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 | chirp | 1 | 1.234375 | null | 4 | 4.039018 | Solve this system for x:
4.039018064403225x + 2y = 8
1x + 3y = 9
FINAL: | 0.593058 | 0.593058 |
linear_system | 1 | chirp | 1 | 1.292969 | null | 5 | 3.801219 | Solve this system for x:
3.8012186059995288x + 2y = 8
1x + 3y = 9
FINAL: | 0.63805 | 0.63805 |
linear_system | 1 | chirp | 1 | 1.351563 | null | 6 | 4.067378 | Solve this system for x:
4.067377970678444x + 2y = 8
1x + 3y = 9
FINAL: | 0.588112 | 0.588112 |
linear_system | 1 | chirp | 1 | 1.410156 | null | 7 | 4.078798 | Solve this system for x:
4.078798408012211x + 2y = 8
1x + 3y = 9
FINAL: | 0.586144 | 0.586144 |
linear_system | 1 | chirp | 1 | 1.46875 | null | 8 | 3.858579 | Solve this system for x:
3.8585786437626903x + 2y = 8
1x + 3y = 9
FINAL: | 0.626584 | 0.626584 |
linear_system | 1 | chirp | 1 | 1.527344 | null | 9 | 4.143146 | Solve this system for x:
4.143146165056764x + 2y = 8
1x + 3y = 9
FINAL: | 0.575295 | 0.575295 |
linear_system | 1 | chirp | 1 | 1.585938 | null | 10 | 3.914489 | Solve this system for x:
3.9144889813139434x + 2y = 8
1x + 3y = 9
FINAL: | 0.615797 | 0.615797 |
linear_system | 1 | chirp | 1 | 1.644531 | null | 11 | 3.944296 | Solve this system for x:
3.9442960621229903x + 2y = 8
1x + 3y = 9
FINAL: | 0.610197 | 0.610197 |
linear_system | 1 | chirp | 1 | 1.703125 | null | 12 | 4.196157 | Solve this system for x:
4.196157056080646x + 2y = 8
1x + 3y = 9
FINAL: | 0.566654 | 0.566654 |
linear_system | 1 | chirp | 1 | 1.761719 | null | 13 | 3.939599 | Solve this system for x:
3.9395988101361543x + 2y = 8
1x + 3y = 9
FINAL: | 0.611073 | 0.611073 |
linear_system | 1 | chirp | 1 | 1.820313 | null | 14 | 3.800241 | Solve this system for x:
3.8002409087589655x + 2y = 8
1x + 3y = 9
FINAL: | 0.638249 | 0.638249 |
linear_system | 1 | chirp | 1 | 1.878906 | null | 15 | 3.890935 | Solve this system for x:
3.890935002315593x + 2y = 8
1x + 3y = 9
FINAL: | 0.620296 | 0.620296 |
linear_system | 1 | chirp | 1 | 1.9375 | null | 16 | 4 | Solve this system for x:
3.999999999999999x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | chirp | 1 | 1.996094 | null | 17 | 4.041422 | Solve this system for x:
4.041422275238446x + 2y = 8
1x + 3y = 9
FINAL: | 0.592636 | 0.592636 |
linear_system | 1 | chirp | 1 | 2.054688 | null | 18 | 4.009814 | Solve this system for x:
4.009813534865484x + 2y = 8
1x + 3y = 9
FINAL: | 0.598239 | 0.598239 |
linear_system | 1 | chirp | 1 | 2.113281 | null | 19 | 3.907892 | Solve this system for x:
3.9078922578083515x + 2y = 8
1x + 3y = 9
FINAL: | 0.617051 | 0.617051 |
linear_system | 1 | chirp | 1 | 2.171875 | null | 20 | 3.803843 | Solve this system for x:
3.8038429439193537x + 2y = 8
1x + 3y = 9
FINAL: | 0.637516 | 0.637516 |
linear_system | 1 | chirp | 1 | 2.230469 | null | 21 | 3.903563 | Solve this system for x:
3.903563245584176x + 2y = 8
1x + 3y = 9
FINAL: | 0.617876 | 0.617876 |
linear_system | 1 | chirp | 1 | 2.289063 | null | 22 | 4.180798 | Solve this system for x:
4.180797858624688x + 2y = 8
1x + 3y = 9
FINAL: | 0.569131 | 0.569131 |
linear_system | 1 | chirp | 1 | 2.347656 | null | 23 | 4.002454 | Solve this system for x:
4.002454307657147x + 2y = 8
1x + 3y = 9
