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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...
[ { "tree_index": 0, "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...
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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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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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...
[ { "tree_index": 3, "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...
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})...
[ { "tree_index": 4, "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...
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...
[ { "tree_index": 5, "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...
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 = ...
[ { "tree_index": 6, "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...
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...
[ { "tree_index": 7, "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...
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
End of preview. Expand in Data Studio

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 complete input_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, or forced_decomposition; the intervention applies at the root. root_action records 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, or repeat_3. repeat=0 denotes the original. sample_index is 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

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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