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yoshitomo-matsubara commited on
Commit
7a97bef
1 Parent(s): a176812

Fix eq info

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Files changed (2) hide show
  1. supp_info.json +1 -1
  2. true_eq/feynman-i.6.20b.pkl +2 -2
supp_info.json CHANGED
@@ -1 +1 @@
1
- {"feynman-i.34.14": {"dataset_class_key": "feynman-i.34.14", "sympy_eq_str": "x2*(3.33564095198152e-9*x1 + 1)/sqrt(1 - 1.11265005605362e-17*x1**2)", "sympy_eq_srepr": "Mul(Symbol('x2', commutative=True), Pow(Add(Integer(1), Mul(Integer(-1), Float('1.1126500560536185e-17', precision=53), Pow(Symbol('x1', commutative=True), Integer(2)))), Rational(-1, 2)), Add(Mul(Float('3.3356409519815204e-9', precision=53), Symbol('x1', commutative=True)), Integer(1)))", "dummy_vars": ["x0", "x3"], "symbols": ["$\\omega$", "$v$", "$c$", "$\\omega_0$"], "symbols_descs": ["Frequency of electromagnetic waves", "Velocity", "Speed of light", "Frequency of electromagnetic waves"], "si-derived_units": ["$rad/s$", "$m/s$", "$m/s$", "$rad/s$"], "si_units": ["$s^{-1}$", "$m \\cdot s^{-1}$", "$m \\cdot s^{-1}$", "$s^{-1}$"], "properties": ["V, F, P", "V, F", "C, F, P", "V, F, P"]}, "feynman-bonus.10": {"dataset_class_key": "feynman-bonus.10", "sympy_eq_str": "(-3.33564095198152e-9*x3 + cos(x2))/(-3.33564095198152e-9*x3*cos(x2) + 1)", "sympy_eq_srepr": "Mul(Add(Mul(Integer(-1), Float('3.3356409519815204e-9', precision=53), Symbol('x3', commutative=True)), cos(Symbol('x2', commutative=True))), Pow(Add(Mul(Integer(-1), Float('3.3356409519815204e-9', precision=53), Symbol('x3', commutative=True), cos(Symbol('x2', commutative=True))), Integer(1)), Integer(-1)))", "dummy_vars": ["x0", "x1", "x4"], "symbols": ["$\\cos\\theta_1$", "$\\theta_2$", "$v$", "$c$"], "symbols_descs": ["Value", "Angle", "Velocity", "Speed of light"], "si-derived_units": ["$1$", "$rad$", "$m/s$", "$m/s$"], "si_units": ["$1$", "$1$", "$m \\cdot s^{-1}$", "$m \\cdot s^{-1}$"], "properties": ["V, F", "V, F, NN", "V, F", "C, F, P"]}, "feynman-ii.24.17": {"dataset_class_key": "feynman-ii.24.17", "sympy_eq_str": "sqrt(1.11265005605362e-17*x0**2 - pi**2/x2**2)", "sympy_eq_srepr": "Pow(Add(Mul(Float('1.1126500560536185e-17', precision=53), Pow(Symbol('x0', commutative=True), Integer(2))), Mul(Integer(-1), Pow(pi, Integer(2)), Pow(Symbol('x2', commutative=True), Integer(-2)))), Rational(1, 2))", "dummy_vars": ["x1"], "symbols": ["$k$", "$\\omega$", "$c$", "$a$"], "symbols_descs": ["Wavenumber", "Angular velocity", "Speed of light", "Length"], "si-derived_units": ["$1/m$", "$rad/s$", "$m/s$", "$m$"], "si_units": ["$m^{-1}$", "$s^{-1}$", "$m \\cdot s^{-1}$", "$m$"], "properties": ["V, F, P", "V, F", "C, F, P", "V, F, P"]}, "feynman-bonus.4": {"dataset_class_key": "feynman-bonus.4", "sympy_eq_str": "sqrt(2)*sqrt((x1 - x3 - x4**2/(2*x0*x6**2))/x0)", "sympy_eq_srepr": "Mul(Pow(Integer(2), Rational(1, 