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 | 2.5 | 16 | 240 | 44 | 0.064845 | Calculate the compound interest: $100 invested at 6.484455543% annual rate for 6 years.
FINAL: | 145.786493 | 145.786493 |
exponential_interest | 0 | sinusoid | 2.5 | 16 | 240 | 45 | 0.07125 | Calculate the compound interest: $100 invested at 7.125% annual rate for 6 years.
FINAL: | 151.128026 | 151.128026 |
exponential_interest | 0 | sinusoid | 2.5 | 16 | 240 | 46 | 0.095155 | Calculate the compound interest: $100 invested at 9.515544457% annual rate for 6 years.
FINAL: | 172.526018 | 172.526018 |
exponential_interest | 0 | sinusoid | 2.5 | 16 | 240 | 47 | 0.08875 | Calculate the compound interest: $100 invested at 8.875% annual rate for 6 years.
FINAL: | 166.559346 | 166.559346 |
exponential_interest | 0 | sinusoid | 2.5 | 16 | 240 | 48 | 0.064845 | Calculate the compound interest: $100 invested at 6.484455543% annual rate for 6 years.
FINAL: | 145.786493 | 145.786493 |
exponential_interest | 0 | sinusoid | 2.5 | 16 | 240 | 49 | 0.07125 | Calculate the compound interest: $100 invested at 7.125% annual rate for 6 years.
FINAL: | 151.128026 | 151.128026 |
exponential_interest | 0 | sinusoid | 2.5 | 16 | 240 | 50 | 0.095155 | Calculate the compound interest: $100 invested at 9.515544457% annual rate for 6 years.
FINAL: | 172.526018 | 172.526018 |
exponential_interest | 0 | sinusoid | 2.5 | 16 | 240 | 51 | 0.08875 | Calculate the compound interest: $100 invested at 8.875% annual rate for 6 years.
FINAL: | 166.559346 | 166.559346 |
exponential_interest | 0 | sinusoid | 2.5 | 16 | 240 | 52 | 0.064845 | Calculate the compound interest: $100 invested at 6.484455543% annual rate for 6 years.
FINAL: | 145.786493 | 145.786493 |
exponential_interest | 0 | sinusoid | 2.5 | 16 | 240 | 53 | 0.07125 | Calculate the compound interest: $100 invested at 7.125% annual rate for 6 years.
FINAL: | 151.128026 | 151.128026 |
exponential_interest | 0 | sinusoid | 2.5 | 16 | 240 | 54 | 0.095155 | Calculate the compound interest: $100 invested at 9.515544457% annual rate for 6 years.
FINAL: | 172.526018 | 172.526018 |
exponential_interest | 0 | sinusoid | 2.5 | 16 | 240 | 55 | 0.08875 | Calculate the compound interest: $100 invested at 8.875% annual rate for 6 years.
FINAL: | 166.559346 | 166.559346 |
exponential_interest | 0 | sinusoid | 2.5 | 16 | 240 | 56 | 0.064845 | Calculate the compound interest: $100 invested at 6.484455543% annual rate for 6 years.
FINAL: | 145.786493 | 145.786493 |
exponential_interest | 0 | sinusoid | 2.5 | 16 | 240 | 57 | 0.07125 | Calculate the compound interest: $100 invested at 7.125% annual rate for 6 years.
FINAL: | 151.128026 | 151.128026 |
exponential_interest | 0 | sinusoid | 2.5 | 16 | 240 | 58 | 0.095155 | Calculate the compound interest: $100 invested at 9.515544457% annual rate for 6 years.
FINAL: | 172.526018 | 172.526018 |
exponential_interest | 0 | sinusoid | 2.5 | 16 | 240 | 59 | 0.08875 | Calculate the compound interest: $100 invested at 8.875% annual rate for 6 years.
FINAL: | 166.559346 | 166.559346 |
exponential_interest | 0 | sinusoid | 2.5 | 16 | 240 | 60 | 0.064845 | Calculate the compound interest: $100 invested at 6.484455543% annual rate for 6 years.
FINAL: | 145.786493 | 145.786493 |
exponential_interest | 0 | sinusoid | 2.5 | 16 | 240 | 61 | 0.07125 | Calculate the compound interest: $100 invested at 7.125% annual rate for 6 years.
FINAL: | 151.128026 | 151.128026 |
exponential_interest | 0 | sinusoid | 2.5 | 16 | 240 | 62 | 0.095155 | Calculate the compound interest: $100 invested at 9.515544457% annual rate for 6 years.
FINAL: | 172.526018 | 172.526018 |
exponential_interest | 0 | sinusoid | 2.5 | 16 | 240 | 63 | 0.08875 | Calculate the compound interest: $100 invested at 8.875% annual rate for 6 years.
