refresh 2026-08-26T19:23:15Z (38 files)

README.md

@@ -52,8 +52,8 @@ configs:
    all 20 matched checkpoints, the endpoint-scaled benchmark mean rises +0.219 (18/20 positive,
    Wilcoxon p = 9.5e-6) (§6 T0).
 
-**Coverage: mechanism 13/20 matched pairs, property panel 0/20.** Regenerated
-2026-08-26 19:19 UTC.
+**Coverage: mechanism 15/20 matched pairs, property panel 0/20.** Regenerated
+2026-08-26 19:23 UTC.
 <!-- AIM-HEADLINE:END -->
 Published at
 [`Mergeability-2/aim-activation-informed-merging`](https://huggingface.co/datasets/Mergeability-2/aim-activation-informed-merging),
@@ -243,19 +243,23 @@ Two caveats stated up front, because they decide how the figure may be read.
 
 ### 3.3 RESULT — the targeting is real, and it is roughly four times more efficient than shrinkage alone
 
-**Coverage at the time of writing: 13/20 matched pairs.** The numbers below are refreshed
+**Coverage at the time of writing: 15/20 matched pairs.** The numbers below are refreshed
 automatically as more land (`scripts/aim/autopilot_aim.sh`), and the current table is always §6 T4
 and `results/aim/tables/T4_mechanism.csv`.
 
-Averaged over the 13 pairs measured so far, on 4096 pile-val token positions and 40 layers:
+Averaged over the 15 pairs measured so far, on 4096 pile-val token positions and 40 layers:
 
 | quantity | value | reading |
 |---|---|---|
-| `rho_W` — weight-space shrink `‖ΔW_AIM‖/‖ΔW_merge‖` | **0.923** | AIM removes 7.7% of the merge's task vector |
+| `rho_W` — weight-space shrink `‖ΔW_AIM‖/‖ΔW_merge‖` | **0.922** | AIM removes 7.8% of the merge's task vector |
 | `rho_A(uniform)` — activation shrink, activation-**agnostic** control | **0.966** | removing that much weight the *wrong* way removes only 3.4% of the activation deviation |
-| `rho_A(AIM)` — activation shrink, activation-**informed** | **0.864** | removing the same amount the *right* way removes 13.6% |
-| `aim_advantage` = `rho_A(uniform) − rho_A(AIM)` | **+0.102** | positive in 13/13 pairs |
-| leverage `(1−rho_A)/(1−rho_W)` — activation deviation removed per unit of weight change | AIM **1.75** vs uniform **0.44** | **AIM is ~4.0x more efficient** |
+| `rho_A(AIM)` — activation shrink, activation-**informed** | **0.863** | removing the same amount the *right* way removes 13.7% |
+| `aim_advantage` = `rho_A(uniform) − rho_A(AIM)` | **+0.103** | positive in 15/15 pairs |
+| leverage `(1−rho_A)/(1−rho_W)` — activation deviation removed per unit of weight change | AIM **1.76** vs uniform **0.43** | **AIM is ~4.1x more efficient** |
+
+**Paired test.** The advantage is positive on **every** pair measured
+(15/15), median +0.1066, Wilcoxon signed rank p = 6.104e-05. It is not an average over a mixed
+bag; no operator and no task combination is an exception.
 
 So the answer to the question in the section title is **yes, AIM does what it claims, and the
 claim is not trivial**. The control makes that precise. Both models are, tensor for tensor, exactly
@@ -287,6 +291,22 @@ the distribution you selected the weights from is the easiest version of the cla
 follow that the preserved activations are the ones that matter for HumanEval or GSM8K, and §3.4
 (the property panel against the published outcome) is where that link would have to be made.
 
+**And a caution about which part of AIM predicts the benefit.** Correlated against the paper's own
+published gain over the 15 pairs, it is the *size* of the pullback that tracks the outcome best,
+not the quality of the targeting:
+
+| predictor | Pearson r with the published AIM gain |
+|---|---|
+| weight-space pullback `1 − rho_W` | **+0.534** |
+| activation-space pullback `1 − rho_A(AIM)` | +0.374 |
+| targeting advantage over the control | +0.333 |
+
+Both readings are true and they are not in tension: the targeting is what makes a given weight-space
+pullback cheap in activation space (that is §3.3's result, and it is unanimous), but across
+checkpoints what varies most with the benchmark gain is simply how much of the merge got pulled
+back. On 15 points none of these correlations is individually distinguishable from zero, so this
+is a direction to look, not a claim.
+
 ## 4. What did not run, and why
 
 - **No benchmark evaluation.** Ruled out on time grounds; published numbers cover all 40
@@ -354,25 +374,28 @@ Every table is also a CSV under `results/aim/tables/` and on the Hub at [`Mergea
 
 The direct test of AIM's claim. Needs no benchmark scores. `rho_W` is the weight-space shrink `‖ΔW_AIM‖/‖ΔW_merge‖`; `rho_A_*` is the same ratio measured on activations (4096 pile-val token positions, mean over layers); `aim_advantage = rho_A_uniform − rho_A_aim` is **positive when the activation-informed shrink preserves the base model's activations better than an activation-agnostic shrink of exactly the same weight-space size**. `omega_hat` and `col_r2_median` are the recovered closed form; `salience_recovery_r` is the correlation between the salience implied by the published checkpoint pair and the salience measured independently from the base model.
 
-| operator_label   | combo                  |   omega_hat |   col_r2_median |   scalar_r2_median | salience_recovery_r   |   rho_W | rel_dev_merge   | rel_dev_uniform   | rel_dev_aim   | rho_A_uniform   | rho_A_aim   | aim_advantage   | leverage_uniform   | leverage_aim   |
-|:-----------------|:-----------------------|------------:|----------------:|-------------------:|:----------------------|--------:|:----------------|:------------------|:--------------|:----------------|:------------|:----------------|:-------------------|:---------------|
-| DARE Linear      | Code-Instruction_Tuned |      0.3998 |          0.9992 |             0.9988 | 0.998                 |  0.9176 | 0.3269          | 0.3151            | 0.2772        | 0.9639          | 0.848       | 0.1158          | 0.4386             | 1.845          |
-| DARE Linear      | Code-Math              |      0.3971 |          0.9955 |             0.9949 | 0.9934                |  0.9239 | 0.209           | 0.2017            | 0.1832        | 0.9652          | 0.8767      | 0.08843         | 0.4579             | 1.62           |
-| DARE Linear      | Math-Instruction_Tuned |      0.3999 |          0.9992 |             0.9988 | —                     |  0.9174 | —               | —                 | —             | —               | —           | —               | —                  | —              |
-| DARE TIES        | Code-Instruction_Tuned |      0.3999 |          0.9995 |             0.9991 | 0.9976                |  0.9181 | 0.3221          | 0.3109            | 0.2707        | 0.9653          | 0.8404      | 0.1248          | 0.424              | 1.948          |
-| DARE TIES        | Code-Math              |      0.3961 |          0.9989 |             0.9984 | 0.9923                |  0.9256 | 0.2114          | 0.2053            | 0.1847        | 0.971           | 0.8739      | 0.09717         | 0.3893             | 1.695          |
-| DARE TIES        | Math-Instruction_Tuned |      0.4    |          0.9995 |             0.9992 | 0.9978                |  0.9175 | 0.4002          | 0.3856            | 0.3405        | 0.9635          | 0.8508      | 0.1127          | 0.4421             | 1.809          |
-| Task Arithmetic  | Code-Instruction_Tuned |      0.3999 |          0.9995 |             0.9991 | 0.9976                |  0.9185 | 0.319           | 0.3071            | 0.2704        | 0.9626          | 0.8475      | 0.1151          | 0.4592             | 1.871          |
-| Task Arithmetic  | Code-Math              |      0.3958 |          0.9988 |             0.9985 | 0.9921                |  0.9266 | 0.2079          | 0.2019            | 0.1835        | 0.9711          | 0.8828      | 0.08823         | 0.3946             | 1.597          |
-| Task Arithmetic  | Math-Instruction_Tuned |      0.3999 |          0.9995 |             0.9991 | 0.9978                |  0.9179 | 0.3921          | 0.3748            | 0.3381        | 0.956           | 0.8622      | 0.09375         | 0.5363             | 1.678          |
-| TIES             | Code-Instruction_Tuned |      0.3998 |          0.9994 |             0.999  | 0.9972                |  0.9208 | 0.2675          | 0.2573            | 0.2259        | 0.9618          | 0.8445      | 0.1174          | 0.4817             | 1.963          |
-| TIES             | Code-Math              |      0.3939 |          0.9988 |             0.9984 | 0.99                  |  0.9308 | 0.1834          | 0.1784            | 0.1624        | 0.9729          | 0.8855      | 0.08738         | 0.392              | 1.654          |
-| TIES             | Math-Instruction_Tuned |      0.4    |          0.9993 |             0.9989 | 0.9971                |  0.9196 | 0.2414          | 0.2327            | 0.2053        | 0.964           | 0.8504      | 0.1136          | 0.448              | 1.862          |
-| WIDEN            | Code-Instruction_Tuned |      0.3957 |          0.998  |             0.9977 | 0.9792                |  0.9213 | 0.2152          | 0.2062            | 0.1898        | 0.958           | 0.8819      | 0.07616         | 0.5335             | 1.501          |
-| WIDEN            | Code-Math              |      0.3717 |          0.9899 |             0.9894 | 0.9428                |  0.9352 | 0.15            | 0.1468            | 0.1333        | 0.9791          | 0.889       | 0.09009         | 0.3227             | 1.713          |
-
-
-**Paired test of the targeting advantage** over the magnitude-matched uniform control, across the 13 matched pairs: mean +0.10159, median +0.09717, 13/13 positive, Wilcoxon signed rank p = 0.000244, sign test p = 0.000244.
+| operator_label   | combo                       |   omega_hat |   col_r2_median |   scalar_r2_median |   salience_recovery_r |   rho_W |   rel_dev_merge |   rel_dev_uniform | rel_dev_aim   |   rho_A_uniform | rho_A_aim   | aim_advantage   |   leverage_uniform | leverage_aim   |
+|:-----------------|:----------------------------|------------:|----------------:|-------------------:|----------------------:|--------:|----------------:|------------------:|:--------------|----------------:|:------------|:----------------|-------------------:|:---------------|
+| DARE Linear      | Code-Instruction_Tuned      |      0.3998 |          0.9992 |             0.9988 |                0.998  |  0.9176 |          0.3269 |            0.3151 | 0.2772        |          0.9639 | 0.848       | 0.1158          |             0.4386 | 1.845          |
+| DARE Linear      | Code-Math                   |      0.3971 |          0.9955 |             0.9949 |                0.9934 |  0.9239 |          0.209  |            0.2017 | 0.1832        |          0.9652 | 0.8767      | 0.08843         |             0.4579 | 1.62           |
+| DARE Linear      | Code-Math-Instruction_Tuned |      0.3999 |          0.9992 |             0.9988 |                0.9981 |  0.9174 |          0.414  |            0.3971 | —             |          0.9592 | —           | —               |             0.4943 | —              |
+| DARE Linear      | Math-Instruction_Tuned      |      0.3999 |          0.9992 |             0.9988 |                0.9981 |  0.9174 |          0.3977 |            0.3833 | 0.3409        |          0.9637 | 0.8571      | 0.1066          |             0.4403 | 1.731          |
+| DARE TIES        | Code-Instruction_Tuned      |      0.3999 |          0.9995 |             0.9991 |                0.9976 |  0.9181 |          0.3221 |            0.3109 | 0.2707        |          0.9653 | 0.8404      | 0.1248          |             0.424  | 1.948          |
+| DARE TIES        | Code-Math                   |      0.3961 |          0.9989 |             0.9984 |                0.9923 |  0.9256 |          0.2114 |            0.2053 | 0.1847        |          0.971  | 0.8739      | 0.09717         |             0.3893 | 1.695          |
+| DARE TIES        | Math-Instruction_Tuned      |      0.4    |          0.9995 |             0.9992 |                0.9978 |  0.9175 |          0.4002 |            0.3856 | 0.3405        |          0.9635 | 0.8508      | 0.1127          |             0.4421 | 1.809          |
+| Task Arithmetic  | Code-Instruction_Tuned      |      0.3999 |          0.9995 |             0.9991 |                0.9976 |  0.9185 |          0.319  |            0.3071 | 0.2704        |          0.9626 | 0.8475      | 0.1151          |             0.4592 | 1.871          |
+| Task Arithmetic  | Code-Math                   |      0.3958 |          0.9988 |             0.9985 |                0.9921 |  0.9266 |          0.2079 |            0.2019 | 0.1835        |          0.9711 | 0.8828      | 0.08823         |             0.3946 | 1.597          |
+| Task Arithmetic  | Code-Math-Instruction_Tuned |      0.3999 |          0.9995 |             0.9991 |                0.9978 |  0.9178 |          0.4056 |            0.3942 | 0.3436        |          0.9717 | 0.847       | 0.1247          |             0.344  | 1.862          |
+| Task Arithmetic  | Math-Instruction_Tuned      |      0.3999 |          0.9995 |             0.9991 |                0.9978 |  0.9179 |          0.3921 |            0.3748 | 0.3381        |          0.956  | 0.8622      | 0.09375         |             0.5363 | 1.678          |
+| TIES             | Code-Instruction_Tuned      |      0.3998 |          0.9994 |             0.999  |                0.9972 |  0.9208 |          0.2675 |            0.2573 | 0.2259        |          0.9618 | 0.8445      | 0.1174          |             0.4817 | 1.963          |
+| TIES             | Code-Math                   |      0.3939 |          0.9988 |             0.9984 |                0.99   |  0.9308 |          0.1834 |            0.1784 | 0.1624        |          0.9729 | 0.8855      | 0.08738         |             0.392  | 1.654          |
+| TIES             | Math-Instruction_Tuned      |      0.4    |          0.9993 |             0.9989 |                0.9971 |  0.9196 |          0.2414 |            0.2327 | 0.2053        |          0.964  | 0.8504      | 0.1136          |             0.448  | 1.862          |
+| WIDEN            | Code-Instruction_Tuned      |      0.3957 |          0.998  |             0.9977 |                0.9792 |  0.9213 |          0.2152 |            0.2062 | 0.1898        |          0.958  | 0.8819      | 0.07616         |             0.5335 | 1.501          |
+| WIDEN            | Code-Math                   |      0.3717 |          0.9899 |             0.9894 |                0.9428 |  0.9352 |          0.15   |            0.1468 | 0.1333        |          0.9791 | 0.889       | 0.09009         |             0.3227 | 1.713          |
+| WIDEN            | Math-Instruction_Tuned      |      0.3987 |          0.9983 |             0.9979 |                0.9892 |  0.9205 |          0.272  |            0.2634 | —             |          0.9687 | —           | —               |             0.3941 | —              |
+
+
+**Paired test of the targeting advantage** over the magnitude-matched uniform control, across the 15 matched pairs: mean +0.10346, median +0.10657, 15/15 positive, Wilcoxon signed rank p = 6.1e-05, sign test p = 6.1e-05.
 
 
 ### T0 — The merge outcome, paired (published numbers, nothing re-run)
@@ -420,14 +443,14 @@ Per benchmark, paired across the 20 matched pairs:
 
 ### T2 — Does AIM's effect differ by merge operator?
 
-| operator           |   n_metrics |   n_moved_q<0.05 |   mean_|diff| (SD units) | largest movers                                                                  |
-|:-------------------|------------:|-----------------:|-------------------------:|:--------------------------------------------------------------------------------|
-| ALL                |           5 |                5 |                   0.3612 | cka_to_base (+0.55), act_deviation_from_base (-0.50), beh_kl_to_base (-0.30)    |
-| DARETaskArithmetic |           5 |                0 |                   0.3935 | cka_to_base (+0.63), act_deviation_from_base (-0.51), beh_kl_to_base (-0.30)    |
-| DARETies           |           5 |                0 |                   0.471  | cka_to_base (+0.82), act_deviation_from_base (-0.62), beh_kl_to_base (-0.39)    |
-| TaskArithmetic     |           5 |                0 |                   0.432  | cka_to_base (+0.69), act_deviation_from_base (-0.57), beh_kl_to_base (-0.38)    |
-| Ties               |           5 |                0 |                   0.2744 | act_deviation_from_base (-0.44), cka_to_base (+0.37), beh_kl_to_base (-0.20)    |
-| WIDEN              |           5 |                0 |                   0.1844 | act_deviation_from_base (-0.28), beh_js_to_base (-0.18), beh_kl_to_base (-0.17) |
+| operator           |   n_metrics |   n_moved_q<0.05 |   mean_|diff| (SD units) | largest movers                                                                     |
+|:-------------------|------------:|-----------------:|-------------------------:|:-----------------------------------------------------------------------------------|
+| ALL                |           5 |                5 |                   0.3399 | cka_to_base (+0.53), act_deviation_from_base (-0.48), beh_kl_to_base (-0.26)       |
+| DARETaskArithmetic |           5 |                0 |                   0.3865 | cka_to_base (+0.64), act_deviation_from_base (-0.53), beh_kl_to_base (-0.28)       |
+| DARETies           |           5 |                0 |                   0.4017 | cka_to_base (+0.68), act_deviation_from_base (-0.55), beh_kl_to_base (-0.32)       |
+| TaskArithmetic     |           5 |                0 |                   0.4244 | cka_to_base (+0.71), act_deviation_from_base (-0.56), beh_kl_to_base (-0.35)       |
+| Ties               |           5 |                0 |                   0.237  | act_deviation_from_base (-0.39), cka_to_base (+0.30), qmd_raw_from_base (-0.18)    |
+| WIDEN              |           5 |                0 |                   0.1642 | act_deviation_from_base (-0.25), qmd_raw_from_base (-0.15), beh_js_to_base (-0.15) |
 
 
 Full table: `results/aim/tables/T2_per_operator.csv` (30 rows: every metric x every level, with the paired mean difference in SD units, the count of positive differences, Wilcoxon/sign p and BH q).
@@ -435,15 +458,16 @@ Full table: `results/aim/tables/T2_per_operator.csv` (30 rows: every metric x ev
 
 ### T3 — Does it differ by which domains were merged?
 
-| combo                  |   n_metrics |   n_moved_q<0.05 |   mean_|diff| (SD units) | largest movers                                                                  |
-|:-----------------------|------------:|-----------------:|-------------------------:|:--------------------------------------------------------------------------------|
-| ALL                    |           5 |                5 |                   0.3612 | cka_to_base (+0.55), act_deviation_from_base (-0.50), beh_kl_to_base (-0.30)    |
-| Code-Instruction_Tuned |           5 |                0 |                   0.4375 | cka_to_base (+0.78), act_deviation_from_base (-0.58), beh_kl_to_base (-0.30)    |
-| Code-Math              |           5 |                0 |                   0.1975 | act_deviation_from_base (-0.31), beh_js_to_base (-0.22), beh_kl_to_base (-0.20) |
-| Math-Instruction_Tuned |           5 |                0 |                   0.5015 | cka_to_base (+0.81), act_deviation_from_base (-0.67), beh_kl_to_base (-0.45)    |
+| combo                       |   n_metrics |   n_moved_q<0.05 |   mean_|diff| (SD units) | largest movers                                                                  |
+|:----------------------------|------------:|-----------------:|-------------------------:|:--------------------------------------------------------------------------------|
+| ALL                         |           5 |                5 |                   0.3399 | cka_to_base (+0.53), act_deviation_from_base (-0.48), beh_kl_to_base (-0.26)    |
+| Code-Instruction_Tuned      |           5 |                0 |                   0.3753 | cka_to_base (+0.64), act_deviation_from_base (-0.52), qmd_raw_from_base (-0.25) |
+| Code-Math                   |           5 |                0 |                   0.1679 | act_deviation_from_base (-0.27), beh_js_to_base (-0.18), beh_kl_to_base (-0.16) |
+| Code-Math-Instruction_Tuned |           5 |                0 |                   0.5951 | cka_to_base (+1.13), act_deviation_from_base (-0.74), beh_kl_to_base (-0.47)    |
+| Math-Instruction_Tuned      |           5 |                0 |                   0.4398 | cka_to_base (+0.72), act_deviation_from_base (-0.62), beh_kl_to_base (-0.36)    |
 
 
-Full table: `results/aim/tables/T3_per_combo.csv` (20 rows: every metric x every level, with the paired mean difference in SD units, the count of positive differences, Wilcoxon/sign p and BH q).
+Full table: `results/aim/tables/T3_per_combo.csv` (25 rows: every metric x every level, with the paired mean difference in SD units, the count of positive differences, Wilcoxon/sign p and BH q).
 
