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 3.5 4.5 | prompt stringlengths 35 50 | ground_truth float64 3.56 10.3 | symbolic_baseline_answer float64 3.56 10.3 |
|---|---|---|---|---|---|---|---|---|---|---|
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 0 | 4 | Solve for x: 4.0x + 3 = 27
FINAL: | 6 | 6 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 1 | 4.009802 | Solve for x: 4.009801714032956x + 3 = 27
FINAL: | 5.985333 | 5.985333 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 2 | 4.019509 | Solve for x: 4.019509032201613x + 3 = 27
FINAL: | 5.970878 | 5.970878 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 3 | 4.029028 | Solve for x: 4.029028467725446x + 3 = 27
FINAL: | 5.956771 | 5.956771 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 4 | 4.038268 | Solve for x: 4.038268343236509x + 3 = 27
FINAL: | 5.943141 | 5.943141 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 5 | 4.04714 | Solve for x: 4.0471396736826x + 3 = 27
FINAL: | 5.930114 | 5.930114 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 6 | 4.055557 | Solve for x: 4.05555702330196x + 3 = 27
FINAL: | 5.917806 | 5.917806 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 7 | 4.063439 | Solve for x: 4.063439328416364x + 3 = 27
FINAL: | 5.906327 | 5.906327 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 8 | 4.070711 | Solve for x: 4.070710678118655x + 3 = 27
FINAL: | 5.895776 | 5.895776 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 9 | 4.077301 | Solve for x: 4.077301045336274x + 3 = 27
FINAL: | 5.886247 | 5.886247 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 10 | 4.083147 | Solve for x: 4.083146961230255x + 3 = 27
FINAL: | 5.877819 | 5.877819 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 11 | 4.088192 | Solve for x: 4.088192126434835x + 3 = 27
FINAL: | 5.870566 | 5.870566 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 12 | 4.092388 | Solve for x: 4.092387953251128x + 3 = 27
FINAL: | 5.864547 | 5.864547 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 13 | 4.095694 | Solve for x: 4.095694033573221x + 3 = 27
FINAL: | 5.859813 | 5.859813 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 14 | 4.098079 | Solve for x: 4.098078528040323x + 3 = 27
FINAL: | 5.856403 | 5.856403 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 15 | 4.099518 | Solve for x: 4.09951847266722x + 3 = 27
FINAL: | 5.854346 | 5.854346 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 16 | 4.1 | Solve for x: 4.1x + 3 = 27
FINAL: | 5.853659 | 5.853659 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 17 | 4.099518 | Solve for x: 4.09951847266722x + 3 = 27
FINAL: | 5.854346 | 5.854346 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 18 | 4.098079 | Solve for x: 4.098078528040323x + 3 = 27
FINAL: | 5.856403 | 5.856403 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 19 | 4.095694 | Solve for x: 4.095694033573221x + 3 = 27
FINAL: | 5.859813 | 5.859813 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 20 | 4.092388 | Solve for x: 4.092387953251128x + 3 = 27
FINAL: | 5.864547 | 5.864547 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 21 | 4.088192 | Solve for x: 4.088192126434835x + 3 = 27
FINAL: | 5.870566 | 5.870566 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 22 | 4.083147 | Solve for x: 4.083146961230255x + 3 = 27
FINAL: | 5.877819 | 5.877819 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 23 | 4.077301 | Solve for x: 4.077301045336274x + 3 = 27
FINAL: | 5.886247 | 5.886247 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 24 | 4.070711 | Solve for x: 4.070710678118655x + 3 = 27
FINAL: | 5.895776 | 5.895776 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 25 | 4.063439 | Solve for x: 4.063439328416364x + 3 = 27
FINAL: | 5.906327 | 5.906327 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 26 | 4.055557 | Solve for x: 4.05555702330196x + 3 = 27
FINAL: | 5.917806 | 5.917806 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 27 | 4.04714 | Solve for x: 4.0471396736826x + 3 = 27
FINAL: | 5.930114 | 5.930114 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 28 | 4.038268 | Solve for x: 4.038268343236509x + 3 = 27
FINAL: | 5.943141 | 5.943141 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 29 | 4.029028 | Solve for x: 4.029028467725446x + 3 = 27
FINAL: | 5.956771 | 5.956771 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 30 | 4.019509 | Solve for x: 4.019509032201613x + 3 = 27
FINAL: | 5.970878 | 5.970878 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 31 | 4.009802 | Solve for x: 4.009801714032956x + 3 = 27
FINAL: | 5.985333 | 5.985333 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 32 | 4 | Solve for x: 4.0x + 3 = 27