2)), Pow(Mul(Pow(Symbol('x0', commutative=True), Integer(-1)), Add(Symbol('x1', commutative=True), Mul(Integer(-1), Symbol('x3', commutative=True)), Mul(Integer(-1), Rational(1, 2), Pow(Symbol('x0', commutative=True), Integer(-1)), Pow(Symbol('x4', commutative=True), Integer(2)), Pow(Symbol('x6', commutative=True), Integer(-2))))), Rational(1, 2)))", "dummy_vars": ["x2", "x5", "x7"], "symbols": ["$v$", "$m$", "$E$", "$U$", "$L$", "$r$"], "symbols_descs": ["Velocity", "Mass (The Earth)", "Energy", "Potential energy", "Angular momentum", "Distance"], "si-derived_units": ["$m/s$", "$kg$", "$J$", "$J$", "$N \\cdot m$", "$m$"], "si_units": ["$m \\cdot s^{-1}$", "$kg$", "$kg \\cdot m^2 \\cdot s^{-2}$", "$kg \\cdot m^2 \\cdot s^{-2}$", "$kg \\cdot m^2 \\cdot s^{-2}$", "$m$"], "properties": ["V, F, P", "V, F, P", "V, F, P", "V, F, P", "V, F", "V, F, P"]}, "feynman-ii.6.15a": {"dataset_class_key": "feynman-ii.6.15a", "sympy_eq_str": "84707476846.623*x0*x2*sqrt(x4**2 + x5**2)/(pi*x3**5)", "sympy_eq_srepr": "Mul(Float('84707476846.623001', precision=53), Pow(pi, Integer(-1)), Symbol('x0', commutative=True), Symbol('x2', commutative=True), Pow(Symbol('x3', commutative=True), Integer(-5)), Pow(Add(Pow(Symbol('x4', commutative=True), Integer(2)), Pow(Symbol('x5', commutative=True), Integer(2))), Rational(1, 2)))", "dummy_vars": ["x1"], "symbols": ["$E$", "$p$", "$\\epsilon$", "$z$", "$r$", "$x$", "$y$"], "symbols_descs": ["Electric field", "Electric dipole moment", "Vacuum permittivity", "Position", "Distance", "Position", "Position"], "si-derived_units": ["$V/m$", "$C \\cdot m$", "$F/m$", "$m$", "$m$", "$m$", "$m$"], "si_units": ["$kg \\cdot m \\cdot s^{-3} \\cdot A^{-1}$", "$m \\cdot s \\cdot A$", "$kg^{-1} \\cdot m^{-3} \\cdot s^4 \\cdot A^2$", "$m$", "$m$", "$m$", "$m$"], "properties": ["V, F", "V, F", "C, F, P", "V, F", "V, F, P", "V, F", "V, F"]}, "feynman-bonus.17": {"dataset_class_key": "feynman-bonus.17", "sympy_eq_str": "(x0**2*x2**2*x3**2*(x3*x4/x6 + 1) + x1**2)/(2*x0)", "sympy_eq_srepr": "Mul(Rational(1, 2), Pow(Symbol('x0', commutative=True), Integer(-1)), Add(Mul(Pow(Symbol('x0', commutative=True), Integer(2)), Pow(Symbol('x2', commutative=True), Integer(2)), Pow(Symbol('x3', commutative=True), Integer(2)), Add(Mul(Symbol('x3', commutative=True), Symbol('x4', commutative=True), Pow(Symbol('x6', commutative=True), Integer(-1))), Integer(1))), Pow(Symbol('x1', commutative=True), Integer(2))))", "dummy_vars": ["x5"], "symbols": ["$E$", "$m$", "$p$", "$\\omega$", "$x$", "$\\alpha$", "$y$"], "symbols_descs": ["Energy", "Mass", "Momentum", "Frequency of electromagnetic waves", "Position", "Deviation from the harmonic oscillator", "Distance"], "si-derived_units": ["$J$", "$kg$", "$kg \\cdot m/s$", "$rad/s$", "$m$", "$1$", "$m$"], "si_units": ["$kg \\cdot m^2 \\cdot s^{-2}$", "$kg$", "$kg \\cdot m \\cdot