 
 ### T1 — Paired per-checkpoint table
@@ -460,22 +484,22 @@ One row per (operator, task combination, property): the with-AIM value, its base
 | Task Arithmetic  | Code-Math                   | not-run         | True               | True                   | False                      | True                   |
 | Task Arithmetic  | Code-Instruction_Tuned      | not-run         | True               | True                   | False                      | True                   |
 | Task Arithmetic  | Math-Instruction_Tuned      | not-run         | True               | True                   | False                      | True                   |
-| Task Arithmetic  | Code-Math-Instruction_Tuned | not-run         | False              | False                  | False                      | True                   |
+| Task Arithmetic  | Code-Math-Instruction_Tuned | not-run         | True               | True                   | False                      | True                   |
 | TIES             | Code-Math                   | not-run         | True               | True                   | False                      | True                   |
 | TIES             | Code-Instruction_Tuned      | not-run         | True               | True                   | False                      | True                   |
 | TIES             | Math-Instruction_Tuned      | not-run         | True               | True                   | False                      | True                   |
 | TIES             | Code-Math-Instruction_Tuned | not-run         | False              | False                  | False                      | True                   |
 | DARE Linear      | Code-Math                   | not-run         | True               | True                   | False                      | True                   |
 | DARE Linear      | Code-Instruction_Tuned      | not-run         | True               | True                   | False                      | True                   |
-| DARE Linear      | Math-Instruction_Tuned      | not-run         | True               | False                  | False                      | True                   |
-| DARE Linear      | Code-Math-Instruction_Tuned | not-run         | False              | False                  | False                      | True                   |
+| DARE Linear      | Math-Instruction_Tuned      | not-run         | True               | True                   | False                      | True                   |
+| DARE Linear      | Code-Math-Instruction_Tuned | not-run         | True               | True                   | False                      | True                   |
 | DARE TIES        | Code-Math                   | not-run         | True               | True                   | False                      | True                   |
 | DARE TIES        | Code-Instruction_Tuned      | not-run         | True               | True                   | False                      | True                   |
 | DARE TIES        | Math-Instruction_Tuned      | not-run         | True               | True                   | False                      | True                   |
 | DARE TIES        | Code-Math-Instruction_Tuned | not-run         | False              | False                  | False                      | True                   |
 | WIDEN            | Code-Math                   | not-run         | True               | True                   | False                      | True                   |
 | WIDEN            | Code-Instruction_Tuned      | not-run         | True               | True                   | False                      | True                   |
-| WIDEN            | Math-Instruction_Tuned      | not-run         | False              | False                  | False                      | True                   |
+| WIDEN            | Math-Instruction_Tuned      | not-run         | True               | True                   | False                      | True                   |
 | WIDEN            | Code-Math-Instruction_Tuned | not-run         | False              | False                  | False                      | True                   |
 
 

results/ledger_s0.json

@@ -5,12 +5,24 @@
   "status": "ok",
   "when": "2026-08-26T19:04:53"
  },
+ "DARETaskArithmetic__Math-Instruction_Tuned#mech": {
+  "phase": "mech",
+  "secs": 196,
+  "status": "ok",
+  "when": "2026-08-26T19:20:01"
+ },
  "DARETies__Code-Instruction_Tuned#mech": {
   "phase": "mech",
   "secs": 188,
   "status": "ok",
   "when": "2026-08-26T19:13:29"
  },
+ "DARETies__Code-Math-Instruction_Tuned#mech": {
+  "phase": "mech",
+  "secs": 174,
+  "status": "ok",
+  "when": "2026-08-26T19:29:29"
+ },
  "TaskArithmetic__Code-Math#mech": {
   "note": "recovered from artefacts",
   "phase": "mech",
@@ -28,10 +40,22 @@
   "status": "ok",
   "when": "2026-08-26T19:10:21"
  },
+ "Ties__Code-Math-Instruction_Tuned#mech": {
+  "phase": "mech",
+  "secs": 196,
+  "status": "ok",
+  "when": "2026-08-26T19:26:35"
+ },
  "WIDEN__Code-Math#mech": {
   "phase": "mech",
   "secs": 161,
   "status": "ok",
   "when": "2026-08-26T19:07:34"
+ },
+ "WIDEN__Math-Instruction_Tuned#mech": {
+  "phase": "mech",
+  "secs": 197,
+  "status": "ok",
+  "when": "2026-08-26T19:23:18"
  }
 }

results/ledger_s1.json

@@ -5,6 +5,12 @@
   "status": "ok",
   "when": "2026-08-26T19:08:07"
  },
+ "DARETaskArithmetic__Code-Math-Instruction_Tuned#mech": {
+  "phase": "mech",
+  "secs": 198,
+  "status": "ok",
+  "when": "2026-08-26T19:23:34"
+ },
  "DARETies__Code-Math#mech": {
   "note": "recovered from artefacts",
   "phase": "mech",
@@ -22,6 +28,12 @@
   "status": "ok",
   "when": "2026-08-26T19:05:30"
  },
+ "TaskArithmetic__Code-Math-Instruction_Tuned#mech": {
+  "phase": "mech",
+  "secs": 186,
+  "status": "ok",
+  "when": "2026-08-26T19:20:16"
+ },
  "Ties__Code-Math#mech": {
   "note": "recovered from artefacts",
   "phase": "mech",
@@ -38,5 +50,11 @@
   "secs": 158,
   "status": "ok",
   "when": "2026-08-26T19:10:45"
+ },
+ "WIDEN__Code-Math-Instruction_Tuned#mech": {
+  "phase": "mech",
+  "secs": 193,
+  "status": "ok",
+  "when": "2026-08-26T19:26:47"
  }
 }

results/mechanism_acts_s0.csv

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+DARETaskArithmetic,Code-Math-Instruction_Tuned,merge,33,0.5954475998878479,0.9450719356536865,0.8085275888442993
+DARETaskArithmetic,Code-Math-Instruction_Tuned,merge,34,0.6060079336166382,0.9425482749938965,0.8000157475471497
+DARETaskArithmetic,Code-Math-Instruction_Tuned,merge,35,0.6172646880149841,0.9412375688552856,0.7902732491493225
+DARETaskArithmetic,Code-Math-Instruction_Tuned,merge,36,0.6303185820579529,0.9368901252746582,0.7792572379112244
+DARETaskArithmetic,Code-Math-Instruction_Tuned,merge,37,0.6393218040466309,0.9274734854698181,0.7716488838195801
+DARETaskArithmetic,Code-Math-Instruction_Tuned,merge,38,0.6792505383491516,0.7798298001289368,0.7349784970283508
+DARETaskArithmetic,Code-Math-Instruction_Tuned,merge,39,0.7553146481513977,0.6243398785591125,0.6606273651123047
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,0,0.17531192302703857,0.9794332981109619,0.9866941571235657
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,1,0.20818938314914703,0.9755377173423767,0.9812305569648743
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,2,0.2485513836145401,0.9755410552024841,0.9720064997673035
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,3,0.22867000102996826,0.9575588703155518,0.9778878688812256
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,4,0.23086291551589966,0.9575664401054382,0.9773648977279663
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,5,0.2339383065700531,0.9575822949409485,0.9765799045562744
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,6,0.23784023523330688,0.957765519618988,0.9755738973617554
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,7,0.2307848185300827,0.9629050493240356,0.9768549203872681
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,8,0.2382197380065918,0.9629152417182922,0.9749755263328552
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,9,0.2475285530090332,0.9629170894622803,0.9725009799003601
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,10,0.2572254538536072,0.9629213809967041,0.969864547252655
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,11,0.26712504029273987,0.9629161357879639,0.9669690132141113
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,12,0.27781572937965393,0.9629164934158325,0.9638012051582336
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,13,0.28840163350105286,0.962901771068573,0.9606250524520874
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,14,0.3020850419998169,0.962893009185791,0.9563579559326172
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,15,0.31393012404441833,0.9628672003746033,0.9525594115257263
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,16,0.32767927646636963,0.9628425240516663,0.9480395317077637
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,17,0.34125378727912903,0.9628051519393921,0.9433166980743408
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,18,0.35278958082199097,0.9627824425697327,0.9392766952514648
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,19,0.36714622378349304,0.9627488851547241,0.9340119957923889
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,20,0.38429415225982666,0.962652862071991,0.9274851679801941
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,21,0.40560781955718994,0.9629511833190918,0.9192183017730713
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,22,0.42133352160453796,0.9626724123954773,0.9128637313842773
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,23,0.43772104382514954,0.9622517824172974,0.9058696031570435
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,24,0.45188668370246887,0.9617244601249695,0.8994299173355103
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,25,0.46408405900001526,0.9610576033592224,0.8936768174171448
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,26,0.47899842262268066,0.9598267674446106,0.8863475322723389
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,27,0.48818352818489075,0.9591227769851685,0.8813288807868958
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,28,0.5164512395858765,0.9562581777572632,0.8642574548721313
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,29,0.5253770351409912,0.9549153447151184,0.8586522340774536
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,30,0.5360995531082153,0.9531922340393066,0.851642906665802
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,31,0.5444602370262146,0.9519051313400269,0.845802366733551
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,32,0.5551281571388245,0.949895441532135,0.8382723927497864
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,33,0.5657792091369629,0.9480693340301514,0.830428421497345
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,34,0.575403094291687,0.9457893967628479,0.8232606053352356
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,35,0.585983395576477,0.9445908069610596,0.8147275447845459
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+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,0,0.1509183645248413,0.982822597026825,0.9894641041755676
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,1,0.17958325147628784,0.980273962020874,0.9854674935340881
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,2,0.21681711077690125,0.9803253412246704,0.9781003594398499
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,3,0.16577494144439697,0.9786033034324646,0.9887761473655701
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,4,0.16837982833385468,0.9786058664321899,0.9883376955986023
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,5,0.17198072373867035,0.9786117672920227,0.9876914024353027
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,6,0.17707914113998413,0.978619396686554,0.9867592453956604
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,7,0.17518573999404907,0.980827808380127,0.9868042469024658
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,8,0.18379023671150208,0.9808341264724731,0.9851875901222229
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+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,10,0.20554198324680328,0.9808332920074463,0.9807085990905762
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,11,0.21657627820968628,0.9808282256126404,0.9781976342201233
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+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,14,0.2547546625137329,0.9808074831962585,0.9687985181808472
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,15,0.26708611845970154,0.9807929396629333,0.965506374835968
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+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,19,0.32294464111328125,0.9806790947914124,0.9489096403121948
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,20,0.3401617109775543,0.980591356754303,0.943226158618927
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+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,24,0.4073690176010132,0.9796711802482605,0.9188849329948425
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,25,0.41890475153923035,0.9790413975715637,0.9142178893089294
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,26,0.43301627039909363,0.9778851866722107,0.9082604050636292
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,27,0.44135400652885437,0.9772294759750366,0.9043822884559631
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,28,0.4664188027381897,0.9746125340461731,0.8914654850959778
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,29,0.47425132989883423,0.9733825325965881,0.8873007893562317
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,30,0.4831431210041046,0.9718096852302551,0.8824225068092346
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,31,0.4902651906013489,0.9706506133079529,0.8781720399856567
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,32,0.4995063841342926,0.9688368439674377,0.8726516962051392
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,33,0.508624792098999,0.9671891927719116,0.8669265508651733
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,34,0.5167627334594727,0.9651389122009277,0.8617879748344421
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,35,0.5263938903808594,0.9640176296234131,0.8551546335220337
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,36,0.5369576215744019,0.9606220126152039,0.8482393622398376
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,37,0.5448560118675232,0.9526320695877075,0.8431410193443298
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,38,0.58201003074646,0.8275177478790283,0.8165023326873779
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,39,0.6663004159927368,0.7083608508110046,0.7575098872184753
+WIDEN,Code-Math-Instruction_Tuned,merge,0,0.11795061081647873,0.990094780921936,0.9935672283172607
+WIDEN,Code-Math-Instruction_Tuned,merge,1,0.1290106475353241,0.9918190240859985,0.9926100969314575
+WIDEN,Code-Math-Instruction_Tuned,merge,2,0.1605950891971588,0.9917897582054138,0.9882057905197144
+WIDEN,Code-Math-Instruction_Tuned,merge,3,0.08556364476680756,0.9948073625564575,0.9970928430557251
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+WIDEN,Code-Math-Instruction_Tuned,merge,6,0.09835464507341385,0.9948108196258545,0.9959194660186768
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+WIDEN,Code-Math-Instruction_Tuned,uniform,30,0.3375515639781952,0.9898476600646973,0.9462096095085144
+WIDEN,Code-Math-Instruction_Tuned,uniform,31,0.34198197722435,0.9892313480377197,0.9445532560348511
+WIDEN,Code-Math-Instruction_Tuned,uniform,32,0.34780076146125793,0.988235354423523,0.9424595832824707
+WIDEN,Code-Math-Instruction_Tuned,uniform,33,0.35314297676086426,0.9873722195625305,0.9403877854347229
+WIDEN,Code-Math-Instruction_Tuned,uniform,34,0.35813987255096436,0.986276388168335,0.9384662508964539
+WIDEN,Code-Math-Instruction_Tuned,uniform,35,0.36496442556381226,0.9856314063072205,0.9355486035346985
+WIDEN,Code-Math-Instruction_Tuned,uniform,36,0.37192848324775696,0.9838313460350037,0.932854413986206
+WIDEN,Code-Math-Instruction_Tuned,uniform,37,0.37776491045951843,0.979340672492981,0.9306226372718811
+WIDEN,Code-Math-Instruction_Tuned,uniform,38,0.40577608346939087,0.9113554954528809,0.9188206195831299
+WIDEN,Code-Math-Instruction_Tuned,uniform,39,0.48811501264572144,0.8452361822128296,0.8895997405052185
+WIDEN,Code-Math-Instruction_Tuned,aim,0,0.10279644280672073,0.9918186068534851,0.9948267936706543
+WIDEN,Code-Math-Instruction_Tuned,aim,1,0.11076484620571136,0.9938036799430847,0.9942768216133118
+WIDEN,Code-Math-Instruction_Tuned,aim,2,0.13976529240608215,0.9937811493873596,0.9907880425453186
+WIDEN,Code-Math-Instruction_Tuned,aim,3,0.05400655046105385,0.9982129335403442,0.9988593459129333
+WIDEN,Code-Math-Instruction_Tuned,aim,4,0.05799331143498421,0.9982161521911621,0.9986425638198853
+WIDEN,Code-Math-Instruction_Tuned,aim,5,0.06281465291976929,0.9982143044471741,0.9983524084091187
+WIDEN,Code-Math-Instruction_Tuned,aim,6,0.0692320391535759,0.998213529586792,0.997929573059082
+WIDEN,Code-Math-Instruction_Tuned,aim,7,0.07330799847841263,0.9983834028244019,0.997580349445343
+WIDEN,Code-Math-Instruction_Tuned,aim,8,0.08275091648101807,0.9983820915222168,0.9968486428260803
+WIDEN,Code-Math-Instruction_Tuned,aim,9,0.0929880440235138,0.9983815550804138,0.9959414005279541
+WIDEN,Code-Math-Instruction_Tuned,aim,10,0.1036970242857933,0.9983800649642944,0.9948827028274536
+WIDEN,Code-Math-Instruction_Tuned,aim,11,0.11426388472318649,0.9983797073364258,0.9937067627906799
+WIDEN,Code-Math-Instruction_Tuned,aim,12,0.12441879510879517,0.9983804225921631,0.9924867153167725
+WIDEN,Code-Math-Instruction_Tuned,aim,13,0.1343654990196228,0.9983741044998169,0.9911956787109375
+WIDEN,Code-Math-Instruction_Tuned,aim,14,0.14719918370246887,0.9983701109886169,0.9893870949745178
+WIDEN,Code-Math-Instruction_Tuned,aim,15,0.15711385011672974,0.9983667731285095,0.9878959655761719
+WIDEN,Code-Math-Instruction_Tuned,aim,16,0.16869309544563293,0.9983581304550171,0.9860419631004333
+WIDEN,Code-Math-Instruction_Tuned,aim,17,0.1804041713476181,0.9983426332473755,0.9840297102928162
+WIDEN,Code-Math-Instruction_Tuned,aim,18,0.1900262087583542,0.9983289241790771,0.9823077321052551
+WIDEN,Code-Math-Instruction_Tuned,aim,19,0.20122165977954865,0.9983119964599609,0.9802023768424988
+WIDEN,Code-Math-Instruction_Tuned,aim,20,0.21390044689178467,0.9982627034187317,0.9777029752731323
+WIDEN,Code-Math-Instruction_Tuned,aim,21,0.23017434775829315,0.998146653175354,0.9743880033493042
+WIDEN,Code-Math-Instruction_Tuned,aim,22,0.24153828620910645,0.9980298280715942,0.9719704985618591
+WIDEN,Code-Math-Instruction_Tuned,aim,23,0.25311633944511414,0.9978148937225342,0.9694105982780457
+WIDEN,Code-Math-Instruction_Tuned,aim,24,0.2629988491535187,0.9975476264953613,0.9671286344528198
+WIDEN,Code-Math-Instruction_Tuned,aim,25,0.2709445655345917,0.9972020387649536,0.9652805924415588
+WIDEN,Code-Math-Instruction_Tuned,aim,26,0.28052014112472534,0.996558427810669,0.9630004167556763
+WIDEN,Code-Math-Instruction_Tuned,aim,27,0.2858181893825531,0.9962078928947449,0.9616215229034424
+WIDEN,Code-Math-Instruction_Tuned,aim,28,0.299019455909729,0.994913637638092,0.9579305648803711
+WIDEN,Code-Math-Instruction_Tuned,aim,29,0.30373698472976685,0.9943005442619324,0.9565565586090088
+WIDEN,Code-Math-Instruction_Tuned,aim,30,0.3086058795452118,0.9935196042060852,0.9551352858543396
+WIDEN,Code-Math-Instruction_Tuned,aim,31,0.3126635253429413,0.9929742217063904,0.9537811875343323
+WIDEN,Code-Math-Instruction_Tuned,aim,32,0.3179647922515869,0.9920915365219116,0.9520894289016724
+WIDEN,Code-Math-Instruction_Tuned,aim,33,0.322822242975235,0.9913347959518433,0.9504099488258362
+WIDEN,Code-Math-Instruction_Tuned,aim,34,0.3274269104003906,0.9903593063354492,0.948832631111145
+WIDEN,Code-Math-Instruction_Tuned,aim,35,0.33384162187576294,0.9897708892822266,0.9464040398597717
+WIDEN,Code-Math-Instruction_Tuned,aim,36,0.3403397500514984,0.9881548285484314,0.9441691637039185
+WIDEN,Code-Math-Instruction_Tuned,aim,37,0.34589049220085144,0.9841318130493164,0.9422687888145447
+WIDEN,Code-Math-Instruction_Tuned,aim,38,0.3727862238883972,0.9241520166397095,0.9321690797805786
+WIDEN,Code-Math-Instruction_Tuned,aim,39,0.4512598514556885,0.8666729927062988,0.9078184366226196

