling a punch bowl that can hold 16 gallons of punch. He fills it part way, then his cousin comes along and drinks half the punch in the bowl. Mark starts to refill the bowl and adds 4 more gallons, but then his friend Sally comes in and drinks 2 more gallons of punch. After that, Mark has to add 12 gallons of punch to completely fill the bowl. How much punch did Mark initially add to the bowl?

Policy Response

assistant:
11.1. Capacity = 16 Gallons. 1. Punch After Cousin Drinks = (Punch Initial) - (Punch Cousin Drank) * Punch Cousin Drank = 1/2 * Punch Initial. 2. Punch After Refill 1 = Punch After Cousin - Add 1 = Punch Initial - 0.5 * Punch Initial + 4 3. Punch After Sally Drinks = Punch After Refill 1 - Punch Sally Drank = Punch Initial - 0.5 * Punch Initial + 4 - 2 4. Punch Needed = Capacity - Punch After Sally Drinks 12 = 16 - (0.5 * Punch Initial + 4 - 2) 5. 0.5 * Punch Initial = 12 - 16 + 4 - 2 0.5 * Punch Initial = 16 - 12 + 4 - 2 0.5 * Punch Initial = 6 Punch Initial = 12 \boxed12}

Reward

Reward components
key value
reference_answer 4
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:
Mark is filling a punch bowl that can hold 16 gallons of punch. He fills it part way, then his cousin comes along and drinks half the punch in the bowl. Mark starts to refill the bowl and adds 4 more gallons, but then his friend Sally comes in and drinks 2 more gallons of punch. After that, Mark has to add 12 gallons of punch to completely fill the bowl. How much punch did Mark initially add to the bowl?

Policy Response

assistant:
11.1. Capacity = 16 Gallons. 1. *Punch Initial = Initial Added + Drink 1 + Refill 1 + Refill 2 + Refill 3.* 1. *Refill 1 = Initial Added - Drink 1.* *Drink 1 = 1/2 * Punch in Bowl After Drink 1 = 1/2 * (Initial Added + Drink 1) = 1/2 * (Initial Added + 1/2 * Initial Added) = 3/4 * Initial Added.* *Bowl After Drink 1 = 1/2 * (Initial Added + 1/2 * Initial Added) = 3/4 * Initial Added.* 2. *Bowl After Refill 1 = Bowl After Drink 1 + Refill 1 = 3/4 * Initial Added + 4 Gallons.* 3. *Bowl After Drink 2 = Bowl After Refill 1 - Drink 2 = 3/4 * Initial Added + 4 - 2 = 3/4 * Initial Added + 2.* 4. *Bowl After Refill 2 = Bowl After Drink 2 + Refill 2 = 3/4 * Initial Added + 2 + 12 = 3/4 * Initial Added + 14.* 5. *Target = Target Capacity = 16 Gallons.* 6. 16 = 3/4 * Initial Added + 1

Reward

Reward components
key value
reference_answer 4
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:
Mark is filling a punch bowl that can hold 16 gallons of punch. He fills it part way, then his cousin comes along and drinks half the punch in the bowl. Mark starts to refill the bowl and adds 4 more gallons, but then his friend Sally comes in and drinks 2 more gallons of punch. After that, Mark has to add 12 gallons of punch to completely fill the bowl. How much punch did Mark initially add to the bowl?

Policy Response

assistant:
11.1. *1. Capacity = 16 gallons. 1. Punch Drunk by Cousin = 1/2 * Punch in Bowl After Initial Fill = 0.5 * X. 1. Refill 1 = Initial Punch - Punch Left After Cousin - Punch Refilled = X - 0.5X - 4 = Punch Left After Sally. 1. Punch Left = X - 0.5X - 4 = 0.5X - 4. 1. Refill 2 = Punch Left - Punch Added = 0.5X - 4 - 2 = 12. 0.5X - 6 = 12 0.5X = 18 X = 36. 1. Punch Initially = 36 gallons. 1. Cousin Drank = 0.5 * 36 = 18 gallons. 1. Punch After Cousin = 36 - 18 = 18 gallons. 1. Refill 1 = 4 gallons. 1. Punch After Sally = 18 - 4 - 2 = 12 gallons. 1. Final Refill = 16 - 12 = 4 gallons. 4 = 0.5X - 4 - 2 4 = 0.5X - 6 10 = 0.5X X = 20. \boxed{20}

