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 | 16 | 240 | 4 | 0.076969 | Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years.
FINAL: | 156.033913 | 156.033913 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 5 | 0.07825 | Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years.
FINAL: | 157.150874 | 157.150874 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 6 | 0.083031 | Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years.
FINAL: | 161.37845 | 161.37845 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 7 | 0.08175 | Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years.
FINAL: | 160.23649 | 160.23649 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 8 | 0.076969 | Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years.
FINAL: | 156.033913 | 156.033913 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 9 | 0.07825 | Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years.
FINAL: | 157.150874 | 157.150874 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 10 | 0.083031 | Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years.
FINAL: | 161.37845 | 161.37845 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 11 | 0.08175 | Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years.
FINAL: | 160.23649 | 160.23649 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 12 | 0.076969 | Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years.
FINAL: | 156.033913 | 156.033913 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 13 | 0.07825 | Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years.
FINAL: | 157.150874 | 157.150874 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 14 | 0.083031 | Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years.
FINAL: | 161.37845 | 161.37845 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 15 | 0.08175 | Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years.
FINAL: | 160.23649 | 160.23649 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 16 | 0.076969 | Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years.
FINAL: | 156.033913 | 156.033913 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 17 | 0.07825 | Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years.
FINAL: | 157.150874 | 157.150874 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 18 | 0.083031 | Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years.
FINAL: | 161.37845 | 161.37845 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 19 | 0.08175 | Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years.
FINAL: | 160.23649 | 160.23649 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 20 | 0.076969 | Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years.
FINAL: | 156.033913 | 156.033913 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 21 | 0.07825 | Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years.
FINAL: | 157.150874 | 157.150874 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 22 | 0.083031 | Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years.
FINAL: | 161.37845 | 161.37845 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 23 | 0.08175 | Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years.
FINAL: | 160.23649 | 160.23649 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 24 | 0.076969 | Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years.
FINAL: | 156.033913 | 156.033913 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 25 | 0.07825 | Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years.
FINAL: | 157.150874 | 157.150874 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 26 | 0.083031 | Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years.
FINAL: | 161.37845 | 161.37845 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 27 | 0.08175 | Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years.
FINAL: | 160.23649 | 160.23649 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 28 | 0.076969 | Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years.
FINAL: | 156.033913 | 156.033913 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 29 | 0.07825 | Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years.
FINAL: | 157.150874 | 157.150874 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 30 | 0.083031 | Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years.
FINAL: | 161.37845 | 161.37845 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 31 | 0.08175 | Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years.
FINAL: | 160.23649 | 160.23649 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 32 | 0.076969 | Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years.
FINAL: | 156.033913 | 156.033913 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 33 | 0.07825 | Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years.
FINAL: | 157.150874 | 157.150874 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 34 | 0.083031 | Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years.
FINAL: | 161.37845 | 161.37845 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 35 | 0.08175 | Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years.
FINAL: | 160.23649 | 160.23649 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 36 | 0.076969 | Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years.
FINAL: | 156.033913 | 156.033913 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 37 | 0.07825 | Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years.
FINAL: | 157.150874 | 157.150874 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 38 | 0.083031 | Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years.
FINAL: | 161.37845 | 161.37845 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 39 | 0.08175 | Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years.
FINAL: | 160.23649 | 160.23649 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 40 | 0.076969 | Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years.
FINAL: | 156.033913 | 156.033913 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 41 | 0.07825 | Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years.
FINAL: | 157.150874 | 157.150874 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 42 | 0.083031 | Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years.
FINAL: | 161.37845 | 161.37845 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 43 | 0.08175 | Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years.
FINAL: | 160.23649 | 160.23649 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 44 | 0.076969 | Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years.
FINAL: | 156.033913 | 156.033913 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 45 | 0.07825 | Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years.
FINAL: | 157.150874 | 157.150874 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 46 | 0.083031 | Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years.
FINAL: | 161.37845 | 161.37845 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 47 | 0.08175 | Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years.
FINAL: | 160.23649 | 160.23649 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 48 | 0.076969 | Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years.
FINAL: | 156.033913 | 156.033913 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 49 | 0.07825 | Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years.
