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 | 1 | 2 | 240 | 16 | 0.086062 | Calculate the compound interest: $100 invested at 8.606217783% annual rate for 6 years.
FINAL: | 164.10739 | 164.10739 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 17 | 0.086629 | Calculate the compound interest: $100 invested at 8.662851091% annual rate for 6 years.
FINAL: | 164.621508 | 164.621508 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 18 | 0.08694 | Calculate the compound interest: $100 invested at 8.694011403% annual rate for 6 years.
FINAL: | 164.904953 | 164.904953 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 19 | 0.086985 | Calculate the compound interest: $100 invested at 8.698501246% annual rate for 6 years.
FINAL: | 164.945828 | 164.945828 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 20 | 0.086761 | Calculate the compound interest: $100 invested at 8.676148078% annual rate for 6 years.
FINAL: | 164.742412 | 164.742412 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 21 | 0.086278 | Calculate the compound interest: $100 invested at 8.627810919% annual rate for 6 years.
FINAL: | 164.303255 | 164.303255 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 22 | 0.085553 | Calculate the compound interest: $100 invested at 8.555347338% annual rate for 6 years.
FINAL: | 163.646728 | 163.646728 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 23 | 0.084615 | Calculate the compound interest: $100 invested at 8.461542071% annual rate for 6 years.
FINAL: | 162.800093 | 162.800093 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 24 | 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 | 1 | 2 | 240 | 25 | 0.08225 | Calculate the compound interest: $100 invested at 8.225007626% annual rate for 6 years.
FINAL: | 160.681453 | 160.681453 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 26 | 0.080914 | Calculate the compound interest: $100 invested at 8.091368335% annual rate for 6 years.
FINAL: | 159.494638 | 159.494638 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 27 | 0.079542 | Calculate the compound interest: $100 invested at 7.95421781% annual rate for 6 years.
FINAL: | 158.284245 | 158.284245 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 28 | 0.078188 | Calculate the compound interest: $100 invested at 7.818826668% annual rate for 6 years.
FINAL: | 157.096897 | 157.096897 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 29 | 0.076904 | Calculate the compound interest: $100 invested at 7.690397917% annual rate for 6 years.
FINAL: | 155.977477 | 155.977477 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 30 | 0.075739 | Calculate the compound interest: $100 invested at 7.573867% annual rate for 6 years.
FINAL: | 154.96752 | 154.96752 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 31 | 0.074737 | Calculate the compound interest: $100 invested at 7.473712135% annual rate for 6 years.
FINAL: | 154.103853 | 154.103853 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 32 | 0.073938 | Calculate the compound interest: $100 invested at 7.393782217% annual rate for 6 years.
FINAL: | 153.417473 | 153.417473 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 33 | 0.073371 | Calculate the compound interest: $100 invested at 7.337148909% annual rate for 6 years.
FINAL: | 152.932692 | 152.932692 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 34 | 0.07306 | Calculate the compound interest: $100 invested at 7.305988597% annual rate for 6 years.
FINAL: | 152.666504 | 152.666504 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 35 | 0.073015 | Calculate the compound interest: $100 invested at 7.301498754% annual rate for 6 years.
FINAL: | 152.628181 | 152.628181 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 36 | 0.073239 | Calculate the compound interest: $100 invested at 7.323851922% annual rate for 6 years.
FINAL: | 152.819054 | 152.819054 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 37 | 0.073722 | Calculate the compound interest: $100 invested at 7.372189081% annual rate for 6 years.
FINAL: | 153.232485 | 153.232485 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 38 | 0.074447 | Calculate the compound interest: $100 invested at 7.444652662% annual rate for 6 years.
FINAL: | 153.854016 | 153.854016 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 39 | 0.075385 | Calculate the compound interest: $100 invested at 7.538457929% annual rate for 6 years.
