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 | 0 | sinusoid | 2.5 | 1 | 0 | 40 | 3.646447 | Solve this system for x:
3.646446609406726x + 1y = 7
1x + 5y = 11
FINAL: | 1.392739 | 1.392739 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 41 | 3.613495 | Solve this system for x:
3.6134947733186316x + 1y = 7
1x + 5y = 11
FINAL: | 1.406183 | 1.406183 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 42 | 3.584265 | Solve this system for x:
3.5842651938487275x + 1y = 7
1x + 5y = 11
FINAL: | 1.418329 | 1.418329 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 43 | 3.559039 | Solve this system for x:
3.5590393678258225x + 1y = 7
1x + 5y = 11
FINAL: | 1.42898 | 1.42898 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 44 | 3.53806 | Solve this system for x:
3.538060233744357x + 1y = 7
1x + 5y = 11
FINAL: | 1.437961 | 1.437961 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 45 | 3.52153 | Solve this system for x:
3.5215298321338957x + 1y = 7
1x + 5y = 11
FINAL: | 1.445117 | 1.445117 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 46 | 3.509607 | Solve this system for x:
3.509607359798385x + 1y = 7
1x + 5y = 11
FINAL: | 1.450323 | 1.450323 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 47 | 3.502408 | Solve this system for x:
3.5024076366639014x + 1y = 7
1x + 5y = 11
FINAL: | 1.453485 | 1.453485 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 48 | 3.5 | Solve this system for x:
3.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.454545 | 1.454545 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 49 | 3.502408 | Solve this system for x:
3.5024076366639014x + 1y = 7
1x + 5y = 11
FINAL: | 1.453485 | 1.453485 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 50 | 3.509607 | Solve this system for x:
3.509607359798385x + 1y = 7
1x + 5y = 11
FINAL: | 1.450323 | 1.450323 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 51 | 3.52153 | Solve this system for x:
3.5215298321338957x + 1y = 7
1x + 5y = 11
FINAL: | 1.445117 | 1.445117 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 52 | 3.53806 | Solve this system for x:
3.5380602337443565x + 1y = 7
1x + 5y = 11
FINAL: | 1.437961 | 1.437961 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 53 | 3.559039 | Solve this system for x:
3.5590393678258225x + 1y = 7
1x + 5y = 11
FINAL: | 1.42898 | 1.42898 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 54 | 3.584265 | Solve this system for x:
3.584265193848727x + 1y = 7
1x + 5y = 11
FINAL: | 1.418329 | 1.418329 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 55 | 3.613495 | Solve this system for x:
3.6134947733186316x + 1y = 7
1x + 5y = 11
FINAL: | 1.406183 | 1.406183 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 56 | 3.646447 | Solve this system for x:
3.646446609406726x + 1y = 7
1x + 5y = 11
FINAL: | 1.392739 | 1.392739 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 57 | 3.682803 | Solve this system for x:
3.682803357918177x + 1y = 7
1x + 5y = 11
FINAL: | 1.3782 | 1.3782 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 58 | 3.722215 | Solve this system for x:
3.722214883490199x + 1y = 7
1x + 5y = 11
FINAL: | 1.362779 | 1.362779 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 59 | 3.764302 | Solve this system for x:
3.764301631587001x + 1y = 7
1x + 5y = 11
FINAL: | 1.346687 | 1.346687 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 60 | 3.808658 | Solve this system for x:
3.8086582838174547x + 1y = 7
1x + 5y = 11
FINAL: | 1.330134 | 1.330134 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 61 | 3.854858 | Solve this system for x:
3.854857661372769x + 1y = 7
1x + 5y = 11
FINAL: | 1.313321 | 1.313321 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 62 | 3.902455 | Solve this system for x:
3.9024548389919356x + 1y = 7
1x + 5y = 11
FINAL: | 1.296437 | 1.296437 |
linear_system | 0 | sinusoid | 2.5 | 1 | 0 | 63 | 3.950991 | Solve this system for x:
3.9509914298352196x + 1y = 7
1x + 5y = 11