s^{-1}$", "$s^{-1}$", "$m$", "$1$", "$m$"], "properties": ["V, F", "V, F, P", "V, F", "V, F, P", "V, F", "V, F", "V, F, P"]}, "feynman-i.44.4": {"dataset_class_key": "feynman-i.44.4", "sympy_eq_str": "1.380649e-23*x0*x1*log(x3/x5)", "sympy_eq_srepr": "Mul(Float('1.3806490000000001e-23', precision=53), Symbol('x0', commutative=True), Symbol('x1', commutative=True), log(Mul(Symbol('x3', commutative=True), Pow(Symbol('x5', commutative=True), Integer(-1)))))", "dummy_vars": ["x2", "x4"], "symbols": ["$Q$", "$n$", "$k$", "$T$", "$V_2$", "$V_1$"], "symbols_descs": ["Energy", "Number of molecules", "Boltzmann constant", "Temperature", "Volume", "Volume"], "si-derived_units": ["$J$", "$1$", "$J/K$", "$K$", "$m^3$", "$m^3$"], "si_units": ["$kg \\cdot m^2 \\cdot s^{-2}$", "$1$", "$kg \\cdot m^2 \\cdot s^{-2} \\cdot K^{-1}$", "$K$", "$m^3$", "$m^3$"], "properties": ["V, F", "V, I$\\star$, P", "C, F, P", "V, F, P", "V, F, P", "V, F, P"]}, "feynman-i.50.26": {"dataset_class_key": "feynman-i.50.26", "sympy_eq_str": "x0*(x6*cos(x2*x4)**2 + cos(x2*x4))", "sympy_eq_srepr": "Mul(Symbol('x0', commutative=True), Add(Mul(Symbol('x6', commutative=True), Pow(cos(Mul(Symbol('x2', commutative=True), Symbol('x4', commutative=True))), Integer(2))), cos(Mul(Symbol('x2', commutative=True), Symbol('x4', commutative=True)))))", "dummy_vars": ["x1", "x3", "x5"], "symbols": ["$x$", "$K$", "$\\omega$", "$t$", "$\\epsilon$"], "symbols_descs": ["Amplitude", "Amplitude", "Angular velocity", "Time", "Variable"], "si-derived_units": ["$1$", "$1$", "$rad/s$", "$s$", "$1$"], "si_units": ["$1$", "$1$", "$s^{-1}$", "$s$", "$1$"], "properties": ["V, F", "V, F, P", "V, F", "V, F, NN", "V, F"]}, "feynman-iii.4.33": {"dataset_class_key": "feynman-iii.4.33", "sympy_eq_str": "3.313e-34*x1/(pi*(exp(2.39959613196403e-11*x1/(pi*x2)) - 1))", "sympy_eq_srepr": "Mul(Float('3.3129999999999999e-34', precision=53), Pow(pi, Integer(-1)), Symbol('x1', commutative=True), Pow(Add(exp(Mul(Float('2.3995961319640253e-11', precision=53), Pow(pi, Integer(-1)), Symbol('x1', commutative=True), Pow(Symbol('x2', commutative=True), Integer(-1)))), Integer(-1)), Integer(-1)))", "dummy_vars": ["x0", "x3", "x4"], "symbols": ["$E$", "$h$", "$\\omega$", "$k$", "$T$"], "symbols_descs": ["Energy", "Planck constant", "Frequency", "Boltzmann constant", "Temperature"], "si-derived_units": ["$J$", "$J \\cdot s$", "$rad/s$", "$J/K$", "$K$"], "si_units": ["$kg \\cdot m^2 \\cdot s^{-2}$", "$kg \\cdot m^2 \\cdot s^{-1}$", "$s^{-1}$", "$kg \\cdot m^2 \\cdot s^{-2} \\cdot K^{-1}$", "$K$"], "properties": ["V, F, P", "C, F, P", "V, F, P", "C, F, P", "V, F, P"]}, "feynman-ii.36.38": {"dataset_class_key": "feynman-ii.36.38", "sympy_eq_str": "7.24297051603992e+22*x0*x1/x2 + 