Package evaluation to test StructuralIdentifiability on Julia 1.14.0-DEV.2468 (92be8bc088*) started at 2026-07-02T16:25:51.807 ################################################################################ # Set-up # Installing PkgEval dependencies (TestEnv)... Activating project at `~/.julia/environments/v1.14` Set-up completed after 14.45s ################################################################################ # Installation # Installing StructuralIdentifiability... Resolving package versions... Updating `~/.julia/environments/v1.14/Project.toml` [220ca800] + StructuralIdentifiability v0.5.23 Updating `~/.julia/environments/v1.14/Manifest.toml` ⌅ [c3fe647b] + AbstractAlgebra v0.48.6 [a9b6321e] + Atomix v1.1.3 [861a8166] + Combinatorics v1.1.0 [864edb3b] + DataStructures v0.19.5 [e2ba6199] + ExprTools v0.1.10 [0b43b601] + Groebner v0.10.3 [18e54dd8] + IntegerMathUtils v0.1.3 [c8e1da08] + IterTools v1.10.0 [692b3bcd] + JLLWrappers v1.8.0 [1914dd2f] + MacroTools v0.5.16 ⌅ [2edaba10] + Nemo v0.54.2 ⌅ [bac558e1] + OrderedCollections v1.8.2 [3e851597] + ParamPunPam v0.5.7 [aea7be01] + PrecompileTools v1.3.4 [21216c6a] + Preferences v1.5.2 [27ebfcd6] + Primes v0.5.7 [92933f4c] + ProgressMeter v1.11.0 [fb686558] + RandomExtensions v0.4.4 [73480bc8] + RationalFunctionFields v0.3.1 [220ca800] + StructuralIdentifiability v0.5.23 [a759f4b9] + TimerOutputs v0.5.29 [013be700] + UnsafeAtomics v0.3.1 ⌅ [e134572f] + FLINT_jll v301.400.1+0 [656ef2d0] + OpenBLAS32_jll v0.3.33+1 [56f22d72] + Artifacts v1.11.0 [ade2ca70] + Dates v1.11.0 [8ba89e20] + Distributed v1.11.0 [8f399da3] + Libdl v1.11.0 [37e2e46d] + LinearAlgebra v1.14.0 [56ddb016] + Logging v1.11.0 [de0858da] + Printf v1.11.0 [9a3f8284] + Random v1.11.0 [ea8e919c] + SHA v1.13.0 [9e88b42a] + Serialization v1.11.0 [6462fe0b] + Sockets v1.11.0 [2f01184e] + SparseArrays v1.13.0 [fa267f1f] + TOML v1.0.3 [4ec0a83e] + Unicode v1.11.0 [e66e0078] + CompilerSupportLibraries_jll v1.5.5+2 [781609d7] + GMP_jll v6.3.0+2 [3a97d323] + MPFR_jll v4.2.2+0 [4536629a] + OpenBLAS_jll v0.3.33+0 [bea87d4a] + SuiteSparse_jll v7.10.1+0 [8e850b90] + libblastrampoline_jll v5.15.0+0 Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m` Installation completed after 5.63s ################################################################################ # Precompilation # Precompiling PkgEval dependencies... Precompiling package dependencies... Precompiling project... 2.1 s ✓ FLINT_jll 2.8 s ✓ CPUSummary 9.3 s ✓ SciMLTesting 34.9 s ✓ Nemo 135.1 s ✓ Groebner 14.1 s ✓ ParamPunPam 13.7 s ✓ RationalFunctionFields 14.3 s ✓ StructuralIdentifiability 8 dependencies successfully precompiled in 227 seconds. 72 already precompiled. Precompilation completed after 253.38s ################################################################################ # Testing # Testing StructuralIdentifiability Status `/tmp/jl_FEOY5Y/Project.toml` ⌅ [c3fe647b] AbstractAlgebra v0.48.6 [4c88cf16] Aqua v0.8.16 [2a0fbf3d] CPUSummary v0.2.7 [861a8166] Combinatorics v1.1.0 [864edb3b] DataStructures v0.19.5 [0b43b601] Groebner v0.10.3 [c8e1da08] IterTools v1.10.0 [1914dd2f] MacroTools v0.5.16 ⌅ [2edaba10] Nemo v0.54.2 [3e851597] ParamPunPam v0.5.7 [aea7be01] PrecompileTools v1.3.4 [27ebfcd6] Primes v0.5.7 [73480bc8] RationalFunctionFields v0.3.1 [1bc83da4] SafeTestsets v0.1.0 [09d9d899] SciMLTesting v1.7.0 [276daf66] SpecialFunctions v2.8.0 [220ca800] StructuralIdentifiability v0.5.23 [98d24dd4] TestSetExtensions v4.0.3 [a759f4b9] TimerOutputs v0.5.29 [ade2ca70] Dates v1.11.0 [37e2e46d] LinearAlgebra v1.14.0 [56ddb016] Logging v1.11.0 [9a3f8284] Random v1.11.0 [8dfed614] Test v1.11.0 Status `/tmp/jl_FEOY5Y/Manifest.toml` ⌅ [c3fe647b] AbstractAlgebra v0.48.6 [4c88cf16] Aqua v0.8.16 [a9b6321e] Atomix v1.1.3 [2a0fbf3d] CPUSummary v0.2.7 [861a8166] Combinatorics v1.1.0 [f70d9fcc] CommonWorldInvalidations v1.1.0 [34da2185] Compat v4.18.1 [adafc99b] CpuId v0.3.1 [864edb3b] DataStructures v0.19.5 [ab62b9b5] DeepDiffs v1.2.0 [ffbed154] DocStringExtensions v0.9.5 [7d51a73a] ExplicitImports v1.15.0 [e2ba6199] ExprTools v0.1.10 [0b43b601] Groebner v0.10.3 [615f187c] IfElse v0.1.1 [18e54dd8] IntegerMathUtils v0.1.3 [92d709cd] IrrationalConstants v0.2.6 [c8e1da08] IterTools v1.10.0 [692b3bcd] JLLWrappers v1.8.0 [2ab3a3ac] LogExpFunctions v1.0.1 [1914dd2f] MacroTools v0.5.16 ⌅ [2edaba10] Nemo v0.54.2 ⌅ [bac558e1] OrderedCollections v1.8.2 [3e851597] ParamPunPam v0.5.7 [aea7be01] PrecompileTools v1.3.4 [21216c6a] Preferences v1.5.2 [27ebfcd6] Primes v0.5.7 [92933f4c] ProgressMeter v1.11.0 [fb686558] RandomExtensions v0.4.4 [73480bc8] RationalFunctionFields v0.3.1 [1bc83da4] SafeTestsets v0.1.0 [431bcebd] SciMLPublic v1.2.1 [09d9d899] SciMLTesting v1.7.0 [276daf66] SpecialFunctions v2.8.0 [aedffcd0] Static v1.4.2 [220ca800] StructuralIdentifiability v0.5.23 [98d24dd4] TestSetExtensions v4.0.3 [a759f4b9] TimerOutputs v0.5.29 [013be700] UnsafeAtomics v0.3.1 ⌅ [e134572f] FLINT_jll v301.400.1+0 [656ef2d0] OpenBLAS32_jll v0.3.33+1 [efe28fd5] OpenSpecFun_jll v0.5.6+0 [0dad84c5] ArgTools v1.2.0 [56f22d72] Artifacts v1.11.0 [2a0f44e3] Base64 v1.11.0 [ade2ca70] Dates v1.11.0 [8ba89e20] Distributed v1.11.0 [f43a241f] Downloads v1.7.0 [7b1f6079] FileWatching v1.11.0 [b77e0a4c] InteractiveUtils v1.11.0 [ac6e5ff7] JuliaSyntaxHighlighting v1.13.0 [b27032c2] LibCURL v1.0.0 [76f85450] LibGit2 v1.11.0 [8f399da3] Libdl v1.11.0 [37e2e46d] LinearAlgebra v1.14.0 [56ddb016] Logging v1.11.0 [d6f4376e] Markdown v1.11.0 [ca575930] NetworkOptions v1.3.0 [44cfe95a] Pkg v1.14.0 [de0858da] Printf v1.11.0 [9a3f8284] Random v1.11.0 [ea8e919c] SHA v1.13.0 [9e88b42a] Serialization v1.11.0 [6462fe0b] Sockets v1.11.0 [2f01184e] SparseArrays v1.13.0 [f489334b] StyledStrings v1.13.0 [fa267f1f] TOML v1.0.3 [a4e569a6] Tar v1.10.0 [8dfed614] Test v1.11.0 [cf7118a7] UUIDs v1.11.0 [4ec0a83e] Unicode v1.11.0 [e66e0078] CompilerSupportLibraries_jll v1.5.5+2 [781609d7] GMP_jll v6.3.0+2 [deac9b47] LibCURL_jll v8.20.0+1 [e37daf67] LibGit2_jll v1.9.4+0 [29816b5a] LibSSH2_jll v1.11.101+0 [3a97d323] MPFR_jll v4.2.2+0 [14a3606d] MozillaCACerts_jll v2026.5.14 [4536629a] OpenBLAS_jll v0.3.33+0 [05823500] OpenLibm_jll v0.8.7+0 [458c3c95] OpenSSL_jll v3.5.7+0 [efcefdf7] PCRE2_jll v10.47.0+0 [bea87d4a] SuiteSparse_jll v7.10.1+0 [83775a58] Zlib_jll v1.3.2+0 [3161d3a3] Zstd_jll v1.5.7+1 [8e850b90] libblastrampoline_jll v5.15.0+0 [8e850ede] nghttp2_jll v1.69.0+0 [3f19e933] p7zip_jll v17.8.0+0 Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. Testing Running tests... [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: a, b, c, d [ Info: Inputs: [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: S, I, W, R [ Info: Parameters: a, bi, bw, gam, k, mu, xi [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: S, I, W, R [ Info: Parameters: a, bi, bw, gam, k, mu, xi [ Info: Inputs: [ Info: Outputs: y, y2 [ Info: Summary of the model: [ Info: State variables: x0, x1, x2, x3 [ Info: Parameters: a1, a2, b1, b2, ka, kc, n [ Info: Inputs: [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: S, E, A, I, J, C, Ninv [ Info: Parameters: alpha, b, g1, g2, k, q, r [ Info: Inputs: [ Info: Outputs: y, y2 [ Info: Summary of the model: [ Info: State variables: KS00, KS01, KS10, FS01, FS10, FS11, K, F, S00, S01, S10, S11 [ Info: Parameters: a00, a01, a10, alpha01, alpha10, alpha11, b00, b01, b10, beta01, beta10, beta11, c0001, c0010, c0011, c0111, c1011, gamma0100, gamma1000, gamma1100, gamma1101, gamma1110 [ Info: Inputs: [ Info: Outputs: y1, y2, y3, y4, y5 [ Info: Summary of the model: [ Info: State variables: KS00, KS01, KS10, FS01, FS10, FS11, K, F, S00, S01, S10, S11 [ Info: Parameters: a00, a01, a10, alpha01, alpha10, alpha11, b00, b01, b10, beta01, beta10, beta11, c0001, c0010, c0011, c0111, c1011, gamma0100, gamma1000, gamma1100, gamma1101, gamma1110 [ Info: Inputs: [ Info: Outputs: y0, y1, y2, y3, y4 [ Info: Summary of the model: [ Info: State variables: KS00, KS01, KS10, FS01, FS10, FS11, K, F, S00, S01, S10, S11 [ Info: Parameters: a00, a01, a10, alpha01, alpha10, alpha11, b00, b01, b10, beta01, beta10, beta11, c0001, c0010, c0011, c0111, c1011, gamma0100, gamma1000, gamma1100, gamma1101, gamma1110 [ Info: Inputs: [ Info: Outputs: y0, y1, y2, y3, y4, y5 [ Info: Summary of the model: [ Info: State variables: x1, x2, x3, x4 [ Info: Parameters: alpha, b, beta, c, delta, gama, sigma [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x, y, v, w, z [ Info: Parameters: a, b, beta, c, d, h, k, lm, q, u [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: s, i, r, x1, x2 [ Info: Parameters: M, b0, b1, g, mu, nu [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: x1, x2, x3, x4, x5, x6 [ Info: Parameters: k1, k2, k3, k4, k5, k6 [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: x, y, z, w [ Info: Parameters: a, b, c, d, e, f [ Info: Inputs: [ Info: Outputs: g [ Info: Summary of the model: [ Info: State variables: S, L, In, Q [ Info: Parameters: Ninv, a, b, e, g, s [ Info: Inputs: u [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: S, R, W [ Info: Parameters: Dd, T, a, d, dr, e, g, r, rR [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: P0, P1, P2, P3, P4, P5 [ Info: Parameters: Ks, M, Mar, alpa, beta, beta_SA, beta_SI, phi, siga1, siga2 [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: EGFR, pEGFR, pEGFR_Akt, Akt, pAkt, S6, pAkt_S6, pS6, EGF_EGFR [ Info: Parameters: EGFR_turnover, a1, a2, a3, reaction_1_k1, reaction_1_k2, reaction_2_k1, reaction_2_k2, reaction_3_k1, reaction_4_k1, reaction_5_k1, reaction_5_k2, reaction_6_k1, reaction_7_k1, reaction_8_k1, reaction_9_k1 [ Info: Inputs: pro_EGFR [ Info: Outputs: y1, y2, y3 [ Info: Summary of the model: [ Info: State variables: x1, x2, x3 [ Info: Parameters: p1, p2, p3, p4 [ Info: Inputs: u [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: x1, x2, x3, x4 [ Info: Parameters: k01, k12, k13, k14, k21, k31, k41 [ Info: Inputs: u [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: x1, x2, x3, x4 [ Info: Parameters: b, c, d, k1, k2, q1, q2, s, w1, w2 [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: x4, x5, x6, x7 [ Info: Parameters: k10, k5, k6, k7, k8, k9 [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: S, In, Tr, N [ Info: Parameters: a, b, d, g, nu [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: S, E, I, R, Q [ Info: Parameters: beta, gamma, psi, v [ Info: Inputs: [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: x1, x2, x3, x4, x5, x6, x7, x8, x9, x10 [ Info: Parameters: t1, t10, t11, t12, t13, t14, t15, t16, t17, t18, t19, t2, t20, t21, t22, t3, t4, t5, t6, t7, t8, t9 [ Info: Inputs: u [ Info: Outputs: y1, y2, y3, y4, y5, y6, y7, y8 [ Info: Summary of the model: [ Info: State variables: A, S, I, R [ Info: Parameters: K, c, gamma, mu, phi [ Info: Inputs: u1 [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: S, I, R, C, D [ Info: Parameters: N, beta, mu, pp, q, r [ Info: Inputs: [ Info: Outputs: y1, y2, y3 [ Info: Summary of the model: [ Info: State variables: S, I, J, R, U [ Info: Parameters: alpha, beta, eta, xi [ Info: Inputs: [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: S, I [ Info: Parameters: K, N, beta, gamma [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: A, S, E, I [ Info: Parameters: K, N, beta, epsilon, gamma, mu, r [ Info: Inputs: [ Info: Outputs: y1, y2, y3 [ Info: Summary of the model: [ Info: State variables: S, E, I, De, Di, F [ Info: Parameters: N, beta, beta_d, gamma, gamma_d, mu_0, mu_d, mu_i, nu, phi, phi_e, s, s_d [ Info: Inputs: q [ Info: Outputs: y1, y2, y5, y3, y4, y6 [ Info: Summary of the model: [ Info: State variables: x, y, z, w, v [ Info: Parameters: b1, b2, b3, b4, b5, d1, k2, k3, k4, k5, m1, m3, m4, mu2, mu3, mu4, mu5, r1, r2, r3, r4 [ Info: Inputs: [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: T, L, N, C, I, M [ Info: Parameters: KC, KL, KN, KT, a, alpha1, alpha2, b, beta, c1, f, g, gI, gamma, gt, h, m, muI, p, pI, pt, q, r2, ucte, w [ Info: Inputs: u1, D, u2 [ Info: Outputs: y1, y2, y3 [ Info: Summary of the model: [ Info: State variables: S, E, In, Cu [ Info: Parameters: N, a, b, nu [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: S, E, I [ Info: Parameters: N, alpha, beta, lambda [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: S, E, U, I [ Info: Parameters: N, beta, d, w, z [ Info: Inputs: [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: beta, cry, zea, beta10, OHbeta10, betaio, OHbetaio [ Info: Parameters: kOHbeta10, kbeta, kbeta10, kcryOH, kcrybeta, kzea [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: mRNA, GFP, enz, mRNAenz [ Info: Parameters: b, d1, d2, d3, kTL [ Info: Inputs: [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: x1, x2, x3, x4 [ Info: Parameters: p1, p10, p11, p12, p13, p14, p15, p16, p17, p18, p20, p21, p22, p23, p24, p25, p3, p4, p5, p6, p7, p8, p9 [ Info: Inputs: u1 [ Info: Outputs: y1, y2, y3, y4 [ Info: Summary of the model: [ Info: State variables: N, E, S, M, P [ Info: Parameters: delta_EL, delta_LM, delta_NE, mu_EE, mu_LE, mu_LL, mu_M, mu_N, mu_P, mu_PE, mu_PL, rho_E, rho_P [ Info: Inputs: [ Info: Outputs: y1, y2, y3 [ Info: Summary of the model: [ Info: State variables: x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20 [ Info: Parameters: km, p1, p10, p11, p12, p13, p14, p15, p16, p17, p18, p19, p2, p20, p3, p4, p5, p6, p7, p8, p9, vm [ Info: Inputs: u [ Info: Outputs: y1, y2, y3, y4, y5, y6, y7, y8, y9, y10, y11, y12, y13, y14, y15, y16, y17, y18, y19, y20 [ Info: Summary of the model: [ Info: State variables: Ca, Cb, T, Tj, Arr [ Info: Parameters: Ca0, DH, E, R, Ta, Th, UA, V, Vh, cp, cph, k0, ro, roh [ Info: Inputs: u1, u2 [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: q1, q3, q35, q36, q7 [ Info: Parameters: R, S, V3, V36, k3, k4, k5, k6, k7 [ Info: Inputs: u [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: C, L, B, P, I [ Info: Parameters: ai, alpha, ap, beta, ks, rhob, rhoc, rhoi, rhol, rhop, taob, taoc, taoi, taop [ Info: Inputs: [ Info: Outputs: y1, y2, y3 [ Info: Summary of the model: [ Info: State variables: x1, x2, x3, x4, x5 [ Info: Parameters: k2, k3, k4 [ Info: Inputs: [ Info: Outputs: y1, y2, y3 [ Info: Summary of the model: [ Info: State variables: pi1, pi2, pi3 [ Info: Parameters: A11, A12, A13, A21, A22, A23, A31, A32, A33, B11, B21, B31, g1, g2, g3 [ Info: Inputs: u1 [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: pi1, pi2, pi3 [ Info: Parameters: A11, A12, A13, A21, A22, A23, A31, A32, A33, B11, B21, B31, g1, g2, g3 [ Info: Inputs: u1 [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: beta11, beta12, beta21, beta22, r1, r2 [ Info: Inputs: [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: x1, x2, x3 [ Info: Parameters: T0, k, k1, k2, k3, k4, r1, r3 [ Info: Inputs: [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: Sd, Sn, Ad, An, I [ Info: Parameters: ba, bi, delta, ea, es, f, gai, gir, h1, h2 [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: S, I, A, Q, J, R [ Info: Parameters: b, d1, d2, d3, d4, d5, d6, ea, ej, eq, g1, g2, k1, k2, l, m1, m2 [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: S, E, I [ Info: Parameters: K, L, N, b, e, g, m, r [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: Y2, Y1, Y3, Y4, Z0, Y0, Z1, Z2, Z3, w1, w2, I1, I4 [ Info: Parameters: D0, D1, D2, D3, D4, E0, E1, E2, E3, E4, J1, J2, J3, Tau, f1, m1, m2, m3, n, n1, n2, n3 [ Info: Inputs: [ Info: Outputs: O1, O2, O3, O4, O6, O7, O8, O9, O10 [ Info: Summary of the model: [ Info: State variables: U, I, V, T [ Info: Parameters: beta, c, d_I, k_T, p, r, s_T [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: U, I, V, T [ Info: Parameters: beta, c, c_T, d_I, k_T, p, r, s_T [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: U, I, V, T [ Info: Parameters: beta, c, d_I, d_T, k_T, p, r, s_T [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: U, I, V, T [ Info: Parameters: beta, c, c_T, d_I, d_T, k_T, p, r, s_T [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: U, I, V, T [ Info: Parameters: beta, c, d_I, p, r, s_T [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: U, I, V, T [ Info: Parameters: beta, c, c_T, d_I, p, r, s_T [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: U, I, V, T [ Info: Parameters: beta, c, d_I, d_T, p, r, s_T [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: U, I, V, T [ Info: Parameters: beta, c, c_T, d_I, d_T, p, r, s_T [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: A, I, H, R, D, E [ Info: Parameters: N, a, c1, c2, d, h, r1, r2, r3, s [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: C, T, I, X, Y [ Info: Parameters: k1, k2, ka, kb, kc, kd, ke, kf, kg, kh, ki_inv, kj, kk, kl_inv, km [ Info: Inputs: u [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15 [ Info: Parameters: a1, a2, a3, c1, c1a, c1c, c2, c2a, c2c, c3, c3a, c3c, c4, c4a, c5, c5a, c6a, e1a, e2a, i1, i1a, k1, k2, k3, k_deg, k_prod, kv, t1, t2 [ Info: Inputs: u [ Info: Outputs: y1, y2, y3, y4, y5, y6 Test Summary: | Total Time Core/benchmarks_valid.jl | 0 49.0s Test Summary: | Pass Total Time Core/check_primality_zerodim.jl | 5 5 2m57.9s [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: a [ Info: Inputs: [ Info: Outputs: y ┌ Warning: New variable c, treating as a scalar parameter └ @ StructuralIdentifiability ~/.julia/packages/StructuralIdentifiability/mw5Vw/src/pb_representation.jl:94 [ Info: Summary of the model: [ Info: State variables: x1, x2, x3 [ Info: Parameters: a [ Info: Inputs: u [ Info: Outputs: y1, y2 Test Summary: | Pass Total Time Core/common_ring.jl | 2 2 40.5s Test Summary: | Pass Total Time Core/decompose_derivative.jl | 5 5 1.1s Test Summary: | Pass Total Time Core/det_minor_expansion.jl | 50 50 3.9s [ Info: Summary of the model: [ Info: State variables: a [ Info: Parameters: b [ Info: Inputs: c [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: a, b [ Info: Parameters: k1, k2 [ Info: Inputs: c [ Info: Outputs: y Test Summary: | Pass Total Time Core/diff_sequence_solution.jl | 2 2 14.3s [ Info: Summary of the model: [ Info: State variables: x [ Info: Parameters: a [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x [ Info: Parameters: a [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: x, y [ Info: Parameters: a, b [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: x, y [ Info: Parameters: a, b [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: x, y [ Info: Parameters: a, b [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: x, y [ Info: Parameters: a, b [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: x [ Info: Parameters: a [ Info: Inputs: u [ Info: Outputs: y 1.923887 seconds (814.75 k allocations: 47.255 MiB, 99.67% compilation time) 0.001957 seconds (7.37 k allocations: 328.414 KiB) 0.001816 seconds (10.71 k allocations: 481.281 KiB) 0.001570 seconds (10.51 k allocations: 471.156 KiB) 0.002128 seconds (14.42 k allocations: 630.328 KiB) 0.001229 seconds (7.87 k allocations: 357.555 KiB) 0.000787 seconds (7.43 k allocations: 299.359 KiB) 14.461052 seconds (5.16 M allocations: 312.896 MiB, 1.19% gc time, 99.86% compilation time) Test Summary: | Pass Total Time Core/differentiate_output.jl | 58 58 45.9s [ Info: Summary of the model: [ Info: State variables: x [ Info: Parameters: a [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: [ Info: Inputs: u [ Info: Outputs: y 0.310492 seconds (82.22 k allocations: 5.306 MiB, 98.79% compilation time) [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: [ Info: Inputs: u [ Info: Outputs: y 0.012426 seconds (8.04 k allocations: 452.508 KiB, 91.67% compilation time) Test Summary: | Pass Total Time Core/diffreduction.jl | 6 6 29.5s Test Summary: | Pass Total Time Core/exp_vec_trie.jl | 800 800 3.1s [ Info: Summary of the model: [ Info: State variables: x [ Info: Parameters: a, b [ Info: Inputs: u [ Info: Outputs: y Test Summary: | Pass Total Time Core/exports.jl | 6 6 6.5s Test Summary: | Pass Total Time Core/extract_coefficients.jl | 9 9 4.4s [ Info: Summary of the model: [ Info: State variables: x1, x2, x3 [ Info: Parameters: a [ Info: Inputs: u [ Info: Outputs: y1, y2 IOEQS: Dict{Nemo.QQMPolyRingElem, Nemo.QQMPolyRingElem}(y2(t)_1 => -a*y2(t)_0 + a*u(t)_0 + y2(t)_1 - u(t)_1, y1(t)_2 => -y1(t)_0 + y1(t)_2) Test Summary: | Pass Total Time Core/find_leader.jl | 5 5 2.1s [ Info: Summary of the model: [ Info: State variables: x0, x1 [ Info: Parameters: a01, a12, a21 [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x0, x1 [ Info: Parameters: a, b, c, d [ Info: Inputs: u [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: S, I, W, R [ Info: Parameters: a, bi, bw, gam, k, mu, xi [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2, x3, x4 [ Info: Parameters: alpha, b, beta, c, delta, gama, sigma [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: b [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: a1, a2, a21 [ Info: Inputs: [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: a1, a2, a21 [ Info: Inputs: u [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: x1, x2, x3 [ Info: Parameters: a01, a12, a13, a21, a31 [ Info: Inputs: u [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: S, E, In [ Info: Parameters: N, a, b, nu [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.00317481 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 1.887324228 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 0.06210986 seconds [ Info: Global identifiability assessed in 55.389324539 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Functions to check involve states [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002271859 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Global identifiability assessed in 1.290917319 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Global identifiability assessed in 5.161e-5 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Functions to check involve states [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.035828916 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.469805111 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 3.201e-5 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:15 ✓ # Computing specializations.. Time: 0:00:17 [ Info: Search for polynomial generators concluded in 17.445842487 [ Info: Selecting generators in 0.012293735 [ Info: Inclusion checked with probability 0.9955 in 0.059734561 seconds [ Info: Global identifiability assessed in 111.267236976 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Computing IO-equations [ Info: Computed IO-equations in 1.597638383 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 1.667756937 seconds [ Info: Dimensions of the Wronskians [676] [ Info: Ranks of the Wronskians computed in 0.1154965 seconds [ Info: Global identifiability assessed in 33.430883581 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.013491928 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.028861499 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000300597 seconds [ Info: Global identifiability assessed in 0.071070148 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Note: the input model has nontrivial submodels. If the computation for the full model will be too heavy, you may want to try to first analyze one of the submodels. They can be produced using function `find_submodels` [ Info: Functions to check involve states [ Info: Computing IO-equations [ Info: Computed IO-equations in 7.514941277 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00330916 seconds [ Info: Dimensions of the Wronskians [2, 3, 2] [ Info: Ranks of the Wronskians computed in 5.2079e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.961117805 [ Info: Selecting generators in 0.000393476 [ Info: Inclusion checked with probability 0.9955 in 0.003870005 seconds [ Info: Global identifiability assessed in 11.010220625 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002579967 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002147501 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.6539e-5 seconds [ Info: Global identifiability assessed in 0.008212616 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003013173 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001940723 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.316e-5 seconds [ Info: Global identifiability assessed in 0.008722761 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Functions to check involve states [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.005489861 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003845085 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.803e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.215858083 [ Info: Selecting generators in 0.016433822 [ Info: Inclusion checked with probability 0.9955 in 0.006084895 seconds [ Info: Global identifiability assessed in 2.502229299 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Functions to check involve states [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.010128208 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004252761 seconds [ Info: Dimensions of the Wronskians [2, 5] [ Info: Ranks of the Wronskians computed in 2.874e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.007923758 [ Info: Selecting generators in 0.004186412 [ Info: Inclusion checked with probability 0.9955 in 0.004800827 seconds [ Info: Global identifiability assessed in 0.057348572 seconds Test Summary: | Pass Total Time Core/identifiability.jl | 11 11 4m45.3s [ Info: Summary of the model: [ Info: State variables: x [ Info: Parameters: a [ Info: Inputs: u [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: a [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: a [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: Θ [ Info: Inputs: u [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x [ Info: Parameters: V_m, c, k01, k_m [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x [ Info: Parameters: a, b, c [ Info: Inputs: u [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x0, x1 [ Info: Parameters: a01, a12, a21 [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: k1, k2, k3, k4 [ Info: Inputs: u [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2, x3 [ Info: Parameters: β1, β2, β3, λ1, λ2, λ3 [ Info: Inputs: u1, u2, u3 [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2, x3 [ Info: Parameters: a1, a2, b1, b2 [ Info: Inputs: u [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2, x3 [ Info: Parameters: a1, a2, b1, b2 [ Info: Inputs: u [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: p1, p2, p3, p4 [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2, x3, x4 [ Info: Parameters: alpha, b, beta, c, delta, gama, sigma [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: s, i, r, x1, x2 [ Info: Parameters: M, b0, b1, g, mu, nu [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: S, E, I, R, Q [ Info: Parameters: beta, gamma, psi, v [ Info: Inputs: [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: x1, x2, x3, x4 [ Info: Parameters: k01, k12, k13, k14, k21, k31, k41 [ Info: Inputs: u [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: x5, x7, x4, x6 [ Info: Parameters: k10, k5, k6, k7, k8, k9 [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: S, In, L, Q [ Info: Parameters: Ninv, a, b, e, g, s [ Info: Inputs: u [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: S, R, W [ Info: Parameters: Dd, T, a, d, dr, e, g, r, rR [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: P3, P0, P5, P4, P1, P2 [ Info: Parameters: Ks, M, Mar, alpa, beta, beta_SA, beta_SI, phi, siga1, siga2 [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x [ Info: Parameters: [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x [ Info: Parameters: a [ Info: Inputs: u [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: a, b, c, d [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: a, b, c, d [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2, x3 [ Info: Parameters: β1, β2, β3, λ1, λ2, λ3 [ Info: Inputs: u1, u2, u3 [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: Θ [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2, x3 [ Info: Parameters: C, α [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: α [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x [ Info: Parameters: a, b, c [ Info: Inputs: u [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2, x3 [ Info: Parameters: p1, p2, p3, p4 [ Info: Inputs: u [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: EGFR, pEGFR, pEGFR_Akt, Akt, pAkt, S6, pAkt_S6, pS6, EGF_EGFR [ Info: Parameters: EGFR_turnover, a1, a2, a3, reaction_1_k1, reaction_1_k2, reaction_2_k1, reaction_2_k2, reaction_3_k1, reaction_4_k1, reaction_5_k1, reaction_5_k2, reaction_6_k1, reaction_7_k1, reaction_8_k1, reaction_9_k1 [ Info: Inputs: pro_EGFR [ Info: Outputs: y1, y2, y3 [ Info: Summary of the model: [ Info: State variables: beta, cry, zea, beta10, OHbeta10, betaio, OHbetaio [ Info: Parameters: kOHbeta10, kbeta, kbeta10, kcryOH, kcrybeta, kzea [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: x1, x2, x3, x4 [ Info: Parameters: EpoR_A, k1, k2, k3, k5, k6, k7 [ Info: Inputs: [ Info: Outputs: y1, y2, y3 [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: S, E, U, I [ Info: Parameters: N, a, b, d, g [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x [ Info: Parameters: alpha [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: k01, k02, k12, k21, v [ Info: Inputs: u [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: K_M, V_M, b1, c, k02, k12, k21 [ Info: Inputs: u [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2, x3 [ Info: Parameters: k02, k03, k12, k13, k21, k31, v [ Info: Inputs: u [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2, x3, x4 [ Info: Parameters: a03, a04, a13, a24, a31, a42, a43 [ Info: Inputs: u [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: S, I [ Info: Parameters: N, beta, k, mu, nu [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: p1, p2, p3, p4, p5 [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2, x3, x4 [ Info: Parameters: beta, c, d, k1, k2, mu1, mu2, q1, q2, s [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: A, I, H, R, D, E [ Info: Parameters: N, a, c1, c2, d, h, r1, r2, r3, s [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: Km, Vm, a1, a2, b1, c, k02, k12, k21 [ Info: Inputs: u [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: T, Tast, V [ Info: Parameters: N, beta, c, delta, lambda, rho [ Info: Inputs: [ Info: Outputs: y [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001414077 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001074151 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.6349e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.628e-5 [ Info: Selecting generators in 1.375682555 [ Info: Inclusion checked with probability 0.995 in 0.002349378 seconds [ Info: The search for identifiable functions concluded in 2.698437829 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a] │ case = │ (ode = x'(t) = x(t)*a + u(t) │ y(t) = x(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 4 variables x(t), y(t), u(t), a │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001547337 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001217709 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.1109e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 6.6339e-5 [ Info: Selecting generators in 0.000510486 [ Info: Inclusion checked with probability 0.995 in 0.001771515 seconds [ Info: The search for identifiable functions concluded in 0.009670722 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a] │ case = │ (ode = x'(t) = x(t)*a + u(t) │ y(t) = x(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 4 variables x(t), y(t), u(t), a │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001160749 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000957542 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.725e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.158e-5 [ Info: Selecting generators in 0.000567665 [ Info: Inclusion checked with probability 0.995 in 0.001821833 seconds [ Info: The search for identifiable functions concluded in 0.008518133 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a] │ case = │ (ode = x'(t) = x(t)*a + u(t) │ y(t) = x(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 4 variables x(t), y(t), u(t), a │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.00110338 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000847273 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.975e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000439966 [ Info: Selecting generators in 0.000557765 [ Info: Inclusion checked with probability 0.995 in 0.001781464 seconds [ Info: The search for identifiable functions concluded in 0.008417354 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a] │ case = │ (ode = x'(t) = x(t)*a + u(t) │ y(t) = x(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 4 variables x(t), y(t), u(t), a │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x(t), y(t), u(t), a] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001299448 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00107684 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.487e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000428946 [ Info: Selecting generators in 0.000740063 [ Info: Inclusion checked with probability 0.995 in 0.00216942 seconds [ Info: The search for identifiable functions concluded in 0.010263107 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a] │ case = │ (ode = x'(t) = x(t)*a + u(t) │ y(t) = x(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 4 variables x(t), y(t), u(t), a │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x(t), y(t), u(t), a] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001219499 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000983771 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.2889e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000400796 [ Info: Selecting generators in 0.000657684 [ Info: Inclusion checked with probability 0.995 in 0.001917932 seconds [ Info: The search for identifiable functions concluded in 0.00990799 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a] │ case = │ (ode = x'(t) = x(t)*a + u(t) │ y(t) = x(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 4 variables x(t), y(t), u(t), a │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x(t), y(t), u(t), a] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001701235 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00105214 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 2.024e-5 seconds [ Info: The search for identifiable functions concluded in 0.042496186 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001742065 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00103599 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 2.276e-5 seconds [ Info: The search for identifiable functions concluded in 0.004153853 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001493806 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000941742 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 3.3399e-5 seconds [ Info: The search for identifiable functions concluded in 0.003219791 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001304178 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000990481 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 2.125e-5 seconds [ Info: The search for identifiable functions concluded in 0.003035743 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001287179 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000915882 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 2.0689e-5 seconds [ Info: The search for identifiable functions concluded in 0.003153552 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001277668 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000994451 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 2.061e-5 seconds [ Info: The search for identifiable functions concluded in 0.003008853 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001917993 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001149709 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 2.2109e-5 seconds [ Info: The search for identifiable functions concluded in 0.00445487 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001621775 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003068522 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.947e-5 seconds [ Info: The search for identifiable functions concluded in 0.005439511 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.00436875 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001142939 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 2.064e-5 seconds [ Info: The search for identifiable functions concluded in 0.006230364 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.006333792 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001142919 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.93e-5 seconds [ Info: The search for identifiable functions concluded in 0.008188596 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.004888806 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00115121 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.819e-5 seconds [ Info: The search for identifiable functions concluded in 0.006780519 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001623145 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00107874 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.896e-5 seconds [ Info: The search for identifiable functions concluded in 0.00335138 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.237579722 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001790664 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.9649e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 6.8639e-5 [ Info: Selecting generators in 0.000646994 [ Info: Inclusion checked with probability 0.995 in 0.001915403 seconds [ Info: The search for identifiable functions concluded in 0.246897308 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[Θ] │ case = │ (ode = x1'(t) = x2(t)^2*Θ │ x2'(t) = u(t) │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[Θ]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 5 variables x1(t), x2(t), y(t), u(t), Θ │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002404708 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001423047 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.975e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 6.629e-5 [ Info: Selecting generators in 0.000606765 [ Info: Inclusion checked with probability 0.995 in 0.001864683 seconds [ Info: The search for identifiable