Reward

Reward components
key value
reference_answer 4
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 148
ac_len 230
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 148
ac_len 233
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 148
ac_len 247
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 148
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 148
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 148
ac_len 227
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 148
ac_len 224
step_reward 1.000
Step Metrics
Metrics emitted by env.step
key value
format 1.000
correct 1.000
Episode totals
key value
num_turns 1
final_ob_len 0
sum_step_rewards 1.000
final_group_reward 0.000
total_return 1.000

Trajectory 7 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 148
ac_len 183
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:
A boat carrying 20 sheep, 10 cows and 14 dogs capsized. 3 of the sheep drowned. Twice as many cows drowned as did sheep. All of the dogs made it to shore. How many total animals made it to the shore?

Policy Response

assistant:
11.1. *1. Sheep Drowned = Sheep Original - Sheep Drowned = 20 Sheep - 3 Sheep = 17 Sheep. 2. Cows Drowned = Sheep Drowned * 2 = 3 Sheep * 2 = 6 Cows. 3. Cows Survived = Cows Original - Cows Drowned = 10 Cows - 6 Cows = 4 Cows. 4. Dogs Survived = Dogs Original = 14 Dogs. 5. Total Animals = Sheep Survived + Cows Survived + Dogs Survived = 17 Sheep + 4 Cows + 14 Dogs = 35 Animals. \boxed{35}

Reward

Reward components
key value
reference_answer 35
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:
A boat carrying 20 sheep, 10 cows and 14 dogs capsized. 3 of the sheep drowned. Twice as many cows drowned as did sheep. All of the dogs made it to shore. How many total animals made it to the shore?

Policy Response

assistant:
11.1. *1. Sheep Drowned = Sheep Initially - Sheep Saved = 20 Sheep - 3 Sheep = 17 Sheep. 2. Cows Drowned = Sheep Drowned * 2 = 3 Sheep * 2 = 6 Cows. 3. Cows Saved = Cows Initially - Cows Drowned = 10 Cows - 6 Cows = 4 Cows. 4. Dogs Saved = All Dogs = 14 Dogs. 5. Total Animals = Sheep Saved + Cows Saved + Dogs Saved = 17 Sheep + 4 Cows + 14 Dogs = 35 Animals. \boxed{35}

Reward

Reward components
key value
reference_answer 35
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:
A boat carrying 20 sheep, 10 cows and 14 dogs capsized. 3 of the sheep drowned. Twice as many cows drowned as did sheep. All of the dogs made it to shore. How many total animals made it to the shore?

Policy Response

assistant:
11.1. *1. Sheep Drowned = Sheeep Total - Sheep Drowned = 20 - 1. 2. Cows Drowned = Sheep Drowned * 2 = 3 * 2 = 6. 3. Cows Saved = Cows Total - Cows Drowned = 10 - 6 = 4. 4. Dogs Saved = Dogs Total = 14. 5. Total Animals Shore = Sheep Saved + Cows Saved + Dogs Saved = (20 - 3) + 4 + 14 = 17 + 4 + 14 = 35. \boxed{35}

Reward

Reward components
key value
reference_answer 35
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:
A boat carrying 20 sheep, 10 cows and 14 dogs capsized. 3 of the sheep drowned. Twice as many cows drowned as did sheep. All of the dogs made it to shore. How many total animals made it to the shore?

Policy Response

assistant:
11.1. *1. Sheep = Total Sheep - Drowned Sheep = 20 Sheep - 3 Sheep = 17 Sheep. 2. Cows Drowned = Sheep Drowned * 2 = 3 Sheep * 2 = 6 Cows. 3. Cows Survived = Total Cows - Cows Drowned = 10 Cows - 6 Cows = 4 Cows. 4. Dogs = Total Dogs - Drowned Dogs = 14 Dogs - 0 Dogs = 14 Dogs. 5. Total Survived = Sheep Survived + Cows Survived + Dogs Survived = 17 Sheep + 4 Cows + 14 Dogs = 35 Animals. \boxed{35}

Reward

Reward components
key value
reference_answer 35
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:
A boat carrying 20 sheep, 10 cows and 14 dogs capsized. 3 of the sheep drowned. Twice as many cows drowned as did sheep. All of the dogs made it to shore. How many total animals made it to the shore?