FINAL: | 0.599559 | 0.599559 |
linear_system | 1 | chirp | 1 | 2.40625 | null | 24 | 3.858579 | Solve this system for x:
3.8585786437626903x + 2y = 8
1x + 3y = 9
FINAL: | 0.626584 | 0.626584 |
linear_system | 1 | chirp | 1 | 2.464844 | null | 25 | 4.185701 | Solve this system for x:
4.185701216094644x + 2y = 8
1x + 3y = 9
FINAL: | 0.568338 | 0.568338 |
linear_system | 1 | chirp | 1 | 2.523438 | null | 26 | 3.811691 | Solve this system for x:
3.811691186963395x + 2y = 8
1x + 3y = 9
FINAL: | 0.635925 | 0.635925 |
linear_system | 1 | chirp | 1 | 2.582031 | null | 27 | 4.156147 | Solve this system for x:
4.156147445714423x + 2y = 8
1x + 3y = 9
FINAL: | 0.573151 | 0.573151 |
linear_system | 1 | chirp | 1 | 2.640625 | null | 28 | 3.960982 | Solve this system for x:
3.9609819355967666x + 2y = 8
1x + 3y = 9
FINAL: | 0.607106 | 0.607106 |
linear_system | 1 | chirp | 1 | 2.699219 | null | 29 | 3.846967 | Solve this system for x:
3.8469665468755103x + 2y = 8
1x + 3y = 9
FINAL: | 0.628872 | 0.628872 |
linear_system | 1 | chirp | 1 | 2.757813 | null | 30 | 4.14819 | Solve this system for x:
4.148190225070995x + 2y = 8
1x + 3y = 9
FINAL: | 0.574461 | 0.574461 |
linear_system | 1 | chirp | 1 | 2.816406 | null | 31 | 4.164918 | Solve this system for x:
4.164917860557003x + 2y = 8
1x + 3y = 9
FINAL: | 0.571714 | 0.571714 |
linear_system | 1 | chirp | 1 | 2.875 | null | 32 | 4 | Solve this system for x:
3.9999999999999942x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | chirp | 1 | 2.933594 | null | 33 | 3.886854 | Solve this system for x:
3.8868536378432736x + 2y = 8
1x + 3y = 9
FINAL: | 0.621082 | 0.621082 |
linear_system | 1 | chirp | 1 | 2.992188 | null | 34 | 3.85181 | Solve this system for x:
3.8518097749290092x + 2y = 8
1x + 3y = 9
FINAL: | 0.627915 | 0.627915 |
linear_system | 1 | chirp | 1 | 3.050781 | null | 35 | 3.871234 | Solve this system for x:
3.871233691422043x + 2y = 8
1x + 3y = 9
FINAL: | 0.624109 | 0.624109 |
linear_system | 1 | chirp | 1 | 3.109375 | null | 36 | 3.960982 | Solve this system for x:
3.9609819355967697x + 2y = 8
1x + 3y = 9
FINAL: | 0.607106 | 0.607106 |
linear_system | 1 | chirp | 1 | 3.167969 | null | 37 | 4.124972 | Solve this system for x:
4.124971897628472x + 2y = 8
1x + 3y = 9
FINAL: | 0.578318 | 0.578318 |
linear_system | 1 | chirp | 1 | 3.226563 | null | 38 | 4.188309 | Solve this system for x:
4.188308813036605x + 2y = 8
1x + 3y = 9
FINAL: | 0.567917 | 0.567917 |
linear_system | 1 | chirp | 1 | 3.285156 | null | 39 | 3.925737 | Solve this system for x:
3.925736561209639x + 2y = 8
1x + 3y = 9
FINAL: | 0.613672 | 0.613672 |
linear_system | 1 | chirp | 1 | 3.34375 | null | 40 | 3.858579 | Solve this system for x:
3.8585786437626868x + 2y = 8
1x + 3y = 9
FINAL: | 0.626584 | 0.626584 |
linear_system | 1 | chirp | 1 | 3.402344 | null | 41 | 4.199985 | Solve this system for x:
4.199984940367829x + 2y = 8
1x + 3y = 9
FINAL: | 0.56604 | 0.56604 |
linear_system | 1 | chirp | 1 | 3.460938 | null | 42 | 3.819202 | Solve this system for x:
3.8192021413753108x + 2y = 8
1x + 3y = 9
FINAL: | 0.63441 | 0.63441 |
linear_system | 1 | chirp | 1 | 3.519531 | null | 43 | 4.175214 | Solve this system for x:
4.1752140188390845x + 2y = 8
1x + 3y = 9
FINAL: | 0.570036 | 0.570036 |