functions concluded in 0.011425277 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[Θ] │ case = │ (ode = x1'(t) = x2(t)^2*Θ │ x2'(t) = u(t) │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[Θ]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 5 variables x1(t), x2(t), y(t), u(t), Θ │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002514387 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001504086 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.1299e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 6.7729e-5 [ Info: Selecting generators in 0.000534095 [ Info: Inclusion checked with probability 0.995 in 0.001749114 seconds [ Info: The search for identifiable functions concluded in 0.01110052 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[Θ] │ case = │ (ode = x1'(t) = x2(t)^2*Θ │ x2'(t) = u(t) │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[Θ]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 5 variables x1(t), x2(t), y(t), u(t), Θ │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002322929 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001438727 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.767e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000402926 [ Info: Selecting generators in 0.000566925 [ Info: Inclusion checked with probability 0.995 in 0.001768824 seconds [ Info: The search for identifiable functions concluded in 0.011287018 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[Θ] │ case = │ (ode = x1'(t) = x2(t)^2*Θ │ x2'(t) = u(t) │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[Θ]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 5 variables x1(t), x2(t), y(t), u(t), Θ │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), u(t), Θ] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002402288 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001393028 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.27e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000369617 [ Info: Selecting generators in 0.000557335 [ Info: Inclusion checked with probability 0.995 in 0.001649125 seconds [ Info: The search for identifiable functions concluded in 0.010696103 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[Θ] │ case = │ (ode = x1'(t) = x2(t)^2*Θ │ x2'(t) = u(t) │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[Θ]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 5 variables x1(t), x2(t), y(t), u(t), Θ │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), u(t), Θ] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002374358 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001469577 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.451e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000411066 [ Info: Selecting generators in 0.000661134 [ Info: Inclusion checked with probability 0.995 in 0.001731614 seconds [ Info: The search for identifiable functions concluded in 0.011351057 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[Θ] │ case = │ (ode = x1'(t) = x2(t)^2*Θ │ x2'(t) = u(t) │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[Θ]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 5 variables x1(t), x2(t), y(t), u(t), Θ │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), u(t), Θ] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001287698 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.0011303 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.855e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.4159e-5 [ Info: Selecting generators in 0.002052732 [ Info: Inclusion checked with probability 0.995 in 0.003723066 seconds [ Info: The search for identifiable functions concluded in 0.017491912 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k01, c*k_m, V_m//k_m] │ case = │ (ode = x'(t) = (x(t)^2*k01 - x(t)*V_m + x(t)*k01*k_m)//(x(t) + k_m) │ y(t) = x(t)*c │ , ident_funcs = Nemo.QQMPolyRingElem[k01, c*k_m, V_m*c]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 6 variables x(t), y(t), V_m, c, ..., k_m │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001326188 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001361688 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.9729e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.248e-5 [ Info: Selecting generators in 0.002096722 [ Info: Inclusion checked with probability 0.995 in 0.003670567 seconds [ Info: The search for identifiable functions concluded in 0.017531371 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k01, c*k_m, V_m//k_m] │ case = │ (ode = x'(t) = (x(t)^2*k01 - x(t)*V_m + x(t)*k01*k_m)//(x(t) + k_m) │ y(t) = x(t)*c │ , ident_funcs = Nemo.QQMPolyRingElem[k01, c*k_m, V_m*c]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 6 variables x(t), y(t), V_m, c, ..., k_m │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001237459 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001432577 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 4.4959e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.5989e-5 [ Info: Selecting generators in 0.00215933 [ Info: Inclusion checked with probability 0.995 in 0.003680166 seconds [ Info: The search for identifiable functions concluded in 0.017292323 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k01, c*k_m, V_m//k_m] │ case = │ (ode = x'(t) = (x(t)^2*k01 - x(t)*V_m + x(t)*k01*k_m)//(x(t) + k_m) │ y(t) = x(t)*c │ , ident_funcs = Nemo.QQMPolyRingElem[k01, c*k_m, V_m*c]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 6 variables x(t), y(t), V_m, c, ..., k_m │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001370197 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00116417 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.324e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.260691384 [ Info: Selecting generators in 0.003514378 [ Info: Inclusion checked with probability 0.995 in 0.003488279 seconds [ Info: The search for identifiable functions concluded in 0.279232705 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k01, c*k_m, V_m*c] │ case = │ (ode = x'(t) = (x(t)^2*k01 - x(t)*V_m + x(t)*k01*k_m)//(x(t) + k_m) │ y(t) = x(t)*c │ , ident_funcs = Nemo.QQMPolyRingElem[k01, c*k_m, V_m*c]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 6 variables x(t), y(t), V_m, c, ..., k_m │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x(t), y(t), V_m, c, k01, k_m] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001368617 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00113205 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.2759e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.015950376 [ Info: Selecting generators in 0.00330591 [ Info: Inclusion checked with probability 0.995 in 0.003551298 seconds [ Info: The search for identifiable functions concluded in 0.034434609 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k01, c*k_m, V_m*c] │ case = │ (ode = x'(t) = (x(t)^2*k01 - x(t)*V_m + x(t)*k01*k_m)//(x(t) + k_m) │ y(t) = x(t)*c │ , ident_funcs = Nemo.QQMPolyRingElem[k01, c*k_m, V_m*c]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 6 variables x(t), y(t), V_m, c, ..., k_m │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x(t), y(t), V_m, c, k01, k_m] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001335348 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001169839 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.633e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.01543688 [ Info: Selecting generators in 0.003414819 [ Info: Inclusion checked with probability 0.995 in 0.00341247 seconds [ Info: The search for identifiable functions concluded in 0.034572377 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k01, c*k_m, V_m*c] │ case = │ (ode = x'(t) = (x(t)^2*k01 - x(t)*V_m + x(t)*k01*k_m)//(x(t) + k_m) │ y(t) = x(t)*c │ , ident_funcs = Nemo.QQMPolyRingElem[k01, c*k_m, V_m*c]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 6 variables x(t), y(t), V_m, c, ..., k_m │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x(t), y(t), V_m, c, k01, k_m] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001510956 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00106786 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.915e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.413e-5 [ Info: Selecting generators in 0.002446707 [ Info: Inclusion checked with probability 0.995 in 0.002931213 seconds [ Info: The search for identifiable functions concluded in 1.129052933 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a, b*c] │ case = │ (ode = x'(t) = x(t)*a + u(t)*b │ y(t) = x(t)*c │ , ident_funcs = Nemo.QQMPolyRingElem[b*c, a]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 6 variables x(t), y(t), u(t), a, ..., c │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001256238 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000996531 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.928e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.4489e-5 [ Info: Selecting generators in 0.001855953 [ Info: Inclusion checked with probability 0.995 in 0.002648836 seconds [ Info: The search for identifiable functions concluded in 0.013383248 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a, b*c] │ case = │ (ode = x'(t) = x(t)*a + u(t)*b │ y(t) = x(t)*c │ , ident_funcs = Nemo.QQMPolyRingElem[b*c, a]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 6 variables x(t), y(t), u(t), a, ..., c │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001330468 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000972692 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.115e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.6799e-5 [ Info: Selecting generators in 0.001880943 [ Info: Inclusion checked with probability 0.995 in 0.002675026 seconds [ Info: The search for identifiable functions concluded in 0.013981994 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a, b*c] │ case = │ (ode = x'(t) = x(t)*a + u(t)*b │ y(t) = x(t)*c │ , ident_funcs = Nemo.QQMPolyRingElem[b*c, a]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 6 variables x(t), y(t), u(t), a, ..., c │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001308058 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001006191 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.5709e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.237045656 [ Info: Selecting generators in 0.002632456 [ Info: Inclusion checked with probability 0.995 in 0.002905444 seconds [ Info: The search for identifiable functions concluded in 0.25213139 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a, b*c] │ case = │ (ode = x'(t) = x(t)*a + u(t)*b │ y(t) = x(t)*c │ , ident_funcs = Nemo.QQMPolyRingElem[b*c, a]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 6 variables x(t), y(t), u(t), a, ..., c │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x(t), y(t), u(t), a, b, c] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001550546 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00110257 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.958e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.005689708 [ Info: Selecting generators in 0.002179921 [ Info: Inclusion checked with probability 0.995 in 0.002632056 seconds [ Info: The search for identifiable functions concluded in 0.020356676 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a, b*c] │ case = │ (ode = x'(t) = x(t)*a + u(t)*b │ y(t) = x(t)*c │ , ident_funcs = Nemo.QQMPolyRingElem[b*c, a]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 6 variables x(t), y(t), u(t), a, ..., c │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x(t), y(t), u(t), a, b, c] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001270518 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00119435 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.138e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.004766457 [ Info: Selecting generators in 0.001888683 [ Info: Inclusion checked with probability 0.995 in 0.002422178 seconds [ Info: The search for identifiable functions concluded in 0.017244114 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a, b*c] │ case = │ (ode = x'(t) = x(t)*a + u(t)*b │ y(t) = x(t)*c │ , ident_funcs = Nemo.QQMPolyRingElem[b*c, a]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 6 variables x(t), y(t), u(t), a, ..., c │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x(t), y(t), u(t), a, b, c] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001980212 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001380937 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.071e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.952e-5 [ Info: Selecting generators in 0.000683274 [ Info: Inclusion checked with probability 0.995 in 0.002792655 seconds [ Info: The search for identifiable functions concluded in 0.015652308 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a01 + a12 + a21, a01*a12] │ case = │ (ode = x0'(t) = -x0(t)*a01 - x0(t)*a21 + x1(t)*a12 │ x1'(t) = x0(t)*a21 - x1(t)*a12 │ y(t) = x0(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a01*a12, a01 + a12 + a21]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 6 variables x0(t), x1(t), y(t), a01, ..., a21 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.00219132 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001316028 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.705e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.6309e-5 [ Info: Selecting generators in 0.000478145 [ Info: Inclusion checked with probability 0.995 in 0.002667906 seconds [ Info: The search for identifiable functions concluded in 0.015713558 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a01 + a12 + a21, a01*a12] │ case = │ (ode = x0'(t) = -x0(t)*a01 - x0(t)*a21 + x1(t)*a12 │ x1'(t) = x0(t)*a21 - x1(t)*a12 │ y(t) = x0(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a01*a12, a01 + a12 + a21]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 6 variables x0(t), x1(t), y(t), a01, ..., a21 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002003262 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001403998 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.082e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.0179e-5 [ Info: Selecting generators in 0.000489015 [ Info: Inclusion checked with probability 0.995 in 0.002538327 seconds [ Info: The search for identifiable functions concluded in 0.015904266 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a01 + a12 + a21, a01*a12] │ case = │ (ode = x0'(t) = -x0(t)*a01 - x0(t)*a21 + x1(t)*a12 │ x1'(t) = x0(t)*a21 - x1(t)*a12 │ y(t) = x0(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a01*a12, a01 + a12 + a21]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 6 variables x0(t), x1(t), y(t), a01, ..., a21 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002086491 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001693115 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.963e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006242743 [ Info: Selecting generators in 0.000612204 [ Info: Inclusion checked with probability 0.995 in 0.002473438 seconds [ Info: The search for identifiable functions concluded in 0.023795425 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a01 + a12 + a21, a01*a12] │ case = │ (ode = x0'(t) = -x0(t)*a01 - x0(t)*a21 + x1(t)*a12 │ x1'(t) = x0(t)*a21 - x1(t)*a12 │ y(t) = x0(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a01*a12, a01 + a12 + a21]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 6 variables x0(t), x1(t), y(t), a01, ..., a21 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x0(t), x1(t), y(t), a01, a12, a21] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001984782 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.010979021 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.9859e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.007948778 [ Info: Selecting generators in 0.000659174 [ Info: Inclusion checked with probability 0.995 in 0.003234781 seconds [ Info: The search for identifiable functions concluded in 0.036841957 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a01 + a12 + a21, a01*a12] │ case = │ (ode = x0'(t) = -x0(t)*a01 - x0(t)*a21 + x1(t)*a12 │ x1'(t) = x0(t)*a21 - x1(t)*a12 │ y(t) = x0(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a01*a12, a01 + a12 + a21]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 6 variables x0(t), x1(t), y(t), a01, ..., a21 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x0(t), x1(t), y(t), a01, a12, a21] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002327469 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001511696 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.966e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.007091566 [ Info: Selecting generators in 0.000696364 [ Info: Inclusion checked with probability 0.995 in 0.003024302 seconds [ Info: The search for identifiable functions concluded in 0.025007324 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a01 + a12 + a21, a01*a12] │ case = │ (ode = x0'(t) = -x0(t)*a01 - x0(t)*a21 + x1(t)*a12 │ x1'(t) = x0(t)*a21 - x1(t)*a12 │ y(t) = x0(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a01*a12, a01 + a12 + a21]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 6 variables x0(t), x1(t), y(t), a01, ..., a21 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x0(t), x1(t), y(t), a01, a12, a21] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002713136 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001961323 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.918e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.6089e-5 [ Info: Selecting generators in 0.003095902 [ Info: Inclusion checked with probability 0.995 in 0.003493568 seconds [ Info: The search for identifiable functions concluded in 0.022977973 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k3 + k4, k1 + k2, k2*k3] │ case = │ (ode = x1'(t) = -x1(t)*k1 - x1(t)*k2 + x2(t)*k3 + u(t) │ x2'(t) = x1(t)*k2 - x2(t)*k3 - x2(t)*k4 │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[k1 + k2, k3 + k4, k2*k3]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 8 variables x1(t), x2(t), y(t), u(t), ..., k4 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002874914 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.277520841 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 3.309e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.919e-5 [ Info: Selecting generators in 0.003468458 [ Info: Inclusion checked with probability 0.995 in 0.004269381 seconds [ Info: The search for identifiable functions concluded in 0.303659604 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k3 + k4, k1 + k2, k2*k3] │ case = │ (ode = x1'(t) = -x1(t)*k1 - x1(t)*k2 + x2(t)*k3 + u(t) │ x2'(t) = x1(t)*k2 - x2(t)*k3 - x2(t)*k4 │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[k1 + k2, k3 + k4, k2*k3]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 8 variables x1(t), x2(t), y(t), u(t), ..., k4 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003069892 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001996652 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.437e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.9939e-5 [ Info: Selecting generators in 0.003053523 [ Info: Inclusion checked with probability 0.995 in 0.003547798 seconds [ Info: The search for identifiable functions concluded in 0.02321677 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k3 + k4, k1 + k2, k2*k3] │ case = │ (ode = x1'(t) = -x1(t)*k1 - x1(t)*k2 + x2(t)*k3 + u(t) │ x2'(t) = x1(t)*k2 - x2(t)*k3 - x2(t)*k4 │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[k1 + k2, k3 + k4, k2*k3]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 8 variables x1(t), x2(t), y(t), u(t), ..., k4 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002620287 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001884273 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.8199e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.015363561 [ Info: Selecting generators in 0.003393429 [ Info: Inclusion checked with probability 0.995 in 0.003581018 seconds [ Info: The search for identifiable functions concluded in 0.038622531 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k3 + k4, k1 + k2, k2*k3] │ case = │ (ode = x1'(t) = -x1(t)*k1 - x1(t)*k2 + x2(t)*k3 + u(t) │ x2'(t) = x1(t)*k2 - x2(t)*k3 - x2(t)*k4 │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[k1 + k2, k3 + k4, k2*k3]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 8 variables x1(t), x2(t), y(t), u(t), ..., k4 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), u(t), k1, k2, k3, k4] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003058273 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001938352 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.841e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.015992205 [ Info: Selecting generators in 0.003468899 [ Info: Inclusion checked with probability 0.995 in 0.003545028 seconds [ Info: The search for identifiable functions concluded in 0.039893529 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k3 + k4, k1 + k2, k2*k3] │ case = │ (ode = x1'(t) = -x1(t)*k1 - x1(t)*k2 + x2(t)*k3 + u(t) │ x2'(t) = x1(t)*k2 - x2(t)*k3 - x2(t)*k4 │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[k1 + k2, k3 + k4, k2*k3]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 8 variables x1(t), x2(t), y(t), u(t), ..., k4 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), u(t), k1, k2, k3, k4] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002785544 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001849643 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.807e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.014596278 [ Info: Selecting generators in 0.00330763 [ Info: Inclusion checked with probability 0.995 in 0.003439359 seconds [ Info: The search for identifiable functions concluded in 0.037343242 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k3 + k4, k1 + k2, k2*k3] │ case = │ (ode = x1'(t) = -x1(t)*k1 - x1(t)*k2 + x2(t)*k3 + u(t) │ x2'(t) = x1(t)*k2 - x2(t)*k3 - x2(t)*k4 │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[k1 + k2, k3 + k4, k2*k3]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 8 variables x1(t), x2(t), y(t), u(t), ..., k4 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), u(t), k1, k2, k3, k4] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.016971197 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004629299 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.669e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000114989 [ Info: Selecting generators in 0.009364596 [ Info: Inclusion checked with probability 0.995 in 0.006158894 seconds [ Info: The search for identifiable functions concluded in 0.348214251 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[λ3, λ2, λ1, β3, β2, β1] │ case = │ (ode = x1'(t) = x1(t)*λ1 + u1(t)*β1 │ x2'(t) = x2(t)*λ2 + u2(t)*β2 │ x3'(t) = x3(t)*λ3 + u3(t)*β3 │ y(t) = x1(t) + x2(t) + x3(t) │ , ident_funcs = Nemo.QQMPolyRingElem[λ1, λ2, λ3, β1, β2, β3]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 13 variables x1(t), x2(t), x3(t), y(t), ..., λ3 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.007176745 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004846547 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.761e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000117739 [ Info: Selecting generators in 0.009315525 [ Info: Inclusion checked with probability 0.995 in 0.005986395 seconds [ Info: The search for identifiable functions concluded in 0.046700208 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[λ3, λ2, λ1, β3, β2, β1] │ case = │ (ode = x1'(t) = x1(t)*λ1 + u1(t)*β1 │ x2'(t) = x2(t)*λ2 + u2(t)*β2 │ x3'(t) = x3(t)*λ3 + u3(t)*β3 │ y(t) = x1(t) + x2(t) + x3(t) │ , ident_funcs = Nemo.QQMPolyRingElem[λ1, λ2, λ3, β1, β2, β3]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 13 variables x1(t), x2(t), x3(t), y(t), ..., λ3 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.006940957 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004743617 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.366e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000102229 [ Info: Selecting generators in 0.009526224 [ Info: Inclusion checked with probability 0.995 in 0.006720529 seconds [ Info: The search for identifiable functions concluded in 0.046669648 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[λ3, λ2, λ1, β3, β2, β1] │ case = │ (ode = x1'(t) = x1(t)*λ1 + u1(t)*β1 │ x2'(t) = x2(t)*λ2 + u2(t)*β2 │ x3'(t) = x3(t)*λ3 + u3(t)*β3 │ y(t) = x1(t) + x2(t) + x3(t) │ , ident_funcs = Nemo.QQMPolyRingElem[λ1, λ2, λ3, β1, β2, β3]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 13 variables x1(t), x2(t), x3(t), y(t), ..., λ3 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.007607921 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005570229 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 4.33e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002347148 [ Info: Selecting generators in 0.012245679 [ Info: Inclusion checked with probability 0.995 in 0.007418263 seconds [ Info: The search for identifiable functions concluded in 0.058219474 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[λ3, λ2, λ1, β3, β2, β1] │ case = │ (ode = x1'(t) = x1(t)*λ1 + u1(t)*β1 │ x2'(t) = x2(t)*λ2 + u2(t)*β2 │ x3'(t) = x3(t)*λ3 + u3(t)*β3 │ y(t) = x1(t) + x2(t) + x3(t) │ , ident_funcs = Nemo.QQMPolyRingElem[λ1, λ2, λ3, β1, β2, β3]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 13 variables x1(t), x2(t), x3(t), y(t), ..., λ3 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), u1(t), u2(t), u3(t), β1, β2, β3, λ1, λ2, λ3] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.007876489 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005662739 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.112e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002441588 [ Info: Selecting generators in 0.013110781 [ Info: Inclusion checked with probability 0.995 in 0.007078096 seconds [ Info: The search for identifiable functions concluded in 0.05861197 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[λ3, λ2, λ1, β3, β2, β1] │ case = │ (ode = x1'(t) = x1(t)*λ1 + u1(t)*β1 │ x2'(t) = x2(t)*λ2 + u2(t)*β2 │ x3'(t) = x3(t)*λ3 + u3(t)*β3 │ y(t) = x1(t) + x2(t) + x3(t) │ , ident_funcs = Nemo.QQMPolyRingElem[λ1, λ2, λ3, β1, β2, β3]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 13 variables x1(t), x2(t), x3(t), y(t), ..., λ3 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), u1(t), u2(t), u3(t), β1, β2, β3, λ1, λ2, λ3] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.00767447 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005246482 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.331e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.00223702 [ Info: Selecting generators in 0.010699264 [ Info: Inclusion checked with probability 0.995 in 0.007654541 seconds [ Info: The search for identifiable functions concluded in 0.054894514 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[λ3, λ2, λ1, β3, β2, β1] │ case = │ (ode = x1'(t) = x1(t)*λ1 + u1(t)*β1 │ x2'(t) = x2(t)*λ2 + u2(t)*β2 │ x3'(t) = x3(t)*λ3 + u3(t)*β3 │ y(t) = x1(t) + x2(t) + x3(t) │ , ident_funcs = Nemo.QQMPolyRingElem[λ1, λ2, λ3, β1, β2, β3]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 13 variables x1(t), x2(t), x3(t), y(t), ..., λ3 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), u1(t), u2(t), u3(t), β1, β2, β3, λ1, λ2, λ3] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.005275992 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003162092 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.204e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000124899 [ Info: Selecting generators in 0.003890474 [ Info: Inclusion checked with probability 0.995 in 0.004223542 seconds [ Info: The search for identifiable functions concluded in 0.338761847 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[b2, b1, a2, a1] │ case = │ (ode = x1'(t) = -x1(t)*a1 + x2(t)*b1 + u(t) │ x2'(t) = x1(t)*a1 - x2(t)*a2 - x2(t)*b1 + x3(t)*b2 │ x3'(t) = x2(t)*a2 - x3(t)*b2 │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a1, a2, b1, b2]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), x3(t), y(t), ..., b2 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.004971475 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003031663 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 3.8369e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.8239e-5 [ Info: Selecting generators in 0.001738254 [ Info: Inclusion checked with probability 0.995 in 0.003769046 seconds [ Info: The search for identifiable functions concluded in 0.024450699 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[b2, b1, a2, a1] │ case = │ (ode = x1'(t) = -x1(t)*a1 + x2(t)*b1 + u(t) │ x2'(t) = x1(t)*a1 - x2(t)*a2 - x2(t)*b1 + x3(t)*b2 │ x3'(t) = x2(t)*a2 - x3(t)*b2 │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a1, a2, b1, b2]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), x3(t), y(t), ..., b2 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.005323642 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002938343 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.0209e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.3639e-5 [ Info: Selecting generators in 0.001927772 [ Info: Inclusion checked with probability 0.995 in 0.003933635 seconds [ Info: The search for identifiable functions concluded in 0.024604457 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[b2, b1, a2, a1] │ case = │ (ode = x1'(t) = -x1(t)*a1 + x2(t)*b1 + u(t) │ x2'(t) = x1(t)*a1 - x2(t)*a2 - x2(t)*b1 + x3(t)*b2 │ x3'(t) = x2(t)*a2 - x3(t)*b2 │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a1, a2, b1, b2]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), x3(t), y(t), ..., b2 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.004735147 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002820605 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.0919e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.00117445 [ Info: Selecting generators in 0.001870383 [ Info: Inclusion checked with probability 0.995 in 0.003808066 seconds [ Info: The search for identifiable functions concluded in 0.024860795 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[b2, b1, a2, a1] │ case = │ (ode = x1'(t) = -x1(t)*a1 + x2(t)*b1 + u(t) │ x2'(t) = x1(t)*a1 - x2(t)*a2 - x2(t)*b1 + x3(t)*b2 │ x3'(t) = x2(t)*a2 - x3(t)*b2 │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a1, a2, b1, b2]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), x3(t), y(t), ..., b2 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), u(t), a1, a2, b1, b2] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.004824376 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002845584 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.075e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001187049 [ Info: Selecting generators in 0.001929432 [ Info: Inclusion checked with probability 0.995 in 0.003727237 seconds [ Info: The search for identifiable functions concluded in 0.024705177 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[b2, b1, a2, a1] │ case = │ (ode = x1'(t) = -x1(t)*a1 + x2(t)*b1 + u(t) │ x2'(t) = x1(t)*a1 - x2(t)*a2 - x2(t)*b1 + x3(t)*b2 │ x3'(t) = x2(t)*a2 - x3(t)*b2 │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a1, a2, b1, b2]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), x3(t), y(t), ..., b2 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), u(t), a1, a2, b1, b2] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.004843866 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002830734 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.101e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001180229 [ Info: Selecting generators in 0.001908752 [ Info: Inclusion checked with probability 0.995 in 0.003761226 seconds [ Info: The search for identifiable functions concluded in 0.024743467 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[b2, b1, a2, a1] │ case = │ (ode = x1'(t) = -x1(t)*a1 + x2(t)*b1 + u(t) │ x2'(t) = x1(t)*a1 - x2(t)*a2 - x2(t)*b1 + x3(t)*b2 │ x3'(t) = x2(t)*a2 - x3(t)*b2 │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a1, a2, b1, b2]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), x3(t), y(t), ..., b2 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), u(t), a1, a2, b1, b2] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.005023345 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002826394 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.211e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.8019e-5 [ Info: Selecting generators in 0.002460568 [ Info: Inclusion checked with probability 0.995 in 0.003812035 seconds [ Info: The search for identifiable functions concluded in 0.028008126 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a1 + a2 + b1 + b2, b1*b2, a1*a2 + a1*b2 + b1*b2] │ case = │ (ode = x1'(t) = -x1(t)*a1 + x2(t)*b1 │ x2'(t) = x1(t)*a1 - x2(t)*a2 - x2(t)*b1 + x3(t)*b2 │ x3'(t) = x2(t)*a2 - x3(t)*b2 + u(t) │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[b1*b2, a1 + a2 + b1 + b2, a1*a2 + a1*b2]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), x3(t), y(t), ..., b2 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.005075854 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002916413 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.313e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000101399 [ Info: Selecting generators in 0.002516407 [ Info: Inclusion checked with probability 0.995 in 0.003904055 seconds [ Info: The search for identifiable functions concluded in 0.029256426 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a1 + a2 + b1 + b2, b1*b2, a1*a2 + a1*b2 + b1*b2] │ case = │ (ode = x1'(t) = -x1(t)*a1 + x2(t)*b1 │ x2'(t) = x1(t)*a1 - x2(t)*a2 - x2(t)*b1 + x3(t)*b2 │ x3'(t) = x2(t)*a2 - x3(t)*b2 + u(t) │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[b1*b2, a1 + a2 + b1 + b2, a1*a2 + a1*b2]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), x3(t), y(t), ..., b2 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.005258493 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002710115 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.2319e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.0979e-5 [ Info: Selecting generators in 0.002316709 [ Info: Inclusion checked with probability 0.995 in 0.003813616 seconds [ Info: The search for identifiable functions concluded in 0.028133356 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a1 + a2 + b1 + b2, b1*b2, a1*a2 + a1*b2 + b1*b2] │ case = │ (ode = x1'(t) = -x1(t)*a1 + x2(t)*b1 │ x2'(t) = x1(t)*a1 - x2(t)*a2 - x2(t)*b1 + x3(t)*b2 │ x3'(t) = x2(t)*a2 - x3(t)*b2 + u(t) │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[b1*b2, a1 + a2 + b1 + b2, a1*a2 + a1*b2]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), x3(t), y(t), ..., b2 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.004914805 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002772485 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.309e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.019095048 [ Info: Selecting generators in 0.003659207 [ Info: Inclusion checked with probability 0.995 in 0.003819165 seconds [ Info: The search for identifiable functions concluded in 0.047937316 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a1 + a2 + b1 + b2, b1*b2, a1*a2 + a1*b2] │ case = │ (ode = x1'(t) = -x1(t)*a1 + x2(t)*b1 │ x2'(t) = x1(t)*a1 - x2(t)*a2 - x2(t)*b1 + x3(t)*b2 │ x3'(t) = x2(t)*a2 - x3(t)*b2 + u(t) │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[b1*b2, a1 + a2 + b1 + b2, a1*a2 + a1*b2]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), x3(t), y(t), ..., b2 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), u(t), a1, a2, b1, b2] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.005045384 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002818055 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.537e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.017896818 [ Info: Selecting generators in 0.003698507 [ Info: Inclusion checked with probability 0.995 in 0.003543278 seconds [ Info: The search for identifiable functions concluded in 0.047204884 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a1 + a2 + b1 + b2, b1*b2, a1*a2 + a1*b2] │ case = │ (ode = x1'(t) = -x1(t)*a1 + x2(t)*b1 │ x2'(t) = x1(t)*a1 - x2(t)*a2 - x2(t)*b1 + x3(t)*b2 │ x3'(t) = x2(t)*a2 - x3(t)*b2 + u(t) │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[b1*b2, a1 + a2 + b1 + b2, a1*a2 + a1*b2]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), x3(t), y(t), ..., b2 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), u(t), a1, a2, b1, b2] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.004699528 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002770025 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.451e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.01878239 [ Info: Selecting generators in 0.003597038 [ Info: Inclusion checked with probability 0.995 in 0.003738966 seconds [ Info: The search for identifiable functions concluded in 0.047229733 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a1 + a2 + b1 + b2, b1*b2, a1*a2 + a1*b2] │ case = │ (ode = x1'(t) = -x1(t)*a1 + x2(t)*b1 │ x2'(t) = x1(t)*a1 - x2(t)*a2 - x2(t)*b1 + x3(t)*b2 │ x3'(t) = x2(t)*a2 - x3(t)*b2 + u(t) │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[b1*b2, a1 + a2 + b1 + b2, a1*a2 + a1*b2]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), x3(t), y(t), ..., b2 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), u(t), a1, a2, b1, b2] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002616006 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001798014 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.136e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.9379e-5 [ Info: Selecting generators in 0.001548226 [ Info: Inclusion checked with probability 0.995 in 0.003244101 seconds [ Info: The search for identifiable functions concluded in 0.01769617 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p1 + p4, p1*p4 - p2*p3] │ case = │ (ode = x1'(t) = x1(t)^2*p1 + x1(t)*x2(t)*p2 │ x2'(t) = x1(t)^2*p3 + x1(t)*x2(t)*p4 │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[p1 + p4, p1*p4 - p2*p3]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 7 variables x1(t), x2(t), y(t), p1, ..., p4 