results/mechanism_logits_s0.csv

@@ -19,3 +19,15 @@ DARETies,Code-Instruction_Tuned,aim,0.052212709747197494,0.23135606585446938
 TaskArithmetic,Math-Instruction_Tuned,merge,0.16305538628543526,0.7302715067695107
 TaskArithmetic,Math-Instruction_Tuned,uniform,0.15237246648982927,0.6855445466855816
 TaskArithmetic,Math-Instruction_Tuned,aim,0.14910630614552517,0.6341559539274912
+DARETaskArithmetic,Math-Instruction_Tuned,merge,0.15582263500736537,0.6873062086352962
+DARETaskArithmetic,Math-Instruction_Tuned,uniform,0.14517880248942217,0.6397193032283195
+DARETaskArithmetic,Math-Instruction_Tuned,aim,0.14528519787530247,0.611457267630225
+WIDEN,Math-Instruction_Tuned,merge,0.10389432804010733,0.4269925540304505
+WIDEN,Math-Instruction_Tuned,uniform,0.09715141837777752,0.40108608345751817
+WIDEN,Math-Instruction_Tuned,aim,0.07944745487276988,0.3248536287939473
+Ties,Code-Math-Instruction_Tuned,merge,0.0290378217286798,0.12104404781623565
+Ties,Code-Math-Instruction_Tuned,uniform,0.026165406007000954,0.10853752753005835
+Ties,Code-Math-Instruction_Tuned,aim,0.02340168861074795,0.09678378726156975
+DARETies,Code-Math-Instruction_Tuned,merge,0.15790995068904817,0.7098179752433407
+DARETies,Code-Math-Instruction_Tuned,uniform,0.147736720038395,0.6637688657194163
+DARETies,Code-Math-Instruction_Tuned,aim,0.14342743851531994,0.6148826686629932

results/mechanism_logits_s1.csv

@@ -22,3 +22,12 @@ Ties,Math-Instruction_Tuned,aim,0.03194359685272065,0.13489511661193593
 DARETies,Math-Instruction_Tuned,merge,0.15161659435785463,0.6873289485144918
 DARETies,Math-Instruction_Tuned,uniform,0.14111224629162067,0.6420743977658465
 DARETies,Math-Instruction_Tuned,aim,0.136825735452024,0.5846292800262997
+TaskArithmetic,Code-Math-Instruction_Tuned,merge,0.17233869030433277,0.7553384977087472
+TaskArithmetic,Code-Math-Instruction_Tuned,uniform,0.16248807154306205,0.7149712043638954
+TaskArithmetic,Code-Math-Instruction_Tuned,aim,0.1557380097510118,0.6549430652966949
+DARETaskArithmetic,Code-Math-Instruction_Tuned,merge,0.16498499976568487,0.7147236138251114
+DARETaskArithmetic,Code-Math-Instruction_Tuned,uniform,0.15490004211952263,0.6664417722567091
+DARETaskArithmetic,Code-Math-Instruction_Tuned,aim,0.1531925715371772,0.64177468547017
+WIDEN,Code-Math-Instruction_Tuned,merge,0.08141566754512933,0.32558421813692096
+WIDEN,Code-Math-Instruction_Tuned,uniform,0.07669653255669373,0.3083025185511956
+WIDEN,Code-Math-Instruction_Tuned,aim,0.06158612801566653,0.24596032077983515

results/mechanism_summary.csv

@@ -1,14 +1,18 @@
 operator,combo,cka_aim,cka_merge,cka_uniform,rel_dev_aim,rel_dev_merge,rel_dev_uniform,rel_dev_last_aim,rel_dev_last_merge,rel_dev_last_uniform,rho_W,delta_norm_merge,col_r2,scalar_r2,omega_hat,frac_cols_protected,cos_daim_dmerge,rho_A_aim,rho_A_uniform,aim_advantage,leverage_aim,leverage_uniform,HV_aim0,HV_aim1,endpoint_scaled_aim0,endpoint_scaled_aim1,d_endpoint,d_HV
 DARETaskArithmetic,Code-Instruction_Tuned,0.9756896287202835,0.9630374073982239,0.9643905878067016,0.2771998148411512,0.3268741406500339,0.31506659537553783,0.4847067892551422,0.5512903332710266,0.5251932740211487,0.9176499738151519,159.66417661286673,0.99918133020401,0.998831033706665,0.3997713923454284,0.0085937501862645,0.9993754029273988,0.8480322557480426,0.9638773955901953,0.11584513984215261,1.8453879287280481,0.4386471514741435,0.27,0.28,0.8677101007854314,1.0130277162489303,0.14531761546349886,0.010000000000000009
 DARETaskArithmetic,Code-Math,0.9910977050662041,0.988602839410305,0.9894919887185096,0.18324254406616086,0.2090091705322265,0.20172548443078991,0.4185748100280761,0.4862115979194641,0.4683610200881958,0.9239000155724518,59.16139609792296,0.9954683780670166,0.9949272871017456,0.3971100151538849,0.008398437872529,0.9972037971019745,0.8767201151966069,0.9651513563596792,0.08843124116307233,1.6199725365353144,0.45793233602431077,0.23,0.23,0.3074711937931504,0.3864465623321503,0.07897536853899989,0.0
+DARETaskArithmetic,Code-Math-Instruction_Tuned,,0.9444771707057953,,,0.41396001614630223,,,0.7553146481513977,,0.9173904689429951,171.68573128342985,0.9991752505302428,0.9988104104995728,0.3998891711235046,0.008398437872529,0.9993661642074585,,,,,,0.16,0.23,-0.08486095700285258,0.4756379204635766,0.5604988774664292,0.07
+DARETaskArithmetic,Math-Instruction_Tuned,0.9691109836101532,0.9561630114912987,0.9578405752778053,0.34087302163243294,0.39771203845739367,0.3832564990967512,0.6550537943840027,0.7468336820602417,0.7131567001342773,0.9174436887029443,171.58406463662405,0.999175488948822,0.9988095164299012,0.3998627662658691,0.008398437872529,0.9993664026260376,0.8570849978657364,0.9636532516925784,0.10656825382684199,1.731121459872694,0.44026613757775623,0.18,0.26,-0.16759740597374276,0.4477559550295213,0.6153533610032641,0.08000000000000002
 DARETies,Code-Instruction_Tuned,0.9789113625884056,0.9662329286336899,0.9668325185775757,0.2706678189337253,0.32205841317772865,0.3108738642185926,0.4778845012187958,0.5441882014274597,0.518933117389679,0.9181009230083443,143.7163607129608,0.9994592666625975,0.9990983605384828,0.3999024033546448,0.008398437872529,0.9995708763599396,0.8404308282558565,0.9652716758777425,0.12484084762188608,1.9483634932833411,0.4240380404506363,0.28,0.29,0.9333375392887172,1.056587292612799,0.12324975332408183,0.009999999999999953
 DARETies,Code-Math,0.9910706728696823,0.9881209120154381,0.9888792544603348,0.18471119441092013,0.21137537630274889,0.20525033446028823,0.4194438755512237,0.486693799495697,0.4706988632678985,0.9255722804078332,53.84098040884433,0.9988551139831544,0.9984451532363892,0.3961411118507385,0.0078125,0.999319702386856,0.8738538880061499,0.9710229169092626,0.09716902890311263,1.6948807874952878,0.389331867878257,0.23,0.24,0.28591042791301174,0.4103131804266525,0.12440275251364075,0.009999999999999981
 DARETies,Math-Instruction_Tuned,0.9701771914958954,0.9561433091759681,0.9573605686426163,0.3404878456145525,0.40017827302217485,0.3855882201343775,0.6446673274040222,0.740707278251648,0.7055617570877075,0.9175358545926346,164.98892229875756,0.999519407749176,0.9991625547409058,0.400023490190506,0.008398437872529,0.99959397315979,0.8508404093084915,0.9635411168687089,0.11270070756021744,1.8087811369980706,0.44211800111657656,0.2,0.26,0.05638794173528461,0.6077769101637202,0.5513889684284355,0.06
 TaskArithmetic,Code-Instruction_Tuned,0.9788408130407333,0.9668349489569664,0.9683743968605996,0.2703720036894083,0.31902736425399775,0.3070830319076776,0.4823709428310394,0.5480541586875916,0.5231333374977112,0.9184718628407592,142.85299811320965,0.9994563460350036,0.9990980625152588,0.3998728990554809,0.008398437872529,0.9995699524879456,0.8474884413806839,0.9625601635325223,0.11507172215183836,1.8706616382198267,0.45922595280633266,0.28,0.28,0.8608331010345852,1.005203974794159,0.1443708737595738,0.0
 TaskArithmetic,Code-Math,0.9910610884428024,0.988736729323864,0.9894404441118241,0.18354407707229253,0.2079064922407269,0.20188838234171272,0.4188976585865021,0.4846141040325165,0.4690428078174591,0.9266383971382084,53.03409525235125,0.998849391937256,0.998461127281189,0.3958191573619842,0.0078125,0.9993224740028381,0.8828203251092993,0.9710537663631684,0.08823344125386912,1.5972889129952548,0.3945692638608832,0.24,0.24,0.3547705078172823,0.40357481522062155,0.04880430740333924,0.0
+TaskArithmetic,Code-Math-Instruction_Tuned,0.9675659328699112,0.9509493231773376,0.9502905383706093,0.34357630088925356,0.405633632466197,0.39416912458837033,0.6637085676193237,0.7532897591590881,0.7205631732940674,0.9178324842098177,153.98103100790325,0.9995138049125672,0.999138355255127,0.3998782336711883,0.008398437872529,0.9995875060558319,0.8470113752657951,0.9717367916261677,0.1247254163603726,1.8619112828586277,0.3439705837767256,0.16,0.22,-0.04029556071195306,0.474629533337602,0.5149250940495551,0.06
 TaskArithmetic,Math-Instruction_Tuned,0.9698800936341285,0.959263214468956,0.962907212972641,0.33807642459869386,0.39210564494132993,0.3748378694057465,0.6524274945259094,0.7443152070045471,0.7111931443214417,0.9178860164511341,153.88853597931606,0.9995135068893432,0.9991387724876404,0.3999322652816772,0.008398437872529,0.9995876252651215,0.8622074916806659,0.9559614207080156,0.09375392902734969,1.6780638615265084,0.5363103504262111,0.18,0.24,-0.11696276428284332,0.36363444649652,0.4805972107793633,0.06
 Ties,Code-Instruction_Tuned,0.9911796778440476,0.9842474162578583,0.9848705530166626,0.22590580526739354,0.26751709580421446,0.25730721950531,0.3948974907398224,0.4485921561717987,0.4268690049648285,0.9207768830559291,133.52170134356285,0.9993883967399596,0.9990370273590088,0.3998082876205444,0.008398437872529,0.9995484352111816,0.8444537145869936,0.9618346772634797,0.11738096267648612,1.9633951731893775,0.4817447761297228,0.0,0.05,-0.019207350248778985,0.007883076430819235,0.02709042667959822,0.05
 Ties,Code-Math,0.99300397336483,0.9912186995148659,0.9917507112026215,0.16238840231671925,0.18338995799422259,0.17841332731768483,0.3445385098457336,0.3989194929599762,0.3863497376441955,0.9307734793125807,49.448445941604184,0.99880850315094,0.9984315633773804,0.3938775062561035,0.0076171876862645,0.9993190765380859,0.8854814303509194,0.9728631233085591,0.08738169295763965,1.6542586354465205,0.39200116403326024,0.2,0.23,0.21736985324982597,0.3515020017556185,0.13413214850579255,0.03
 Ties,Math-Instruction_Tuned,0.9926868349313736,0.988047470152378,0.9888453587889672,0.20530384760349984,0.2414184311404824,0.2327281162142753,0.3978264331817627,0.4501941502094269,0.4315155148506164,0.9196473086677686,122.57332233980341,0.9992867112159728,0.998902142047882,0.3999968767166137,0.008398437872529,0.9995005130767822,0.8504066845005412,0.964003100818967,0.11359641631842576,1.86170883662055,0.4479862290137599,0.23,0.25,1.0284355344477143,1.0865636495633755,0.05812811511566118,0.01999999999999999
 WIDEN,Code-Instruction_Tuned,0.9913797855377198,0.9884805098176003,0.9894277065992355,0.18980246856808658,0.21522565763443705,0.20619298126548524,0.3554377257823944,0.4000407457351684,0.38349050283432,0.9213279698348962,107.30642369075835,0.9980301856994628,0.9976996779441832,0.3956852257251739,0.008398437872529,0.9987808167934418,0.8818765878298209,0.9580316005617978,0.07615501273197689,1.5014664286949406,0.5334602316747878,0.27,0.26,1.020425285183093,1.0102139810430537,-0.010211304140039346,-0.010000000000000009
 WIDEN,Code-Math,0.9956279069185257,0.9945898994803428,0.9948590621352196,0.13331147627905007,0.1499567064456641,0.14682114133611318,0.2879652678966522,0.3282684981822967,0.3200508952140808,0.9352102909624618,40.42382292107673,0.9899214506149292,0.9894462823867798,0.371671974658966,0.0066406251862645,0.994191199541092,0.8889997615902204,0.9790901975385337,0.09009043594831323,1.713238723536598,0.3227333904116085,0.24,0.24,0.5438106350955338,0.5434890767121989,-0.00032155838333491893,0.0
+WIDEN,Math-Instruction_Tuned,,0.9840415135025978,0.9842148780822754,,0.27196276579052203,0.2634418971836566,,0.5549136400222778,0.5335941910743713,0.9205030878351139,116.10916908871566,0.9982672333717346,0.9979044198989868,0.3987025618553161,0.008398437872529,0.9988863170146942,,0.968668988263531,,,0.39411608430129663,0.3,0.31,0.9252516677109935,1.039189980751895,0.1139383130409014,0.010000000000000009