9.10197825916707e+16*x0*x4*x6/x2", "sympy_eq_srepr": "Add(Mul(Float('7.2429705160399199e+22', precision=53), Symbol('x0', commutative=True), Symbol('x1', commutative=True), Pow(Symbol('x2', commutative=True), Integer(-1))), Mul(Float('91019782591670688.0', precision=53), Symbol('x0', commutative=True), Pow(Symbol('x2', commutative=True), Integer(-1)), Symbol('x4', commutative=True), Symbol('x6', commutative=True)))", "dummy_vars": ["x3", "x5", "x7"], "symbols": ["$x$", "$\\mu$", "$H$", "$k$", "$T$", "$\\lambda$", "$\\epsilon$", "$c$", "$M$"], "symbols_descs": ["Parameter of magnetization", "Magnetic moment", "Magnetic field strength", "Boltzmann constant", "Temperature", "Constant", "Vacuum permittivity", "Speed of light", "Number of magnetized atoms"], "si-derived_units": ["$1$", "$N/A^2$", "$A/m$", "$J/K$", "$K$", "$1$", "$F/m$", "$m/s$", "$1$"], "si_units": ["$1$", "$kg \\cdot m \\cdot s^{-2} \\cdot A^{-2}$", "$m^{-1} \\cdot A$", "$kg \\cdot m^2 \\cdot s^{-2} \\cdot K^{-1}$", "$K$", "$1$", "$kg^{-1} \\cdot m^{-3} \\cdot s^4 \\cdot A^2$", "$m \\cdot s^{-1}$", "$1$"], "properties": ["V, F", "V, F", "V, F", "C, F, P", "V, F, P", "V, F, NN", "C, F, P", "C, F, P", "V, I$\\star$, P"]}, "feynman-bonus.3": {"dataset_class_key": "feynman-bonus.3", "sympy_eq_str": "x0*(1 - x1**2)/(x1*cos(x4 - x5) + 1)", "sympy_eq_srepr": "Mul(Symbol('x0', commutative=True), Add(Integer(1), Mul(Integer(-1), Pow(Symbol('x1', commutative=True), Integer(2)))), Pow(Add(Mul(Symbol('x1', commutative=True), cos(Add(Symbol('x4', commutative=True), Mul(Integer(-1), Symbol('x5', commutative=True))))), Integer(1)), Integer(-1)))", "dummy_vars": ["x2", "x3"], "symbols": ["$r$", "$d$", "$\\alpha$", "$\\theta_1$", "$\\theta_2$"], "symbols_descs": ["Distance", "Semimajor axis of elliptical orbit", "Orbital eccentricity", "Angle", "Angle"], "si-derived_units": ["$m$", "$m$", "$1$", "$rad$", "$rad$"], "si_units": ["$m$", "$m$", "$1$", "$1$", "$1$"], "properties": ["V, F, P", "V, F, P", "V, F, P", "V, F, NN", "V, F, NN"]}, "feynman-ii.35.18": {"dataset_class_key": "feynman-ii.35.18", "sympy_eq_str": "x0/(exp(7.24297051603992e+22*x1*x4/x5) + exp(-7.24297051603992e+22*x1*x4/x5))", "sympy_eq_srepr": "Mul(Symbol('x0', commutative=True), Pow(Add(exp(Mul(Float('7.2429705160399199e+22', precision=53), Symbol('x1', commutative=True), Symbol('x4', commutative=True), Pow(Symbol('x5', commutative=True), Integer(-1)))), exp(Mul(Integer(-1), Float('7.2429705160399199e+22', precision=53), Symbol('x1', commutative=True), Symbol('x4', commutative=True), Pow(Symbol('x5', commutative=True), Integer(-1))))), Integer(-1)))", "dummy_vars": ["x2", "x3"], "symbols": ["$a$", "$N$", "$\\mu$", "$B$", "$k$", "$T$"], "symbols_descs": ["Number of atoms with the equivalent magnetic moment", "Number of atoms per unit volume", "Magnetic moment", "Magnetic flux density", "Boltzmann constant", "Temperature"], "si-derived_units": ["$1/m^3$", "$1/m^3$", "$N/A^2$", "$A/m$", "$J/K$", "$K$"], "si_units": ["$m^{-3}$", "$m^{-3}$", "$kg \\cdot m \\cdot s^{-2} \\cdot