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 0.06 0.1 | prompt stringlengths 86 96 | ground_truth float64 144 318 | symbolic_baseline_answer float64 144 318 |
|---|---|---|---|---|---|---|---|---|---|---|
exponential_interest | 0 | sinusoid | 0.5 | 16 | 0 | 44 | 0.08 | Calculate the compound interest: $100 invested at 8% annual rate for 6 years.
FINAL: | 158.687432 | 158.687432 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 0 | 45 | 0.0835 | Calculate the compound interest: $100 invested at 8.35% annual rate for 6 years.
FINAL: | 161.798129 | 161.798129 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 0 | 46 | 0.08 | Calculate the compound interest: $100 invested at 8% annual rate for 6 years.
FINAL: | 158.687432 | 158.687432 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 0 | 47 | 0.0765 | Calculate the compound interest: $100 invested at 7.65% annual rate for 6 years.
FINAL: | 155.626735 | 155.626735 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 0 | 48 | 0.08 | Calculate the compound interest: $100 invested at 8% annual rate for 6 years.
FINAL: | 158.687432 | 158.687432 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 0 | 49 | 0.0835 | Calculate the compound interest: $100 invested at 8.35% annual rate for 6 years.
FINAL: | 161.798129 | 161.798129 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 0 | 50 | 0.08 | Calculate the compound interest: $100 invested at 8% annual rate for 6 years.
FINAL: | 158.687432 | 158.687432 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 0 | 51 | 0.0765 | Calculate the compound interest: $100 invested at 7.65% annual rate for 6 years.
FINAL: | 155.626735 | 155.626735 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 0 | 52 | 0.08 | Calculate the compound interest: $100 invested at 8% annual rate for 6 years.
FINAL: | 158.687432 | 158.687432 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 0 | 53 | 0.0835 | Calculate the compound interest: $100 invested at 8.35% annual rate for 6 years.
FINAL: | 161.798129 | 161.798129 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 0 | 54 | 0.08 | Calculate the compound interest: $100 invested at 8% annual rate for 6 years.
FINAL: | 158.687432 | 158.687432 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 0 | 55 | 0.0765 | Calculate the compound interest: $100 invested at 7.65% annual rate for 6 years.
FINAL: | 155.626735 | 155.626735 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 0 | 56 | 0.08 | Calculate the compound interest: $100 invested at 8% annual rate for 6 years.
FINAL: | 158.687432 | 158.687432 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 0 | 57 | 0.0835 | Calculate the compound interest: $100 invested at 8.35% annual rate for 6 years.
FINAL: | 161.798129 | 161.798129 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 0 | 58 | 0.08 | Calculate the compound interest: $100 invested at 8% annual rate for 6 years.
FINAL: | 158.687432 | 158.687432 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 0 | 59 | 0.0765 | Calculate the compound interest: $100 invested at 7.65% annual rate for 6 years.
FINAL: | 155.626735 | 155.626735 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 0 | 60 | 0.08 | Calculate the compound interest: $100 invested at 8% annual rate for 6 years.
FINAL: | 158.687432 | 158.687432 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 0 | 61 | 0.0835 | Calculate the compound interest: $100 invested at 8.35% annual rate for 6 years.
FINAL: | 161.798129 | 161.798129 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 0 | 62 | 0.08 | Calculate the compound interest: $100 invested at 8% annual rate for 6 years.
FINAL: | 158.687432 | 158.687432 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 0 | 63 | 0.0765 | Calculate the compound interest: $100 invested at 7.65% annual rate for 6 years.
FINAL: | 155.626735 | 155.626735 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 0 | 0.083031 | Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years.
FINAL: | 161.37845 | 161.37845 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 1 | 0.082845 | Calculate the compound interest: $100 invested at 8.28449634% annual rate for 6 years.
FINAL: | 161.212119 | 161.212119 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 2 | 0.082631 | Calculate the compound interest: $100 invested at 8.263143933% annual rate for 6 years.
FINAL: | 161.021478 | 161.021478 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 3 | 0.082393 | Calculate the compound interest: $100 invested at 8.239257306% annual rate for 6 years.