Policy Response

assistant:
11.1. *1. Sheep Drowned = Sheep Initial - Sheep Survived = 20 Sheep - 3 Sheep = 17 Sheep. 2. Cows Drowned = Sheep Drowned * 2 = 3 Sheep * 2 = 6 Cows. 3. Cows Survived = Cows Initial - Cows Drowned = 10 Cows - 6 Cows = 4 Cows. 4. Dogs Survived = Dogs Initial = 14 Dogs. 5. Total Survived = Sheep Survived + Cows Survived + Dogs Survived = 3 Sheep + 4 Cows + 14 Dogs = 21 Animals. \boxed{21}

Reward

Reward components
key value
reference_answer 35
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:
A boat carrying 20 sheep, 10 cows and 14 dogs capsized. 3 of the sheep drowned. Twice as many cows drowned as did sheep. All of the dogs made it to shore. How many total animals made it to the shore?

Policy Response

assistant:
11.1. *1. Sheep Drowned = Sheep Initial - Sheep Saved = 20 Sheep - 3 Sheep = 17 Sheep Drowned. 2. Cows Drowned = Sheep Drowned * 2 = 17 Sheep Drowned * 2 = 34 Cows Drowned. 3. Cows Saved = Cows Initial - Cows Drowned = 10 Cows - 34 Cows Drowned = Negative? *Sheep Drowned = 3 Sheep. Cows Drowned = 3 Sheep * 2 = 6 Cows. Cows Saved = Total Cows - Cows Drowned = 10 Cows - 6 Cows = 4 Cows. Dogs Saved = All Dogs = 14 Dogs. Total Animals = Sheep Saved + Cows Saved + Dogs Saved = 0 Sheep Saved + 4 Cows + 14 Dogs = 18 Animals. \boxed{18}

Reward

Reward components
key value
reference_answer 35
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:
A boat carrying 20 sheep, 10 cows and 14 dogs capsized. 3 of the sheep drowned. Twice as many cows drowned as did sheep. All of the dogs made it to shore. How many total animals made it to the shore?

Policy Response

assistant:
11.1. *1. Animals Drowned = * Sheep Drowned = Sheep Drowned * Sheep Total = 3 Sheep * Sheep Drowned = 3 Sheep. * Cows Drowned = Sheep Drowned * 2 = 3 Shee * 2 = 6 Cows. * Dogs Drowned = Dogs Total - Dogs Saved = 14 Dogs - 14 Dogs = 0 Dogs. 2. Animals Saved = * Sheep Saved = Sheep Total - Sheep Drowned = 20 Sheep - 3 Sheep = 17 Sheep. * Cows Saved = Cows Total - Cows Drowned = 10 Cows - 6 Cows = 4 Cows. * Dogs Saved = Dogs Total - Dogs Drowned = 14 Dogs - 0 Dogs = 14 Dogs. 3. Total Saved = Sheep Saved + Cows Saved + Dogs Saved = 17 + 4 + 14 = 35 Animals. \boxed{35}

Reward

Reward components
key value
reference_answer 35
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:
A boat carrying 20 sheep, 10 cows and 14 dogs capsized. 3 of the sheep drowned. Twice as many cows drowned as did sheep. All of the dogs made it to shore. How many total animals made it to the shore?

Policy Response

assistant:
11.1. Sheep Drowned = Sheep Drowned = Sheep Total - Sheep Sheeps = 3 Sheep. Cows Drowned = Sheep Drowned * 2 = 3 * 2 = 6 Cows. 1. * Sheep Total = 20 Sheep. * Dogs Total = 14 Dogs. 1. Sheep Made Shore = Sheep Total - Sheep Drowned = 20 - 3 = 17 Sheep. 1. Cows Made Shore = Cows Total - Cows Drowned = 10 Cows - 6 Cows = 4 Cows. 1. Dogs Made Shore = Dogs Total - Dogs Drowned = 14 Dogs - 0 Dogs = 14 Dogs. Total Animals = Sheep Made Shore + Cows Made Shore + Dogs Made Shore = 17 + 4 + 14 = 35 Animals. \boxed{35}

Reward

Reward components
key value
reference_answer 35
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 112
ac_len 213
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 146
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 112
ac_len 155
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 112
ac_len 198
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 112
ac_len 155
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 112
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 6 Episode

Episode Details
Turn 1
Step stats
key value
ob_len 112
ac_len 165
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 112
ac_len 149
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