linear_system | 1 | chirp | 1 | 3.578125 | null | 44 | 3.803843 | Solve this system for x:
3.803842943919353x + 2y = 8
1x + 3y = 9
FINAL: | 0.637516 | 0.637516 |
linear_system | 1 | chirp | 1 | 3.636719 | null | 45 | 4.177528 | Solve this system for x:
4.1775279240805725x + 2y = 8
1x + 3y = 9
FINAL: | 0.569661 | 0.569661 |
linear_system | 1 | chirp | 1 | 3.695313 | null | 46 | 3.990186 | Solve this system for x:
3.9901864651345216x + 2y = 8
1x + 3y = 9
FINAL: | 0.601772 | 0.601772 |
linear_system | 1 | chirp | 1 | 3.753906 | null | 47 | 3.804337 | Solve this system for x:
3.804336525856078x + 2y = 8
1x + 3y = 9
FINAL: | 0.637416 | 0.637416 |
linear_system | 1 | chirp | 1 | 3.8125 | null | 48 | 4 | Solve this system for x:
3.999999999999998x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | chirp | 1 | 3.871094 | null | 49 | 4.167645 | Solve this system for x:
4.167644941110972x + 2y = 8
1x + 3y = 9
FINAL: | 0.571269 | 0.571269 |
linear_system | 1 | chirp | 1 | 3.929688 | null | 50 | 4.199759 | Solve this system for x:
4.1997590912410345x + 2y = 8
1x + 3y = 9
FINAL: | 0.566076 | 0.566076 |
linear_system | 1 | chirp | 1 | 3.988281 | null | 51 | 4.190661 | Solve this system for x:
4.190661208070837x + 2y = 8
1x + 3y = 9
FINAL: | 0.567538 | 0.567538 |
linear_system | 1 | chirp | 1 | 4.046875 | null | 52 | 4.196157 | Solve this system for x:
4.196157056080644x + 2y = 8
1x + 3y = 9
FINAL: | 0.566654 | 0.566654 |
linear_system | 1 | chirp | 1 | 4.105469 | null | 53 | 4.192086 | Solve this system for x:
4.192086103883114x + 2y = 8
1x + 3y = 9
FINAL: | 0.567308 | 0.567308 |
linear_system | 1 | chirp | 1 | 4.164063 | null | 54 | 4.085511 | Solve this system for x:
4.085511018686058x + 2y = 8
1x + 3y = 9
FINAL: | 0.584993 | 0.584993 |
linear_system | 1 | chirp | 1 | 4.222656 | null | 55 | 3.860325 | Solve this system for x:
3.8603247501182105x + 2y = 8
1x + 3y = 9
FINAL: | 0.626241 | 0.626241 |
linear_system | 1 | chirp | 1 | 4.28125 | null | 56 | 3.858579 | Solve this system for x:
3.858578643762678x + 2y = 8
1x + 3y = 9
FINAL: | 0.626584 | 0.626584 |
linear_system | 1 | chirp | 1 | 4.339844 | null | 57 | 4.183823 | Solve this system for x:
4.183822770338007x + 2y = 8
1x + 3y = 9
FINAL: | 0.568641 | 0.568641 |
linear_system | 1 | chirp | 1 | 4.398438 | null | 58 | 3.932622 | Solve this system for x:
3.932622029321569x + 2y = 8
1x + 3y = 9
FINAL: | 0.612378 | 0.612378 |
linear_system | 1 | chirp | 1 | 4.457031 | null | 59 | 3.977956 | Solve this system for x:
3.9779555585412245x + 2y = 8
1x + 3y = 9
FINAL: | 0.603994 | 0.603994 |
linear_system | 1 | chirp | 1 | 4.515625 | null | 60 | 4.039018 | Solve this system for x:
4.039018064403216x + 2y = 8
1x + 3y = 9
FINAL: | 0.593058 | 0.593058 |
linear_system | 1 | chirp | 1 | 4.574219 | null | 61 | 4.017159 | Solve this system for x:
4.0171594624689x + 2y = 8
1x + 3y = 9
FINAL: | 0.596927 | 0.596927 |
linear_system | 1 | chirp | 1 | 4.632813 | null | 62 | 3.865688 | Solve this system for x:
3.8656882090306075x + 2y = 8
1x + 3y = 9
FINAL: | 0.625191 | 0.625191 |
linear_system | 1 | chirp | 1 | 4.691406 | null | 63 | 4.196621 | Solve this system for x:
4.196621097486248x + 2y = 8
1x + 3y = 9
FINAL: | 0.56658 | 0.56658 |