FINAL: | 160.808434 | 160.808434 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 4 | 0.082131 | Calculate the compound interest: $100 invested at 8.2130665% annual rate for 6 years.
FINAL: | 160.575109 | 160.575109 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 5 | 0.081848 | Calculate the compound interest: $100 invested at 8.184823748% annual rate for 6 years.
FINAL: | 160.32382 | 160.32382 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 6 | 0.081548 | Calculate the compound interest: $100 invested at 8.154801042% annual rate for 6 years.
FINAL: | 160.057053 | 160.057053 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 7 | 0.081233 | Calculate the compound interest: $100 invested at 8.123287517% annual rate for 6 years.
FINAL: | 159.777438 | 159.777438 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 8 | 0.080906 | Calculate the compound interest: $100 invested at 8.090586666% annual rate for 6 years.
FINAL: | 159.487718 | 159.487718 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 9 | 0.08057 | Calculate the compound interest: $100 invested at 8.057013416% annual rate for 6 years.
FINAL: | 159.190725 | 159.190725 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 10 | 0.080229 | Calculate the compound interest: $100 invested at 8.022891095% annual rate for 6 years.
FINAL: | 158.889346 | 158.889346 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 11 | 0.079885 | Calculate the compound interest: $100 invested at 7.988548321% annual rate for 6 years.
FINAL: | 158.586501 | 158.586501 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 12 | 0.079543 | Calculate the compound interest: $100 invested at 7.954315833% annual rate for 6 years.
FINAL: | 158.285108 | 158.285108 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 13 | 0.079205 | Calculate the compound interest: $100 invested at 7.920523308% annual rate for 6 years.
FINAL: | 157.988056 | 157.988056 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 14 | 0.078875 | Calculate the compound interest: $100 invested at 7.887496187% annual rate for 6 years.
FINAL: | 157.698182 | 157.698182 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 15 | 0.078556 | Calculate the compound interest: $100 invested at 7.85555254% annual rate for 6 years.
FINAL: | 157.418238 | 157.418238 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 16 | 0.07825 | Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years.
FINAL: | 157.150874 | 157.150874 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 17 | 0.077961 | Calculate the compound interest: $100 invested at 7.796132806% annual rate for 6 years.
FINAL: | 156.898606 | 156.898606 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 18 | 0.077692 | Calculate the compound interest: $100 invested at 7.769228965% annual rate for 6 years.
FINAL: | 156.663799 | 156.663799 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 19 | 0.077445 | Calculate the compound interest: $100 invested at 7.744547575% annual rate for 6 years.
FINAL: | 156.448647 | 156.448647 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 20 | 0.077223 | Calculate the compound interest: $100 invested at 7.722326331% annual rate for 6 years.
FINAL: | 156.255151 | 156.255151 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 21 | 0.077028 | Calculate the compound interest: $100 invested at 7.702779236% annual rate for 6 years.
FINAL: | 156.085105 | 156.085105 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 22 | 0.076861 | Calculate the compound interest: $100 invested at 7.68609454% annual rate for 6 years.
FINAL: | 155.940083 | 155.940083 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 23 | 0.076724 | Calculate the compound interest: $100 invested at 7.672432926% annual rate for 6 years.
FINAL: | 155.82142 | 155.82142 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 24 | 0.076619 | Calculate the compound interest: $100 invested at 7.661925961% annual rate for 6 years.
FINAL: | 155.730209 | 155.730209 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 25 | 0.076547 | Calculate the compound interest: $100 invested at 7.654674834% annual rate for 6 years.
FINAL: | 155.667289 | 155.667289 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 26 | 0.076507 | Calculate the compound interest: $100 invested at 7.650749377% annual rate for 6 years.
FINAL: | 155.633235 | 155.633235 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 27 | 0.076502 | Calculate the compound interest: $100 invested at 7.650187394% annual rate for 6 years.
FINAL: | 155.62836 | 155.62836 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 28 | 0.07653 | Calculate the compound interest: $100 invested at 7.652994299% annual rate for 6 years.
