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 | 1 | sinusoid | 0.5 | 2 | 120 | 56 | 4.05 | Solve for x: 4.05x + 5 = 41
FINAL: | 8.888889 | 8.888889 |
linear_solve | 1 | sinusoid | 0.5 | 2 | 120 | 57 | 4.065935 | Solve for x: 4.065934581510007x + 5 = 41
FINAL: | 8.854053 | 8.854053 |
linear_solve | 1 | sinusoid | 0.5 | 2 | 120 | 58 | 4.079335 | Solve for x: 4.079335334029124x + 5 = 41
FINAL: | 8.824967 | 8.824967 |
linear_solve | 1 | sinusoid | 0.5 | 2 | 120 | 59 | 4.089687 | Solve for x: 4.089687274153269x + 5 = 41
FINAL: | 8.802629 | 8.802629 |
linear_solve | 1 | sinusoid | 0.5 | 2 | 120 | 60 | 4.096593 | Solve for x: 4.096592582628907x + 5 = 41
FINAL: | 8.787791 | 8.787791 |
linear_solve | 1 | sinusoid | 0.5 | 2 | 120 | 61 | 4.099786 | Solve for x: 4.09978589232386x + 5 = 41
FINAL: | 8.780946 | 8.780946 |
linear_solve | 1 | sinusoid | 0.5 | 2 | 120 | 62 | 4.099144 | Solve for x: 4.099144486137381x + 5 = 41
FINAL: | 8.78232 | 8.78232 |
linear_solve | 1 | sinusoid | 0.5 | 2 | 120 | 63 | 4.094693 | Solve for x: 4.09469301294951x + 5 = 41
FINAL: | 8.791868 | 8.791868 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 0 | 4.086603 | Solve for x: 4.086602540378444x + 5 = 41
FINAL: | 8.809274 | 8.809274 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 1 | 4.060876 | Solve for x: 4.060876142900872x + 5 = 41
FINAL: | 8.865082 | 8.865082 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 2 | 4.025882 | Solve for x: 4.0258819045102525x + 5 = 41
FINAL: | 8.94214 | 8.94214 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 3 | 3.986947 | Solve for x: 3.9869473807779947x + 5 = 41
FINAL: | 9.029465 | 9.029465 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 4 | 3.95 | Solve for x: 3.95x + 5 = 41
FINAL: | 9.113924 | 9.113924 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 5 | 3.920665 | Solve for x: 3.9206646659708766x + 5 = 41
FINAL: | 9.182117 | 9.182117 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 6 | 3.903407 | Solve for x: 3.9034074173710933x + 5 = 41
FINAL: | 9.222711 | 9.222711 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 7 | 3.900856 | Solve for x: 3.900855513862619x + 5 = 41
FINAL: | 9.228745 | 9.228745 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 8 | 3.913397 | Solve for x: 3.913397459621556x + 5 = 41
FINAL: | 9.199168 | 9.199168 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 9 | 3.939124 | Solve for x: 3.939123857099128x + 5 = 41
FINAL: | 9.139088 | 9.139088 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 10 | 3.974118 | Solve for x: 3.974118095489748x + 5 = 41
FINAL: | 9.058614 | 9.058614 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 11 | 4.013053 | Solve for x: 4.013052619222005x + 5 = 41
FINAL: | 8.970727 | 8.970727 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 12 | 4.05 | Solve for x: 4.05x + 5 = 41
FINAL: | 8.888889 | 8.888889 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 13 | 4.079335 | Solve for x: 4.079335334029124x + 5 = 41
FINAL: | 8.824967 | 8.824967 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 14 | 4.096593 | Solve for x: 4.096592582628907x + 5 = 41
FINAL: | 8.787791 | 8.787791 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 15 | 4.099144 | Solve for x: 4.099144486137381x + 5 = 41
FINAL: | 8.78232 | 8.78232 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 16 | 4.086603 | Solve for x: 4.086602540378444x + 5 = 41
FINAL: | 8.809274 | 8.809274 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 17 | 4.060876 | Solve for x: 4.060876142900872x + 5 = 41
FINAL: | 8.865082 | 8.865082 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 18 | 4.025882 | Solve for x: 4.0258819045102525x + 5 = 41
FINAL: | 8.94214 | 8.94214 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 19 | 3.986947 | Solve for x: 3.986947380777995x + 5 = 41
FINAL: | 9.029465 | 9.029465 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 20 | 3.95 | Solve for x: 3.95x + 5 = 41
FINAL: | 9.113924 | 9.113924 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 21 | 3.920665 | Solve for x: 3.9206646659708766x + 5 = 41
FINAL: | 9.182117 | 9.182117 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 22 | 3.903407 | Solve for x: 3.9034074173710933x + 5 = 41
FINAL: | 9.222711 | 9.222711 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 23 | 3.900856 | Solve for x: 3.900855513862619x + 5 = 41
FINAL: | 9.228745 | 9.228745 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 24 | 3.913397 | Solve for x: 3.913397459621556x + 5 = 41
FINAL: | 9.199168 | 9.199168 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 25 | 3.939124 | Solve for x: 3.939123857099128x + 5 = 41
