family stringclasses 1 value | question_id int64 0 2 | signal_type stringclasses 2 values | amplitude_scale float64 0.5 2.5 | frequency_cycles float64 1 16 | phase_deg float64 0 240 ⌀ | time_step int64 0 255 | p_value float64 3.5 4.5 | prompt stringlengths 59 76 | ground_truth float64 0.52 2.33 | symbolic_baseline_answer float64 0.52 2.33 |
|---|---|---|---|---|---|---|---|---|---|---|
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 4 | 4.433013 | Solve this system for x:
4.43301270189222x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 5 | 3.75 | Solve this system for x:
3.7500000000000004x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 6 | 3.566987 | Solve this system for x:
3.5669872981077804x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 7 | 4.25 | Solve this system for x:
4.249999999999999x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 8 | 4.433013 | Solve this system for x:
4.43301270189222x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 9 | 3.75 | Solve this system for x:
3.7500000000000004x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 10 | 3.566987 | Solve this system for x:
3.566987298107781x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 11 | 4.25 | Solve this system for x:
4.249999999999999x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 12 | 4.433013 | Solve this system for x:
4.43301270189222x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 13 | 3.75 | Solve this system for x:
3.749999999999999x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 14 | 3.566987 | Solve this system for x:
3.566987298107781x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 15 | 4.25 | Solve this system for x:
4.249999999999999x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 16 | 4.433013 | Solve this system for x:
4.43301270189222x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 17 | 3.75 | Solve this system for x:
3.749999999999999x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 18 | 3.566987 | Solve this system for x:
3.566987298107781x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 19 | 4.25 | Solve this system for x:
4.249999999999999x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 20 | 4.433013 | Solve this system for x:
4.4330127018922205x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 21 | 3.75 | Solve this system for x:
3.750000000000001x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 22 | 3.566987 | Solve this system for x:
3.5669872981077786x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 23 | 4.25 | Solve this system for x:
4.249999999999997x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 24 | 4.433013 | Solve this system for x:
4.4330127018922205x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 25 | 3.75 | Solve this system for x:
3.750000000000001x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 26 | 3.566987 | Solve this system for x:
3.5669872981077804x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 27 | 4.25 | Solve this system for x:
4.249999999999997x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 28 | 4.433013 | Solve this system for x:
4.4330127018922205x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 29 | 3.75 | Solve this system for x:
3.750000000000001x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 30 | 3.566987 | Solve this system for x:
3.5669872981077786x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 31 | 4.25 | Solve this system for x:
4.249999999999997x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 32 | 4.433013 | Solve this system for x:
4.4330127018922205x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 33 | 3.75 | Solve this system for x:
3.7500000000000013x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 34 | 3.566987 | Solve this system for x:
3.5669872981077804x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 35 | 4.25 | Solve this system for x:
4.249999999999997x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 36 | 4.433013 | Solve this system for x:
4.4330127018922205x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 37 | 3.75 | Solve this system for x:
3.7500000000000013x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 38 | 3.566987 | Solve this system for x:
3.5669872981077786x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 39 | 4.25 | Solve this system for x:
4.249999999999997x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 40 | 4.433013 | Solve this system for x:
4.4330127018922205x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 41 | 3.75 | Solve this system for x:
3.7500000000000044x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 42 | 3.566987 | Solve this system for x:
3.5669872981077804x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 43 | 4.25 | Solve this system for x:
4.249999999999997x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 44 | 4.433013 | Solve this system for x:
4.433012701892222x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 45 | 3.75 | Solve this system for x:
3.7500000000000013x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 46 | 3.566987 | Solve this system for x:
3.5669872981077786x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 47 | 4.25 | Solve this system for x:
4.25x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 48 | 4.433013 | Solve this system for x:
4.4330127018922205x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 49 | 3.75 | Solve this system for x:
3.7500000000000044x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 50 | 3.566987 | Solve this system for x:
3.5669872981077804x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 51 | 4.25 | Solve this system for x:
4.2499999999999964x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 52 | 4.433013 | Solve this system for x:
4.433012701892219x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 53 | 3.75 | Solve this system for x:
3.7500000000000018x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 54 | 3.566987 | Solve this system for x:
3.566987298107778x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 55 | 4.25 | Solve this system for x:
4.25x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 56 | 4.433013 | Solve this system for x:
4.4330127018922205x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 57 | 3.75 | Solve this system for x:
3.750000000000005x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 58 | 3.566987 | Solve this system for x:
3.56698729810778x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 59 | 4.25 | Solve this system for x:
4.2499999999999964x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 60 | 4.433013 | Solve this system for x:
4.433012701892222x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 61 | 3.75 | Solve this system for x:
3.7500000000000018x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 62 | 3.566987 | Solve this system for x:
3.566987298107778x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 16 | 120 | 63 | 4.25 | Solve this system for x:
4.25x + 2y = 8
1x + 3y = 9
FINAL: | 0.55814 | 0.55814 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 0 | 3.566987 | Solve this system for x:
3.566987298107781x + 2y = 8
1x + 3y = 9
FINAL: | 0.689579 | 0.689579 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 1 | 3.544568 | Solve this system for x:
3.544568087539412x + 2y = 8
1x + 3y = 9
FINAL: | 0.694951 | 0.694951 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 2 | 3.526535 | Solve this system for x:
3.5265349352524473x + 2y = 8
1x + 3y = 9
FINAL: | 0.699333 | 0.699333 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 3 | 3.513062 | Solve this system for x:
3.513061510361333x + 2y = 8
1x + 3y = 9
FINAL: | 0.702643 | 0.702643 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 4 | 3.504278 | Solve this system for x:
3.504277569313095x + 2y = 8
1x + 3y = 9
FINAL: | 0.704818 | 0.704818 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 5 | 3.500268 | Solve this system for x:
3.500267706261817x + 2y = 8
1x + 3y = 9
FINAL: | 0.705816 | 0.705816 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 6 | 3.501071 | Solve this system for x:
3.501070538380698x + 2y = 8
1x + 3y = 9
FINAL: | 0.705616 | 0.705616 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 7 | 3.506678 | Solve this system for x:
3.5066783339575607x + 2y = 8
1x + 3y = 9
FINAL: | 0.704222 | 0.704222 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 8 | 3.517037 | Solve this system for x:
3.5170370868554657x + 2y = 8
1x + 3y = 9
FINAL: | 0.701663 | 0.701663 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 9 | 3.532047 | Solve this system for x:
3.532047036621337x + 2y = 8
1x + 3y = 9
FINAL: | 0.697988 | 0.697988 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 10 | 3.551564 | Solve this system for x:
3.5515636292336557x + 2y = 8
1x + 3y = 9
FINAL: | 0.693266 | 0.693266 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 11 | 3.575399 | Solve this system for x:
3.57539890923671x + 2y = 8
1x + 3y = 9
FINAL: | 0.687585 | 0.687585 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 12 | 3.603323 | Solve this system for x:
3.6033233298543825x + 2y = 8
1x + 3y = 9
FINAL: | 0.681047 | 0.681047 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 13 | 3.635068 | Solve this system for x:
3.635067963651082x + 2y = 8
1x + 3y = 9
FINAL: | 0.673763 | 0.673763 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 14 | 3.670327 | Solve this system for x:
3.6703270924499654x + 2y = 8
1x + 3y = 9
FINAL: | 0.665854 | 0.665854 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 15 | 3.708761 | Solve this system for x:
3.7087611515660983x + 2y = 8
1x + 3y = 9
FINAL: | 0.657442 | 0.657442 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 16 | 3.75 | Solve this system for x:
3.75x + 2y = 8
1x + 3y = 9
FINAL: | 0.648649 | 0.648649 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 17 | 3.793646 | Solve this system for x:
3.7936464850978027x + 2y = 8
1x + 3y = 9
FINAL: | 0.639595 | 0.639595 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 18 | 3.83928 | Solve this system for x:
3.839280267348419x + 2y = 8
1x + 3y = 9
FINAL: | 0.630395 | 0.630395 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 19 | 3.886462 | Solve this system for x:
3.886461868482813x + 2y = 8
1x + 3y = 9
FINAL: | 0.621158 | 0.621158 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 20 | 3.934737 | Solve this system for x:
3.9347369038899735x + 2y = 8
1x + 3y = 9
FINAL: | 0.611982 | 0.611982 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 21 | 3.98364 | Solve this system for x:
3.983640458589112x + 2y = 8
1x + 3y = 9
FINAL: | 0.602959 | 0.602959 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 22 | 4.032702 | Solve this system for x:
4.0327015646150715x + 2y = 8
1x + 3y = 9
FINAL: | 0.594171 | 0.594171 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 23 | 4.081448 | Solve this system for x:
4.081447736697294x + 2y = 8
1x + 3y = 9
FINAL: | 0.585689 | 0.585689 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 24 | 4.12941 | Solve this system for x:
4.12940952255126x + 2y = 8
1x + 3y = 9
FINAL: | 0.577577 | 0.577577 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 25 | 4.176125 | Solve this system for x:
4.1761250239606165x + 2y = 8
1x + 3y = 9
FINAL: | 0.569889 | 0.569889 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 26 | 4.221144 | Solve this system for x:
4.221144345109501x + 2y = 8
1x + 3y = 9
FINAL: | 0.562671 | 0.562671 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 27 | 4.264034 | Solve this system for x:
4.264033925325184x + 2y = 8
1x + 3y = 9
FINAL: | 0.555962 | 0.555962 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 28 | 4.304381 | Solve this system for x:
4.304380714504361x + 2y = 8
1x + 3y = 9
FINAL: | 0.549796 | 0.549796 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 29 | 4.341796 | Solve this system for x:
4.341796151011436x + 2y = 8
1x + 3y = 9
FINAL: | 0.544199 | 0.544199 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 30 | 4.37592 | Solve this system for x:
4.375919903739488x + 2y = 8
1x + 3y = 9
FINAL: | 0.539192 | 0.539192 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 31 | 4.406423 | Solve this system for x:
4.406423342295807x + 2y = 8
1x + 3y = 9
FINAL: | 0.534794 | 0.534794 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 32 | 4.433013 | Solve this system for x:
4.433012701892219x + 2y = 8
1x + 3y = 9
FINAL: | 0.531019 | 0.531019 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 33 | 4.455432 | Solve this system for x:
4.455431912460588x + 2y = 8
1x + 3y = 9
FINAL: | 0.527876 | 0.527876 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 34 | 4.473465 | Solve this system for x:
4.473465064747553x + 2y = 8
1x + 3y = 9
FINAL: | 0.525376 | 0.525376 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 35 | 4.486938 | Solve this system for x:
4.486938489638667x + 2y = 8
1x + 3y = 9
FINAL: | 0.523523 | 0.523523 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 36 | 4.495722 | Solve this system for x:
4.4957224306869055x + 2y = 8
1x + 3y = 9
FINAL: | 0.522322 | 0.522322 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 37 | 4.499732 | Solve this system for x:
4.499732293738183x + 2y = 8
1x + 3y = 9
FINAL: | 0.521776 | 0.521776 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 38 | 4.498929 | Solve this system for x:
4.498929461619301x + 2y = 8
1x + 3y = 9
FINAL: | 0.521885 | 0.521885 |
linear_system | 1 | sinusoid | 2.5 | 1 | 240 | 39 | 4.493322 | Solve this system for x:
4.49332166604244x + 2y = 8
1x + 3y = 9
FINAL: | 0.52265 | 0.52265 |
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