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 | 0.5 | 2 | 120 | 56 | 0.08175 | Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years.
FINAL: | 296.254199 | 296.254199 |
exponential_interest | 1 | sinusoid | 0.5 | 2 | 120 | 57 | 0.082308 | Calculate the compound interest: $200 invested at 8.230771035% annual rate for 5 years.
FINAL: | 297.018676 | 297.018676 |
exponential_interest | 1 | sinusoid | 0.5 | 2 | 120 | 58 | 0.082777 | Calculate the compound interest: $200 invested at 8.277673669% annual rate for 5 years.
FINAL: | 297.66281 | 297.66281 |
exponential_interest | 1 | sinusoid | 0.5 | 2 | 120 | 59 | 0.083139 | Calculate the compound interest: $200 invested at 8.31390546% annual rate for 5 years.
FINAL: | 298.161162 | 298.161162 |
exponential_interest | 1 | sinusoid | 0.5 | 2 | 120 | 60 | 0.083381 | Calculate the compound interest: $200 invested at 8.338074039% annual rate for 5 years.
FINAL: | 298.493961 | 298.493961 |
exponential_interest | 1 | sinusoid | 0.5 | 2 | 120 | 61 | 0.083493 | Calculate the compound interest: $200 invested at 8.349250623% annual rate for 5 years.
FINAL: | 298.647962 | 298.647962 |
exponential_interest | 1 | sinusoid | 0.5 | 2 | 120 | 62 | 0.08347 | Calculate the compound interest: $200 invested at 8.347005701% annual rate for 5 years.
FINAL: | 298.617024 | 298.617024 |
exponential_interest | 1 | sinusoid | 0.5 | 2 | 120 | 63 | 0.083314 | Calculate the compound interest: $200 invested at 8.331425545% annual rate for 5 years.
FINAL: | 298.402382 | 298.402382 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 0 | 0.083031 | Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years.
FINAL: | 298.012591 | 298.012591 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 1 | 0.082131 | Calculate the compound interest: $200 invested at 8.2130665% annual rate for 5 years.
FINAL: | 296.775822 | 296.775822 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 2 | 0.080906 | Calculate the compound interest: $200 invested at 8.090586666% annual rate for 5 years.
FINAL: | 295.100106 | 295.100106 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 3 | 0.079543 | Calculate the compound interest: $200 invested at 7.954315833% annual rate for 5 years.
FINAL: | 293.244613 | 293.244613 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 4 | 0.07825 | Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years.
FINAL: | 291.492463 | 291.492463 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 5 | 0.077223 | Calculate the compound interest: $200 invested at 7.722326331% annual rate for 5 years.
FINAL: | 290.107271 | 290.107271 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 6 | 0.076619 | Calculate the compound interest: $200 invested at 7.661925961% annual rate for 5 years.
FINAL: | 289.294861 | 289.294861 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 7 | 0.07653 | Calculate the compound interest: $200 invested at 7.652994299% annual rate for 5 years.
FINAL: | 289.174881 | 289.174881 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 8 | 0.076969 | Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years.
FINAL: | 289.764935 | 289.764935 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 9 | 0.077869 | Calculate the compound interest: $200 invested at 7.7869335% annual rate for 5 years.
FINAL: | 290.978284 | 290.978284 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 10 | 0.079094 | Calculate the compound interest: $200 invested at 7.909413334% annual rate for 5 years.
FINAL: | 292.635259 | 292.635259 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 11 | 0.080457 | Calculate the compound interest: $200 invested at 8.045684167% annual rate for 5 years.
FINAL: | 294.487669 | 294.487669 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 12 | 0.08175 | Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years.
FINAL: | 296.254199 | 296.254199 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 13 | 0.082777 | Calculate the compound interest: $200 invested at 8.277673669% annual rate for 5 years.
FINAL: | 297.66281 | 297.66281 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 14 | 0.083381 | Calculate the compound interest: $200 invested at 8.338074039% annual rate for 5 years.
FINAL: | 298.493961 | 298.493961 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 15 | 0.08347 | Calculate the compound interest: $200 invested at 8.347005701% annual rate for 5 years.
FINAL: | 298.617024 | 298.617024 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 16 | 0.083031 | Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years.
FINAL: | 298.012591 | 298.012591 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 17 | 0.082131 | Calculate the compound interest: $200 invested at 8.2130665% annual rate for 5 years.
FINAL: | 296.775822 | 296.775822 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 18 | 0.080906 | Calculate the compound interest: $200 invested at 8.090586666% annual rate for 5 years.
FINAL: | 295.100106 | 295.100106 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 19 | 0.079543 | Calculate the compound interest: $200 invested at 7.954315833% annual rate for 5 years.
FINAL: | 293.244613 | 293.244613 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 20 | 0.07825 | Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years.
FINAL: | 291.492463 | 291.492463 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 21 | 0.077223 | Calculate the compound interest: $200 invested at 7.722326331% annual rate for 5 years.
FINAL: | 290.107271 | 290.107271 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 22 | 0.076619 | Calculate the compound interest: $200 invested at 7.661925961% annual rate for 5 years.