linear_system | 1 | chirp | 1 | 4.75 | null | 64 | 4 | Solve this system for x:
3.9999999999999796x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | chirp | 1 | 4.808594 | null | 65 | 3.803379 | Solve this system for x:
3.803378902513757x + 2y = 8
1x + 3y = 9
FINAL: | 0.63761 | 0.63761 |
linear_system | 1 | chirp | 1 | 4.867188 | null | 66 | 3.865688 | Solve this system for x:
3.865688209030601x + 2y = 8
1x + 3y = 9
FINAL: | 0.625191 | 0.625191 |
linear_system | 1 | chirp | 1 | 4.925781 | null | 67 | 3.982841 | Solve this system for x:
3.9828405375311093x + 2y = 8
1x + 3y = 9
FINAL: | 0.603105 | 0.603105 |
linear_system | 1 | chirp | 1 | 4.984375 | null | 68 | 4.039018 | Solve this system for x:
4.039018064403243x + 2y = 8
1x + 3y = 9
FINAL: | 0.593058 | 0.593058 |
linear_system | 1 | chirp | 1 | 5.042969 | null | 69 | 4.022044 | Solve this system for x:
4.022044441458799x + 2y = 8
1x + 3y = 9
FINAL: | 0.596058 | 0.596058 |
linear_system | 1 | chirp | 1 | 5.101563 | null | 70 | 3.932622 | Solve this system for x:
3.932622029321565x + 2y = 8
1x + 3y = 9
FINAL: | 0.612378 | 0.612378 |
linear_system | 1 | chirp | 1 | 5.160156 | null | 71 | 3.816177 | Solve this system for x:
3.816177229661999x + 2y = 8
1x + 3y = 9
FINAL: | 0.635019 | 0.635019 |
linear_system | 1 | chirp | 1 | 5.21875 | null | 72 | 3.858579 | Solve this system for x:
3.8585786437626712x + 2y = 8
1x + 3y = 9
FINAL: | 0.626584 | 0.626584 |
linear_system | 1 | chirp | 1 | 5.277344 | null | 73 | 4.139675 | Solve this system for x:
4.139675249881786x + 2y = 8
1x + 3y = 9
FINAL: | 0.57587 | 0.57587 |
linear_system | 1 | chirp | 1 | 5.335938 | null | 74 | 4.085511 | Solve this system for x:
4.08551101868608x + 2y = 8
1x + 3y = 9
FINAL: | 0.584993 | 0.584993 |
linear_system | 1 | chirp | 1 | 5.394531 | null | 75 | 3.807914 | Solve this system for x:
3.8079138961168804x + 2y = 8
1x + 3y = 9
FINAL: | 0.63669 | 0.63669 |
linear_system | 1 | chirp | 1 | 5.453125 | null | 76 | 4.196157 | Solve this system for x:
4.196157056080645x + 2y = 8
1x + 3y = 9
FINAL: | 0.566654 | 0.566654 |
linear_system | 1 | chirp | 1 | 5.511719 | null | 77 | 3.809339 | Solve this system for x:
3.8093387919291657x + 2y = 8
1x + 3y = 9
FINAL: | 0.636401 | 0.636401 |
linear_system | 1 | chirp | 1 | 5.570313 | null | 78 | 4.199759 | Solve this system for x:
4.199759091241034x + 2y = 8
1x + 3y = 9
FINAL: | 0.566076 | 0.566076 |
linear_system | 1 | chirp | 1 | 5.628906 | null | 79 | 3.832355 | Solve this system for x:
3.8323550588890147x + 2y = 8
1x + 3y = 9
FINAL: | 0.631774 | 0.631774 |
linear_system | 1 | chirp | 1 | 5.6875 | null | 80 | 4 | Solve this system for x:
3.999999999999994x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | chirp | 1 | 5.746094 | null | 81 | 4.195663 | Solve this system for x:
4.195663474143919x + 2y = 8
1x + 3y = 9
FINAL: | 0.566733 | 0.566733 |
linear_system | 1 | chirp | 1 | 5.804688 | null | 82 | 3.990186 | Solve this system for x:
3.990186465134512x + 2y = 8
1x + 3y = 9
FINAL: | 0.601772 | 0.601772 |
linear_system | 1 | chirp | 1 | 5.863281 | null | 83 | 3.822472 | Solve this system for x:
3.8224720759194253x + 2y = 8
1x + 3y = 9
FINAL: | 0.633753 | 0.633753 |
