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 | 2.5 | 16 | 0 | 24 | 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 | 16 | 0 | 25 | 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 | 16 | 0 | 26 | 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 | 16 | 0 | 27 | 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 | 16 | 0 | 28 | 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 | 16 | 0 | 29 | 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 | 16 | 0 | 30 | 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 | 16 | 0 | 31 | 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 | 16 | 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 | 16 | 0 | 33 | 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 | 16 | 0 | 34 | 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 | 16 | 0 | 35 | 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 | 16 | 0 | 36 | 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 | 16 | 0 | 37 | 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 | 16 | 0 | 38 | 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 | 16 | 0 | 39 | 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 | 16 | 0 | 40 | 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 | 16 | 0 | 41 | 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 | 16 | 0 | 42 | 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 | 16 | 0 | 43 | 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 | 16 | 0 | 44 | 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 | 16 | 0 | 45 | 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 | 16 | 0 | 46 | 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 | 16 | 0 | 47 | 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 | 16 | 0 | 48 | 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 | 16 | 0 | 49 | 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 | 16 | 0 | 50 | 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 | 16 | 0 | 51 | 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 | 16 | 0 | 52 | 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 | 16 | 0 | 53 | 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 | 16 | 0 | 54 | 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 | 16 | 0 | 55 | 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 | 16 | 0 | 56 | 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 | 16 | 0 | 57 | 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 | 16 | 0 | 58 | 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 | 16 | 0 | 59 | 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 | 16 | 0 | 60 | 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 | 16 | 0 | 61 | 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 | 16 | 0 | 62 | 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 | 16 | 0 | 63 | 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 | 120 | 0 | 0.095155 | Calculate the compound interest: $200 invested at 9.515544457% annual rate for 5 years.
FINAL: | 315.071288 | 315.071288 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 1 | 0.094225 | Calculate the compound interest: $200 invested at 9.422481698% annual rate for 5 years.
FINAL: | 313.734875 | 313.734875 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 2 | 0.093157 | Calculate the compound interest: $200 invested at 9.315719663% annual rate for 5 years.
FINAL: | 312.207324 | 312.207324 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 3 | 0.091963 | Calculate the compound interest: $200 invested at 9.196286529% annual rate for 5 years.
FINAL: | 310.505533 | 310.505533 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 4 | 0.090653 | Calculate the compound interest: $200 invested at 9.065332501% annual rate for 5 years.
FINAL: | 308.648119 | 308.648119 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 5 | 0.089241 | Calculate the compound interest: $200 invested at 8.924118739% annual rate for 5 years.
FINAL: | 306.655155 | 306.655155 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 6 | 0.08774 | Calculate the compound interest: $200 invested at 8.774005208% annual rate for 5 years.
FINAL: | 304.547891 | 304.547891 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 7 | 0.086164 | Calculate the compound interest: $200 invested at 8.616437584% annual rate for 5 years.
FINAL: | 302.348466 | 302.348466 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 8 | 0.084529 | Calculate the compound interest: $200 invested at 8.452933329% annual rate for 5 years.
FINAL: | 300.079626 | 300.079626 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 9 | 0.082851 | Calculate the compound interest: $200 invested at 8.285067078% annual rate for 5 years.
FINAL: | 297.764449 | 297.764449 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 10 | 0.081145 | Calculate the compound interest: $200 invested at 8.114455476% annual rate for 5 years.
FINAL: | 295.426073 | 295.426073 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 11 | 0.079427 | Calculate the compound interest: $200 invested at 7.942741605% annual rate for 5 years.
FINAL: | 293.087447 | 293.087447 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 12 | 0.077716 | Calculate the compound interest: $200 invested at 7.771579164% annual rate for 5 years.
FINAL: | 290.771093 | 290.771093 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 13 | 0.076026 | Calculate the compound interest: $200 invested at 7.60261654% annual rate for 5 years.
FINAL: | 288.498896 | 288.498896 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 14 | 0.074375 | Calculate the compound interest: $200 invested at 7.437480936% annual rate for 5 years.
FINAL: | 286.291913 | 286.291913 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 15 | 0.072778 | Calculate the compound interest: $200 invested at 7.277762698% annual rate for 5 years.
FINAL: | 284.170201 | 284.170201 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 16 | 0.07125 | Calculate the compound interest: $200 invested at 7.125% annual rate for 5 years.
FINAL: | 282.152674 | 282.152674 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 17 | 0.069807 | Calculate the compound interest: $200 invested at 6.98066403% annual rate for 5 years.
FINAL: | 280.256983 | 280.256983 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 18 | 0.068461 | Calculate the compound interest: $200 invested at 6.846144824% annual rate for 5 years.
FINAL: | 278.49941 | 278.49941 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 19 | 0.067227 | Calculate the compound interest: $200 invested at 6.722737873% annual rate for 5 years.
FINAL: | 276.894791 | 276.894791 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 20 | 0.066116 | Calculate the compound interest: $200 invested at 6.611631654% annual rate for 5 years.
FINAL: | 275.45645 | 275.45645 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 21 | 0.065139 | Calculate the compound interest: $200 invested at 6.513896182% annual rate for 5 years.
FINAL: | 274.196149 | 274.196149 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 22 | 0.064305 | Calculate the compound interest: $200 invested at 6.430472702% annual rate for 5 years.
FINAL: | 273.124054 | 273.124054 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 23 | 0.063622 | Calculate the compound interest: $200 invested at 6.362164628% annual rate for 5 years.
FINAL: | 272.248711 | 272.248711 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 24 | 0.063096 | Calculate the compound interest: $200 invested at 6.309629804% annual rate for 5 years.
FINAL: | 271.577024 | 271.577024 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 25 | 0.062734 | Calculate the compound interest: $200 invested at 6.273374169% annual rate for 5 years.