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002464098 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001737274 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.264e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.2949e-5 [ Info: Selecting generators in 0.001669565 [ Info: Inclusion checked with probability 0.995 in 0.00323915 seconds [ Info: The search for identifiable functions concluded in 0.01774521 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p1 + p4, p1*p4 - p2*p3] │ case = │ (ode = x1'(t) = x1(t)^2*p1 + x1(t)*x2(t)*p2 │ x2'(t) = x1(t)^2*p3 + x1(t)*x2(t)*p4 │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[p1 + p4, p1*p4 - p2*p3]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 7 variables x1(t), x2(t), y(t), p1, ..., p4 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002498537 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001728224 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.173e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.5909e-5 [ Info: Selecting generators in 0.001659115 [ Info: Inclusion checked with probability 0.995 in 0.0032882 seconds [ Info: The search for identifiable functions concluded in 0.01769143 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p1 + p4, p1*p4 - p2*p3] │ case = │ (ode = x1'(t) = x1(t)^2*p1 + x1(t)*x2(t)*p2 │ x2'(t) = x1(t)^2*p3 + x1(t)*x2(t)*p4 │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[p1 + p4, p1*p4 - p2*p3]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 7 variables x1(t), x2(t), y(t), p1, ..., p4 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002355838 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001709194 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.1169e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.012560377 [ Info: Selecting generators in 0.002793975 [ Info: Inclusion checked with probability 0.995 in 0.003184991 seconds [ Info: The search for identifiable functions concluded in 0.030882691 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p1 + p4, p1*p4 - p2*p3] │ case = │ (ode = x1'(t) = x1(t)^2*p1 + x1(t)*x2(t)*p2 │ x2'(t) = x1(t)^2*p3 + x1(t)*x2(t)*p4 │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[p1 + p4, p1*p4 - p2*p3]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 7 variables x1(t), x2(t), y(t), p1, ..., p4 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), p1, p2, p3, p4] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002573147 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001845514 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.055e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.015552659 [ Info: Selecting generators in 0.003038803 [ Info: Inclusion checked with probability 0.995 in 0.003570988 seconds [ Info: The search for identifiable functions concluded in 0.035685497 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p1 + p4, p1*p4 - p2*p3] │ case = │ (ode = x1'(t) = x1(t)^2*p1 + x1(t)*x2(t)*p2 │ x2'(t) = x1(t)^2*p3 + x1(t)*x2(t)*p4 │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[p1 + p4, p1*p4 - p2*p3]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 7 variables x1(t), x2(t), y(t), p1, ..., p4 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), p1, p2, p3, p4] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002705975 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001881173 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.236e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.015924666 [ Info: Selecting generators in 0.003000223 [ Info: Inclusion checked with probability 0.995 in 0.003247511 seconds [ Info: The search for identifiable functions concluded in 0.035876866 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p1 + p4, p1*p4 - p2*p3] │ case = │ (ode = x1'(t) = x1(t)^2*p1 + x1(t)*x2(t)*p2 │ x2'(t) = x1(t)^2*p3 + x1(t)*x2(t)*p4 │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[p1 + p4, p1*p4 - p2*p3]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 7 variables x1(t), x2(t), y(t), p1, ..., p4 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), p1, p2, p3, p4] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.013987743 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.029807051 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000291567 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:08 ✓ # Computing specializations.. Time: 0:00:08 [ Info: Search for polynomial generators concluded in 0.000116849 [ Info: Selecting generators in 0.014715057 [ Info: Inclusion checked with probability 0.995 in 0.025371841 seconds [ Info: The search for identifiable functions concluded in 17.540433114 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[sigma, c, b, beta + delta, beta*delta] │ case = │ (ode = x1'(t) = (-x1(t)*x4(t)*b - x1(t)*b*c + 1)//(x4(t) + c) │ x2'(t) = x1(t)*alpha - x2(t)*beta │ x3'(t) = x2(t)*gama - x3(t)*delta │ x4'(t) = (x2(t)*x4(t)*gama*sigma - x3(t)*x4(t)*delta*sigma)//x3(t) │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[sigma, beta + delta, c, b, beta*delta]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 12 variables x1(t), x2(t), x3(t), x4(t), ..., sigma │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.013101642 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.028548032 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000385437 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000111449 [ Info: Selecting generators in 0.014824965 [ Info: Inclusion checked with probability 0.995 in 0.028572021 seconds [ Info: The search for identifiable functions concluded in 0.154489162 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[sigma, c, b, beta + delta, beta*delta] │ case = │ (ode = x1'(t) = (-x1(t)*x4(t)*b - x1(t)*b*c + 1)//(x4(t) + c) │ x2'(t) = x1(t)*alpha - x2(t)*beta │ x3'(t) = x2(t)*gama - x3(t)*delta │ x4'(t) = (x2(t)*x4(t)*gama*sigma - x3(t)*x4(t)*delta*sigma)//x3(t) │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[sigma, beta + delta, c, b, beta*delta]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 12 variables x1(t), x2(t), x3(t), x4(t), ..., sigma │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.014491749 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.030526644 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000379997 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000111929 [ Info: Selecting generators in 0.013584357 [ Info: Inclusion checked with probability 0.995 in 0.025658808 seconds [ Info: The search for identifiable functions concluded in 0.151520209 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[sigma, c, b, beta + delta, beta*delta] │ case = │ (ode = x1'(t) = (-x1(t)*x4(t)*b - x1(t)*b*c + 1)//(x4(t) + c) │ x2'(t) = x1(t)*alpha - x2(t)*beta │ x3'(t) = x2(t)*gama - x3(t)*delta │ x4'(t) = (x2(t)*x4(t)*gama*sigma - x3(t)*x4(t)*delta*sigma)//x3(t) │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[sigma, beta + delta, c, b, beta*delta]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 12 variables x1(t), x2(t), x3(t), x4(t), ..., sigma │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.01325277 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.026350722 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000344227 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.213837169 [ Info: Selecting generators in 0.015634569 [ Info: Inclusion checked with probability 0.995 in 0.025596219 seconds [ Info: The search for identifiable functions concluded in 1.361709241 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[sigma, c, b, beta + delta, beta*delta] │ case = │ (ode = x1'(t) = (-x1(t)*x4(t)*b - x1(t)*b*c + 1)//(x4(t) + c) │ x2'(t) = x1(t)*alpha - x2(t)*beta │ x3'(t) = x2(t)*gama - x3(t)*delta │ x4'(t) = (x2(t)*x4(t)*gama*sigma - x3(t)*x4(t)*delta*sigma)//x3(t) │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[sigma, beta + delta, c, b, beta*delta]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 12 variables x1(t), x2(t), x3(t), x4(t), ..., sigma │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y(t), alpha, b, beta, c, delta, gama, sigma] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.013309089 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.029098856 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000412006 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.049518892 [ Info: Selecting generators in 0.015130953 [ Info: Inclusion checked with probability 0.995 in 0.024883335 seconds [ Info: The search for identifiable functions concluded in 0.201250399 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[sigma, c, b, beta + delta, beta*delta] │ case = │ (ode = x1'(t) = (-x1(t)*x4(t)*b - x1(t)*b*c + 1)//(x4(t) + c) │ x2'(t) = x1(t)*alpha - x2(t)*beta │ x3'(t) = x2(t)*gama - x3(t)*delta │ x4'(t) = (x2(t)*x4(t)*gama*sigma - x3(t)*x4(t)*delta*sigma)//x3(t) │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[sigma, beta + delta, c, b, beta*delta]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 12 variables x1(t), x2(t), x3(t), x4(t), ..., sigma │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y(t), alpha, b, beta, c, delta, gama, sigma] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.440595954 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.031248088 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000369077 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.044463988 [ Info: Selecting generators in 0.014238902 [ Info: Inclusion checked with probability 0.995 in 0.027493011 seconds [ Info: The search for identifiable functions concluded in 0.626544271 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[sigma, c, b, beta + delta, beta*delta] │ case = │ (ode = x1'(t) = (-x1(t)*x4(t)*b - x1(t)*b*c + 1)//(x4(t) + c) │ x2'(t) = x1(t)*alpha - x2(t)*beta │ x3'(t) = x2(t)*gama - x3(t)*delta │ x4'(t) = (x2(t)*x4(t)*gama*sigma - x3(t)*x4(t)*delta*sigma)//x3(t) │ y(t) = x1(t) │ , ident_funcs = Nemo.QQMPolyRingElem[sigma, beta + delta, c, b, beta*delta]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 12 variables x1(t), x2(t), x3(t), x4(t), ..., sigma │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y(t), alpha, b, beta, c, delta, gama, sigma] [ Info: Computing IO-equations [ Info: Computed IO-equations in 2.114056032 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 7.314565373 seconds [ Info: Dimensions of the Wronskians [830, 3] [ Info: Ranks of the Wronskians computed in 0.196156705 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 4   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.000158439 [ Info: Selecting generators in 1.207252374 [ Info: Inclusion checked with probability 0.995 in 2.312191274 seconds [ Info: The search for identifiable functions concluded in 17.431714127 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[nu, mu, g, b0, M^2] │ case = │ (ode = s'(t) = -s(t)*i(t)*x1(t)*b0*b1 - s(t)*i(t)*b0 - s(t)*mu + r(t)*g + mu │ i'(t) = s(t)*i(t)*x1(t)*b0*b1 + s(t)*i(t)*b0 - i(t)*mu - i(t)*nu │ r'(t) = i(t)*nu - r(t)*g - r(t)*mu │ x1'(t) = -x2(t)*M │ x2'(t) = x1(t)*M │ y1(t) = i(t) │ y2(t) = r(t) │ , ident_funcs = Nemo.QQMPolyRingElem[g, mu, b0, nu, M^2]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 13 variables s(t), i(t), r(t), x1(t), ..., nu │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 2.104150505 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 7.872215967 seconds [ Info: Dimensions of the Wronskians [830, 3] [ Info: Ranks of the Wronskians computed in 0.18776723 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 7   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.000128529 [ Info: Selecting generators in 1.382882318 [ Info: Inclusion checked with probability 0.995 in 2.469895105 seconds [ Info: The search for identifiable functions concluded in 18.120904877 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[nu, mu, g, b0, M^2] │ case = │ (ode = s'(t) = -s(t)*i(t)*x1(t)*b0*b1 - s(t)*i(t)*b0 - s(t)*mu + r(t)*g + mu │ i'(t) = s(t)*i(t)*x1(t)*b0*b1 + s(t)*i(t)*b0 - i(t)*mu - i(t)*nu │ r'(t) = i(t)*nu - r(t)*g - r(t)*mu │ x1'(t) = -x2(t)*M │ x2'(t) = x1(t)*M │ y1(t) = i(t) │ y2(t) = r(t) │ , ident_funcs = Nemo.QQMPolyRingElem[g, mu, b0, nu, M^2]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 13 variables s(t), i(t), r(t), x1(t), ..., nu │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 1.417450894 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 5.996418923 seconds [ Info: Dimensions of the Wronskians [830, 3] [ Info: Ranks of the Wronskians computed in 0.137251567 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.000126189 [ Info: Selecting generators in 0.711734263 [ Info: Inclusion checked with probability 0.995 in 2.366659862 seconds [ Info: The search for identifiable functions concluded in 13.559222352 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[nu, mu, g, b0, M^2] │ case = │ (ode = s'(t) = -s(t)*i(t)*x1(t)*b0*b1 - s(t)*i(t)*b0 - s(t)*mu + r(t)*g + mu │ i'(t) = s(t)*i(t)*x1(t)*b0*b1 + s(t)*i(t)*b0 - i(t)*mu - i(t)*nu │ r'(t) = i(t)*nu - r(t)*g - r(t)*mu │ x1'(t) = -x2(t)*M │ x2'(t) = x1(t)*M │ y1(t) = i(t) │ y2(t) = r(t) │ , ident_funcs = Nemo.QQMPolyRingElem[g, mu, b0, nu, M^2]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 13 variables s(t), i(t), r(t), x1(t), ..., nu │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 1.020500794 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 5.858798461 seconds [ Info: Dimensions of the Wronskians [830, 3] [ Info: Ranks of the Wronskians computed in 0.150886663 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:00 ⌝ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 8   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.027003725 [ Info: Selecting generators in 0.613085945 [ Info: Inclusion checked with probability 0.995 in 2.589346007 seconds [ Info: The search for identifiable functions concluded in 14.210039152 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[nu, mu, g, b0, M^2] │ case = │ (ode = s'(t) = -s(t)*i(t)*x1(t)*b0*b1 - s(t)*i(t)*b0 - s(t)*mu + r(t)*g + mu │ i'(t) = s(t)*i(t)*x1(t)*b0*b1 + s(t)*i(t)*b0 - i(t)*mu - i(t)*nu │ r'(t) = i(t)*nu - r(t)*g - r(t)*mu │ x1'(t) = -x2(t)*M │ x2'(t) = x1(t)*M │ y1(t) = i(t) │ y2(t) = r(t) │ , ident_funcs = Nemo.QQMPolyRingElem[g, mu, b0, nu, M^2]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 13 variables s(t), i(t), r(t), x1(t), ..., nu │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[s(t), i(t), r(t), x1(t), x2(t), y1(t), y2(t), M, b0, b1, g, mu, nu] [ Info: Computing IO-equations [ Info: Computed IO-equations in 2.326343788 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 8.268744207 seconds [ Info: Dimensions of the Wronskians [830, 3] [ Info: Ranks of the Wronskians computed in 0.185792986 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 7   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.035088062 [ Info: Selecting generators in 1.103864362 [ Info: Inclusion checked with probability 0.995 in 2.575322741 seconds [ Info: The search for identifiable functions concluded in 18.655313454 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[nu, mu, g, b0, M^2] │ case = │ (ode = s'(t) = -s(t)*i(t)*x1(t)*b0*b1 - s(t)*i(t)*b0 - s(t)*mu + r(t)*g + mu │ i'(t) = s(t)*i(t)*x1(t)*b0*b1 + s(t)*i(t)*b0 - i(t)*mu - i(t)*nu │ r'(t) = i(t)*nu - r(t)*g - r(t)*mu │ x1'(t) = -x2(t)*M │ x2'(t) = x1(t)*M │ y1(t) = i(t) │ y2(t) = r(t) │ , ident_funcs = Nemo.QQMPolyRingElem[g, mu, b0, nu, M^2]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 13 variables s(t), i(t), r(t), x1(t), ..., nu │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[s(t), i(t), r(t), x1(t), x2(t), y1(t), y2(t), M, b0, b1, g, mu, nu] [ Info: Computing IO-equations [ Info: Computed IO-equations in 2.198785994 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 7.514880226 seconds [ Info: Dimensions of the Wronskians [830, 3] [ Info: Ranks of the Wronskians computed in 0.179988807 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 7   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.036960245 [ Info: Selecting generators in 1.15317894 [ Info: Inclusion checked with probability 0.995 in 2.410442357 seconds [ Info: The search for identifiable functions concluded in 17.597932502 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[nu, mu, g, b0, M^2] │ case = │ (ode = s'(t) = -s(t)*i(t)*x1(t)*b0*b1 - s(t)*i(t)*b0 - s(t)*mu + r(t)*g + mu │ i'(t) = s(t)*i(t)*x1(t)*b0*b1 + s(t)*i(t)*b0 - i(t)*mu - i(t)*nu │ r'(t) = i(t)*nu - r(t)*g - r(t)*mu │ x1'(t) = -x2(t)*M │ x2'(t) = x1(t)*M │ y1(t) = i(t) │ y2(t) = r(t) │ , ident_funcs = Nemo.QQMPolyRingElem[g, mu, b0, nu, M^2]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 13 variables s(t), i(t), r(t), x1(t), ..., nu │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[s(t), i(t), r(t), x1(t), x2(t), y1(t), y2(t), M, b0, b1, g, mu, nu] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.011945242 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00998143 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.849e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000100419 [ Info: Selecting generators in 0.00661839 [ Info: Inclusion checked with probability 0.995 in 0.007586352 seconds [ Info: The search for identifiable functions concluded in 0.069024415 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[gamma, beta//psi, gamma*psi - psi*v, gamma*psi - gamma - psi - v] │ case = │ (ode = S'(t) = -S(t)*I(t)*beta │ E'(t) = S(t)*I(t)*beta - E(t)*v │ I'(t) = E(t)*v + I(t)*gamma*psi - I(t)*gamma - I(t)*psi │ R'(t) = -I(t)*gamma*psi + I(t)*gamma + Q(t)*gamma │ Q'(t) = I(t)*psi - Q(t)*gamma │ y1(t) = Q(t) │ , ident_funcs = AbstractAlgebra.RingElem[gamma*psi - psi*v, beta//psi, gamma, psi*v - psi - v]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 10 variables S(t), E(t), I(t), R(t), ..., v │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.010904421 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.009240186 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.17e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.7479e-5 [ Info: Selecting generators in 0.006371952 [ Info: Inclusion checked with probability 0.995 in 0.007494662 seconds [ Info: The search for identifiable functions concluded in 0.065532586 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[gamma, beta//psi, gamma*psi - psi*v, gamma*psi - gamma - psi - v] │ case = │ (ode = S'(t) = -S(t)*I(t)*beta │ E'(t) = S(t)*I(t)*beta - E(t)*v │ I'(t) = E(t)*v + I(t)*gamma*psi - I(t)*gamma - I(t)*psi │ R'(t) = -I(t)*gamma*psi + I(t)*gamma + Q(t)*gamma │ Q'(t) = I(t)*psi - Q(t)*gamma │ y1(t) = Q(t) │ , ident_funcs = AbstractAlgebra.RingElem[gamma*psi - psi*v, beta//psi, gamma, psi*v - psi - v]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 10 variables S(t), E(t), I(t), R(t), ..., v │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.011173129 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.009181236 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.474e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000100529 [ Info: Selecting generators in 0.006910768 [ Info: Inclusion checked with probability 0.995 in 0.007422762 seconds [ Info: The search for identifiable functions concluded in 0.06722009 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[gamma, beta//psi, gamma*psi - psi*v, gamma*psi - gamma - psi - v] │ case = │ (ode = S'(t) = -S(t)*I(t)*beta │ E'(t) = S(t)*I(t)*beta - E(t)*v │ I'(t) = E(t)*v + I(t)*gamma*psi - I(t)*gamma - I(t)*psi │ R'(t) = -I(t)*gamma*psi + I(t)*gamma + Q(t)*gamma │ Q'(t) = I(t)*psi - Q(t)*gamma │ y1(t) = Q(t) │ , ident_funcs = AbstractAlgebra.RingElem[gamma*psi - psi*v, beta//psi, gamma, psi*v - psi - v]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 10 variables S(t), E(t), I(t), R(t), ..., v │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.010917431 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.009257086 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.4819e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.030505853 [ Info: Selecting generators in 0.00994458 [ Info: Inclusion checked with probability 0.995 in 0.007290844 seconds [ Info: The search for identifiable functions concluded in 0.099779805 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[gamma, beta//psi, gamma*psi - psi*v, psi*v - psi - v] │ case = │ (ode = S'(t) = -S(t)*I(t)*beta │ E'(t) = S(t)*I(t)*beta - E(t)*v │ I'(t) = E(t)*v + I(t)*gamma*psi - I(t)*gamma - I(t)*psi │ R'(t) = -I(t)*gamma*psi + I(t)*gamma + Q(t)*gamma │ Q'(t) = I(t)*psi - Q(t)*gamma │ y1(t) = Q(t) │ , ident_funcs = AbstractAlgebra.RingElem[gamma*psi - psi*v, beta//psi, gamma, psi*v - psi - v]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 10 variables S(t), E(t), I(t), R(t), ..., v │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[S(t), E(t), I(t), R(t), Q(t), y1(t), beta, gamma, psi, v] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.010425656 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.008658602 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.131e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.028440582 [ Info: Selecting generators in 0.009444475 [ Info: Inclusion checked with probability 0.995 in 0.006832938 seconds [ Info: The search for identifiable functions concluded in 0.093339263 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[gamma, beta//psi, gamma*psi - psi*v, psi*v - psi - v] │ case = │ (ode = S'(t) = -S(t)*I(t)*beta │ E'(t) = S(t)*I(t)*beta - E(t)*v │ I'(t) = E(t)*v + I(t)*gamma*psi - I(t)*gamma - I(t)*psi │ R'(t) = -I(t)*gamma*psi + I(t)*gamma + Q(t)*gamma │ Q'(t) = I(t)*psi - Q(t)*gamma │ y1(t) = Q(t) │ , ident_funcs = AbstractAlgebra.RingElem[gamma*psi - psi*v, beta//psi, gamma, psi*v - psi - v]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 10 variables S(t), E(t), I(t), R(t), ..., v │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[S(t), E(t), I(t), R(t), Q(t), y1(t), beta, gamma, psi, v] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.010903921 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.009481694 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.0919e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.025588938 [ Info: Selecting generators in 0.011142409 [ Info: Inclusion checked with probability 0.995 in 0.008231546 seconds [ Info: The search for identifiable functions concluded in 0.099016952 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[gamma, beta//psi, gamma*psi - psi*v, psi*v - psi - v] │ case = │ (ode = S'(t) = -S(t)*I(t)*beta │ E'(t) = S(t)*I(t)*beta - E(t)*v │ I'(t) = E(t)*v + I(t)*gamma*psi - I(t)*gamma - I(t)*psi │ R'(t) = -I(t)*gamma*psi + I(t)*gamma + Q(t)*gamma │ Q'(t) = I(t)*psi - Q(t)*gamma │ y1(t) = Q(t) │ , ident_funcs = AbstractAlgebra.RingElem[gamma*psi - psi*v, beta//psi, gamma, psi*v - psi - v]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 10 variables S(t), E(t), I(t), R(t), ..., v │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[S(t), E(t), I(t), R(t), Q(t), y1(t), beta, gamma, psi, v] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.010908071 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006255483 seconds [ Info: Dimensions of the Wronskians [8] [ Info: Ranks of the Wronskians computed in 2.153e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000290748 [ Info: Selecting generators in 0.042742912 [ Info: Inclusion checked with probability 0.995 in 0.014754627 seconds [ Info: The search for identifiable functions concluded in 1.797326847 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k01, k21 + k31 + k41, k12 + k13 + k14, k12*k13 + k12*k14 + k13*k14, k01*k12 + k01*k13 + k01*k14 + k12*k13 + k12*k14 + k12*k31 + k12*k41 + k13*k14 + k13*k21 + k13*k41 + k14*k21 + k14*k31, k12*k13*k14, k01*k12*k13 + k01*k12*k14 + k01*k13*k14 + k12*k13*k14 + k12*k13*k41 + k12*k14*k31 + k13*k14*k21] │ case = │ (ode = x1'(t) = -x1(t)*k01 - x1(t)*k21 - x1(t)*k31 - x1(t)*k41 + x2(t)*k12 + x3(t)*k13 + x4(t)*k14 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k12 │ x3'(t) = x1(t)*k31 - x3(t)*k13 │ x4'(t) = x1(t)*k41 - x4(t)*k14 │ y1(t) = x1(t) │ , ident_funcs = AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k12*k13 + k12*k14 + k13*k14, k01, k21 + k31 + k41, k12 + k13 + k14, k21*k31*k41, k12*k31 + k12*k41 + k13*k21 + k13*k41 + k14*k21 + k14*k31, k21*k31 + k21*k41 + k31*k41, k12*k13*k14]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 13 variables x1(t), x2(t), x3(t), x4(t), ..., k41 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.013028452 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.008233845 seconds [ Info: Dimensions of the Wronskians [8] [ Info: Ranks of the Wronskians computed in 2.0819e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000204089 [ Info: Selecting generators in 0.031458714 [ Info: Inclusion checked with probability 0.995 in 0.011360187 seconds [ Info: The search for identifiable functions concluded in 0.432219649 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k01, k21 + k31 + k41, k12 + k13 + k14, k12*k13 + k12*k14 + k13*k14, k01*k12 + k01*k13 + k01*k14 + k12*k13 + k12*k14 + k12*k31 + k12*k41 + k13*k14 + k13*k21 + k13*k41 + k14*k21 + k14*k31, k12*k13*k14, k01*k12*k13 + k01*k12*k14 + k01*k13*k14 + k12*k13*k14 + k12*k13*k41 + k12*k14*k31 + k13*k14*k21] │ case = │ (ode = x1'(t) = -x1(t)*k01 - x1(t)*k21 - x1(t)*k31 - x1(t)*k41 + x2(t)*k12 + x3(t)*k13 + x4(t)*k14 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k12 │ x3'(t) = x1(t)*k31 - x3(t)*k13 │ x4'(t) = x1(t)*k41 - x4(t)*k14 │ y1(t) = x1(t) │ , ident_funcs = AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k12*k13 + k12*k14 + k13*k14, k01, k21 + k31 + k41, k12 + k13 + k14, k21*k31*k41, k12*k31 + k12*k41 + k13*k21 + k13*k41 + k14*k21 + k14*k31, k21*k31 + k21*k41 + k31*k41, k12*k13*k14]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 13 variables x1(t), x2(t), x3(t), x4(t), ..., k41 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.010393355 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006222853 seconds [ Info: Dimensions of the Wronskians [8] [ Info: Ranks of the Wronskians computed in 1.96e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000169618 [ Info: Selecting generators in 0.029026236 [ Info: Inclusion checked with probability 0.995 in 0.01102955 seconds [ Info: The search for identifiable functions concluded in 0.411861433 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k01, k21 + k31 + k41, k12 + k13 + k14, k12*k13 + k12*k14 + k13*k14, k01*k12 + k01*k13 + k01*k14 + k12*k13 + k12*k14 + k12*k31 + k12*k41 + k13*k14 + k13*k21 + k13*k41 + k14*k21 + k14*k31, k12*k13*k14, k01*k12*k13 + k01*k12*k14 + k01*k13*k14 + k12*k13*k14 + k12*k13*k41 + k12*k14*k31 + k13*k14*k21] │ case = │ (ode = x1'(t) = -x1(t)*k01 - x1(t)*k21 - x1(t)*k31 - x1(t)*k41 + x2(t)*k12 + x3(t)*k13 + x4(t)*k14 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k12 │ x3'(t) = x1(t)*k31 - x3(t)*k13 │ x4'(t) = x1(t)*k41 - x4(t)*k14 │ y1(t) = x1(t) │ , ident_funcs = AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k12*k13 + k12*k14 + k13*k14, k01, k21 + k31 + k41, k12 + k13 + k14, k21*k31*k41, k12*k31 + k12*k41 + k13*k21 + k13*k41 + k14*k21 + k14*k31, k21*k31 + k21*k41 + k31*k41, k12*k13*k14]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 13 variables x1(t), x2(t), x3(t), x4(t), ..., k41 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.009844361 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005818627 seconds [ Info: Dimensions of the Wronskians [8] [ Info: Ranks of the Wronskians computed in 1.908e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 2.94526195 [ Info: Selecting generators in 0.745801524 [ Info: Inclusion checked with probability 0.995 in 0.014061042 seconds [ Info: The search for identifiable functions concluded in 4.059884418 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k01, k21 + k31 + k41, k12 + k13 + k14, k21*k31 + k21*k41 + k31*k41, k12*k13 + k12*k14 + k13*k14, k12*k31 + k12*k41 + k13*k21 + k13*k41 + k14*k21 + k14*k31, k21*k31*k41, k12*k13*k14] │ case = │ (ode = x1'(t) = -x1(t)*k01 - x1(t)*k21 - x1(t)*k31 - x1(t)*k41 + x2(t)*k12 + x3(t)*k13 + x4(t)*k14 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k12 │ x3'(t) = x1(t)*k31 - x3(t)*k13 │ x4'(t) = x1(t)*k41 - x4(t)*k14 │ y1(t) = x1(t) │ , ident_funcs = AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k12*k13 + k12*k14 + k13*k14, k01, k21 + k31 + k41, k12 + k13 + k14, k21*k31*k41, k12*k31 + k12*k41 + k13*k21 + k13*k41 + k14*k21 + k14*k31, k21*k31 + k21*k41 + k31*k41, k12*k13*k14]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 13 variables x1(t), x2(t), x3(t), x4(t), ..., k41 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y1(t), u(t), k01, k12, k13, k14, k21, k31, k41] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.014463229 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.008459023 seconds [ Info: Dimensions of the Wronskians [8] [ Info: Ranks of the Wronskians computed in 2.168e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.294397319 [ Info: Selecting generators in 0.053702373 [ Info: Inclusion checked with probability 0.995 in 0.012212899 seconds [ Info: The search for identifiable functions concluded in 0.76168468 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k01, k21 + k31 + k41, k12 + k13 + k14, k21*k31 + k21*k41 + k31*k41, k12*k13 + k12*k14 + k13*k14, k12*k31 + k12*k41 + k13*k21 + k13*k41 + k14*k21 + k14*k31, k21*k31*k41, k12*k13*k14] │ case = │ (ode = x1'(t) = -x1(t)*k01 - x1(t)*k21 - x1(t)*k31 - x1(t)*k41 + x2(t)*k12 + x3(t)*k13 + x4(t)*k14 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k12 │ x3'(t) = x1(t)*k31 - x3(t)*k13 │ x4'(t) = x1(t)*k41 - x4(t)*k14 │ y1(t) = x1(t) │ , ident_funcs = AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k12*k13 + k12*k14 + k13*k14, k01, k21 + k31 + k41, k12 + k13 + k14, k21*k31*k41, k12*k31 + k12*k41 + k13*k21 + k13*k41 + k14*k21 + k14*k31, k21*k31 + k21*k41 + k31*k41, k12*k13*k14]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 13 variables x1(t), x2(t), x3(t), x4(t), ..., k41 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y1(t), u(t), k01, k12, k13, k14, k21, k31, k41] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.010650783 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006295953 seconds [ Info: Dimensions of the Wronskians [8] [ Info: Ranks of the Wronskians computed in 2.157e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.911856897 [ Info: Selecting generators in 0.071772678 [ Info: Inclusion checked with probability 0.995 in 0.012572996 seconds [ Info: The search for identifiable functions concluded in 1.383947334 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k01, k21 + k31 + k41, k12 + k13 + k14, k21*k31 + k21*k41 + k31*k41, k12*k13 + k12*k14 + k13*k14, k12*k31 + k12*k41 + k13*k21 + k13*k41 + k14*k21 + k14*k31, k21*k31*k41, k12*k13*k14] │ case = │ (ode = x1'(t) = -x1(t)*k01 - x1(t)*k21 - x1(t)*k31 - x1(t)*k41 + x2(t)*k12 + x3(t)*k13 + x4(t)*k14 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k12 │ x3'(t) = x1(t)*k31 - x3(t)*k13 │ x4'(t) = x1(t)*k41 - x4(t)*k14 │ y1(t) = x1(t) │ , ident_funcs = AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k12*k13 + k12*k14 + k13*k14, k01, k21 + k31 + k41, k12 + k13 + k14, k21*k31*k41, k12*k31 + k12*k41 + k13*k21 + k13*k41 + k14*k21 + k14*k31, k21*k31 + k21*k41 + k31*k41, k12*k13*k14]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 13 variables x1(t), x2(t), x3(t), x4(t), ..., k41 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y1(t), u(t), k01, k12, k13, k14, k21, k31, k41] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.023726895 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.015427269 seconds [ Info: Dimensions of the Wronskians [3, 36] [ Info: Ranks of the Wronskians computed in 8.6739e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000119499 [ Info: Selecting generators in 0.008606552 [ Info: Inclusion checked with probability 0.995 in 0.013018712 seconds [ Info: The search for identifiable functions concluded in 0.105149126 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k7, k6, k5, k10 + 2*k8, k9^2, k10//k9] │ case = │ (ode = x5'(t) = (x5(t)*x4(t)*k5 - x5(t)*x4(t)*k7 - x5(t)*k6*k7 + x4(t)*x6(t)*k5 + x4(t)*k5*k8)//(x5(t)*x4(t) + x5(t)*k6 + x4(t)*x6(t) + x4(t)*k8 + x6(t)*k6 + k6*k8) │ x7'(t) = (-x6(t)^2*k9 + x6(t)*k10*k9)//k10 │ x4'(t) = (-x4(t)*k5)//(x4(t) + k6) │ x6'(t) = (x5(t)*x6(t)^2*k9 - x5(t)*x6(t)*k10*k9 + x5(t)*k10*k7 + x6(t)^3*k9 - x6(t)^2*k10*k9 + x6(t)^2*k8*k9 - x6(t)*k10*k8*k9)//(x5(t)*k10 + x6(t)*k10 + k10*k8) │ y1(t) = x4(t) │ y2(t) = x5(t) │ , ident_funcs = Nemo.QQMPolyRingElem[k7, k5, k6, k10*k9, k9^2, k10 + 2*k8]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 12 variables x5(t), x7(t), x4(t), x6(t), ..., k9 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.023028361 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.014807135 seconds [ Info: Dimensions of the Wronskians [3, 36] [ Info: Ranks of the Wronskians computed in 8.3969e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000112059 [ Info: Selecting generators in 0.009346295 [ Info: Inclusion checked with probability 0.995 in 0.014053003 seconds [ Info: The search for identifiable functions concluded in 0.103931357 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k7, k6, k5, k10 + 2*k8, k9^2, k10//k9] │ case = │ (ode = x5'(t) = (x5(t)*x4(t)*k5 - x5(t)*x4(t)*k7 - x5(t)*k6*k7 + x4(t)*x6(t)*k5 + x4(t)*k5*k8)//(x5(t)*x4(t) + x5(t)*k6 + x4(t)*x6(t) + x4(t)*k8 + x6(t)*k6 + k6*k8) │ x7'(t) = (-x6(t)^2*k9 + x6(t)*k10*k9)//k10 │ x4'(t) = (-x4(t)*k5)//(x4(t) + k6) │ x6'(t) = (x5(t)*x6(t)^2*k9 - x5(t)*x6(t)*k10*k9 + x5(t)*k10*k7 + x6(t)^3*k9 - x6(t)^2*k10*k9 + x6(t)^2*k8*k9 - x6(t)*k10*k8*k9)//(x5(t)*k10 + x6(t)*k10 + k10*k8) │ y1(t) = x4(t) │ y2(t) = x5(t) │ , ident_funcs = Nemo.QQMPolyRingElem[k7, k5, k6, k10*k9, k9^2, k10 + 2*k8]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 12 variables x5(t), x7(t), x4(t), x6(t), ..., k9 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.021678483 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.013790465 seconds [ Info: Dimensions of the Wronskians [3, 36] [ Info: Ranks of the Wronskians computed in 8.4519e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000101349 [ Info: Selecting generators in 0.008659961 [ Info: Inclusion checked with probability 0.995 in 0.013471978 seconds [ Info: The search for identifiable functions concluded in 0.099067911 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k7, k6, k5, k10 + 2*k8, k9^2, k10//k9] │ case = │ (ode = x5'(t) = (x5(t)*x4(t)*k5 - x5(t)*x4(t)*k7 - x5(t)*k6*k7 + x4(t)*x6(t)*k5 + x4(t)*k5*k8)//(x5(t)*x4(t) + x5(t)*k6 + x4(t)*x6(t) + x4(t)*k8 + x6(t)*k6 + k6*k8) │ x7'(t) = (-x6(t)^2*k9 + x6(t)*k10*k9)//k10 │ x4'(t) = (-x4(t)*k5)//(x4(t) + k6) │ x6'(t) = (x5(t)*x6(t)^2*k9 - x5(t)*x6(t)*k10*k9 + x5(t)*k10*k7 + x6(t)^3*k9 - x6(t)^2*k10*k9 + x6(t)^2*k8*k9 - x6(t)*k10*k8*k9)//(x5(t)*k10 + x6(t)*k10 + k10*k8) │ y1(t) = x4(t) │ y2(t) = x5(t) │ , ident_funcs = Nemo.QQMPolyRingElem[k7, k5, k6, k10*k9, k9^2, k10 + 2*k8]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 12 variables x5(t), x7(t), x4(t), x6(t), ..., k9 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.020729552 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.01428305 seconds [ Info: Dimensions of the Wronskians [3, 36] [ Info: Ranks of the Wronskians computed in 8.4999e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.046996624 [ Info: Selecting generators in 0.014456349 [ Info: Inclusion checked with probability 0.995 in 0.013149991 seconds [ Info: The search for identifiable functions concluded in 0.150526955 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k7, k6, k5, k10 + 2*k8, k9^2, k10*k9] │ case = │ (ode = x5'(t) = (x5(t)*x4(t)*k5 - x5(t)*x4(t)*k7 - x5(t)*k6*k7 + x4(t)*x6(t)*k5 + x4(t)*k5*k8)//(x5(t)*x4(t) + x5(t)*k6 + x4(t)*x6(t) + x4(t)*k8 + x6(t)*k6 + k6*k8) │ x7'(t) = (-x6(t)^2*k9 + x6(t)*k10*k9)//k10 │ x4'(t) = (-x4(t)*k5)//(x4(t) + k6) │ x6'(t) = (x5(t)*x6(t)^2*k9 - x5(t)*x6(t)*k10*k9 + x5(t)*k10*k7 + x6(t)^3*k9 - x6(t)^2*k10*k9 + x6(t)^2*k8*k9 - x6(t)*k10*k8*k9)//(x5(t)*k10 + x6(t)*k10 + k10*k8) │ y1(t) = x4(t) │ y2(t) = x5(t) │ , ident_funcs = Nemo.QQMPolyRingElem[k7, k5, k6, k10*k9, k9^2, k10 + 2*k8]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 12 variables x5(t), x7(t), x4(t), x6(t), ..., k9 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x5(t), x7(t), x4(t), x6(t), y1(t), y2(t), k10, k5, k6, k7, k8, k9] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.019928279 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.013390928 seconds [ Info: Dimensions of the Wronskians [3, 36] [ Info: Ranks of the Wronskians computed in 8.5679e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.044347067 [ Info: Selecting generators in 0.012709634 [ Info: Inclusion checked with probability 0.995 in 0.012063841 seconds [ Info: The search for identifiable functions concluded in 0.141276429 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k7, k6, k5, k10 + 2*k8, k9^2, k10*k9] │ case = │ (ode = x5'(t) = (x5(t)*x4(t)*k5 - x5(t)*x4(t)*k7 - x5(t)*k6*k7 + x4(t)*x6(t)*k5 + x4(t)*k5*k8)//(x5(t)*x4(t) + x5(t)*k6 + x4(t)*x6(t) + x4(t)*k8 + x6(t)*k6 + k6*k8) │ x7'(t) = (-x6(t)^2*k9 + x6(t)*k10*k9)//k10 │ x4'(t) = (-x4(t)*k5)//(x4(t) + k6) │ x6'(t) = (x5(t)*x6(t)^2*k9 - x5(t)*x6(t)*k10*k9 + x5(t)*k10*k7 + x6(t)^3*k9 - x6(t)^2*k10*k9 + x6(t)^2*k8*k9 - x6(t)*k10*k8*k9)//(x5(t)*k10 + x6(t)*k10 + k10*k8) │ y1(t) = x4(t) │ y2(t) = x5(t) │ , ident_funcs = Nemo.QQMPolyRingElem[k7, k5, k6, k10*k9, k9^2, k10 + 2*k8]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 12 variables x5(t), x7(t), x4(t), x6(t), ..., k9 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x5(t), x7(t), x4(t), x6(t), y1(t), y2(t), k10, k5, k6, k7, k8, k9] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.019296415 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.012969973 seconds [ Info: Dimensions of the Wronskians [3, 36] [ Info: Ranks of the Wronskians computed in 7.919e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.042467895 [ Info: Selecting generators in 0.013315229 [ Info: Inclusion checked with probability 0.995 in 0.012386008 seconds [ Info: The search for identifiable functions concluded in 0.137301474 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k7, k6, k5, k10 + 2*k8, k9^2, k10*k9] │ case = │ (ode = x5'(t) = (x5(t)*x4(t)*k5 - x5(t)*x4(t)*k7 - x5(t)*k6*k7 + x4(t)*x6(t)*k5 + x4(t)*k5*k8)//(x5(t)*x4(t) + x5(t)*k6 + x4(t)*x6(t) + x4(t)*k8 + x6(t)*k6 + k6*k8) │ x7'(t) = (-x6(t)^2*k9 + x6(t)*k10*k9)//k10 │ x4'(t) = (-x4(t)*k5)//(x4(t) + k6) │ x6'(t) = (x5(t)*x6(t)^2*k9 - x5(t)*x6(t)*k10*k9 + x5(t)*k10*k7 + x6(t)^3*k9 - x6(t)^2*k10*k9 + x6(t)^2*k8*k9 - x6(t)*k10*k8*k9)//(x5(t)*k10 + x6(t)*k10 + k10*k8) │ y1(t) = x4(t) │ y2(t) = x5(t) │ , ident_funcs = Nemo.QQMPolyRingElem[k7, k5, k6, k10*k9, k9^2, k10 + 2*k8]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 12 variables x5(t), x7(t), x4(t), x6(t), ..., k9 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x5(t), x7(t), x4(t), x6(t), y1(t), y2(t), k10, k5, k6, k7, k8, k9] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.009824841 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.012693055 seconds [ Info: Dimensions of the Wronskians [32] [ Info: Ranks of the Wronskians computed in 6.4189e-5 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:00 Points: 101   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.000137689 [ Info: Selecting generators in 0.0738484 [ Info: Inclusion checked with probability 0.995 in 0.016229972 seconds [ Info: The search for identifiable functions concluded in 1.28181779 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[s, b, Ninv, a + g, a*b*g + a*b*s + b*e*g*s, (a*e)//(a + e*s - s)] │ case = │ (ode = S'(t) = -S(t)*In(t)*Ninv*b - S(t)*u(t)*Ninv │ In'(t) = -In(t)*g + L(t)*a + Q(t)*s │ L'(t) = S(t)*In(t)*Ninv*b - L(t)*a │ Q'(t) = -In(t)*e*g + In(t)*g - Q(t)*s │ y(t) = In(t)*Ninv │ , ident_funcs = Nemo.QQMPolyRingElem[a*g + e*g*s - g*s, b, a + g, a*e*g, s, Ninv]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 12 variables S(t), In(t), L(t), Q(t), ..., s │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.010065309 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.013822184 seconds [ Info: Dimensions of the Wronskians [32] [ Info: Ranks of the Wronskians computed in 6.5429e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000141339 [ Info: Selecting generators in 0.070871617 [ Info: Inclusion checked with probability 0.995 in 0.014914844 seconds [ Info: The search for identifiable functions concluded in 0.463245247 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[s, b, Ninv, a + g, a*b*g + a*b*s + b*e*g*s, (a*e)//(a + e*s - s)] │ case = │ (ode = S'(t) = -S(t)*In(t)*Ninv*b - S(t)*u(t)*Ninv │ In'(t) = -In(t)*g + L(t)*a + Q(t)*s │ L'(t) = S(t)*In(t)*Ninv*b - L(t)*a │ Q'(t) = -In(t)*e*g + In(t)*g - Q(t)*s │ y(t) = In(t)*Ninv │ , ident_funcs = Nemo.QQMPolyRingElem[a*g + e*g*s - g*s, b, a + g, a*e*g, s, Ninv]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 12 variables S(t), In(t), L(t), Q(t), ..., s │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.009569703 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.013375779 seconds [ Info: Dimensions of the Wronskians [32] [ Info: Ranks of the Wronskians computed in 6.435e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000262787 [ Info: Selecting generators in 0.080249932 [ Info: Inclusion checked with probability 0.995 in 0.017605541 seconds [ Info: The search for identifiable functions concluded in 0.49156735 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[s, b, Ninv, a + g, a*b*g + a*b*s + b*e*g*s, (a*e)//(a + e*s - s)] │ case = │ (ode = S'(t) = -S(t)*In(t)*Ninv*b - S(t)*u(t)*Ninv │ In'(t) = -In(t)*g + L(t)*a + Q(t)*s │ L'(t) = S(t)*In(t)*Ninv*b - L(t)*a │ Q'(t) = -In(t)*e*g + In(t)*g - Q(t)*s │ y(t) = In(t)*Ninv │ , ident_funcs = Nemo.QQMPolyRingElem[a*g + e*g*s - g*s, b, a + g, a*e*g, s, Ninv]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 12 variables S(t), In(t), L(t), Q(t), ..., s │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.010441096 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.014404169 seconds [ Info: Dimensions of the Wronskians [32] [ Info: Ranks of the Wronskians computed in 6.693e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.096142898 [ Info: Selecting generators in 0.085051868 [ Info: Inclusion checked with probability 0.995 in 0.015919046 seconds [ Info: The search for identifiable functions concluded in 1.730017832 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[s, b, Ninv, a + g, a*e*g, a*g + e*g*s - g*s] │ case = │ (ode = S'(t) = -S(t)*In(t)*Ninv*b - S(t)*u(t)*Ninv │ In'(t) = -In(t)*g + L(t)*a + Q(t)*s │ L'(t) = S(t)*In(t)*Ninv*b - L(t)*a │ Q'(t) = -In(t)*e*g + In(t)*g - Q(t)*s │ y(t) = In(t)*Ninv │ , ident_funcs = Nemo.QQMPolyRingElem[a*g + e*g*s - g*s, b, a + g, a*e*g, s, Ninv]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 12 variables S(t), In(t), L(t), Q(t), ..., s │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[S(t), In(t), L(t), Q(t), y(t), u(t), Ninv, a, b, e, g, s] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.011667564 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.01537854 seconds [ Info: Dimensions of the Wronskians [32] [ Info: Ranks of the Wronskians computed in 6.641e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.092420901 [ Info: Selecting generators in 0.071410172 [ Info: Inclusion checked with probability 0.995 in 0.0143087 seconds [ Info: The search for identifiable functions concluded in 0.582981389 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[s, b, Ninv, a + g, a*e*g, a*g + e*g*s - g*s] │ case = │ (ode = S'(t) = -S(t)*In(t)*Ninv*b - S(t)*u(t)*Ninv │ In'(t) = -In(t)*g + L(t)*a + Q(t)*s │ L'(t) = S(t)*In(t)*Ninv*b - L(t)*a │ Q'(t) = -In(t)*e*g + In(t)*g - Q(t)*s │ y(t) = In(t)*Ninv │ , ident_funcs = Nemo.QQMPolyRingElem[a*g + e*g*s - g*s, b, a + g, a*e*g, s, Ninv]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 12 variables S(t), In(t), L(t), Q(t), ..., s │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[S(t), In(t), L(t), Q(t), y(t), u(t), Ninv, a, b, e, g, s] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.010176567 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.013534437 seconds [ Info: Dimensions of the Wronskians [32] [ Info: Ranks of the Wronskians computed in 7.0469e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.358639581 [ Info: Selecting generators in 0.085796351 [ Info: Inclusion checked with probability 0.995 in 0.016875467 seconds [ Info: The search for identifiable functions concluded in 1.85798706 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[s, b, Ninv, a + g, a*e*g, a*g + e*g*s - g*s] │ case = │ (ode = S'(t) = -S(t)*In(t)*Ninv*b - S(t)*u(t)*Ninv │ In'(t) = -In(t)*g + L(t)*a + Q(t)*s │ L'(t) = S(t)*In(t)*Ninv*b - L(t)*a │ Q'(t) = -In(t)*e*g + In(t)*g - Q(t)*s │ y(t) = In(t)*Ninv │ , ident_funcs = Nemo.QQMPolyRingElem[a*g + e*g*s - g*s, b, a + g, a*e*g, s, Ninv]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 12 variables S(t), In(t), L(t), Q(t), ..., s │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[S(t), In(t), L(t), Q(t), y(t), u(t), Ninv, a, b, e, g, s] [ Info: Computing IO-equations [ Info: Computed IO-equations in 3.775556976 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.075776122 seconds [ Info: Dimensions of the Wronskians [34, 2] [ Info: Ranks of the Wronskians computed in 9.8199e-5 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 10   ⌝ # Computing specializations.. Time: 0:00:00 Points: 17   ⌟ # Computing specializations.. Time: 0:00:01 Points: 26   ⌞ # Computing specializations.. Time: 0:00:01 Points: 34   ⌜ # Computing specializations.. Time: 0:00:01 Points: 43   ⌝ # Computing specializations.. Time: 0:00:02 Points: 52   ⌟ # Computing specializations.. Time: 0:00:02 Points: 61   ⌞ # Computing specializations.. Time: 0:00:02 Points: 70   ⌜ # Computing specializations.. Time: 0:00:03 Points: 79   ⌝ # Computing specializations.. Time: 0:00:03 Points: 88   ⌟ # Computing specializations.. Time: 0:00:04 Points: 96   ✓ # Computing specializations.. Time: 0:00:04 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ⌝ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 10   ⌝ # Computing specializations.. Time: 0:00:01 Points: 17   ⌟ # Computing specializations.. Time: 0:00:01 Points: 26   ⌞ # Computing specializations.. Time: 0:00:01 Points: 35   ⌜ # Computing specializations.. Time: 0:00:02 Points: 44   ⌝ # Computing specializations.. Time: 0:00:02 Points: 53   ⌟ # Computing specializations.. Time: 0:00:03 Points: 61   ⌞ # Computing specializations.. Time: 0:00:03 Points: 70   ⌜ # Computing specializations.. Time: 0:00:03 Points: 79   ⌝ # Computing specializations.. Time: 0:00:04 Points: 87   ⌟ # Computing specializations.. Time: 0:00:04 Points: 96   ⌞ # Computing specializations.. Time: 0:00:04 Points: 105   ⌜ # Computing specializations.. Time: 0:00:05 Points: 113   ⌝ # Computing specializations.. Time: 0:00:05 Points: 122   ⌟ # Computing specializations.. Time: 0:00:06 Points: 130   ⌞ # Computing specializations.. Time: 0:00:06 Points: 139   ⌜ # Computing specializations.. Time: 0:00:06 Points: 146   ⌝ # Computing specializations.. Time: 0:00:07 Points: 155   ⌟ # Computing specializations.. Time: 0:00:07 Points: 163   ⌞ # Computing specializations.. Time: 0:00:07 Points: 172   ⌜ # Computing specializations.. Time: 0:00:08 Points: 179   ⌝ # Computing specializations.. Time: 0:00:08 Points: 188   ⌟ # Computing specializations.. Time: 0:00:08 Points: 195   ⌞ # Computing specializations.. Time: 0:00:09 Points: 204   ⌜ # Computing specializations.. Time: 0:00:09 Points: 212   ⌝ # Computing specializations.. Time: 0:00:10 Points: 221   ⌟ # Computing specializations.. Time: 0:00:10 Points: 228   ⌞ # Computing specializations.. Time: 0:00:10 Points: 237   ⌜ # Computing specializations.. Time: 0:00:11 Points: 246   ⌝ # Computing specializations.. Time: 0:00:11 Points: 255   ⌟ # Computing specializations.. Time: 0:00:12 Points: 264   ⌞ # Computing specializations.. Time: 0:00:12 Points: 273   ⌜ # Computing specializations.. Time: 0:00:12 Points: 282   ⌝ # Computing specializations.. Time: 0:00:13 Points: 291   ⌟ # Computing specializations.. Time: 0:00:13 Points: 299   ⌞ # Computing specializations.. Time: 0:00:14 Points: 309   ⌜ # Computing specializations.. Time: 0:00:14 Points: 318   ⌝ # Computing specializations.. Time: 0:00:15 Points: 327   ⌟ # Computing specializations.. Time: 0:00:15 Points: 335   ⌞ # Computing specializations.. Time: 0:00:15 Points: 346   ⌜ # Computing specializations.. Time: 0:00:16 Points: 355   ⌝ # Computing specializations.. Time: 0:00:16 Points: 368   ⌟ # Computing specializations.. Time: 0:00:16 Points: 379   ⌞ # Computing specializations.. Time: 0:00:17 Points: 391   ⌜ # Computing specializations.. Time: 0:00:17 Points: 403   ⌝ # Computing specializations.. Time: 0:00:18 Points: 413   ⌟ # Computing specializations.. Time: 0:00:18 Points: 420   ⌞ # Computing specializations.. Time: 0:00:18 Points: 433   ⌜ # Computing specializations.. Time: 0:00:19 Points: 446   ⌝ # Computing specializations.. Time: 0:00:20 Points: 458   ⌟ # Computing specializations.. Time: 0:00:20 Points: 471   ⌞ # Computing specializations.. Time: 0:00:20 Points: 484   ⌜ # Computing specializations.. Time: 0:00:21 Points: 495   ⌝ # Computing specializations.. Time: 0:00:21 Points: 508   ⌟ # Computing specializations.. Time: 0:00:21 Points: 520   ⌞ # Computing specializations.. Time: 0:00:22 Points: 532   ⌜ # Computing specializations.. Time: 0:00:22 Points: 544   ⌝ # Computing specializations.. Time: 0:00:22 Points: 554   ⌟ # Computing specializations.. Time: 0:00:23 Points: 565   ⌞ # Computing specializations.. Time: 0:00:23 Points: 578   ⌜ # Computing specializations.. Time: 0:00:24 Points: 590   ⌝ # Computing specializations.. Time: 0:00:24 Points: 599   ⌟ # Computing specializations.. Time: 0:00:24 Points: 612   ⌞ # Computing specializations.. Time: 0:00:25 Points: 624   ⌜ # Computing specializations.. Time: 0:00:25 Points: 633   ✓ # Computing specializations.. Time: 0:00:25 [ Info: Search for polynomial generators concluded in 0.000232568 [ Info: Selecting generators in 0.034599525 [ Info: Inclusion checked with probability 0.995 in 7.414741361 seconds [ Info: The search for identifiable functions concluded in 57.88633287 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[T, Dd, (d*rR - dr*r)//(d - dr), (a*r - a*rR + d*e + d*g - dr*e - dr*g)//(d - dr), (T*a + T*d + T*dr + e + g - r - rR)//T, (a^2 + 2*a*d + d^2 + dr^2)//(a*dr + d*dr), (a*dr*r - a*dr*rR + d^2*g + d*dr*e - d*dr*g - dr^2*e)//(a*d - a*dr + d^2 - dr^2)] │ case = │ (ode = S'(t) = -S(t)*W(t)*a - S(t)*W(t)*d - S(t)*e + S(t)*r + R(t)*g │ R'(t) = S(t)*W(t)*a + S(t)*e - R(t)*W(t)*dr - R(t)*g + R(t)*rR │ W'(t) = -W(t)*Dd + Dd*T │ y1(t) = S(t) + R(t) │ y2(t) = T │ , ident_funcs = AbstractAlgebra.RingElem[T, Dd, T*a + T*d + T*dr + e + g - r - rR, (d*rR - dr*r)//(d - dr), (a^2 + 2*a*d + d^2 + dr^2)//(a*dr + d*dr), (a*r - a*rR + d*e + d*g - dr*e - dr*g)//(d - dr), (a*dr*r - a*dr*rR + d^2*g + d*dr*e - d*dr*g - dr^2*e)//(a*d - a*dr + d^2 - dr^2)]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 14 variables S(t), R(t), W(t), y1(t), ..., rR │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 2.603239081 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.073033956 seconds [ Info: Dimensions of the Wronskians [34, 2] [ Info: Ranks of the Wronskians computed in 8.6419e-5 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 10   ⌝ # Computing specializations.. Time: 0:00:01 Points: 17   ⌟ # Computing specializations.. Time: 0:00:01 Points: 27   ⌞ # Computing specializations.. Time: 0:00:01 Points: 37   ⌜ # Computing specializations.. Time: 0:00:02 Points: 46   ⌝ # Computing specializations.. Time: 0:00:02 Points: 56   ⌟ # Computing specializations.. Time: 0:00:02 Points: 66   ⌞ # Computing specializations.. Time: 0:00:03 Points: 75   ⌜ # Computing specializations.. Time: 0:00:03 Points: 84   ⌝ # Computing specializations.. Time: 0:00:04 Points: 93   ✓ # Computing specializations.. Time: 0:00:04 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ⌝ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 8   ⌝ # Computing specializations.. Time: 0:00:00 Points: 20   ⌟ # Computing specializations.. Time: 0:00:01 Points: 31   ⌞ # Computing specializations.. Time: 0:00:01 Points: 39   ⌜ # Computing specializations.. Time: 0:00:01 Points: 50   ⌝ # Computing specializations.. Time: 0:00:02 Points: 60   ⌟ # Computing specializations.. Time: 0:00:02 Points: 69   ⌞ # Computing specializations.. Time: 0:00:03 Points: 78   ⌜ # Computing specializations.. Time: 0:00:03 Points: 88   ⌝ # Computing specializations.. Time: 0:00:04 Points: 97   ⌟ # Computing specializations.. Time: 0:00:04 Points: 106   ⌞ # Computing specializations.. Time: 0:00:05 Points: 115   ⌜ # Computing specializations.. Time: 0:00:05 Points: 124   ⌝ # Computing specializations.. Time: 0:00:05 Points: 134   ⌟ # Computing specializations.. Time: 0:00:06 Points: 142   ⌞ # Computing specializations.. Time: 0:00:06 Points: 152   ⌜ # Computing specializations.. Time: 0:00:06 Points: 161   ⌝ # Computing specializations.. Time: 0:00:07 Points: 168   ⌟ # Computing specializations.. Time: 0:00:07 Points: 177   ⌞ # Computing specializations.. Time: 0:00:08 Points: 186   ⌜ # Computing specializations.. Time: 0:00:08 Points: 194   ⌝ # Computing specializations.. Time: 0:00:08 Points: 203   ⌟ # Computing specializations.. Time: 0:00:09 Points: 212   ⌞ # Computing specializations.. Time: 0:00:09 Points: 222   ⌜ # Computing specializations.. Time: 0:00:10 Points: 231   ⌝ # Computing specializations.. Time: 0:00:10 Points: 238   ⌟ # Computing specializations.. Time: 0:00:10 Points: 247   ⌞ # Computing specializations.. Time: 0:00:11 Points: 256   ⌜ # Computing specializations.. Time: 0:00:11 Points: 265   ⌝ # Computing specializations.. Time: 0:00:12 Points: 274   ⌟ # Computing specializations.. Time: 0:00:12 Points: 283   ⌞ # Computing specializations.. Time: 0:00:12 Points: 290   ⌜ # Computing specializations.. Time: 0:00:13 Points: 299   ⌝ # Computing specializations.. Time: 0:00:13 Points: 307   ⌟ # Computing specializations.. Time: 0:00:13 Points: 316   ⌞ # Computing specializations.. Time: 0:00:14 Points: 325   ⌜ # Computing specializations.. Time: 0:00:14 Points: 335   ⌝ # Computing specializations.. Time: 0:00:15 Points: 344   ⌟ # Computing specializations.. Time: 0:00:15 Points: 354   ⌞ # Computing specializations.. Time: 0:00:16 Points: 363   ⌜ # Computing specializations.. Time: 0:00:16 Points: 372   ⌝ # Computing specializations.. Time: 0:00:16 Points: 382   ⌟ # Computing specializations.. Time: 0:00:17 Points: 390   ⌞ # Computing specializations.. Time: 0:00:17 Points: 400   ⌜ # Computing specializations.. Time: 0:00:18 Points: 409   ⌝ # Computing specializations.. Time: 0:00:18 Points: 418   ⌟ # Computing specializations.. Time: 0:00:18 Points: 428   ⌞ # Computing specializations.. Time: 0:00:19 Points: 437   ⌜ # Computing specializations.. Time: 0:00:19 Points: 445   ⌝ # Computing specializations.. Time: 0:00:20 Points: 454   ⌟ # Computing specializations.. Time: 0:00:20 Points: 463   ⌞ # Computing specializations.. Time: 0:00:20 Points: 472   ⌜ # Computing specializations.. Time: 0:00:21 Points: 481   ⌝ # Computing specializations.. Time: 0:00:21 Points: 492   ⌟ # Computing specializations.. Time: 0:00:22 Points: 503   ⌞ # Computing specializations.. Time: 0:00:22 Points: 512   ⌜ # Computing specializations.. Time: 0:00:22 Points: 521   ⌝ # Computing specializations.. Time: 0:00:23 Points: 530   ⌟ # Computing specializations.. Time: 0:00:23 Points: 539   ⌞ # Computing specializations.. Time: 0:00:23 Points: 548   ⌜ # Computing specializations.. Time: 0:00:24 Points: 557   ⌝ # Computing specializations.. Time: 0:00:24 Points: 566   ⌟ # Computing specializations.. Time: 0:00:25 Points: 575   ⌞ # Computing specializations.. Time: 0:00:25 Points: 587   ⌜ # Computing specializations.. Time: 0:00:26 Points: 600   ⌝ # Computing specializations.. Time: 0:00:26 Points: 612   ⌟ # Computing specializations.. Time: 0:00:26 Points: 621   ⌞ # Computing specializations.. Time: 0:00:27 Points: 630   ⌜ # Computing specializations.. Time: 0:00:27 Points: 640   ✓ # Computing specializations.. Time: 0:00:28 [ Info: Search for polynomial generators concluded in 0.000401447 [ Info: Selecting generators in 0.048667677 [ Info: Inclusion checked with probability 0.995 in 8.197017646 seconds [ Info: The search for identifiable functions concluded in 59.080956874 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[T, Dd, (d*rR - dr*r)//(d - dr), (a*r - a*rR + d*e + d*g - dr*e - dr*g)//(d - dr), (T*a + T*d + T*dr + e + g - r - rR)//T, (a^2 + 2*a*d + d^2 + dr^2)//(a*dr + d*dr), (a*dr*r - a*dr*rR + d^2*g + d*dr*e - d*dr*g - dr^2*e)//(a*d - a*dr + d^2 - dr^2)] │ case = │ (ode = S'(t) = -S(t)*W(t)*a - S(t)*W(t)*d - S(t)*e + S(t)*r + R(t)*g │ R'(t) = S(t)*W(t)*a + S(t)*e - R(t)*W(t)*dr - R(t)*g + R(t)*rR │ W'(t) = -W(t)*Dd + Dd*T │ y1(t) = S(t) + R(t) │ y2(t) = T │ , ident_funcs = AbstractAlgebra.RingElem[T, Dd, T*a + T*d + T*dr + e + g - r - rR, (d*rR - dr*r)//(d - dr), (a^2 + 2*a*d + d^2 + dr^2)//(a*dr + d*dr), (a*r - a*rR + d*e + d*g - dr*e - dr*g)//(d - dr), (a*dr*r - a*dr*rR + d^2*g + d*dr*e - d*dr*g - dr^2*e)//(a*d - a*dr + d^2 - dr^2)]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 14 variables S(t), R(t), W(t), y1(t), ..., rR │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 3.206015399 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.087384434 seconds [ Info: Dimensions of the Wronskians [34, 2] [ Info: Ranks of the Wronskians computed in 9.2949e-5 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 9   ⌝ # Computing specializations.. Time: 0:00:00 Points: 15   ⌟ # Computing specializations.. Time: 0:00:00 Points: 23   ⌞ # Computing specializations.. Time: 0:00:01 Points: 31   ⌜ # Computing specializations.. Time: 0:00:01 Points: 39   ⌝ # Computing specializations.. Time: 0:00:02 Points: 48   ⌟ # Computing specializations.. Time: 0:00:02 Points: 55   ⌞ # Computing specializations.. Time: 0:00:02 Points: 63   ⌜ # Computing specializations.. Time: 0:00:03 Points: 71   ⌝ # Computing specializations.. Time: 0:00:03 Points: 77   ⌟ # Computing specializations.. Time: 0:00:03 Points: 85   ⌞ # Computing specializations.. Time: 0:00:04 Points: 93   ✓ # Computing specializations.. Time: 0:00:04 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ⌝ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 9   ⌝ # Computing specializations.. Time: 0:00:01 Points: 18   ⌟ # Computing specializations.. Time: 0:00:01 Points: 26   ⌞ # Computing specializations.. Time: 0:00:01 Points: 34   ⌜ # Computing specializations.. Time: 0:00:02 Points: 42   ⌝ # Computing specializations.. Time: 0:00:02 Points: 50   ⌟ # Computing specializations.. Time: 0:00:03 Points: 58   ⌞ # Computing specializations.. Time: 0:00:03 Points: 66   ⌜ # Computing specializations.. Time: 0:00:03 Points: 74   ⌝ # Computing specializations.. Time: 0:00:04 Points: 81   ⌟ # Computing specializations.. Time: 0:00:04 Points: 90   ⌞ # Computing specializations.. Time: 0:00:05 Points: 97   ⌜ # Computing specializations.. Time: 0:00:05 Points: 106   ⌝ # Computing specializations.. Time: 0:00:05 Points: 114   ⌟ # Computing specializations.. Time: 0:00:06 Points: 120   ⌞ # Computing specializations.. Time: 0:00:06 Points: 128   ⌜ # Computing specializations.. Time: 0:00:06 Points: 136   ⌝ # Computing specializations.. Time: 0:00:07 Points: 144   ⌟ # Computing specializations.. Time: 0:00:07 Points: 152   ⌞ # Computing specializations.. Time: 0:00:08 Points: 160   ⌜ # Computing specializations.. Time: 0:00:08 Points: 167   ⌝ # Computing specializations.. Time: 0:00:08 Points: 175   ⌟ # Computing specializations.. Time: 0:00:09 Points: 184   ⌞ # Computing specializations.. Time: 0:00:09 Points: 191   ⌜ # Computing specializations.. Time: 0:00:10 Points: 200   ⌝ # Computing specializations.. Time: 0:00:10 Points: 207   ⌟ # Computing specializations.. Time: 0:00:10 Points: 215   ⌞ # Computing specializations.. Time: 0:00:11 Points: 223   ⌜ # Computing specializations.. Time: 0:00:11 Points: 231   ⌝ # Computing specializations.. Time: 0:00:11 Points: 239   ⌟ # Computing specializations.. Time: 0:00:12 Points: 247   ⌞ # Computing specializations.. Time: 0:00:12 Points: 255   ⌜ # Computing specializations.. Time: 0:00:12 Points: 264   ⌝ # Computing specializations.. Time: 0:00:13 Points: 272   ⌟ # Computing specializations.. Time: 0:00:14 Points: 280   ⌞ # Computing specializations.. Time: 0:00:14 Points: 288   ⌜ # Computing specializations.. Time: 0:00:14 Points: 296   ⌝ # Computing specializations.. Time: 0:00:15 Points: 305   ⌟ # Computing specializations.. Time: 0:00:15 Points: 312   ⌞ # Computing specializations.. Time: 0:00:16 Points: 321   ⌜ # Computing specializations.. Time: 0:00:16 Points: 329   ⌝ # Computing specializations.. Time: 0:00:16 Points: 337   ⌟ # Computing specializations.. Time: 0:00:17 Points: 346   ⌞ # Computing specializations.. Time: 0:00:17 Points: 354   ⌜ # Computing specializations.. Time: 0:00:18 Points: 362   ⌝ # Computing specializations.. Time: 0:00:18 Points: 370   ⌟ # Computing specializations.. Time: 0:00:18 Points: 378   ⌞ # Computing specializations.. Time: 0:00:19 Points: 386   ⌜ # Computing specializations.. Time: 0:00:19 Points: 394   ⌝ # Computing specializations.. Time: 0:00:19 Points: 402   ⌟ # Computing specializations.. Time: 0:00:20 Points: 410   ⌞ # Computing specializations.. Time: 0:00:20 Points: 419   ⌜ # Computing specializations.. Time: 0:00:21 Points: 426   ⌝ # Computing specializations.. Time: 0:00:21 Points: 435   ⌟ # Computing specializations.. Time: 0:00:21 Points: 442   ⌞ # Computing specializations.. Time: 0:00:22 Points: 450   ⌜ # Computing specializations.. Time: 0:00:22 Points: 458   ⌝ # Computing specializations.. Time: 0:00:22 Points: 466   ⌟ # Computing specializations.. Time: 0:00:23 Points: 474   ⌞ # Computing specializations.. Time: 0:00:23 Points: 483   ⌜ # Computing specializations.. Time: 0:00:24 Points: 491   ⌝ # Computing specializations.. Time: 0:00:24 Points: 500   ⌟ # Computing specializations.. Time: 0:00:24 Points: 507   ⌞ # Computing specializations.. Time: 0:00:25 Points: 515   ⌜ # Computing specializations.. Time: 0:00:25 Points: 523   ⌝ # Computing specializations.. Time: 0:00:26 Points: 532   ⌟ # Computing specializations.. Time: 0:00:26 Points: 539   ⌞ # Computing specializations.. Time: 0:00:27 Points: 548   ⌜ # Computing specializations.. Time: 0:00:27 Points: 556   ⌝ # Computing specializations.. Time: 0:00:27 Points: 564   ⌟ # Computing specializations.. Time: 0:00:28 Points: 573   ⌞ # Computing specializations.. Time: 0:00:28 Points: 580   ⌜ # Computing specializations.. Time: 0:00:29 Points: 588   ⌝ # Computing specializations.. Time: 0:00:29 Points: 596   ⌟ # Computing specializations.. Time: 0:00:29 Points: 604   ⌞ # Computing specializations.. Time: 0:00:30 Points: 612   ⌜ # Computing specializations.. Time: 0:00:30 Points: 620   ⌝ # Computing specializations.. Time: 0:00:31 Points: 628   ⌟ # Computing specializations.. Time: 0:00:31 Points: 637   ✓ # Computing specializations.. Time: 0:00:31 [ Info: Search for polynomial generators concluded in 0.000349367 [ Info: Selecting generators in 0.059274019 [ Info: Inclusion checked with probability 0.995 in 8.451696611 seconds [ Info: The search for identifiable functions concluded in 73.178654516 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[T, Dd, T*a + T*d + T*dr + e + g - r - rR, (d*rR - dr*r)//(d - dr), (a*r - a*rR + d*e + d*g - dr*e - dr*g)//(d - dr), (a^2 + 2*a*d + d^2 + dr^2)//(a*dr + d*dr), (a*dr*r - a*dr*rR + d^2*g + d*dr*e - d*dr*g - dr^2*e)//(a*d - a*dr + d^2 - dr^2)] │ case = │ (ode = S'(t) = -S(t)*W(t)*a - S(t)*W(t)*d - S(t)*e + S(t)*r + R(t)*g │ R'(t) = S(t)*W(t)*a + S(t)*e - R(t)*W(t)*dr - R(t)*g + R(t)*rR │ W'(t) = -W(t)*Dd + Dd*T │ y1(t) = S(t) + R(t) │ y2(t) = T │ , ident_funcs = AbstractAlgebra.RingElem[T, Dd, T*a + T*d + T*dr + e + g - r - rR, (d*rR - dr*r)//(d - dr), (a^2 + 2*a*d + d^2 + dr^2)//(a*dr + d*dr), (a*r - a*rR + d*e + d*g - dr*e - dr*g)//(d - dr), (a*dr*r - a*dr*rR + d^2*g + d*dr*e - d*dr*g - dr^2*e)//(a*d - a*dr + d^2 - dr^2)]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 14 variables S(t), R(t), W(t), y1(t), ..., rR │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 3.261606633 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.073575788 seconds [ Info: Dimensions of the Wronskians [34, 2] [ Info: Ranks of the Wronskians computed in 9.5199e-5 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 7   ⌝ # Computing specializations.. Time: 0:00:00 Points: 16   ⌟ # Computing specializations.. Time: 0:00:01 Points: 25   ⌞ # Computing specializations.. Time: 0:00:01 Points: 34   ⌜ # Computing specializations.. Time: 0:00:01 Points: 43   ⌝ # Computing specializations.. Time: 0:00:02 Points: 53   ⌟ # Computing specializations.. Time: 0:00:02 Points: 61   ⌞ # Computing specializations.. Time: 0:00:03 Points: 70   ⌜ # Computing specializations.. Time: 0:00:03 Points: 79   ⌝ # Computing specializations.. Time: 0:00:03 Points: 88   ⌟ # Computing specializations.. Time: 0:00:04 Points: 96   ✓ # Computing specializations.. Time: 0:00:04 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ⌝ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 8   ⌝ # Computing specializations.. Time: 0:00:00 Points: 18   ⌟ # Computing specializations.. Time: 0:00:01 Points: 26   ⌞ # Computing specializations.. Time: 0:00:01 Points: 36   ⌜ # Computing specializations.. Time: 0:00:02 Points: 45   ⌝ # Computing specializations.. Time: 0:00:02 Points: 55   ⌟ # Computing specializations.. Time: 0:00:03 Points: 64   ⌞ # Computing specializations.. Time: 0:00:03 Points: 73   ⌜ # Computing specializations.. Time: 0:00:03 Points: 82   ⌝ # Computing specializations.. Time: 0:00:04 Points: 92   ⌟ # Computing specializations.. Time: 0:00:04 Points: 101   ⌞ # Computing specializations.. Time: 0:00:05 Points: 110   ⌜ # Computing specializations.. Time: 0:00:05 Points: 119   ⌝ # Computing specializations.. Time: 0:00:06 Points: 128   ⌟ # Computing specializations.. Time: 0:00:06 Points: 137   ⌞ # Computing specializations.. Time: 0:00:06 Points: 146   ⌜ # Computing specializations.. Time: 0:00:07 Points: 154   ⌝ # Computing specializations.. Time: 0:00:07 Points: 163   ⌟ # Computing specializations.. Time: 0:00:08 Points: 171   ⌞ # Computing specializations.. Time: 0:00:08 Points: 181   ⌜ # Computing specializations.. Time: 0:00:08 Points: 190   ⌝ # Computing specializations.. Time: 0:00:09 Points: 200   ⌟ # Computing specializations.. Time: 0:00:09 Points: 209   ⌞ # Computing specializations.. Time: 0:00:09 Points: 216   ⌜ # Computing specializations.. Time: 0:00:10 Points: 225   ⌝ # Computing specializations.. Time: 0:00:10 Points: 234   ⌟ # Computing specializations.. Time: 0:00:11 Points: 243   ⌞ # Computing specializations.. Time: 0:00:11 Points: 252   ⌜ # Computing specializations.. Time: 0:00:11 Points: 262   ⌝ # Computing specializations.. Time: 0:00:12 Points: 270   ⌟ # Computing specializations.. Time: 0:00:12 Points: 282   ⌞ # Computing specializations.. Time: 0:00:12 Points: 292   ⌜ # Computing specializations.. Time: 0:00:13 Points: 300   ⌝ # Computing specializations.. Time: 0:00:13 Points: 310   ⌟ # Computing specializations.. Time: 0:00:14 Points: 320   ⌞ # Computing specializations.. Time: 0:00:15 Points: 329   ⌜ # Computing specializations.. Time: 0:00:15 Points: 338   ⌝ # Computing specializations.. Time: 0:00:15 Points: 348   ⌟ # Computing specializations.. Time: 0:00:15 Points: 357   ⌞ # Computing specializations.. Time: 0:00:16 Points: 367   ⌜ # Computing specializations.. Time: 0:00:17 Points: 377   ⌝ # Computing specializations.. Time: 0:00:17 Points: 386   ⌟ # Computing specializations.. Time: 0:00:17 Points: 395   ⌞ # Computing specializations.. Time: 0:00:18 Points: 404   ⌜ # Computing specializations.. Time: 0:00:18 Points: 413   ⌝ # Computing specializations.. Time: 0:00:18 Points: 422   ⌟ # Computing specializations.. Time: 0:00:19 Points: 430   ⌞ # Computing specializations.. Time: 0:00:19 Points: 440   ⌜ # Computing specializations.. Time: 0:00:20 Points: 449   ⌝ # Computing specializations.. Time: 0:00:20 Points: 456   ⌟ # Computing specializations.. Time: 0:00:20 Points: 465   ⌞ # Computing specializations.. Time: 0:00:21 Points: 474   ⌜ # Computing specializations.. Time: 0:00:21 Points: 483   ⌝ # Computing specializations.. Time: 0:00:22 Points: 492   ⌟ # Computing specializations.. Time: 0:00:22 Points: 501   ⌞ # Computing specializations.. Time: 0:00:23 Points: 510   ⌜ # Computing specializations.. Time: 0:00:23 Points: 520   ⌝ # Computing specializations.. Time: 0:00:23 Points: 528   ⌟ # Computing specializations.. Time: 0:00:24 Points: 538   ⌞ # Computing specializations.. Time: 0:00:24 Points: 547   ⌜ # Computing specializations.. Time: 0:00:24 Points: 556   ⌝ # Computing specializations.. Time: 0:00:25 Points: 565   ⌟ # Computing specializations.. Time: 0:00:25 Points: 573   ⌞ # Computing specializations.. Time: 0:00:26 Points: 582   ⌜ # Computing specializations.. Time: 0:00:26 Points: 591   ⌝ # Computing specializations.. Time: 0:00:27 Points: 600   ⌟ # Computing specializations.. Time: 0:00:27 Points: 609   ⌞ # Computing specializations.. Time: 0:00:27 Points: 618   ⌜ # Computing specializations.. Time: 0:00:28 Points: 627   ⌝ # Computing specializations.. Time: 0:00:28 Points: 634   ✓ # Computing specializations.. Time: 0:00:29 [ Info: Search for polynomial generators concluded in 2.275226477 [ Info: Selecting generators in 0.051623899 [ Info: Inclusion checked with probability 0.995 in 8.465753652 seconds [ Info: The search for identifiable functions concluded in 63.323684481 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[T, Dd, T*a + T*d + T*dr + e + g - r - rR, (d*rR - dr*r)//(d - dr), (a*r - a*rR + d*e + d*g - dr*e - dr*g)//(d - dr), (a^2 + 2*a*d + d^2 + dr^2)//(a*dr + d*dr), (a*dr*r - a*dr*rR + d^2*g + d*dr*e - d*dr*g - dr^2*e)//(a*d - a*dr + d^2 - dr^2)] │ case = │ (ode = S'(t) = -S(t)*W(t)*a - S(t)*W(t)*d - S(t)*e + S(t)*r + R(t)*g │ R'(t) = S(t)*W(t)*a + S(t)*e - R(t)*W(t)*dr - R(t)*g + R(t)*rR │ W'(t) = -W(t)*Dd + Dd*T │ y1(t) = S(t) + R(t) │ y2(t) = T │ , ident_funcs = AbstractAlgebra.RingElem[T, Dd, T*a + T*d + T*dr + e + g - r - rR, (d*rR - dr*r)//(d - dr), (a^2 + 2*a*d + d^2 + dr^2)//(a*dr + d*dr), (a*r - a*rR + d*e + d*g - dr*e - dr*g)//(d - dr), (a*dr*r - a*dr*rR + d^2*g + d*dr*e - d*dr*g - dr^2*e)//(a*d - a*dr + d^2 - dr^2)]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 14 variables S(t), R(t), W(t), y1(t), ..., rR │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[S(t), R(t), W(t), y1(t), y2(t), Dd, T, a, d, dr, e, g, r, rR] [ Info: Computing IO-equations [ Info: Computed IO-equations in 3.394360248 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.076374492 seconds [ Info: Dimensions of the Wronskians [34, 2] [ Info: Ranks of the Wronskians computed in 9.1049e-5 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 5   ⌝ # Computing specializations.. Time: 0:00:00 Points: 14   ⌟ # Computing specializations.. Time: 0:00:01 Points: 23   ⌞ # Computing specializations.. Time: 0:00:01 Points: 33   ⌜ # Computing specializations.. Time: 0:00:01 Points: 42   ⌝ # Computing specializations.. Time: 0:00:02 Points: 52   ⌟ # Computing specializations.. Time: 0:00:02 Points: 61   ⌞ # Computing specializations.. Time: 0:00:03 Points: 71   ⌜ # Computing specializations.. Time: 0:00:03 Points: 79   ⌝ # Computing specializations.. Time: 0:00:03 Points: 89   ✓ # Computing specializations.. Time: 0:00:04 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ⌝ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 9   ⌝ # Computing specializations.. Time: 0:00:00 Points: 19   ⌟ # Computing specializations.. Time: 0:00:01 Points: 27   ⌞ # Computing specializations.. Time: 0:00:01 Points: 37   ⌜ # Computing specializations.. Time: 0:00:02 Points: 46   ⌝ # Computing specializations.. Time: 0:00:02 Points: 53   ⌟ # Computing specializations.. Time: 0:00:03 Points: 62   ⌞ # Computing specializations.. Time: 0:00:03 Points: 70   ⌜ # Computing specializations.. Time: 0:00:03 Points: 79   ⌝ # Computing specializations.. Time: 0:00:04 Points: 88   ⌟ # Computing specializations.. Time: 0:00:04 Points: 97   ⌞ # Computing specializations.. Time: 0:00:05 Points: 106   ⌜ # Computing specializations.. Time: 0:00:05 Points: 114   ⌝ # Computing specializations.. Time: 0:00:05 Points: 123   ⌟ # Computing specializations.. Time: 0:00:06 Points: 132   ⌞ # Computing specializations.. Time: 0:00:06 Points: 141   ⌜ # Computing specializations.. Time: 0:00:07 Points: 150   ⌝ # Computing specializations.. Time: 0:00:07 Points: 158   ⌟ # Computing specializations.. Time: 0:00:08 Points: 167   ⌞ # Computing specializations.. Time: 0:00:08 Points: 176   ⌜ # Computing specializations.. Time: 0:00:08 Points: 184   ⌝ # Computing specializations.. Time: 0:00:09 Points: 193   ⌟ # Computing specializations.. Time: 0:00:09 Points: 202   ⌞ # Computing specializations.. Time: 0:00:10 Points: 211   ⌜ # Computing specializations.. Time: 0:00:10 Points: 219   ⌝ # Computing specializations.. Time: 0:00:10 Points: 227   ⌟ # Computing specializations.. Time: 0:00:11 Points: 236   ⌞ # Computing specializations.. Time: 0:00:11 Points: 243   ⌜ # Computing specializations.. Time: 0:00:11 Points: 252   ⌝ # Computing specializations.. Time: 0:00:12 Points: 261   ⌟ # Computing specializations.. Time: 0:00:12 Points: 270   ⌞ # Computing specializations.. Time: 0:00:13 Points: 279   ⌜ # Computing specializations.. Time: 0:00:13 Points: 288   ⌝ # Computing specializations.. Time: 0:00:14 Points: 297   ⌟ # Computing specializations.. Time: 0:00:14 Points: 307   ⌞ # Computing specializations.. Time: 0:00:15 Points: 315   ⌜ # Computing specializations.. Time: 0:00:15 Points: 324   ⌝ # Computing specializations.. Time: 0:00:15 Points: 333   ⌟ # Computing specializations.. Time: 0:00:16 Points: 342   ⌞ # Computing specializations.. Time: 0:00:16 Points: 351   ⌜ # Computing specializations.. Time: 0:00:16 Points: 361   ⌝ # Computing specializations.. Time: 0:00:17 Points: 369   ⌟ # Computing specializations.. Time: 0:00:17 Points: 378   ⌞ # Computing specializations.. Time: 0:00:18 Points: 387   ⌜ # Computing specializations.. Time: 0:00:18 Points: 396   ⌝ # Computing specializations.. Time: 0:00:19 Points: 405   ⌟ # Computing specializations.. Time: 0:00:19 Points: 414   ⌞ # Computing specializations.. Time: 0:00:20 Points: 423   ⌜ # Computing specializations.. Time: 0:00:20 Points: 433   ⌝ # Computing specializations.. Time: 0:00:20 Points: 442   ⌟ # Computing specializations.. Time: 0:00:21 Points: 449   ⌞ # Computing specializations.. Time: 0:00:21 Points: 458   ⌜ # Computing specializations.. Time: 0:00:22 Points: 467   ⌝ # Computing specializations.. Time: 0:00:22 Points: 477   ⌟ # Computing specializations.. Time: 0:00:22 Points: 486   ⌞ # Computing specializations.. Time: 0:00:23 Points: 495   ⌜ # Computing specializations.. Time: 0:00:23 Points: 504   ⌝ # Computing specializations.. Time: 0:00:23 Points: 512   ⌟ # Computing specializations.. Time: 0:00:24 Points: 521   ⌞ # Computing specializations.. Time: 0:00:24 Points: 528   ⌜ # Computing specializations.. Time: 0:00:25 Points: 536   ⌝ # Computing specializations.. Time: 0:00:25 Points: 544   ⌟ # Computing specializations.. Time: 0:00:25 Points: 553   ⌞ # Computing specializations.. Time: 0:00:26 Points: 562   ⌜ # Computing specializations.. Time: 0:00:26 Points: 571   ⌝ # Computing specializations.. Time: 0:00:27 Points: 579   ⌟ # Computing specializations.. Time: 0:00:27 Points: 588   ⌞ # Computing specializations.. Time: 0:00:27 Points: 597   ⌜ # Computing specializations.. Time: 0:00:28 Points: 606   ⌝ # Computing specializations.. Time: 0:00:29 Points: 615   ⌟ # Computing specializations.. Time: 0:00:29 Points: 624   ⌞ # Computing specializations.. Time: 0:00:29 Points: 633   ✓ # Computing specializations.. Time: 0:00:30 [ Info: Search for polynomial generators concluded in 2.743063759 [ Info: Selecting generators in 0.047710603 [ Info: Inclusion checked with probability 0.995 in 8.528049931 seconds [ Info: The search for identifiable functions concluded in 65.744271602 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[T, Dd, T*a + T*d + T*dr + e + g - r - rR, (d*rR - dr*r)//(d - dr), (a*r - a*rR + d*e + d*g - dr*e - dr*g)//(d - dr), (a^2 + 2*a*d + d^2 + dr^2)//(a*dr + d*dr), (a*dr*r - a*dr*rR + d^2*g + d*dr*e - d*dr*g - dr^2*e)//(a*d - a*dr + d^2 - dr^2)] │ case = │ (ode = S'(t) = -S(t)*W(t)*a - S(t)*W(t)*d - S(t)*e + S(t)*r + R(t)*g │ R'(t) = S(t)*W(t)*a + S(t)*e - R(t)*W(t)*dr - R(t)*g + R(t)*rR │ W'(t) = -W(t)*Dd + Dd*T │ y1(t) = S(t) + R(t) │ y2(t) = T │ , ident_funcs = AbstractAlgebra.RingElem[T, Dd, T*a + T*d + T*dr + e + g - r - rR, (d*rR - dr*r)//(d - dr), (a^2 + 2*a*d + d^2 + dr^2)//(a*dr + d*dr), (a*r - a*rR + d*e + d*g - dr*e - dr*g)//(d - dr), (a*dr*r - a*dr*rR + d^2*g + d*dr*e - d*dr*g - dr^2*e)//(a*d - a*dr + d^2 - dr^2)]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 14 variables S(t), R(t), W(t), y1(t), ..., rR │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[S(t), R(t), W(t), y1(t), y2(t), Dd, T, a, d, dr, e, g, r, rR] [ Info: Computing IO-equations [ Info: Computed IO-equations in 3.127299316 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.076760548 seconds [ Info: Dimensions of the Wronskians [34, 2] [ Info: Ranks of the Wronskians computed in 0.000101539 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 7   ⌝ # Computing specializations.. Time: 0:00:00 Points: 16   ⌟ # Computing specializations.. Time: 0:00:01 Points: 24   ⌞ # Computing specializations.. Time: 0:00:01 Points: 33   ⌜ # Computing specializations.. Time: 0:00:01 Points: 41   ⌝ # Computing specializations.. Time: 0:00:02 Points: 48   ⌟ # Computing specializations.. Time: 0:00:02 Points: 56   ⌞ # Computing specializations.. Time: 0:00:03 Points: 64   ⌜ # Computing specializations.. Time: 0:00:03 Points: 72   ⌝ # Computing specializations.. Time: 0:00:03 Points: 80   ⌟ # Computing specializations.. Time: 0:00:04 Points: 88   ⌞ # Computing specializations.. Time: 0:00:04 Points: 96   ✓ # Computing specializations.. Time: 0:00:04 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ⌝ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 4   ⌝ # Computing specializations.. Time: 0:00:00 Points: 13   ⌟ # Computing specializations.. Time: 0:00:01 Points: 20   ⌞ # Computing specializations.. Time: 0:00:01 Points: 29   ⌜ # Computing specializations.. Time: 0:00:02 Points: 37   ⌝ # Computing specializations.. Time: 0:00:02 Points: 46   ⌟ # Computing specializations.. Time: 0:00:02 Points: 54   ⌞ # Computing specializations.. Time: 0:00:03 Points: 62   ⌜ # Computing specializations.. Time: 0:00:03 Points: 71   ⌝ # Computing specializations.. Time: 0:00:04 Points: 79   ⌟ # Computing specializations.. Time: 0:00:04 Points: 87   ⌞ # Computing specializations.. Time: 0:00:04 Points: 96   ⌜ # Computing specializations.. Time: 0:00:05 Points: 103   ⌝ # Computing specializations.. Time: 0:00:05 Points: 112   ⌟ # Computing specializations.. Time: 0:00:06 Points: 120   ⌞ # Computing specializations.. Time: 0:00:06 Points: 128   ⌜ # Computing specializations.. Time: 0:00:07 Points: 136   ⌝ # Computing specializations.. Time: 0:00:07 Points: 145   ⌟ # Computing specializations.. Time: 0:00:07 Points: 153   ⌞ # Computing specializations.. Time: 0:00:08 Points: 161   ⌜ # Computing specializations.. Time: 0:00:08 Points: 169   ⌝ # Computing specializations.. Time: 0:00:09 Points: 177   ⌟ # Computing specializations.. Time: 0:00:09 Points: 186   ⌞ # Computing specializations.. Time: 0:00:09 Points: 194   ⌜ # Computing specializations.. Time: 0:00:10 Points: 202   ⌝ # Computing specializations.. Time: 0:00:10 Points: 209   ⌟ # Computing specializations.. Time: 0:00:11 Points: 214   ⌞ # Computing specializations.. Time: 0:00:11 Points: 223   ⌜ # Computing specializations.. Time: 0:00:11 Points: 231   ⌝ # Computing specializations.. Time: 0:00:11 Points: 237   ⌟ # Computing specializations.. Time: 0:00:12 Points: 246   ⌞ # Computing specializations.. Time: 0:00:12 Points: 253   ⌜ # Computing specializations.. Time: 0:00:13 Points: 261   ⌝ # Computing specializations.. Time: 0:00:13 Points: 269   ⌟ # Computing specializations.. Time: 0:00:13 Points: 278   ⌞ # Computing specializations.. Time: 0:00:14 Points: 286   ⌜ # Computing specializations.. Time: 0:00:14 Points: 295   ⌝ # Computing specializations.. Time: 0:00:15 Points: 302   ⌟ # Computing specializations.. Time: 0:00:15 Points: 311   ⌞ # Computing specializations.. Time: 0:00:16 Points: 320   ⌜ # Computing specializations.. Time: 0:00:16 Points: 328   ⌝ # Computing specializations.. Time: 0:00:16 Points: 336   ⌟ # Computing specializations.. Time: 0:00:17 Points: 344   ⌞ # Computing specializations.. Time: 0:00:17 Points: 352   ⌜ # Computing specializations.. Time: 0:00:17 Points: 360   ⌝ # Computing specializations.. Time: 0:00:18 Points: 368   ⌟ # Computing specializations.. Time: 0:00:18 Points: 376   ⌞ # Computing specializations.. Time: 0:00:19 Points: 384   ⌜ # Computing specializations.. Time: 0:00:19 Points: 392   ⌝ # Computing specializations.. Time: 0:00:20 Points: 400   ⌟ # Computing specializations.. Time: 0:00:20 Points: 408   ⌞ # Computing specializations.. Time: 0:00:20 Points: 416   ⌜ # Computing specializations.. Time: 0:00:21 Points: 424   ⌝ # Computing specializations.. Time: 0:00:21 Points: 432   ⌟ # Computing specializations.. Time: 0:00:22 Points: 440   ⌞ # Computing specializations.. Time: 0:00:22 Points: 449   ⌜ # Computing specializations.. Time: 0:00:22 Points: 457   ⌝ # Computing specializations.. Time: 0:00:23 Points: 464   ⌟ # Computing specializations.. Time: 0:00:23 Points: 472   ⌞ # Computing specializations.. Time: 0:00:23 Points: 479   ⌜ # Computing specializations.. Time: 0:00:24 Points: 487   ⌝ # Computing specializations.. Time: 0:00:24 Points: 495   ⌟ # Computing specializations.. Time: 0:00:25 Points: 504   ⌞ # Computing specializations.. Time: 0:00:25 Points: 512   ⌜ # Computing specializations.. Time: 0:00:25 Points: 521   ⌝ # Computing specializations.. Time: 0:00:26 Points: 529   ⌟ # Computing specializations.. Time: 0:00:26 Points: 538   ⌞ # Computing specializations.. Time: 0:00:27 Points: 546   ⌜ # Computing specializations.. Time: 0:00:27 Points: 555   ⌝ # Computing specializations.. Time: 0:00:27 Points: 563   ⌟ # Computing specializations.. Time: 0:00:28 Points: 571   ⌞ # Computing specializations.. Time: 0:00:28 Points: 579   ⌜ # Computing specializations.. Time: 0:00:29 Points: 587   ⌝ # Computing specializations.. Time: 0:00:29 Points: 595   ⌟ # Computing specializations.. Time: 0:00:30 Points: 603   ⌞ # Computing specializations.. Time: 0:00:30 Points: 611   ⌜ # Computing specializations.. Time: 0:00:30 Points: 619   ⌝ # Computing specializations.. Time: 0:00:31 Points: 627   ⌟ # Computing specializations.. Time: 0:00:31 Points: 635   ✓ # Computing specializations.. Time: 0:00:32 [ Info: Search for polynomial generators concluded in 1.539608457 [ Info: Selecting generators in 0.055374142 [ Info: Inclusion checked with probability 0.995 in 7.959793409 seconds [ Info: The search for identifiable functions concluded in 65.744014379 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[T, Dd, T*a + T*d + T*dr + e + g - r - rR, (d*rR - dr*r)//(d - dr), (a*r - a*rR + d*e + d*g - dr*e - dr*g)//(d - dr), (a^2 + 2*a*d + d^2 + dr^2)//(a*dr + d*dr), (a*dr*r - a*dr*rR + d^2*g + d*dr*e - d*dr*g - dr^2*e)//(a*d - a*dr + d^2 - dr^2)] │ case = │ (ode = S'(t) = -S(t)*W(t)*a - S(t)*W(t)*d - S(t)*e + S(t)*r + R(t)*g │ R'(t) = S(t)*W(t)*a + S(t)*e - R(t)*W(t)*dr - R(t)*g + R(t)*rR │ W'(t) = -W(t)*Dd + Dd*T │ y1(t) = S(t) + R(t) │ y2(t) = T │ , ident_funcs = AbstractAlgebra.RingElem[T, Dd, T*a + T*d + T*dr + e + g - r - rR, (d*rR - dr*r)//(d - dr), (a^2 + 2*a*d + d^2 + dr^2)//(a*dr + d*dr), (a*r - a*rR + d*e + d*g - dr*e - dr*g)//(d - dr), (a*dr*r - a*dr*rR + d^2*g + d*dr*e - d*dr*g - dr^2*e)//(a*d - a*dr + d^2 - dr^2)]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 14 variables S(t), R(t), W(t), y1(t), ..., rR │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[S(t), R(t), W(t), y1(t), y2(t), Dd, T, a, d, dr, e, g, r, rR] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001544976 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.881e-5 [ Info: Selecting generators in 0.000180008 [ Info: Inclusion checked with probability 0.995 in 0.002280079 seconds [ Info: The search for identifiable functions concluded in 0.021632892 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x(t)] │ case = │ (ode = x'(t) = x(t) │ y(t) = x(t) │ , ident_funcs = Nemo.QQMPolyRingElem[x(t)], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 2 variables x(t), y(t) │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.00103652 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.4839e-5 [ Info: Selecting generators in 0.000192278 [ Info: Inclusion checked with probability 0.995 in 0.00216649 seconds [ Info: The search for identifiable functions concluded in 0.008992787 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x(t)] │ case = │ (ode = x'(t) = x(t) │ y(t) = x(t) │ , ident_funcs = Nemo.QQMPolyRingElem[x(t)], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 2 variables x(t), y(t) │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.00107946 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 6.0849e-5 [ Info: Selecting generators in 0.000117688 [ Info: Inclusion checked with probability 0.995 in 0.001731454 seconds [ Info: The search for identifiable functions concluded in 0.007854988 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x(t)] │ case = │ (ode = x'(t) = x(t) │ y(t) = x(t) │ , ident_funcs = Nemo.QQMPolyRingElem[x(t)], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 2 variables x(t), y(t) │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.000852502 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000419086 [ Info: Selecting generators in 0.000136419 [ Info: Inclusion checked with probability 0.995 in 0.001887013 seconds [ Info: The search for identifiable functions concluded in 0.00760375 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x(t)] │ case = │ (ode = x'(t) = x(t) │ y(t) = x(t) │ , ident_funcs = Nemo.QQMPolyRingElem[x(t)], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 2 variables x(t), y(t) │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x(t), y(t)] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.000845363 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000396256 [ Info: Selecting generators in 0.000121439 [ Info: Inclusion checked with probability 0.995 in 0.001939482 seconds [ Info: The search for identifiable functions concluded in 0.007302283 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x(t)] │ case = │ (ode = x'(t) = x(t) │ y(t) = x(t) │ , ident_funcs = Nemo.QQMPolyRingElem[x(t)], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 2 variables x(t), y(t) │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x(t), y(t)] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.000845732 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000390716 [ Info: Selecting generators in 0.000144889 [ Info: Inclusion checked with probability 0.995 in 0.001746344 seconds [ Info: The search for identifiable functions concluded in 0.007372272 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x(t)] │ case = │ (ode = x'(t) = x(t) │ y(t) = x(t) │ , ident_funcs = Nemo.QQMPolyRingElem[x(t)], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 2 variables x(t), y(t) │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x(t), y(t)] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001287038 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001114989 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.573e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000376757 [ Info: Selecting generators in 0.000575155 [ Info: Inclusion checked with probability 0.995 in 0.001757694 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.5379e-5 [ Info: Selecting generators in 0.000410477 [ Info: Inclusion checked with probability 0.995 in 0.002266569 seconds [ Info: The search for identifiable functions concluded in 0.017624108 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a, x(t)] │ case = │ (ode = x'(t) = x(t)*a + u(t) │ y(t) = x(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[a, x(t)]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 4 variables x(t), y(t), u(t), a │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.0010298 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000805163 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.612e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000357657 [ Info: Selecting generators in 0.000552144 [ Info: Inclusion checked with probability 0.995 in 0.001682965 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 6.7679e-5 [ Info: Selecting generators in 0.000355397 [ Info: Inclusion checked with probability 0.995 in 0.002061601 seconds [ Info: The search for identifiable functions concluded in 0.015529997 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a, x(t)] │ case = │ (ode = x'(t) = x(t)*a + u(t) │ y(t) = x(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[a, x(t)]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 4 variables x(t), y(t), u(t), a │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001052401 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000832133 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.774e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000392826 [ Info: Selecting generators in 0.000564475 [ Info: Inclusion checked with probability 0.995 in 0.001606725 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.0949e-5 [ Info: Selecting generators in 0.000375027 [ Info: Inclusion checked with probability 0.995 in 0.002149471 seconds [ Info: The search for identifiable functions concluded in 0.01636624 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a, x(t)] │ case = │ (ode = x'(t) = x(t)*a + u(t) │ y(t) = x(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[a, x(t)]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 4 variables x(t), y(t), u(t), a │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001009131 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000784633 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.665e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000339737 [ Info: Selecting generators in 0.000562165 [ Info: Inclusion checked with probability 0.995 in 0.001584315 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.208723567 [ Info: Selecting generators in 0.000577155 [ Info: Inclusion checked with probability 0.995 in 0.002408487 seconds [ Info: The search for identifiable functions concluded in 0.224688501 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a, x(t)] │ case = │ (ode = x'(t) = x(t)*a + u(t) │ y(t) = x(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[a, x(t)]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 4 variables x(t), y(t), u(t), a │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x(t), y(t), u(t), a] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001328078 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000912101 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.036e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000413336 [ Info: Selecting generators in 0.000632085 [ Info: Inclusion checked with probability 0.995 in 0.002019692 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000594794 [ Info: Selecting generators in 0.000448206 [ Info: Inclusion checked with probability 0.995 in 0.0021937 seconds [ Info: The search for identifiable functions concluded in 0.018946747 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a, x(t)] │ case = │ (ode = x'(t) = x(t)*a + u(t) │ y(t) = x(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[a, x(t)]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 4 variables x(t), y(t), u(t), a │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x(t), y(t), u(t), a] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001419637 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000915502 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.068e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000405746 [ Info: Selecting generators in 0.000634995 [ Info: Inclusion checked with probability 0.995 in 0.001777344 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001061961 [ Info: Selecting generators in 0.000479406 [ Info: Inclusion checked with probability 0.995 in 0.00221481 seconds [ Info: The search for identifiable functions concluded in 0.018972736 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a, x(t)] │ case = │ (ode = x'(t) = x(t)*a + u(t) │ y(t) = x(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[a, x(t)]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 4 variables x(t), y(t), u(t), a │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x(t), y(t), u(t), a] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002362218 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001922053 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.38e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.008514502 [ Info: Selecting generators in 0.0021842 [ Info: Inclusion checked with probability 0.995 in 0.003737986 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000121639 [ Info: Selecting generators in 0.003602647 [ Info: Inclusion checked with probability 0.995 in 0.006191364 seconds [ Info: The search for identifiable functions concluded in 0.053757147 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[d, c, a, x1(t), x2(t)*b] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*b + x1(t)*a │ x2'(t) = x1(t)*x2(t)*d - x2(t)*c │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), c, d, a, x2(t)*b]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 7 variables x1(t), x2(t), y(t), a, ..., d │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002300569 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001699165 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.764e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.007411082 [ Info: Selecting generators in 0.002081751 [ Info: Inclusion checked with probability 0.995 in 0.003088402 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000102499 [ Info: Selecting generators in 0.003146441 [ Info: Inclusion checked with probability 0.995 in 0.004976805 seconds [ Info: The search for identifiable functions concluded in 0.04582352 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[d, c, a, x1(t), x2(t)*b] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*b + x1(t)*a │ x2'(t) = x1(t)*x2(t)*d - x2(t)*c │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), c, d, a, x2(t)*b]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 7 variables x1(t), x2(t), y(t), a, ..., d │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002237729 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001644095 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.8619e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.007253233 [ Info: Selecting generators in 0.002095301 [ Info: Inclusion checked with probability 0.995 in 0.003254201 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000108569 [ Info: Selecting generators in 0.003178021 [ Info: Inclusion checked with probability 0.995 in 0.005080344 seconds [ Info: The search for identifiable functions concluded in 0.045426294 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[d, c, a, x1(t), x2(t)*b] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*b + x1(t)*a │ x2'(t) = x1(t)*x2(t)*d - x2(t)*c │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), c, d, a, x2(t)*b]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 7 variables x1(t), x2(t), y(t), a, ..., d │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002287029 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001730624 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.746e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.007914388 [ Info: Selecting generators in 0.002360228 [ Info: Inclusion checked with probability 0.995 in 0.003471928 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.027970614 [ Info: Selecting generators in 0.003562727 [ Info: Inclusion checked with probability 0.995 in 0.00549452 seconds [ Info: The search for identifiable functions concluded in 0.077010735 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[d, c, a, x1(t), x2(t)*b] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*b + x1(t)*a │ x2'(t) = x1(t)*x2(t)*d - x2(t)*c │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), c, d, a, x2(t)*b]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 7 variables x1(t), x2(t), y(t), a, ..., d │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), a, b, c, d] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002413858 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001899853 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.979e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.008241584 [ Info: Selecting generators in 0.002333038 [ Info: Inclusion checked with probability 0.995 in 0.003445189 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.031316833 [ Info: Selecting generators in 0.003884614 [ Info: Inclusion checked with probability 0.995 in 0.006062345 seconds [ Info: The search for identifiable functions concluded in 0.082226856 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[d, c, a, x1(t), x2(t)*b] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*b + x1(t)*a │ x2'(t) = x1(t)*x2(t)*d - x2(t)*c │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), c, d, a, x2(t)*b]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 7 variables x1(t), x2(t), y(t), a, ..., d │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), a, b, c, d] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002466358 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001971502 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.747e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.008541922 [ Info: Selecting generators in 0.002440488 [ Info: Inclusion checked with probability 0.995 in 0.003727916 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.569922258 [ Info: Selecting generators in 0.004592388 [ Info: Inclusion checked with probability 0.995 in 0.006333752 seconds [ Info: The search for identifiable functions concluded in 0.623429018 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[d, c, a, x1(t), x2(t)*b] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*b + x1(t)*a │ x2'(t) = x1(t)*x2(t)*d - x2(t)*c │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), c, d, a, x2(t)*b]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 7 variables x1(t), x2(t), y(t), a, ..., d │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), a, b, c, d] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002965322 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002306769 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.7889e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.010163407 [ Info: Selecting generators in 0.003222751 [ Info: Inclusion checked with probability 0.995 in 0.004274491 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000132209 [ Info: Selecting generators in 0.004249931 [ Info: Inclusion checked with probability 0.995 in 0.006410081 seconds [ Info: The search for identifiable functions concluded in 0.062348319 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[d, c, a, x1(t), x2(t)*b] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*b + x1(t)*a │ x2'(t) = x1(t)*x2(t)*d - x2(t)*c │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), c, d, a, x2(t)*b]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 7 variables x1(t), x2(t), y(t), a, ..., d │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002673405 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002040871 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.738e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.009217095 [ Info: Selecting generators in 0.002576726 [ Info: Inclusion checked with probability 0.995 in 0.004002993 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000130879 [ Info: Selecting generators in 0.003903444 [ Info: Inclusion checked with probability 0.995 in 0.006682318 seconds [ Info: The search for identifiable functions concluded in 0.056821139 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[d, c, a, x1(t), x2(t)*b] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*b + x1(t)*a │ x2'(t) = x1(t)*x2(t)*d - x2(t)*c │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), c, d, a, x2(t)*b]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 7 variables x1(t), x2(t), y(t), a, ..., d │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002486617 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002083671 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.8139e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.007970557 [ Info: Selecting generators in 0.002348779 [ Info: Inclusion checked with probability 0.995 in 0.003599407 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000120629 [ Info: Selecting generators in 0.003683876 [ Info: Inclusion checked with probability 0.995 in 0.005940276 seconds [ Info: The search for identifiable functions concluded in 0.051781596 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[d, c, a, x1(t), x2(t)*b] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*b + x1(t)*a │ x2'(t) = x1(t)*x2(t)*d - x2(t)*c │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), c, d, a, x2(t)*b]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 7 variables x1(t), x2(t), y(t), a, ..., d │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003076052 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002232939 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.877e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.008152655 [ Info: Selecting generators in 0.002430997 [ Info: Inclusion checked with probability 0.995 in 0.003715586 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.031796939 [ Info: Selecting generators in 0.003928014 [ Info: Inclusion checked with probability 0.995 in 0.006302802 seconds [ Info: The search for identifiable functions concluded in 0.085744124 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[d, c, a, x1(t), x2(t)*b] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*b + x1(t)*a │ x2'(t) = x1(t)*x2(t)*d - x2(t)*c │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), c, d, a, x2(t)*b]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 7 variables x1(t), x2(t), y(t), a, ..., d │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), a, b, c, d] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002665226 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002013661 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.964e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.009188426 [ Info: Selecting generators in 0.002705145 [ Info: Inclusion checked with probability 0.995 in 0.003740706 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.034300376 [ Info: Selecting generators in 0.004003963 [ Info: Inclusion checked with probability 0.995 in 0.005958146 seconds [ Info: The search for identifiable functions concluded in 0.090038235 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[d, c, a, x1(t), x2(t)*b] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*b + x1(t)*a │ x2'(t) = x1(t)*x2(t)*d - x2(t)*c │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), c, d, a, x2(t)*b]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 7 variables x1(t), x2(t), y(t), a, ..., d │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), a, b, c, d] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002604416 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001991212 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.009e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.008451302 [ Info: Selecting generators in 0.002454578 [ Info: Inclusion checked with probability 0.995 in 0.003542808 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.030255263 [ Info: Selecting generators in 0.003701316 [ Info: Inclusion checked with probability 0.995 in 0.005607528 seconds [ Info: The search for identifiable functions concluded in 0.082153217 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[d, c, a, x1(t), x2(t)*b] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*b + x1(t)*a │ x2'(t) = x1(t)*x2(t)*d - x2(t)*c │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), c, d, a, x2(t)*b]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 7 variables x1(t), x2(t), y(t), a, ..., d │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), a, b, c, d] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.00762025 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00546945 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 4.0419e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002391288 [ Info: Selecting generators in 0.010074167 [ Info: Inclusion checked with probability 0.995 in 0.00659669 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000151399 [ Info: Selecting generators in 0.013309888 [ Info: Inclusion checked with probability 0.995 in 0.010977349 seconds [ Info: The search for identifiable functions concluded in 0.408257109 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[λ3, λ2, λ1, β3, β2, β1, x3(t), x2(t), x1(t)] │ case = │ (ode = x1'(t) = x1(t)*λ1 + u1(t)*β1 │ x2'(t) = x2(t)*λ2 + u2(t)*β2 │ x3'(t) = x3(t)*λ3 + u3(t)*β3 │ y(t) = x1(t) + x2(t) + x3(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[λ1, λ2, λ3, β1, β2, β3, x1(t), x2(t), x3(t)]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 13 variables x1(t), x2(t), x3(t), y(t), ..., λ3 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.007049115 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004958635 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.3259e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.00223496 [ Info: Selecting generators in 0.009987639 [ Info: Inclusion checked with probability 0.995 in 0.006421111 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000145448 [ Info: Selecting generators in 0.013642035 [ Info: Inclusion checked with probability 0.995 in 0.011258006 seconds [ Info: The search for identifiable functions concluded in 0.112792356 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[λ3, λ2, λ1, β3, β2, β1, x3(t), x2(t), x1(t)] │ case = │ (ode = x1'(t) = x1(t)*λ1 + u1(t)*β1 │ x2'(t) = x2(t)*λ2 + u2(t)*β2 │ x3'(t) = x3(t)*λ3 + u3(t)*β3 │ y(t) = x1(t) + x2(t) + x3(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[λ1, λ2, λ3, β1, β2, β3, x1(t), x2(t), x3(t)]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 13 variables x1(t), x2(t), x3(t), y(t), ..., λ3 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.00760575 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005020394 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.8069e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002524747 [ Info: Selecting generators in 0.011382605 [ Info: Inclusion checked with probability 0.995 in 0.006731428 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000149669 [ Info: Selecting generators in 0.01319728 [ Info: Inclusion checked with probability 0.995 in 0.015808106 seconds [ Info: The search for identifiable functions concluded in 0.123501508 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[λ3, λ2, λ1, β3, β2, β1, x3(t), x2(t), x1(t)] │ case = │ (ode = x1'(t) = x1(t)*λ1 + u1(t)*β1 │ x2'(t) = x2(t)*λ2 + u2(t)*β2 │ x3'(t) = x3(t)*λ3 + u3(t)*β3 │ y(t) = x1(t) + x2(t) + x3(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[λ1, λ2, λ3, β1, β2, β3, x1(t), x2(t), x3(t)]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 13 variables x1(t), x2(t), x3(t), y(t), ..., λ3 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.007481031 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005413301 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.094e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002348039 [ Info: Selecting generators in 0.010546843 [ Info: Inclusion checked with probability 0.995 in 0.008277314 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.004561508 [ Info: Selecting generators in 0.014582006 [ Info: Inclusion checked with probability 0.995 in 0.011770322 seconds [ Info: The search for identifiable functions concluded in 0.12547528 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[λ3, λ2, λ1, β3, β2, β1, x3(t), x2(t), x1(t)] │ case = │ (ode = x1'(t) = x1(t)*λ1 + u1(t)*β1 │ x2'(t) = x2(t)*λ2 + u2(t)*β2 │ x3'(t) = x3(t)*λ3 + u3(t)*β3 │ y(t) = x1(t) + x2(t) + x3(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[λ1, λ2, λ3, β1, β2, β3, x1(t), x2(t), x3(t)]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 13 variables x1(t), x2(t), x3(t), y(t), ..., λ3 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), u1(t), u2(t), u3(t), β1, β2, β3, λ1, λ2, λ3] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.007779219 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.008316973 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.05e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002902743 [ Info: Selecting generators in 0.014137691 [ Info: Inclusion checked with probability 0.995 in 0.006695068 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.004906045 [ Info: Selecting generators in 0.013184959 [ Info: Inclusion checked with probability 0.995 in 0.012945072 seconds [ Info: The search for identifiable functions concluded in 0.143722763 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[λ3, λ2, λ1, β3, β2, β1, x3(t), x2(t), x1(t)] │ case = │ (ode = x1'(t) = x1(t)*λ1 + u1(t)*β1 │ x2'(t) = x2(t)*λ2 + u2(t)*β2 │ x3'(t) = x3(t)*λ3 + u3(t)*β3 │ y(t) = x1(t) + x2(t) + x3(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[λ1, λ2, λ3, β1, β2, β3, x1(t), x2(t), x3(t)]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 13 variables x1(t), x2(t), x3(t), y(t), ..., λ3 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), u1(t), u2(t), u3(t), β1, β2, β3, λ1, λ2, λ3] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.00872475 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006000515 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 2.792e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002417648 [ Info: Selecting generators in 0.011425135 [ Info: Inclusion checked with probability 0.995 in 0.007116465 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.004796046 [ Info: Selecting generators in 0.014440158 [ Info: Inclusion checked with probability 0.995 in 0.011745302 seconds [ Info: The search for identifiable functions concluded in 0.130648303 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[λ3, λ2, λ1, β3, β2, β1, x3(t), x2(t), x1(t)] │ case = │ (ode = x1'(t) = x1(t)*λ1 + u1(t)*β1 │ x2'(t) = x2(t)*λ2 + u2(t)*β2 │ x3'(t) = x3(t)*λ3 + u3(t)*β3 │ y(t) = x1(t) + x2(t) + x3(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[λ1, λ2, λ3, β1, β2, β3, x1(t), x2(t), x3(t)]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 13 variables x1(t), x2(t), x3(t), y(t), ..., λ3 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), u1(t), u2(t), u3(t), β1, β2, β3, λ1, λ2, λ3] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002118 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001254859 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.946e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.9559e-5 [ Info: Selecting generators in 0.000542015 [ Info: Inclusion checked with probability 0.995 in 0.003003763 seconds [ Info: The search for identifiable functions concluded in 0.014113971 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x1(t), x2(t)*Θ] │ case = │ (ode = x1'(t) = x1(t) + x2(t)*Θ │ x2'(t) = 0 │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), x2(t)*Θ]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 4 variables x1(t), x2(t), y(t), Θ │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001870483 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001274448 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.909e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000100419 [ Info: Selecting generators in 0.000564135 [ Info: Inclusion checked with probability 0.995 in 0.003101152 seconds [ Info: The search for identifiable functions concluded in 0.013964172 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x1(t), x2(t)*Θ] │ case = │ (ode = x1'(t) = x1(t) + x2(t)*Θ │ x2'(t) = 0 │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), x2(t)*Θ]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 4 variables x1(t), x2(t), y(t), Θ │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001962972 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00109795 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.88e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.2359e-5 [ Info: Selecting generators in 0.000544085 [ Info: Inclusion checked with probability 0.995 in 0.003013192 seconds [ Info: The search for identifiable functions concluded in 0.01413272 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x1(t), x2(t)*Θ] │ case = │ (ode = x1'(t) = x1(t) + x2(t)*Θ │ x2'(t) = 0 │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), x2(t)*Θ]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 4 variables x1(t), x2(t), y(t), Θ │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.00217663 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001319608 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 2.039e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006104074 [ Info: Selecting generators in 0.000686014 [ Info: Inclusion checked with probability 0.995 in 0.002943033 seconds [ Info: The search for identifiable functions concluded in 0.020307794 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x1(t), x2(t)*Θ] │ case = │ (ode = x1'(t) = x1(t) + x2(t)*Θ │ x2'(t) = 0 │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), x2(t)*Θ]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 4 variables x1(t), x2(t), y(t), Θ │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), Θ] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002285129 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001335118 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.856e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006263933 [ Info: Selecting generators in 0.000735573 [ Info: Inclusion checked with probability 0.995 in 0.003253931 seconds [ Info: The search for identifiable functions concluded in 0.021588982 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x1(t), x2(t)*Θ] │ case = │ (ode = x1'(t) = x1(t) + x2(t)*Θ │ x2'(t) = 0 │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), x2(t)*Θ]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 4 variables x1(t), x2(t), y(t), Θ │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), Θ] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002007492 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001218658 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.588e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006092624 [ Info: Selecting generators in 0.000709304 [ Info: Inclusion checked with probability 0.995 in 0.003021523 seconds [ Info: The search for identifiable functions concluded in 0.019839248 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x1(t), x2(t)*Θ] │ case = │ (ode = x1'(t) = x1(t) + x2(t)*Θ │ x2'(t) = 0 │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), x2(t)*Θ]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 