FINAL: | 157.150874 | 157.150874 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 50 | 0.083031 | Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years.
FINAL: | 161.37845 | 161.37845 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 51 | 0.08175 | Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years.
FINAL: | 160.23649 | 160.23649 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 52 | 0.076969 | Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years.
FINAL: | 156.033913 | 156.033913 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 53 | 0.07825 | Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years.
FINAL: | 157.150874 | 157.150874 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 54 | 0.083031 | Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years.
FINAL: | 161.37845 | 161.37845 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 55 | 0.08175 | Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years.
FINAL: | 160.23649 | 160.23649 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 56 | 0.076969 | Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years.
FINAL: | 156.033913 | 156.033913 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 57 | 0.07825 | Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years.
FINAL: | 157.150874 | 157.150874 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 58 | 0.083031 | Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years.
FINAL: | 161.37845 | 161.37845 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 59 | 0.08175 | Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years.
FINAL: | 160.23649 | 160.23649 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 60 | 0.076969 | Calculate the compound interest: $100 invested at 7.696891109% annual rate for 6 years.
FINAL: | 156.033913 | 156.033913 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 61 | 0.07825 | Calculate the compound interest: $100 invested at 7.825% annual rate for 6 years.
FINAL: | 157.150874 | 157.150874 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 62 | 0.083031 | Calculate the compound interest: $100 invested at 8.303108891% annual rate for 6 years.
FINAL: | 161.37845 | 161.37845 |
exponential_interest | 0 | sinusoid | 0.5 | 16 | 240 | 63 | 0.08175 | Calculate the compound interest: $100 invested at 8.175% annual rate for 6 years.
FINAL: | 160.23649 | 160.23649 |
exponential_interest | 1 | sinusoid | 0.5 | 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 | 0.5 | 1 | 0 | 1 | 0.080343 | Calculate the compound interest: $200 invested at 8.034305999% annual rate for 5 years.
FINAL: | 294.332641 | 294.332641 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 2 | 0.080683 | Calculate the compound interest: $200 invested at 8.068281613% annual rate for 5 years.
FINAL: | 294.795755 | 294.795755 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 3 | 0.081016 | Calculate the compound interest: $200 invested at 8.101599637% annual rate for 5 years.
FINAL: | 295.25047 | 295.25047 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 4 | 0.081339 | Calculate the compound interest: $200 invested at 8.133939201% annual rate for 5 years.
FINAL: | 295.692369 | 295.692369 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 5 | 0.08165 | Calculate the compound interest: $200 invested at 8.164988858% annual rate for 5 years.
FINAL: | 296.117139 | 296.117139 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 6 | 0.081944 | Calculate the compound interest: $200 invested at 8.194449582% annual rate for 5 years.
FINAL: | 296.520624 | 296.520624 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 7 | 0.08222 | Calculate the compound interest: $200 invested at 8.222037649% annual rate for 5 years.
FINAL: | 296.89886 | 296.89886 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 8 | 0.082475 | Calculate the compound interest: $200 invested at 8.247487373% annual rate for 5 years.
FINAL: | 297.248121 | 297.248121 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 9 | 0.082706 | Calculate the compound interest: $200 invested at 8.270553659% annual rate for 5 years.
FINAL: | 297.564956 | 297.564956 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 10 | 0.08291 | Calculate the compound interest: $200 invested at 8.291014364% annual rate for 5 years.
FINAL: | 297.846228 | 297.846228 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 11 | 0.083087 | Calculate the compound interest: $200 invested at 8.308672443% annual rate for 5 years.
FINAL: | 298.089143 | 298.089143 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 12 | 0.083234 | Calculate the compound interest: $200 invested at 8.323357836% annual rate for 5 years.
FINAL: | 298.291285 | 298.291285 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 13 | 0.083349 | Calculate the compound interest: $200 invested at 8.334929118% annual rate for 5 years.
FINAL: | 298.450639 | 298.450639 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 14 | 0.083433 | Calculate the compound interest: $200 invested at 8.343274848% annual rate for 5 years.
FINAL: | 298.565615 | 298.565615 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 15 | 0.083483 | Calculate the compound interest: $200 invested at 8.348314654% annual rate for 5 years.
