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 | 1 | 0 | 0 | 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 | 1 | 0 | 1 | 0.080343 | Calculate the compound interest: $100 invested at 8.034305999% annual rate for 6 years.
FINAL: | 158.990113 | 158.990113 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 2 | 0.080683 | Calculate the compound interest: $100 invested at 8.068281613% annual rate for 6 years.
FINAL: | 159.290353 | 159.290353 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 3 | 0.081016 | Calculate the compound interest: $100 invested at 8.101599637% annual rate for 6 years.
FINAL: | 159.585241 | 159.585241 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 4 | 0.081339 | Calculate the compound interest: $100 invested at 8.133939201% annual rate for 6 years.
FINAL: | 159.871903 | 159.871903 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 5 | 0.08165 | Calculate the compound interest: $100 invested at 8.164988858% annual rate for 6 years.
FINAL: | 160.147535 | 160.147535 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 6 | 0.081944 | Calculate the compound interest: $100 invested at 8.194449582% annual rate for 6 years.
FINAL: | 160.409428 | 160.409428 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 7 | 0.08222 | Calculate the compound interest: $100 invested at 8.222037649% annual rate for 6 years.
FINAL: | 160.654998 | 160.654998 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 8 | 0.082475 | Calculate the compound interest: $100 invested at 8.247487373% annual rate for 6 years.
FINAL: | 160.881811 | 160.881811 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 9 | 0.082706 | Calculate the compound interest: $100 invested at 8.270553659% annual rate for 6 years.
FINAL: | 161.087613 | 161.087613 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 10 | 0.08291 | Calculate the compound interest: $100 invested at 8.291014364% annual rate for 6 years.
FINAL: | 161.270351 | 161.270351 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 11 | 0.083087 | Calculate the compound interest: $100 invested at 8.308672443% annual rate for 6 years.
FINAL: | 161.428197 | 161.428197 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 12 | 0.083234 | Calculate the compound interest: $100 invested at 8.323357836% annual rate for 6 years.
FINAL: | 161.559568 | 161.559568 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 13 | 0.083349 | Calculate the compound interest: $100 invested at 8.334929118% annual rate for 6 years.
FINAL: | 161.663144 | 161.663144 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 14 | 0.083433 | Calculate the compound interest: $100 invested at 8.343274848% annual rate for 6 years.
FINAL: | 161.737882 | 161.737882 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 15 | 0.083483 | Calculate the compound interest: $100 invested at 8.348314654% annual rate for 6 years.
FINAL: | 161.783029 | 161.783029 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 16 | 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 | 1 | 0 | 17 | 0.083483 | Calculate the compound interest: $100 invested at 8.348314654% annual rate for 6 years.
FINAL: | 161.783029 | 161.783029 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 18 | 0.083433 | Calculate the compound interest: $100 invested at 8.343274848% annual rate for 6 years.
FINAL: | 161.737882 | 161.737882 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 19 | 0.083349 | Calculate the compound interest: $100 invested at 8.334929118% annual rate for 6 years.
FINAL: | 161.663144 | 161.663144 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 20 | 0.083234 | Calculate the compound interest: $100 invested at 8.323357836% annual rate for 6 years.
FINAL: | 161.559568 | 161.559568 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 21 | 0.083087 | Calculate the compound interest: $100 invested at 8.308672443% annual rate for 6 years.
FINAL: | 161.428197 | 161.428197 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 22 | 0.08291 | Calculate the compound interest: $100 invested at 8.291014364% annual rate for 6 years.
FINAL: | 161.270351 | 161.270351 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 23 | 0.082706 | Calculate the compound interest: $100 invested at 8.270553659% annual rate for 6 years.
FINAL: | 161.087613 | 161.087613 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 24 | 0.082475 | Calculate the compound interest: $100 invested at 8.247487373% annual rate for 6 years.
FINAL: | 160.881811 | 160.881811 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 25 | 0.08222 | Calculate the compound interest: $100 invested at 8.222037649% annual rate for 6 years.
FINAL: | 160.654998 | 160.654998 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 26 | 0.081944 | Calculate the compound interest: $100 invested at 8.194449582% annual rate for 6 years.
FINAL: | 160.409428 | 160.409428 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 27 | 0.08165 | Calculate the compound interest: $100 invested at 8.164988858% annual rate for 6 years.
FINAL: | 160.147535 | 160.147535 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 28 | 0.081339 | Calculate the compound interest: $100 invested at 8.133939201% annual rate for 6 years.
FINAL: | 159.871903 | 159.871903 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 29 | 0.081016 | Calculate the compound interest: $100 invested at 8.101599637% annual rate for 6 years.
FINAL: | 159.585241 | 159.585241 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 30 | 0.080683 | Calculate the compound interest: $100 invested at 8.068281613% annual rate for 6 years.
FINAL: | 159.290353 | 159.290353 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 31 | 0.080343 | Calculate the compound interest: $100 invested at 8.034305999% annual rate for 6 years.
FINAL: | 158.990113 | 158.990113 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 32 | 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 | 1 | 0 | 33 | 0.079657 | Calculate the compound interest: $100 invested at 7.965694001% annual rate for 6 years.