FINAL: | 155.652709 | 155.652709 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 29 | 0.076591 | Calculate the compound interest: $100 invested at 7.659143057% annual rate for 6 years.
FINAL: | 155.706059 | 155.706059 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 30 | 0.076686 | Calculate the compound interest: $100 invested at 7.668574455% annual rate for 6 years.
FINAL: | 155.78792 | 155.78792 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 31 | 0.076812 | Calculate the compound interest: $100 invested at 7.681197661% annual rate for 6 years.
FINAL: | 155.89754 | 155.89754 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 32 | 0.076969 | Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years.
FINAL: | 156.033913 | 156.033913 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 33 | 0.077155 | Calculate the compound interest: $100 invested at 7.71550366% annual rate for 6 years.
FINAL: | 156.195781 | 156.195781 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 34 | 0.077369 | Calculate the compound interest: $100 invested at 7.736856067% annual rate for 6 years.
FINAL: | 156.381649 | 156.381649 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 35 | 0.077607 | Calculate the compound interest: $100 invested at 7.760742694% annual rate for 6 years.
FINAL: | 156.589795 | 156.589795 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 36 | 0.077869 | Calculate the compound interest: $100 invested at 7.7869335% annual rate for 6 years.
FINAL: | 156.818285 | 156.818285 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 37 | 0.078152 | Calculate the compound interest: $100 invested at 7.815176252% annual rate for 6 years.
FINAL: | 157.064987 | 157.064987 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 38 | 0.078452 | Calculate the compound interest: $100 invested at 7.845198958% annual rate for 6 years.
FINAL: | 157.327592 | 157.327592 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 39 | 0.078767 | Calculate the compound interest: $100 invested at 7.876712483% annual rate for 6 years.
FINAL: | 157.603631 | 157.603631 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 40 | 0.079094 | Calculate the compound interest: $100 invested at 7.909413334% annual rate for 6 years.
FINAL: | 157.890496 | 157.890496 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 41 | 0.07943 | Calculate the compound interest: $100 invested at 7.942986584% annual rate for 6 years.
FINAL: | 158.185467 | 158.185467 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 42 | 0.079771 | Calculate the compound interest: $100 invested at 7.977108905% annual rate for 6 years.
FINAL: | 158.485732 | 158.485732 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 43 | 0.080115 | Calculate the compound interest: $100 invested at 8.011451679% annual rate for 6 years.
FINAL: | 158.788417 | 158.788417 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 44 | 0.080457 | Calculate the compound interest: $100 invested at 8.045684167% annual rate for 6 years.
FINAL: | 159.090609 | 159.090609 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 45 | 0.080795 | Calculate the compound interest: $100 invested at 8.079476692% annual rate for 6 years.
FINAL: | 159.389387 | 159.389387 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 46 | 0.081125 | Calculate the compound interest: $100 invested at 8.112503813% annual rate for 6 years.
FINAL: | 159.681849 | 159.681849 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 47 | 0.081444 | Calculate the compound interest: $100 invested at 8.14444746% annual rate for 6 years.
FINAL: | 159.965142 | 159.965142 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 48 | 0.08175 | Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years.
FINAL: | 160.23649 | 160.23649 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 49 | 0.082039 | Calculate the compound interest: $100 invested at 8.203867194% annual rate for 6 years.
FINAL: | 160.493222 | 160.493222 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 50 | 0.082308 | Calculate the compound interest: $100 invested at 8.230771035% annual rate for 6 years.
FINAL: | 160.732801 | 160.732801 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 51 | 0.082555 | Calculate the compound interest: $100 invested at 8.255452425% annual rate for 6 years.
FINAL: | 160.952852 | 160.952852 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 52 | 0.082777 | Calculate the compound interest: $100 invested at 8.277673669% annual rate for 6 years.
FINAL: | 161.151183 | 161.151183 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 53 | 0.082972 | Calculate the compound interest: $100 invested at 8.297220764% annual rate for 6 years.
FINAL: | 161.325815 | 161.325815 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 54 | 0.083139 | Calculate the compound interest: $100 invested at 8.31390546% annual rate for 6 years.