FINAL: | 1.279662 | 1.279662 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 0 | 4 | Solve this system for x:
4.0x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 1 | 4.097545 | Solve this system for x:
4.097545161008064x + 1y = 7
1x + 5y = 11
FINAL: | 1.231544 | 1.231544 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 2 | 4.191342 | Solve this system for x:
4.191341716182545x + 1y = 7
1x + 5y = 11
FINAL: | 1.202603 | 1.202603 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 3 | 4.277785 | Solve this system for x:
4.277785116509801x + 1y = 7
1x + 5y = 11
FINAL: | 1.17711 | 1.17711 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 4 | 4.353553 | Solve this system for x:
4.353553390593274x + 1y = 7
1x + 5y = 11
FINAL: | 1.155637 | 1.155637 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 5 | 4.415735 | Solve this system for x:
4.4157348061512725x + 1y = 7
1x + 5y = 11
FINAL: | 1.138592 | 1.138592 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 6 | 4.46194 | Solve this system for x:
4.461939766255643x + 1y = 7
1x + 5y = 11
FINAL: | 1.126248 | 1.126248 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 7 | 4.490393 | Solve this system for x:
4.490392640201615x + 1y = 7
1x + 5y = 11
FINAL: | 1.118779 | 1.118779 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 8 | 4.5 | Solve this system for x:
4.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.116279 | 1.116279 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 9 | 4.490393 | Solve this system for x:
4.490392640201615x + 1y = 7
1x + 5y = 11
FINAL: | 1.118779 | 1.118779 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 10 | 4.46194 | Solve this system for x:
4.461939766255643x + 1y = 7
1x + 5y = 11
FINAL: | 1.126248 | 1.126248 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 11 | 4.415735 | Solve this system for x:
4.4157348061512725x + 1y = 7
1x + 5y = 11
FINAL: | 1.138592 | 1.138592 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 12 | 4.353553 | Solve this system for x:
4.353553390593274x + 1y = 7
1x + 5y = 11
FINAL: | 1.155637 | 1.155637 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 13 | 4.277785 | Solve this system for x:
4.277785116509801x + 1y = 7
1x + 5y = 11
FINAL: | 1.17711 | 1.17711 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 14 | 4.191342 | Solve this system for x:
4.191341716182545x + 1y = 7
1x + 5y = 11
FINAL: | 1.202603 | 1.202603 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 15 | 4.097545 | Solve this system for x:
4.097545161008064x + 1y = 7
1x + 5y = 11
FINAL: | 1.231544 | 1.231544 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 16 | 4 | Solve this system for x:
4.0x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 17 | 3.902455 | Solve this system for x:
3.902454838991936x + 1y = 7
1x + 5y = 11
FINAL: | 1.296437 | 1.296437 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 18 | 3.808658 | Solve this system for x:
3.808658283817455x + 1y = 7
1x + 5y = 11
FINAL: | 1.330134 | 1.330134 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 19 | 3.722215 | Solve this system for x:
3.722214883490199x + 1y = 7
1x + 5y = 11
FINAL: | 1.362779 | 1.362779 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 20 | 3.646447 | Solve this system for x:
3.646446609406726x + 1y = 7
1x + 5y = 11
FINAL: | 1.392739 | 1.392739 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 21 | 3.584265 | Solve this system for x:
3.5842651938487275x + 1y = 7
1x + 5y = 11
FINAL: | 1.418329 | 1.418329 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 22 | 3.53806 | Solve this system for x:
3.538060233744357x + 1y = 7
1x + 5y = 11
FINAL: | 1.437961 | 1.437961 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 23 | 3.509607 | Solve this system for x:
3.509607359798385x + 1y = 7
1x + 5y = 11
FINAL: | 1.450323 | 1.450323 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 24 | 3.5 | Solve this system for x:
3.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.454545 | 1.454545 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 25 | 3.509607 | Solve this system for x:
3.509607359798385x + 1y = 7
1x + 5y = 11
FINAL: | 1.450323 | 1.450323 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 26 | 3.53806 | Solve this system for x:
3.5380602337443565x + 1y = 7
1x + 5y = 11
FINAL: | 1.437961 | 1.437961 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 27 | 3.584265 | Solve this system for x:
3.584265193848727x + 1y = 7
1x + 5y = 11
FINAL: | 1.418329 | 1.418329 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 28 | 3.646447 | Solve this system for x:
3.646446609406726x + 1y = 7
1x + 5y = 11
FINAL: | 1.392739 | 1.392739 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 29 | 3.722215 | Solve this system for x:
3.722214883490199x + 1y = 7
1x + 5y = 11
FINAL: | 1.362779 | 1.362779 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 30 | 3.808658 | Solve this system for x:
3.8086582838174547x + 1y = 7
1x + 5y = 11
FINAL: | 1.330134 | 1.330134 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 31 | 3.902455 | Solve this system for x:
3.9024548389919356x + 1y = 7
1x + 5y = 11
FINAL: | 1.296437 | 1.296437 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 32 | 4 | Solve this system for x:
4.0x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 33 | 4.097545 | Solve this system for x:
4.097545161008064x + 1y = 7
1x + 5y = 11
FINAL: | 1.231544 | 1.231544 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 34 | 4.191342 | Solve this system for x:
4.191341716182545x + 1y = 7
1x + 5y = 11
FINAL: | 1.202603 | 1.202603 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 35 | 4.277785 | Solve this system for x:
4.277785116509801x + 1y = 7
1x + 5y = 11
FINAL: | 1.17711 | 1.17711 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 36 | 4.353553 | Solve this system for x:
4.353553390593274x + 1y = 7
1x + 5y = 11
FINAL: | 1.155637 | 1.155637 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 37 | 4.415735 | Solve this system for x:
4.4157348061512725x + 1y = 7
1x + 5y = 11
FINAL: | 1.138592 | 1.138592 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 38 | 4.46194 | Solve this system for x:
4.461939766255643x + 1y = 7
1x + 5y = 11
FINAL: | 1.126248 | 1.126248 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 39 | 4.490393 | Solve this system for x:
4.490392640201615x + 1y = 7
1x + 5y = 11
FINAL: | 1.118779 | 1.118779 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 40 | 4.5 | Solve this system for x:
4.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.116279 | 1.116279 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 41 | 4.490393 | Solve this system for x:
4.490392640201615x + 1y = 7
1x + 5y = 11
FINAL: | 1.118779 | 1.118779 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 42 | 4.46194 | Solve this system for x:
4.461939766255643x + 1y = 7
1x + 5y = 11
FINAL: | 1.126248 | 1.126248 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 43 | 4.415735 | Solve this system for x:
4.4157348061512725x + 1y = 7
1x + 5y = 11
FINAL: | 1.138592 | 1.138592 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 44 | 4.353553 | Solve this system for x:
4.353553390593274x + 1y = 7
1x + 5y = 11
FINAL: | 1.155637 | 1.155637 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 45 | 4.277785 | Solve this system for x:
4.2777851165098015x + 1y = 7
1x + 5y = 11
FINAL: | 1.17711 | 1.17711 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 46 | 4.191342 | Solve this system for x:
4.191341716182546x + 1y = 7
1x + 5y = 11
FINAL: | 1.202603 | 1.202603 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 47 | 4.097545 | Solve this system for x:
4.097545161008064x + 1y = 7
1x + 5y = 11
FINAL: | 1.231544 | 1.231544 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 48 | 4 | Solve this system for x:
4.0x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 49 | 3.902455 | Solve this system for x:
3.9024548389919365x + 1y = 7
1x + 5y = 11
FINAL: | 1.296437 | 1.296437 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 50 | 3.808658 | Solve this system for x:
3.808658283817455x + 1y = 7