FINAL: | 271.114249 | 271.114249 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 26 | 0.062537 | Calculate the compound interest: $200 invested at 6.253746884% annual rate for 5 years.
FINAL: | 270.863986 | 270.863986 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 27 | 0.062509 | Calculate the compound interest: $200 invested at 6.250936972% annual rate for 5 years.
FINAL: | 270.828172 | 270.828172 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 28 | 0.06265 | Calculate the compound interest: $200 invested at 6.264971493% annual rate for 5 years.
FINAL: | 271.007086 | 271.007086 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 29 | 0.062957 | Calculate the compound interest: $200 invested at 6.295715286% annual rate for 5 years.
FINAL: | 271.399341 | 271.399341 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 30 | 0.063429 | Calculate the compound interest: $200 invested at 6.342872273% annual rate for 5 years.
FINAL: | 272.001893 | 272.001893 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 31 | 0.06406 | Calculate the compound interest: $200 invested at 6.405988306% annual rate for 5 years.
FINAL: | 272.810037 | 272.810037 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 32 | 0.064845 | Calculate the compound interest: $200 invested at 6.484455543% annual rate for 5 years.
FINAL: | 273.817417 | 273.817417 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 33 | 0.065775 | Calculate the compound interest: $200 invested at 6.577518302% annual rate for 5 years.
FINAL: | 275.016032 | 275.016032 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 34 | 0.066843 | Calculate the compound interest: $200 invested at 6.684280337% annual rate for 5 years.
FINAL: | 276.396256 | 276.396256 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 35 | 0.068037 | Calculate the compound interest: $200 invested at 6.803713471% annual rate for 5 years.
FINAL: | 277.946853 | 277.946853 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 36 | 0.069347 | Calculate the compound interest: $200 invested at 6.934667499% annual rate for 5 years.
FINAL: | 279.655015 | 279.655015 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 37 | 0.070759 | Calculate the compound interest: $200 invested at 7.075881261% annual rate for 5 years.
FINAL: | 281.506406 | 281.506406 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 38 | 0.07226 | Calculate the compound interest: $200 invested at 7.225994792% annual rate for 5 years.
FINAL: | 283.485217 | 283.485217 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 39 | 0.073836 | Calculate the compound interest: $200 invested at 7.383562416% annual rate for 5 years.
FINAL: | 285.574242 | 285.574242 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 40 | 0.075471 | Calculate the compound interest: $200 invested at 7.547066671% annual rate for 5 years.
FINAL: | 287.754977 | 287.754977 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 41 | 0.077149 | Calculate the compound interest: $200 invested at 7.714932922% annual rate for 5 years.
FINAL: | 290.007729 | 290.007729 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 42 | 0.078855 | Calculate the compound interest: $200 invested at 7.885544524% annual rate for 5 years.
FINAL: | 292.311758 | 292.311758 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 43 | 0.080573 | Calculate the compound interest: $200 invested at 8.057258395% annual rate for 5 years.
FINAL: | 294.645436 | 294.645436 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 44 | 0.082284 | Calculate the compound interest: $200 invested at 8.228420836% annual rate for 5 years.
FINAL: | 296.986429 | 296.986429 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 45 | 0.083974 | Calculate the compound interest: $200 invested at 8.39738346% annual rate for 5 years.
FINAL: | 299.311905 | 299.311905 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 46 | 0.085625 | Calculate the compound interest: $200 invested at 8.562519064% annual rate for 5 years.
FINAL: | 301.598763 | 301.598763 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 47 | 0.087222 | Calculate the compound interest: $200 invested at 8.722237302% annual rate for 5 years.
FINAL: | 303.823876 | 303.823876 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 48 | 0.08875 | Calculate the compound interest: $200 invested at 8.875% annual rate for 5 years.
FINAL: | 305.964356 | 305.964356 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 49 | 0.090193 | Calculate the compound interest: $200 invested at 9.01933597% annual rate for 5 years.
FINAL: | 307.997831 | 307.997831 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 50 | 0.091539 | Calculate the compound interest: $200 invested at 9.153855176% annual rate for 5 years.
FINAL: | 309.902722 | 309.902722 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 51 | 0.092773 | Calculate the compound interest: $200 invested at 9.277262127% annual rate for 5 years.
FINAL: | 311.658534 | 311.658534 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 52 | 0.093884 | Calculate the compound interest: $200 invested at 9.388368346% annual rate for 5 years.
FINAL: | 313.246132 | 313.246132 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 53 | 0.094861 | Calculate the compound interest: $200 invested at 9.486103818% annual rate for 5 years.
FINAL: | 314.648019 | 314.648019 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 54 | 0.095695 | Calculate the compound interest: $200 invested at 9.569527298% annual rate for 5 years.
FINAL: | 315.848585 | 315.848585 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 55 | 0.096378 | Calculate the compound interest: $200 invested at 9.637835372% annual rate for 5 years.
FINAL: | 316.834349 | 316.834349 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 56 | 0.096904 | Calculate the compound interest: $200 invested at 9.690370196% annual rate for 5 years.
FINAL: | 317.594159 | 317.594159 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 57 | 0.097266 | Calculate the compound interest: $200 invested at 9.726625831% annual rate for 5 years.
FINAL: | 318.119373 | 318.119373 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 58 | 0.097463 | Calculate the compound interest: $200 invested at 9.746253116% annual rate for 5 years.
FINAL: | 318.403992 | 318.403992 |
exponential_interest | 1 | sinusoid | 2.5 | 1 | 120 | 59 | 0.097491 | Calculate the compound interest: $200 invested at 9.749063028% annual rate for 5 years.
FINAL: | 318.444756 | 318.444756 |
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