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 | 12.953125 | null | 204 | 4.196157 | Solve this system for x:
4.1961570560806125x + 2y = 8
1x + 3y = 9
FINAL: | 0.566654 | 0.566654 |
linear_system | 1 | chirp | 1 | 13.011719 | null | 205 | 4.190661 | Solve this system for x:
4.190661208070794x + 2y = 8
1x + 3y = 9
FINAL: | 0.567538 | 0.567538 |
linear_system | 1 | chirp | 1 | 13.070313 | null | 206 | 4.199759 | Solve this system for x:
4.199759091241032x + 2y = 8
1x + 3y = 9
FINAL: | 0.566076 | 0.566076 |
linear_system | 1 | chirp | 1 | 13.128906 | null | 207 | 4.167645 | Solve this system for x:
4.167644941110919x + 2y = 8
1x + 3y = 9
FINAL: | 0.571269 | 0.571269 |
linear_system | 1 | chirp | 1 | 13.1875 | null | 208 | 4 | Solve this system for x:
4.000000000000065x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | chirp | 1 | 13.246094 | null | 209 | 3.804337 | Solve this system for x:
3.804336525856107x + 2y = 8
1x + 3y = 9
FINAL: | 0.637416 | 0.637416 |
linear_system | 1 | chirp | 1 | 13.304688 | null | 210 | 3.990186 | Solve this system for x:
3.990186465134331x + 2y = 8
1x + 3y = 9
FINAL: | 0.601772 | 0.601772 |
linear_system | 1 | chirp | 1 | 13.363281 | null | 211 | 4.177528 | Solve this system for x:
4.177527924080642x + 2y = 8
1x + 3y = 9
FINAL: | 0.569661 | 0.569661 |
linear_system | 1 | chirp | 1 | 13.421875 | null | 212 | 3.803843 | Solve this system for x:
3.8038429439193653x + 2y = 8
1x + 3y = 9
FINAL: | 0.637516 | 0.637516 |
linear_system | 1 | chirp | 1 | 13.480469 | null | 213 | 4.175214 | Solve this system for x:
4.175214018839128x + 2y = 8
1x + 3y = 9
FINAL: | 0.570036 | 0.570036 |
linear_system | 1 | chirp | 1 | 13.539063 | null | 214 | 3.819202 | Solve this system for x:
3.819202141375333x + 2y = 8
1x + 3y = 9
FINAL: | 0.63441 | 0.63441 |
linear_system | 1 | chirp | 1 | 13.597656 | null | 215 | 4.199985 | Solve this system for x:
4.199984940367827x + 2y = 8
1x + 3y = 9
FINAL: | 0.56604 | 0.56604 |
linear_system | 1 | chirp | 1 | 13.65625 | null | 216 | 3.858579 | Solve this system for x:
3.858578643762579x + 2y = 8
1x + 3y = 9
FINAL: | 0.626584 | 0.626584 |
linear_system | 1 | chirp | 1 | 13.714844 | null | 217 | 3.925737 | Solve this system for x:
3.9257365612097432x + 2y = 8
1x + 3y = 9
FINAL: | 0.613672 | 0.613672 |
linear_system | 1 | chirp | 1 | 13.773438 | null | 218 | 4.188309 | Solve this system for x:
4.188308813036611x + 2y = 8
1x + 3y = 9
FINAL: | 0.567917 | 0.567917 |
linear_system | 1 | chirp | 1 | 13.832031 | null | 219 | 4.124972 | Solve this system for x:
4.124971897628305x + 2y = 8
1x + 3y = 9
FINAL: | 0.578318 | 0.578318 |
linear_system | 1 | chirp | 1 | 13.890625 | null | 220 | 3.960982 | Solve this system for x:
3.960981935596778x + 2y = 8
1x + 3y = 9
FINAL: | 0.607106 | 0.607106 |
linear_system | 1 | chirp | 1 | 13.949219 | null | 221 | 3.871234 | Solve this system for x:
3.8712336914219847x + 2y = 8
1x + 3y = 9
FINAL: | 0.624109 | 0.624109 |
linear_system | 1 | chirp | 1 | 14.007813 | null | 222 | 3.85181 | Solve this system for x:
3.8518097749289475x + 2y = 8
1x + 3y = 9
FINAL: | 0.627915 | 0.627915 |
linear_system | 1 | chirp | 1 | 14.066406 | null | 223 | 3.886854 | Solve this system for x:
3.88685363784324x + 2y = 8
1x + 3y = 9