tables/T1_paired_per_checkpoint.csv

@@ -1,66 +1,86 @@
 operator,operator_label,combo,metric,family,without_aim,with_aim,difference,difference_sd_units
-DARETaskArithmetic,DARE Linear,Code-Instruction_Tuned,act_deviation_from_base,representation,0.3268741406500339,0.2771998148411512,-0.0496743258088827,-0.6699388760745099
-DARETaskArithmetic,DARE Linear,Code-Math,act_deviation_from_base,representation,0.2090091705322265,0.18324254406616086,-0.025766626466065645,-0.3475047621445716
-DARETies,DARE TIES,Code-Instruction_Tuned,act_deviation_from_base,representation,0.32205841317772865,0.2706678189337253,-0.05139059424400333,-0.6930855404276527
-DARETies,DARE TIES,Code-Math,act_deviation_from_base,representation,0.21137537630274889,0.18471119441092013,-0.02666418189182876,-0.35960975327145256
-DARETies,DARE TIES,Math-Instruction_Tuned,act_deviation_from_base,representation,0.40017827302217485,0.3404878456145525,-0.05969042740762237,-0.8050222564413522
-TaskArithmetic,Task Arithmetic,Code-Instruction_Tuned,act_deviation_from_base,representation,0.31902736425399775,0.2703720036894083,-0.04865536056458947,-0.6561964765672229
-TaskArithmetic,Task Arithmetic,Code-Math,act_deviation_from_base,representation,0.2079064922407269,0.18354407707229253,-0.024362415168434376,-0.328566694577724
-TaskArithmetic,Task Arithmetic,Math-Instruction_Tuned,act_deviation_from_base,representation,0.39210564494132993,0.33807642459869386,-0.054029220342636075,-0.7286716943233295
-Ties,TIES,Code-Instruction_Tuned,act_deviation_from_base,representation,0.26751709580421446,0.22590580526739354,-0.041611290536820916,-0.5611957638137236
-Ties,TIES,Code-Math,act_deviation_from_base,representation,0.18338995799422259,0.16238840231671925,-0.021001555677503336,-0.2832400516221377
-Ties,TIES,Math-Instruction_Tuned,act_deviation_from_base,representation,0.2414184311404824,0.20530384760349984,-0.03611458353698255,-0.4870637519621583
-WIDEN,WIDEN,Code-Instruction_Tuned,act_deviation_from_base,representation,0.21522565763443705,0.18980246856808658,-0.025423189066350466,-0.3428729516102453
-WIDEN,WIDEN,Code-Math,act_deviation_from_base,representation,0.1499567064456641,0.13331147627905007,-0.01664523016661404,-0.22448793432499642
-DARETaskArithmetic,DARE Linear,Code-Instruction_Tuned,cka_to_base,representation,0.9630374073982239,0.9756896287202835,0.012652221322059676,1.0451758388084251
-DARETaskArithmetic,DARE Linear,Code-Math,cka_to_base,representation,0.988602839410305,0.9910977050662041,0.00249486565589907,0.2060960868643856
-DARETies,DARE TIES,Code-Instruction_Tuned,cka_to_base,representation,0.9662329286336899,0.9789113625884056,0.012678433954715684,1.047341214328363
-DARETies,DARE TIES,Code-Math,cka_to_base,representation,0.9881209120154381,0.9910706728696823,0.0029497608542442544,0.24367411039068876
-DARETies,DARE TIES,Math-Instruction_Tuned,cka_to_base,representation,0.9561433091759681,0.9701771914958954,0.014033882319927304,1.1593122149937969
-TaskArithmetic,Task Arithmetic,Code-Instruction_Tuned,cka_to_base,representation,0.9668349489569664,0.9788408130407333,0.012005864083766915,0.9917815018373614
-TaskArithmetic,Task Arithmetic,Code-Math,cka_to_base,representation,0.988736729323864,0.9910610884428024,0.0023243591189383572,0.1920108674982402
-TaskArithmetic,Task Arithmetic,Math-Instruction_Tuned,cka_to_base,representation,0.959263214468956,0.9698800936341285,0.01061687916517251,0.8770401105487817
-Ties,TIES,Code-Instruction_Tuned,cka_to_base,representation,0.9842474162578583,0.9911796778440476,0.006932261586189314,0.5726608896377846
-Ties,TIES,Code-Math,cka_to_base,representation,0.9912186995148659,0.99300397336483,0.0017852738499641863,0.14747806303275354
-Ties,TIES,Math-Instruction_Tuned,cka_to_base,representation,0.988047470152378,0.9926868349313736,0.004639364778995514,0.3832490636225712
-WIDEN,WIDEN,Code-Instruction_Tuned,cka_to_base,representation,0.9884805098176003,0.9913797855377198,0.0028992757201194985,0.23950362988271676
-WIDEN,WIDEN,Code-Math,cka_to_base,representation,0.9945898994803428,0.9956279069185257,0.0010380074381828308,0.08574781196725953
-DARETaskArithmetic,DARE Linear,Code-Instruction_Tuned,qmd_raw_from_base,weight space,0.07540532551926302,0.06918316821085496,-0.006222157308408055,-0.29043873313187907
-DARETaskArithmetic,DARE Linear,Code-Math,qmd_raw_from_base,weight space,0.027830858351205065,0.025713600634237572,-0.002117257716967493,-0.09882965321348725
-DARETies,DARE TIES,Code-Instruction_Tuned,qmd_raw_from_base,weight space,0.06789361068416809,0.06231974267677706,-0.005573868007391028,-0.2601777940463466
-DARETies,DARE TIES,Code-Math,qmd_raw_from_base,weight space,0.02532894138283997,0.023444206348130697,-0.0018847350347092721,-0.08797592677872716
-DARETies,DARE TIES,Math-Instruction_Tuned,qmd_raw_from_base,weight space,0.07794717115598046,0.0715050015495038,-0.006442169606476658,-0.30070849809557254
-TaskArithmetic,Task Arithmetic,Code-Instruction_Tuned,qmd_raw_from_base,weight space,0.06748542751022336,0.06197007668653693,-0.005515350823686434,-0.25744632072299595
-TaskArithmetic,Task Arithmetic,Code-Math,qmd_raw_from_base,weight space,0.02494948531349566,0.023119563194417308,-0.0018299221190783525,-0.08541736180101496
-TaskArithmetic,Task Arithmetic,Math-Instruction_Tuned,qmd_raw_from_base,weight space,0.07268515892821595,0.06670400911641289,-0.00598114981180306,-0.279188951340819
-Ties,TIES,Code-Instruction_Tuned,qmd_raw_from_base,weight space,0.06307845715669955,0.058067960792707346,-0.005010496363992201,-0.23388065331509694
-Ties,TIES,Code-Math,qmd_raw_from_base,weight space,0.02326307511752211,0.021652956885821834,-0.0016101182317002777,-0.07515732506081822
-Ties,TIES,Math-Instruction_Tuned,qmd_raw_from_base,weight space,0.05786696753653783,0.05320746697291281,-0.004659500563625026,-0.21749682202630968
-WIDEN,WIDEN,Code-Instruction_Tuned,qmd_raw_from_base,weight space,0.050647287040768006,0.0466550100292541,-0.003992277011513903,-0.18635206730771076
-WIDEN,WIDEN,Code-Math,qmd_raw_from_base,weight space,0.019018005658702125,0.017786045338737237,-0.0012319603199648886,-0.05750561692097309
-DARETaskArithmetic,DARE Linear,Code-Instruction_Tuned,beh_js_to_base,behaviour,0.0675294344035755,0.054332467446118,-0.013196966957457507,-0.33711217635934265
-DARETaskArithmetic,DARE Linear,Code-Math,beh_js_to_base,behaviour,0.0701002699547847,0.0596478397893982,-0.010452430165386502,-0.2670038875338931
-DARETies,DARE TIES,Code-Instruction_Tuned,beh_js_to_base,behaviour,0.0645529807269808,0.0522127097471974,-0.012340270979783408,-0.31522815964224316
-DARETies,DARE TIES,Code-Math,beh_js_to_base,behaviour,0.0705667963771806,0.0605886174584691,-0.009978178918711493,-0.25488929556566825
-DARETies,DARE TIES,Math-Instruction_Tuned,beh_js_to_base,behaviour,0.1516165943578546,0.136825735452024,-0.014790858905830595,-0.37782762145591836
-TaskArithmetic,Task Arithmetic,Code-Instruction_Tuned,beh_js_to_base,behaviour,0.0670005273723255,0.0541176966435751,-0.012882830728750391,-0.3290876698136982
-TaskArithmetic,Task Arithmetic,Code-Math,beh_js_to_base,behaviour,0.0707630679739104,0.0605505583717166,-0.010212509602193796,-0.26087519573130075
-TaskArithmetic,Task Arithmetic,Math-Instruction_Tuned,beh_js_to_base,behaviour,0.1630553862854352,0.1491063061455251,-0.013949080139910086,-0.3563246600021742
-Ties,TIES,Code-Instruction_Tuned,beh_js_to_base,behaviour,0.0401827128762879,0.0320304306451685,-0.008152282231119398,-0.20824736578394265
-Ties,TIES,Code-Math,beh_js_to_base,behaviour,0.0486724480616445,0.0419355507932006,-0.006736897268443905,-0.17209182287078922
-Ties,TIES,Math-Instruction_Tuned,beh_js_to_base,behaviour,0.0397027983565525,0.0319435968527206,-0.0077592015038319,-0.19820624801135325
-WIDEN,WIDEN,Code-Instruction_Tuned,beh_js_to_base,behaviour,0.0363831441722982,0.0279335037242935,-0.008449640448004704,-0.21584328354108248
-WIDEN,WIDEN,Code-Math,beh_js_to_base,behaviour,0.0365018882611834,0.0305083815052392,-0.005993506755944199,-0.1531021569603167
-DARETaskArithmetic,DARE Linear,Code-Instruction_Tuned,beh_kl_to_base,behaviour,0.3067125690407576,0.2416893078428814,-0.06502326119787621,-0.37333303004001184
-DARETaskArithmetic,DARE Linear,Code-Math,beh_kl_to_base,behaviour,0.3002615200469781,0.2594705143337791,-0.04079100571319899,-0.23420279882525194
-DARETies,DARE TIES,Code-Instruction_Tuned,beh_kl_to_base,behaviour,0.2927892901591197,0.2313560658544693,-0.0614332243046504,-0.3527207241265213
-DARETies,DARE TIES,Code-Math,beh_kl_to_base,behaviour,0.3048238893372912,0.2638059280120493,-0.041017961325241936,-0.23550587136833356
-DARETies,DARE TIES,Math-Instruction_Tuned,beh_kl_to_base,behaviour,0.6873289485144918,0.5846292800262997,-0.10269966848819212,-0.5896532673764721
-TaskArithmetic,Task Arithmetic,Code-Instruction_Tuned,beh_kl_to_base,behaviour,0.304607594224647,0.2406390341662837,-0.0639685600583633,-0.36727743139812347
-TaskArithmetic,Task Arithmetic,Code-Math,beh_kl_to_base,behaviour,0.303996269463866,0.2630344646865175,-0.04096180477734851,-0.2351834468421653
-TaskArithmetic,Task Arithmetic,Math-Instruction_Tuned,beh_kl_to_base,behaviour,0.7302715067695107,0.6341559539274912,-0.09611555284201945,-0.5518503673213795
-Ties,TIES,Code-Instruction_Tuned,beh_kl_to_base,behaviour,0.1751193129121662,0.1364185276023318,-0.038700785309834396,-0.222201734863467
-Ties,TIES,Code-Math,beh_kl_to_base,behaviour,0.2104004919723689,0.1810295336203008,-0.0293709583520681,-0.16863424987848377
-Ties,TIES,Math-Instruction_Tuned,beh_kl_to_base,behaviour,0.1695624375570265,0.1348951166119359,-0.03466732094509059,-0.1990434766477533
-WIDEN,WIDEN,Code-Instruction_Tuned,beh_kl_to_base,behaviour,0.1487084594954175,0.1135898635347647,-0.035118595960652796,-0.20163448586257093
-WIDEN,WIDEN,Code-Math,beh_kl_to_base,behaviour,0.1526036240678989,0.127567749296493,-0.025035874771405897,-0.14374423576922243
+DARETaskArithmetic,DARE Linear,Code-Instruction_Tuned,act_deviation_from_base,representation,0.3268741406500339,0.2771998148411512,-0.0496743258088827,-0.5930596180124549
+DARETaskArithmetic,DARE Linear,Code-Math,act_deviation_from_base,representation,0.2090091705322265,0.18324254406616086,-0.025766626466065645,-0.3076266340931787
+DARETaskArithmetic,DARE Linear,Code-Math-Instruction_Tuned,act_deviation_from_base,representation,0.41396001614630223,,,
+DARETaskArithmetic,DARE Linear,Math-Instruction_Tuned,act_deviation_from_base,representation,0.39771203845739367,0.34087302163243294,-0.05683901682496073,-0.6785985528239806
+DARETies,DARE TIES,Code-Instruction_Tuned,act_deviation_from_base,representation,0.32205841317772865,0.2706678189337253,-0.05139059424400333,-0.6135500723057966
+DARETies,DARE TIES,Code-Math,act_deviation_from_base,representation,0.21137537630274889,0.18471119441092013,-0.02666418189182876,-0.31834250933215164
+DARETies,DARE TIES,Math-Instruction_Tuned,act_deviation_from_base,representation,0.40017827302217485,0.3404878456145525,-0.05969042740762237,-0.7126414199069917
+TaskArithmetic,Task Arithmetic,Code-Instruction_Tuned,act_deviation_from_base,representation,0.31902736425399775,0.2703720036894083,-0.04865536056458947,-0.5808942362240129
+TaskArithmetic,Task Arithmetic,Code-Math,act_deviation_from_base,representation,0.2079064922407269,0.18354407707229253,-0.024362415168434376,-0.29086181640876724
+TaskArithmetic,Task Arithmetic,Code-Math-Instruction_Tuned,act_deviation_from_base,representation,0.405633632466197,0.34357630088925356,-0.06205733157694343,-0.7408997859677672
+TaskArithmetic,Task Arithmetic,Math-Instruction_Tuned,act_deviation_from_base,representation,0.39210564494132993,0.33807642459869386,-0.054029220342636075,-0.6450525146772037
+Ties,TIES,Code-Instruction_Tuned,act_deviation_from_base,representation,0.26751709580421446,0.22590580526739354,-0.041611290536820916,-0.4967953901522184
+Ties,TIES,Code-Math,act_deviation_from_base,representation,0.18338995799422259,0.16238840231671925,-0.021001555677503336,-0.2507366609400507
+Ties,TIES,Math-Instruction_Tuned,act_deviation_from_base,representation,0.2414184311404824,0.20530384760349984,-0.03611458353698255,-0.4311704440544577
+WIDEN,WIDEN,Code-Instruction_Tuned,act_deviation_from_base,representation,0.21522565763443705,0.18980246856808658,-0.025423189066350466,-0.30352634989667227
+WIDEN,WIDEN,Code-Math,act_deviation_from_base,representation,0.1499567064456641,0.13331147627905007,-0.01664523016661404,-0.1987266799014368
+WIDEN,WIDEN,Math-Instruction_Tuned,act_deviation_from_base,representation,0.27196276579052203,,,
+DARETaskArithmetic,DARE Linear,Code-Instruction_Tuned,cka_to_base,representation,0.9630374073982239,0.9756896287202835,0.012652221322059676,0.8638272090256298
+DARETaskArithmetic,DARE Linear,Code-Math,cka_to_base,representation,0.988602839410305,0.9910977050662041,0.00249486565589907,0.17033632131233958
+DARETaskArithmetic,DARE Linear,Code-Math-Instruction_Tuned,cka_to_base,representation,0.9444771707057953,,,
+DARETaskArithmetic,DARE Linear,Math-Instruction_Tuned,cka_to_base,representation,0.9561630114912987,0.9691109836101532,0.012947972118854567,0.8840195198348788
+DARETies,DARE TIES,Code-Instruction_Tuned,cka_to_base,representation,0.9662329286336899,0.9789113625884056,0.012678433954715684,0.8656168698869185
+DARETies,DARE TIES,Code-Math,cka_to_base,representation,0.9881209120154381,0.9910706728696823,0.0029497608542442544,0.2013941758647694
+DARETies,DARE TIES,Math-Instruction_Tuned,cka_to_base,representation,0.9561433091759681,0.9701771914958954,0.014033882319927304,0.9581597640155283
+TaskArithmetic,Task Arithmetic,Code-Instruction_Tuned,cka_to_base,representation,0.9668349489569664,0.9788408130407333,0.012005864083766915,0.8196973321466616
+TaskArithmetic,Task Arithmetic,Code-Math,cka_to_base,representation,0.988736729323864,0.9910610884428024,0.0023243591189383572,0.15869503064928464
+TaskArithmetic,Task Arithmetic,Code-Math-Instruction_Tuned,cka_to_base,representation,0.9509493231773376,0.9675659328699112,0.016616609692573614,1.1344948218047297
+TaskArithmetic,Task Arithmetic,Math-Instruction_Tuned,cka_to_base,representation,0.959263214468956,0.9698800936341285,0.01061687916517251,0.7248647383225146
+Ties,TIES,Code-Instruction_Tuned,cka_to_base,representation,0.9842474162578583,0.9911796778440476,0.006932261586189314,0.4732984055371124
+Ties,TIES,Code-Math,cka_to_base,representation,0.9912186995148659,0.99300397336483,0.0017852738499641863,0.12188912032957955
+Ties,TIES,Math-Instruction_Tuned,cka_to_base,representation,0.988047470152378,0.9926868349313736,0.004639364778995514,0.3167514562604171
+WIDEN,WIDEN,Code-Instruction_Tuned,cka_to_base,representation,0.9884805098176003,0.9913797855377198,0.0028992757201194985,0.19794731610803754
+WIDEN,WIDEN,Code-Math,cka_to_base,representation,0.9945898994803428,0.9956279069185257,0.0010380074381828308,0.07086969516648876
+WIDEN,WIDEN,Math-Instruction_Tuned,cka_to_base,representation,0.9840415135025978,,,
+DARETaskArithmetic,DARE Linear,Code-Instruction_Tuned,qmd_raw_from_base,weight space,0.07540532551926302,0.06918316821085496,-0.006222157308408055,-0.2906148995930123
+DARETaskArithmetic,DARE Linear,Code-Math,qmd_raw_from_base,weight space,0.027830858351205065,0.025713600634237572,-0.002117257716967493,-0.09888959862804646
+DARETaskArithmetic,DARE Linear,Code-Math-Instruction_Tuned,qmd_raw_from_base,weight space,0.08106394490993216,0.07435638722862838,-0.00670755768130378,-0.3132862294291899
+DARETaskArithmetic,DARE Linear,Math-Instruction_Tuned,qmd_raw_from_base,weight space,0.08101604946480126,0.07431673551507964,-0.006699313949721619,-0.31290119396523847
+DARETies,DARE TIES,Code-Instruction_Tuned,qmd_raw_from_base,weight space,0.06789361068416809,0.06231974267677706,-0.005573868007391028,-0.26033560564657066
+DARETies,DARE TIES,Code-Math,qmd_raw_from_base,weight space,0.02532894138283997,0.023444206348130697,-0.0018847350347092721,-0.08802928883384425
+DARETies,DARE TIES,Math-Instruction_Tuned,qmd_raw_from_base,weight space,0.07794717115598046,0.0715050015495038,-0.006442169606476658,-0.3008908937126135
+TaskArithmetic,Task Arithmetic,Code-Instruction_Tuned,qmd_raw_from_base,weight space,0.06748542751022336,0.06197007668653693,-0.005515350823686434,-0.25760247554010485
+TaskArithmetic,Task Arithmetic,Code-Math,qmd_raw_from_base,weight space,0.02494948531349566,0.023119563194417308,-0.0018299221190783525,-0.08546917195107848
+TaskArithmetic,Task Arithmetic,Code-Math-Instruction_Tuned,qmd_raw_from_base,weight space,0.07272877584972695,0.06674016389376215,-0.005988611955964798,-0.2797068245015973
+TaskArithmetic,Task Arithmetic,Math-Instruction_Tuned,qmd_raw_from_base,weight space,0.07268515892821595,0.06670400911641289,-0.00598114981180306,-0.27935829421397795
+Ties,TIES,Code-Instruction_Tuned,qmd_raw_from_base,weight space,0.06307845715669955,0.058067960792707346,-0.005010496363992201,-0.23402251430787074
+Ties,TIES,Code-Math,qmd_raw_from_base,weight space,0.02326307511752211,0.021652956885821834,-0.0016101182317002777,-0.07520291195565636
+Ties,TIES,Math-Instruction_Tuned,qmd_raw_from_base,weight space,0.05786696753653783,0.05320746697291281,-0.004659500563625026,-0.21762874535840432
+WIDEN,WIDEN,Code-Instruction_Tuned,qmd_raw_from_base,weight space,0.050647287040768006,0.0466550100292541,-0.003992277011513903,-0.18646509969794486
+WIDEN,WIDEN,Code-Math,qmd_raw_from_base,weight space,0.019018005658702125,0.017786045338737237,-0.0012319603199648886,-0.057540497120728167
+WIDEN,WIDEN,Math-Instruction_Tuned,qmd_raw_from_base,weight space,0.05479621414229463,0.05043220024105492,-0.004364013901239708,-0.20382761136840655
+DARETaskArithmetic,DARE Linear,Code-Instruction_Tuned,beh_js_to_base,behaviour,0.0675294344035755,0.054332467446118,-0.013196966957457507,-0.2677489559243083
+DARETaskArithmetic,DARE Linear,Code-Math,beh_js_to_base,behaviour,0.0701002699547847,0.0596478397893982,-0.010452430165386502,-0.21206594459740596
+DARETaskArithmetic,DARE Linear,Code-Math-Instruction_Tuned,beh_js_to_base,behaviour,0.1649849997656848,,,
+DARETaskArithmetic,DARE Linear,Math-Instruction_Tuned,beh_js_to_base,behaviour,0.1558226350073653,0.1452851978753024,-0.010537437132062899,-0.2137906232032758
+DARETies,DARE TIES,Code-Instruction_Tuned,beh_js_to_base,behaviour,0.0645529807269808,0.0522127097471974,-0.012340270979783408,-0.2503677308059735
+DARETies,DARE TIES,Code-Math,beh_js_to_base,behaviour,0.0705667963771806,0.0605886174584691,-0.009978178918711493,-0.2024440158199546
+DARETies,DARE TIES,Math-Instruction_Tuned,beh_js_to_base,behaviour,0.1516165943578546,0.136825735452024,-0.014790858905830595,-0.30008690951688705
+TaskArithmetic,Task Arithmetic,Code-Instruction_Tuned,beh_js_to_base,behaviour,0.0670005273723255,0.0541176966435751,-0.012882830728750391,-0.26137554849474737
+TaskArithmetic,Task Arithmetic,Code-Math,beh_js_to_base,behaviour,0.0707630679739104,0.0605505583717166,-0.010212509602193796,-0.207198274586054
+TaskArithmetic,Task Arithmetic,Code-Math-Instruction_Tuned,beh_js_to_base,behaviour,0.1723386903043327,0.1557380097510118,-0.016600680553320896,-0.3368057903087275
+TaskArithmetic,Task Arithmetic,Math-Instruction_Tuned,beh_js_to_base,behaviour,0.1630553862854352,0.1491063061455251,-0.013949080139910086,-0.28300833483976356
+Ties,TIES,Code-Instruction_Tuned,beh_js_to_base,behaviour,0.0401827128762879,0.0320304306451685,-0.008152282231119398,-0.16539899378538986
+Ties,TIES,Code-Math,beh_js_to_base,behaviour,0.0486724480616445,0.0419355507932006,-0.006736897268443905,-0.13668271017196626
+Ties,TIES,Math-Instruction_Tuned,beh_js_to_base,behaviour,0.0397027983565525,0.0319435968527206,-0.0077592015038319,-0.1574239071867437
+WIDEN,WIDEN,Code-Instruction_Tuned,beh_js_to_base,behaviour,0.0363831441722982,0.0279335037242935,-0.008449640448004704,-0.1714319976084057
+WIDEN,WIDEN,Code-Math,beh_js_to_base,behaviour,0.0365018882611834,0.0305083815052392,-0.005993506755944199,-0.12160030266064371
+WIDEN,WIDEN,Math-Instruction_Tuned,beh_js_to_base,behaviour,0.1038943280401073,,,
+DARETaskArithmetic,DARE Linear,Code-Instruction_Tuned,beh_kl_to_base,behaviour,0.3067125690407576,0.2416893078428814,-0.06502326119787621,-0.3022651633152543
+DARETaskArithmetic,DARE Linear,Code-Math,beh_kl_to_base,behaviour,0.3002615200469781,0.2594705143337791,-0.04079100571319899,-0.18961983414169756
+DARETaskArithmetic,DARE Linear,Code-Math-Instruction_Tuned,beh_kl_to_base,behaviour,0.7147236138251114,,,
+DARETaskArithmetic,DARE Linear,Math-Instruction_Tuned,beh_kl_to_base,behaviour,0.6873062086352962,0.611457267630225,-0.07584894100507122,-0.3525890907012177
+DARETies,DARE TIES,Code-Instruction_Tuned,beh_kl_to_base,behaviour,0.2927892901591197,0.2313560658544693,-0.0614332243046504,-0.2855766265078428
+DARETies,DARE TIES,Code-Math,beh_kl_to_base,behaviour,0.3048238893372912,0.2638059280120493,-0.041017961325241936,-0.19067485312837543
+DARETies,DARE TIES,Math-Instruction_Tuned,beh_kl_to_base,behaviour,0.6873289485144918,0.5846292800262997,-0.10269966848819212,-0.4774065695280719
+TaskArithmetic,Task Arithmetic,Code-Instruction_Tuned,beh_kl_to_base,behaviour,0.304607594224647,0.2406390341662837,-0.0639685600583633,-0.2973623115309752
+TaskArithmetic,Task Arithmetic,Code-Math,beh_kl_to_base,behaviour,0.303996269463866,0.2630344646865175,-0.04096180477734851,-0.1904138055000725
+TaskArithmetic,Task Arithmetic,Code-Math-Instruction_Tuned,beh_kl_to_base,behaviour,0.7553384977087472,0.6549430652966949,-0.10039543241205229,-0.46669516746917217
+TaskArithmetic,Task Arithmetic,Math-Instruction_Tuned,beh_kl_to_base,behaviour,0.7302715067695107,0.6341559539274912,-0.09611555284201945,-0.44679984888050917
+Ties,TIES,Code-Instruction_Tuned,beh_kl_to_base,behaviour,0.1751193129121662,0.1364185276023318,-0.038700785309834396,-0.17990329885957437
+Ties,TIES,Code-Math,beh_kl_to_base,behaviour,0.2104004919723689,0.1810295336203008,-0.0293709583520681,-0.1365329477399907
+Ties,TIES,Math-Instruction_Tuned,beh_kl_to_base,behaviour,0.1695624375570265,0.1348951166119359,-0.03466732094509059,-0.1611534585335809
+WIDEN,WIDEN,Code-Instruction_Tuned,beh_kl_to_base,behaviour,0.1487084594954175,0.1135898635347647,-0.035118595960652796,-0.16325124190780912
+WIDEN,WIDEN,Code-Math,beh_kl_to_base,behaviour,0.1526036240678989,0.127567749296493,-0.025035874771405897,-0.1163810094589108
+WIDEN,WIDEN,Math-Instruction_Tuned,beh_kl_to_base,behaviour,0.4269925540304505,,,