FINAL: | 289.294861 | 289.294861 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 23 | 0.07653 | Calculate the compound interest: $200 invested at 7.652994299% annual rate for 5 years.
FINAL: | 289.174881 | 289.174881 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 24 | 0.076969 | Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years.
FINAL: | 289.764935 | 289.764935 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 25 | 0.077869 | Calculate the compound interest: $200 invested at 7.7869335% annual rate for 5 years.
FINAL: | 290.978284 | 290.978284 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 26 | 0.079094 | Calculate the compound interest: $200 invested at 7.909413334% annual rate for 5 years.
FINAL: | 292.635259 | 292.635259 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 27 | 0.080457 | Calculate the compound interest: $200 invested at 8.045684167% annual rate for 5 years.
FINAL: | 294.487669 | 294.487669 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 28 | 0.08175 | Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years.
FINAL: | 296.254199 | 296.254199 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 29 | 0.082777 | Calculate the compound interest: $200 invested at 8.277673669% annual rate for 5 years.
FINAL: | 297.66281 | 297.66281 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 30 | 0.083381 | Calculate the compound interest: $200 invested at 8.338074039% annual rate for 5 years.
FINAL: | 298.493961 | 298.493961 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 31 | 0.08347 | Calculate the compound interest: $200 invested at 8.347005701% annual rate for 5 years.
FINAL: | 298.617024 | 298.617024 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 32 | 0.083031 | Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years.
FINAL: | 298.012591 | 298.012591 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 33 | 0.082131 | Calculate the compound interest: $200 invested at 8.2130665% annual rate for 5 years.
FINAL: | 296.775822 | 296.775822 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 34 | 0.080906 | Calculate the compound interest: $200 invested at 8.090586666% annual rate for 5 years.
FINAL: | 295.100106 | 295.100106 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 35 | 0.079543 | Calculate the compound interest: $200 invested at 7.954315833% annual rate for 5 years.
FINAL: | 293.244613 | 293.244613 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 36 | 0.07825 | Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years.
FINAL: | 291.492463 | 291.492463 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 37 | 0.077223 | Calculate the compound interest: $200 invested at 7.722326331% annual rate for 5 years.
FINAL: | 290.107271 | 290.107271 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 38 | 0.076619 | Calculate the compound interest: $200 invested at 7.661925961% annual rate for 5 years.
FINAL: | 289.294861 | 289.294861 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 39 | 0.07653 | Calculate the compound interest: $200 invested at 7.652994299% annual rate for 5 years.
FINAL: | 289.174881 | 289.174881 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 40 | 0.076969 | Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years.
FINAL: | 289.764935 | 289.764935 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 41 | 0.077869 | Calculate the compound interest: $200 invested at 7.7869335% annual rate for 5 years.
FINAL: | 290.978284 | 290.978284 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 42 | 0.079094 | Calculate the compound interest: $200 invested at 7.909413334% annual rate for 5 years.
FINAL: | 292.635259 | 292.635259 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 43 | 0.080457 | Calculate the compound interest: $200 invested at 8.045684167% annual rate for 5 years.
FINAL: | 294.487669 | 294.487669 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 44 | 0.08175 | Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years.
FINAL: | 296.254199 | 296.254199 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 45 | 0.082777 | Calculate the compound interest: $200 invested at 8.277673669% annual rate for 5 years.
FINAL: | 297.66281 | 297.66281 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 46 | 0.083381 | Calculate the compound interest: $200 invested at 8.338074039% annual rate for 5 years.
FINAL: | 298.493961 | 298.493961 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 47 | 0.08347 | Calculate the compound interest: $200 invested at 8.347005701% annual rate for 5 years.
FINAL: | 298.617024 | 298.617024 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 48 | 0.083031 | Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years.
FINAL: | 298.012591 | 298.012591 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 49 | 0.082131 | Calculate the compound interest: $200 invested at 8.2130665% annual rate for 5 years.
FINAL: | 296.775822 | 296.775822 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 50 | 0.080906 | Calculate the compound interest: $200 invested at 8.090586666% annual rate for 5 years.
FINAL: | 295.100106 | 295.100106 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 51 | 0.079543 | Calculate the compound interest: $200 invested at 7.954315833% annual rate for 5 years.
FINAL: | 293.244613 | 293.244613 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 52 | 0.07825 | Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years.
FINAL: | 291.492463 | 291.492463 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 53 | 0.077223 | Calculate the compound interest: $200 invested at 7.722326331% annual rate for 5 years.
FINAL: | 290.107271 | 290.107271 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 54 | 0.076619 | Calculate the compound interest: $200 invested at 7.661925961% annual rate for 5 years.
FINAL: | 289.294861 | 289.294861 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 55 | 0.07653 | Calculate the compound interest: $200 invested at 7.652994299% annual rate for 5 years.
FINAL: | 289.174881 | 289.174881 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 56 | 0.076969 | Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years.
