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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | === Call 1 | root ===
<action>
DECOMPOSE
</action>
<parallel>
<path>
Given that walking at speed $s$ takes 4 hours total (including $t$ minutes in coffee), and the distance is 9 km, calculate the time spent walking in minutes. Let $T_1 = 4$ hours total. Convert this to minutes: $4 \times 60 = 240$ minutes. The walking ... | GRPO-BINARY | forced_decomposition | DECOMPOSE | 204 | 180 | false | true | false | aime24 | aime24_00000 | original | 0 | 0 | original/aime24/binary-mean-center/decompose/aime24_00000/0 | null | null | binary-mean-center | 100 | 7d5ffe3cf730f06f89cca32182896ef1570977bae7795fac5df4680d349985ab | 0.5 | 1 | 0 | 16 | 20,261,015 | 20,281,015 | 0 | 180 | <action>
AGGREGATE
From path 1, we have $s = 540 / (240 - t)$.
From path 2, we have $s + 2 = 540 / (144 - t)$.
Substitute $s$ from the first result into the second result:
$540 / (240 - t) + 2 = 540 / (144 - t)$.
Multiply through by $(240 - t)(144 - t)$ to clear denominators:
$540(144 - t) + 2(240 - t)(144 - t) = 540(2... | [
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"problem": "Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffe... | 3df9f06bfd5c92455b776d403fab08bb3cff8aedda5f2339d76273dd88237eef | 4 | 1,236 | false | completed | [] | {"correct":false,"grader_revision":"explicit-answer-timeout-safe-v3-parse-review","method":"math_verify","resolved":true,"transport_retries":0} | {"correct":false,"grader_revision":"explicit-answer-timeout-safe-v3-parse-review","method":"math_verify","resolved":true,"transport_retries":0} | null | math_verify | null | outputs/tunix_root_ablation/20261014-audited-v3/collected/official-binary-mean-center-decompose-shard0/aime24/decompose/rollouts.jsonl | 1 | 619f47bd4372e63cea1d4135beab80a8beab40809853c4ef75b54fc2f1a52ca3 | 75768bda490c718a7fab9318d34e8c8493115427dc957239110d988bd8d128bf | math-ai/aime24 | 83a7f387baaa524a8bda0022eac0541582297103 | 60 |
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | === Call 1 | root ===
<action>
DECOMPOSE
</action>
<parallel>
<path>
Let $s$ be the walking speed in km/h and $t$ be the time spent in the coffee shop in minutes. When walking at $s$ km/h, the total time is 4 hours (240 minutes). The equation is $9/s + t/60 = 240$. When walking at $s+2$ km/h, the total time is 2 hours... | GRPO-BINARY | forced_decomposition | DECOMPOSE | 204 | 249 | false | true | false | aime24 | aime24_00000 | original | 0 | 1 | original/aime24/binary-mean-center/decompose/aime24_00000/1 | null | null | binary-mean-center | 100 | 7d5ffe3cf730f06f89cca32182896ef1570977bae7795fac5df4680d349985ab | 0.5 | 1 | 0 | 16 | 20,261,015 | 20,281,015 | 0 | 249 | <action>
AGGREGATE
From the first path, we determined the system of equations:
1) $9/s + t/60 = 240$
2) $9/(s+2) + t/60 = 144$
Solving this system, we found $s = 0.25$ km/h and $t = 14220$ minutes.