FINAL: | 166.559346 | 166.559346 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 0 | 0.08 | Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL: | 293.865615 | 293.865615 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 1 | 0.081715 | Calculate the compound interest: $200 invested at 8.171529996% annual rate for 5 years.
FINAL: | 296.206687 | 296.206687 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 2 | 0.083414 | Calculate the compound interest: $200 invested at 8.341408064% annual rate for 5 years.
FINAL: | 298.539894 | 298.539894 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 3 | 0.08508 | Calculate the compound interest: $200 invested at 8.507998185% annual rate for 5 years.
FINAL: | 300.842198 | 300.842198 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 4 | 0.086697 | Calculate the compound interest: $200 invested at 8.669696007% annual rate for 5 years.
FINAL: | 303.090453 | 303.090453 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 5 | 0.088249 | Calculate the compound interest: $200 invested at 8.824944289% annual rate for 5 years.
FINAL: | 305.261661 | 305.261661 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 6 | 0.089722 | Calculate the compound interest: $200 invested at 8.972247908% annual rate for 5 years.
FINAL: | 307.333247 | 307.333247 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 7 | 0.091102 | Calculate the compound interest: $200 invested at 9.110188247% annual rate for 5 years.
FINAL: | 309.283336 | 309.283336 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 8 | 0.092374 | Calculate the compound interest: $200 invested at 9.237436867% annual rate for 5 years.
FINAL: | 311.09104 | 311.09104 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 9 | 0.093528 | Calculate the compound interest: $200 invested at 9.352768293% annual rate for 5 years.
FINAL: | 312.73674 | 312.73674 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 10 | 0.094551 | Calculate the compound interest: $200 invested at 9.455071822% annual rate for 5 years.
FINAL: | 314.202363 | 314.202363 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 11 | 0.095434 | Calculate the compound interest: $200 invested at 9.543362213% annual rate for 5 years.
FINAL: | 315.471644 | 315.471644 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 12 | 0.096168 | Calculate the compound interest: $200 invested at 9.616789182% annual rate for 5 years.
FINAL: | 316.530366 | 316.530366 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 13 | 0.096746 | Calculate the compound interest: $200 invested at 9.674645588% annual rate for 5 years.
FINAL: | 317.366582 | 317.366582 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 14 | 0.097164 | Calculate the compound interest: $200 invested at 9.716374241% annual rate for 5 years.
FINAL: | 317.970794 | 317.970794 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 15 | 0.097416 | Calculate the compound interest: $200 invested at 9.741573272% annual rate for 5 years.
FINAL: | 318.336111 | 318.336111 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 16 | 0.0975 | Calculate the compound interest: $200 invested at 9.75% annual rate for 5 years.
FINAL: | 318.45835 | 318.45835 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 17 | 0.097416 | Calculate the compound interest: $200 invested at 9.741573272% annual rate for 5 years.
FINAL: | 318.336111 | 318.336111 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 18 | 0.097164 | Calculate the compound interest: $200 invested at 9.716374241% annual rate for 5 years.
FINAL: | 317.970794 | 317.970794 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 19 | 0.096746 | Calculate the compound interest: $200 invested at 9.674645588% annual rate for 5 years.
FINAL: | 317.366582 | 317.366582 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 20 | 0.096168 | Calculate the compound interest: $200 invested at 9.616789182% annual rate for 5 years.
FINAL: | 316.530366 | 316.530366 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 21 | 0.095434 | Calculate the compound interest: $200 invested at 9.543362213% annual rate for 5 years.
FINAL: | 315.471644 | 315.471644 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 22 | 0.094551 | Calculate the compound interest: $200 invested at 9.455071822% annual rate for 5 years.
FINAL: | 314.202363 | 314.202363 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 23 | 0.093528 | Calculate the compound interest: $200 invested at 9.352768293% annual rate for 5 years.
FINAL: | 312.73674 | 312.73674 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 24 | 0.092374 | Calculate the compound interest: $200 invested at 9.237436867% annual rate for 5 years.
FINAL: | 311.09104 | 311.09104 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 25 | 0.091102 | Calculate the compound interest: $200 invested at 9.110188247% annual rate for 5 years.
FINAL: | 309.283336 | 309.283336 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 26 | 0.089722 | Calculate the compound interest: $200 invested at 8.972247908% annual rate for 5 years.
FINAL: | 307.333247 | 307.333247 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 27 | 0.088249 | Calculate the compound interest: $200 invested at 8.824944289% annual rate for 5 years.
FINAL: | 305.261661 | 305.261661 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 28 | 0.086697 | Calculate the compound interest: $200 invested at 8.669696007% annual rate for 5 years.
FINAL: | 303.090453 | 303.090453 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 29 | 0.08508 | Calculate the compound interest: $200 invested at 8.507998185% annual rate for 5 years.