FINAL: | 0.621082 | 0.621082 |
linear_system | 1 | chirp | 1 | 14.125 | null | 224 | 4 | Solve this system for x:
4.000000000000062x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | chirp | 1 | 14.183594 | null | 225 | 4.164918 | Solve this system for x:
4.16491786055693x + 2y = 8
1x + 3y = 9
FINAL: | 0.571714 | 0.571714 |
linear_system | 1 | chirp | 1 | 14.242188 | null | 226 | 4.14819 | Solve this system for x:
4.14819022507117x + 2y = 8
1x + 3y = 9
FINAL: | 0.574461 | 0.574461 |
linear_system | 1 | chirp | 1 | 14.300781 | null | 227 | 3.846967 | Solve this system for x:
3.846966546875491x + 2y = 8
1x + 3y = 9
FINAL: | 0.628872 | 0.628872 |
linear_system | 1 | chirp | 1 | 14.359375 | null | 228 | 3.960982 | Solve this system for x:
3.9609819355967906x + 2y = 8
1x + 3y = 9
FINAL: | 0.607106 | 0.607106 |
linear_system | 1 | chirp | 1 | 14.417969 | null | 229 | 4.156147 | Solve this system for x:
4.156147445714376x + 2y = 8
1x + 3y = 9
FINAL: | 0.573151 | 0.573151 |
linear_system | 1 | chirp | 1 | 14.476563 | null | 230 | 3.811691 | Solve this system for x:
3.8116911869633348x + 2y = 8
1x + 3y = 9
FINAL: | 0.635925 | 0.635925 |
linear_system | 1 | chirp | 1 | 14.535156 | null | 231 | 4.185701 | Solve this system for x:
4.185701216094645x + 2y = 8
1x + 3y = 9
FINAL: | 0.568338 | 0.568338 |
linear_system | 1 | chirp | 1 | 14.59375 | null | 232 | 3.858579 | Solve this system for x:
3.858578643762597x + 2y = 8
1x + 3y = 9
FINAL: | 0.626584 | 0.626584 |
linear_system | 1 | chirp | 1 | 14.652344 | null | 233 | 4.002454 | Solve this system for x:
4.002454307657341x + 2y = 8
1x + 3y = 9
FINAL: | 0.599559 | 0.599559 |
linear_system | 1 | chirp | 1 | 14.710938 | null | 234 | 4.180798 | Solve this system for x:
4.1807978586246035x + 2y = 8
1x + 3y = 9
FINAL: | 0.569131 | 0.569131 |
linear_system | 1 | chirp | 1 | 14.769531 | null | 235 | 3.903563 | Solve this system for x:
3.903563245584052x + 2y = 8
1x + 3y = 9
FINAL: | 0.617876 | 0.617876 |
linear_system | 1 | chirp | 1 | 14.828125 | null | 236 | 3.803843 | Solve this system for x:
3.8038429439193577x + 2y = 8
1x + 3y = 9
FINAL: | 0.637516 | 0.637516 |
linear_system | 1 | chirp | 1 | 14.886719 | null | 237 | 3.907892 | Solve this system for x:
3.9078922578085313x + 2y = 8
1x + 3y = 9
FINAL: | 0.617051 | 0.617051 |
linear_system | 1 | chirp | 1 | 14.945313 | null | 238 | 4.009814 | Solve this system for x:
4.009813534865442x + 2y = 8
1x + 3y = 9
FINAL: | 0.598239 | 0.598239 |
linear_system | 1 | chirp | 1 | 15.003906 | null | 239 | 4.041422 | Solve this system for x:
4.041422275238459x + 2y = 8
1x + 3y = 9
FINAL: | 0.592636 | 0.592636 |
linear_system | 1 | chirp | 1 | 15.0625 | null | 240 | 4 | Solve this system for x:
4.000000000000012x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | chirp | 1 | 15.121094 | null | 241 | 3.890935 | Solve this system for x:
3.8909350023155467x + 2y = 8
1x + 3y = 9
FINAL: | 0.620296 | 0.620296 |
linear_system | 1 | chirp | 1 | 15.179688 | null | 242 | 3.800241 | Solve this system for x:
3.8002409087589744x + 2y = 8
1x + 3y = 9
FINAL: | 0.638249 | 0.638249 |
linear_system | 1 | chirp | 1 | 15.238281 | null | 243 | 3.939599 | Solve this system for x:
3.939598810136159x + 2y = 8
1x + 3y = 9
FINAL: | 0.611073 | 0.611073 |