tables/T1b_paired_mechanism_per_checkpoint.csv

@@ -1,66 +1,86 @@
 operator,operator_label,combo,metric,family,without_aim,with_aim,difference,difference_sd_units
-DARETaskArithmetic,DARE Linear,Code-Instruction_Tuned,act_deviation_from_base,representation,0.3268741406500339,0.2771998148411512,-0.0496743258088827,-0.6699388760745099
-DARETaskArithmetic,DARE Linear,Code-Math,act_deviation_from_base,representation,0.2090091705322265,0.18324254406616086,-0.025766626466065645,-0.3475047621445716
-DARETies,DARE TIES,Code-Instruction_Tuned,act_deviation_from_base,representation,0.32205841317772865,0.2706678189337253,-0.05139059424400333,-0.6930855404276527
-DARETies,DARE TIES,Code-Math,act_deviation_from_base,representation,0.21137537630274889,0.18471119441092013,-0.02666418189182876,-0.35960975327145256
-DARETies,DARE TIES,Math-Instruction_Tuned,act_deviation_from_base,representation,0.40017827302217485,0.3404878456145525,-0.05969042740762237,-0.8050222564413522
-TaskArithmetic,Task Arithmetic,Code-Instruction_Tuned,act_deviation_from_base,representation,0.31902736425399775,0.2703720036894083,-0.04865536056458947,-0.6561964765672229
-TaskArithmetic,Task Arithmetic,Code-Math,act_deviation_from_base,representation,0.2079064922407269,0.18354407707229253,-0.024362415168434376,-0.328566694577724
-TaskArithmetic,Task Arithmetic,Math-Instruction_Tuned,act_deviation_from_base,representation,0.39210564494132993,0.33807642459869386,-0.054029220342636075,-0.7286716943233295
-Ties,TIES,Code-Instruction_Tuned,act_deviation_from_base,representation,0.26751709580421446,0.22590580526739354,-0.041611290536820916,-0.5611957638137236
-Ties,TIES,Code-Math,act_deviation_from_base,representation,0.18338995799422259,0.16238840231671925,-0.021001555677503336,-0.2832400516221377
-Ties,TIES,Math-Instruction_Tuned,act_deviation_from_base,representation,0.2414184311404824,0.20530384760349984,-0.03611458353698255,-0.4870637519621583
-WIDEN,WIDEN,Code-Instruction_Tuned,act_deviation_from_base,representation,0.21522565763443705,0.18980246856808658,-0.025423189066350466,-0.3428729516102453
-WIDEN,WIDEN,Code-Math,act_deviation_from_base,representation,0.1499567064456641,0.13331147627905007,-0.01664523016661404,-0.22448793432499642
-DARETaskArithmetic,DARE Linear,Code-Instruction_Tuned,cka_to_base,representation,0.9630374073982239,0.9756896287202835,0.012652221322059676,1.0451758388084251
-DARETaskArithmetic,DARE Linear,Code-Math,cka_to_base,representation,0.988602839410305,0.9910977050662041,0.00249486565589907,0.2060960868643856
-DARETies,DARE TIES,Code-Instruction_Tuned,cka_to_base,representation,0.9662329286336899,0.9789113625884056,0.012678433954715684,1.047341214328363
-DARETies,DARE TIES,Code-Math,cka_to_base,representation,0.9881209120154381,0.9910706728696823,0.0029497608542442544,0.24367411039068876
-DARETies,DARE TIES,Math-Instruction_Tuned,cka_to_base,representation,0.9561433091759681,0.9701771914958954,0.014033882319927304,1.1593122149937969
-TaskArithmetic,Task Arithmetic,Code-Instruction_Tuned,cka_to_base,representation,0.9668349489569664,0.9788408130407333,0.012005864083766915,0.9917815018373614
-TaskArithmetic,Task Arithmetic,Code-Math,cka_to_base,representation,0.988736729323864,0.9910610884428024,0.0023243591189383572,0.1920108674982402
-TaskArithmetic,Task Arithmetic,Math-Instruction_Tuned,cka_to_base,representation,0.959263214468956,0.9698800936341285,0.01061687916517251,0.8770401105487817
-Ties,TIES,Code-Instruction_Tuned,cka_to_base,representation,0.9842474162578583,0.9911796778440476,0.006932261586189314,0.5726608896377846
-Ties,TIES,Code-Math,cka_to_base,representation,0.9912186995148659,0.99300397336483,0.0017852738499641863,0.14747806303275354
-Ties,TIES,Math-Instruction_Tuned,cka_to_base,representation,0.988047470152378,0.9926868349313736,0.004639364778995514,0.3832490636225712
-WIDEN,WIDEN,Code-Instruction_Tuned,cka_to_base,representation,0.9884805098176003,0.9913797855377198,0.0028992757201194985,0.23950362988271676
-WIDEN,WIDEN,Code-Math,cka_to_base,representation,0.9945898994803428,0.9956279069185257,0.0010380074381828308,0.08574781196725953
-DARETaskArithmetic,DARE Linear,Code-Instruction_Tuned,qmd_raw_from_base,weight space,0.07540532551926302,0.06918316821085496,-0.006222157308408055,-0.29043873313187907
-DARETaskArithmetic,DARE Linear,Code-Math,qmd_raw_from_base,weight space,0.027830858351205065,0.025713600634237572,-0.002117257716967493,-0.09882965321348725
-DARETies,DARE TIES,Code-Instruction_Tuned,qmd_raw_from_base,weight space,0.06789361068416809,0.06231974267677706,-0.005573868007391028,-0.2601777940463466
-DARETies,DARE TIES,Code-Math,qmd_raw_from_base,weight space,0.02532894138283997,0.023444206348130697,-0.0018847350347092721,-0.08797592677872716
-DARETies,DARE TIES,Math-Instruction_Tuned,qmd_raw_from_base,weight space,0.07794717115598046,0.0715050015495038,-0.006442169606476658,-0.30070849809557254
-TaskArithmetic,Task Arithmetic,Code-Instruction_Tuned,qmd_raw_from_base,weight space,0.06748542751022336,0.06197007668653693,-0.005515350823686434,-0.25744632072299595
-TaskArithmetic,Task Arithmetic,Code-Math,qmd_raw_from_base,weight space,0.02494948531349566,0.023119563194417308,-0.0018299221190783525,-0.08541736180101496
-TaskArithmetic,Task Arithmetic,Math-Instruction_Tuned,qmd_raw_from_base,weight space,0.07268515892821595,0.06670400911641289,-0.00598114981180306,-0.279188951340819
-Ties,TIES,Code-Instruction_Tuned,qmd_raw_from_base,weight space,0.06307845715669955,0.058067960792707346,-0.005010496363992201,-0.23388065331509694
-Ties,TIES,Code-Math,qmd_raw_from_base,weight space,0.02326307511752211,0.021652956885821834,-0.0016101182317002777,-0.07515732506081822
-Ties,TIES,Math-Instruction_Tuned,qmd_raw_from_base,weight space,0.05786696753653783,0.05320746697291281,-0.004659500563625026,-0.21749682202630968
-WIDEN,WIDEN,Code-Instruction_Tuned,qmd_raw_from_base,weight space,0.050647287040768006,0.0466550100292541,-0.003992277011513903,-0.18635206730771076
-WIDEN,WIDEN,Code-Math,qmd_raw_from_base,weight space,0.019018005658702125,0.017786045338737237,-0.0012319603199648886,-0.05750561692097309
-DARETaskArithmetic,DARE Linear,Code-Instruction_Tuned,beh_js_to_base,behaviour,0.0675294344035755,0.054332467446118,-0.013196966957457507,-0.33711217635934265
-DARETaskArithmetic,DARE Linear,Code-Math,beh_js_to_base,behaviour,0.0701002699547847,0.0596478397893982,-0.010452430165386502,-0.2670038875338931
-DARETies,DARE TIES,Code-Instruction_Tuned,beh_js_to_base,behaviour,0.0645529807269808,0.0522127097471974,-0.012340270979783408,-0.31522815964224316
-DARETies,DARE TIES,Code-Math,beh_js_to_base,behaviour,0.0705667963771806,0.0605886174584691,-0.009978178918711493,-0.25488929556566825
-DARETies,DARE TIES,Math-Instruction_Tuned,beh_js_to_base,behaviour,0.1516165943578546,0.136825735452024,-0.014790858905830595,-0.37782762145591836
-TaskArithmetic,Task Arithmetic,Code-Instruction_Tuned,beh_js_to_base,behaviour,0.0670005273723255,0.0541176966435751,-0.012882830728750391,-0.3290876698136982
-TaskArithmetic,Task Arithmetic,Code-Math,beh_js_to_base,behaviour,0.0707630679739104,0.0605505583717166,-0.010212509602193796,-0.26087519573130075
-TaskArithmetic,Task Arithmetic,Math-Instruction_Tuned,beh_js_to_base,behaviour,0.1630553862854352,0.1491063061455251,-0.013949080139910086,-0.3563246600021742
-Ties,TIES,Code-Instruction_Tuned,beh_js_to_base,behaviour,0.0401827128762879,0.0320304306451685,-0.008152282231119398,-0.20824736578394265
-Ties,TIES,Code-Math,beh_js_to_base,behaviour,0.0486724480616445,0.0419355507932006,-0.006736897268443905,-0.17209182287078922
-Ties,TIES,Math-Instruction_Tuned,beh_js_to_base,behaviour,0.0397027983565525,0.0319435968527206,-0.0077592015038319,-0.19820624801135325
-WIDEN,WIDEN,Code-Instruction_Tuned,beh_js_to_base,behaviour,0.0363831441722982,0.0279335037242935,-0.008449640448004704,-0.21584328354108248
-WIDEN,WIDEN,Code-Math,beh_js_to_base,behaviour,0.0365018882611834,0.0305083815052392,-0.005993506755944199,-0.1531021569603167
-DARETaskArithmetic,DARE Linear,Code-Instruction_Tuned,beh_kl_to_base,behaviour,0.3067125690407576,0.2416893078428814,-0.06502326119787621,-0.37333303004001184
-DARETaskArithmetic,DARE Linear,Code-Math,beh_kl_to_base,behaviour,0.3002615200469781,0.2594705143337791,-0.04079100571319899,-0.23420279882525194
-DARETies,DARE TIES,Code-Instruction_Tuned,beh_kl_to_base,behaviour,0.2927892901591197,0.2313560658544693,-0.0614332243046504,-0.3527207241265213
-DARETies,DARE TIES,Code-Math,beh_kl_to_base,behaviour,0.3048238893372912,0.2638059280120493,-0.041017961325241936,-0.23550587136833356
-DARETies,DARE TIES,Math-Instruction_Tuned,beh_kl_to_base,behaviour,0.6873289485144918,0.5846292800262997,-0.10269966848819212,-0.5896532673764721
-TaskArithmetic,Task Arithmetic,Code-Instruction_Tuned,beh_kl_to_base,behaviour,0.304607594224647,0.2406390341662837,-0.0639685600583633,-0.36727743139812347
-TaskArithmetic,Task Arithmetic,Code-Math,beh_kl_to_base,behaviour,0.303996269463866,0.2630344646865175,-0.04096180477734851,-0.2351834468421653
-TaskArithmetic,Task Arithmetic,Math-Instruction_Tuned,beh_kl_to_base,behaviour,0.7302715067695107,0.6341559539274912,-0.09611555284201945,-0.5518503673213795
-Ties,TIES,Code-Instruction_Tuned,beh_kl_to_base,behaviour,0.1751193129121662,0.1364185276023318,-0.038700785309834396,-0.222201734863467
-Ties,TIES,Code-Math,beh_kl_to_base,behaviour,0.2104004919723689,0.1810295336203008,-0.0293709583520681,-0.16863424987848377
-Ties,TIES,Math-Instruction_Tuned,beh_kl_to_base,behaviour,0.1695624375570265,0.1348951166119359,-0.03466732094509059,-0.1990434766477533
-WIDEN,WIDEN,Code-Instruction_Tuned,beh_kl_to_base,behaviour,0.1487084594954175,0.1135898635347647,-0.035118595960652796,-0.20163448586257093
-WIDEN,WIDEN,Code-Math,beh_kl_to_base,behaviour,0.1526036240678989,0.127567749296493,-0.025035874771405897,-0.14374423576922243
+DARETaskArithmetic,DARE Linear,Code-Instruction_Tuned,act_deviation_from_base,representation,0.3268741406500339,0.2771998148411512,-0.0496743258088827,-0.5930596180124549
+DARETaskArithmetic,DARE Linear,Code-Math,act_deviation_from_base,representation,0.2090091705322265,0.18324254406616086,-0.025766626466065645,-0.3076266340931787
+DARETaskArithmetic,DARE Linear,Code-Math-Instruction_Tuned,act_deviation_from_base,representation,0.41396001614630223,,,
+DARETaskArithmetic,DARE Linear,Math-Instruction_Tuned,act_deviation_from_base,representation,0.39771203845739367,0.34087302163243294,-0.05683901682496073,-0.6785985528239806
+DARETies,DARE TIES,Code-Instruction_Tuned,act_deviation_from_base,representation,0.32205841317772865,0.2706678189337253,-0.05139059424400333,-0.6135500723057966
+DARETies,DARE TIES,Code-Math,act_deviation_from_base,representation,0.21137537630274889,0.18471119441092013,-0.02666418189182876,-0.31834250933215164
+DARETies,DARE TIES,Math-Instruction_Tuned,act_deviation_from_base,representation,0.40017827302217485,0.3404878456145525,-0.05969042740762237,-0.7126414199069917
+TaskArithmetic,Task Arithmetic,Code-Instruction_Tuned,act_deviation_from_base,representation,0.31902736425399775,0.2703720036894083,-0.04865536056458947,-0.5808942362240129