FINAL: | 6 | 6 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 33 | 3.990198 | Solve for x: 3.9901982859670437x + 3 = 27
FINAL: | 6.014739 | 6.014739 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 34 | 3.980491 | Solve for x: 3.9804909677983873x + 3 = 27
FINAL: | 6.029407 | 6.029407 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 35 | 3.970972 | Solve for x: 3.970971532274554x + 3 = 27
FINAL: | 6.043861 | 6.043861 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 36 | 3.961732 | Solve for x: 3.961731656763491x + 3 = 27
FINAL: | 6.057957 | 6.057957 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 37 | 3.95286 | Solve for x: 3.9528603263174x + 3 = 27
FINAL: | 6.071553 | 6.071553 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 38 | 3.944443 | Solve for x: 3.94444297669804x + 3 = 27
FINAL: | 6.084509 | 6.084509 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 39 | 3.936561 | Solve for x: 3.9365606715836354x + 3 = 27
FINAL: | 6.096693 | 6.096693 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 40 | 3.929289 | Solve for x: 3.9292893218813454x + 3 = 27
FINAL: | 6.107975 | 6.107975 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 41 | 3.922699 | Solve for x: 3.9226989546637263x + 3 = 27
FINAL: | 6.118237 | 6.118237 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 42 | 3.916853 | Solve for x: 3.9168530387697453x + 3 = 27
FINAL: | 6.127368 | 6.127368 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 43 | 3.911808 | Solve for x: 3.9118078735651647x + 3 = 27
FINAL: | 6.135271 | 6.135271 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 44 | 3.907612 | Solve for x: 3.9076120467488713x + 3 = 27
FINAL: | 6.141858 | 6.141858 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 45 | 3.904306 | Solve for x: 3.904305966426779x + 3 = 27
FINAL: | 6.147059 | 6.147059 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 46 | 3.901921 | Solve for x: 3.901921471959677x + 3 = 27
FINAL: | 6.150816 | 6.150816 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 47 | 3.900482 | Solve for x: 3.90048152733278x + 3 = 27
FINAL: | 6.153086 | 6.153086 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 48 | 3.9 | Solve for x: 3.9x + 3 = 27
FINAL: | 6.153846 | 6.153846 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 49 | 3.900482 | Solve for x: 3.90048152733278x + 3 = 27
FINAL: | 6.153086 | 6.153086 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 50 | 3.901921 | Solve for x: 3.901921471959677x + 3 = 27
FINAL: | 6.150816 | 6.150816 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 51 | 3.904306 | Solve for x: 3.904305966426779x + 3 = 27
FINAL: | 6.147059 | 6.147059 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 52 | 3.907612 | Solve for x: 3.9076120467488713x + 3 = 27
FINAL: | 6.141858 | 6.141858 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 53 | 3.911808 | Solve for x: 3.9118078735651647x + 3 = 27
FINAL: | 6.135271 | 6.135271 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 54 | 3.916853 | Solve for x: 3.9168530387697453x + 3 = 27
FINAL: | 6.127368 | 6.127368 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 55 | 3.922699 | Solve for x: 3.9226989546637263x + 3 = 27
FINAL: | 6.118237 | 6.118237 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 56 | 3.929289 | Solve for x: 3.9292893218813454x + 3 = 27
FINAL: | 6.107975 | 6.107975 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 57 | 3.936561 | Solve for x: 3.9365606715836354x + 3 = 27
FINAL: | 6.096693 | 6.096693 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 58 | 3.944443 | Solve for x: 3.94444297669804x + 3 = 27
FINAL: | 6.084509 | 6.084509 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 59 | 3.95286 | Solve for x: 3.9528603263174x + 3 = 27
FINAL: | 6.071553 | 6.071553 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 60 | 3.961732 | Solve for x: 3.961731656763491x + 3 = 27
FINAL: | 6.057957 | 6.057957 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 61 | 3.970972 | Solve for x: 3.970971532274554x + 3 = 27
FINAL: | 6.043861 | 6.043861 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 62 | 3.980491 | Solve for x: 3.9804909677983873x + 3 = 27
FINAL: | 6.029407 | 6.029407 |
linear_solve | 0 | sinusoid | 0.5 | 1 | 0 | 63 | 3.990198 | Solve for x: 3.9901982859670437x + 3 = 27
FINAL: | 6.014739 | 6.014739 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 0 | 4 | Solve for x: 4.0x + 3 = 27
FINAL: | 6 | 6 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 1 | 4.019509 | Solve for x: 4.019509032201613x + 3 = 27