FINAL: | 300.842198 | 300.842198 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 30 | 0.083414 | Calculate the compound interest: $200 invested at 8.341408064% annual rate for 5 years.
FINAL: | 298.539894 | 298.539894 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 31 | 0.081715 | Calculate the compound interest: $200 invested at 8.171529996% annual rate for 5 years.
FINAL: | 296.206687 | 296.206687 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 32 | 0.08 | Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL: | 293.865615 | 293.865615 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 33 | 0.078285 | Calculate the compound interest: $200 invested at 7.828470004% annual rate for 5 years.
FINAL: | 291.53937 | 291.53937 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 34 | 0.076586 | Calculate the compound interest: $200 invested at 7.658591936% annual rate for 5 years.
FINAL: | 289.25007 | 289.25007 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 35 | 0.07492 | Calculate the compound interest: $200 invested at 7.492001815% annual rate for 5 years.
FINAL: | 287.019068 | 287.019068 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 36 | 0.073303 | Calculate the compound interest: $200 invested at 7.330303993% annual rate for 5 years.
FINAL: | 284.866771 | 284.866771 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 37 | 0.071751 | Calculate the compound interest: $200 invested at 7.175055711% annual rate for 5 years.
FINAL: | 282.81249 | 282.81249 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 38 | 0.070278 | Calculate the compound interest: $200 invested at 7.027752092% annual rate for 5 years.
FINAL: | 280.874308 | 280.874308 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 39 | 0.068898 | Calculate the compound interest: $200 invested at 6.889811753% annual rate for 5 years.
FINAL: | 279.068975 | 279.068975 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 40 | 0.067626 | Calculate the compound interest: $200 invested at 6.762563133% annual rate for 5 years.
FINAL: | 277.411815 | 277.411815 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 41 | 0.066472 | Calculate the compound interest: $200 invested at 6.647231707% annual rate for 5 years.
FINAL: | 275.916663 | 275.916663 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 42 | 0.065449 | Calculate the compound interest: $200 invested at 6.544928178% annual rate for 5 years.
FINAL: | 274.595806 | 274.595806 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 43 | 0.064566 | Calculate the compound interest: $200 invested at 6.456637787% annual rate for 5 years.
FINAL: | 273.459946 | 273.459946 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 44 | 0.063832 | Calculate the compound interest: $200 invested at 6.383210818% annual rate for 5 years.
FINAL: | 272.518171 | 272.518171 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 45 | 0.063254 | Calculate the compound interest: $200 invested at 6.325354412% annual rate for 5 years.
FINAL: | 271.777933 | 271.777933 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 46 | 0.062836 | Calculate the compound interest: $200 invested at 6.283625759% annual rate for 5 years.
FINAL: | 271.245039 | 271.245039 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 47 | 0.062584 | Calculate the compound interest: $200 invested at 6.258426728% annual rate for 5 years.
FINAL: | 270.923641 | 270.923641 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 48 | 0.0625 | Calculate the compound interest: $200 invested at 6.25% annual rate for 5 years.
FINAL: | 270.816231 | 270.816231 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 49 | 0.062584 | Calculate the compound interest: $200 invested at 6.258426728% annual rate for 5 years.
FINAL: | 270.923641 | 270.923641 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 50 | 0.062836 | Calculate the compound interest: $200 invested at 6.283625759% annual rate for 5 years.
FINAL: | 271.245039 | 271.245039 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 51 | 0.063254 | Calculate the compound interest: $200 invested at 6.325354412% annual rate for 5 years.
FINAL: | 271.777933 | 271.777933 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 52 | 0.063832 | Calculate the compound interest: $200 invested at 6.383210818% annual rate for 5 years.
FINAL: | 272.518171 | 272.518171 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 53 | 0.064566 | Calculate the compound interest: $200 invested at 6.456637787% annual rate for 5 years.
FINAL: | 273.459946 | 273.459946 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 54 | 0.065449 | Calculate the compound interest: $200 invested at 6.544928178% annual rate for 5 years.
FINAL: | 274.595806 | 274.595806 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 55 | 0.066472 | Calculate the compound interest: $200 invested at 6.647231707% annual rate for 5 years.
FINAL: | 275.916663 | 275.916663 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 56 | 0.067626 | Calculate the compound interest: $200 invested at 6.762563133% annual rate for 5 years.
FINAL: | 277.411815 | 277.411815 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 57 | 0.068898 | Calculate the compound interest: $200 invested at 6.889811753% annual rate for 5 years.
FINAL: | 279.068975 | 279.068975 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 58 | 0.070278 | Calculate the compound interest: $200 invested at 7.027752092% annual rate for 5 years.