+TaskArithmetic,Task Arithmetic,Code-Math,act_deviation_from_base,representation,0.2079064922407269,0.18354407707229253,-0.024362415168434376,-0.29086181640876724
+TaskArithmetic,Task Arithmetic,Code-Math-Instruction_Tuned,act_deviation_from_base,representation,0.405633632466197,0.34357630088925356,-0.06205733157694343,-0.7408997859677672
+TaskArithmetic,Task Arithmetic,Math-Instruction_Tuned,act_deviation_from_base,representation,0.39210564494132993,0.33807642459869386,-0.054029220342636075,-0.6450525146772037
+Ties,TIES,Code-Instruction_Tuned,act_deviation_from_base,representation,0.26751709580421446,0.22590580526739354,-0.041611290536820916,-0.4967953901522184
+Ties,TIES,Code-Math,act_deviation_from_base,representation,0.18338995799422259,0.16238840231671925,-0.021001555677503336,-0.2507366609400507
+Ties,TIES,Math-Instruction_Tuned,act_deviation_from_base,representation,0.2414184311404824,0.20530384760349984,-0.03611458353698255,-0.4311704440544577
+WIDEN,WIDEN,Code-Instruction_Tuned,act_deviation_from_base,representation,0.21522565763443705,0.18980246856808658,-0.025423189066350466,-0.30352634989667227
+WIDEN,WIDEN,Code-Math,act_deviation_from_base,representation,0.1499567064456641,0.13331147627905007,-0.01664523016661404,-0.1987266799014368
+WIDEN,WIDEN,Math-Instruction_Tuned,act_deviation_from_base,representation,0.27196276579052203,,,
+DARETaskArithmetic,DARE Linear,Code-Instruction_Tuned,cka_to_base,representation,0.9630374073982239,0.9756896287202835,0.012652221322059676,0.8638272090256298
+DARETaskArithmetic,DARE Linear,Code-Math,cka_to_base,representation,0.988602839410305,0.9910977050662041,0.00249486565589907,0.17033632131233958
+DARETaskArithmetic,DARE Linear,Code-Math-Instruction_Tuned,cka_to_base,representation,0.9444771707057953,,,
+DARETaskArithmetic,DARE Linear,Math-Instruction_Tuned,cka_to_base,representation,0.9561630114912987,0.9691109836101532,0.012947972118854567,0.8840195198348788
+DARETies,DARE TIES,Code-Instruction_Tuned,cka_to_base,representation,0.9662329286336899,0.9789113625884056,0.012678433954715684,0.8656168698869185
+DARETies,DARE TIES,Code-Math,cka_to_base,representation,0.9881209120154381,0.9910706728696823,0.0029497608542442544,0.2013941758647694
+DARETies,DARE TIES,Math-Instruction_Tuned,cka_to_base,representation,0.9561433091759681,0.9701771914958954,0.014033882319927304,0.9581597640155283
+TaskArithmetic,Task Arithmetic,Code-Instruction_Tuned,cka_to_base,representation,0.9668349489569664,0.9788408130407333,0.012005864083766915,0.8196973321466616
+TaskArithmetic,Task Arithmetic,Code-Math,cka_to_base,representation,0.988736729323864,0.9910610884428024,0.0023243591189383572,0.15869503064928464
+TaskArithmetic,Task Arithmetic,Code-Math-Instruction_Tuned,cka_to_base,representation,0.9509493231773376,0.9675659328699112,0.016616609692573614,1.1344948218047297
+TaskArithmetic,Task Arithmetic,Math-Instruction_Tuned,cka_to_base,representation,0.959263214468956,0.9698800936341285,0.01061687916517251,0.7248647383225146
+Ties,TIES,Code-Instruction_Tuned,cka_to_base,representation,0.9842474162578583,0.9911796778440476,0.006932261586189314,0.4732984055371124
+Ties,TIES,Code-Math,cka_to_base,representation,0.9912186995148659,0.99300397336483,0.0017852738499641863,0.12188912032957955
+Ties,TIES,Math-Instruction_Tuned,cka_to_base,representation,0.988047470152378,0.9926868349313736,0.004639364778995514,0.3167514562604171
+WIDEN,WIDEN,Code-Instruction_Tuned,cka_to_base,representation,0.9884805098176003,0.9913797855377198,0.0028992757201194985,0.19794731610803754
+WIDEN,WIDEN,Code-Math,cka_to_base,representation,0.9945898994803428,0.9956279069185257,0.0010380074381828308,0.07086969516648876
+WIDEN,WIDEN,Math-Instruction_Tuned,cka_to_base,representation,0.9840415135025978,,,
+DARETaskArithmetic,DARE Linear,Code-Instruction_Tuned,qmd_raw_from_base,weight space,0.07540532551926302,0.06918316821085496,-0.006222157308408055,-0.2906148995930123
+DARETaskArithmetic,DARE Linear,Code-Math,qmd_raw_from_base,weight space,0.027830858351205065,0.025713600634237572,-0.002117257716967493,-0.09888959862804646
+DARETaskArithmetic,DARE Linear,Code-Math-Instruction_Tuned,qmd_raw_from_base,weight space,0.08106394490993216,0.07435638722862838,-0.00670755768130378,-0.3132862294291899
+DARETaskArithmetic,DARE Linear,Math-Instruction_Tuned,qmd_raw_from_base,weight space,0.08101604946480126,0.07431673551507964,-0.006699313949721619,-0.31290119396523847
+DARETies,DARE TIES,Code-Instruction_Tuned,qmd_raw_from_base,weight space,0.06789361068416809,0.06231974267677706,-0.005573868007391028,-0.26033560564657066
+DARETies,DARE TIES,Code-Math,qmd_raw_from_base,weight space,0.02532894138283997,0.023444206348130697,-0.0018847350347092721,-0.08802928883384425
+DARETies,DARE TIES,Math-Instruction_Tuned,qmd_raw_from_base,weight space,0.07794717115598046,0.0715050015495038,-0.006442169606476658,-0.3008908937126135
+TaskArithmetic,Task Arithmetic,Code-Instruction_Tuned,qmd_raw_from_base,weight space,0.06748542751022336,0.06197007668653693,-0.005515350823686434,-0.25760247554010485
+TaskArithmetic,Task Arithmetic,Code-Math,qmd_raw_from_base,weight space,0.02494948531349566,0.023119563194417308,-0.0018299221190783525,-0.08546917195107848
+TaskArithmetic,Task Arithmetic,Code-Math-Instruction_Tuned,qmd_raw_from_base,weight space,0.07272877584972695,0.06674016389376215,-0.005988611955964798,-0.2797068245015973
+TaskArithmetic,Task Arithmetic,Math-Instruction_Tuned,qmd_raw_from_base,weight space,0.07268515892821595,0.06670400911641289,-0.00598114981180306,-0.27935829421397795
+Ties,TIES,Code-Instruction_Tuned,qmd_raw_from_base,weight space,0.06307845715669955,0.058067960792707346,-0.005010496363992201,-0.23402251430787074
+Ties,TIES,Code-Math,qmd_raw_from_base,weight space,0.02326307511752211,0.021652956885821834,-0.0016101182317002777,-0.07520291195565636
+Ties,TIES,Math-Instruction_Tuned,qmd_raw_from_base,weight space,0.05786696753653783,0.05320746697291281,-0.004659500563625026,-0.21762874535840432
+WIDEN,WIDEN,Code-Instruction_Tuned,qmd_raw_from_base,weight space,0.050647287040768006,0.0466550100292541,-0.003992277011513903,-0.18646509969794486
+WIDEN,WIDEN,Code-Math,qmd_raw_from_base,weight space,0.019018005658702125,0.017786045338737237,-0.0012319603199648886,-0.057540497120728167
+WIDEN,WIDEN,Math-Instruction_Tuned,qmd_raw_from_base,weight space,0.05479621414229463,0.05043220024105492,-0.004364013901239708,-0.20382761136840655
+DARETaskArithmetic,DARE Linear,Code-Instruction_Tuned,beh_js_to_base,behaviour,0.0675294344035755,0.054332467446118,-0.013196966957457507,-0.2677489559243083
+DARETaskArithmetic,DARE Linear,Code-Math,beh_js_to_base,behaviour,0.0701002699547847,0.0596478397893982,-0.010452430165386502,-0.21206594459740596
+DARETaskArithmetic,DARE Linear,Code-Math-Instruction_Tuned,beh_js_to_base,behaviour,0.1649849997656848,,,
+DARETaskArithmetic,DARE Linear,Math-Instruction_Tuned,beh_js_to_base,behaviour,0.1558226350073653,0.1452851978753024,-0.010537437132062899,-0.2137906232032758
+DARETies,DARE TIES,Code-Instruction_Tuned,beh_js_to_base,behaviour,0.0645529807269808,0.0522127097471974,-0.012340270979783408,-0.2503677308059735
+DARETies,DARE TIES,Code-Math,beh_js_to_base,behaviour,0.0705667963771806,0.0605886174584691,-0.009978178918711493,-0.2024440158199546
+DARETies,DARE TIES,Math-Instruction_Tuned,beh_js_to_base,behaviour,0.1516165943578546,0.136825735452024,-0.014790858905830595,-0.30008690951688705
+TaskArithmetic,Task Arithmetic,Code-Instruction_Tuned,beh_js_to_base,behaviour,0.0670005273723255,0.0541176966435751,-0.012882830728750391,-0.26137554849474737
+TaskArithmetic,Task Arithmetic,Code-Math,beh_js_to_base,behaviour,0.0707630679739104,0.0605505583717166,-0.010212509602193796,-0.207198274586054
+TaskArithmetic,Task Arithmetic,Code-Math-Instruction_Tuned,beh_js_to_base,behaviour,0.1723386903043327,0.1557380097510118,-0.016600680553320896,-0.3368057903087275
+TaskArithmetic,Task Arithmetic,Math-Instruction_Tuned,beh_js_to_base,behaviour,0.1630553862854352,0.1491063061455251,-0.013949080139910086,-0.28300833483976356
+Ties,TIES,Code-Instruction_Tuned,beh_js_to_base,behaviour,0.0401827128762879,0.0320304306451685,-0.008152282231119398,-0.16539899378538986
+Ties,TIES,Code-Math,beh_js_to_base,behaviour,0.0486724480616445,0.0419355507932006,-0.006736897268443905,-0.13668271017196626
+Ties,TIES,Math-Instruction_Tuned,beh_js_to_base,behaviour,0.0397027983565525,0.0319435968527206,-0.0077592015038319,-0.1574239071867437
+WIDEN,WIDEN,Code-Instruction_Tuned,beh_js_to_base,behaviour,0.0363831441722982,0.0279335037242935,-0.008449640448004704,-0.1714319976084057
+WIDEN,WIDEN,Code-Math,beh_js_to_base,behaviour,0.0365018882611834,0.0305083815052392,-0.005993506755944199,-0.12160030266064371
+WIDEN,WIDEN,Math-Instruction_Tuned,beh_js_to_base,behaviour,0.1038943280401073,,,
+DARETaskArithmetic,DARE Linear,Code-Instruction_Tuned,beh_kl_to_base,behaviour,0.3067125690407576,0.2416893078428814,-0.06502326119787621,-0.3022651633152543
+DARETaskArithmetic,DARE Linear,Code-Math,beh_kl_to_base,behaviour,0.3002615200469781,0.2594705143337791,-0.04079100571319899,-0.18961983414169756
+DARETaskArithmetic,DARE Linear,Code-Math-Instruction_Tuned,beh_kl_to_base,behaviour,0.7147236138251114,,,
+DARETaskArithmetic,DARE Linear,Math-Instruction_Tuned,beh_kl_to_base,behaviour,0.6873062086352962,0.611457267630225,-0.07584894100507122,-0.3525890907012177
+DARETies,DARE TIES,Code-Instruction_Tuned,beh_kl_to_base,behaviour,0.2927892901591197,0.2313560658544693,-0.0614332243046504,-0.2855766265078428
+DARETies,DARE TIES,Code-Math,beh_kl_to_base,behaviour,0.3048238893372912,0.2638059280120493,-0.041017961325241936,-0.19067485312837543
+DARETies,DARE TIES,Math-Instruction_Tuned,beh_kl_to_base,behaviour,0.6873289485144918,0.5846292800262997,-0.10269966848819212,-0.4774065695280719
+TaskArithmetic,Task Arithmetic,Code-Instruction_Tuned,beh_kl_to_base,behaviour,0.304607594224647,0.2406390341662837,-0.0639685600583633,-0.2973623115309752
+TaskArithmetic,Task Arithmetic,Code-Math,beh_kl_to_base,behaviour,0.303996269463866,0.2630344646865175,-0.04096180477734851,-0.1904138055000725
+TaskArithmetic,Task Arithmetic,Code-Math-Instruction_Tuned,beh_kl_to_base,behaviour,0.7553384977087472,0.6549430652966949,-0.10039543241205229,-0.46669516746917217
+TaskArithmetic,Task Arithmetic,Math-Instruction_Tuned,beh_kl_to_base,behaviour,0.7302715067695107,0.6341559539274912,-0.09611555284201945,-0.44679984888050917
+Ties,TIES,Code-Instruction_Tuned,beh_kl_to_base,behaviour,0.1751193129121662,0.1364185276023318,-0.038700785309834396,-0.17990329885957437
+Ties,TIES,Code-Math,beh_kl_to_base,behaviour,0.2104004919723689,0.1810295336203008,-0.0293709583520681,-0.1365329477399907
+Ties,TIES,Math-Instruction_Tuned,beh_kl_to_base,behaviour,0.1695624375570265,0.1348951166119359,-0.03466732094509059,-0.1611534585335809
+WIDEN,WIDEN,Code-Instruction_Tuned,beh_kl_to_base,behaviour,0.1487084594954175,0.1135898635347647,-0.035118595960652796,-0.16325124190780912
+WIDEN,WIDEN,Code-Math,beh_kl_to_base,behaviour,0.1526036240678989,0.127567749296493,-0.025035874771405897,-0.1163810094589108
+WIDEN,WIDEN,Math-Instruction_Tuned,beh_kl_to_base,behaviour,0.4269925540304505,,,