FINAL: | 5.970878 | 5.970878 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 2 | 4.038268 | Solve for x: 4.038268343236509x + 3 = 27
FINAL: | 5.943141 | 5.943141 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 3 | 4.055557 | Solve for x: 4.05555702330196x + 3 = 27
FINAL: | 5.917806 | 5.917806 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 4 | 4.070711 | Solve for x: 4.070710678118655x + 3 = 27
FINAL: | 5.895776 | 5.895776 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 5 | 4.083147 | Solve for x: 4.083146961230255x + 3 = 27
FINAL: | 5.877819 | 5.877819 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 6 | 4.092388 | Solve for x: 4.092387953251128x + 3 = 27
FINAL: | 5.864547 | 5.864547 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 7 | 4.098079 | Solve for x: 4.098078528040323x + 3 = 27
FINAL: | 5.856403 | 5.856403 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 8 | 4.1 | Solve for x: 4.1x + 3 = 27
FINAL: | 5.853659 | 5.853659 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 9 | 4.098079 | Solve for x: 4.098078528040323x + 3 = 27
FINAL: | 5.856403 | 5.856403 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 10 | 4.092388 | Solve for x: 4.092387953251128x + 3 = 27
FINAL: | 5.864547 | 5.864547 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 11 | 4.083147 | Solve for x: 4.083146961230255x + 3 = 27
FINAL: | 5.877819 | 5.877819 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 12 | 4.070711 | Solve for x: 4.070710678118655x + 3 = 27
FINAL: | 5.895776 | 5.895776 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 13 | 4.055557 | Solve for x: 4.05555702330196x + 3 = 27
FINAL: | 5.917806 | 5.917806 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 14 | 4.038268 | Solve for x: 4.038268343236509x + 3 = 27
FINAL: | 5.943141 | 5.943141 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 15 | 4.019509 | Solve for x: 4.019509032201613x + 3 = 27
FINAL: | 5.970878 | 5.970878 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 16 | 4 | Solve for x: 4.0x + 3 = 27
FINAL: | 6 | 6 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 17 | 3.980491 | Solve for x: 3.9804909677983873x + 3 = 27
FINAL: | 6.029407 | 6.029407 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 18 | 3.961732 | Solve for x: 3.961731656763491x + 3 = 27
FINAL: | 6.057957 | 6.057957 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 19 | 3.944443 | Solve for x: 3.94444297669804x + 3 = 27
FINAL: | 6.084509 | 6.084509 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 20 | 3.929289 | Solve for x: 3.9292893218813454x + 3 = 27
FINAL: | 6.107975 | 6.107975 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 21 | 3.916853 | Solve for x: 3.9168530387697453x + 3 = 27
FINAL: | 6.127368 | 6.127368 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 22 | 3.907612 | Solve for x: 3.9076120467488713x + 3 = 27
FINAL: | 6.141858 | 6.141858 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 23 | 3.901921 | Solve for x: 3.901921471959677x + 3 = 27
FINAL: | 6.150816 | 6.150816 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 24 | 3.9 | Solve for x: 3.9x + 3 = 27
FINAL: | 6.153846 | 6.153846 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 25 | 3.901921 | Solve for x: 3.901921471959677x + 3 = 27
FINAL: | 6.150816 | 6.150816 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 26 | 3.907612 | Solve for x: 3.9076120467488713x + 3 = 27
FINAL: | 6.141858 | 6.141858 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 27 | 3.916853 | Solve for x: 3.9168530387697453x + 3 = 27
FINAL: | 6.127368 | 6.127368 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 28 | 3.929289 | Solve for x: 3.9292893218813454x + 3 = 27
FINAL: | 6.107975 | 6.107975 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 29 | 3.944443 | Solve for x: 3.94444297669804x + 3 = 27
FINAL: | 6.084509 | 6.084509 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 30 | 3.961732 | Solve for x: 3.961731656763491x + 3 = 27
FINAL: | 6.057957 | 6.057957 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 31 | 3.980491 | Solve for x: 3.9804909677983873x + 3 = 27
FINAL: | 6.029407 | 6.029407 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 32 | 4 | Solve for x: 4.0x + 3 = 27
FINAL: | 6 | 6 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 33 | 4.019509 | Solve for x: 4.019509032201613x + 3 = 27
FINAL: | 5.970878 | 5.970878 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 34 | 4.038268 | Solve for x: 4.038268343236509x + 3 = 27
FINAL: | 5.943141 | 5.943141 |
linear_solve | 0 | sinusoid | 0.5 | 2 | 0 | 35 | 4.055557 | Solve for x: 4.05555702330196x + 3 = 27
FINAL: | 5.917806 | 5.917806 |
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