FINAL: | 280.874308 | 280.874308 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 59 | 0.071751 | Calculate the compound interest: $200 invested at 7.175055711% annual rate for 5 years.
FINAL: | 282.81249 | 282.81249 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 60 | 0.073303 | Calculate the compound interest: $200 invested at 7.330303993% annual rate for 5 years.
FINAL: | 284.866771 | 284.866771 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 61 | 0.07492 | Calculate the compound interest: $200 invested at 7.492001815% annual rate for 5 years.
FINAL: | 287.019068 | 287.019068 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 62 | 0.076586 | Calculate the compound interest: $200 invested at 7.658591936% annual rate for 5 years.
FINAL: | 289.25007 | 289.25007 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 0 | 63 | 0.078285 | Calculate the compound interest: $200 invested at 7.828470004% annual rate for 5 years.
FINAL: | 291.53937 | 291.53937 |
exponential_interest | 1 | sinusoid | 2.5 | 2 | 0 | 0 | 0.08 | Calculate the compound interest: $200 invested at 8% annual rate for 5 years.
FINAL: | 293.865615 | 293.865615 |
exponential_interest | 1 | sinusoid | 2.5 | 2 | 0 | 1 | 0.083414 | Calculate the compound interest: $200 invested at 8.341408064% annual rate for 5 years.
FINAL: | 298.539894 | 298.539894 |
exponential_interest | 1 | sinusoid | 2.5 | 2 | 0 | 2 | 0.086697 | Calculate the compound interest: $200 invested at 8.669696007% annual rate for 5 years.
FINAL: | 303.090453 | 303.090453 |
exponential_interest | 1 | sinusoid | 2.5 | 2 | 0 | 3 | 0.089722 | Calculate the compound interest: $200 invested at 8.972247908% annual rate for 5 years.
FINAL: | 307.333247 | 307.333247 |
exponential_interest | 1 | sinusoid | 2.5 | 2 | 0 | 4 | 0.092374 | Calculate the compound interest: $200 invested at 9.237436867% annual rate for 5 years.
FINAL: | 311.09104 | 311.09104 |
exponential_interest | 1 | sinusoid | 2.5 | 2 | 0 | 5 | 0.094551 | Calculate the compound interest: $200 invested at 9.455071822% annual rate for 5 years.
FINAL: | 314.202363 | 314.202363 |
exponential_interest | 1 | sinusoid | 2.5 | 2 | 0 | 6 | 0.096168 | Calculate the compound interest: $200 invested at 9.616789182% annual rate for 5 years.
FINAL: | 316.530366 | 316.530366 |
exponential_interest | 1 | sinusoid | 2.5 | 2 | 0 | 7 | 0.097164 | Calculate the compound interest: $200 invested at 9.716374241% annual rate for 5 years.
FINAL: | 317.970794 | 317.970794 |
exponential_interest | 1 | sinusoid | 2.5 | 2 | 0 | 8 | 0.0975 | Calculate the compound interest: $200 invested at 9.75% annual rate for 5 years.
FINAL: | 318.45835 | 318.45835 |
exponential_interest | 1 | sinusoid | 2.5 | 2 | 0 | 9 | 0.097164 | Calculate the compound interest: $200 invested at 9.716374241% annual rate for 5 years.
FINAL: | 317.970794 | 317.970794 |
exponential_interest | 1 | sinusoid | 2.5 | 2 | 0 | 10 | 0.096168 | Calculate the compound interest: $200 invested at 9.616789182% annual rate for 5 years.
FINAL: | 316.530366 | 316.530366 |
exponential_interest | 1 | sinusoid | 2.5 | 2 | 0 | 11 | 0.094551 | Calculate the compound interest: $200 invested at 9.455071822% annual rate for 5 years.
FINAL: | 314.202363 | 314.202363 |
exponential_interest | 1 | sinusoid | 2.5 | 2 | 0 | 12 | 0.092374 | Calculate the compound interest: $200 invested at 9.237436867% annual rate for 5 years.
FINAL: | 311.09104 | 311.09104 |
exponential_interest | 1 | sinusoid | 2.5 | 2 | 0 | 13 | 0.089722 | Calculate the compound interest: $200 invested at 8.972247908% annual rate for 5 years.
FINAL: | 307.333247 | 307.333247 |
exponential_interest | 1 | sinusoid | 2.5 | 2 | 0 | 14 | 0.086697 | Calculate the compound interest: $200 invested at 8.669696007% annual rate for 5 years.
FINAL: | 303.090453 | 303.090453 |
exponential_interest | 1 | sinusoid | 2.5 | 2 | 0 | 15 | 0.083414 | Calculate the compound interest: $200 invested at 8.341408064% annual rate for 5 years.
FINAL: | 298.539894 | 298.539894 |
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