linear_system | 1 | chirp | 1 | 15.296875 | null | 244 | 4.196157 | Solve this system for x:
4.196157056080625x + 2y = 8
1x + 3y = 9
FINAL: | 0.566654 | 0.566654 |
linear_system | 1 | chirp | 1 | 15.355469 | null | 245 | 3.944296 | Solve this system for x:
3.9442960621231427x + 2y = 8
1x + 3y = 9
FINAL: | 0.610197 | 0.610197 |
linear_system | 1 | chirp | 1 | 15.414063 | null | 246 | 3.914489 | Solve this system for x:
3.9144889813138084x + 2y = 8
1x + 3y = 9
FINAL: | 0.615797 | 0.615797 |
linear_system | 1 | chirp | 1 | 15.472656 | null | 247 | 4.143146 | Solve this system for x:
4.143146165056818x + 2y = 8
1x + 3y = 9
FINAL: | 0.575295 | 0.575295 |
linear_system | 1 | chirp | 1 | 15.53125 | null | 248 | 3.858579 | Solve this system for x:
3.8585786437627303x + 2y = 8
1x + 3y = 9
FINAL: | 0.626584 | 0.626584 |
linear_system | 1 | chirp | 1 | 15.589844 | null | 249 | 4.078798 | Solve this system for x:
4.078798408012313x + 2y = 8
1x + 3y = 9
FINAL: | 0.586144 | 0.586144 |
linear_system | 1 | chirp | 1 | 15.648438 | null | 250 | 4.067378 | Solve this system for x:
4.067377970678239x + 2y = 8
1x + 3y = 9
FINAL: | 0.588112 | 0.588112 |
linear_system | 1 | chirp | 1 | 15.707031 | null | 251 | 3.801219 | Solve this system for x:
3.8012186059995576x + 2y = 8
1x + 3y = 9
FINAL: | 0.63805 | 0.63805 |
linear_system | 1 | chirp | 1 | 15.765625 | null | 252 | 4.039018 | Solve this system for x:
4.039018064403467x + 2y = 8
1x + 3y = 9
FINAL: | 0.593058 | 0.593058 |
linear_system | 1 | chirp | 1 | 15.824219 | null | 253 | 4.199263 | Solve this system for x:
4.19926252243657x + 2y = 8
1x + 3y = 9
FINAL: | 0.566156 | 0.566156 |
linear_system | 1 | chirp | 1 | 15.882813 | null | 254 | 4.134312 | Solve this system for x:
4.134311790969384x + 2y = 8
1x + 3y = 9
FINAL: | 0.57676 | 0.57676 |
linear_system | 1 | chirp | 1 | 15.941406 | null | 255 | 4.036608 | Solve this system for x:
4.036607977590843x + 2y = 8
1x + 3y = 9
FINAL: | 0.593482 | 0.593482 |
linear_system | 2 | chirp | 1 | 1 | null | 0 | 4 | Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL: | 2 | 2 |
linear_system | 2 | chirp | 1 | 1.058594 | null | 1 | 4.036608 | Solve this system for x:
4.036607977591028x + 1y = 10
2x + 4y = 12
FINAL: | 1.979298 | 1.979298 |
linear_system | 2 | chirp | 1 | 1.117188 | null | 2 | 4.134312 | Solve this system for x:
4.134311790969403x + 1y = 10
2x + 4y = 12
FINAL: | 1.926087 | 1.926087 |
linear_system | 2 | chirp | 1 | 1.175781 | null | 3 | 4.199263 | Solve this system for x:
4.199262522436555x + 1y = 10
2x + 4y = 12
FINAL: | 1.892269 | 1.892269 |
linear_system | 2 | chirp | 1 | 1.234375 | null | 4 | 4.039018 | Solve this system for x:
4.039018064403225x + 1y = 10
2x + 4y = 12
FINAL: | 1.97795 | 1.97795 |
linear_system | 2 | chirp | 1 | 1.292969 | null | 5 | 3.801219 | Solve this system for x:
3.8012186059995288x + 1y = 10
2x + 4y = 12
FINAL: | 2.120429 | 2.120429 |
linear_system | 2 | chirp | 1 | 1.351563 | null | 6 | 4.067378 | Solve this system for x:
4.067377970678444x + 1y = 10
2x + 4y = 12
FINAL: | 1.962225 | 1.962225 |
linear_system | 2 | chirp | 1 | 1.410156 | null | 7 | 4.078798 | Solve this system for x:
4.078798408012211x + 1y = 10
2x + 4y = 12
FINAL: | 1.955964 | 1.955964 |
linear_system | 2 | chirp | 1 | 1.46875 | null | 8 | 3.858579 | Solve this system for x:
3.8585786437626903x + 1y = 10
2x + 4y = 12
FINAL: | 2.084215 | 2.084215 |
linear_system | 2 | chirp | 1 | 1.527344 | null | 9 | 4.143146 | Solve this system for x:
4.143146165056764x + 1y = 10
2x + 4y = 12
FINAL: | 1.921416 | 1.921416 |
linear_system | 2 | chirp | 1 | 1.585938 | null | 10 | 3.914489 | Solve this system for x:
3.9144889813139434x + 1y = 10
2x + 4y = 12
FINAL: | 2.050087 | 2.050087 |
linear_system | 2 | chirp | 1 | 1.644531 | null | 11 | 3.944296 | Solve this system for x:
3.9442960621229903x + 1y = 10
2x + 4y = 12
FINAL: | 2.032346 | 2.032346 |
linear_system | 2 | chirp | 1 | 1.703125 | null | 12 | 4.196157 | Solve this system for x:
4.196157056080646x + 1y = 10
2x + 4y = 12
FINAL: | 1.893859 | 1.893859 |
linear_system | 2 | chirp | 1 | 1.761719 | null | 13 | 3.939599 | Solve this system for x:
3.9395988101361543x + 1y = 10
2x + 4y = 12
FINAL: | 2.035121 | 2.035121 |
linear_system | 2 | chirp | 1 | 1.820313 | null | 14 | 3.800241 | Solve this system for x:
3.8002409087589655x + 1y = 10
2x + 4y = 12
FINAL: | 2.121057 | 2.121057 |
linear_system | 2 | chirp | 1 | 1.878906 | null | 15 | 3.890935 | Solve this system for x:
3.890935002315593x + 1y = 10
2x + 4y = 12
FINAL: | 2.064327 | 2.064327 |
linear_system | 2 | chirp | 1 | 1.9375 | null | 16 | 4 | Solve this system for x:
3.999999999999999x + 1y = 10
2x + 4y = 12
FINAL: | 2 | 2 |
linear_system | 2 | chirp | 1 | 1.996094 | null | 17 | 4.041422 | Solve this system for x:
4.041422275238446x + 1y = 10
2x + 4y = 12
FINAL: | 1.976607 | 1.976607 |
linear_system | 2 | chirp | 1 | 2.054688 | null | 18 | 4.009814 | Solve this system for x:
4.009813534865484x + 1y = 10
2x + 4y = 12
FINAL: | 1.994408 | 1.994408 |
linear_system | 2 | chirp | 1 | 2.113281 | null | 19 | 3.907892 | Solve this system for x:
3.9078922578083515x + 1y = 10
2x + 4y = 12
FINAL: | 2.054056 | 2.054056 |
linear_system | 2 | chirp | 1 | 2.171875 | null | 20 | 3.803843 | Solve this system for x:
3.8038429439193537x + 1y = 10
2x + 4y = 12
FINAL: | 2.118745 | 2.118745 |
linear_system | 2 | chirp | 1 | 2.230469 | null | 21 | 3.903563 | Solve this system for x:
3.903563245584176x + 1y = 10
2x + 4y = 12
FINAL: | 2.056668 | 2.056668 |
linear_system | 2 | chirp | 1 | 2.289063 | null | 22 | 4.180798 | Solve this system for x:
4.180797858624688x + 1y = 10
2x + 4y = 12
FINAL: | 1.901762 | 1.901762 |
linear_system | 2 | chirp | 1 | 2.347656 | null | 23 | 4.002454 | Solve this system for x:
4.002454307657147x + 1y = 10
2x + 4y = 12
FINAL: | 1.998599 | 1.998599 |
linear_system | 2 | chirp | 1 | 2.40625 | null | 24 | 3.858579 | Solve this system for x:
3.8585786437626903x + 1y = 10
2x + 4y = 12
FINAL: | 2.084215 | 2.084215 |
linear_system | 2 | chirp | 1 | 2.464844 | null | 25 | 4.185701 | Solve this system for x:
4.185701216094644x + 1y = 10
2x + 4y = 12
FINAL: | 1.899232 | 1.899232 |
linear_system | 2 | chirp | 1 | 2.523438 | null | 26 | 3.811691 | Solve this system for x:
3.811691186963395x + 1y = 10
2x + 4y = 12
FINAL: | 2.113724 | 2.113724 |
linear_system | 2 | chirp | 1 | 2.582031 | null | 27 | 4.156147 | Solve this system for x:
4.156147445714423x + 1y = 10
2x + 4y = 12
FINAL: | 1.914584 | 1.914584 |
linear_system | 2 | chirp | 1 | 2.640625 | null | 28 | 3.960982 | Solve this system for x:
3.9609819355967666x + 1y = 10
2x + 4y = 12
FINAL: | 2.022547 | 2.022547 |
linear_system | 2 | chirp | 1 | 2.699219 | null | 29 | 3.846967 | Solve this system for x:
3.8469665468755103x + 1y = 10
2x + 4y = 12
FINAL: | 2.091446 | 2.091446 |
linear_system | 2 | chirp | 1 | 2.757813 | null | 30 | 4.14819 | Solve this system for x:
4.148190225070995x + 1y = 10
2x + 4y = 12
FINAL: | 1.91876 | 1.91876 |
linear_system | 2 | chirp | 1 | 2.816406 | null | 31 | 4.164918 | Solve this system for x:
4.164917860557003x + 1y = 10
2x + 4y = 12
FINAL: | 1.910002 | 1.910002 |
linear_system | 2 | chirp | 1 | 2.875 | null | 32 | 4 | Solve this system for x:
3.9999999999999942x + 1y = 10
2x + 4y = 12
FINAL: | 2 | 2 |
linear_system | 2 | chirp | 1 | 2.933594 | null | 33 | 3.886854 | Solve this system for x:
3.8868536378432736x + 1y = 10
2x + 4y = 12
FINAL: | 2.066815 | 2.066815 |
linear_system | 2 | chirp | 1 | 2.992188 | null | 34 | 3.85181 | Solve this system for x:
3.8518097749290092x + 1y = 10
2x + 4y = 12
FINAL: | 2.088424 | 2.088424 |
linear_system | 2 | chirp | 1 | 3.050781 | null | 35 | 3.871234 | Solve this system for x:
3.871233691422043x + 1y = 10
2x + 4y = 12
FINAL: | 2.076391 | 2.076391 |
linear_system | 2 | chirp | 1 | 3.109375 | null | 36 | 3.960982 | Solve this system for x:
3.9609819355967697x + 1y = 10
2x + 4y = 12
FINAL: | 2.022547 | 2.022547 |
linear_system | 2 | chirp | 1 | 3.167969 | null | 37 | 4.124972 | Solve this system for x:
4.124971897628472x + 1y = 10
2x + 4y = 12
FINAL: | 1.931049 | 1.931049 |
linear_system | 2 | chirp | 1 | 3.226563 | null | 38 | 4.188309 | Solve this system for x:
4.188308813036605x + 1y = 10
2x + 4y = 12
FINAL: | 1.897889 | 1.897889 |
linear_system | 2 | chirp | 1 | 3.285156 | null | 39 | 3.925737 | Solve this system for x:
3.925736561209639x + 1y = 10
2x + 4y = 12
FINAL: | 2.043356 | 2.043356 |
linear_system | 2 | chirp | 1 | 3.34375 | null | 40 | 3.858579 | Solve this system for x:
3.8585786437626868x + 1y = 10
2x + 4y = 12
FINAL: | 2.084215 | 2.084215 |
linear_system | 2 | chirp | 1 | 3.402344 | null | 41 | 4.199985 | Solve this system for x:
4.199984940367829x + 1y = 10
2x + 4y = 12
FINAL: | 1.8919 | 1.8919 |
linear_system | 2 | chirp | 1 | 3.460938 | null | 42 | 3.819202 | Solve this system for x:
3.8192021413753108x + 1y = 10
2x + 4y = 12
FINAL: | 2.108941 | 2.108941 |
linear_system | 2 | chirp | 1 | 3.519531 | null | 43 | 4.175214 | Solve this system for x:
4.1752140188390845x + 1y = 10
2x + 4y = 12
FINAL: | 1.904651 | 1.904651 |
linear_system | 2 | chirp | 1 | 3.578125 | null | 44 | 3.803843 | Solve this system for x:
3.803842943919353x + 1y = 10
2x + 4y = 12
FINAL: | 2.118745 | 2.118745 |
linear_system | 2 | chirp | 1 | 3.636719 | null | 45 | 4.177528 | Solve this system for x:
4.1775279240805725x + 1y = 10
2x + 4y = 12
FINAL: | 1.903453 | 1.903453 |
linear_system | 2 | chirp | 1 | 3.695313 | null | 46 | 3.990186 | Solve this system for x:
3.9901864651345216x + 1y = 10
2x + 4y = 12
FINAL: | 2.005624 | 2.005624 |
linear_system | 2 | chirp | 1 | 3.753906 | null | 47 | 3.804337 | Solve this system for x:
3.804336525856078x + 1y = 10
2x + 4y = 12
FINAL: | 2.118428 | 2.118428 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.