1x + 5y = 11
FINAL: | 1.330134 | 1.330134 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 51 | 3.722215 | Solve this system for x:
3.7222148834901994x + 1y = 7
1x + 5y = 11
FINAL: | 1.362779 | 1.362779 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 52 | 3.646447 | Solve this system for x:
3.646446609406726x + 1y = 7
1x + 5y = 11
FINAL: | 1.392739 | 1.392739 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 53 | 3.584265 | Solve this system for x:
3.5842651938487275x + 1y = 7
1x + 5y = 11
FINAL: | 1.418329 | 1.418329 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 54 | 3.53806 | Solve this system for x:
3.538060233744357x + 1y = 7
1x + 5y = 11
FINAL: | 1.437961 | 1.437961 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 55 | 3.509607 | Solve this system for x:
3.509607359798385x + 1y = 7
1x + 5y = 11
FINAL: | 1.450323 | 1.450323 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 56 | 3.5 | Solve this system for x:
3.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.454545 | 1.454545 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 57 | 3.509607 | Solve this system for x:
3.509607359798385x + 1y = 7
1x + 5y = 11
FINAL: | 1.450323 | 1.450323 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 58 | 3.53806 | Solve this system for x:
3.5380602337443565x + 1y = 7
1x + 5y = 11
FINAL: | 1.437961 | 1.437961 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 59 | 3.584265 | Solve this system for x:
3.584265193848727x + 1y = 7
1x + 5y = 11
FINAL: | 1.418329 | 1.418329 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 60 | 3.646447 | Solve this system for x:
3.6464466094067256x + 1y = 7
1x + 5y = 11
FINAL: | 1.392739 | 1.392739 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 61 | 3.722215 | Solve this system for x:
3.722214883490199x + 1y = 7
1x + 5y = 11
FINAL: | 1.362779 | 1.362779 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 62 | 3.808658 | Solve this system for x:
3.8086582838174547x + 1y = 7
1x + 5y = 11
FINAL: | 1.330134 | 1.330134 |
linear_system | 0 | sinusoid | 2.5 | 2 | 0 | 63 | 3.902455 | Solve this system for x:
3.902454838991936x + 1y = 7
1x + 5y = 11
FINAL: | 1.296437 | 1.296437 |
linear_system | 0 | sinusoid | 2.5 | 4 | 0 | 0 | 4 | Solve this system for x:
4.0x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 4 | 0 | 1 | 4.191342 | Solve this system for x:
4.191341716182545x + 1y = 7
1x + 5y = 11
FINAL: | 1.202603 | 1.202603 |
linear_system | 0 | sinusoid | 2.5 | 4 | 0 | 2 | 4.353553 | Solve this system for x:
4.353553390593274x + 1y = 7
1x + 5y = 11
FINAL: | 1.155637 | 1.155637 |
linear_system | 0 | sinusoid | 2.5 | 4 | 0 | 3 | 4.46194 | Solve this system for x:
4.461939766255643x + 1y = 7
1x + 5y = 11
FINAL: | 1.126248 | 1.126248 |
linear_system | 0 | sinusoid | 2.5 | 4 | 0 | 4 | 4.5 | Solve this system for x:
4.5x + 1y = 7
1x + 5y = 11
FINAL: | 1.116279 | 1.116279 |
linear_system | 0 | sinusoid | 2.5 | 4 | 0 | 5 | 4.46194 | Solve this system for x:
4.461939766255643x + 1y = 7
1x + 5y = 11
FINAL: | 1.126248 | 1.126248 |
linear_system | 0 | sinusoid | 2.5 | 4 | 0 | 6 | 4.353553 | Solve this system for x:
4.353553390593274x + 1y = 7
1x + 5y = 11
FINAL: | 1.155637 | 1.155637 |
linear_system | 0 | sinusoid | 2.5 | 4 | 0 | 7 | 4.191342 | Solve this system for x:
4.191341716182545x + 1y = 7
1x + 5y = 11
FINAL: | 1.202603 | 1.202603 |
linear_system | 0 | sinusoid | 2.5 | 4 | 0 | 8 | 4 | Solve this system for x:
4.0x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | sinusoid | 2.5 | 4 | 0 | 9 | 3.808658 | Solve this system for x:
3.808658283817455x + 1y = 7
1x + 5y = 11
FINAL: | 1.330134 | 1.330134 |
linear_system | 0 | sinusoid | 2.5 | 4 | 0 | 10 | 3.646447 | Solve this system for x:
3.646446609406726x + 1y = 7
1x + 5y = 11
FINAL: | 1.392739 | 1.392739 |
linear_system | 0 | sinusoid | 2.5 | 4 | 0 | 11 | 3.53806 | Solve this system for x:
3.538060233744357x + 1y = 7
1x + 5y = 11
FINAL: | 1.437961 | 1.437961 |
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