linear_system | 1 | chirp | 1 | 5.921875 | null | 84 | 3.803843 | Solve this system for x:
3.8038429439193533x + 2y = 8
1x + 3y = 9
FINAL: | 0.637516 | 0.637516 |
linear_system | 1 | chirp | 1 | 5.980469 | null | 85 | 3.824786 | Solve this system for x:
3.824785981160925x + 2y = 8
1x + 3y = 9
FINAL: | 0.633288 | 0.633288 |
linear_system | 1 | chirp | 1 | 6.039063 | null | 86 | 3.819202 | Solve this system for x:
3.819202141375317x + 2y = 8
1x + 3y = 9
FINAL: | 0.63441 | 0.63441 |
linear_system | 1 | chirp | 1 | 6.097656 | null | 87 | 3.800015 | Solve this system for x:
3.800015059632171x + 2y = 8
1x + 3y = 9
FINAL: | 0.638295 | 0.638295 |
linear_system | 1 | chirp | 1 | 6.15625 | null | 88 | 3.858579 | Solve this system for x:
3.858578643762683x + 2y = 8
1x + 3y = 9
FINAL: | 0.626584 | 0.626584 |
linear_system | 1 | chirp | 1 | 6.214844 | null | 89 | 4.074263 | Solve this system for x:
4.074263438790361x + 2y = 8
1x + 3y = 9
FINAL: | 0.586924 | 0.586924 |
linear_system | 1 | chirp | 1 | 6.273438 | null | 90 | 4.188309 | Solve this system for x:
4.1883088130366x + 2y = 8
1x + 3y = 9
FINAL: | 0.567917 | 0.567917 |
linear_system | 1 | chirp | 1 | 6.332031 | null | 91 | 3.875028 | Solve this system for x:
3.8750281023715214x + 2y = 8
1x + 3y = 9
FINAL: | 0.623371 | 0.623371 |
linear_system | 1 | chirp | 1 | 6.390625 | null | 92 | 3.960982 | Solve this system for x:
3.9609819355967373x + 2y = 8
1x + 3y = 9
FINAL: | 0.607106 | 0.607106 |
linear_system | 1 | chirp | 1 | 6.449219 | null | 93 | 4.128766 | Solve this system for x:
4.12876630857797x + 2y = 8
1x + 3y = 9
FINAL: | 0.577684 | 0.577684 |
linear_system | 1 | chirp | 1 | 6.507813 | null | 94 | 3.85181 | Solve this system for x:
3.8518097749289932x + 2y = 8
1x + 3y = 9
FINAL: | 0.627915 | 0.627915 |
linear_system | 1 | chirp | 1 | 6.566406 | null | 95 | 4.113146 | Solve this system for x:
4.113146362156771x + 2y = 8
1x + 3y = 9
FINAL: | 0.580302 | 0.580302 |
linear_system | 1 | chirp | 1 | 6.625 | null | 96 | 4 | Solve this system for x:
3.999999999999968x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | chirp | 1 | 6.683594 | null | 97 | 3.835082 | Solve this system for x:
3.8350821394430152x + 2y = 8
1x + 3y = 9
FINAL: | 0.63123 | 0.63123 |
linear_system | 1 | chirp | 1 | 6.742188 | null | 98 | 4.14819 | Solve this system for x:
4.148190225070977x + 2y = 8
1x + 3y = 9
FINAL: | 0.574461 | 0.574461 |
linear_system | 1 | chirp | 1 | 6.800781 | null | 99 | 4.153033 | Solve this system for x:
4.153033453124467x + 2y = 8
1x + 3y = 9
FINAL: | 0.573663 | 0.573663 |
linear_system | 1 | chirp | 1 | 6.859375 | null | 100 | 3.960982 | Solve this system for x:
3.960981935596736x + 2y = 8
1x + 3y = 9
FINAL: | 0.607106 | 0.607106 |
linear_system | 1 | chirp | 1 | 6.917969 | null | 101 | 3.843853 | Solve this system for x:
3.8438525542855952x + 2y = 8
1x + 3y = 9
FINAL: | 0.629488 | 0.629488 |
linear_system | 1 | chirp | 1 | 6.976563 | null | 102 | 3.811691 | Solve this system for x:
3.8116911869633836x + 2y = 8
1x + 3y = 9
FINAL: | 0.635925 | 0.635925 |
linear_system | 1 | chirp | 1 | 7.035156 | null | 103 | 3.814299 | Solve this system for x:
3.8142987839053446x + 2y = 8
1x + 3y = 9
FINAL: | 0.635398 | 0.635398 |
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