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 | 1 | sinusoid | 2.5 | 8 | 240 | 48 | 0.064845 | Calculate the compound interest: $200 invested at 6.484455543% annual rate for 5 years.
FINAL: | 273.817417 | 273.817417 |
exponential_interest | 1 | sinusoid | 2.5 | 8 | 240 | 49 | 0.063096 | Calculate the compound interest: $200 invested at 6.309629804% annual rate for 5 years.
FINAL: | 271.577024 | 271.577024 |
exponential_interest | 1 | sinusoid | 2.5 | 8 | 240 | 50 | 0.07125 | Calculate the compound interest: $200 invested at 7.125% annual rate for 5 years.
FINAL: | 282.152674 | 282.152674 |
exponential_interest | 1 | sinusoid | 2.5 | 8 | 240 | 51 | 0.084529 | Calculate the compound interest: $200 invested at 8.452933329% annual rate for 5 years.
FINAL: | 300.079626 | 300.079626 |
exponential_interest | 1 | sinusoid | 2.5 | 8 | 240 | 52 | 0.095155 | Calculate the compound interest: $200 invested at 9.515544457% annual rate for 5 years.
FINAL: | 315.071288 | 315.071288 |
exponential_interest | 1 | sinusoid | 2.5 | 8 | 240 | 53 | 0.096904 | Calculate the compound interest: $200 invested at 9.690370196% annual rate for 5 years.
FINAL: | 317.594159 | 317.594159 |
exponential_interest | 1 | sinusoid | 2.5 | 8 | 240 | 54 | 0.08875 | Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years.
FINAL: | 305.964356 | 305.964356 |
exponential_interest | 1 | sinusoid | 2.5 | 8 | 240 | 55 | 0.075471 | Calculate the compound interest: $200 invested at 7.547066671% annual rate for 5 years.
FINAL: | 287.754977 | 287.754977 |
exponential_interest | 1 | sinusoid | 2.5 | 8 | 240 | 56 | 0.064845 | Calculate the compound interest: $200 invested at 6.484455543% annual rate for 5 years.
FINAL: | 273.817417 | 273.817417 |
exponential_interest | 1 | sinusoid | 2.5 | 8 | 240 | 57 | 0.063096 | Calculate the compound interest: $200 invested at 6.309629804% annual rate for 5 years.
FINAL: | 271.577024 | 271.577024 |
exponential_interest | 1 | sinusoid | 2.5 | 8 | 240 | 58 | 0.07125 | Calculate the compound interest: $200 invested at 7.125% annual rate for 5 years.
FINAL: | 282.152674 | 282.152674 |
exponential_interest | 1 | sinusoid | 2.5 | 8 | 240 | 59 | 0.084529 | Calculate the compound interest: $200 invested at 8.452933329% annual rate for 5 years.
FINAL: | 300.079626 | 300.079626 |
exponential_interest | 1 | sinusoid | 2.5 | 8 | 240 | 60 | 0.095155 | Calculate the compound interest: $200 invested at 9.515544457% annual rate for 5 years.
FINAL: | 315.071288 | 315.071288 |
exponential_interest | 1 | sinusoid | 2.5 | 8 | 240 | 61 | 0.096904 | Calculate the compound interest: $200 invested at 9.690370196% annual rate for 5 years.
FINAL: | 317.594159 | 317.594159 |
exponential_interest | 1 | sinusoid | 2.5 | 8 | 240 | 62 | 0.08875 | Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years.
FINAL: | 305.964356 | 305.964356 |
exponential_interest | 1 | sinusoid | 2.5 | 8 | 240 | 63 | 0.075471 | Calculate the compound interest: $200 invested at 7.547066671% annual rate for 5 years.
FINAL: | 287.754977 | 287.754977 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 0 | 0.064845 | Calculate the compound interest: $200 invested at 6.484455543% annual rate for 5 years.
FINAL: | 273.817417 | 273.817417 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 1 | 0.07125 | Calculate the compound interest: $200 invested at 7.125% annual rate for 5 years.
FINAL: | 282.152674 | 282.152674 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 2 | 0.095155 | Calculate the compound interest: $200 invested at 9.515544457% annual rate for 5 years.
FINAL: | 315.071288 | 315.071288 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 3 | 0.08875 | Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years.
FINAL: | 305.964356 | 305.964356 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 4 | 0.064845 | Calculate the compound interest: $200 invested at 6.484455543% annual rate for 5 years.