tables/T2_per_operator.csv

@@ -1,31 +1,31 @@
 operator,metric,family,mean_without,mean_with,mean_diff_raw,n_pairs,mean_diff,median_diff,n_positive,p_wilcoxon,p_sign,q_bh
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-ALL,beh_kl_to_base,behaviour,0.31439891642781076,0.2624831799627383,-0.05191573646507251,13,-0.2980757784861351,-0.2351834468421653,0,0.000244140625,0.000244140625,0.00146484375
-ALL,act_deviation_from_base,other,0.26508020954922984,0.22807797871243493,-0.03700223083679492,13,-0.49903511593546757,-0.4870637519621583,0,0.000244140625,0.000244140625,0.00146484375
-ALL,cka_to_base,other,0.9787350988158813,0.9854312872657409,0.006696188449859624,13,0.5531593387240868,0.3832490636225712,13,0.000244140625,0.000244140625,0.00146484375
-ALL,qmd_raw_from_base,other,0.05026152087350933,0.04625606218740804,-0.004005458686101281,13,-0.18696736336628855,-0.21749682202630968,0,0.000244140625,0.000244140625,0.00146484375
-DARETaskArithmetic,beh_js_to_base,behaviour,0.0688148521791801,0.056990153617758096,-0.011824698561422004,2,-0.30205803194661784,-0.30205803194661784,0,,0.5,0.5
-DARETaskArithmetic,beh_kl_to_base,behaviour,0.3034870445438679,0.2505799110883302,-0.0529071334555376,2,-0.3037679144326319,-0.3037679144326319,0,,0.5,0.5
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-DARETaskArithmetic,cka_to_base,other,0.9758201234042645,0.9833936668932438,0.007573543488979373,2,0.6256359628364053,0.6256359628364053,2,,0.5,0.5
-DARETaskArithmetic,qmd_raw_from_base,other,0.05161809193523404,0.047448384422546265,-0.004169707512687774,2,-0.19463419317268316,-0.19463419317268316,0,,0.5,0.5
-DARETies,beh_js_to_base,behaviour,0.09557879048733868,0.08320902088589684,-0.012369769601441831,3,-0.3159816922212766,-0.31522815964224316,0,,0.25,0.375
-DARETies,beh_kl_to_base,behaviour,0.42831404267030093,0.35993042463093944,-0.06838361803936148,3,-0.392626620957109,-0.3527207241265213,0,,0.25,0.375
-DARETies,act_deviation_from_base,other,0.31120402083421744,0.2652889529863993,-0.04591506784781815,3,-0.6192391833801524,-0.6930855404276527,0,,0.25,0.375
-DARETies,cka_to_base,other,0.9701657166083653,0.9800530756513277,0.009887359042962415,3,0.8167758465709495,1.047341214328363,3,,0.25,0.375
-DARETies,qmd_raw_from_base,other,0.05705657440766284,0.05242298352480385,-0.004633590882858986,3,-0.21628740630688212,-0.2601777940463466,0,,0.25,0.375
-TaskArithmetic,beh_js_to_base,behaviour,0.1002729938772237,0.08792485372027227,-0.012348140156951425,3,-0.31542917518239105,-0.3290876698136982,0,,0.25,0.375
-TaskArithmetic,beh_kl_to_base,behaviour,0.44629179015267456,0.37927648426009747,-0.06701530589257708,3,-0.3847704151872227,-0.36727743139812347,0,,0.25,0.375
-TaskArithmetic,act_deviation_from_base,other,0.3063465004786849,0.2639975017867982,-0.04234899869188664,3,-0.5711449551560922,-0.6561964765672229,0,,0.25,0.375
-TaskArithmetic,cka_to_base,other,0.9716116309165955,0.9799273317058881,0.008315700789292594,3,0.6869441599614611,0.8770401105487817,3,,0.25,0.375
-TaskArithmetic,qmd_raw_from_base,other,0.05504002391731166,0.05059788299912238,-0.004442140918189282,3,-0.2073508779549433,-0.25744632072299595,0,,0.25,0.375
-Ties,beh_js_to_base,behaviour,0.042852653098161636,0.03530319276369657,-0.007549460334465068,3,-0.19284847888869505,-0.19820624801135325,0,,0.25,0.375
-Ties,beh_kl_to_base,behaviour,0.18502741414718718,0.1507810592781895,-0.03424635486899769,3,-0.19662648712990136,-0.1990434766477533,0,,0.25,0.375
-Ties,act_deviation_from_base,other,0.2307751616463065,0.1978660183958709,-0.0329091432504356,3,-0.4438331891326732,-0.4870637519621583,0,,0.25,0.375
-Ties,cka_to_base,other,0.987837861975034,0.9922901620467505,0.004452300071716338,3,0.36779600543103647,0.3832490636225712,3,,0.25,0.375
-Ties,qmd_raw_from_base,other,0.048069499936919835,0.04430946155048066,-0.003760038386439168,3,-0.17551160013407496,-0.21749682202630968,0,,0.25,0.375
-WIDEN,beh_js_to_base,behaviour,0.0364425162167408,0.02922094261476635,-0.007221573601974451,2,-0.1844727202506996,-0.1844727202506996,0,,0.5,0.5
-WIDEN,beh_kl_to_base,behaviour,0.1506560417816582,0.12057880641562885,-0.030077235366029346,2,-0.1726893608158967,-0.1726893608158967,0,,0.5,0.5
-WIDEN,act_deviation_from_base,other,0.1825911820400506,0.1615569724235683,-0.021034209616482252,2,-0.28368044296762085,-0.28368044296762085,0,,0.5,0.5
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-WIDEN,qmd_raw_from_base,other,0.03483264634973507,0.03222052768399567,-0.002612118665739396,2,-0.12192884211434192,-0.12192884211434192,0,,0.5,0.5
+ALL,beh_js_to_base,behaviour,0.08962757072338257,0.07285044014673067,-0.010802184819383446,15,-0.21916200263401642,-0.21206594459740596,0,6.103515625e-05,6.103515625e-05,0.0003662109375
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+DARETaskArithmetic,beh_js_to_base,behaviour,0.11460933478285257,0.08642183503693952,-0.011395611418302302,3,-0.23120184124166335,-0.2137906232032758,0,,0.25,0.28846153846153844
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+DARETaskArithmetic,act_deviation_from_base,other,0.3368888414464891,0.26710512684658166,-0.044093323033303024,3,-0.5264282683098714,-0.5930596180124549,0,,0.25,0.28846153846153844
+DARETaskArithmetic,cka_to_base,other,0.9630701072514057,0.9786327724655469,0.009365019698937771,3,0.6393943500576161,0.8638272090256298,3,,0.25,0.28846153846153844
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+DARETies,beh_js_to_base,behaviour,0.09557879048733868,0.08320902088589684,-0.012369769601441831,3,-0.25096621871427177,-0.2503677308059735,0,,0.25,0.28846153846153844
+DARETies,beh_kl_to_base,behaviour,0.42831404267030093,0.35993042463093944,-0.06838361803936148,3,-0.3178860163880967,-0.2855766265078428,0,,0.25,0.28846153846153844
+DARETies,act_deviation_from_base,other,0.31120402083421744,0.2652889529863993,-0.04591506784781815,3,-0.54817800051498,-0.6135500723057966,0,,0.25,0.28846153846153844
+DARETies,cka_to_base,other,0.9701657166083653,0.9800530756513277,0.009887359042962415,3,0.6750569365890721,0.8656168698869185,3,,0.25,0.28846153846153844
+DARETies,qmd_raw_from_base,other,0.05705657440766284,0.05242298352480385,-0.004633590882858986,3,-0.2164185960643428,-0.26033560564657066,0,,0.25,0.28846153846153844
+TaskArithmetic,beh_js_to_base,behaviour,0.11828941798400094,0.10487814272795715,-0.013411275256043792,4,-0.2720969870573231,-0.27219194166725547,0,,0.125,0.28846153846153844
+TaskArithmetic,beh_kl_to_base,behaviour,0.5235534670416927,0.44819312951924684,-0.07536033752244589,4,-0.35031778334518227,-0.37208108020574215,0,,0.125,0.28846153846153844
+TaskArithmetic,act_deviation_from_base,other,0.33116828347556293,0.28389220156241207,-0.04727608191315084,4,-0.5644270883194378,-0.6129733754506084,0,,0.125,0.28846153846153844
+TaskArithmetic,cka_to_base,other,0.9664460539817811,0.9768369819968938,0.01039092801511285,4,0.7094379807307976,0.7722810352345881,4,,0.125,0.28846153846153844
+TaskArithmetic,qmd_raw_from_base,other,0.05946221190041548,0.05463345322278232,-0.004828758677633161,4,-0.22553419155168966,-0.2684803848770414,0,,0.125,0.28846153846153844
+Ties,beh_js_to_base,behaviour,0.042852653098161636,0.03530319276369657,-0.007549460334465068,3,-0.15316853704803327,-0.1574239071867437,0,,0.25,0.28846153846153844
+Ties,beh_kl_to_base,behaviour,0.18502741414718718,0.1507810592781895,-0.03424635486899769,3,-0.15919656837771531,-0.1611534585335809,0,,0.25,0.28846153846153844
+Ties,act_deviation_from_base,other,0.2307751616463065,0.1978660183958709,-0.0329091432504356,3,-0.3929008317155756,-0.4311704440544577,0,,0.25,0.28846153846153844
+Ties,cka_to_base,other,0.987837861975034,0.9922901620467505,0.004452300071716338,3,0.3039796607090363,0.3167514562604171,3,,0.25,0.28846153846153844
+Ties,qmd_raw_from_base,other,0.048069499936919835,0.04430946155048066,-0.003760038386439168,3,-0.1756180572073105,-0.21762874535840432,0,,0.25,0.28846153846153844
+WIDEN,beh_js_to_base,behaviour,0.058926453491196296,0.02922094261476635,-0.007221573601974451,2,-0.1465161501345247,-0.1465161501345247,0,,0.5,0.5
+WIDEN,beh_kl_to_base,behaviour,0.24276821253125566,0.12057880641562885,-0.030077235366029346,2,-0.13981612568335997,-0.13981612568335997,0,,0.5,0.5
+WIDEN,act_deviation_from_base,other,0.21238170995687441,0.1615569724235683,-0.021034209616482252,2,-0.2511265148990545,-0.2511265148990545,0,,0.5,0.5
+WIDEN,cka_to_base,other,0.9890373076001803,0.9935038462281227,0.0019686415791511647,2,0.13440850563726314,0.13440850563726314,2,,0.5,0.5
+WIDEN,qmd_raw_from_base,other,0.041487168947254925,0.03829108520301542,-0.0031960837442395,3,-0.14927773606235986,-0.18646509969794486,0,,0.25,0.28846153846153844

tables/T3_per_combo.csv

@@ -1,21 +1,26 @@
 combo,metric,family,mean_without,mean_with,mean_diff_raw,n_pairs,mean_diff,median_diff,n_positive,p_wilcoxon,p_sign,q_bh
-ALL,beh_js_to_base,behaviour,0.07127908070615491,0.060902568813434296,-0.010376511892720607,13,-0.265064580251671,-0.26087519573130075,0,0.000244140625,0.000244140625,0.0009765625
-ALL,beh_kl_to_base,behaviour,0.31439891642781076,0.2624831799627383,-0.05191573646507251,13,-0.2980757784861351,-0.2351834468421653,0,0.000244140625,0.000244140625,0.0009765625
-ALL,act_deviation_from_base,other,0.26508020954922984,0.22807797871243493,-0.03700223083679492,13,-0.49903511593546757,-0.4870637519621583,0,0.000244140625,0.000244140625,0.0009765625
-ALL,cka_to_base,other,0.9787350988158813,0.9854312872657409,0.006696188449859624,13,0.5531593387240868,0.3832490636225712,13,0.000244140625,0.000244140625,0.0009765625
-ALL,qmd_raw_from_base,other,0.05026152087350933,0.04625606218740804,-0.004005458686101281,13,-0.18696736336628855,-0.21749682202630968,0,0.000244140625,0.000244140625,0.0009765625
-Code-Instruction_Tuned,beh_js_to_base,behaviour,0.05512975991029358,0.0441253616412705,-0.011004398269023082,5,-0.28110373102806185,-0.31522815964224316,0,0.0625,0.0625,0.08333333333333333
-Code-Instruction_Tuned,beh_kl_to_base,behaviour,0.24558744516642164,0.19273855980014618,-0.052848885366275425,5,-0.3034334812581389,-0.3527207241265213,0,0.0625,0.0625,0.08333333333333333
-Code-Instruction_Tuned,act_deviation_from_base,other,0.29014053430408243,0.24678958225995298,-0.04335095204412938,5,-0.5846579216986708,-0.6561964765672229,0,0.0625,0.0625,0.08333333333333333
-Code-Instruction_Tuned,cka_to_base,other,0.9737666422128678,0.983200253546238,0.009433611333370218,5,0.7792926148989302,0.9917815018373614,5,0.0625,0.0625,0.08333333333333333
-Code-Instruction_Tuned,qmd_raw_from_base,other,0.06490202158222438,0.05963919167922608,-0.005262829902998324,5,-0.24565911370480592,-0.25744632072299595,0,0.0625,0.0625,0.08333333333333333
-Code-Math,beh_js_to_base,behaviour,0.05932089412574072,0.05064618958360474,-0.008674704542135979,5,-0.22159247173239366,-0.25488929556566825,0,0.0625,0.0625,0.08333333333333333
-Code-Math,beh_kl_to_base,behaviour,0.25441715897768064,0.21898163798982795,-0.03543552098785269,5,-0.2034541205366914,-0.23420279882525194,0,0.0625,0.0625,0.08333333333333333
-Code-Math,act_deviation_from_base,other,0.1923275407031178,0.16943953882902857,-0.02288800187408923,5,-0.30868183918817643,-0.328566694577724,0,0.0625,0.0625,0.08333333333333333
-Code-Math,cka_to_base,other,0.9902538159489632,0.9923722693324087,0.0021184533834457397,5,0.17500138795066555,0.1920108674982402,5,0.0625,0.0625,0.08333333333333333
-Code-Math,qmd_raw_from_base,other,0.024078073164752987,0.02234327448026893,-0.0017347986844840567,5,-0.08097717675500414,-0.08541736180101496,0,0.0625,0.0625,0.08333333333333333
-Math-Instruction_Tuned,beh_js_to_base,behaviour,0.11812492633328077,0.10595854615008991,-0.012166380183190861,3,-0.31078617648981527,-0.3563246600021742,0,,0.25,0.25
-Math-Instruction_Tuned,beh_kl_to_base,behaviour,0.5290542976136763,0.451226783521909,-0.07782751409176739,3,-0.44684903711520163,-0.5518503673213795,0,,0.25,0.25
-Math-Instruction_Tuned,act_deviation_from_base,other,0.3445674497013291,0.29462270593891543,-0.04994474376241367,3,-0.6735859009089467,-0.7286716943233295,0,,0.25,0.25
-Math-Instruction_Tuned,cka_to_base,other,0.9678179979324341,0.9775813733537992,0.009763375421365109,3,0.8065337963883833,0.8770401105487817,3,,0.25,0.25
-Math-Instruction_Tuned,qmd_raw_from_base,other,0.06949976587357808,0.0638054925462765,-0.005694273327301581,3,-0.2657980904875671,-0.279188951340819,0,,0.25,0.25
+ALL,beh_js_to_base,behaviour,0.08962757072338257,0.07285044014673067,-0.010802184819383446,15,-0.21916200263401642,-0.21206594459740596,0,6.103515625e-05,6.103515625e-05,0.00030517578125
+ALL,beh_kl_to_base,behaviour,0.39244392869183203,0.31191211149616777,-0.056743263164204416,15,-0.26377501514687035,-0.19067485312837543,0,6.103515625e-05,6.103515625e-05,0.00030517578125
+ALL,act_deviation_from_base,other,0.29031242217649433,0.24329753638555604,-0.03999502328534921,15,-0.47749884564647616,-0.4967953901522184,0,6.103515625e-05,6.103515625e-05,0.00030517578125
+ALL,cka_to_base,other,0.9740698413813815,0.9831522433956464,0.0077743354439735535,15,0.530790785084326,0.4732984055371124,15,6.103515625e-05,6.103515625e-05,0.00030517578125
+ALL,qmd_raw_from_base,other,0.05547086798366919,0.05101025266557821,-0.004460615318090974,17,-0.2083395209308403,-0.23402251430787074,0,1.52587890625e-05,1.52587890625e-05,0.00030517578125
+Code-Instruction_Tuned,beh_js_to_base,behaviour,0.05512975991029358,0.0441253616412705,-0.011004398269023082,5,-0.22326464532376494,-0.2503677308059735,0,0.0625,0.0625,0.09765625
+Code-Instruction_Tuned,beh_kl_to_base,behaviour,0.24558744516642164,0.19273855980014618,-0.052848885366275425,5,-0.24567172842429116,-0.2855766265078428,0,0.0625,0.0625,0.09765625
+Code-Instruction_Tuned,act_deviation_from_base,other,0.29014053430408243,0.24678958225995298,-0.04335095204412938,5,-0.5175651333182311,-0.5808942362240129,0,0.0625,0.0625,0.09765625
+Code-Instruction_Tuned,cka_to_base,other,0.9737666422128678,0.983200253546238,0.009433611333370218,5,0.6440774265408721,0.8196973321466616,5,0.0625,0.0625,0.09765625
+Code-Instruction_Tuned,qmd_raw_from_base,other,0.06490202158222438,0.05963919167922608,-0.005262829902998324,5,-0.2458081189571007,-0.25760247554010485,0,0.0625,0.0625,0.09765625
+Code-Math,beh_js_to_base,behaviour,0.05932089412574072,0.05064618958360474,-0.008674704542135979,5,-0.1759982495672049,-0.2024440158199546,0,0.0625,0.0625,0.09765625
+Code-Math,beh_kl_to_base,behaviour,0.25441715897768064,0.21898163798982795,-0.03543552098785269,5,-0.1647244899938094,-0.18961983414169756,0,0.0625,0.0625,0.09765625
+Code-Math,act_deviation_from_base,other,0.1923275407031178,0.16943953882902857,-0.02288800187408923,5,-0.273258860135117,-0.29086181640876724,0,0.0625,0.0625,0.09765625
+Code-Math,cka_to_base,other,0.9902538159489632,0.9923722693324087,0.0021184533834457397,5,0.14463686866449238,0.15869503064928464,5,0.0625,0.0625,0.09765625
+Code-Math,qmd_raw_from_base,other,0.024078073164752987,0.02234327448026893,-0.0017347986844840567,5,-0.08102629369787075,-0.08546917195107848,0,0.0625,0.0625,0.09765625
+Code-Math-Instruction_Tuned,beh_js_to_base,behaviour,0.16866184503500875,0.1557380097510118,-0.016600680553320896,1,-0.3368057903087275,-0.3368057903087275,0,,1.0,1.0
+Code-Math-Instruction_Tuned,beh_kl_to_base,behaviour,0.7350310557669293,0.6549430652966949,-0.10039543241205229,1,-0.46669516746917217,-0.46669516746917217,0,,1.0,1.0
+Code-Math-Instruction_Tuned,act_deviation_from_base,other,0.40979682430624964,0.34357630088925356,-0.06205733157694343,1,-0.7408997859677672,-0.7408997859677672,0,,1.0,1.0
+Code-Math-Instruction_Tuned,cka_to_base,other,0.9477132469415664,0.9675659328699112,0.016616609692573614,1,1.1344948218047297,1.1344948218047297,1,,1.0,1.0
+Code-Math-Instruction_Tuned,qmd_raw_from_base,other,0.07689636037982955,0.07054827556119526,-0.006348084818634289,2,-0.2964965269653936,-0.2964965269653936,0,,0.5,0.5952380952380952
+Math-Instruction_Tuned,beh_js_to_base,behaviour,0.122818348409463,0.11579020908139302,-0.01175914442040887,4,-0.23857744368666753,-0.24839947902151968,0,,0.125,0.15625
+Math-Instruction_Tuned,beh_kl_to_base,behaviour,0.5402923311013552,0.491284404548988,-0.07733287082009335,4,-0.3594872419108449,-0.3996944697908634,0,,0.125,0.15625
+Math-Instruction_Tuned,act_deviation_from_base,other,0.3406754306703806,0.3061852848622948,-0.05166831202805043,4,-0.6168657328656584,-0.6618255337505922,0,,0.125,0.15625
+Math-Instruction_Tuned,cka_to_base,other,0.9687317037582398,0.9754637759178877,0.010559524595737474,4,0.7209488696083346,0.8044421290786967,4,,0.125,0.15625
+Math-Instruction_Tuned,qmd_raw_from_base,other,0.06886231224556602,0.06323308267899282,-0.005629229566573214,5,-0.26292134772372816,-0.27935829421397795,0,0.0625,0.0625,0.09765625