From the second path, we determined the formula for the total time at speed $s + 0.5$ km/h:
$9/(s + 0.5) + t/60$
Substitut... | [
{
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"problem": "Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffe... | 30718a00a08356175add2705c4e753265fd8d539e11aa17695137117ada96fd9 | 4 | 1,272 | false | completed | [] | {"correct":false,"grader_revision":"explicit-answer-timeout-safe-v3-parse-review","method":"math_verify","resolved":true,"transport_retries":0} | {"correct":false,"grader_revision":"explicit-answer-timeout-safe-v3-parse-review","method":"math_verify","resolved":true,"transport_retries":0} | null | math_verify | null | outputs/tunix_root_ablation/20261014-audited-v3/collected/official-binary-mean-center-decompose-shard0/aime24/decompose/rollouts.jsonl | 2 | 619f47bd4372e63cea1d4135beab80a8beab40809853c4ef75b54fc2f1a52ca3 | 282671e8085f8530b4021ea31e5cc3e461e317341175a6b6d01b269f1587731c | math-ai/aime24 | 83a7f387baaa524a8bda0022eac0541582297103 | 60 |
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | === Call 1 | root ===
<action>
DECOMPOSE
</action>
<parallel>
<path>
Aya walks a 9-kilometer distance. When she walks at a constant speed of $s$ km/h, the total time (walking + coffee shop) is 4 hours. The walking time is $9/s$ hours. Given the total time is 4 hours and the coffee shop time is $t$ minutes, convert the... | GRPO-BINARY | forced_decomposition | DECOMPOSE | 204 | 196.3636...(or1964/11)minutes | false | true | false | aime24 | aime24_00000 | original | 0 | 2 | original/aime24/binary-mean-center/decompose/aime24_00000/2 | null | null | binary-mean-center | 100 | 7d5ffe3cf730f06f89cca32182896ef1570977bae7795fac5df4680d349985ab | 0.5 | 1 | 0 | 16 | 20,261,015 | 20,281,015 | 0 | 196.3636... (or 196 4/11) minutes. | <action>
AGGREGATE
From the first path, we found that $s = 2.25$ km/h.
From the second path, we found that $s = 1.75$ km/h.
There is an inconsistency. The problem states that the coffee shop time $t$ is the same in both scenarios, but the derived speeds $s$ are different. This suggests an error in the interpretation of... | [
{
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"problem": "Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffe... | 80c204cd63d54f7494d19f7d7aedd2a1e84cea19234698092eef71bb583eebd3 | 4 | 957 | false | completed | [] | {"correct":false,"gold_parsed":true,"grader_revision":"explicit-answer-timeout-safe-v3-parse-review","method":"unparsed","prediction_parsed":false,"resolved":false,"transport_retries":0} | {"adjudication_key":"108fb4711de50ba2d39534eba18bf1afd693395657762bead749560cfd9aa58c","correct":false,"grader_revision":"explicit-answer-timeout-safe-v3-parse-review","method":"adjudicated","resolved":true} | {"automated_check":{"correct":false,"gold_parsed":true,"method":"unparsed","prediction_parsed":false,"resolved":false},"correct":false,"gold":"204","method":"codex_review","normalized_prediction":"196.3636... (or 196 4/11) minutes.","pair_index":162,"prediction":"196.3636... (or 196 4/11) minutes.","rationale":"196.363... | adjudicated | Codex | outputs/tunix_root_ablation/20261014-audited-v3/collected/official-binary-mean-center-decompose-shard0/aime24/decompose/rollouts.jsonl | 3 | 619f47bd4372e63cea1d4135beab80a8beab40809853c4ef75b54fc2f1a52ca3 | 5be4d6361b0cf365b54a64c538e4c2e42e5869e67ce8e5ccc88fdb25cfd36d58 | math-ai/aime24 | 83a7f387baaa524a8bda0022eac0541582297103 | 60 |
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | === Call 1 | root ===
<action>
DECOMPOSE
</action>
<parallel>
<path>