FINAL: | 273.817417 | 273.817417 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 5 | 0.07125 | Calculate the compound interest: $200 invested at 7.125% annual rate for 5 years.
FINAL: | 282.152674 | 282.152674 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 6 | 0.095155 | Calculate the compound interest: $200 invested at 9.515544457% annual rate for 5 years.
FINAL: | 315.071288 | 315.071288 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 7 | 0.08875 | Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years.
FINAL: | 305.964356 | 305.964356 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 8 | 0.064845 | Calculate the compound interest: $200 invested at 6.484455543% annual rate for 5 years.
FINAL: | 273.817417 | 273.817417 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 9 | 0.07125 | Calculate the compound interest: $200 invested at 7.125% annual rate for 5 years.
FINAL: | 282.152674 | 282.152674 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 10 | 0.095155 | Calculate the compound interest: $200 invested at 9.515544457% annual rate for 5 years.
FINAL: | 315.071288 | 315.071288 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 11 | 0.08875 | Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years.
FINAL: | 305.964356 | 305.964356 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 12 | 0.064845 | Calculate the compound interest: $200 invested at 6.484455543% annual rate for 5 years.
FINAL: | 273.817417 | 273.817417 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 13 | 0.07125 | Calculate the compound interest: $200 invested at 7.125% annual rate for 5 years.
FINAL: | 282.152674 | 282.152674 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 14 | 0.095155 | Calculate the compound interest: $200 invested at 9.515544457% annual rate for 5 years.
FINAL: | 315.071288 | 315.071288 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 15 | 0.08875 | Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years.
FINAL: | 305.964356 | 305.964356 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 16 | 0.064845 | Calculate the compound interest: $200 invested at 6.484455543% annual rate for 5 years.
FINAL: | 273.817417 | 273.817417 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 17 | 0.07125 | Calculate the compound interest: $200 invested at 7.125% annual rate for 5 years.
FINAL: | 282.152674 | 282.152674 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 18 | 0.095155 | Calculate the compound interest: $200 invested at 9.515544457% annual rate for 5 years.
FINAL: | 315.071288 | 315.071288 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 19 | 0.08875 | Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years.
FINAL: | 305.964356 | 305.964356 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 20 | 0.064845 | Calculate the compound interest: $200 invested at 6.484455543% annual rate for 5 years.
FINAL: | 273.817417 | 273.817417 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 21 | 0.07125 | Calculate the compound interest: $200 invested at 7.125% annual rate for 5 years.
FINAL: | 282.152674 | 282.152674 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 22 | 0.095155 | Calculate the compound interest: $200 invested at 9.515544457% annual rate for 5 years.
FINAL: | 315.071288 | 315.071288 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 23 | 0.08875 | Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years.
FINAL: | 305.964356 | 305.964356 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 24 | 0.064845 | Calculate the compound interest: $200 invested at 6.484455543% annual rate for 5 years.
FINAL: | 273.817417 | 273.817417 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 25 | 0.07125 | Calculate the compound interest: $200 invested at 7.125% annual rate for 5 years.
FINAL: | 282.152674 | 282.152674 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 26 | 0.095155 | Calculate the compound interest: $200 invested at 9.515544457% annual rate for 5 years.
FINAL: | 315.071288 | 315.071288 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 27 | 0.08875 | Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years.
FINAL: | 305.964356 | 305.964356 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 28 | 0.064845 | Calculate the compound interest: $200 invested at 6.484455543% annual rate for 5 years.
FINAL: | 273.817417 | 273.817417 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 29 | 0.07125 | Calculate the compound interest: $200 invested at 7.125% annual rate for 5 years.
FINAL: | 282.152674 | 282.152674 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 30 | 0.095155 | Calculate the compound interest: $200 invested at 9.515544457% annual rate for 5 years.
FINAL: | 315.071288 | 315.071288 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 31 | 0.08875 | Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years.
FINAL: | 305.964356 | 305.964356 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 32 | 0.064845 | Calculate the compound interest: $200 invested at 6.484455543% annual rate for 5 years.
FINAL: | 273.817417 | 273.817417 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 33 | 0.07125 | Calculate the compound interest: $200 invested at 7.125% annual rate for 5 years.
FINAL: | 282.152674 | 282.152674 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 34 | 0.095155 | Calculate the compound interest: $200 invested at 9.515544457% annual rate for 5 years.
FINAL: | 315.071288 | 315.071288 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 35 | 0.08875 | Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years.
FINAL: | 305.964356 | 305.964356 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 36 | 0.064845 | Calculate the compound interest: $200 invested at 6.484455543% annual rate for 5 years.