FINAL: | 298.635063 | 298.635063 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 16 | 0.0835 | Calculate the compound interest: $200 invested at 8.35% annual rate for 5 years.
FINAL: | 298.65829 | 298.65829 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 17 | 0.083483 | Calculate the compound interest: $200 invested at 8.348314654% annual rate for 5 years.
FINAL: | 298.635063 | 298.635063 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 18 | 0.083433 | Calculate the compound interest: $200 invested at 8.343274848% annual rate for 5 years.
FINAL: | 298.565615 | 298.565615 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 19 | 0.083349 | Calculate the compound interest: $200 invested at 8.334929118% annual rate for 5 years.
FINAL: | 298.450639 | 298.450639 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 20 | 0.083234 | Calculate the compound interest: $200 invested at 8.323357836% annual rate for 5 years.
FINAL: | 298.291285 | 298.291285 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 21 | 0.083087 | Calculate the compound interest: $200 invested at 8.308672443% annual rate for 5 years.
FINAL: | 298.089143 | 298.089143 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 22 | 0.08291 | Calculate the compound interest: $200 invested at 8.291014364% annual rate for 5 years.
FINAL: | 297.846228 | 297.846228 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 23 | 0.082706 | Calculate the compound interest: $200 invested at 8.270553659% annual rate for 5 years.
FINAL: | 297.564956 | 297.564956 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 24 | 0.082475 | Calculate the compound interest: $200 invested at 8.247487373% annual rate for 5 years.
FINAL: | 297.248121 | 297.248121 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 25 | 0.08222 | Calculate the compound interest: $200 invested at 8.222037649% annual rate for 5 years.
FINAL: | 296.89886 | 296.89886 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 26 | 0.081944 | Calculate the compound interest: $200 invested at 8.194449582% annual rate for 5 years.
FINAL: | 296.520624 | 296.520624 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 27 | 0.08165 | Calculate the compound interest: $200 invested at 8.164988858% annual rate for 5 years.
FINAL: | 296.117139 | 296.117139 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 28 | 0.081339 | Calculate the compound interest: $200 invested at 8.133939201% annual rate for 5 years.
FINAL: | 295.692369 | 295.692369 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 29 | 0.081016 | Calculate the compound interest: $200 invested at 8.101599637% annual rate for 5 years.
FINAL: | 295.25047 | 295.25047 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 30 | 0.080683 | Calculate the compound interest: $200 invested at 8.068281613% annual rate for 5 years.
FINAL: | 294.795755 | 294.795755 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 31 | 0.080343 | Calculate the compound interest: $200 invested at 8.034305999% annual rate for 5 years.
FINAL: | 294.332641 | 294.332641 |
exponential_interest | 1 | sinusoid | 0.5 | 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 | 0.5 | 1 | 0 | 33 | 0.079657 | Calculate the compound interest: $200 invested at 7.965694001% annual rate for 5 years.
FINAL: | 293.399182 | 293.399182 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 34 | 0.079317 | Calculate the compound interest: $200 invested at 7.931718387% annual rate for 5 years.
FINAL: | 292.937825 | 292.937825 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 35 | 0.078984 | Calculate the compound interest: $200 invested at 7.898400363% annual rate for 5 years.
FINAL: | 292.485962 | 292.485962 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 36 | 0.078661 | Calculate the compound interest: $200 invested at 7.866060799% annual rate for 5 years.
FINAL: | 292.047901 | 292.047901 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 37 | 0.07835 | Calculate the compound interest: $200 invested at 7.835011142% annual rate for 5 years.
FINAL: | 291.627808 | 291.627808 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 38 | 0.078056 | Calculate the compound interest: $200 invested at 7.805550418% annual rate for 5 years.
FINAL: | 291.229659 | 291.229659 |
exponential_interest | 1 | sinusoid | 0.5 | 1 | 0 | 39 | 0.07778 | Calculate the compound interest: $200 invested at 7.777962351% annual rate for 5 years.
FINAL: | 290.857213 | 290.857213 |
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