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 35 50 | ground_truth float64 3.56 10.3 | symbolic_baseline_answer float64 3.56 10.3 |
|---|---|---|---|---|---|---|---|---|---|---|
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 20 | 3.603323 | Solve for x: 3.6033233298543825x + 3 = 27
FINAL: | 6.660518 | 6.660518 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 21 | 3.575399 | Solve for x: 3.5753989092367107x + 3 = 27
FINAL: | 6.712538 | 6.712538 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 22 | 3.551564 | Solve for x: 3.551563629233656x + 3 = 27
FINAL: | 6.757587 | 6.757587 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 23 | 3.532047 | Solve for x: 3.5320470366213375x + 3 = 27
FINAL: | 6.794926 | 6.794926 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 24 | 3.517037 | Solve for x: 3.5170370868554657x + 3 = 27
FINAL: | 6.823926 | 6.823926 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 25 | 3.506678 | Solve for x: 3.5066783339575607x + 3 = 27
FINAL: | 6.844084 | 6.844084 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 26 | 3.501071 | Solve for x: 3.501070538380698x + 3 = 27
FINAL: | 6.855046 | 6.855046 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 27 | 3.500268 | Solve for x: 3.500267706261817x + 3 = 27
FINAL: | 6.856618 | 6.856618 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 28 | 3.504278 | Solve for x: 3.5042775693130945x + 3 = 27
FINAL: | 6.848773 | 6.848773 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 29 | 3.513062 | Solve for x: 3.513061510361333x + 3 = 27
FINAL: | 6.831648 | 6.831648 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 30 | 3.526535 | Solve for x: 3.5265349352524473x + 3 = 27
FINAL: | 6.805547 | 6.805547 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 31 | 3.544568 | Solve for x: 3.544568087539412x + 3 = 27
FINAL: | 6.770924 | 6.770924 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 32 | 3.566987 | Solve for x: 3.5669872981077804x + 3 = 27
FINAL: | 6.728367 | 6.728367 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 33 | 3.593577 | Solve for x: 3.593576657704192x + 3 = 27
FINAL: | 6.678583 | 6.678583 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 34 | 3.62408 | Solve for x: 3.6240800962605113x + 3 = 27
FINAL: | 6.62237 | 6.62237 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 35 | 3.658204 | Solve for x: 3.658203848988564x + 3 = 27
FINAL: | 6.560597 | 6.560597 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 36 | 3.695619 | Solve for x: 3.6956192854956393x + 3 = 27
FINAL: | 6.494175 | 6.494175 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 37 | 3.735966 | Solve for x: 3.7359660746748156x + 3 = 27
FINAL: | 6.424041 | 6.424041 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 38 | 3.778856 | Solve for x: 3.778855654890499x + 3 = 27
FINAL: | 6.351129 | 6.351129 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 39 | 3.823875 | Solve for x: 3.823874976039383x + 3 = 27
FINAL: | 6.276356 | 6.276356 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 40 | 3.87059 | Solve for x: 3.8705904774487396x + 3 = 27
FINAL: | 6.200604 | 6.200604 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 41 | 3.918552 | Solve for x: 3.9185522633027055x + 3 = 27
FINAL: | 6.124711 | 6.124711 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 42 | 3.967298 | Solve for x: 3.967298435384928x + 3 = 27
FINAL: | 6.049457 | 6.049457 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 43 | 4.01636 | Solve for x: 4.016359541410887x + 3 = 27
FINAL: | 5.975561 | 5.975561 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 44 | 4.065263 | Solve for x: 4.065263096110026x + 3 = 27
FINAL: | 5.903677 | 5.903677 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 45 | 4.113538 | Solve for x: 4.113538131517187x + 3 = 27
FINAL: | 5.834393 | 5.834393 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 46 | 4.16072 | Solve for x: 4.160719732651581x + 3 = 27
FINAL: | 5.768233 | 5.768233 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 47 | 4.206354 | Solve for x: 4.206353514902197x + 3 = 27
FINAL: | 5.705655 | 5.705655 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 48 | 4.25 | Solve for x: 4.25x + 3 = 27
FINAL: | 5.647059 | 5.647059 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 49 | 4.291239 | Solve for x: 4.291238848433901x + 3 = 27
FINAL: | 5.592791 | 5.592791 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 50 | 4.329673 | Solve for x: 4.329672907550035x + 3 = 27
FINAL: | 5.543144 | 5.543144 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 51 | 4.364932 | Solve for x: 4.364932036348918x + 3 = 27
FINAL: | 5.498367 | 5.498367 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 52 | 4.396677 | Solve for x: 4.3966766701456175x + 3 = 27