FINAL: | 9.139088 | 9.139088 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 26 | 3.974118 | Solve for x: 3.974118095489748x + 5 = 41
FINAL: | 9.058614 | 9.058614 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 27 | 4.013053 | Solve for x: 4.013052619222005x + 5 = 41
FINAL: | 8.970727 | 8.970727 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 28 | 4.05 | Solve for x: 4.05x + 5 = 41
FINAL: | 8.888889 | 8.888889 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 29 | 4.079335 | Solve for x: 4.079335334029124x + 5 = 41
FINAL: | 8.824967 | 8.824967 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 30 | 4.096593 | Solve for x: 4.096592582628907x + 5 = 41
FINAL: | 8.787791 | 8.787791 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 31 | 4.099144 | Solve for x: 4.099144486137381x + 5 = 41
FINAL: | 8.78232 | 8.78232 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 32 | 4.086603 | Solve for x: 4.086602540378444x + 5 = 41
FINAL: | 8.809274 | 8.809274 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 33 | 4.060876 | Solve for x: 4.060876142900872x + 5 = 41
FINAL: | 8.865082 | 8.865082 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 34 | 4.025882 | Solve for x: 4.0258819045102525x + 5 = 41
FINAL: | 8.94214 | 8.94214 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 35 | 3.986947 | Solve for x: 3.986947380777995x + 5 = 41
FINAL: | 9.029465 | 9.029465 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 36 | 3.95 | Solve for x: 3.95x + 5 = 41
FINAL: | 9.113924 | 9.113924 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 37 | 3.920665 | Solve for x: 3.9206646659708766x + 5 = 41
FINAL: | 9.182117 | 9.182117 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 38 | 3.903407 | Solve for x: 3.9034074173710933x + 5 = 41
FINAL: | 9.222711 | 9.222711 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 39 | 3.900856 | Solve for x: 3.900855513862619x + 5 = 41
FINAL: | 9.228745 | 9.228745 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 40 | 3.913397 | Solve for x: 3.913397459621556x + 5 = 41
FINAL: | 9.199168 | 9.199168 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 41 | 3.939124 | Solve for x: 3.939123857099128x + 5 = 41
FINAL: | 9.139088 | 9.139088 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 42 | 3.974118 | Solve for x: 3.974118095489748x + 5 = 41
FINAL: | 9.058614 | 9.058614 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 43 | 4.013053 | Solve for x: 4.013052619222005x + 5 = 41
FINAL: | 8.970727 | 8.970727 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 44 | 4.05 | Solve for x: 4.05x + 5 = 41
FINAL: | 8.888889 | 8.888889 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 45 | 4.079335 | Solve for x: 4.079335334029124x + 5 = 41
FINAL: | 8.824967 | 8.824967 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 46 | 4.096593 | Solve for x: 4.096592582628907x + 5 = 41
FINAL: | 8.787791 | 8.787791 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 47 | 4.099144 | Solve for x: 4.099144486137381x + 5 = 41
FINAL: | 8.78232 | 8.78232 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 48 | 4.086603 | Solve for x: 4.086602540378444x + 5 = 41
FINAL: | 8.809274 | 8.809274 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 49 | 4.060876 | Solve for x: 4.060876142900872x + 5 = 41
FINAL: | 8.865082 | 8.865082 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 50 | 4.025882 | Solve for x: 4.025881904510252x + 5 = 41
FINAL: | 8.94214 | 8.94214 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 51 | 3.986947 | Solve for x: 3.9869473807779947x + 5 = 41
FINAL: | 9.029465 | 9.029465 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 52 | 3.95 | Solve for x: 3.9499999999999997x + 5 = 41
FINAL: | 9.113924 | 9.113924 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 53 | 3.920665 | Solve for x: 3.9206646659708766x + 5 = 41
FINAL: | 9.182117 | 9.182117 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 54 | 3.903407 | Solve for x: 3.9034074173710933x + 5 = 41
FINAL: | 9.222711 | 9.222711 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 55 | 3.900856 | Solve for x: 3.900855513862619x + 5 = 41
FINAL: | 9.228745 | 9.228745 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 56 | 3.913397 | Solve for x: 3.913397459621556x + 5 = 41
FINAL: | 9.199168 | 9.199168 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 57 | 3.939124 | Solve for x: 3.939123857099128x + 5 = 41
FINAL: | 9.139088 | 9.139088 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 58 | 3.974118 | Solve for x: 3.974118095489748x + 5 = 41