4 variables x1(t), x2(t), y(t), Θ │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), Θ] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.004269731 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002440267 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.75e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002766914 [ Info: Selecting generators in 0.000945232 [ Info: Inclusion checked with probability 0.995 in 0.002293699 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000106489 [ Info: Selecting generators in 0.00536382 [ Info: Inclusion checked with probability 0.995 in 0.004844926 seconds [ Info: The search for identifiable functions concluded in 0.039672327 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x1(t), C*α, x3(t)*α, x2(t)*α] │ case = │ (ode = x1'(t) = x2(t)*α │ x2'(t) = x3(t) │ x3'(t) = C │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), x2(t)*α, x3(t)*α, C*α]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 6 variables x1(t), x2(t), x3(t), y(t), ..., α │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003972073 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002533667 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.94e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002964823 [ Info: Selecting generators in 0.00109347 [ Info: Inclusion checked with probability 0.995 in 0.002395808 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000116389 [ Info: Selecting generators in 0.005747417 [ Info: Inclusion checked with probability 0.995 in 0.004863496 seconds [ Info: The search for identifiable functions concluded in 0.041631519 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x1(t), C*α, x3(t)*α, x2(t)*α] │ case = │ (ode = x1'(t) = x2(t)*α │ x2'(t) = x3(t) │ x3'(t) = C │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), x2(t)*α, x3(t)*α, C*α]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 6 variables x1(t), x2(t), x3(t), y(t), ..., α │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003477468 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002593066 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.891e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002897634 [ Info: Selecting generators in 0.001010141 [ Info: Inclusion checked with probability 0.995 in 0.003447519 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000117639 [ Info: Selecting generators in 0.005685758 [ Info: Inclusion checked with probability 0.995 in 0.004767606 seconds [ Info: The search for identifiable functions concluded in 0.040876226 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x1(t), C*α, x3(t)*α, x2(t)*α] │ case = │ (ode = x1'(t) = x2(t)*α │ x2'(t) = x3(t) │ x3'(t) = C │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), x2(t)*α, x3(t)*α, C*α]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 6 variables x1(t), x2(t), x3(t), y(t), ..., α │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003828675 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002258999 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.616e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002917223 [ Info: Selecting generators in 0.001059551 [ Info: Inclusion checked with probability 0.995 in 0.002411728 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.033484193 [ Info: Selecting generators in 0.005824246 [ Info: Inclusion checked with probability 0.995 in 0.004561729 seconds [ Info: The search for identifiable functions concluded in 0.073596896 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x1(t), C*α, x3(t)*α, x2(t)*α] │ case = │ (ode = x1'(t) = x2(t)*α │ x2'(t) = x3(t) │ x3'(t) = C │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), x2(t)*α, x3(t)*α, C*α]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 6 variables x1(t), x2(t), x3(t), y(t), ..., α │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), C, α] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003619387 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002391028 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.002e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002627606 [ Info: Selecting generators in 0.000938101 [ Info: Inclusion checked with probability 0.995 in 0.00211876 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.032976928 [ Info: Selecting generators in 0.005703708 [ Info: Inclusion checked with probability 0.995 in 0.004225141 seconds [ Info: The search for identifiable functions concluded in 0.071581294 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x1(t), C*α, x3(t)*α, x2(t)*α] │ case = │ (ode = x1'(t) = x2(t)*α │ x2'(t) = x3(t) │ x3'(t) = C │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), x2(t)*α, x3(t)*α, C*α]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 6 variables x1(t), x2(t), x3(t), y(t), ..., α │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), C, α] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003668816 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002685145 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.966e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002641406 [ Info: Selecting generators in 0.000973091 [ Info: Inclusion checked with probability 0.995 in 0.003303919 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.034332926 [ Info: Selecting generators in 0.005956365 [ Info: Inclusion checked with probability 0.995 in 1.298392583 seconds [ Info: The search for identifiable functions concluded in 1.369297443 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x1(t), C*α, x3(t)*α, x2(t)*α] │ case = │ (ode = x1'(t) = x2(t)*α │ x2'(t) = x3(t) │ x3'(t) = C │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), x2(t)*α, x3(t)*α, C*α]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 6 variables x1(t), x2(t), x3(t), y(t), ..., α │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), C, α] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002727255 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001773503 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.1899e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000492326 [ Info: Selecting generators in 0.000806923 [ Info: Inclusion checked with probability 0.995 in 0.00215014 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000101099 [ Info: Selecting generators in 0.001993912 [ Info: Inclusion checked with probability 0.995 in 0.003534668 seconds [ Info: The search for identifiable functions concluded in 0.528548717 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[α, x1(t)^2 + x2(t)^2] │ case = │ (ode = x1'(t) = x1(t)*α - x2(t)*α │ x2'(t) = x1(t)*α + x2(t)*α │ y(t) = 1//2*x1(t)^2 + 1//2*x2(t)^2 │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[α, x1(t)^2 + x2(t)^2]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 4 variables x1(t), x2(t), y(t), α │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002686916 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001690095 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.956e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000471826 [ Info: Selecting generators in 0.000838032 [ Info: Inclusion checked with probability 0.995 in 0.002102211 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.8789e-5 [ Info: Selecting generators in 0.002000421 [ Info: Inclusion checked with probability 0.995 in 0.003452299 seconds [ Info: The search for identifiable functions concluded in 0.026856624 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[α, x1(t)^2 + x2(t)^2] │ case = │ (ode = x1'(t) = x1(t)*α - x2(t)*α │ x2'(t) = x1(t)*α + x2(t)*α │ y(t) = 1//2*x1(t)^2 + 1//2*x2(t)^2 │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[α, x1(t)^2 + x2(t)^2]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 4 variables x1(t), x2(t), y(t), α │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002643226 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001668154 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.764e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000438196 [ Info: Selecting generators in 0.000728984 [ Info: Inclusion checked with probability 0.995 in 0.001987642 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000115999 [ Info: Selecting generators in 0.002187319 [ Info: Inclusion checked with probability 0.995 in 0.003906635 seconds [ Info: The search for identifiable functions concluded in 0.027825635 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[α, x1(t)^2 + x2(t)^2] │ case = │ (ode = x1'(t) = x1(t)*α - x2(t)*α │ x2'(t) = x1(t)*α + x2(t)*α │ y(t) = 1//2*x1(t)^2 + 1//2*x2(t)^2 │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[α, x1(t)^2 + x2(t)^2]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 4 variables x1(t), x2(t), y(t), α │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002681565 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001710404 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.509e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000449646 [ Info: Selecting generators in 0.000832993 [ Info: Inclusion checked with probability 0.995 in 0.002246239 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.007285823 [ Info: Selecting generators in 0.002321969 [ Info: Inclusion checked with probability 0.995 in 0.003761075 seconds [ Info: The search for identifiable functions concluded in 0.037443186 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[α, x1(t)^2 + x2(t)^2] │ case = │ (ode = x1'(t) = x1(t)*α - x2(t)*α │ x2'(t) = x1(t)*α + x2(t)*α │ y(t) = 1//2*x1(t)^2 + 1//2*x2(t)^2 │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[α, x1(t)^2 + x2(t)^2]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 4 variables x1(t), x2(t), y(t), α │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), α] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002654526 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001708594 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.022e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000466316 [ Info: Selecting generators in 0.000873712 [ Info: Inclusion checked with probability 0.995 in 0.002336729 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.007052626 [ Info: Selecting generators in 0.001910432 [ Info: Inclusion checked with probability 0.995 in 0.003332029 seconds [ Info: The search for identifiable functions concluded in 0.036182918 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[α, x1(t)^2 + x2(t)^2] │ case = │ (ode = x1'(t) = x1(t)*α - x2(t)*α │ x2'(t) = x1(t)*α + x2(t)*α │ y(t) = 1//2*x1(t)^2 + 1//2*x2(t)^2 │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[α, x1(t)^2 + x2(t)^2]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 4 variables x1(t), x2(t), y(t), α │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), α] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002552736 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001518376 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.915e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000464526 [ Info: Selecting generators in 0.000788923 [ Info: Inclusion checked with probability 0.995 in 0.001964783 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006609999 [ Info: Selecting generators in 0.00214314 [ Info: Inclusion checked with probability 0.995 in 0.003475489 seconds [ Info: The search for identifiable functions concluded in 0.033151896 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[α, x1(t)^2 + x2(t)^2] │ case = │ (ode = x1'(t) = x1(t)*α - x2(t)*α │ x2'(t) = x1(t)*α + x2(t)*α │ y(t) = 1//2*x1(t)^2 + 1//2*x2(t)^2 │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[α, x1(t)^2 + x2(t)^2]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 4 variables x1(t), x2(t), y(t), α │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), α] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001655625 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001527266 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.7599e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006108484 [ Info: Selecting generators in 0.002545557 [ Info: Inclusion checked with probability 0.995 in 0.002907183 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000108779 [ Info: Selecting generators in 0.003008432 [ Info: Inclusion checked with probability 0.995 in 0.004166192 seconds [ Info: The search for identifiable functions concluded in 0.040030603 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a, b*c, x(t)*c] │ case = │ (ode = x'(t) = x(t)*a + u(t)*b │ y(t) = x(t)*c │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[a, b*c, x(t)*c]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 6 variables x(t), y(t), u(t), a, ..., c │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001501426 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001279918 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.753e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.024413906 [ Info: Selecting generators in 0.003134821 [ Info: Inclusion checked with probability 0.995 in 0.003560558 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000152459 [ Info: Selecting generators in 0.003143821 [ Info: Inclusion checked with probability 0.995 in 0.004432529 seconds [ Info: The search for identifiable functions concluded in 0.061455557 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a, b*c, x(t)*c] │ case = │ (ode = x'(t) = x(t)*a + u(t)*b │ y(t) = x(t)*c │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[a, b*c, x(t)*c]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 6 variables x(t), y(t), u(t), a, ..., c │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001684824 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001492656 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.6299e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006913696 [ Info: Selecting generators in 0.002638876 [ Info: Inclusion checked with probability 0.995 in 0.0033331 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000114619 [ Info: Selecting generators in 0.00324058 [ Info: Inclusion checked with probability 0.995 in 0.004237441 seconds [ Info: The search for identifiable functions concluded in 0.043785099 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a, b*c, x(t)*c] │ case = │ (ode = x'(t) = x(t)*a + u(t)*b │ y(t) = x(t)*c │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[a, b*c, x(t)*c]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 6 variables x(t), y(t), u(t), a, ..., c │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.004825525 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001307608 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 3.568e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.009669451 [ Info: Selecting generators in 0.002754925 [ Info: Inclusion checked with probability 0.995 in 0.00328858 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.022285876 [ Info: Selecting generators in 0.003027342 [ Info: Inclusion checked with probability 0.995 in 0.004638128 seconds [ Info: The search for identifiable functions concluded in 0.076361001 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a, b*c, x(t)*c] │ case = │ (ode = x'(t) = x(t)*a + u(t)*b │ y(t) = x(t)*c │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[a, b*c, x(t)*c]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 6 variables x(t), y(t), u(t), a, ..., c │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x(t), y(t), u(t), a, b, c] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001639935 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001325008 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.125e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.007069766 [ Info: Selecting generators in 0.002653366 [ Info: Inclusion checked with probability 0.995 in 0.003310339 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.023454195 [ Info: Selecting generators in 0.003547417 [ Info: Inclusion checked with probability 0.995 in 0.00441478 seconds [ Info: The search for identifiable functions concluded in 0.065065124 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a, b*c, x(t)*c] │ case = │ (ode = x'(t) = x(t)*a + u(t)*b │ y(t) = x(t)*c │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[a, b*c, x(t)*c]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 6 variables x(t), y(t), u(t), a, ..., c │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x(t), y(t), u(t), a, b, c] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001451107 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001298838 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.883e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.007037356 [ Info: Selecting generators in 0.002442948 [ Info: Inclusion checked with probability 0.995 in 0.002970153 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.019546101 [ Info: Selecting generators in 0.003124661 [ Info: Inclusion checked with probability 0.995 in 0.004241301 seconds [ Info: The search for identifiable functions concluded in 0.05890403 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a, b*c, x(t)*c] │ case = │ (ode = x'(t) = x(t)*a + u(t)*b │ y(t) = x(t)*c │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[a, b*c, x(t)*c]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 6 variables x(t), y(t), u(t), a, ..., c │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x(t), y(t), u(t), a, b, c] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.006647129 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005811077 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.266e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.014842814 [ Info: Selecting generators in 0.004572008 [ Info: Inclusion checked with probability 0.995 in 0.005017574 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000138759 [ Info: Selecting generators in 0.029470319 [ Info: Inclusion checked with probability 0.995 in 0.011858792 seconds [ Info: The search for identifiable functions concluded in 0.13859331 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x3(t), p1 + p3, p2*p4, p1*p3, x1(t)*x2(t), x1(t)*p4 + x2(t)*p2, x1(t)*p1*p4 + x2(t)*p2*p3] │ case = │ (ode = x1'(t) = -x1(t)*p1 + u(t)*p2 │ x2'(t) = -x2(t)*p3 + u(t)*p4 │ x3'(t) = x1(t)*u(t)*p4 + x2(t)*u(t)*p2 - x3(t)*p1 - x3(t)*p3 │ y1(t) = x3(t) │ , with_states = true, ident_funcs = AbstractAlgebra.RingElem[x3(t), x1(t)*x2(t), p1*p3, p2*p4, p1 + p3, x1(t)*p4 + x2(t)*p2, x1(t)*p1*p4 + x2(t)*p2*p3]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), x3(t), y1(t), ..., p4 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.00652442 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005315172 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.726e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.01643498 [ Info: Selecting generators in 0.00432302 [ Info: Inclusion checked with probability 0.995 in 0.005018804 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000170239 [ Info: Selecting generators in 0.031089075 [ Info: Inclusion checked with probability 0.995 in 0.01093057 seconds [ Info: The search for identifiable functions concluded in 0.144145639 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x3(t), p1 + p3, p2*p4, p1*p3, x1(t)*x2(t), x1(t)*p4 + x2(t)*p2, x1(t)*p1*p4 + x2(t)*p2*p3] │ case = │ (ode = x1'(t) = -x1(t)*p1 + u(t)*p2 │ x2'(t) = -x2(t)*p3 + u(t)*p4 │ x3'(t) = x1(t)*u(t)*p4 + x2(t)*u(t)*p2 - x3(t)*p1 - x3(t)*p3 │ y1(t) = x3(t) │ , with_states = true, ident_funcs = AbstractAlgebra.RingElem[x3(t), x1(t)*x2(t), p1*p3, p2*p4, p1 + p3, x1(t)*p4 + x2(t)*p2, x1(t)*p1*p4 + x2(t)*p2*p3]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), x3(t), y1(t), ..., p4 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.006656509 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005141473 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 3.7869e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.014988263 [ Info: Selecting generators in 0.004746637 [ Info: Inclusion checked with probability 0.995 in 0.005322811 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000153418 [ Info: Selecting generators in 0.028491729 [ Info: Inclusion checked with probability 0.995 in 0.01094405 seconds [ Info: The search for identifiable functions concluded in 0.139416023 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x3(t), p1 + p3, p2*p4, p1*p3, x1(t)*x2(t), x1(t)*p4 + x2(t)*p2, x1(t)*p1*p4 + x2(t)*p2*p3] │ case = │ (ode = x1'(t) = -x1(t)*p1 + u(t)*p2 │ x2'(t) = -x2(t)*p3 + u(t)*p4 │ x3'(t) = x1(t)*u(t)*p4 + x2(t)*u(t)*p2 - x3(t)*p1 - x3(t)*p3 │ y1(t) = x3(t) │ , with_states = true, ident_funcs = AbstractAlgebra.RingElem[x3(t), x1(t)*x2(t), p1*p3, p2*p4, p1 + p3, x1(t)*p4 + x2(t)*p2, x1(t)*p1*p4 + x2(t)*p2*p3]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), x3(t), y1(t), ..., p4 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.006197043 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005275662 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 3.224e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.01419882 [ Info: Selecting generators in 0.004667948 [ Info: Inclusion checked with probability 0.995 in 0.004990094 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.125820617 [ Info: Selecting generators in 0.034380995 [ Info: Inclusion checked with probability 0.995 in 0.011876362 seconds [ Info: The search for identifiable functions concluded in 0.267993684 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x3(t), p1 + p3, p2*p4, p1*p3, x1(t)*x2(t), x1(t)*p4 + x2(t)*p2, x1(t)*p1*p4 + x2(t)*p2*p3] │ case = │ (ode = x1'(t) = -x1(t)*p1 + u(t)*p2 │ x2'(t) = -x2(t)*p3 + u(t)*p4 │ x3'(t) = x1(t)*u(t)*p4 + x2(t)*u(t)*p2 - x3(t)*p1 - x3(t)*p3 │ y1(t) = x3(t) │ , with_states = true, ident_funcs = AbstractAlgebra.RingElem[x3(t), x1(t)*x2(t), p1*p3, p2*p4, p1 + p3, x1(t)*p4 + x2(t)*p2, x1(t)*p1*p4 + x2(t)*p2*p3]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), x3(t), y1(t), ..., p4 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y1(t), u(t), p1, p2, p3, p4] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.00657559 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005802867 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 3.11e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.01531347 [ Info: Selecting generators in 0.005099833 [ Info: Inclusion checked with probability 0.995 in 0.005719458 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.163133355 [ Info: Selecting generators in 0.066421131 [ Info: Inclusion checked with probability 0.995 in 0.011359206 seconds [ Info: The search for identifiable functions concluded in 0.34265345 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x3(t), p1 + p3, p2*p4, p1*p3, x1(t)*x2(t), x1(t)*p4 + x2(t)*p2, x1(t)*p1*p4 + x2(t)*p2*p3] │ case = │ (ode = x1'(t) = -x1(t)*p1 + u(t)*p2 │ x2'(t) = -x2(t)*p3 + u(t)*p4 │ x3'(t) = x1(t)*u(t)*p4 + x2(t)*u(t)*p2 - x3(t)*p1 - x3(t)*p3 │ y1(t) = x3(t) │ , with_states = true, ident_funcs = AbstractAlgebra.RingElem[x3(t), x1(t)*x2(t), p1*p3, p2*p4, p1 + p3, x1(t)*p4 + x2(t)*p2, x1(t)*p1*p4 + x2(t)*p2*p3]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), x3(t), y1(t), ..., p4 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y1(t), u(t), p1, p2, p3, p4] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.005998355 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005279931 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.642e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.015024893 [ Info: Selecting generators in 0.005011384 [ Info: Inclusion checked with probability 0.995 in 0.005170862 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.122546827 [ Info: Selecting generators in 0.033219516 [ Info: Inclusion checked with probability 0.995 in 0.011886391 seconds [ Info: The search for identifiable functions concluded in 0.269858207 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x3(t), p1 + p3, p2*p4, p1*p3, x1(t)*x2(t), x1(t)*p4 + x2(t)*p2, x1(t)*p1*p4 + x2(t)*p2*p3] │ case = │ (ode = x1'(t) = -x1(t)*p1 + u(t)*p2 │ x2'(t) = -x2(t)*p3 + u(t)*p4 │ x3'(t) = x1(t)*u(t)*p4 + x2(t)*u(t)*p2 - x3(t)*p1 - x3(t)*p3 │ y1(t) = x3(t) │ , with_states = true, ident_funcs = AbstractAlgebra.RingElem[x3(t), x1(t)*x2(t), p1*p3, p2*p4, p1 + p3, x1(t)*p4 + x2(t)*p2, x1(t)*p1*p4 + x2(t)*p2*p3]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), x3(t), y1(t), ..., p4 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y1(t), u(t), p1, p2, p3, p4] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.232983435 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.392397944 seconds [ Info: Dimensions of the Wronskians [145, 18, 9] [ Info: Ranks of the Wronskians computed in 0.001611165 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:08 ✓ # Computing specializations.. Time: 0:00:08 [ Info: Search for polynomial generators concluded in 11.861101579 [ Info: Selecting generators in 0.103959037 [ Info: Inclusion checked with probability 0.995 in 8.116638049 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:21 ✓ # Computing specializations.. Time: 0:00:21 [ Info: Search for polynomial generators concluded in 0.000503506 [ Info: Selecting generators in 0.267335337 [ Info: Inclusion checked with probability 0.995 in 25.049042889 seconds [ Info: The search for identifiable functions concluded in 88.585371011 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[reaction_8_k1, reaction_7_k1, reaction_6_k1, reaction_5_k2, reaction_4_k1, reaction_3_k1, reaction_2_k2, reaction_1_k1 - reaction_1_k2 - reaction_9_k1, pS6(t)*reaction_5_k1, reaction_2_k1//reaction_5_k1, a3//reaction_5_k1, a2//reaction_5_k1, a1//reaction_5_k1, pAkt_S6(t)//pS6(t), S6(t)//pS6(t), pAkt(t)//pS6(t), Akt(t)//pS6(t), pEGFR_Akt(t)//pS6(t), pEGFR(t)//pS6(t), (EGF_EGFR(t)*reaction_9_k1)//pS6(t)] │ case = │ (ode = EGFR'(t) = -EGFR(t)*EGFR_turnover - EGF_EGFR(t)*reaction_1_k1 + EGF_EGFR(t)*reaction_1_k2 + pro_EGFR(t)*EGFR_turnover │ pEGFR'(t) = -pEGFR(t)*Akt(t)*reaction_2_k1 - pEGFR(t)*reaction_4_k1 + pEGFR_Akt(t)*reaction_2_k2 + pEGFR_Akt(t)*reaction_3_k1 + EGF_EGFR(t)*reaction_9_k1 │ pEGFR_Akt'(t) = pEGFR(t)*Akt(t)*reaction_2_k1 - pEGFR_Akt(t)*reaction_2_k2 - pEGFR_Akt(t)*reaction_3_k1 │ Akt'(t) = -pEGFR(t)*Akt(t)*reaction_2_k1 + pEGFR_Akt(t)*reaction_2_k2 + pAkt(t)*reaction_7_k1 │ pAkt'(t) = pEGFR_Akt(t)*reaction_3_k1 - pAkt(t)*S6(t)*reaction_5_k1 - pAkt(t)*reaction_7_k1 + pAkt_S6(t)*reaction_5_k2 + pAkt_S6(t)*reaction_6_k1 │ S6'(t) = -pAkt(t)*S6(t)*reaction_5_k1 + pAkt_S6(t)*reaction_5_k2 + pS6(t)*reaction_8_k1 │ pAkt_S6'(t) = pAkt(t)*S6(t)*reaction_5_k1 - pAkt_S6(t)*reaction_5_k2 - pAkt_S6(t)*reaction_6_k1 │ pS6'(t) = pAkt_S6(t)*reaction_6_k1 - pS6(t)*reaction_8_k1 │ EGF_EGFR'(t) = EGF_EGFR(t)*reaction_1_k1 - EGF_EGFR(t)*reaction_1_k2 - EGF_EGFR(t)*reaction_9_k1 │ y1(t) = pEGFR(t)*a1 + pEGFR_Akt(t)*a1 │ y2(t) = pAkt(t)*a2 + pAkt_S6(t)*a2 │ y3(t) = pS6(t)*a3 │ , with_states = true, ident_funcs = AbstractAlgebra.RingElem[reaction_8_k1, a3//reaction_5_k1, reaction_3_k1, reaction_2_k2, pAkt(t)*reaction_5_k1, pEGFR(t)*reaction_5_k1, reaction_2_k1//reaction_5_k1, a1//reaction_5_k1, pS6(t)*reaction_5_k1, reaction_5_k2, reaction_6_k1, a2//reaction_5_k1, reaction_7_k1, reaction_4_k1, pAkt_S6(t)*reaction_5_k1, reaction_1_k1 - reaction_1_k2 - reaction_9_k1, pEGFR_Akt(t)*reaction_5_k1, S6(t)*reaction_5_k1, EGF_EGFR(t)*reaction_5_k1*reaction_9_k1, Akt(t)*reaction_5_k1]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 29 variables EGFR(t), pEGFR(t), pEGFR_Akt(t), Akt(t), ..., reaction_9_k1 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.237217922 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.399555062 seconds [ Info: Dimensions of the Wronskians [145, 18, 9] [ Info: Ranks of the Wronskians computed in 0.001825973 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 9.740979505 [ Info: Selecting generators in 0.110406616 [ Info: Inclusion checked with probability 0.995 in 0.140799277 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000897252 [ Info: Selecting generators in 0.284402528 [ Info: Inclusion checked with probability 0.995 in 0.069614031 seconds [ Info: The search for identifiable functions concluded in 13.452400511 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[reaction_8_k1, reaction_7_k1, reaction_6_k1, reaction_5_k2, reaction_4_k1, reaction_3_k1, reaction_2_k2, reaction_1_k1 - reaction_1_k2 - reaction_9_k1, pS6(t)*reaction_5_k1, reaction_2_k1//reaction_5_k1, a3//reaction_5_k1, a2//reaction_5_k1, a1//reaction_5_k1, pAkt_S6(t)//pS6(t), S6(t)//pS6(t), pAkt(t)//pS6(t), Akt(t)//pS6(t), pEGFR_Akt(t)//pS6(t), pEGFR(t)//pS6(t), (EGF_EGFR(t)*reaction_9_k1)//pS6(t)] │ case = │ (ode = EGFR'(t) = -EGFR(t)*EGFR_turnover - EGF_EGFR(t)*reaction_1_k1 + EGF_EGFR(t)*reaction_1_k2 + pro_EGFR(t)*EGFR_turnover │ pEGFR'(t) = -pEGFR(t)*Akt(t)*reaction_2_k1 - pEGFR(t)*reaction_4_k1 + pEGFR_Akt(t)*reaction_2_k2 + pEGFR_Akt(t)*reaction_3_k1 + EGF_EGFR(t)*reaction_9_k1 │ pEGFR_Akt'(t) = pEGFR(t)*Akt(t)*reaction_2_k1 - pEGFR_Akt(t)*reaction_2_k2 - pEGFR_Akt(t)*reaction_3_k1 │ Akt'(t) = -pEGFR(t)*Akt(t)*reaction_2_k1 + pEGFR_Akt(t)*reaction_2_k2 + pAkt(t)*reaction_7_k1 │ pAkt'(t) = pEGFR_Akt(t)*reaction_3_k1 - pAkt(t)*S6(t)*reaction_5_k1 - pAkt(t)*reaction_7_k1 + pAkt_S6(t)*reaction_5_k2 + pAkt_S6(t)*reaction_6_k1 │ S6'(t) = -pAkt(t)*S6(t)*reaction_5_k1 + pAkt_S6(t)*reaction_5_k2 + pS6(t)*reaction_8_k1 │ pAkt_S6'(t) = pAkt(t)*S6(t)*reaction_5_k1 - pAkt_S6(t)*reaction_5_k2 - pAkt_S6(t)*reaction_6_k1 │ pS6'(t) = pAkt_S6(t)*reaction_6_k1 - pS6(t)*reaction_8_k1 │ EGF_EGFR'(t) = EGF_EGFR(t)*reaction_1_k1 - EGF_EGFR(t)*reaction_1_k2 - EGF_EGFR(t)*reaction_9_k1 │ y1(t) = pEGFR(t)*a1 + pEGFR_Akt(t)*a1 │ y2(t) = pAkt(t)*a2 + pAkt_S6(t)*a2 │ y3(t) = pS6(t)*a3 │ , with_states = true, ident_funcs = AbstractAlgebra.RingElem[reaction_8_k1, a3//reaction_5_k1, reaction_3_k1, reaction_2_k2, pAkt(t)*reaction_5_k1, pEGFR(t)*reaction_5_k1, reaction_2_k1//reaction_5_k1, a1//reaction_5_k1, pS6(t)*reaction_5_k1, reaction_5_k2, reaction_6_k1, a2//reaction_5_k1, reaction_7_k1, reaction_4_k1, pAkt_S6(t)*reaction_5_k1, reaction_1_k1 - reaction_1_k2 - reaction_9_k1, pEGFR_Akt(t)*reaction_5_k1, S6(t)*reaction_5_k1, EGF_EGFR(t)*reaction_5_k1*reaction_9_k1, Akt(t)*reaction_5_k1]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 29 variables EGFR(t), pEGFR(t), pEGFR_Akt(t), Akt(t), ..., reaction_9_k1 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.66104921 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.382819055 seconds [ Info: Dimensions of the Wronskians [145, 18, 9] [ Info: Ranks of the Wronskians computed in 0.001882313 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 9.224427806 [ Info: Selecting generators in 0.095368634 [ Info: Inclusion checked with probability 0.995 in 0.139390679 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000598565 [ Info: Selecting generators in 0.285101691 [ Info: Inclusion checked with probability 0.995 in 0.072759692 seconds [ Info: The search for identifiable functions concluded in 13.239699312 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[reaction_8_k1, reaction_7_k1, reaction_6_k1, reaction_5_k2, reaction_4_k1, reaction_3_k1, reaction_2_k2, reaction_1_k1 - reaction_1_k2 - reaction_9_k1, pS6(t)*reaction_5_k1, reaction_2_k1//reaction_5_k1, a3//reaction_5_k1, a2//reaction_5_k1, a1//reaction_5_k1, pAkt_S6(t)//pS6(t), S6(t)//pS6(t), pAkt(t)//pS6(t), Akt(t)//pS6(t), pEGFR_Akt(t)//pS6(t), pEGFR(t)//pS6(t), (EGF_EGFR(t)*reaction_9_k1)//pS6(t)] │ case = │ (ode = EGFR'(t) = -EGFR(t)*EGFR_turnover - EGF_EGFR(t)*reaction_1_k1 + EGF_EGFR(t)*reaction_1_k2 + pro_EGFR(t)*EGFR_turnover │ pEGFR'(t) = -pEGFR(t)*Akt(t)*reaction_2_k1 - pEGFR(t)*reaction_4_k1 + pEGFR_Akt(t)*reaction_2_k2 + pEGFR_Akt(t)*reaction_3_k1 + EGF_EGFR(t)*reaction_9_k1 │ pEGFR_Akt'(t) = pEGFR(t)*Akt(t)*reaction_2_k1 - pEGFR_Akt(t)*reaction_2_k2 - pEGFR_Akt(t)*reaction_3_k1 │ Akt'(t) = -pEGFR(t)*Akt(t)*reaction_2_k1 + pEGFR_Akt(t)*reaction_2_k2 + pAkt(t)*reaction_7_k1 │ pAkt'(t) = pEGFR_Akt(t)*reaction_3_k1 - pAkt(t)*S6(t)*reaction_5_k1 - pAkt(t)*reaction_7_k1 + pAkt_S6(t)*reaction_5_k2 + pAkt_S6(t)*reaction_6_k1 │ S6'(t) = -pAkt(t)*S6(t)*reaction_5_k1 + pAkt_S6(t)*reaction_5_k2 + pS6(t)*reaction_8_k1 │ pAkt_S6'(t) = pAkt(t)*S6(t)*reaction_5_k1 - pAkt_S6(t)*reaction_5_k2 - pAkt_S6(t)*reaction_6_k1 │ pS6'(t) = pAkt_S6(t)*reaction_6_k1 - pS6(t)*reaction_8_k1 │ EGF_EGFR'(t) = EGF_EGFR(t)*reaction_1_k1 - EGF_EGFR(t)*reaction_1_k2 - EGF_EGFR(t)*reaction_9_k1 │ y1(t) = pEGFR(t)*a1 + pEGFR_Akt(t)*a1 │ y2(t) = pAkt(t)*a2 + pAkt_S6(t)*a2 │ y3(t) = pS6(t)*a3 │ , with_states = true, ident_funcs = AbstractAlgebra.RingElem[reaction_8_k1, a3//reaction_5_k1, reaction_3_k1, reaction_2_k2, pAkt(t)*reaction_5_k1, pEGFR(t)*reaction_5_k1, reaction_2_k1//reaction_5_k1, a1//reaction_5_k1, pS6(t)*reaction_5_k1, reaction_5_k2, reaction_6_k1, a2//reaction_5_k1, reaction_7_k1, reaction_4_k1, pAkt_S6(t)*reaction_5_k1, reaction_1_k1 - reaction_1_k2 - reaction_9_k1, pEGFR_Akt(t)*reaction_5_k1, S6(t)*reaction_5_k1, EGF_EGFR(t)*reaction_5_k1*reaction_9_k1, Akt(t)*reaction_5_k1]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 29 variables EGFR(t), pEGFR(t), pEGFR_Akt(t), Akt(t), ..., reaction_9_k1 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.200239991 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.880011328 seconds [ Info: Dimensions of the Wronskians [145, 18, 9] [ Info: Ranks of the Wronskians computed in 0.001862223 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 9.352105082 [ Info: Selecting generators in 0.091720027 [ Info: Inclusion checked with probability 0.995 in 0.138891734 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 115.335028947 [ Info: Selecting generators in 0.951888266 [ Info: Inclusion checked with probability 0.995 in 0.073295456 seconds [ Info: The search for identifiable functions concluded in 127.85376555 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[reaction_8_k1, reaction_7_k1, reaction_6_k1, reaction_5_k2, reaction_4_k1, reaction_3_k1, reaction_2_k2, reaction_1_k1 - reaction_1_k2 - reaction_9_k1, pS6(t)*reaction_5_k1, pAkt_S6(t)*reaction_5_k1, S6(t)*reaction_5_k1, pAkt(t)*reaction_5_k1, Akt(t)*reaction_5_k1, pEGFR_Akt(t)*reaction_5_k1, pEGFR(t)*reaction_5_k1, reaction_2_k1//reaction_5_k1, a3//reaction_5_k1, a2//reaction_5_k1, a1//reaction_5_k1, EGF_EGFR(t)*reaction_5_k1*reaction_9_k1] │ case = │ (ode = EGFR'(t) = -EGFR(t)*EGFR_turnover - EGF_EGFR(t)*reaction_1_k1 + EGF_EGFR(t)*reaction_1_k2 + pro_EGFR(t)*EGFR_turnover │ pEGFR'(t) = -pEGFR(t)*Akt(t)*reaction_2_k1 - pEGFR(t)*reaction_4_k1 + pEGFR_Akt(t)*reaction_2_k2 + pEGFR_Akt(t)*reaction_3_k1 + EGF_EGFR(t)*reaction_9_k1 │ pEGFR_Akt'(t) = pEGFR(t)*Akt(t)*reaction_2_k1 - pEGFR_Akt(t)*reaction_2_k2 - pEGFR_Akt(t)*reaction_3_k1 │ Akt'(t) = -pEGFR(t)*Akt(t)*reaction_2_k1 + pEGFR_Akt(t)*reaction_2_k2 + pAkt(t)*reaction_7_k1 │ pAkt'(t) = pEGFR_Akt(t)*reaction_3_k1 - pAkt(t)*S6(t)*reaction_5_k1 - pAkt(t)*reaction_7_k1 + pAkt_S6(t)*reaction_5_k2 + pAkt_S6(t)*reaction_6_k1 │ S6'(t) = -pAkt(t)*S6(t)*reaction_5_k1 + pAkt_S6(t)*reaction_5_k2 + pS6(t)*reaction_8_k1 │ pAkt_S6'(t) = pAkt(t)*S6(t)*reaction_5_k1 - pAkt_S6(t)*reaction_5_k2 - pAkt_S6(t)*reaction_6_k1 │ pS6'(t) = pAkt_S6(t)*reaction_6_k1 - pS6(t)*reaction_8_k1 │ EGF_EGFR'(t) = EGF_EGFR(t)*reaction_1_k1 - EGF_EGFR(t)*reaction_1_k2 - EGF_EGFR(t)*reaction_9_k1 │ y1(t) = pEGFR(t)*a1 + pEGFR_Akt(t)*a1 │ y2(t) = pAkt(t)*a2 + pAkt_S6(t)*a2 │ y3(t) = pS6(t)*a3 │ , with_states = true, ident_funcs = AbstractAlgebra.RingElem[reaction_8_k1, a3//reaction_5_k1, reaction_3_k1, reaction_2_k2, pAkt(t)*reaction_5_k1, pEGFR(t)*reaction_5_k1, reaction_2_k1//reaction_5_k1, a1//reaction_5_k1, pS6(t)*reaction_5_k1, reaction_5_k2, reaction_6_k1, a2//reaction_5_k1, reaction_7_k1, reaction_4_k1, pAkt_S6(t)*reaction_5_k1, reaction_1_k1 - reaction_1_k2 - reaction_9_k1, pEGFR_Akt(t)*reaction_5_k1, S6(t)*reaction_5_k1, EGF_EGFR(t)*reaction_5_k1*reaction_9_k1, Akt(t)*reaction_5_k1]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 29 variables EGFR(t), pEGFR(t), pEGFR_Akt(t), Akt(t), ..., reaction_9_k1 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[EGFR(t), pEGFR(t), pEGFR_Akt(t), Akt(t), pAkt(t), S6(t), pAkt_S6(t), pS6(t), EGF_EGFR(t), y1(t), y2(t), y3(t), pro_EGFR(t), EGFR_turnover, a1, a2, a3, reaction_1_k1, reaction_1_k2, reaction_2_k1, reaction_2_k2, reaction_3_k1, reaction_4_k1, reaction_5_k1, reaction_5_k2, reaction_6_k1, reaction_7_k1, reaction_8_k1, reaction_9_k1] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.198420303 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.375093797 seconds [ Info: Dimensions of the Wronskians [145, 18, 9] [ Info: Ranks of the Wronskians computed in 0.001571816 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 9.565713401 [ Info: Selecting generators in 0.107113884 [ Info: Inclusion checked with probability 0.995 in 0.146210514 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 102.054061522 [ Info: Selecting generators in 0.950327843 [ Info: Inclusion checked with probability 0.995 in 0.069021643 seconds [ Info: The search for identifiable functions concluded in 114.200420693 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[reaction_8_k1, reaction_7_k1, reaction_6_k1, reaction_5_k2, reaction_4_k1, reaction_3_k1, reaction_2_k2, reaction_1_k1 - reaction_1_k2 - reaction_9_k1, pS6(t)*reaction_5_k1, pAkt_S6(t)*reaction_5_k1, S6(t)*reaction_5_k1, pAkt(t)*reaction_5_k1, Akt(t)*reaction_5_k1, pEGFR_Akt(t)*reaction_5_k1, pEGFR(t)*reaction_5_k1, reaction_2_k1//reaction_5_k1, a3//reaction_5_k1, a2//reaction_5_k1, a1//reaction_5_k1, EGF_EGFR(t)*reaction_5_k1*reaction_9_k1] │ case = │ (ode = EGFR'(t) = -EGFR(t)*EGFR_turnover - EGF_EGFR(t)*reaction_1_k1 + EGF_EGFR(t)*reaction_1_k2 + pro_EGFR(t)*EGFR_turnover │ pEGFR'(t) = -pEGFR(t)*Akt(t)*reaction_2_k1 - pEGFR(t)*reaction_4_k1 + pEGFR_Akt(t)*reaction_2_k2 + pEGFR_Akt(t)*reaction_3_k1 + EGF_EGFR(t)*reaction_9_k1 │ pEGFR_Akt'(t) = pEGFR(t)*Akt(t)*reaction_2_k1 - pEGFR_Akt(t)*reaction_2_k2 - pEGFR_Akt(t)*reaction_3_k1 │ Akt'(t) = -pEGFR(t)*Akt(t)*reaction_2_k1 + pEGFR_Akt(t)*reaction_2_k2 + pAkt(t)*reaction_7_k1 │ pAkt'(t) = pEGFR_Akt(t)*reaction_3_k1 - pAkt(t)*S6(t)*reaction_5_k1 - pAkt(t)*reaction_7_k1 + pAkt_S6(t)*reaction_5_k2 + pAkt_S6(t)*reaction_6_k1 │ S6'(t) = -pAkt(t)*S6(t)*reaction_5_k1 + pAkt_S6(t)*reaction_5_k2 + pS6(t)*reaction_8_k1 │ pAkt_S6'(t) = pAkt(t)*S6(t)*reaction_5_k1 - pAkt_S6(t)*reaction_5_k2 - pAkt_S6(t)*reaction_6_k1 │ pS6'(t) = pAkt_S6(t)*reaction_6_k1 - pS6(t)*reaction_8_k1 │ EGF_EGFR'(t) = EGF_EGFR(t)*reaction_1_k1 - EGF_EGFR(t)*reaction_1_k2 - EGF_EGFR(t)*reaction_9_k1 │ y1(t) = pEGFR(t)*a1 + pEGFR_Akt(t)*a1 │ y2(t) = pAkt(t)*a2 + pAkt_S6(t)*a2 │ y3(t) = pS6(t)*a3 │ , with_states = true, ident_funcs = AbstractAlgebra.RingElem[reaction_8_k1, a3//reaction_5_k1, reaction_3_k1, reaction_2_k2, pAkt(t)*reaction_5_k1, pEGFR(t)*reaction_5_k1, reaction_2_k1//reaction_5_k1, a1//reaction_5_k1, pS6(t)*reaction_5_k1, reaction_5_k2, reaction_6_k1, a2//reaction_5_k1, reaction_7_k1, reaction_4_k1, pAkt_S6(t)*reaction_5_k1, reaction_1_k1 - reaction_1_k2 - reaction_9_k1, pEGFR_Akt(t)*reaction_5_k1, S6(t)*reaction_5_k1, EGF_EGFR(t)*reaction_5_k1*reaction_9_k1, Akt(t)*reaction_5_k1]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 29 variables EGFR(t), pEGFR(t), pEGFR_Akt(t), Akt(t), ..., reaction_9_k1 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[EGFR(t), pEGFR(t), pEGFR_Akt(t), Akt(t), pAkt(t), S6(t), pAkt_S6(t), pS6(t), EGF_EGFR(t), y1(t), y2(t), y3(t), pro_EGFR(t), EGFR_turnover, a1, a2, a3, reaction_1_k1, reaction_1_k2, reaction_2_k1, reaction_2_k2, reaction_3_k1, reaction_4_k1, reaction_5_k1, reaction_5_k2, reaction_6_k1, reaction_7_k1, reaction_8_k1, reaction_9_k1] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.200797647 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.38046965 seconds [ Info: Dimensions of the Wronskians [145, 18, 9] [ Info: Ranks of the Wronskians computed in 0.001832623 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 9.188603743 [ Info: Selecting generators in 0.080752164 [ Info: Inclusion checked with probability 0.995 in 0.125023176 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 105.095038552 [ Info: Selecting generators in 0.94005818 [ Info: Inclusion checked with probability 0.995 in 0.065320167 seconds [ Info: The search for identifiable functions concluded in 116.890457268 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[reaction_8_k1, reaction_7_k1, reaction_6_k1, reaction_5_k2, reaction_4_k1, reaction_3_k1, reaction_2_k2, reaction_1_k1 - reaction_1_k2 - reaction_9_k1, pS6(t)*reaction_5_k1, pAkt_S6(t)*reaction_5_k1, S6(t)*reaction_5_k1, pAkt(t)*reaction_5_k1, Akt(t)*reaction_5_k1, pEGFR_Akt(t)*reaction_5_k1, pEGFR(t)*reaction_5_k1, reaction_2_k1//reaction_5_k1, a3//reaction_5_k1, a2//reaction_5_k1, a1//reaction_5_k1, EGF_EGFR(t)*reaction_5_k1*reaction_9_k1] │ case = │ (ode = EGFR'(t) = -EGFR(t)*EGFR_turnover - EGF_EGFR(t)*reaction_1_k1 + EGF_EGFR(t)*reaction_1_k2 + pro_EGFR(t)*EGFR_turnover │ pEGFR'(t) = -pEGFR(t)*Akt(t)*reaction_2_k1 - pEGFR(t)*reaction_4_k1 + pEGFR_Akt(t)*reaction_2_k2 + pEGFR_Akt(t)*reaction_3_k1 + EGF_EGFR(t)*reaction_9_k1 │ pEGFR_Akt'(t) = pEGFR(t)*Akt(t)*reaction_2_k1 - pEGFR_Akt(t)*reaction_2_k2 - pEGFR_Akt(t)*reaction_3_k1 │ Akt'(t) = -pEGFR(t)*Akt(t)*reaction_2_k1 + pEGFR_Akt(t)*reaction_2_k2 + pAkt(t)*reaction_7_k1 │ pAkt'(t) = pEGFR_Akt(t)*reaction_3_k1 - pAkt(t)*S6(t)*reaction_5_k1 - pAkt(t)*reaction_7_k1 + pAkt_S6(t)*reaction_5_k2 + pAkt_S6(t)*reaction_6_k1 │ S6'(t) = -pAkt(t)*S6(t)*reaction_5_k1 + pAkt_S6(t)*reaction_5_k2 + pS6(t)*reaction_8_k1 │ pAkt_S6'(t) = pAkt(t)*S6(t)*reaction_5_k1 - pAkt_S6(t)*reaction_5_k2 - pAkt_S6(t)*reaction_6_k1 │ pS6'(t) = pAkt_S6(t)*reaction_6_k1 - pS6(t)*reaction_8_k1 │ EGF_EGFR'(t) = EGF_EGFR(t)*reaction_1_k1 - EGF_EGFR(t)*reaction_1_k2 - EGF_EGFR(t)*reaction_9_k1 │ y1(t) = pEGFR(t)*a1 + pEGFR_Akt(t)*a1 │ y2(t) = pAkt(t)*a2 + pAkt_S6(t)*a2 │ y3(t) = pS6(t)*a3 │ , with_states = true, ident_funcs = AbstractAlgebra.RingElem[reaction_8_k1, a3//reaction_5_k1, reaction_3_k1, reaction_2_k2, pAkt(t)*reaction_5_k1, pEGFR(t)*reaction_5_k1, reaction_2_k1//reaction_5_k1, a1//reaction_5_k1, pS6(t)*reaction_5_k1, reaction_5_k2, reaction_6_k1, a2//reaction_5_k1, reaction_7_k1, reaction_4_k1, pAkt_S6(t)*reaction_5_k1, reaction_1_k1 - reaction_1_k2 - reaction_9_k1, pEGFR_Akt(t)*reaction_5_k1, S6(t)*reaction_5_k1, EGF_EGFR(t)*reaction_5_k1*reaction_9_k1, Akt(t)*reaction_5_k1]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 29 variables EGFR(t), pEGFR(t), pEGFR_Akt(t), Akt(t), ..., reaction_9_k1 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[EGFR(t), pEGFR(t), pEGFR_Akt(t), Akt(t), pAkt(t), S6(t), pAkt_S6(t), pS6(t), EGF_EGFR(t), y1(t), y2(t), y3(t), pro_EGFR(t), EGFR_turnover, a1, a2, a3, reaction_1_k1, reaction_1_k2, reaction_2_k1, reaction_2_k2, reaction_3_k1, reaction_4_k1, reaction_5_k1, reaction_5_k2, reaction_6_k1, reaction_7_k1, reaction_8_k1, reaction_9_k1] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.025403515 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.015974702 seconds [ Info: Dimensions of the Wronskians [4, 2] [ Info: Ranks of the Wronskians computed in 3.199e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.027178289 [ Info: Selecting generators in 0.001628685 [ Info: Inclusion checked with probability 0.995 in 0.004079972 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000171809 [ Info: Selecting generators in 0.009511252 [ Info: Inclusion checked with probability 0.995 in 0.009687231 seconds [ Info: The search for identifiable functions concluded in 0.435774743 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[kbeta10, kbeta, beta10(t), beta(t), kcryOH + kcrybeta, cry(t)*kcryOH] │ case = │ (ode = beta'(t) = -beta(t)*kbeta │ cry'(t) = -cry(t)*kcryOH - cry(t)*kcrybeta │ zea'(t) = -zea(t)*kzea │ beta10'(t) = beta(t)*kbeta + cry(t)*kcryOH - beta10(t)*kbeta10 │ OHbeta10'(t) = cry(t)*kcrybeta + zea(t)*kzea - OHbeta10(t)*kOHbeta10 │ betaio'(t) = beta(t)*kbeta + cry(t)*kcrybeta + beta10(t)*kbeta10 │ OHbetaio'(t) = cry(t)*kcryOH + zea(t)*kzea + OHbeta10(t)*kOHbeta10 │ y1(t) = beta(t) │ y2(t) = beta10(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[beta10(t), beta(t), kbeta, kbeta10, cry(t)*kcryOH, kcryOH + kcrybeta]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 15 variables beta(t), cry(t), zea(t), beta10(t), ..., kzea │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.028293179 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.017504018 seconds [ Info: Dimensions of the Wronskians [4, 2] [ Info: Ranks of the Wronskians computed in 2.851e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.027147939 [ Info: Selecting generators in 0.001815813 [ Info: Inclusion checked with probability 0.995 in 0.004465609 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000168749 [ Info: Selecting generators in 0.009435992 [ Info: Inclusion checked with probability 0.995 in 0.010222616 seconds [ Info: The search for identifiable functions concluded in 0.142621601 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[kbeta10, kbeta, beta10(t), beta(t), kcryOH + kcrybeta, cry(t)*kcryOH] │ case = │ (ode = beta'(t) = -beta(t)*kbeta │ cry'(t) = -cry(t)*kcryOH - cry(t)*kcrybeta │ zea'(t) = -zea(t)*kzea │ beta10'(t) = beta(t)*kbeta + cry(t)*kcryOH - beta10(t)*kbeta10 │ OHbeta10'(t) = cry(t)*kcrybeta + zea(t)*kzea - OHbeta10(t)*kOHbeta10 │ betaio'(t) = beta(t)*kbeta + cry(t)*kcrybeta + beta10(t)*kbeta10 │ OHbetaio'(t) = cry(t)*kcryOH + zea(t)*kzea + OHbeta10(t)*kOHbeta10 │ y1(t) = beta(t) │ y2(t) = beta10(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[beta10(t), beta(t), kbeta, kbeta10, cry(t)*kcryOH, kcryOH + kcrybeta]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 15 variables beta(t), cry(t), zea(t), beta10(t), ..., kzea │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.027548526 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.017639057 seconds [ Info: Dimensions of the Wronskians [4, 2] [ Info: Ranks of the Wronskians computed in 2.602e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.03038814 [ Info: Selecting generators in 0.001654025 [ Info: Inclusion checked with probability 0.995 in 0.005285661 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000181478 [ Info: Selecting generators in 0.010672421 [ Info: Inclusion checked with probability 0.995 in 0.010528042 seconds [ Info: The search for identifiable functions concluded in 0.152321942 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[kbeta10, kbeta, beta10(t), beta(t), kcryOH + kcrybeta, cry(t)*kcryOH] │ case = │ (ode = beta'(t) = -beta(t)*kbeta │ cry'(t) = -cry(t)*kcryOH - cry(t)*kcrybeta │ zea'(t) = -zea(t)*kzea │ beta10'(t) = beta(t)*kbeta + cry(t)*kcryOH - beta10(t)*kbeta10 │ OHbeta10'(t) = cry(t)*kcrybeta + zea(t)*kzea - OHbeta10(t)*kOHbeta10 │ betaio'(t) = beta(t)*kbeta + cry(t)*kcrybeta + beta10(t)*kbeta10 │ OHbetaio'(t) = cry(t)*kcryOH + zea(t)*kzea + OHbeta10(t)*kOHbeta10 │ y1(t) = beta(t) │ y2(t) = beta10(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[beta10(t), beta(t), kbeta, kbeta10, cry(t)*kcryOH, kcryOH + kcrybeta]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 15 variables beta(t), cry(t), zea(t), beta10(t), ..., kzea │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.043583607 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.016710266 seconds [ Info: Dimensions of the Wronskians [4, 2] [ Info: Ranks of the Wronskians computed in 2.5299e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.029854124 [ Info: Selecting generators in 0.001759784 [ Info: Inclusion checked with probability 0.995 in 0.004610098 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.533828525 [ Info: Selecting generators in 0.012147987 [ Info: Inclusion checked with probability 0.995 in 0.009962038 seconds [ Info: The search for identifiable functions concluded in 0.699364236 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[kbeta10, kbeta, beta10(t), beta(t), kcryOH + kcrybeta, cry(t)*kcryOH] │ case = │ (ode = beta'(t) = -beta(t)*kbeta │ cry'(t) = -cry(t)*kcryOH - cry(t)*kcrybeta │ zea'(t) = -zea(t)*kzea │ beta10'(t) = beta(t)*kbeta + cry(t)*kcryOH - beta10(t)*kbeta10 │ OHbeta10'(t) = cry(t)*kcrybeta + zea(t)*kzea - OHbeta10(t)*kOHbeta10 │ betaio'(t) = beta(t)*kbeta + cry(t)*kcrybeta + beta10(t)*kbeta10 │ OHbetaio'(t) = cry(t)*kcryOH + zea(t)*kzea + OHbeta10(t)*kOHbeta10 │ y1(t) = beta(t) │ y2(t) = beta10(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[beta10(t), beta(t), kbeta, kbeta10, cry(t)*kcryOH, kcryOH + kcrybeta]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 15 variables beta(t), cry(t), zea(t), beta10(t), ..., kzea │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[beta(t), cry(t), zea(t), beta10(t), OHbeta10(t), betaio(t), OHbetaio(t), y1(t), y2(t), kOHbeta10, kbeta, kbeta10, kcryOH, kcrybeta, kzea] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.028516146 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.018720006 seconds [ Info: Dimensions of the Wronskians [4, 2] [ Info: Ranks of the Wronskians computed in 3.054e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.032373251 [ Info: Selecting generators in 0.001741984 [ Info: Inclusion checked with probability 0.995 in 0.003957483 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.537440212 [ Info: Selecting generators in 0.010760451 [ Info: Inclusion checked with probability 0.995 in 0.012091269 seconds [ Info: The search for identifiable functions concluded in 0.697139416 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[kbeta10, kbeta, beta10(t), beta(t), kcryOH + kcrybeta, cry(t)*kcryOH] │ case = │ (ode = beta'(t) = -beta(t)*kbeta │ cry'(t) = -cry(t)*kcryOH - cry(t)*kcrybeta │ zea'(t) = -zea(t)*kzea │ beta10'(t) = beta(t)*kbeta + cry(t)*kcryOH - beta10(t)*kbeta10 │ OHbeta10'(t) = cry(t)*kcrybeta + zea(t)*kzea - OHbeta10(t)*kOHbeta10 │ betaio'(t) = beta(t)*kbeta + cry(t)*kcrybeta + beta10(t)*kbeta10 │ OHbetaio'(t) = cry(t)*kcryOH + zea(t)*kzea + OHbeta10(t)*kOHbeta10 │ y1(t) = beta(t) │ y2(t) = beta10(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[beta10(t), beta(t), kbeta, kbeta10, cry(t)*kcryOH, kcryOH + kcrybeta]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 15 variables beta(t), cry(t), zea(t), beta10(t), ..., kzea │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[beta(t), cry(t), zea(t), beta10(t), OHbeta10(t), betaio(t), OHbetaio(t), y1(t), y2(t), kOHbeta10, kbeta, kbeta10, kcryOH, kcrybeta, kzea] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.03028624 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.024165537 seconds [ Info: Dimensions of the Wronskians [4, 2] [ Info: Ranks of the Wronskians computed in 3.0989e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.032834627 [ Info: Selecting generators in 0.002865683 [ Info: Inclusion checked with probability 0.995 in 0.004607427 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.556947391 [ Info: Selecting generators in 0.010931089 [ Info: Inclusion checked with probability 0.995 in 0.011351125 seconds [ Info: The search for identifiable functions concluded in 0.724570201 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[kbeta10, kbeta, beta10(t), beta(t), kcryOH + kcrybeta, cry(t)*kcryOH] │ case = │ (ode = beta'(t) = -beta(t)*kbeta │ cry'(t) = -cry(t)*kcryOH - cry(t)*kcrybeta │ zea'(t) = -zea(t)*kzea │ beta10'(t) = beta(t)*kbeta + cry(t)*kcryOH - beta10(t)*kbeta10 │ OHbeta10'(t) = cry(t)*kcrybeta + zea(t)*kzea - OHbeta10(t)*kOHbeta10 │ betaio'(t) = beta(t)*kbeta + cry(t)*kcrybeta + beta10(t)*kbeta10 │ OHbetaio'(t) = cry(t)*kcryOH + zea(t)*kzea + OHbeta10(t)*kOHbeta10 │ y1(t) = beta(t) │ y2(t) = beta10(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[beta10(t), beta(t), kbeta, kbeta10, cry(t)*kcryOH, kcryOH + kcrybeta]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 15 variables beta(t), cry(t), zea(t), beta10(t), ..., kzea │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[beta(t), cry(t), zea(t), beta10(t), OHbeta10(t), betaio(t), OHbetaio(t), y1(t), y2(t), kOHbeta10, kbeta, kbeta10, kcryOH, kcrybeta, kzea] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.018230121 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.010676761 seconds [ Info: Dimensions of the Wronskians [4, 2, 10] [ Info: Ranks of the Wronskians computed in 4.286e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000127738 [ Info: Selecting generators in 0.007277613 [ Info: Inclusion checked with probability 0.995 in 0.008865178 seconds [ Info: The search for identifiable functions concluded in 0.072297042 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k3, EpoR_A*k7, EpoR_A*k1, k5//k6, k2//k6] │ case = │ (ode = x1'(t) = -x1(t)*EpoR_A*k1 │ x2'(t) = x1(t)*EpoR_A*k1 - x2(t)^2*k2 │ x3'(t) = 1//2*x2(t)^2*k2 - x3(t)*k3 │ x4'(t) = x3(t)*k3 │ y1(t) = x2(t)*k5 + 2*x3(t)*k5 │ y2(t) = x1(t)*k6 + x2(t)*k6 + 2*x3(t)*k6 │ y3(t) = EpoR_A*k7 │ , ident_funcs = AbstractAlgebra.RingElem[k2//k6, k3, EpoR_A*k7, EpoR_A*k1, k5//k6]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 14 variables x1(t), x2(t), x3(t), x4(t), ..., k7 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 1.732140719 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.016483768 seconds [ Info: Dimensions of the Wronskians [4, 2, 10] [ Info: Ranks of the Wronskians computed in 4.317e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000191628 [ Info: Selecting generators in 0.011747602 [ Info: Inclusion checked with probability 0.995 in 0.012661373 seconds [ Info: The search for identifiable functions concluded in 1.818783378 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k3, EpoR_A*k7, EpoR_A*k1, k5//k6, k2//k6] │ case = │ (ode = x1'(t) = -x1(t)*EpoR_A*k1 │ x2'(t) = x1(t)*EpoR_A*k1 - x2(t)^2*k2 │ x3'(t) = 1//2*x2(t)^2*k2 - x3(t)*k3 │ x4'(t) = x3(t)*k3 │ y1(t) = x2(t)*k5 + 2*x3(t)*k5 │ y2(t) = x1(t)*k6 + x2(t)*k6 + 2*x3(t)*k6 │ y3(t) = EpoR_A*k7 │ , ident_funcs = AbstractAlgebra.RingElem[k2//k6, k3, EpoR_A*k7, EpoR_A*k1, k5//k6]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 14 variables x1(t), x2(t), x3(t), x4(t), ..., k7 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.021943757 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.011443645 seconds [ Info: Dimensions of the Wronskians [4, 2, 10] [ Info: Ranks of the Wronskians computed in 5.179e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000159828 [ Info: Selecting generators in 0.008955537 [ Info: Inclusion checked with probability 0.995 in 0.009588661 seconds [ Info: The search for identifiable functions concluded in 0.089967579 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k3, EpoR_A*k7, EpoR_A*k1, k5//k6, k2//k6] │ case = │ (ode = x1'(t) = -x1(t)*EpoR_A*k1 │ x2'(t) = x1(t)*EpoR_A*k1 - x2(t)^2*k2 │ x3'(t) = 1//2*x2(t)^2*k2 - x3(t)*k3 │ x4'(t) = x3(t)*k3 │ y1(t) = x2(t)*k5 + 2*x3(t)*k5 │ y2(t) = x1(t)*k6 + x2(t)*k6 + 2*x3(t)*k6 │ y3(t) = EpoR_A*k7 │ , ident_funcs = AbstractAlgebra.RingElem[k2//k6, k3, EpoR_A*k7, EpoR_A*k1, k5//k6]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 14 variables x1(t), x2(t), x3(t), x4(t), ..., k7 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.020103754 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.010188706 seconds [ Info: Dimensions of the Wronskians [4, 2, 10] [ Info: Ranks of the Wronskians computed in 3.9669e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.087556441 [ Info: Selecting generators in 0.008165324 [ Info: Inclusion checked with probability 0.995 in 0.00977036 seconds [ Info: The search for identifiable functions concluded in 0.166115614 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k3, EpoR_A*k7, EpoR_A*k1, k5//k6, k2//k6] │ case = │ (ode = x1'(t) = -x1(t)*EpoR_A*k1 │ x2'(t) = x1(t)*EpoR_A*k1 - x2(t)^2*k2 │ x3'(t) = 1//2*x2(t)^2*k2 - x3(t)*k3 │ x4'(t) = x3(t)*k3 │ y1(t) = x2(t)*k5 + 2*x3(t)*k5 │ y2(t) = x1(t)*k6 + x2(t)*k6 + 2*x3(t)*k6 │ y3(t) = EpoR_A*k7 │ , ident_funcs = AbstractAlgebra.RingElem[k2//k6, k3, EpoR_A*k7, EpoR_A*k1, k5//k6]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 14 variables x1(t), x2(t), x3(t), x4(t), ..., k7 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y1(t), y2(t), y3(t), EpoR_A, k1, k2, k3, k5, k6, k7] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.019029814 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.009371743 seconds [ Info: Dimensions of the Wronskians [4, 2, 10] [ Info: Ranks of the Wronskians computed in 4.542e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.079028139 [ Info: Selecting generators in 0.00757285 [ Info: Inclusion checked with probability 0.995 in 0.009040497 seconds [ Info: The search for identifiable functions concluded in 0.15892614 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k3, EpoR_A*k7, EpoR_A*k1, k5//k6, k2//k6] │ case = │ (ode = x1'(t) = -x1(t)*EpoR_A*k1 │ x2'(t) = x1(t)*EpoR_A*k1 - x2(t)^2*k2 │ x3'(t) = 1//2*x2(t)^2*k2 - x3(t)*k3 │ x4'(t) = x3(t)*k3 │ y1(t) = x2(t)*k5 + 2*x3(t)*k5 │ y2(t) = x1(t)*k6 + x2(t)*k6 + 2*x3(t)*k6 │ y3(t) = EpoR_A*k7 │ , ident_funcs = AbstractAlgebra.RingElem[k2//k6, k3, EpoR_A*k7, EpoR_A*k1, k5//k6]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 14 variables x1(t), x2(t), x3(t), x4(t), ..., k7 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y1(t), y2(t), y3(t), EpoR_A, k1, k2, k3, k5, k6, k7] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.018170542 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.008941447 seconds [ Info: Dimensions of the Wronskians [4, 2, 10] [ Info: Ranks of the Wronskians computed in 3.828e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.07579616 [ Info: Selecting generators in 0.00754566 [ Info: Inclusion checked with probability 0.995 in 0.008595471 seconds [ Info: The search for identifiable functions concluded in 0.15034588 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k3, EpoR_A*k7, EpoR_A*k1, k5//k6, k2//k6] │ case = │ (ode = x1'(t) = -x1(t)*EpoR_A*k1 │ x2'(t) = x1(t)*EpoR_A*k1 - x2(t)^2*k2 │ x3'(t) = 1//2*x2(t)^2*k2 - x3(t)*k3 │ x4'(t) = x3(t)*k3 │ y1(t) = x2(t)*k5 + 2*x3(t)*k5 │ y2(t) = x1(t)*k6 + x2(t)*k6 + 2*x3(t)*k6 │ y3(t) = EpoR_A*k7 │ , ident_funcs = AbstractAlgebra.RingElem[k2//k6, k3, EpoR_A*k7, EpoR_A*k1, k5//k6]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 14 variables x1(t), x2(t), x3(t), x4(t), ..., k7 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y1(t), y2(t), y3(t), EpoR_A, k1, k2, k3, k5, k6, k7] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001585995 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.3969e-5 [ Info: Selecting generators in 0.000166218 [ Info: Inclusion checked with probability 0.995 in 0.00217005 seconds [ Info: The search for identifiable functions concluded in 0.00974494 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x1(t) + x2(t)] │ case = │ (ode = x1'(t) = x1(t) │ x2'(t) = x2(t) │ y(t) = x1(t) + x2(t) │ , ident_funcs = Nemo.QQMPolyRingElem[x1(t) + x2(t)], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 3 variables x1(t), x2(t), y(t) │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001578536 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 6.8919e-5 [ Info: Selecting generators in 0.000164849 [ Info: Inclusion checked with probability 0.995 in 0.002292419 seconds [ Info: The search for identifiable functions concluded in 0.0097001 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x1(t) + x2(t)] │ case = │ (ode = x1'(t) = x1(t) │ x2'(t) = x2(t) │ y(t) = x1(t) + x2(t) │ , ident_funcs = Nemo.QQMPolyRingElem[x1(t) + x2(t)], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 3 variables x1(t), x2(t), y(t) │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001546425 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 6.671e-5 [ Info: Selecting generators in 0.000182168 [ Info: Inclusion checked with probability 0.995 in 0.002115861 seconds [ Info: The search for identifiable functions concluded in 0.009436932 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x1(t) + x2(t)] │ case = │ (ode = x1'(t) = x1(t) │ x2'(t) = x2(t) │ y(t) = x1(t) + x2(t) │ , ident_funcs = Nemo.QQMPolyRingElem[x1(t) + x2(t)], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 3 variables x1(t), x2(t), y(t) │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001499227 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002258759 [ Info: Selecting generators in 0.000194279 [ Info: Inclusion checked with probability 0.995 in 0.00213491 seconds [ Info: The search for identifiable functions concluded in 0.01187937 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x1(t) + x2(t)] │ case = │ (ode = x1'(t) = x1(t) │ x2'(t) = x2(t) │ y(t) = x1(t) + x2(t) │ , ident_funcs = Nemo.QQMPolyRingElem[x1(t) + x2(t)], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 3 variables x1(t), x2(t), y(t) │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t)] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001562575 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002204639 [ Info: Selecting generators in 0.000210559 [ Info: Inclusion checked with probability 0.995 in 0.00213606 seconds [ Info: The search for identifiable functions concluded in 0.01183223 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x1(t) + x2(t)] │ case = │ (ode = x1'(t) = x1(t) │ x2'(t) = x2(t) │ y(t) = x1(t) + x2(t) │ , ident_funcs = Nemo.QQMPolyRingElem[x1(t) + x2(t)], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 3 variables x1(t), x2(t), y(t) │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t)] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001515136 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002111801 [ Info: Selecting generators in 0.000236478 [ Info: Inclusion checked with probability 0.995 in 0.002251759 seconds [ Info: The search for identifiable functions concluded in 0.01186981 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x1(t) + x2(t)] │ case = │ (ode = x1'(t) = x1(t) │ x2'(t) = x2(t) │ y(t) = x1(t) + x2(t) │ , ident_funcs = Nemo.QQMPolyRingElem[x1(t) + x2(t)], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 3 variables x1(t), x2(t), y(t) │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t)] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.013049039 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.039351246 seconds [ Info: Dimensions of the Wronskians [80] [ Info: Ranks of the Wronskians computed in 0.000519595 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.022112296 [ Info: Selecting generators in 0.01183557 [ Info: Inclusion checked with probability 0.995 in 0.040950831 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000164339 [ Info: Selecting generators in 0.010609711 [ Info: Inclusion checked with probability 0.995 in 0.016857714 seconds [ Info: The search for identifiable functions concluded in 0.314245034 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[g, d, I(t), U(t)*a + I(t)*a, E(t)//(U(t) + I(t)), S(t)//(U(t) + I(t)), (N*a)//b] │ case = │ (ode = S'(t) = (-S(t)*U(t)*b - S(t)*I(t)*b)//N │ E'(t) = (S(t)*U(t)*b + S(t)*I(t)*b - E(t)*N*g)//N │ U'(t) = -E(t)*a*g + E(t)*g - U(t)*d │ I'(t) = E(t)*a*g - I(t)*d │ y(t) = I(t) │ , ident_funcs = AbstractAlgebra.RingElem[I(t), d, g, S(t)*a, E(t)*a, U(t)*a + I(t)*a, (N*a)//b], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 10 variables S(t), E(t), U(t), I(t), ..., g │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.013594694 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.038253437 seconds [ Info: Dimensions of the Wronskians [80] [ Info: Ranks of the Wronskians computed in 0.000664294 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.022431362 [ Info: Selecting generators in 0.011053738 [ Info: Inclusion checked with probability 0.995 in 0.036555372 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000180068 [ Info: Selecting generators in 0.010011148 [ Info: Inclusion checked with probability 0.995 in 0.015308969 seconds [ Info: The search for identifiable functions concluded in 1.658916024 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[g, d, I(t), U(t)*a + I(t)*a, E(t)//(U(t) + I(t)), S(t)//(U(t) + I(t)), (N*a)//b] │ case = │ (ode = S'(t) = (-S(t)*U(t)*b - S(t)*I(t)*b)//N │ E'(t) = (S(t)*U(t)*b + S(t)*I(t)*b - E(t)*N*g)//N │ U'(t) = -E(t)*a*g + E(t)*g - U(t)*d │ I'(t) = E(t)*a*g - I(t)*d │ y(t) = I(t) │ , ident_funcs = AbstractAlgebra.RingElem[I(t), d, g, S(t)*a, E(t)*a, U(t)*a + I(t)*a, (N*a)//b], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 10 variables S(t), E(t), U(t), I(t), ..., g │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.013521885 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.0422387 seconds [ Info: Dimensions of the Wronskians [80] [ Info: Ranks of the Wronskians computed in 0.000517025 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.021943877 [ Info: Selecting generators in 0.011562343 [ Info: Inclusion checked with probability 0.995 in 0.037281465 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000194048 [ Info: Selecting generators in 0.011215287 [ Info: Inclusion checked with probability 0.995 in 0.014673764 seconds [ Info: The search for identifiable functions concluded in 0.316015939 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[g, d, I(t), U(t)*a + I(t)*a, E(t)//(U(t) + I(t)), S(t)//(U(t) + I(t)), (N*a)//b] │ case = │ (ode = S'(t) = (-S(t)*U(t)*b - S(t)*I(t)*b)//N │ E'(t) = (S(t)*U(t)*b + S(t)*I(t)*b - E(t)*N*g)//N │ U'(t) = -E(t)*a*g + E(t)*g - U(t)*d │ I'(t) = E(t)*a*g - I(t)*d │ y(t) = I(t) │ , ident_funcs = AbstractAlgebra.RingElem[I(t), d, g, S(t)*a, E(t)*a, U(t)*a + I(t)*a, (N*a)//b], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 10 variables S(t), E(t), U(t), I(t), ..., g │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.013507315 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.040414966 seconds [ Info: Dimensions of the Wronskians [80] [ Info: Ranks of the Wronskians computed in 0.000440206 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.022185515 [ Info: Selecting generators in 0.010979808 [ Info: Inclusion checked with probability 0.995 in 0.037945209 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.256796596 [ Info: Selecting generators in 0.017585448 [ Info: Inclusion checked with probability 0.995 in 0.01515883 seconds [ Info: The search for identifiable functions concluded in 0.577766389 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[g, d, I(t), E(t)*a, S(t)*a, U(t)*a + I(t)*a, (N*a)//b] │ case = │ (ode = S'(t) = (-S(t)*U(t)*b - S(t)*I(t)*b)//N │ E'(t) = (S(t)*U(t)*b + S(t)*I(t)*b - E(t)*N*g)//N │ U'(t) = -E(t)*a*g + E(t)*g - U(t)*d │ I'(t) = E(t)*a*g - I(t)*d │ y(t) = I(t) │ , ident_funcs = AbstractAlgebra.RingElem[I(t), d, g, S(t)*a, E(t)*a, U(t)*a + I(t)*a, (N*a)//b], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 10 variables S(t), E(t), U(t), I(t), ..., g │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[S(t), E(t), U(t), I(t), y(t), N, a, b, d, g] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.014643895 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.040834232 seconds [ Info: Dimensions of the Wronskians [80] [ Info: Ranks of the Wronskians computed in 0.000389616 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.020579759 [ Info: Selecting generators in 0.009322363 [ Info: Inclusion checked with probability 0.995 in 0.035863598 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.573474148 [ Info: Selecting generators in 0.018546158 [ Info: Inclusion checked with probability 0.995 in 0.015709745 seconds [ Info: The search for identifiable functions concluded in 0.896674441 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[g, d, I(t), E(t)*a, S(t)*a, U(t)*a + I(t)*a, (N*a)//b] │ case = │ (ode = S'(t) = (-S(t)*U(t)*b - S(t)*I(t)*b)//N │ E'(t) = (S(t)*U(t)*b + S(t)*I(t)*b - E(t)*N*g)//N │ U'(t) = -E(t)*a*g + E(t)*g - U(t)*d │ I'(t) = E(t)*a*g - I(t)*d │ y(t) = I(t) │ , ident_funcs = AbstractAlgebra.RingElem[I(t), d, g, S(t)*a, E(t)*a, U(t)*a + I(t)*a, (N*a)//b], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 10 variables S(t), E(t), U(t), I(t), ..., g │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[S(t), E(t), U(t), I(t), y(t), N, a, b, d, g] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.014726664 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.041191969 seconds [ Info: Dimensions of the Wronskians [80] [ Info: Ranks of the Wronskians computed in 0.000371006 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.022575731 [ Info: Selecting generators in 0.011776141 [ Info: Inclusion checked with probability 0.995 in 0.038826621 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.260799839 [ Info: Selecting generators in 0.017085742 [ Info: Inclusion checked with probability 0.995 in 0.014966442 seconds [ Info: The search for identifiable functions concluded in 0.593089368 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[g, d, I(t), E(t)*a, S(t)*a, U(t)*a + I(t)*a, (N*a)//b] │ case = │ (ode = S'(t) = (-S(t)*U(t)*b - S(t)*I(t)*b)//N │ E'(t) = (S(t)*U(t)*b + S(t)*I(t)*b - E(t)*N*g)//N │ U'(t) = -E(t)*a*g + E(t)*g - U(t)*d │ I'(t) = E(t)*a*g - I(t)*d │ y(t) = I(t) │ , ident_funcs = AbstractAlgebra.RingElem[I(t), d, g, S(t)*a, E(t)*a, U(t)*a + I(t)*a, (N*a)//b], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 10 variables S(t), E(t), U(t), I(t), ..., g │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[S(t), E(t), U(t), I(t), y(t), N, a, b, d, g] [ Info: Computing IO-equations [ Info: Computed IO-equations in 1.644243379 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00105154 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.274e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001403337 [ Info: Selecting generators in 0.000983801 [ Info: Inclusion checked with probability 0.995 in 0.002229579 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.8659e-5 [ Info: Selecting generators in 0.001744314 [ Info: Inclusion checked with probability 0.995 in 0.004128302 seconds [ Info: The search for identifiable functions concluded in 1.684316809 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[alpha^2, x(t)^2, x(t)//alpha] │ case = │ (ode = x'(t) = x(t)^2*alpha │ y(t) = x(t)^2 │ , ident_funcs = Nemo.QQMPolyRingElem[alpha^2, x(t)*alpha], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 3 variables x(t), y(t), alpha │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001530046 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001187329 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.417e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001288738 [ Info: Selecting generators in 0.000914712 [ Info: Inclusion checked with probability 0.995 in 0.002122921 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.4889e-5 [ Info: Selecting generators in 0.001783194 [ Info: Inclusion checked with probability 0.995 in 0.003615677 seconds [ Info: The search for identifiable functions concluded in 0.02703925 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[alpha^2, x(t)^2, x(t)//alpha] │ case = │ (ode = x'(t) = x(t)^2*alpha │ y(t) = x(t)^2 │ , ident_funcs = Nemo.QQMPolyRingElem[alpha^2, x(t)*alpha], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 3 variables x(t), y(t), alpha │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001400967 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001064621 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.391e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.00116541 [ Info: Selecting generators in 0.000865722 [ Info: Inclusion checked with probability 0.995 in 0.002369858 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.7069e-5 [ Info: Selecting generators in 0.001831093 [ Info: Inclusion checked with probability 0.995 in 0.004253921 seconds [ Info: The search for identifiable functions concluded in 0.027189379 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[alpha^2, x(t)^2, x(t)//alpha] │ case = │ (ode = x'(t) = x(t)^2*alpha │ y(t) = x(t)^2 │ , ident_funcs = Nemo.QQMPolyRingElem[alpha^2, x(t)*alpha], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 3 variables x(t), y(t), alpha │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001464257 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001172539 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.867e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001163399 [ Info: Selecting generators in 0.000942332 [ Info: Inclusion checked with probability 0.995 in 0.002301729 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.004564888 [ Info: Selecting generators in 0.003503877 [ Info: Inclusion checked with probability 0.995 in 0.003542937 seconds [ Info: The search for identifiable functions concluded in 0.033775778 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[alpha^2, x(t)*alpha] │ case = │ (ode = x'(t) = x(t)^2*alpha │ y(t) = x(t)^2 │ , ident_funcs = Nemo.QQMPolyRingElem[alpha^2, x(t)*alpha], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 3 variables x(t), y(t), alpha │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x(t), y(t), alpha] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001419687 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001045221 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.341e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001339388 [ Info: Selecting generators in 0.000943311 [ Info: Inclusion checked with probability 0.995 in 0.00212536 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.004741177 [ Info: Selecting generators in 0.002921823 [ Info: Inclusion checked with probability 0.995 in 0.003593017 seconds [ Info: The search for identifiable functions concluded in 0.032189242 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[alpha^2, x(t)*alpha] │ case = │ (ode = x'(t) = x(t)^2*alpha │ y(t) = x(t)^2 │ , ident_funcs = Nemo.QQMPolyRingElem[alpha^2, x(t)*alpha], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 3 variables x(t), y(t), alpha │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x(t), y(t), alpha] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001467247 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001041641 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.22e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001167599 [ Info: Selecting generators in 0.000898312 [ Info: Inclusion checked with probability 0.995 in 0.002213639 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.004611847 [ Info: Selecting generators in 0.002826823 [ Info: Inclusion checked with probability 0.995 in 0.003310449 seconds [ Info: The search for identifiable functions concluded in 0.032347961 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[alpha^2, x(t)*alpha] │ case = │ (ode = x'(t) = x(t)^2*alpha │ y(t) = x(t)^2 │ , ident_funcs = Nemo.QQMPolyRingElem[alpha^2, x(t)*alpha], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 3 variables x(t), y(t), alpha │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x(t), y(t), alpha] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.004185861 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002864173 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.385e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000123659 [ Info: Selecting generators in 0.004033983 [ Info: Inclusion checked with probability 0.995 in 0.005207552 seconds [ Info: The search for identifiable functions concluded in 0.034429252 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, k02 + k12, k01 + k21, k12*k21] │ case = │ (ode = x1'(t) = -x1(t)*k01 - x1(t)*k21 + x2(t)*k12 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, k02 + k12, k01 + k21, k12*k21], with_states = false) │ simplify = :weak │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), y(t), u(t), ..., v │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.004061102 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002784355 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 3.045e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000120839 [ Info: Selecting generators in 0.003931834 [ Info: Inclusion checked with probability 0.995 in 0.005174742 seconds [ Info: The search for identifiable functions concluded in 0.03350725 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, k02 + k12, k01 + k21, k12*k21] │ case = │ (ode = x1'(t) = -x1(t)*k01 - x1(t)*k21 + x2(t)*k12 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, k02 + k12, k01 + k21, k12*k21], with_states = false) │ simplify = :weak │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), y(t), u(t), ..., v │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003585787 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002648716 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.826e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000112159 [ Info: Selecting generators in 0.003821755 [ Info: Inclusion checked with probability 0.995 in 0.004768235 seconds [ Info: The search for identifiable functions concluded in 0.031001964 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, k02 + k12, k01 + k21, k12*k21] │ case = │ (ode = x1'(t) = -x1(t)*k01 - x1(t)*k21 + x2(t)*k12 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, k02 + k12, k01 + k21, k12*k21], with_states = false) │ simplify = :weak │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), y(t), u(t), ..., v │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003716995 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002568996 