FINAL: | 273.817417 | 273.817417 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 37 | 0.07125 | Calculate the compound interest: $200 invested at 7.125% annual rate for 5 years.
FINAL: | 282.152674 | 282.152674 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 38 | 0.095155 | Calculate the compound interest: $200 invested at 9.515544457% annual rate for 5 years.
FINAL: | 315.071288 | 315.071288 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 39 | 0.08875 | Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years.
FINAL: | 305.964356 | 305.964356 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 40 | 0.064845 | Calculate the compound interest: $200 invested at 6.484455543% annual rate for 5 years.
FINAL: | 273.817417 | 273.817417 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 41 | 0.07125 | Calculate the compound interest: $200 invested at 7.125% annual rate for 5 years.
FINAL: | 282.152674 | 282.152674 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 42 | 0.095155 | Calculate the compound interest: $200 invested at 9.515544457% annual rate for 5 years.
FINAL: | 315.071288 | 315.071288 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 43 | 0.08875 | Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years.
FINAL: | 305.964356 | 305.964356 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 44 | 0.064845 | Calculate the compound interest: $200 invested at 6.484455543% annual rate for 5 years.
FINAL: | 273.817417 | 273.817417 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 45 | 0.07125 | Calculate the compound interest: $200 invested at 7.125% annual rate for 5 years.
FINAL: | 282.152674 | 282.152674 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 46 | 0.095155 | Calculate the compound interest: $200 invested at 9.515544457% annual rate for 5 years.
FINAL: | 315.071288 | 315.071288 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 47 | 0.08875 | Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years.
FINAL: | 305.964356 | 305.964356 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 48 | 0.064845 | Calculate the compound interest: $200 invested at 6.484455543% annual rate for 5 years.
FINAL: | 273.817417 | 273.817417 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 49 | 0.07125 | Calculate the compound interest: $200 invested at 7.125% annual rate for 5 years.
FINAL: | 282.152674 | 282.152674 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 50 | 0.095155 | Calculate the compound interest: $200 invested at 9.515544457% annual rate for 5 years.
FINAL: | 315.071288 | 315.071288 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 51 | 0.08875 | Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years.
FINAL: | 305.964356 | 305.964356 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 52 | 0.064845 | Calculate the compound interest: $200 invested at 6.484455543% annual rate for 5 years.
FINAL: | 273.817417 | 273.817417 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 53 | 0.07125 | Calculate the compound interest: $200 invested at 7.125% annual rate for 5 years.
FINAL: | 282.152674 | 282.152674 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 54 | 0.095155 | Calculate the compound interest: $200 invested at 9.515544457% annual rate for 5 years.
FINAL: | 315.071288 | 315.071288 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 55 | 0.08875 | Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years.
FINAL: | 305.964356 | 305.964356 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 56 | 0.064845 | Calculate the compound interest: $200 invested at 6.484455543% annual rate for 5 years.
FINAL: | 273.817417 | 273.817417 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 57 | 0.07125 | Calculate the compound interest: $200 invested at 7.125% annual rate for 5 years.
FINAL: | 282.152674 | 282.152674 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 58 | 0.095155 | Calculate the compound interest: $200 invested at 9.515544457% annual rate for 5 years.
FINAL: | 315.071288 | 315.071288 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 59 | 0.08875 | Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years.
FINAL: | 305.964356 | 305.964356 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 60 | 0.064845 | Calculate the compound interest: $200 invested at 6.484455543% annual rate for 5 years.
FINAL: | 273.817417 | 273.817417 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 61 | 0.07125 | Calculate the compound interest: $200 invested at 7.125% annual rate for 5 years.
FINAL: | 282.152674 | 282.152674 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 62 | 0.095155 | Calculate the compound interest: $200 invested at 9.515544457% annual rate for 5 years.
FINAL: | 315.071288 | 315.071288 |
exponential_interest | 1 | sinusoid | 2.5 | 16 | 240 | 63 | 0.08875 | Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years.
FINAL: | 305.964356 | 305.964356 |
exponential_interest | 2 | sinusoid | 2.5 | 1 | 0 | 0 | 0.08 | Calculate the compound interest: $150 invested at 8% annual rate for 4 years.
FINAL: | 204.073344 | 204.073344 |
exponential_interest | 2 | sinusoid | 2.5 | 1 | 0 | 1 | 0.081715 | Calculate the compound interest: $150 invested at 8.171529996% annual rate for 4 years.