FINAL: | 9.058614 | 9.058614 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 59 | 4.013053 | Solve for x: 4.013052619222005x + 5 = 41
FINAL: | 8.970727 | 8.970727 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 60 | 4.05 | Solve for x: 4.05x + 5 = 41
FINAL: | 8.888889 | 8.888889 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 61 | 4.079335 | Solve for x: 4.079335334029124x + 5 = 41
FINAL: | 8.824967 | 8.824967 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 62 | 4.096593 | Solve for x: 4.096592582628907x + 5 = 41
FINAL: | 8.787791 | 8.787791 |
linear_solve | 1 | sinusoid | 0.5 | 4 | 120 | 63 | 4.099144 | Solve for x: 4.099144486137381x + 5 = 41
FINAL: | 8.78232 | 8.78232 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 0 | 4.086603 | Solve for x: 4.086602540378444x + 5 = 41
FINAL: | 8.809274 | 8.809274 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 1 | 4.025882 | Solve for x: 4.0258819045102525x + 5 = 41
FINAL: | 8.94214 | 8.94214 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 2 | 3.95 | Solve for x: 3.95x + 5 = 41
FINAL: | 9.113924 | 9.113924 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 3 | 3.903407 | Solve for x: 3.9034074173710933x + 5 = 41
FINAL: | 9.222711 | 9.222711 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 4 | 3.913397 | Solve for x: 3.913397459621556x + 5 = 41
FINAL: | 9.199168 | 9.199168 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 5 | 3.974118 | Solve for x: 3.974118095489748x + 5 = 41
FINAL: | 9.058614 | 9.058614 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 6 | 4.05 | Solve for x: 4.05x + 5 = 41
FINAL: | 8.888889 | 8.888889 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 7 | 4.096593 | Solve for x: 4.096592582628907x + 5 = 41
FINAL: | 8.787791 | 8.787791 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 8 | 4.086603 | Solve for x: 4.086602540378444x + 5 = 41
FINAL: | 8.809274 | 8.809274 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 9 | 4.025882 | Solve for x: 4.0258819045102525x + 5 = 41
FINAL: | 8.94214 | 8.94214 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 10 | 3.95 | Solve for x: 3.95x + 5 = 41
FINAL: | 9.113924 | 9.113924 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 11 | 3.903407 | Solve for x: 3.9034074173710933x + 5 = 41
FINAL: | 9.222711 | 9.222711 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 12 | 3.913397 | Solve for x: 3.913397459621556x + 5 = 41
FINAL: | 9.199168 | 9.199168 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 13 | 3.974118 | Solve for x: 3.974118095489748x + 5 = 41
FINAL: | 9.058614 | 9.058614 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 14 | 4.05 | Solve for x: 4.05x + 5 = 41
FINAL: | 8.888889 | 8.888889 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 15 | 4.096593 | Solve for x: 4.096592582628907x + 5 = 41
FINAL: | 8.787791 | 8.787791 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 16 | 4.086603 | Solve for x: 4.086602540378444x + 5 = 41
FINAL: | 8.809274 | 8.809274 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 17 | 4.025882 | Solve for x: 4.0258819045102525x + 5 = 41
FINAL: | 8.94214 | 8.94214 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 18 | 3.95 | Solve for x: 3.95x + 5 = 41
FINAL: | 9.113924 | 9.113924 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 19 | 3.903407 | Solve for x: 3.9034074173710933x + 5 = 41
FINAL: | 9.222711 | 9.222711 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 20 | 3.913397 | Solve for x: 3.913397459621556x + 5 = 41
FINAL: | 9.199168 | 9.199168 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 21 | 3.974118 | Solve for x: 3.974118095489748x + 5 = 41
FINAL: | 9.058614 | 9.058614 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 22 | 4.05 | Solve for x: 4.05x + 5 = 41
FINAL: | 8.888889 | 8.888889 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 23 | 4.096593 | Solve for x: 4.096592582628907x + 5 = 41
FINAL: | 8.787791 | 8.787791 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 24 | 4.086603 | Solve for x: 4.086602540378444x + 5 = 41
FINAL: | 8.809274 | 8.809274 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 25 | 4.025882 | Solve for x: 4.025881904510252x + 5 = 41
FINAL: | 8.94214 | 8.94214 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 26 | 3.95 | Solve for x: 3.9499999999999997x + 5 = 41
FINAL: | 9.113924 | 9.113924 |
linear_solve | 1 | sinusoid | 0.5 | 8 | 120 | 27 | 3.903407 | Solve for x: 3.9034074173710933x + 5 = 41
FINAL: | 9.222711 | 9.222711 |
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