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 | 8 | 120 | 28 | 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 | 8 | 120 | 29 | 0.075471 | Calculate the compound interest: $100 invested at 7.547066671% annual rate for 6 years.
FINAL: | 154.736018 | 154.736018 |
exponential_interest | 0 | sinusoid | 2.5 | 8 | 120 | 30 | 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 | 8 | 120 | 31 | 0.096904 | Calculate the compound interest: $100 invested at 9.690370196% annual rate for 6 years.
FINAL: | 174.185104 | 174.185104 |
exponential_interest | 0 | sinusoid | 2.5 | 8 | 120 | 32 | 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 | 8 | 120 | 33 | 0.084529 | Calculate the compound interest: $100 invested at 8.452933329% annual rate for 6 years.
FINAL: | 162.722578 | 162.722578 |
exponential_interest | 0 | sinusoid | 2.5 | 8 | 120 | 34 | 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 | 8 | 120 | 35 | 0.063096 | Calculate the compound interest: $100 invested at 6.309629804% annual rate for 6 years.
FINAL: | 144.356264 | 144.356264 |
exponential_interest | 0 | sinusoid | 2.5 | 8 | 120 | 36 | 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 | 8 | 120 | 37 | 0.075471 | Calculate the compound interest: $100 invested at 7.547066671% annual rate for 6 years.
FINAL: | 154.736018 | 154.736018 |
exponential_interest | 0 | sinusoid | 2.5 | 8 | 120 | 38 | 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 | 8 | 120 | 39 | 0.096904 | Calculate the compound interest: $100 invested at 9.690370196% annual rate for 6 years.
FINAL: | 174.185104 | 174.185104 |
exponential_interest | 0 | sinusoid | 2.5 | 8 | 120 | 40 | 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 | 8 | 120 | 41 | 0.084529 | Calculate the compound interest: $100 invested at 8.452933329% annual rate for 6 years.
FINAL: | 162.722578 | 162.722578 |
exponential_interest | 0 | sinusoid | 2.5 | 8 | 120 | 42 | 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 | 8 | 120 | 43 | 0.063096 | Calculate the compound interest: $100 invested at 6.309629804% annual rate for 6 years.
FINAL: | 144.356264 | 144.356264 |
exponential_interest | 0 | sinusoid | 2.5 | 8 | 120 | 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 | 8 | 120 | 45 | 0.075471 | Calculate the compound interest: $100 invested at 7.547066671% annual rate for 6 years.
FINAL: | 154.736018 | 154.736018 |
exponential_interest | 0 | sinusoid | 2.5 | 8 | 120 | 46 | 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 | 8 | 120 | 47 | 0.096904 | Calculate the compound interest: $100 invested at 9.690370196% annual rate for 6 years.
FINAL: | 174.185104 | 174.185104 |
exponential_interest | 0 | sinusoid | 2.5 | 8 | 120 | 48 | 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 | 8 | 120 | 49 | 0.084529 | Calculate the compound interest: $100 invested at 8.452933329% annual rate for 6 years.
FINAL: | 162.722578 | 162.722578 |
exponential_interest | 0 | sinusoid | 2.5 | 8 | 120 | 50 | 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 | 8 | 120 | 51 | 0.063096 | Calculate the compound interest: $100 invested at 6.309629804% annual rate for 6 years.
FINAL: | 144.356264 | 144.356264 |
exponential_interest | 0 | sinusoid | 2.5 | 8 | 120 | 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 | 8 | 120 | 53 | 0.075471 | Calculate the compound interest: $100 invested at 7.547066671% annual rate for 6 years.
FINAL: | 154.736018 | 154.736018 |
exponential_interest | 0 | sinusoid | 2.5 | 8 | 120 | 54 | 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 | 8 | 120 | 55 | 0.096904 | Calculate the compound interest: $100 invested at 9.690370196% annual rate for 6 years.
FINAL: | 174.185104 | 174.185104 |
exponential_interest | 0 | sinusoid | 2.5 | 8 | 120 | 56 | 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 | 8 | 120 | 57 | 0.084529 | Calculate the compound interest: $100 invested at 8.452933329% annual rate for 6 years.
FINAL: | 162.722578 | 162.722578 |
exponential_interest | 0 | sinusoid | 2.5 | 8 | 120 | 58 | 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 | 8 | 120 | 59 | 0.063096 | Calculate the compound interest: $100 invested at 6.309629804% annual rate for 6 years.
FINAL: | 144.356264 | 144.356264 |
exponential_interest | 0 | sinusoid | 2.5 | 8 | 120 | 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 | 8 | 120 | 61 | 0.075471 | Calculate the compound interest: $100 invested at 7.547066671% annual rate for 6 years.
FINAL: | 154.736018 | 154.736018 |
exponential_interest | 0 | sinusoid | 2.5 | 8 | 120 | 62 | 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 | 8 | 120 | 63 | 0.096904 | Calculate the compound interest: $100 invested at 9.690370196% annual rate for 6 years.
FINAL: | 174.185104 | 174.185104 |
exponential_interest | 0 | sinusoid | 2.5 | 16 | 120 | 0 | 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 | 120 | 1 | 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 | 120 | 2 | 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 | 120 | 3 | 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 | 120 | 4 | 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 | 120 | 5 | 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 | 120 | 6 | 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 | 120 | 7 | 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 | 120 | 8 | 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 | 120 | 9 | 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 | 120 | 10 | 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 | 120 | 11 | 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 | 120 | 12 | 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 | 120 | 13 | 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 | 120 | 14 | 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 | 120 | 15 | 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 | 120 | 16 | 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 | 120 | 17 | 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 | 120 | 18 | 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 | 120 | 19 | 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 | 120 | 20 | 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 | 120 | 21 | 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 | 120 | 22 | 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 | 120 | 23 | 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 | 120 | 24 | 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 | 120 | 25 | 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 | 120 | 26 | 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 | 120 | 27 | 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 | 120 | 28 | 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 | 120 | 29 | 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 | 120 | 30 | 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 | 120 | 31 | 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 | 120 | 32 | 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 | 120 | 33 | 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 | 120 | 34 | 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 | 120 | 35 | 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 | 120 | 36 | 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 | 120 | 37 | 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 | 120 | 38 | 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 | 120 | 39 | 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 | 120 | 40 | 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 | 120 | 41 | 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 | 120 | 42 | 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 | 120 | 43 | 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 | 120 | 44 | 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 | 120 | 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 | 120 | 46 | 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 | 120 | 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 | 120 | 48 | 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 | 120 | 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 | 120 | 50 | 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 | 120 | 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 | 120 | 52 | 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 | 120 | 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 | 120 | 54 | 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 | 120 | 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 | 120 | 56 | 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 | 120 | 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 | 120 | 58 | 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 | 120 | 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 | 120 | 60 | 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 | 120 | 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 | 120 | 62 | 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 | 120 | 63 | 0.08875 | Calculate the compound interest: $100 invested at 8.875% annual rate for 6 years.
FINAL: | 166.559346 | 166.559346 |
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