FINAL: | 154.661717 | 154.661717 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 40 | 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 | 1 | 2 | 240 | 41 | 0.07775 | Calculate the compound interest: $100 invested at 7.774992374% annual rate for 6 years.
FINAL: | 156.714075 | 156.714075 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 42 | 0.079086 | Calculate the compound interest: $100 invested at 7.908631665% annual rate for 6 years.
FINAL: | 157.883634 | 157.883634 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 43 | 0.080458 | Calculate the compound interest: $100 invested at 8.04578219% annual rate for 6 years.
FINAL: | 159.091475 | 159.091475 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 44 | 0.081812 | Calculate the compound interest: $100 invested at 8.181173332% annual rate for 6 years.
FINAL: | 160.291364 | 160.291364 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 45 | 0.083096 | Calculate the compound interest: $100 invested at 8.309602083% annual rate for 6 years.
FINAL: | 161.436511 | 161.436511 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 46 | 0.084261 | Calculate the compound interest: $100 invested at 8.426133% annual rate for 6 years.
FINAL: | 162.48146 | 162.48146 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 47 | 0.085263 | Calculate the compound interest: $100 invested at 8.526287865% annual rate for 6 years.
FINAL: | 163.384062 | 163.384062 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 48 | 0.086062 | Calculate the compound interest: $100 invested at 8.606217783% annual rate for 6 years.
FINAL: | 164.10739 | 164.10739 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 49 | 0.086629 | Calculate the compound interest: $100 invested at 8.662851091% annual rate for 6 years.
FINAL: | 164.621508 | 164.621508 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 50 | 0.08694 | Calculate the compound interest: $100 invested at 8.694011403% annual rate for 6 years.
FINAL: | 164.904953 | 164.904953 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 51 | 0.086985 | Calculate the compound interest: $100 invested at 8.698501246% annual rate for 6 years.
FINAL: | 164.945828 | 164.945828 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 52 | 0.086761 | Calculate the compound interest: $100 invested at 8.676148078% annual rate for 6 years.
FINAL: | 164.742412 | 164.742412 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 53 | 0.086278 | Calculate the compound interest: $100 invested at 8.627810919% annual rate for 6 years.
FINAL: | 164.303255 | 164.303255 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 54 | 0.085553 | Calculate the compound interest: $100 invested at 8.555347338% annual rate for 6 years.
FINAL: | 163.646728 | 163.646728 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 55 | 0.084615 | Calculate the compound interest: $100 invested at 8.461542071% annual rate for 6 years.
FINAL: | 162.800093 | 162.800093 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 56 | 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 | 1 | 2 | 240 | 57 | 0.08225 | Calculate the compound interest: $100 invested at 8.225007626% annual rate for 6 years.
FINAL: | 160.681453 | 160.681453 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 58 | 0.080914 | Calculate the compound interest: $100 invested at 8.091368335% annual rate for 6 years.
FINAL: | 159.494638 | 159.494638 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 59 | 0.079542 | Calculate the compound interest: $100 invested at 7.95421781% annual rate for 6 years.
FINAL: | 158.284245 | 158.284245 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 60 | 0.078188 | Calculate the compound interest: $100 invested at 7.818826668% annual rate for 6 years.
FINAL: | 157.096897 | 157.096897 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 61 | 0.076904 | Calculate the compound interest: $100 invested at 7.690397917% annual rate for 6 years.
FINAL: | 155.977477 | 155.977477 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 62 | 0.075739 | Calculate the compound interest: $100 invested at 7.573867% annual rate for 6 years.
FINAL: | 154.96752 | 154.96752 |
exponential_interest | 0 | sinusoid | 1 | 2 | 240 | 63 | 0.074737 | Calculate the compound interest: $100 invested at 7.473712135% annual rate for 6 years.
FINAL: | 154.103853 | 154.103853 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 0 | 0.073938 | Calculate the compound interest: $100 invested at 7.393782217% annual rate for 6 years.