Let $s$ be the walking speed in km/h and $t$ be the time spent in the coffee shop in minutes. When Aya walks at $s$ km/h, the total time taken is 4 hours (240 minutes). The walking time is 240 - $t$ minutes. The distance is 9 km. Set up the equation:... | GRPO-BINARY | forced_decomposition | DECOMPOSE | 204 | 204 | true | true | true | aime24 | aime24_00000 | original | 0 | 3 | original/aime24/binary-mean-center/decompose/aime24_00000/3 | null | null | binary-mean-center | 100 | 7d5ffe3cf730f06f89cca32182896ef1570977bae7795fac5df4680d349985ab | 0.5 | 1 | 0 | 16 | 20,261,015 | 20,281,015 | 0 | 204 | <action>
AGGREGATE
We have two expressions for $s$:
1) $s = \frac{540}{240 - t}$
2) $s = \frac{252 + 2t}{144 - t}$
Set them equal: $\frac{540}{240 - t} = \frac{252 + 2t}{144 - t}$
Cross-multiply:
$540(144 - t) = (252 + 2t)(240 - t)$
Expand both sides:
$77760 - 540t = 60480 - 252t + 480t - 2t^2$
$77760 - 540t = 60480... | [
{
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"problem": "Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffe... | 82d16818d644b7851b1b00cba81ba462257cfa97234a25b439e8ebfc36a30b38 | 4 | 1,330 | false | completed | [] | {"correct":true,"grader_revision":"explicit-answer-timeout-safe-v3-parse-review","method":"exact","resolved":true,"transport_retries":0} | {"correct":true,"grader_revision":"explicit-answer-timeout-safe-v3-parse-review","method":"exact","resolved":true,"transport_retries":0} | null | exact | null | outputs/tunix_root_ablation/20261014-audited-v3/collected/official-binary-mean-center-decompose-shard0/aime24/decompose/rollouts.jsonl | 4 | 619f47bd4372e63cea1d4135beab80a8beab40809853c4ef75b54fc2f1a52ca3 | b336b2ddf098aa3c0097e58a21bf81687ea65730f1bdec95c65288134a48e1c3 | math-ai/aime24 | 83a7f387baaa524a8bda0022eac0541582297103 | 60 |
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | === Call 1 | root ===
<action>
DECOMPOSE
</action>
<parallel>
<path>
Aya walks 9 kilometers. Let $s$ be her speed in km/h. The time taken for the walk is 4 hours minus $t$ minutes. Express the time for the walk in hours as an equation: $\frac{9}{s} = 4 - \frac{t}{60}$. Solve for $t$ in terms of $s$.
</path>
<path>
Aya... | GRPO-BINARY | forced_decomposition | DECOMPOSE | 204 | 324 | false | true | false | aime24 | aime24_00000 | original | 0 | 4 | original/aime24/binary-mean-center/decompose/aime24_00000/4 | null | null | binary-mean-center | 100 | 7d5ffe3cf730f06f89cca32182896ef1570977bae7795fac5df4680d349985ab | 0.5 | 1 | 0 | 16 | 20,261,015 | 20,281,015 | 0 | 324 | <action>
AGGREGATE
We have two expressions for $t$:
1) $t = 240 - \frac{540}{s}$
2) $t = 144 - \frac{540}{s+2}$
Equating the two:
$240 - \frac{540}{s} = 144 - \frac{540}{s+2}$
$96 = \frac{540}{s} - \frac{540}{s+2}$
$96 = 540(\frac{1}{s} - \frac{1}{s+2})$
$96 = 540(\frac{s+2 - s}{s(s+2)})$
$96 = 540(\frac{2}{s^2 + 2s})... | [
{
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"problem": "Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffe... | 2156bd12d59e5d761043f493084d1055e72d77e727c75e198904a1a120f212c8 | 4 | 974 | false | completed | [] | {"correct":false,"grader_revision":"explicit-answer-timeout-safe-v3-parse-review","method":"math_verify","resolved":true,"transport_retries":0} | {"correct":false,"grader_revision":"explicit-answer-timeout-safe-v3-parse-review","method":"math_verify","resolved":true,"transport_retries":0} | null | math_verify | null | outputs/tunix_root_ablation/20261014-audited-v3/collected/official-binary-mean-center-decompose-shard0/aime24/decompose/rollouts.jsonl | 5 | 619f47bd4372e63cea1d4135beab80a8beab40809853c4ef75b54fc2f1a52ca3 | 02f7adc07762b87daa7a7a40aada05fd73273c8dcd747276f87d89ba3a0fcb9e | math-ai/aime24 | 83a7f387baaa524a8bda0022eac0541582297103 | 60 |
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | === Call 1 | root ===
<action>
DECOMPOSE
</action>
<parallel>
<path>
Calculate the time spent walking (excluding the coffee shop) for the first scenario. Given: total time = 4 hours, speed = $s$ km/h, distance = 9 km. Let $t$ be the time spent in the coffee shop in minutes. Calculate the walking time in minutes.