tables/T4_mechanism.csv

@@ -1,14 +1,18 @@
 operator,operator_label,combo,omega_hat,col_r2_median,scalar_r2_median,salience_recovery_r,salience_abs_err,rho_W,qmd_raw_merge,qmd_raw_aim,rel_dev_merge,rel_dev_uniform,rel_dev_aim,rho_A_uniform,rho_A_aim,aim_advantage,leverage_uniform,leverage_aim,cka_to_base_merge,cka_to_base_uniform,cka_to_base_aim
 DARETaskArithmetic,DARE Linear,Code-Instruction_Tuned,0.3997713923454284,0.99918133020401,0.998831033706665,0.997971974377223,0.0054431236460495,0.9176499738151519,0.07540532551926302,0.06918316821085496,0.3268741406500339,0.31506659537553783,0.2771998148411512,0.9638773955901953,0.8480322557480426,0.11584513984215261,0.4386471514741435,1.8453879287280481,0.9630374073982239,0.9643905878067016,0.9756896287202835
 DARETaskArithmetic,DARE Linear,Code-Math,0.3971100151538849,0.9954683780670166,0.9949272871017456,0.9933784793291746,0.0204927076249033,0.9239000155724518,0.027830858351205065,0.025713600634237572,0.2090091705322265,0.20172548443078991,0.18324254406616086,0.9651513563596792,0.8767201151966069,0.08843124116307233,0.45793233602431077,1.6199725365353144,0.988602839410305,0.9894919887185096,0.9910977050662041
+DARETaskArithmetic,DARE Linear,Code-Math-Instruction_Tuned,0.3998891711235046,0.9991752505302428,0.9988104104995728,0.9981032551664192,0.0053949825461233,0.9173904689429951,0.08106394490993216,0.07435638722862838,0.41396001614630223,0.39705644287168973,,0.9591661691581381,,,0.4942992693383577,,0.9444771707057953,0.9476434409618377,
+DARETaskArithmetic,DARE Linear,Math-Instruction_Tuned,0.3998627662658691,0.999175488948822,0.9988095164299012,0.998095050603285,0.0053991134489663,0.9174436887029443,0.08101604946480126,0.07431673551507964,0.39771203845739367,0.3832564990967512,0.34087302163243294,0.9636532516925784,0.8570849978657364,0.10656825382684199,0.44026613757775623,1.731121459872694,0.9561630114912987,0.9578405752778053,0.9691109836101532
 DARETies,DARE TIES,Code-Instruction_Tuned,0.3999024033546448,0.9994592666625975,0.9990983605384828,0.997571700967459,0.0074244630251203,0.9181009230083443,0.06789361068416809,0.06231974267677706,0.32205841317772865,0.3108738642185926,0.2706678189337253,0.9652716758777425,0.8404308282558565,0.12484084762188608,0.4240380404506363,1.9483634932833411,0.9662329286336899,0.9668325185775757,0.9789113625884056
 DARETies,DARE TIES,Code-Math,0.3961411118507385,0.9988551139831544,0.9984451532363892,0.9922946901580249,0.0260620009611799,0.9255722804078332,0.02532894138283997,0.023444206348130697,0.21137537630274889,0.20525033446028823,0.18471119441092013,0.9710229169092626,0.8738538880061499,0.09716902890311263,0.389331867878257,1.6948807874952878,0.9881209120154381,0.9888792544603348,0.9910706728696823
 DARETies,DARE TIES,Math-Instruction_Tuned,0.400023490190506,0.999519407749176,0.9991625547409058,0.9978318957062808,0.0067088140529492,0.9175358545926346,0.07794717115598046,0.0715050015495038,0.40017827302217485,0.3855882201343775,0.3404878456145525,0.9635411168687089,0.8508404093084915,0.11270070756021744,0.44211800111657656,1.8087811369980706,0.9561433091759681,0.9573605686426163,0.9701771914958954
 TaskArithmetic,Task Arithmetic,Code-Instruction_Tuned,0.3998728990554809,0.9994563460350036,0.9990980625152588,0.9975582221498976,0.0074769781748841,0.9184718628407592,0.06748542751022336,0.06197007668653693,0.31902736425399775,0.3070830319076776,0.2703720036894083,0.9625601635325223,0.8474884413806839,0.11507172215183836,0.45922595280633266,1.8706616382198267,0.9668349489569664,0.9683743968605996,0.9788408130407333
 TaskArithmetic,Task Arithmetic,Code-Math,0.3958191573619842,0.998849391937256,0.998461127281189,0.9921206157659752,0.0263351718248293,0.9266383971382084,0.02494948531349566,0.023119563194417308,0.2079064922407269,0.20188838234171272,0.18354407707229253,0.9710537663631684,0.8828203251092993,0.08823344125386912,0.3945692638608832,1.5972889129952548,0.988736729323864,0.9894404441118241,0.9910610884428024
+TaskArithmetic,Task Arithmetic,Code-Math-Instruction_Tuned,0.3998782336711883,0.9995138049125672,0.999138355255127,0.997832810279552,0.0067336866593553,0.9178324842098177,0.07272877584972695,0.06674016389376215,0.405633632466197,0.39416912458837033,0.34357630088925356,0.9717367916261677,0.8470113752657951,0.1247254163603726,0.3439705837767256,1.8619112828586277,0.9509493231773376,0.9502905383706093,0.9675659328699112
 TaskArithmetic,Task Arithmetic,Math-Instruction_Tuned,0.3999322652816772,0.9995135068893432,0.9991387724876404,0.9978268162550452,0.0067417929143278,0.9178860164511341,0.07268515892821595,0.06670400911641289,0.39210564494132993,0.3748378694057465,0.33807642459869386,0.9559614207080156,0.8622074916806659,0.09375392902734969,0.5363103504262111,1.6780638615265084,0.959263214468956,0.962907212972641,0.9698800936341285
 Ties,TIES,Code-Instruction_Tuned,0.3998082876205444,0.9993883967399596,0.9990370273590088,0.9972114774846051,0.0080389593792734,0.9207768830559291,0.06307845715669955,0.058067960792707346,0.26751709580421446,0.25730721950531,0.22590580526739354,0.9618346772634797,0.8444537145869936,0.11738096267648612,0.4817447761297228,1.9633951731893775,0.9842474162578583,0.9848705530166626,0.9911796778440476
 Ties,TIES,Code-Math,0.3938775062561035,0.99880850315094,0.9984315633773804,0.9899581006289112,0.0292099281400273,0.9307734793125807,0.02326307511752211,0.021652956885821834,0.18338995799422259,0.17841332731768483,0.16238840231671925,0.9728631233085591,0.8854814303509194,0.08738169295763965,0.39200116403326024,1.6542586354465205,0.9912186995148659,0.9917507112026215,0.99300397336483
 Ties,TIES,Math-Instruction_Tuned,0.3999968767166137,0.9992867112159728,0.998902142047882,0.9970908164603084,0.0098975281583745,0.9196473086677686,0.05786696753653783,0.05320746697291281,0.2414184311404824,0.2327281162142753,0.20530384760349984,0.964003100818967,0.8504066845005412,0.11359641631842576,0.4479862290137599,1.86170883662055,0.988047470152378,0.9888453587889672,0.9926868349313736
 WIDEN,WIDEN,Code-Instruction_Tuned,0.3956852257251739,0.9980301856994628,0.9976996779441832,0.9792425002420728,0.0131847366150522,0.9213279698348962,0.050647287040768006,0.0466550100292541,0.21522565763443705,0.20619298126548524,0.18980246856808658,0.9580316005617978,0.8818765878298209,0.07615501273197689,0.5334602316747878,1.5014664286949406,0.9884805098176003,0.9894277065992355,0.9913797855377198
 WIDEN,WIDEN,Code-Math,0.371671974658966,0.9899214506149292,0.9894462823867798,0.9428017931469692,0.0386434939897163,0.9352102909624618,0.019018005658702125,0.017786045338737237,0.1499567064456641,0.14682114133611318,0.13331147627905007,0.9790901975385337,0.8889997615902204,0.09009043594831323,0.3227333904116085,1.713238723536598,0.9945898994803428,0.9948590621352196,0.9956279069185257
+WIDEN,WIDEN,Math-Instruction_Tuned,0.3987025618553161,0.9982672333717346,0.9979044198989868,0.9891916827817784,0.0110401286086271,0.9205030878351139,0.05479621414229463,0.05043220024105492,0.27196276579052203,0.2634418971836566,,0.968668988263531,,,0.39411608430129663,,0.9840415135025978,0.9842148780822754,

tables/T4_mechanism_paired_test.json

@@ -1,8 +1,8 @@
 {
- "n_pairs": 13,
- "mean_diff": 0.10158850601202615,
- "median_diff": 0.09716902890311263,
- "n_positive": 13,
- "p_wilcoxon": 0.000244140625,
- "p_sign": 0.000244140625
+ "n_pairs": 15,
+ "mean_diff": 0.1034629498895703,
+ "median_diff": 0.10656825382684199,
+ "n_positive": 15,
+ "p_wilcoxon": 6.103515625e-05,
+ "p_sign": 6.103515625e-05
 }

tables/T5_coverage.csv

@@ -2,20 +2,20 @@ operator,operator_label,combo,repo_baseline,repo_with_aim,ledger_status,seconds,
 TaskArithmetic,Task Arithmetic,Code-Math,ahn1376/TaskArithmetic___Code-Math,ahn1376/TaskArithmetic___Code-Math___AIM,not-run,,True,True,False,True,
 TaskArithmetic,Task Arithmetic,Code-Instruction_Tuned,ahn1376/TaskArithmetic___Code-Instruction_Tuned,ahn1376/TaskArithmetic___Code-Instruction_Tuned___AIM,not-run,,True,True,False,True,
 TaskArithmetic,Task Arithmetic,Math-Instruction_Tuned,ahn1376/TaskArithmetic___Math-Instruction_Tuned,ahn1376/TaskArithmetic___Math-Instruction_Tuned___AIM,not-run,,True,True,False,True,
-TaskArithmetic,Task Arithmetic,Code-Math-Instruction_Tuned,ahn1376/TaskArithmetic___Code-Math-Instruction_Tuned,ahn1376/TaskArithmetic___Code-Math-Instruction_Tuned___AIM,not-run,,False,False,False,True,
+TaskArithmetic,Task Arithmetic,Code-Math-Instruction_Tuned,ahn1376/TaskArithmetic___Code-Math-Instruction_Tuned,ahn1376/TaskArithmetic___Code-Math-Instruction_Tuned___AIM,not-run,,True,True,False,True,
 Ties,TIES,Code-Math,ahn1376/Ties___Code-Math,ahn1376/Ties___Code-Math___AIM,not-run,,True,True,False,True,
 Ties,TIES,Code-Instruction_Tuned,ahn1376/Ties___Code-Instruction_Tuned,ahn1376/Ties___Code-Instruction_Tuned___AIM,not-run,,True,True,False,True,
 Ties,TIES,Math-Instruction_Tuned,ahn1376/Ties___Math-Instruction_Tuned,ahn1376/Ties___Math-Instruction_Tuned___AIM,not-run,,True,True,False,True,
 Ties,TIES,Code-Math-Instruction_Tuned,ahn1376/Ties___Code-Math-Instruction_Tuned,ahn1376/Ties___Code-Math-Instruction_Tuned___AIM,not-run,,False,False,False,True,
 DARETaskArithmetic,DARE Linear,Code-Math,ahn1376/DARETaskArithmetic___Code-Math,ahn1376/DARETaskArithmetic___Code-Math___AIM,not-run,,True,True,False,True,
 DARETaskArithmetic,DARE Linear,Code-Instruction_Tuned,ahn1376/DARETaskArithmetic___Code-Instruction_Tuned,ahn1376/DARETaskArithmetic___Code-Instruction_Tuned___AIM,not-run,,True,True,False,True,
-DARETaskArithmetic,DARE Linear,Math-Instruction_Tuned,ahn1376/DARETaskArithmetic___Math-Instruction_Tuned,ahn1376/DARETaskArithmetic___Math-Instruction_Tuned___AIM,not-run,,False,False,False,True,
-DARETaskArithmetic,DARE Linear,Code-Math-Instruction_Tuned,ahn1376/DARETaskArithmetic___Code-Math-Instruction_Tuned,ahn1376/DARETaskArithmetic___Code-Math-Instruction_Tuned___AIM,not-run,,False,False,False,True,
+DARETaskArithmetic,DARE Linear,Math-Instruction_Tuned,ahn1376/DARETaskArithmetic___Math-Instruction_Tuned,ahn1376/DARETaskArithmetic___Math-Instruction_Tuned___AIM,not-run,,True,True,False,True,
+DARETaskArithmetic,DARE Linear,Code-Math-Instruction_Tuned,ahn1376/DARETaskArithmetic___Code-Math-Instruction_Tuned,ahn1376/DARETaskArithmetic___Code-Math-Instruction_Tuned___AIM,not-run,,True,True,False,True,
 DARETies,DARE TIES,Code-Math,ahn1376/DARETies___Code-Math,ahn1376/DARETies___Code-Math___AIM,not-run,,True,True,False,True,
 DARETies,DARE TIES,Code-Instruction_Tuned,ahn1376/DARETies___Code-Instruction_Tuned,ahn1376/DARETies___Code-Instruction_Tuned___AIM,not-run,,True,True,False,True,
 DARETies,DARE TIES,Math-Instruction_Tuned,ahn1376/DARETies___Math-Instruction_Tuned,ahn1376/DARETies___Math-Instruction_Tuned___AIM,not-run,,True,True,False,True,
 DARETies,DARE TIES,Code-Math-Instruction_Tuned,ahn1376/DARETies___Code-Math-Instruction_Tuned,ahn1376/DARETies___Code-Math-Instruction_Tuned___AIM,not-run,,False,False,False,True,
 WIDEN,WIDEN,Code-Math,ahn1376/WIDEN___Code-Math,ahn1376/WIDEN___Code-Math___AIM,not-run,,True,True,False,True,
 WIDEN,WIDEN,Code-Instruction_Tuned,ahn1376/WIDEN___Code-Instruction_Tuned,ahn1376/WIDEN___Code-Instruction_Tuned___AIM,not-run,,True,True,False,True,
-WIDEN,WIDEN,Math-Instruction_Tuned,ahn1376/WIDEN___Math-Instruction_Tuned,ahn1376/WIDEN___Math-Instruction_Tuned___AIM,not-run,,False,False,False,True,
+WIDEN,WIDEN,Math-Instruction_Tuned,ahn1376/WIDEN___Math-Instruction_Tuned,ahn1376/WIDEN___Math-Instruction_Tuned___AIM,not-run,,True,True,False,True,
 WIDEN,WIDEN,Code-Math-Instruction_Tuned,ahn1376/WIDEN___Code-Math-Instruction_Tuned,ahn1376/WIDEN___Code-Math-Instruction_Tuned___AIM,not-run,,False,False,False,True,