FINAL: | 153.417473 | 153.417473 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 1 | 0.07306 | Calculate the compound interest: $100 invested at 7.305988597% annual rate for 6 years.
FINAL: | 152.666504 | 152.666504 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 2 | 0.073239 | Calculate the compound interest: $100 invested at 7.323851922% annual rate for 6 years.
FINAL: | 152.819054 | 152.819054 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 3 | 0.074447 | Calculate the compound interest: $100 invested at 7.444652662% annual rate for 6 years.
FINAL: | 153.854016 | 153.854016 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 4 | 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 | 1 | 4 | 240 | 5 | 0.079086 | Calculate the compound interest: $100 invested at 7.908631665% annual rate for 6 years.
FINAL: | 157.883634 | 157.883634 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 6 | 0.081812 | Calculate the compound interest: $100 invested at 8.181173332% annual rate for 6 years.
FINAL: | 160.291364 | 160.291364 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 7 | 0.084261 | Calculate the compound interest: $100 invested at 8.426133% annual rate for 6 years.
FINAL: | 162.48146 | 162.48146 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 8 | 0.086062 | Calculate the compound interest: $100 invested at 8.606217783% annual rate for 6 years.
FINAL: | 164.10739 | 164.10739 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 9 | 0.08694 | Calculate the compound interest: $100 invested at 8.694011403% annual rate for 6 years.
FINAL: | 164.904953 | 164.904953 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 10 | 0.086761 | Calculate the compound interest: $100 invested at 8.676148078% annual rate for 6 years.
FINAL: | 164.742412 | 164.742412 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 11 | 0.085553 | Calculate the compound interest: $100 invested at 8.555347338% annual rate for 6 years.
FINAL: | 163.646728 | 163.646728 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 12 | 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 | 1 | 4 | 240 | 13 | 0.080914 | Calculate the compound interest: $100 invested at 8.091368335% annual rate for 6 years.
FINAL: | 159.494638 | 159.494638 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 14 | 0.078188 | Calculate the compound interest: $100 invested at 7.818826668% annual rate for 6 years.
FINAL: | 157.096897 | 157.096897 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 15 | 0.075739 | Calculate the compound interest: $100 invested at 7.573867% annual rate for 6 years.
FINAL: | 154.96752 | 154.96752 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 16 | 0.073938 | Calculate the compound interest: $100 invested at 7.393782217% annual rate for 6 years.
FINAL: | 153.417473 | 153.417473 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 17 | 0.07306 | Calculate the compound interest: $100 invested at 7.305988597% annual rate for 6 years.
FINAL: | 152.666504 | 152.666504 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 18 | 0.073239 | Calculate the compound interest: $100 invested at 7.323851922% annual rate for 6 years.
FINAL: | 152.819054 | 152.819054 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 19 | 0.074447 | Calculate the compound interest: $100 invested at 7.444652662% annual rate for 6 years.
FINAL: | 153.854016 | 153.854016 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 20 | 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 | 1 | 4 | 240 | 21 | 0.079086 | Calculate the compound interest: $100 invested at 7.908631665% annual rate for 6 years.
FINAL: | 157.883634 | 157.883634 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 22 | 0.081812 | Calculate the compound interest: $100 invested at 8.181173332% annual rate for 6 years.
FINAL: | 160.291364 | 160.291364 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 23 | 0.084261 | Calculate the compound interest: $100 invested at 8.426133% annual rate for 6 years.
FINAL: | 162.48146 | 162.48146 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 24 | 0.086062 | Calculate the compound interest: $100 invested at 8.606217783% annual rate for 6 years.
FINAL: | 164.10739 | 164.10739 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 25 | 0.08694 | Calculate the compound interest: $100 invested at 8.694011403% annual rate for 6 years.
FINAL: | 164.904953 | 164.904953 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 26 | 0.086761 | Calculate the compound interest: $100 invested at 8.676148078% annual rate for 6 years.