</pat... | GRPO-BINARY | forced_decomposition | DECOMPOSE | 204 | 666 | false | true | false | aime24 | aime24_00000 | original | 0 | 5 | original/aime24/binary-mean-center/decompose/aime24_00000/5 | null | null | binary-mean-center | 100 | 7d5ffe3cf730f06f89cca32182896ef1570977bae7795fac5df4680d349985ab | 0.5 | 1 | 0 | 16 | 20,261,015 | 20,281,015 | 0 | 666 | <action>
AGGREGATE
From the first path, the walking time is $240 - t$ minutes.
From the second path, the walking time is $\frac{144(s+2) - 540}{s+2}$ minutes.
Set them equal: $240 - t = \frac{144s + 288 - 540}{s+2}$.
Simplify the right side: $240 - t = \frac{144s - 252}{s+2}$.
Multiply by $(s+2)$: $(240 - t)(s + 2) = 1... | [
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"problem": "Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffe... | f7cdb16bf392ed325320f3cdcd4e88a94ad17bd01f247e6ea9651e01519299b8 | 4 | 865 | false | completed | [] | {"correct":false,"grader_revision":"explicit-answer-timeout-safe-v3-parse-review","method":"math_verify","resolved":true,"transport_retries":0} | {"correct":false,"grader_revision":"explicit-answer-timeout-safe-v3-parse-review","method":"math_verify","resolved":true,"transport_retries":0} | null | math_verify | null | outputs/tunix_root_ablation/20261014-audited-v3/collected/official-binary-mean-center-decompose-shard0/aime24/decompose/rollouts.jsonl | 6 | 619f47bd4372e63cea1d4135beab80a8beab40809853c4ef75b54fc2f1a52ca3 | b79d8d968700f4a0bc98403138cde4d9ff115d12d899a9f4d497f2c786849ad5 | math-ai/aime24 | 83a7f387baaa524a8bda0022eac0541582297103 | 60 |
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | === Call 1 | root ===
<action>
DECOMPOSE
</action>
<parallel>
<path>
Let $d$ be the walking distance in kilometers, $s$ be the walking speed in km/h, and $t$ be the time spent at the coffee shop in minutes. Given $d = 9$ km, the first scenario is $d = s \times (4 \text{ hours} - t/60 \text{ hours})$. Calculate $s$.
</... | GRPO-BINARY | forced_decomposition | DECOMPOSE | 204 | 196.6 | false | true | false | aime24 | aime24_00000 | original | 0 | 6 | original/aime24/binary-mean-center/decompose/aime24_00000/6 | null | null | binary-mean-center | 100 | 7d5ffe3cf730f06f89cca32182896ef1570977bae7795fac5df4680d349985ab | 0.5 | 1 | 0 | 16 | 20,261,015 | 20,281,015 | 0 | 196.6 | <action>
AGGREGATE
Using $t=1$ from the second path in the formula $s = 540 / (240 - t)$ from the first path:
$s = 540 / (240 - 1) = 540 / 239$.
The new speed is $s + 0.5 = 540/239 + 1/2 = 540/239 + 119.5/239 = 659.5/239$.
The time for the walk is $9 / (659.5/239) = 9 \times 239 / 659.5 = 2151 / 659.5$.