FINAL: | 158.385232 | 158.385232 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 34 | 0.079317 | Calculate the compound interest: $100 invested at 7.931718387% annual rate for 6 years.
FINAL: | 158.086414 | 158.086414 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 35 | 0.078984 | Calculate the compound interest: $100 invested at 7.898400363% annual rate for 6 years.
FINAL: | 157.793837 | 157.793837 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 36 | 0.078661 | Calculate the compound interest: $100 invested at 7.866060799% annual rate for 6 years.
FINAL: | 157.510283 | 157.510283 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 37 | 0.07835 | Calculate the compound interest: $100 invested at 7.835011142% annual rate for 6 years.
FINAL: | 157.23844 | 157.23844 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 38 | 0.078056 | Calculate the compound interest: $100 invested at 7.805550418% annual rate for 6 years.
FINAL: | 156.980869 | 156.980869 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 39 | 0.07778 | Calculate the compound interest: $100 invested at 7.777962351% annual rate for 6 years.
FINAL: | 156.739989 | 156.739989 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 40 | 0.077525 | Calculate the compound interest: $100 invested at 7.752512627% annual rate for 6 years.
FINAL: | 156.518053 | 156.518053 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 41 | 0.077294 | Calculate the compound interest: $100 invested at 7.729446341% annual rate for 6 years.
FINAL: | 156.317128 | 156.317128 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 42 | 0.07709 | Calculate the compound interest: $100 invested at 7.708985636% annual rate for 6 years.
FINAL: | 156.13908 | 156.13908 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 43 | 0.076913 | Calculate the compound interest: $100 invested at 7.691327557% annual rate for 6 years.
FINAL: | 155.985556 | 155.985556 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 44 | 0.076766 | Calculate the compound interest: $100 invested at 7.676642164% annual rate for 6 years.
FINAL: | 155.857973 | 155.857973 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 45 | 0.076651 | Calculate the compound interest: $100 invested at 7.665070882% annual rate for 6 years.
FINAL: | 155.757506 | 155.757506 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 46 | 0.076567 | Calculate the compound interest: $100 invested at 7.656725152% annual rate for 6 years.
FINAL: | 155.685078 | 155.685078 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 47 | 0.076517 | Calculate the compound interest: $100 invested at 7.651685346% annual rate for 6 years.
FINAL: | 155.641354 | 155.641354 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 48 | 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 | 0 | 49 | 0.076517 | Calculate the compound interest: $100 invested at 7.651685346% annual rate for 6 years.
FINAL: | 155.641354 | 155.641354 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 50 | 0.076567 | Calculate the compound interest: $100 invested at 7.656725152% annual rate for 6 years.
FINAL: | 155.685078 | 155.685078 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 51 | 0.076651 | Calculate the compound interest: $100 invested at 7.665070882% annual rate for 6 years.
FINAL: | 155.757506 | 155.757506 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 52 | 0.076766 | Calculate the compound interest: $100 invested at 7.676642164% annual rate for 6 years.
FINAL: | 155.857973 | 155.857973 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 53 | 0.076913 | Calculate the compound interest: $100 invested at 7.691327557% annual rate for 6 years.
FINAL: | 155.985556 | 155.985556 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 54 | 0.07709 | Calculate the compound interest: $100 invested at 7.708985636% annual rate for 6 years.
FINAL: | 156.13908 | 156.13908 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 55 | 0.077294 | Calculate the compound interest: $100 invested at 7.729446341% annual rate for 6 years.
FINAL: | 156.317128 | 156.317128 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 56 | 0.077525 | Calculate the compound interest: $100 invested at 7.752512627% annual rate for 6 years.
FINAL: | 156.518053 | 156.518053 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 57 | 0.07778 | Calculate the compound interest: $100 invested at 7.777962351% annual rate for 6 years.
FINAL: | 156.739989 | 156.739989 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 58 | 0.078056 | Calculate the compound interest: $100 invested at 7.805550418% annual rate for 6 years.
FINAL: | 156.980869 | 156.980869 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 59 | 0.07835 | Calculate the compound interest: $100 invested at 7.835011142% annual rate for 6 years.
FINAL: | 157.23844 | 157.23844 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 60 | 0.078661 | Calculate the compound interest: $100 invested at 7.866060799% annual rate for 6 years.
FINAL: | 157.510283 | 157.510283 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 61 | 0.078984 | Calculate the compound interest: $100 invested at 7.898400363% annual rate for 6 years.
FINAL: | 157.793837 | 157.793837 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 62 | 0.079317 | Calculate the compound interest: $100 invested at 7.931718387% annual rate for 6 years.
FINAL: | 158.086414 | 158.086414 |
exponential_interest | 0 | sinusoid | 0.5 | 1 | 0 | 63 | 0.079657 | Calculate the compound interest: $100 invested at 7.965694001% annual rate for 6 years.
FINAL: | 158.385232 | 158.385232 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 0 | 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 | 2 | 0 | 1 | 0.080683 | Calculate the compound interest: $100 invested at 8.068281613% annual rate for 6 years.
