Coefficient Learning on Feynman Symbolic Regression in-distribution
0MSEThe Neural Compiler
Evaluation results
| Method | Links | ||
|---|---|---|---|
| The Neural CompilerEquation=Gaussian N(mu, sigma), #P=22026.05 | 0 | 0.003 | |
| Hand-codedEquation=Gaussian N(mu, sigma), #P=22026.05 | 0 | 0.003 | |
| The Neural CompilerEquation=Sound sqrt(gamma P / rho), #P=22026.05 | 0 | 0.01 | |
| Hand-codedEquation=Sound sqrt(gamma P / rho), #P=22026.05 | 0 | 0.01 | |
| The Neural CompilerEquation=Barometric, #P=32026.05 | 0 | 0.058 | |
| Hand-codedEquation=Barometric, #P=32026.05 | 0 | 0.058 | |
| The Neural CompilerEquation=Planck E = hf, #P=12026.05 | 0 | 0.003 | |
| Hand-codedEquation=Planck E = hf, #P=12026.05 | 0 | 0.003 | |
| The Neural CompilerEquation=Pendulum k sqrt(L/g), #P=12026.05 | 0 | 0 | |
| Hand-codedEquation=Pendulum k sqrt(L/g), #P=12026.05 | 0 | 0 | |
| The Neural CompilerEquation=Ideal gas nRT, #P=12026.05 | 0 | 0.002 | |
| Hand-codedEquation=Ideal gas nRT, #P=12026.05 | 0 | 0.002 | |
| The Neural CompilerEquation=Gravity Gm1m2/r^2, #P=12026.05 | 0 | 0.01 | |
| Hand-codedEquation=Gravity Gm1m2/r^2, #P=12026.05 | 0 | 0.01 | |
| The Neural CompilerEquation=E-field epsilon E^2 V / 2, #P=22026.05 | 0 | 0.016 | |
| Hand-codedEquation=E-field epsilon E^2 V / 2, #P=22026.05 | 0 | 0.016 | |
| The Neural CompilerEquation=Hooke F = -kx, #P=12026.05 | 0 | 0.013 | |
| Hand-codedEquation=Hooke F = -kx, #P=12026.05 | 0 | 0.013 | |
| The Neural CompilerEquation=Rel. energy, #P=22026.05 | 0 | 0.003 | |
| Hand-codedEquation=Rel. energy, #P=22026.05 | 0 | 0.003 | |
| The Neural CompilerEquation=Heat mc delta T, #P=12026.05 | 0 | 0.008 | |
| Hand-codedEquation=Heat mc delta T, #P=12026.05 | 0 | 0.008 | |
| The Neural CompilerEquation=Kinetic 1/2 mv^2, #P=12026.05 | 0 | 0.072 | |
| Hand-codedEquation=Kinetic 1/2 mv^2, #P=12026.05 | 0 | 0.072 | |
| The Neural CompilerEquation=Coulomb ke q1 q2 / r^2, #P=12026.05 | 0 | 0.804 | |
| Hand-codedEquation=Coulomb ke q1 q2 / r^2, #P=12026.05 | 0 | 0.804 | |
| MLPEquation=Coulomb ke q1 q2 / r^2, Parameters=12,673–12,8652026.05 | 0.0001 | — | |
| MLPEquation=Gaussian N(mu, sigma), Parameters=12,673–12,8652026.05 | 0.0004 | — | |
| MLPEquation=Hooke F = -kx, Parameters=12,673–12,8652026.05 | 0.001 | — | |
| MLPEquation=Rel. energy, Parameters=12,673–12,8652026.05 | 0.0011 | — | |
| MLPEquation=Sound sqrt(gamma P / rho), Parameters=12,673–12,8652026.05 | 0.0011 | — | |
| MLPEquation=Heat mc delta T, Parameters=12,673–12,8652026.05 | 0.0012 | — | |
| MLPEquation=E-field epsilon E^2 V / 2, Parameters=12,673–12,8652026.05 | 0.0012 | — | |
| MLPEquation=Ideal gas nRT, Parameters=12,673–12,8652026.05 | 0.0014 | — | |
| MLPEquation=Planck E = hf, Parameters=12,673–12,8652026.05 | 0.0016 | — | |
| MLPEquation=Pendulum k sqrt(L/g), Parameters=12,673–12,8652026.05 | 0.0016 | — | |
| MLPEquation=Barometric, Parameters=12,673–12,8652026.05 | 0.0049 | — | |
| MLPEquation=Kinetic 1/2 mv^2, Parameters=12,673–12,8652026.05 | 0.0052 | — | |
| The Neural CompilerEquation=Lorentz, #P=12026.05 | 0.0075 | 19.8 | |
| Hand-codedEquation=Lorentz, #P=12026.05 | 0.0075 | 19.8 | |
| MLPEquation=Lorentz, Parameters=12,673–12,8652026.05 | 0.0085 | — | |
| MLPEquation=Gravity Gm1m2/r^2, Parameters=12,673–12,8652026.05 | 0.036 | — | |
| MLPEquation=Oscillator, Parameters=12,673–12,8652026.05 | 0.39 | — | |
| The Neural CompilerEquation=Oscillator, #P=32026.05 | 0.5 | 95 | |
| Hand-codedEquation=Oscillator, #P=32026.05 | 0.5 | 95 |