Since $659.5 = ... | [
{
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"problem": "Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffe... | eb592835dbcc619a00ecb648f24c4cf1bb4736b9e1d3bda9de0446d95d6f0bf5 | 4 | 999 | false | completed | [] | {"correct":false,"grader_revision":"explicit-answer-timeout-safe-v3-parse-review","method":"math_verify","resolved":true,"transport_retries":0} | {"correct":false,"grader_revision":"explicit-answer-timeout-safe-v3-parse-review","method":"math_verify","resolved":true,"transport_retries":0} | null | math_verify | null | outputs/tunix_root_ablation/20261014-audited-v3/collected/official-binary-mean-center-decompose-shard0/aime24/decompose/rollouts.jsonl | 7 | 619f47bd4372e63cea1d4135beab80a8beab40809853c4ef75b54fc2f1a52ca3 | b8788339a27225ffe2a85ca93e99ee7c9e54418396b83aa5d9af576ce90662c9 | math-ai/aime24 | 83a7f387baaa524a8bda0022eac0541582297103 | 60 |
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | === Call 1 | root ===
<action>
DECOMPOSE
</action>
<parallel>
<path>
Aya walks 9 kilometers at a constant speed $s$ kilometers per hour. The total time taken, including $t$ minutes in the coffee shop, is 4 hours. Express the time spent walking in terms of $s$ and $t$.
</path>
<path>
Aya walks 9 kilometers at a constant... | GRPO-BINARY | forced_decomposition | DECOMPOSE | 204 | 201 | false | true | false | aime24 | aime24_00000 | original | 0 | 7 | original/aime24/binary-mean-center/decompose/aime24_00000/7 | null | null | binary-mean-center | 100 | 7d5ffe3cf730f06f89cca32182896ef1570977bae7795fac5df4680d349985ab | 0.5 | 1 | 0 | 16 | 20,261,015 | 20,281,015 | 0 | 201 | <action>
AGGREGATE
From the first path, the time spent walking at speed $s$ is $\frac{240 - t}{60}$ hours.
From the second path, the time spent walking at speed $s+2$ is $2.4 - \frac{t}{60}$ hours.
The distance walked is 9 km in both cases, so:
$s = \frac{9}{\frac{240 - t}{60}} = \frac{9 \times 60}{240 - t} = \frac{540... | [
{
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"depth": 0,
"role": "root",
"problem": "Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffe... | 63aa5c7f4e4af10ad4341dfdb62570ad287d773e46ef4fcbdbfdbe6c68110a26 | 4 | 2,049 | false | completed | [] | {"correct":false,"grader_revision":"explicit-answer-timeout-safe-v3-parse-review","method":"math_verify","resolved":true,"transport_retries":0} | {"correct":false,"grader_revision":"explicit-answer-timeout-safe-v3-parse-review","method":"math_verify","resolved":true,"transport_retries":0} | null | math_verify | null | outputs/tunix_root_ablation/20261014-audited-v3/collected/official-binary-mean-center-decompose-shard0/aime24/decompose/rollouts.jsonl | 8 | 619f47bd4372e63cea1d4135beab80a8beab40809853c4ef75b54fc2f1a52ca3 | 100749539f7ae7ee99f7c90df0685d24e8119b7f2eb899c546032815a59daba2 | math-ai/aime24 | 83a7f387baaa524a8bda0022eac0541582297103 | 60 |
Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffee shop. When she walks $s+2$ kilometers per hour, the walk takes her 2 hours and 24 minutes, incl... | === Call 1 | root ===
<action>
DECOMPOSE
</action>
<parallel>
<path>
In the first scenario, Aya walks 9 kilometers at a constant speed of $s$ kilometers per hour, and the total time is 4 hours. The time spent walking is 4 hours minus $t$ minutes. Given $9 = s \times (4 - t/60)$, find the relationship between $s$ and $... | GRPO-BINARY | forced_decomposition | DECOMPOSE | 204 | 39.76 | false | true | false | aime24 | aime24_00000 | original | 0 | 8 | original/aime24/binary-mean-center/decompose/aime24_00000/8 | null | null | binary-mean-center | 100 | 7d5ffe3cf730f06f89cca32182896ef1570977bae7795fac5df4680d349985ab | 0.5 | 1 | 0 | 16 | 20,261,015 | 20,281,015 | 0 | 39.76 | <action>
AGGREGATE
From the first path, we have $s = 540 / (40 - t)$.