A^{-2}$", "$m^{-1} \\cdot A$", "$kg \\cdot m^2 \\cdot s^{-2} \\cdot K^{-1}$", "$K$"], "properties": ["V, I$\\star$, P", "V, I$\\star$, P", "V, F, P", "V, F, P", "C, F, P", "V, F, P"]}, "feynman-i.9.18": {"dataset_class_key": "feynman-i.9.18", "sympy_eq_str": "6.6743e-11*x1*x2/((x3 - x4)**2 + (x6 - x7)**2 + (x8 - x9)**2)", "sympy_eq_srepr": "Mul(Float('6.6742999999999994e-11', precision=53), Symbol('x1', commutative=True), Symbol('x2', commutative=True), Pow(Add(Pow(Add(Symbol('x3', commutative=True), Mul(Integer(-1), Symbol('x4', commutative=True))), Integer(2)), Pow(Add(Symbol('x6', commutative=True), Mul(Integer(-1), Symbol('x7', commutative=True))), Integer(2)), Pow(Add(Symbol('x8', commutative=True), Mul(Integer(-1), Symbol('x9', commutative=True))), Integer(2))), Integer(-1)))", "dummy_vars": ["x0", "x5"], "symbols": ["$F$", "$G$", "$m_1$", "$m_2$", "$x_2$", "$x_1$", "$y_2$", "$y_1$", "$z_2$", "$z_1$"], "symbols_descs": ["Force of gravity", "Gravitational constant", "Mass", "Mass", "Position", "Position", "Position", "Position", "Position", "Position"], "si-derived_units": ["$N$", "$m^3 \\cdot kg^{-1} \\cdot s^{-2}$", "$kg$", "$kg$", "$m$", "$m$", "$m$", "$m$", "$m$", "$m$"], "si_units": ["$kg \\cdot m \\cdot s^{-2}$", "$kg^{-1} \\cdot m^3 \\cdot s^{-2}$", "$kg$", "$kg$", "$m$", "$m$", "$m$", "$m$", "$m$", "$m$"], "properties": ["V, F, P", "C, F, P", "V, F, P", "V, F, P", "V, F", "V, F", "V, F", "V, F", "V, F", "V, F"]}, "feynman-iii.9.52": {"dataset_class_key": "feynman-iii.9.52", "sympy_eq_str": "1.2073649260489e+34*pi*x1*x2*sin(x3*(x4 - x6)/2)**2/(x3*(x4 - x6)**2)", "sympy_eq_srepr": "Mul(Float('1.2073649260488984e+34', precision=53), pi, Symbol('x1', commutative=True), Symbol('x2', commutative=True), Pow(Symbol('x3', commutative=True), Integer(-1)), Pow(Add(Symbol('x4', commutative=True), Mul(Integer(-1), Symbol('x6', commutative=True))), Integer(-2)), Pow(sin(Mul(Rational(1, 2), Symbol('x3', commutative=True), Add(Symbol('x4', commutative=True), Mul(Integer(-1), Symbol('x6', commutative=True))))), Integer(2)))", "dummy_vars": ["x0", "x5"], "symbols": ["$P_{\\text{I} \\rightarrow \\text{II}}$", "$\\mu$", "$E$", "$t$", "$h$", "$\\omega$", "$\\omega_0$"], "symbols_descs": ["Probability", "Electric dipole moment", "Magnitude of electric field", "Time", "Planck constant", "Frequency", "Resonant frequency"], "si-derived_units": ["$1$", "$C \\cdot m$", "$V/m$", "$s$", "$J \\cdot s$", "$rad/s$", "$rad/s$"], "si_units": ["$1$", "$m \\cdot s \\cdot A$", "$kg \\cdot m \\cdot s^{-3} \\cdot A^{-1}$", "$s$", "$kg \\cdot m^2 \\cdot s^{-1}$", "$s^{-1}$", "$s^{-1}$"], "properties": ["V, F, NN", "V, F", "V, F", "V, F, NN", "C, F, P", "V, F, P", "V, F, P"]}, "feynman-ii.11.17": {"dataset_class_key": "feynman-ii.11.17", "sympy_eq_str": "x0*(7.24297051603992e+22*x2*x3*cos(x4)/x5 + 