FINAL: | 5.458668 | 5.458668 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 53 | 4.424601 | Solve for x: 4.424601090763289x + 3 = 27
FINAL: | 5.424218 | 5.424218 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 54 | 4.448436 | Solve for x: 4.448436370766344x + 3 = 27
FINAL: | 5.395154 | 5.395154 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 55 | 4.467953 | Solve for x: 4.4679529633786625x + 3 = 27
FINAL: | 5.371587 | 5.371587 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 56 | 4.482963 | Solve for x: 4.482962913144534x + 3 = 27
FINAL: | 5.353602 | 5.353602 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 57 | 4.493322 | Solve for x: 4.49332166604244x + 3 = 27
FINAL: | 5.34126 | 5.34126 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 58 | 4.498929 | Solve for x: 4.498929461619301x + 3 = 27
FINAL: | 5.334602 | 5.334602 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 59 | 4.499732 | Solve for x: 4.499732293738183x + 3 = 27
FINAL: | 5.333651 | 5.333651 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 60 | 4.495722 | Solve for x: 4.4957224306869055x + 3 = 27
FINAL: | 5.338408 | 5.338408 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 61 | 4.486938 | Solve for x: 4.486938489638667x + 3 = 27
FINAL: | 5.348859 | 5.348859 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 62 | 4.473465 | Solve for x: 4.473465064747553x + 3 = 27
FINAL: | 5.364969 | 5.364969 |
linear_solve | 0 | sinusoid | 2.5 | 1 | 120 | 63 | 4.455432 | Solve for x: 4.455431912460588x + 3 = 27
FINAL: | 5.386683 | 5.386683 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 0 | 4.433013 | Solve for x: 4.43301270189222x + 3 = 27
FINAL: | 5.413925 | 5.413925 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 1 | 4.37592 | Solve for x: 4.375919903739489x + 3 = 27
FINAL: | 5.484561 | 5.484561 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 2 | 4.304381 | Solve for x: 4.304380714504361x + 3 = 27
FINAL: | 5.575715 | 5.575715 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 3 | 4.221144 | Solve for x: 4.221144345109501x + 3 = 27
FINAL: | 5.685662 | 5.685662 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 4 | 4.12941 | Solve for x: 4.129409522551261x + 3 = 27
FINAL: | 5.811969 | 5.811969 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 5 | 4.032702 | Solve for x: 4.0327015646150715x + 3 = 27
FINAL: | 5.951345 | 5.951345 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 6 | 3.934737 | Solve for x: 3.9347369038899744x + 3 = 27
FINAL: | 6.099518 | 6.099518 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 7 | 3.83928 | Solve for x: 3.8392802673484194x + 3 = 27
FINAL: | 6.251172 | 6.251172 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 8 | 3.75 | Solve for x: 3.75x + 3 = 27
FINAL: | 6.4 | 6.4 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 9 | 3.670327 | Solve for x: 3.670327092449966x + 3 = 27
FINAL: | 6.538927 | 6.538927 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 10 | 3.603323 | Solve for x: 3.6033233298543825x + 3 = 27
FINAL: | 6.660518 | 6.660518 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 11 | 3.551564 | Solve for x: 3.551563629233656x + 3 = 27
FINAL: | 6.757587 | 6.757587 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 12 | 3.517037 | Solve for x: 3.5170370868554657x + 3 = 27
FINAL: | 6.823926 | 6.823926 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 13 | 3.501071 | Solve for x: 3.501070538380698x + 3 = 27
FINAL: | 6.855046 | 6.855046 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 14 | 3.504278 | Solve for x: 3.5042775693130945x + 3 = 27
FINAL: | 6.848773 | 6.848773 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 15 | 3.526535 | Solve for x: 3.5265349352524473x + 3 = 27
FINAL: | 6.805547 | 6.805547 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 16 | 3.566987 | Solve for x: 3.5669872981077804x + 3 = 27
FINAL: | 6.728367 | 6.728367 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 17 | 3.62408 | Solve for x: 3.6240800962605113x + 3 = 27
FINAL: | 6.62237 | 6.62237 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 18 | 3.695619 | Solve for x: 3.6956192854956393x + 3 = 27
FINAL: | 6.494175 | 6.494175 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 19 | 3.778856 | Solve for x: 3.778855654890499x + 3 = 27
FINAL: | 6.351129 | 6.351129 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 20 | 3.87059 | Solve for x: 3.8705904774487396x + 3 = 27
FINAL: | 6.200604 | 6.200604 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 21 | 3.967298 | Solve for x: 3.967298435384928x + 3 = 27
FINAL: | 6.049457 | 6.049457 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 22 | 4.065263 | Solve for x: 4.065263096110026x + 3 = 27