From the second path, we have $s = 9 / (2.4 - t/60) - 2$.
Equating the two expressions for $s$:
$540 / (40 - t) = 9 / (2.4 - t/60) - 2$.
Multiply through by $(40 - t)(2.4 - t/60)$:
$540(2.4 - t/60) = 9(40 - t) - 2(40 - t)(2.4 - t/60)$.
$1296 - 9t = 3... | [
{
"tree_index": 8,
"call_id": 1,
"depth": 0,
"role": "root",
"problem": "Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When she walks at a constant speed of $s$ kilometers per hour, the walk takes her 4 hours, including $t$ minutes spent in the coffe... | 6fe647f526bb6e6ca39394487d903b8890c32720d8ca4ba6a041c254f0ad9bec | 4 | 1,147 | false | completed | [] | {"correct":false,"grader_revision":"explicit-answer-timeout-safe-v3-parse-review","method":"math_verify","resolved":true,"transport_retries":0} | {"correct":false,"grader_revision":"explicit-answer-timeout-safe-v3-parse-review","method":"math_verify","resolved":true,"transport_retries":0} | null | math_verify | null | outputs/tunix_root_ablation/20261014-audited-v3/collected/official-binary-mean-center-decompose-shard0/aime24/decompose/rollouts.jsonl | 9 | 619f47bd4372e63cea1d4135beab80a8beab40809853c4ef75b54fc2f1a52ca3 | 41a46368013c34824a0ce61d1f73970362673c3a04711872ba257b55ac49d3ab | math-ai/aime24 | 83a7f387baaa524a8bda0022eac0541582297103 | 60 |
"Every morning Aya goes for a $9$-kilometer-long walk and stops at a coffee shop afterwards. When sh(...TRUNCATED) | "=== Call 1 | root ===\n<action>\nDECOMPOSE\n</action>\n\n<parallel>\n<path>\nCalculate the time spe(...TRUNCATED) | GRPO-BINARY | forced_decomposition | DECOMPOSE | 204 | null | false | false | false | aime24 | aime24_00000 | original | 0 | 9 | original/aime24/binary-mean-center/decompose/aime24_00000/9 | null | null | binary-mean-center | 100 | 7d5ffe3cf730f06f89cca32182896ef1570977bae7795fac5df4680d349985ab | 0.5 | 1 | 0 | 16 | 20,261,015 | 20,281,015 | 0 | null | "<action>\nAGGREGATE\nFrom the first path, we have the walking times $T_1 = 228$ and $T_2 = 132$.\nF(...TRUNCATED) | [{"tree_index":9,"call_id":1,"depth":0,"role":"root","problem":"Every morning Aya goes for a $9$-kil(...TRUNCATED) | 9289f29c4e1c7a0c8dd7f7f3d4b07d6199670c16c6a5823296d13f62ae36a805 | 4 | 3,023 | true | parse_error | ["call_4: missing <action>...</action> block"] | "{\"correct\":false,\"grader_revision\":\"explicit-answer-timeout-safe-v3-parse-review\",\"method\":(...TRUNCATED) | "{\"correct\":false,\"grader_revision\":\"explicit-answer-timeout-safe-v3-parse-review\",\"method\":(...TRUNCATED) | null | missing_answer | null | "outputs/tunix_root_ablation/20261014-audited-v3/collected/official-binary-mean-center-decompose-sha(...TRUNCATED) | 10 | 619f47bd4372e63cea1d4135beab80a8beab40809853c4ef75b54fc2f1a52ca3 | 385ad60f93ac7c1fefe67ef3aae79c222144b8fa3093d6715e908af6d2e0ee88 | math-ai/aime24 | 83a7f387baaa524a8bda0022eac0541582297103 | 60 |
Math recursive evaluation traces
Full saved evaluation trajectories for GRPO-BINARY and GRPO-TW at fixed step-100 checkpoints. 158,400 rollouts, including all successes and failures from the original evaluation and three additional repeats.