1)", "sympy_eq_srepr": "Mul(Symbol('x0', commutative=True), Add(Mul(Float('7.2429705160399199e+22', precision=53), Symbol('x2', commutative=True), Symbol('x3', commutative=True), Pow(Symbol('x5', commutative=True), Integer(-1)), cos(Symbol('x4', commutative=True))), Integer(1)))", "dummy_vars": ["x1"], "symbols": ["$n$", "$n_0$", "$p_0$", "$E$", "$\\theta$", "$k$", "$T$"], "symbols_descs": ["Number of polar molecules per angle per unit volume", "Number of molecules per unit volume", "Electric dipole moment", "Magnitude of electric field", "Angle", "Boltzmann constant", "Temperature"], "si-derived_units": ["$1/(m^3 \\cdot rad \\cdot sr)$", "$1/(m^3 \\cdot sr)$", "$C \\cdot m$", "$V/m$", "$rad$", "$J/K$", "$K$"], "si_units": ["$m^{-3}$", "$m^{-3}$", "$m \\cdot s \\cdot A$", "$kg \\cdot m \\cdot s^{-3} \\cdot A^{-1}$", "$1$", "$kg \\cdot m^2 \\cdot s^{-2} \\cdot K^{-1}$", "$K$"], "properties": ["V, F", "V, F, P", "V, F", "V, F", "V, F, NN", "C, F, P", "V, F, P"]}, "feynman-i.15.3x": {"dataset_class_key": "feynman-i.15.3x", "sympy_eq_str": "(x0 - x1*x2)/sqrt(1 - 1.11265005605362e-17*x1**2)", "sympy_eq_srepr": "Mul(Pow(Add(Integer(1), Mul(Integer(-1), Float('1.1126500560536185e-17', precision=53), Pow(Symbol('x1', commutative=True), Integer(2)))), Rational(-1, 2)), Add(Symbol('x0', commutative=True), Mul(Integer(-1), Symbol('x1', commutative=True), Symbol('x2', commutative=True))))", "dummy_vars": ["x3"], "symbols": ["$x_1$", "$x$", "$u$", "$t$", "$c$"], "symbols_descs": ["Position", "Position", "Velocity", "Time", "Speed of light"], "si-derived_units": ["$m$", "$m$", "$m/s$", "$s$", "$m/s$"], "si_units": ["$m$", "$m$", "$m \\cdot s^{-1}$", "$s$", "$m \\cdot s^{-1}$"], "properties": ["V, F", "V, F", "V, F", "V, F", "C, F, P"]}, "feynman-bonus.15": {"dataset_class_key": "feynman-bonus.15", "sympy_eq_str": "x2*sqrt(1 - 1.11265005605362e-17*x1**2)/(3.33564095198152e-9*x1*cos(x3) + 1)", "sympy_eq_srepr": "Mul(Symbol('x2', commutative=True), Pow(Add(Integer(1), Mul(Integer(-1), Float('1.1126500560536185e-17', precision=53), Pow(Symbol('x1', commutative=True), Integer(2)))), Rational(1, 2)), Pow(Add(Mul(Float('3.3356409519815204e-9', precision=53), Symbol('x1', commutative=True), cos(Symbol('x3', commutative=True))), Integer(1)), Integer(-1)))", "dummy_vars": ["x0", "x4", "x5"], "symbols": ["$\\omega_0$", "$v$", "$c$", "$\\omega$", "$\\theta$"], "symbols_descs": ["Frequency of electromagnetic waves", "Velocity", "Speed of light", "Frequency of electromagnetic waves", "Angle"], "si-derived_units": ["$rad/s$", "$m/s$", "$m/s$", "$rad/s$", "$rad$"], "si_units": ["$s^{-1}$", "$m \\cdot s^{-1}$", "$m \\cdot s^{-1}$", "$s^{-1}$", "$1$"], "properties": ["V, F", "V, F, P", "C, F, P", "V, F, P", "V, F, NN"]}, "feynman-ii.13.23": {"dataset_class_key": "feynman-ii.13.23", "sympy_eq_str": "x0/sqrt(1 - 1.11265005605362e-17*x2**2)", "sympy_eq_srepr": "Mul(Symbol('x0', 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