FINAL: | 159.290353 | 159.290353 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 2 | 0.081339 | Calculate the compound interest: $100 invested at 8.133939201% annual rate for 6 years.
FINAL: | 159.871903 | 159.871903 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 3 | 0.081944 | Calculate the compound interest: $100 invested at 8.194449582% annual rate for 6 years.
FINAL: | 160.409428 | 160.409428 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 4 | 0.082475 | Calculate the compound interest: $100 invested at 8.247487373% annual rate for 6 years.
FINAL: | 160.881811 | 160.881811 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 5 | 0.08291 | Calculate the compound interest: $100 invested at 8.291014364% annual rate for 6 years.
FINAL: | 161.270351 | 161.270351 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 6 | 0.083234 | Calculate the compound interest: $100 invested at 8.323357836% annual rate for 6 years.
FINAL: | 161.559568 | 161.559568 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 7 | 0.083433 | Calculate the compound interest: $100 invested at 8.343274848% annual rate for 6 years.
FINAL: | 161.737882 | 161.737882 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 8 | 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 | 2 | 0 | 9 | 0.083433 | Calculate the compound interest: $100 invested at 8.343274848% annual rate for 6 years.
FINAL: | 161.737882 | 161.737882 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 10 | 0.083234 | Calculate the compound interest: $100 invested at 8.323357836% annual rate for 6 years.
FINAL: | 161.559568 | 161.559568 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 11 | 0.08291 | Calculate the compound interest: $100 invested at 8.291014364% annual rate for 6 years.
FINAL: | 161.270351 | 161.270351 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 12 | 0.082475 | Calculate the compound interest: $100 invested at 8.247487373% annual rate for 6 years.
FINAL: | 160.881811 | 160.881811 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 13 | 0.081944 | Calculate the compound interest: $100 invested at 8.194449582% annual rate for 6 years.
FINAL: | 160.409428 | 160.409428 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 14 | 0.081339 | Calculate the compound interest: $100 invested at 8.133939201% annual rate for 6 years.
FINAL: | 159.871903 | 159.871903 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 15 | 0.080683 | Calculate the compound interest: $100 invested at 8.068281613% annual rate for 6 years.
FINAL: | 159.290353 | 159.290353 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 16 | 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 | 2 | 0 | 17 | 0.079317 | Calculate the compound interest: $100 invested at 7.931718387% annual rate for 6 years.
FINAL: | 158.086414 | 158.086414 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 18 | 0.078661 | Calculate the compound interest: $100 invested at 7.866060799% annual rate for 6 years.
FINAL: | 157.510283 | 157.510283 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 19 | 0.078056 | Calculate the compound interest: $100 invested at 7.805550418% annual rate for 6 years.
FINAL: | 156.980869 | 156.980869 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 20 | 0.077525 | Calculate the compound interest: $100 invested at 7.752512627% annual rate for 6 years.
FINAL: | 156.518053 | 156.518053 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 21 | 0.07709 | Calculate the compound interest: $100 invested at 7.708985636% annual rate for 6 years.
FINAL: | 156.13908 | 156.13908 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 22 | 0.076766 | Calculate the compound interest: $100 invested at 7.676642164% annual rate for 6 years.
FINAL: | 155.857973 | 155.857973 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 23 | 0.076567 | Calculate the compound interest: $100 invested at 7.656725152% annual rate for 6 years.
FINAL: | 155.685078 | 155.685078 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 24 | 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 | 2 | 0 | 25 | 0.076567 | Calculate the compound interest: $100 invested at 7.656725152% annual rate for 6 years.
FINAL: | 155.685078 | 155.685078 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 26 | 0.076766 | Calculate the compound interest: $100 invested at 7.676642164% annual rate for 6 years.
FINAL: | 155.857973 | 155.857973 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 27 | 0.07709 | Calculate the compound interest: $100 invested at 7.708985636% annual rate for 6 years.
FINAL: | 156.13908 | 156.13908 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 28 | 0.077525 | Calculate the compound interest: $100 invested at 7.752512627% annual rate for 6 years.
FINAL: | 156.518053 | 156.518053 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 29 | 0.078056 | Calculate the compound interest: $100 invested at 7.805550418% annual rate for 6 years.
FINAL: | 156.980869 | 156.980869 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 30 | 0.078661 | Calculate the compound interest: $100 invested at 7.866060799% annual rate for 6 years.
FINAL: | 157.510283 | 157.510283 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 31 | 0.079317 | Calculate the compound interest: $100 invested at 7.931718387% annual rate for 6 years.
FINAL: | 158.086414 | 158.086414 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 32 | 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 | 2 | 0 | 33 | 0.080683 | Calculate the compound interest: $100 invested at 8.068281613% annual rate for 6 years.
FINAL: | 159.290353 | 159.290353 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 34 | 0.081339 | Calculate the compound interest: $100 invested at 8.133939201% annual rate for 6 years.
FINAL: | 159.871903 | 159.871903 |
exponential_interest | 0 | sinusoid | 0.5 | 2 | 0 | 35 | 0.081944 | Calculate the compound interest: $100 invested at 8.194449582% annual rate for 6 years.
FINAL: | 160.409428 | 160.409428 |
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