Browse
Select a benchmark configuration (math5000, amc23, aime24, aime25). Every configuration has a test split and the same columns. One row is one complete rollout, not one child call and not an average.
| Benchmark | Questions | Samples per question per run/model/method | Rollout rows |
|---|---|---|---|
| math5000 | 5000 | 1 | 120,000 |
| amc23 | 40 | 16 | 15,360 |
| aime24 | 30 | 16 | 11,520 |
| aime25 | 30 | 16 | 11,520 |
Columns
question,reference_answer: exact frozen evaluation inputs, including documented repairs.model_output: all complete call outputs in recorded order, with call identifiers and roles. No summaries or truncation in the stored data.trajectory: structured list containing every saved call field, including completeinput_text,output_text, parent IDs, aggregation links, token counts, and parse status. Recorded order is not a claim that parallel calls executed sequentially.decoding_method:free_choice,forced_direct, orforced_decomposition; the intervention applies at the root.root_actionrecords the actual root action. Recursive child behavior remains visible in the trajectory.model/model_id,checkpoint_step,checkpoint_manifest_sha256: model identity; this digest identifies the checkpoint manifest, not a direct hash of the weights.run:original,repeat_1,repeat_2, orrepeat_3.repeat=0denotes the original.sample_indexis zero based.temperature: 0 for MATH5000 (one greedy answer); 0.5 for AMC/AIME (16 samples per question). All use top-p 1 and top-k 0.base_seed,cell_seed,shard_id: recorded run and execution-cell seeds. These are not independently assigned per-rollout seeds.answer_correct: audited final-answer equivalence;format_valid: saved protocol validity;strict_correct: both. The reported evaluation table uses strict correctness.original_grading_json,audited_grading_json,adjudication_json,grading_method,reviewer: preserve parser results and applied exact prediction/reference-pair review decisions. Codex review is AI review, not human annotation.source_file,source_line, hashes, and dataset revision fields: immutable source provenance. Source paths are repository-relative.
Reproduce the three-repeat evaluation
Filter to repeat in [1, 2, 3]; the original is retained for provenance and is excluded from the reported three-repeat mean and sample SD. For each run/model/method, mean@k is the mean of strict_correct; pass@16 is the fraction of questions with at least one strictly correct answer among that run’s 16 samples. Compute per-run metrics first and then average the three runs. Pooling 48 samples would be a different metric.
from datasets import load_dataset
ds = load_dataset("parksoojae/math-recursive-eval-traces", "math5000", split="test", token=True)
repeats = ds.filter(lambda row: row["repeat"] in (1, 2, 3))
Provenance and limitations
The export was read back from Parquet and checked against all 96 audited run/model/method/benchmark cells, including answer-only and strict mean/pass metrics (384 comparisons). Every trajectory was round-trip checked. No new inference, regrading, checkpoint upload, or modification of frozen artifacts occurred.
These are repeats of inference with fixed trained checkpoints, not independent training seeds. Correct final answers do not certify correct reasoning. Frozen grading is retained, including known limitations; later qualitative failure-audit flags do not silently override benchmark grades. This release does not include the subjective failure-category labels as benchmark truth.
See provenance/ for input repairs, source hashes, exact-pair adjudications, per-run score tables, and validation results.
Upstream benchmark sources
- math5000: DigitalLearningGmbH/MATH-lighteval, test split, revision
0530c78699ea5e8eb5530600900e1f328b48acad. - amc23: math-ai/amc23, test split, revision
80815d37005feb82cd7f8fbc6901d5d3eff43057. - aime24: math-ai/aime24, test split, revision
83a7f387baaa524a8bda0022eac0541582297103. - aime25: math-ai/aime25, test split, revision
563bb8404243c5f09de6ec262f2db674fe5bce9b.
Questions and reference answers retain their upstream rights and terms; this private export does not grant a new blanket license to the combined material. Upstream provenance is recorded rather than assigning an unsupported aggregate license.
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