FINAL: | 289.764935 | 289.764935 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 57 | 0.077869 | Calculate the compound interest: $200 invested at 7.7869335% annual rate for 5 years.
FINAL: | 290.978284 | 290.978284 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 58 | 0.079094 | Calculate the compound interest: $200 invested at 7.909413334% annual rate for 5 years.
FINAL: | 292.635259 | 292.635259 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 59 | 0.080457 | Calculate the compound interest: $200 invested at 8.045684167% annual rate for 5 years.
FINAL: | 294.487669 | 294.487669 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 60 | 0.08175 | Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years.
FINAL: | 296.254199 | 296.254199 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 61 | 0.082777 | Calculate the compound interest: $200 invested at 8.277673669% annual rate for 5 years.
FINAL: | 297.66281 | 297.66281 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 62 | 0.083381 | Calculate the compound interest: $200 invested at 8.338074039% annual rate for 5 years.
FINAL: | 298.493961 | 298.493961 |
exponential_interest | 1 | sinusoid | 0.5 | 4 | 120 | 63 | 0.08347 | Calculate the compound interest: $200 invested at 8.347005701% annual rate for 5 years.
FINAL: | 298.617024 | 298.617024 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 0 | 0.083031 | Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years.
FINAL: | 298.012591 | 298.012591 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 1 | 0.080906 | Calculate the compound interest: $200 invested at 8.090586666% annual rate for 5 years.
FINAL: | 295.100106 | 295.100106 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 2 | 0.07825 | Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years.
FINAL: | 291.492463 | 291.492463 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 3 | 0.076619 | Calculate the compound interest: $200 invested at 7.661925961% annual rate for 5 years.
FINAL: | 289.294861 | 289.294861 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 4 | 0.076969 | Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years.
FINAL: | 289.764935 | 289.764935 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 5 | 0.079094 | Calculate the compound interest: $200 invested at 7.909413334% annual rate for 5 years.
FINAL: | 292.635259 | 292.635259 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 6 | 0.08175 | Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years.
FINAL: | 296.254199 | 296.254199 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 7 | 0.083381 | Calculate the compound interest: $200 invested at 8.338074039% annual rate for 5 years.
FINAL: | 298.493961 | 298.493961 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 8 | 0.083031 | Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years.
FINAL: | 298.012591 | 298.012591 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 9 | 0.080906 | Calculate the compound interest: $200 invested at 8.090586666% annual rate for 5 years.
FINAL: | 295.100106 | 295.100106 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 10 | 0.07825 | Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years.
FINAL: | 291.492463 | 291.492463 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 11 | 0.076619 | Calculate the compound interest: $200 invested at 7.661925961% annual rate for 5 years.
FINAL: | 289.294861 | 289.294861 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 12 | 0.076969 | Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years.
FINAL: | 289.764935 | 289.764935 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 13 | 0.079094 | Calculate the compound interest: $200 invested at 7.909413334% annual rate for 5 years.
FINAL: | 292.635259 | 292.635259 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 14 | 0.08175 | Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years.
FINAL: | 296.254199 | 296.254199 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 15 | 0.083381 | Calculate the compound interest: $200 invested at 8.338074039% annual rate for 5 years.
FINAL: | 298.493961 | 298.493961 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 16 | 0.083031 | Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years.
FINAL: | 298.012591 | 298.012591 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 17 | 0.080906 | Calculate the compound interest: $200 invested at 8.090586666% annual rate for 5 years.
FINAL: | 295.100106 | 295.100106 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 18 | 0.07825 | Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years.
FINAL: | 291.492463 | 291.492463 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 19 | 0.076619 | Calculate the compound interest: $200 invested at 7.661925961% annual rate for 5 years.
FINAL: | 289.294861 | 289.294861 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 20 | 0.076969 | Calculate the compound interest: $200 invested at 7.696891109% annual rate for 5 years.
FINAL: | 289.764935 | 289.764935 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 21 | 0.079094 | Calculate the compound interest: $200 invested at 7.909413334% annual rate for 5 years.
FINAL: | 292.635259 | 292.635259 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 22 | 0.08175 | Calculate the compound interest: $200 invested at 8.175% annual rate for 5 years.
FINAL: | 296.254199 | 296.254199 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 23 | 0.083381 | Calculate the compound interest: $200 invested at 8.338074039% annual rate for 5 years.
FINAL: | 298.493961 | 298.493961 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 24 | 0.083031 | Calculate the compound interest: $200 invested at 8.303108891% annual rate for 5 years.
FINAL: | 298.012591 | 298.012591 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 25 | 0.080906 | Calculate the compound interest: $200 invested at 8.090586666% annual rate for 5 years.
FINAL: | 295.100106 | 295.100106 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 26 | 0.07825 | Calculate the compound interest: $200 invested at 7.825% annual rate for 5 years.
FINAL: | 291.492463 | 291.492463 |
exponential_interest | 1 | sinusoid | 0.5 | 8 | 120 | 27 | 0.076619 | Calculate the compound interest: $200 invested at 7.661925961% annual rate for 5 years.
FINAL: | 289.294861 | 289.294861 |
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