FINAL: | 5.903677 | 5.903677 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 23 | 4.16072 | Solve for x: 4.160719732651581x + 3 = 27
FINAL: | 5.768233 | 5.768233 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 24 | 4.25 | Solve for x: 4.25x + 3 = 27
FINAL: | 5.647059 | 5.647059 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 25 | 4.329673 | Solve for x: 4.329672907550035x + 3 = 27
FINAL: | 5.543144 | 5.543144 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 26 | 4.396677 | Solve for x: 4.3966766701456175x + 3 = 27
FINAL: | 5.458668 | 5.458668 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 27 | 4.448436 | Solve for x: 4.448436370766344x + 3 = 27
FINAL: | 5.395154 | 5.395154 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 28 | 4.482963 | Solve for x: 4.482962913144534x + 3 = 27
FINAL: | 5.353602 | 5.353602 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 29 | 4.498929 | Solve for x: 4.498929461619301x + 3 = 27
FINAL: | 5.334602 | 5.334602 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 30 | 4.495722 | Solve for x: 4.4957224306869055x + 3 = 27
FINAL: | 5.338408 | 5.338408 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 31 | 4.473465 | Solve for x: 4.473465064747553x + 3 = 27
FINAL: | 5.364969 | 5.364969 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 32 | 4.433013 | Solve for x: 4.43301270189222x + 3 = 27
FINAL: | 5.413925 | 5.413925 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 33 | 4.37592 | Solve for x: 4.375919903739488x + 3 = 27
FINAL: | 5.484561 | 5.484561 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 34 | 4.304381 | Solve for x: 4.304380714504361x + 3 = 27
FINAL: | 5.575715 | 5.575715 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 35 | 4.221144 | Solve for x: 4.221144345109501x + 3 = 27
FINAL: | 5.685662 | 5.685662 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 36 | 4.12941 | Solve for x: 4.129409522551261x + 3 = 27
FINAL: | 5.811969 | 5.811969 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 37 | 4.032702 | Solve for x: 4.032701564615072x + 3 = 27
FINAL: | 5.951345 | 5.951345 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 38 | 3.934737 | Solve for x: 3.934736903889975x + 3 = 27
FINAL: | 6.099518 | 6.099518 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 39 | 3.83928 | Solve for x: 3.8392802673484194x + 3 = 27
FINAL: | 6.251172 | 6.251172 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 40 | 3.75 | Solve for x: 3.7500000000000004x + 3 = 27
FINAL: | 6.4 | 6.4 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 41 | 3.670327 | Solve for x: 3.6703270924499662x + 3 = 27
FINAL: | 6.538927 | 6.538927 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 42 | 3.603323 | Solve for x: 3.6033233298543825x + 3 = 27
FINAL: | 6.660518 | 6.660518 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 43 | 3.551564 | Solve for x: 3.551563629233656x + 3 = 27
FINAL: | 6.757587 | 6.757587 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 44 | 3.517037 | Solve for x: 3.517037086855466x + 3 = 27
FINAL: | 6.823926 | 6.823926 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 45 | 3.501071 | Solve for x: 3.501070538380698x + 3 = 27
FINAL: | 6.855046 | 6.855046 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 46 | 3.504278 | Solve for x: 3.5042775693130945x + 3 = 27
FINAL: | 6.848773 | 6.848773 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 47 | 3.526535 | Solve for x: 3.526534935252447x + 3 = 27
FINAL: | 6.805547 | 6.805547 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 48 | 3.566987 | Solve for x: 3.5669872981077804x + 3 = 27
FINAL: | 6.728367 | 6.728367 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 49 | 3.62408 | Solve for x: 3.624080096260511x + 3 = 27
FINAL: | 6.62237 | 6.62237 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 50 | 3.695619 | Solve for x: 3.6956192854956393x + 3 = 27
FINAL: | 6.494175 | 6.494175 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 51 | 3.778856 | Solve for x: 3.778855654890499x + 3 = 27
FINAL: | 6.351129 | 6.351129 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 52 | 3.87059 | Solve for x: 3.8705904774487396x + 3 = 27
FINAL: | 6.200604 | 6.200604 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 53 | 3.967298 | Solve for x: 3.967298435384928x + 3 = 27
FINAL: | 6.049457 | 6.049457 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 54 | 4.065263 | Solve for x: 4.065263096110025x + 3 = 27
FINAL: | 5.903677 | 5.903677 |
linear_solve | 0 | sinusoid | 2.5 | 2 | 120 | 55 | 4.16072 | Solve for x: 4.160719732651581x + 3 = 27
FINAL: | 5.768233 | 5.768233 |
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