FINAL: | 161.475 | 161.475 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 55 | 0.083276 | Calculate the compound interest: $100 invested at 8.327567074% annual rate for 6 years.
FINAL: | 161.597239 | 161.597239 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 56 | 0.083381 | Calculate the compound interest: $100 invested at 8.338074039% annual rate for 6 years.
FINAL: | 161.691304 | 161.691304 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 57 | 0.083453 | Calculate the compound interest: $100 invested at 8.345325166% annual rate for 6 years.
FINAL: | 161.756248 | 161.756248 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 58 | 0.083493 | Calculate the compound interest: $100 invested at 8.349250623% annual rate for 6 years.
FINAL: | 161.791414 | 161.791414 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 59 | 0.083498 | Calculate the compound interest: $100 invested at 8.349812606% annual rate for 6 years.
FINAL: | 161.79645 | 161.79645 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 60 | 0.08347 | Calculate the compound interest: $100 invested at 8.347005701% annual rate for 6 years.
FINAL: | 161.771302 | 161.771302 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 61 | 0.083409 | Calculate the compound interest: $100 invested at 8.340856943% annual rate for 6 years.
FINAL: | 161.716226 | 161.716226 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 62 | 0.083314 | Calculate the compound interest: $100 invested at 8.331425545% annual rate for 6 years.
FINAL: | 161.631777 | 161.631777 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 120 | 63 | 0.083188 | Calculate the compound interest: $100 invested at 8.318802339% annual rate for 6 years.
FINAL: | 161.518806 | 161.518806 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 120 | 0 | 0.083031 | Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years.
FINAL: | 161.37845 | 161.37845 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 120 | 1 | 0.082631 | Calculate the compound interest: $100 invested at 8.263143933% annual rate for 6 years.
FINAL: | 161.021478 | 161.021478 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 120 | 2 | 0.082131 | Calculate the compound interest: $100 invested at 8.2130665% annual rate for 6 years.
FINAL: | 160.575109 | 160.575109 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 120 | 3 | 0.081548 | Calculate the compound interest: $100 invested at 8.154801042% annual rate for 6 years.
FINAL: | 160.057053 | 160.057053 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 120 | 4 | 0.080906 | Calculate the compound interest: $100 invested at 8.090586666% annual rate for 6 years.
FINAL: | 159.487718 | 159.487718 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 120 | 5 | 0.080229 | Calculate the compound interest: $100 invested at 8.022891095% annual rate for 6 years.
FINAL: | 158.889346 | 158.889346 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 120 | 6 | 0.079543 | Calculate the compound interest: $100 invested at 7.954315833% annual rate for 6 years.
FINAL: | 158.285108 | 158.285108 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 120 | 7 | 0.078875 | Calculate the compound interest: $100 invested at 7.887496187% annual rate for 6 years.
FINAL: | 157.698182 | 157.698182 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 120 | 8 | 0.07825 | Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years.
FINAL: | 157.150874 | 157.150874 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 120 | 9 | 0.077692 | Calculate the compound interest: $100 invested at 7.769228965% annual rate for 6 years.
FINAL: | 156.663799 | 156.663799 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 120 | 10 | 0.077223 | Calculate the compound interest: $100 invested at 7.722326331% annual rate for 6 years.
FINAL: | 156.255151 | 156.255151 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 120 | 11 | 0.076861 | Calculate the compound interest: $100 invested at 7.68609454% annual rate for 6 years.
FINAL: | 155.940083 | 155.940083 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 120 | 12 | 0.076619 | Calculate the compound interest: $100 invested at 7.661925961% annual rate for 6 years.
FINAL: | 155.730209 | 155.730209 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 120 | 13 | 0.076507 | Calculate the compound interest: $100 invested at 7.650749377% annual rate for 6 years.
FINAL: | 155.633235 | 155.633235 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 120 | 14 | 0.07653 | Calculate the compound interest: $100 invested at 7.652994299% annual rate for 6 years.
FINAL: | 155.652709 | 155.652709 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 120 | 15 | 0.076686 | Calculate the compound interest: $100 invested at 7.668574455% annual rate for 6 years.
FINAL: | 155.78792 | 155.78792 |
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