FINAL: | 205.372906 | 205.372906 |
exponential_interest | 2 | sinusoid | 2.5 | 1 | 0 | 2 | 0.083414 | Calculate the compound interest: $150 invested at 8.341408064% annual rate for 4 years.
FINAL: | 206.666061 | 206.666061 |
exponential_interest | 2 | sinusoid | 2.5 | 1 | 0 | 3 | 0.08508 | Calculate the compound interest: $150 invested at 8.507998185% annual rate for 4 years.
FINAL: | 207.940108 | 207.940108 |
exponential_interest | 2 | sinusoid | 2.5 | 1 | 0 | 4 | 0.086697 | Calculate the compound interest: $150 invested at 8.669696007% annual rate for 4 years.
FINAL: | 209.182364 | 209.182364 |
exponential_interest | 2 | sinusoid | 2.5 | 1 | 0 | 5 | 0.088249 | Calculate the compound interest: $150 invested at 8.824944289% annual rate for 4 years.
FINAL: | 210.380301 | 210.380301 |
exponential_interest | 2 | sinusoid | 2.5 | 1 | 0 | 6 | 0.089722 | Calculate the compound interest: $150 invested at 8.972247908% annual rate for 4 years.
FINAL: | 211.521685 | 211.521685 |
exponential_interest | 2 | sinusoid | 2.5 | 1 | 0 | 7 | 0.091102 | Calculate the compound interest: $150 invested at 9.110188247% annual rate for 4 years.
FINAL: | 212.594723 | 212.594723 |
exponential_interest | 2 | sinusoid | 2.5 | 1 | 0 | 8 | 0.092374 | Calculate the compound interest: $150 invested at 9.237436867% annual rate for 4 years.
FINAL: | 213.588204 | 213.588204 |
exponential_interest | 2 | sinusoid | 2.5 | 1 | 0 | 9 | 0.093528 | Calculate the compound interest: $150 invested at 9.352768293% annual rate for 4 years.
FINAL: | 214.491648 | 214.491648 |
exponential_interest | 2 | sinusoid | 2.5 | 1 | 0 | 10 | 0.094551 | Calculate the compound interest: $150 invested at 9.455071822% annual rate for 4 years.
FINAL: | 215.295434 | 215.295434 |
exponential_interest | 2 | sinusoid | 2.5 | 1 | 0 | 11 | 0.095434 | Calculate the compound interest: $150 invested at 9.543362213% annual rate for 4 years.
FINAL: | 215.990935 | 215.990935 |
exponential_interest | 2 | sinusoid | 2.5 | 1 | 0 | 12 | 0.096168 | Calculate the compound interest: $150 invested at 9.616789182% annual rate for 4 years.
FINAL: | 216.570633 | 216.570633 |
exponential_interest | 2 | sinusoid | 2.5 | 1 | 0 | 13 | 0.096746 | Calculate the compound interest: $150 invested at 9.674645588% annual rate for 4 years.
FINAL: | 217.028225 | 217.028225 |
exponential_interest | 2 | sinusoid | 2.5 | 1 | 0 | 14 | 0.097164 | Calculate the compound interest: $150 invested at 9.716374241% annual rate for 4 years.
FINAL: | 217.35871 | 217.35871 |
exponential_interest | 2 | sinusoid | 2.5 | 1 | 0 | 15 | 0.097416 | Calculate the compound interest: $150 invested at 9.741573272% annual rate for 4 years.
FINAL: | 217.558466 | 217.558466 |
exponential_interest | 2 | sinusoid | 2.5 | 1 | 0 | 16 | 0.0975 | Calculate the compound interest: $150 invested at 9.75% annual rate for 4 years.
FINAL: | 217.625296 | 217.625296 |
exponential_interest | 2 | sinusoid | 2.5 | 1 | 0 | 17 | 0.097416 | Calculate the compound interest: $150 invested at 9.741573272% annual rate for 4 years.
FINAL: | 217.558466 | 217.558466 |
exponential_interest | 2 | sinusoid | 2.5 | 1 | 0 | 18 | 0.097164 | Calculate the compound interest: $150 invested at 9.716374241% annual rate for 4 years.
FINAL: | 217.35871 | 217.35871 |
exponential_interest | 2 | sinusoid | 2.5 | 1 | 0 | 19 | 0.096746 | Calculate the compound interest: $150 invested at 9.674645588% annual rate for 4 years.
FINAL: | 217.028225 | 217.028225 |
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