FINAL: | 164.742412 | 164.742412 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 27 | 0.085553 | Calculate the compound interest: $100 invested at 8.555347338% annual rate for 6 years.
FINAL: | 163.646728 | 163.646728 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 28 | 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 | 1 | 4 | 240 | 29 | 0.080914 | Calculate the compound interest: $100 invested at 8.091368335% annual rate for 6 years.
FINAL: | 159.494638 | 159.494638 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 30 | 0.078188 | Calculate the compound interest: $100 invested at 7.818826668% annual rate for 6 years.
FINAL: | 157.096897 | 157.096897 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 31 | 0.075739 | Calculate the compound interest: $100 invested at 7.573867% annual rate for 6 years.
FINAL: | 154.96752 | 154.96752 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 32 | 0.073938 | Calculate the compound interest: $100 invested at 7.393782217% annual rate for 6 years.
FINAL: | 153.417473 | 153.417473 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 33 | 0.07306 | Calculate the compound interest: $100 invested at 7.305988597% annual rate for 6 years.
FINAL: | 152.666504 | 152.666504 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 34 | 0.073239 | Calculate the compound interest: $100 invested at 7.323851922% annual rate for 6 years.
FINAL: | 152.819054 | 152.819054 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 35 | 0.074447 | Calculate the compound interest: $100 invested at 7.444652662% annual rate for 6 years.
FINAL: | 153.854016 | 153.854016 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 36 | 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 | 1 | 4 | 240 | 37 | 0.079086 | Calculate the compound interest: $100 invested at 7.908631665% annual rate for 6 years.
FINAL: | 157.883634 | 157.883634 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 38 | 0.081812 | Calculate the compound interest: $100 invested at 8.181173332% annual rate for 6 years.
FINAL: | 160.291364 | 160.291364 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 39 | 0.084261 | Calculate the compound interest: $100 invested at 8.426133% annual rate for 6 years.
FINAL: | 162.48146 | 162.48146 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 40 | 0.086062 | Calculate the compound interest: $100 invested at 8.606217783% annual rate for 6 years.
FINAL: | 164.10739 | 164.10739 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 41 | 0.08694 | Calculate the compound interest: $100 invested at 8.694011403% annual rate for 6 years.
FINAL: | 164.904953 | 164.904953 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 42 | 0.086761 | Calculate the compound interest: $100 invested at 8.676148078% annual rate for 6 years.
FINAL: | 164.742412 | 164.742412 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 43 | 0.085553 | Calculate the compound interest: $100 invested at 8.555347338% annual rate for 6 years.
FINAL: | 163.646728 | 163.646728 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 44 | 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 | 1 | 4 | 240 | 45 | 0.080914 | Calculate the compound interest: $100 invested at 8.091368335% annual rate for 6 years.
FINAL: | 159.494638 | 159.494638 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 46 | 0.078188 | Calculate the compound interest: $100 invested at 7.818826668% annual rate for 6 years.
FINAL: | 157.096897 | 157.096897 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 47 | 0.075739 | Calculate the compound interest: $100 invested at 7.573867% annual rate for 6 years.
FINAL: | 154.96752 | 154.96752 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 48 | 0.073938 | Calculate the compound interest: $100 invested at 7.393782217% annual rate for 6 years.
FINAL: | 153.417473 | 153.417473 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 49 | 0.07306 | Calculate the compound interest: $100 invested at 7.305988597% annual rate for 6 years.
FINAL: | 152.666504 | 152.666504 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 50 | 0.073239 | Calculate the compound interest: $100 invested at 7.323851922% annual rate for 6 years.
FINAL: | 152.819054 | 152.819054 |
exponential_interest | 0 | sinusoid | 1 | 4 | 240 | 51 | 0.074447 | Calculate the compound interest: $100 invested at 7.444652662% annual rate for 6 years.
FINAL: | 153.854016 | 153.854016 |
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