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.281e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.027692084 [ Info: Selecting generators in 0.003856754 [ Info: Inclusion checked with probability 0.995 in 0.004934144 seconds [ Info: The search for identifiable functions concluded in 0.059727368 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, k02 + k12, k01 + k21, k12*k21] │ case = │ (ode = x1'(t) = -x1(t)*k01 - x1(t)*k21 + x2(t)*k12 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, k02 + k12, k01 + k21, k12*k21], with_states = false) │ simplify = :standard │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), y(t), u(t), ..., v │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), u(t), k01, k02, k12, k21, v] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.00319189 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002431637 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.615e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.024767351 [ Info: Selecting generators in 0.003886084 [ Info: Inclusion checked with probability 0.995 in 0.004804316 seconds [ Info: The search for identifiable functions concluded in 0.055014591 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, k02 + k12, k01 + k21, k12*k21] │ case = │ (ode = x1'(t) = -x1(t)*k01 - x1(t)*k21 + x2(t)*k12 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, k02 + k12, k01 + k21, k12*k21], with_states = false) │ simplify = :standard │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), y(t), u(t), ..., v │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), u(t), k01, k02, k12, k21, v] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003426348 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002504937 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.197e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.025640243 [ Info: Selecting generators in 0.003687086 [ Info: Inclusion checked with probability 0.995 in 0.004811286 seconds [ Info: The search for identifiable functions concluded in 0.055592336 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, k02 + k12, k01 + k21, k12*k21] │ case = │ (ode = x1'(t) = -x1(t)*k01 - x1(t)*k21 + x2(t)*k12 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, k02 + k12, k01 + k21, k12*k21], with_states = false) │ simplify = :standard │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), y(t), u(t), ..., v │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), u(t), k01, k02, k12, k21, v] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003012032 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002292199 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.671e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.025388435 [ Info: Selecting generators in 0.003495818 [ Info: Inclusion checked with probability 0.995 in 0.006045394 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000139119 [ Info: Selecting generators in 0.010131826 [ Info: Inclusion checked with probability 0.995 in 0.007753608 seconds [ Info: The search for identifiable functions concluded in 0.100959877 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, x1(t), k02 + k12, k01 + k21, k12*k21, x2(t)//k21] │ case = │ (ode = x1'(t) = -x1(t)*k01 - x1(t)*k21 + x2(t)*k12 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, x1(t), k02 + k12, k01 + k21, k12*k21, x2(t)*k12], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), y(t), u(t), ..., v │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003134111 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002228129 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.709e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.024288496 [ Info: Selecting generators in 0.003378529 [ Info: Inclusion checked with probability 0.995 in 0.004888664 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000134169 [ Info: Selecting generators in 0.00973001 [ Info: Inclusion checked with probability 0.995 in 0.007796878 seconds [ Info: The search for identifiable functions concluded in 0.096369589 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, x1(t), k02 + k12, k01 + k21, k12*k21, x2(t)//k21] │ case = │ (ode = x1'(t) = -x1(t)*k01 - x1(t)*k21 + x2(t)*k12 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, x1(t), k02 + k12, k01 + k21, k12*k21, x2(t)*k12], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), y(t), u(t), ..., v │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003456078 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002307358 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.166e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.023612661 [ Info: Selecting generators in 0.003414938 [ Info: Inclusion checked with probability 0.995 in 0.005113553 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000143998 [ Info: Selecting generators in 0.009456972 [ Info: Inclusion checked with probability 0.995 in 0.00758597 seconds [ Info: The search for identifiable functions concluded in 0.094871693 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, x1(t), k02 + k12, k01 + k21, k12*k21, x2(t)//k21] │ case = │ (ode = x1'(t) = -x1(t)*k01 - x1(t)*k21 + x2(t)*k12 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, x1(t), k02 + k12, k01 + k21, k12*k21, x2(t)*k12], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), y(t), u(t), ..., v │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.00331331 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002261289 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.035e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.023892849 [ Info: Selecting generators in 0.003358719 [ Info: Inclusion checked with probability 0.995 in 0.004532948 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.089291945 [ Info: Selecting generators in 0.011266196 [ Info: Inclusion checked with probability 0.995 in 0.007526661 seconds [ Info: The search for identifiable functions concluded in 0.184724132 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, x1(t), k02 + k12, k01 + k21, k12*k21, x2(t)*k12] │ case = │ (ode = x1'(t) = -x1(t)*k01 - x1(t)*k21 + x2(t)*k12 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, x1(t), k02 + k12, k01 + k21, k12*k21, x2(t)*k12], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), y(t), u(t), ..., v │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), u(t), k01, k02, k12, k21, v] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003205011 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00214215 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.539e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.023470143 [ Info: Selecting generators in 0.003583087 [ Info: Inclusion checked with probability 0.995 in 0.004614398 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.088576501 [ Info: Selecting generators in 0.010638531 [ Info: Inclusion checked with probability 0.995 in 0.008220994 seconds [ Info: The search for identifiable functions concluded in 0.182320164 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, x1(t), k02 + k12, k01 + k21, k12*k21, x2(t)*k12] │ case = │ (ode = x1'(t) = -x1(t)*k01 - x1(t)*k21 + x2(t)*k12 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, x1(t), k02 + k12, k01 + k21, k12*k21, x2(t)*k12], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), y(t), u(t), ..., v │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), u(t), k01, k02, k12, k21, v] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003446138 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002256469 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.327e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.02381323 [ Info: Selecting generators in 0.003332819 [ Info: Inclusion checked with probability 0.995 in 0.005093673 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.089599112 [ Info: Selecting generators in 0.011102918 [ Info: Inclusion checked with probability 0.995 in 0.00756619 seconds [ Info: The search for identifiable functions concluded in 0.185670163 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, x1(t), k02 + k12, k01 + k21, k12*k21, x2(t)*k12] │ case = │ (ode = x1'(t) = -x1(t)*k01 - x1(t)*k21 + x2(t)*k12 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, x1(t), k02 + k12, k01 + k21, k12*k21, x2(t)*k12], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), y(t), u(t), ..., v │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), u(t), k01, k02, k12, k21, v] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.004080973 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003594217 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.47e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000130419 [ Info: Selecting generators in 0.01194816 [ Info: Inclusion checked with probability 0.995 in 0.009093396 seconds [ Info: The search for identifiable functions concluded in 0.051725902 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k21, k12, k02, b1*c, K_M*c, V_M//b1] │ case = │ (ode = x1'(t) = (-x1(t)^2*k21 + x1(t)*x2(t)*k12 + x1(t)*u(t)*b1 - x1(t)*K_M*k21 - x1(t)*V_M + x2(t)*K_M*k12 + u(t)*K_M*b1)//(x1(t) + K_M) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)*c │ , ident_funcs = Nemo.QQMPolyRingElem[k21, k12, k02, b1*c, V_M*c, K_M*c], with_states = false) │ simplify = :weak │ R = │ Multivariate polynomial ring in 11 variables x1(t), x2(t), y(t), u(t), ..., k21 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.004356239 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003639486 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.2519e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000131959 [ Info: Selecting generators in 0.012043688 [ Info: Inclusion checked with probability 0.995 in 0.009051917 seconds [ Info: The search for identifiable functions concluded in 0.052787712 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k21, k12, k02, b1*c, K_M*c, V_M//b1] │ case = │ (ode = x1'(t) = (-x1(t)^2*k21 + x1(t)*x2(t)*k12 + x1(t)*u(t)*b1 - x1(t)*K_M*k21 - x1(t)*V_M + x2(t)*K_M*k12 + u(t)*K_M*b1)//(x1(t) + K_M) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)*c │ , ident_funcs = Nemo.QQMPolyRingElem[k21, k12, k02, b1*c, V_M*c, K_M*c], with_states = false) │ simplify = :weak │ R = │ Multivariate polynomial ring in 11 variables x1(t), x2(t), y(t), u(t), ..., k21 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.004485908 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003495858 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.2159e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000118018 [ Info: Selecting generators in 0.012155788 [ Info: Inclusion checked with probability 0.995 in 0.008820268 seconds [ Info: The search for identifiable functions concluded in 0.051343115 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k21, k12, k02, b1*c, K_M*c, V_M//b1] │ case = │ (ode = x1'(t) = (-x1(t)^2*k21 + x1(t)*x2(t)*k12 + x1(t)*u(t)*b1 - x1(t)*K_M*k21 - x1(t)*V_M + x2(t)*K_M*k12 + u(t)*K_M*b1)//(x1(t) + K_M) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)*c │ , ident_funcs = Nemo.QQMPolyRingElem[k21, k12, k02, b1*c, V_M*c, K_M*c], with_states = false) │ simplify = :weak │ R = │ Multivariate polynomial ring in 11 variables x1(t), x2(t), y(t), u(t), ..., k21 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.004285491 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003551397 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 4.518e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.086636219 [ Info: Selecting generators in 0.01624286 [ Info: Inclusion checked with probability 0.995 in 0.00866982 seconds [ Info: The search for identifiable functions concluded in 0.14269814 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k21, k12, k02, b1*c, V_M*c, K_M*c] │ case = │ (ode = x1'(t) = (-x1(t)^2*k21 + x1(t)*x2(t)*k12 + x1(t)*u(t)*b1 - x1(t)*K_M*k21 - x1(t)*V_M + x2(t)*K_M*k12 + u(t)*K_M*b1)//(x1(t) + K_M) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)*c │ , ident_funcs = Nemo.QQMPolyRingElem[k21, k12, k02, b1*c, V_M*c, K_M*c], with_states = false) │ simplify = :standard │ R = │ Multivariate polynomial ring in 11 variables x1(t), x2(t), y(t), u(t), ..., k21 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), u(t), K_M, V_M, b1, c, k02, k12, k21] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.00422918 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003826345 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 2.9779e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.092080299 [ Info: Selecting generators in 0.017241721 [ Info: Inclusion checked with probability 0.995 in 0.009104206 seconds [ Info: The search for identifiable functions concluded in 0.150011093 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k21, k12, k02, b1*c, V_M*c, K_M*c] │ case = │ (ode = x1'(t) = (-x1(t)^2*k21 + x1(t)*x2(t)*k12 + x1(t)*u(t)*b1 - x1(t)*K_M*k21 - x1(t)*V_M + x2(t)*K_M*k12 + u(t)*K_M*b1)//(x1(t) + K_M) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)*c │ , ident_funcs = Nemo.QQMPolyRingElem[k21, k12, k02, b1*c, V_M*c, K_M*c], with_states = false) │ simplify = :standard │ R = │ Multivariate polynomial ring in 11 variables x1(t), x2(t), y(t), u(t), ..., k21 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), u(t), K_M, V_M, b1, c, k02, k12, k21] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.004309291 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004009143 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.65e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.093363847 [ Info: Selecting generators in 0.016680415 [ Info: Inclusion checked with probability 0.995 in 0.008235853 seconds [ Info: The search for identifiable functions concluded in 0.151032993 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k21, k12, k02, b1*c, V_M*c, K_M*c] │ case = │ (ode = x1'(t) = (-x1(t)^2*k21 + x1(t)*x2(t)*k12 + x1(t)*u(t)*b1 - x1(t)*K_M*k21 - x1(t)*V_M + x2(t)*K_M*k12 + u(t)*K_M*b1)//(x1(t) + K_M) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)*c │ , ident_funcs = Nemo.QQMPolyRingElem[k21, k12, k02, b1*c, V_M*c, K_M*c], with_states = false) │ simplify = :standard │ R = │ Multivariate polynomial ring in 11 variables x1(t), x2(t), y(t), u(t), ..., k21 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), u(t), K_M, V_M, b1, c, k02, k12, k21] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.004383049 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003940324 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.601e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.090188496 [ Info: Selecting generators in 0.016722256 [ Info: Inclusion checked with probability 0.995 in 0.008550821 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000139659 [ Info: Selecting generators in 0.018900966 [ Info: Inclusion checked with probability 0.995 in 0.016796484 seconds [ Info: The search for identifiable functions concluded in 0.237072088 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k21, k12, k02, b1*c, V_M*c, K_M*c, x1(t)*c, x2(t)//b1] │ case = │ (ode = x1'(t) = (-x1(t)^2*k21 + x1(t)*x2(t)*k12 + x1(t)*u(t)*b1 - x1(t)*K_M*k21 - x1(t)*V_M + x2(t)*K_M*k12 + u(t)*K_M*b1)//(x1(t) + K_M) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)*c │ , ident_funcs = Nemo.QQMPolyRingElem[k21, k12, k02, b1*c, V_M*c, K_M*c, x2(t)*c, x1(t)*c], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 11 variables x1(t), x2(t), y(t), u(t), ..., k21 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.004207801 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003831235 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.699e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.107733674 [ Info: Selecting generators in 0.019585309 [ Info: Inclusion checked with probability 0.995 in 0.010089427 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000174039 [ Info: Selecting generators in 0.023419334 [ Info: Inclusion checked with probability 0.995 in 0.018022664 seconds [ Info: The search for identifiable functions concluded in 0.274911589 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k21, k12, k02, b1*c, V_M*c, K_M*c, x1(t)*c, x2(t)//b1] │ case = │ (ode = x1'(t) = (-x1(t)^2*k21 + x1(t)*x2(t)*k12 + x1(t)*u(t)*b1 - x1(t)*K_M*k21 - x1(t)*V_M + x2(t)*K_M*k12 + u(t)*K_M*b1)//(x1(t) + K_M) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)*c │ , ident_funcs = Nemo.QQMPolyRingElem[k21, k12, k02, b1*c, V_M*c, K_M*c, x2(t)*c, x1(t)*c], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 11 variables x1(t), x2(t), y(t), u(t), ..., k21 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.004768425 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004495039 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.601e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.104442624 [ Info: Selecting generators in 0.018770457 [ Info: Inclusion checked with probability 0.995 in 0.009346644 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000174598 [ Info: Selecting generators in 0.022400563 [ Info: Inclusion checked with probability 0.995 in 0.018579569 seconds [ Info: The search for identifiable functions concluded in 0.272009635 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k21, k12, k02, b1*c, V_M*c, K_M*c, x1(t)*c, x2(t)//b1] │ case = │ (ode = x1'(t) = (-x1(t)^2*k21 + x1(t)*x2(t)*k12 + x1(t)*u(t)*b1 - x1(t)*K_M*k21 - x1(t)*V_M + x2(t)*K_M*k12 + u(t)*K_M*b1)//(x1(t) + K_M) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)*c │ , ident_funcs = Nemo.QQMPolyRingElem[k21, k12, k02, b1*c, V_M*c, K_M*c, x2(t)*c, x1(t)*c], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 11 variables x1(t), x2(t), y(t), u(t), ..., k21 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.004720406 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005299231 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 4.0159e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.100963166 [ Info: Selecting generators in 0.018343891 [ Info: Inclusion checked with probability 0.995 in 0.009594642 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 2.457653677 [ Info: Selecting generators in 0.026893012 [ Info: Inclusion checked with probability 0.995 in 0.018680027 seconds [ Info: The search for identifiable functions concluded in 2.735038672 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k21, k12, k02, b1*c, V_M*c, K_M*c, x2(t)*c, x1(t)*c] │ case = │ (ode = x1'(t) = (-x1(t)^2*k21 + x1(t)*x2(t)*k12 + x1(t)*u(t)*b1 - x1(t)*K_M*k21 - x1(t)*V_M + x2(t)*K_M*k12 + u(t)*K_M*b1)//(x1(t) + K_M) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)*c │ , ident_funcs = Nemo.QQMPolyRingElem[k21, k12, k02, b1*c, V_M*c, K_M*c, x2(t)*c, x1(t)*c], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 11 variables x1(t), x2(t), y(t), u(t), ..., k21 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), u(t), K_M, V_M, b1, c, k02, k12, k21] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.005061253 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004243391 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 4.7419e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.100272653 [ Info: Selecting generators in 0.017386059 [ Info: Inclusion checked with probability 0.995 in 0.008935657 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.346733294 [ Info: Selecting generators in 0.022355374 [ Info: Inclusion checked with probability 0.995 in 0.016422158 seconds [ Info: The search for identifiable functions concluded in 0.603602018 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k21, k12, k02, b1*c, V_M*c, K_M*c, x2(t)*c, x1(t)*c] │ case = │ (ode = x1'(t) = (-x1(t)^2*k21 + x1(t)*x2(t)*k12 + x1(t)*u(t)*b1 - x1(t)*K_M*k21 - x1(t)*V_M + x2(t)*K_M*k12 + u(t)*K_M*b1)//(x1(t) + K_M) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)*c │ , ident_funcs = Nemo.QQMPolyRingElem[k21, k12, k02, b1*c, V_M*c, K_M*c, x2(t)*c, x1(t)*c], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 11 variables x1(t), x2(t), y(t), u(t), ..., k21 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), u(t), K_M, V_M, b1, c, k02, k12, k21] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.004261591 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003916854 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.681e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.083919764 [ Info: Selecting generators in 0.025848831 [ Info: Inclusion checked with probability 0.995 in 0.008955618 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.337104113 [ Info: Selecting generators in 0.023169856 [ Info: Inclusion checked with probability 0.995 in 0.017557877 seconds [ Info: The search for identifiable functions concluded in 0.585313058 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[k21, k12, k02, b1*c, V_M*c, K_M*c, x2(t)*c, x1(t)*c] │ case = │ (ode = x1'(t) = (-x1(t)^2*k21 + x1(t)*x2(t)*k12 + x1(t)*u(t)*b1 - x1(t)*K_M*k21 - x1(t)*V_M + x2(t)*K_M*k12 + u(t)*K_M*b1)//(x1(t) + K_M) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)*c │ , ident_funcs = Nemo.QQMPolyRingElem[k21, k12, k02, b1*c, V_M*c, K_M*c, x2(t)*c, x1(t)*c], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 11 variables x1(t), x2(t), y(t), u(t), ..., k21 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), u(t), K_M, V_M, b1, c, k02, k12, k21] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.005727137 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004307751 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.646e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000154908 [ Info: Selecting generators in 0.012144308 [ Info: Inclusion checked with probability 0.995 in 0.011162567 seconds [ Info: The search for identifiable functions concluded in 0.127500931 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, k12 + k31, k02 + k03 + k13 - k31, k02*k03 + k02*k13 + k03*k12 + k12*k13, (k12*k21 + k13*k31)//(k12 + k31), (k12*k21 - k13*k31)//(k02 - k03 + k12 - k13)] │ case = │ (ode = x1'(t) = -x1(t)*k12 - x1(t)*k31 + x2(t)*k12 + x3(t)*k13 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ x3'(t) = x1(t)*k31 - x3(t)*k03 - x3(t)*k13 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31], with_states = false) │ simplify = :weak │ R = │ Multivariate polynomial ring in 12 variables x1(t), x2(t), x3(t), y(t), ..., v │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.00543589 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004698746 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.819e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000179039 [ Info: Selecting generators in 0.013655854 [ Info: Inclusion checked with probability 0.995 in 0.011248866 seconds [ Info: The search for identifiable functions concluded in 0.13302424 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, k12 + k31, k02 + k03 + k13 - k31, k02*k03 + k02*k13 + k03*k12 + k12*k13, (k12*k21 + k13*k31)//(k12 + k31), (k12*k21 - k13*k31)//(k02 - k03 + k12 - k13)] │ case = │ (ode = x1'(t) = -x1(t)*k12 - x1(t)*k31 + x2(t)*k12 + x3(t)*k13 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ x3'(t) = x1(t)*k31 - x3(t)*k03 - x3(t)*k13 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31], with_states = false) │ simplify = :weak │ R = │ Multivariate polynomial ring in 12 variables x1(t), x2(t), x3(t), y(t), ..., v │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.006587619 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004435339 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 1.908e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000193469 [ Info: Selecting generators in 0.014242368 [ Info: Inclusion checked with probability 0.995 in 0.012704422 seconds [ Info: The search for identifiable functions concluded in 0.13847747 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, k12 + k31, k02 + k03 + k13 - k31, k02*k03 + k02*k13 + k03*k12 + k12*k13, (k12*k21 + k13*k31)//(k12 + k31), (k12*k21 - k13*k31)//(k02 - k03 + k12 - k13)] │ case = │ (ode = x1'(t) = -x1(t)*k12 - x1(t)*k31 + x2(t)*k12 + x3(t)*k13 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ x3'(t) = x1(t)*k31 - x3(t)*k03 - x3(t)*k13 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31], with_states = false) │ simplify = :weak │ R = │ Multivariate polynomial ring in 12 variables x1(t), x2(t), x3(t), y(t), ..., v │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.006798637 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004955054 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.484e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.169487232 [ Info: Selecting generators in 0.017726487 [ Info: Inclusion checked with probability 0.995 in 0.009272755 seconds [ Info: The search for identifiable functions concluded in 0.30610868 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31] │ case = │ (ode = x1'(t) = -x1(t)*k12 - x1(t)*k31 + x2(t)*k12 + x3(t)*k13 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ x3'(t) = x1(t)*k31 - x3(t)*k03 - x3(t)*k13 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31], with_states = false) │ simplify = :standard │ R = │ Multivariate polynomial ring in 12 variables x1(t), x2(t), x3(t), y(t), ..., v │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), u(t), k02, k03, k12, k13, k21, k31, v] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.00649088 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004424219 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.407e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.167500201 [ Info: Selecting generators in 0.019084144 [ Info: Inclusion checked with probability 0.995 in 0.009802129 seconds [ Info: The search for identifiable functions concluded in 0.304432115 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31] │ case = │ (ode = x1'(t) = -x1(t)*k12 - x1(t)*k31 + x2(t)*k12 + x3(t)*k13 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ x3'(t) = x1(t)*k31 - x3(t)*k03 - x3(t)*k13 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31], with_states = false) │ simplify = :standard │ R = │ Multivariate polynomial ring in 12 variables x1(t), x2(t), x3(t), y(t), ..., v │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), u(t), k02, k03, k12, k13, k21, k31, v] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.006637599 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005295802 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 3.0389e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.182652051 [ Info: Selecting generators in 0.020264643 [ Info: Inclusion checked with probability 0.995 in 0.009910209 seconds [ Info: The search for identifiable functions concluded in 0.321745205 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31] │ case = │ (ode = x1'(t) = -x1(t)*k12 - x1(t)*k31 + x2(t)*k12 + x3(t)*k13 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ x3'(t) = x1(t)*k31 - x3(t)*k03 - x3(t)*k13 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31], with_states = false) │ simplify = :standard │ R = │ Multivariate polynomial ring in 12 variables x1(t), x2(t), x3(t), y(t), ..., v │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), u(t), k02, k03, k12, k13, k21, k31, v] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.006192962 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004821316 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.893e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.577720443 [ Info: Selecting generators in 0.023901779 [ Info: Inclusion checked with probability 0.995 in 0.0108266 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000229778 [ Info: Selecting generators in 0.052908361 [ Info: Inclusion checked with probability 0.995 in 0.020406621 seconds [ Info: The search for identifiable functions concluded in 2.019634387 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, x1(t), k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, k02*k03 + k02*k13 + k03*k12 + k12*k13, x1(t)*k12 + x1(t)*k31 - x2(t)*k12 - x3(t)*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31, (x2(t)*k12 - x3(t)*k13)//(k02 - k03 + k12 - k13)] │ case = │ (ode = x1'(t) = -x1(t)*k12 - x1(t)*k31 + x2(t)*k12 + x3(t)*k13 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ x3'(t) = x1(t)*k31 - x3(t)*k03 - x3(t)*k13 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, x1(t), k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, x2(t)*k12 + x3(t)*k13, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31, x2(t)*k03*k12 + x2(t)*k12*k13 + x3(t)*k02*k13 + x3(t)*k12*k13], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 12 variables x1(t), x2(t), x3(t), y(t), ..., v │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.006077864 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004678907 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.247e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.165766637 [ Info: Selecting generators in 0.015529276 [ Info: Inclusion checked with probability 0.995 in 0.008295554 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000224338 [ Info: Selecting generators in 0.044646688 [ Info: Inclusion checked with probability 0.995 in 0.018142532 seconds [ Info: The search for identifiable functions concluded in 0.545257799 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, x1(t), k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, k02*k03 + k02*k13 + k03*k12 + k12*k13, x1(t)*k12 + x1(t)*k31 - x2(t)*k12 - x3(t)*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31, (x2(t)*k12 - x3(t)*k13)//(k02 - k03 + k12 - k13)] │ case = │ (ode = x1'(t) = -x1(t)*k12 - x1(t)*k31 + x2(t)*k12 + x3(t)*k13 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ x3'(t) = x1(t)*k31 - x3(t)*k03 - x3(t)*k13 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, x1(t), k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, x2(t)*k12 + x3(t)*k13, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31, x2(t)*k03*k12 + x2(t)*k12*k13 + x3(t)*k02*k13 + x3(t)*k12*k13], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 12 variables x1(t), x2(t), x3(t), y(t), ..., v │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.005293101 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003963054 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.3249e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.140647839 [ Info: Selecting generators in 0.015601745 [ Info: Inclusion checked with probability 0.995 in 0.008140785 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000199748 [ Info: Selecting generators in 0.046563339 [ Info: Inclusion checked with probability 0.995 in 0.01846998 seconds [ Info: The search for identifiable functions concluded in 0.518270068 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, x1(t), k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, k02*k03 + k02*k13 + k03*k12 + k12*k13, x1(t)*k12 + x1(t)*k31 - x2(t)*k12 - x3(t)*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31, (x2(t)*k12 - x3(t)*k13)//(k02 - k03 + k12 - k13)] │ case = │ (ode = x1'(t) = -x1(t)*k12 - x1(t)*k31 + x2(t)*k12 + x3(t)*k13 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ x3'(t) = x1(t)*k31 - x3(t)*k03 - x3(t)*k13 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, x1(t), k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, x2(t)*k12 + x3(t)*k13, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31, x2(t)*k03*k12 + x2(t)*k12*k13 + x3(t)*k02*k13 + x3(t)*k12*k13], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 12 variables x1(t), x2(t), x3(t), y(t), ..., v │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.005263312 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003877364 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.106e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.144201956 [ Info: Selecting generators in 0.015419637 [ Info: Inclusion checked with probability 0.995 in 0.008269344 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 2.547306277 [ Info: Selecting generators in 0.06487922 [ Info: Inclusion checked with probability 0.995 in 0.020150444 seconds [ Info: The search for identifiable functions concluded in 3.077533673 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, x1(t), k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, x2(t)*k12 + x3(t)*k13, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31, x2(t)*k03*k12 + x2(t)*k12*k13 + x3(t)*k02*k13 + x3(t)*k12*k13] │ case = │ (ode = x1'(t) = -x1(t)*k12 - x1(t)*k31 + x2(t)*k12 + x3(t)*k13 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ x3'(t) = x1(t)*k31 - x3(t)*k03 - x3(t)*k13 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, x1(t), k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, x2(t)*k12 + x3(t)*k13, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31, x2(t)*k03*k12 + x2(t)*k12*k13 + x3(t)*k02*k13 + x3(t)*k12*k13], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 12 variables x1(t), x2(t), x3(t), y(t), ..., v │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), u(t), k02, k03, k12, k13, k21, k31, v] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.005450239 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004079852 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 1.767e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.167724158 [ Info: Selecting generators in 0.016799804 [ Info: Inclusion checked with probability 0.995 in 0.008816929 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 2.186880786 [ Info: Selecting generators in 0.074367512 [ Info: Inclusion checked with probability 0.995 in 0.019953895 seconds [ Info: The search for identifiable functions concluded in 2.782373649 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, x1(t), k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, x2(t)*k12 + x3(t)*k13, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31, x2(t)*k03*k12 + x2(t)*k12*k13 + x3(t)*k02*k13 + x3(t)*k12*k13] │ case = │ (ode = x1'(t) = -x1(t)*k12 - x1(t)*k31 + x2(t)*k12 + x3(t)*k13 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ x3'(t) = x1(t)*k31 - x3(t)*k03 - x3(t)*k13 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, x1(t), k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, x2(t)*k12 + x3(t)*k13, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31, x2(t)*k03*k12 + x2(t)*k12*k13 + x3(t)*k02*k13 + x3(t)*k12*k13], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 12 variables x1(t), x2(t), x3(t), y(t), ..., v │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), u(t), k02, k03, k12, k13, k21, k31, v] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.00645561 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004862545 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.665e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.16871392 [ Info: Selecting generators in 0.016844825 [ Info: Inclusion checked with probability 0.995 in 0.008718499 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 2.208638786 [ Info: Selecting generators in 0.056675276 [ Info: Inclusion checked with probability 0.995 in 0.01835943 seconds [ Info: The search for identifiable functions concluded in 2.790767902 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, x1(t), k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, x2(t)*k12 + x3(t)*k13, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31, x2(t)*k03*k12 + x2(t)*k12*k13 + x3(t)*k02*k13 + x3(t)*k12*k13] │ case = │ (ode = x1'(t) = -x1(t)*k12 - x1(t)*k31 + x2(t)*k12 + x3(t)*k13 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ x3'(t) = x1(t)*k31 - x3(t)*k03 - x3(t)*k13 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, x1(t), k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, x2(t)*k12 + x3(t)*k13, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31, x2(t)*k03*k12 + x2(t)*k12*k13 + x3(t)*k02*k13 + x3(t)*k12*k13], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 12 variables x1(t), x2(t), x3(t), y(t), ..., v │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), u(t), k02, k03, k12, k13, k21, k31, v] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.016648756 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007235833 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 3.9789e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000117939 [ Info: Selecting generators in 0.008283684 [ Info: Inclusion checked with probability 0.995 in 0.006802157 seconds [ Info: The search for identifiable functions concluded in 0.074972427 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a31, a13, a03 + a43, a04 + a24 + a42, a24*a43, a04*a42] │ case = │ (ode = x1'(t) = -x1(t)*a31 + x3(t)*a13 + u(t) │ x2'(t) = -x2(t)*a42 + x4(t)*a24 │ x3'(t) = x1(t)*a31 - x3(t)*a03 - x3(t)*a13 - x3(t)*a43 │ x4'(t) = x2(t)*a42 + x3(t)*a43 - x4(t)*a04 - x4(t)*a24 │ y1(t) = x1(t) │ y2(t) = x2(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a31, a13, a03 + a43, a04 + a24 + a42, a24*a43, a04*a42], with_states = false) │ simplify = :weak │ R = │ Multivariate polynomial ring in 14 variables x1(t), x2(t), x3(t), x4(t), ..., a43 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.016890094 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.008428792 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 3.024e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000180468 [ Info: Selecting generators in 0.012673162 [ Info: Inclusion checked with probability 0.995 in 0.009549542 seconds [ Info: The search for identifiable functions concluded in 1.124025095 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a31, a13, a03 + a43, a04 + a24 + a42, a24*a43, a04*a42] │ case = │ (ode = x1'(t) = -x1(t)*a31 + x3(t)*a13 + u(t) │ x2'(t) = -x2(t)*a42 + x4(t)*a24 │ x3'(t) = x1(t)*a31 - x3(t)*a03 - x3(t)*a13 - x3(t)*a43 │ x4'(t) = x2(t)*a42 + x3(t)*a43 - x4(t)*a04 - x4(t)*a24 │ y1(t) = x1(t) │ y2(t) = x2(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a31, a13, a03 + a43, a04 + a24 + a42, a24*a43, a04*a42], with_states = false) │ simplify = :weak │ R = │ Multivariate polynomial ring in 14 variables x1(t), x2(t), x3(t), x4(t), ..., a43 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.021440862 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.012498074 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 3.4819e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000181418 [ Info: Selecting generators in 0.012142298 [ Info: Inclusion checked with probability 0.995 in 0.00864576 seconds [ Info: The search for identifiable functions concluded in 0.102390253 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a31, a13, a03 + a43, a04 + a24 + a42, a24*a43, a04*a42] │ case = │ (ode = x1'(t) = -x1(t)*a31 + x3(t)*a13 + u(t) │ x2'(t) = -x2(t)*a42 + x4(t)*a24 │ x3'(t) = x1(t)*a31 - x3(t)*a03 - x3(t)*a13 - x3(t)*a43 │ x4'(t) = x2(t)*a42 + x3(t)*a43 - x4(t)*a04 - x4(t)*a24 │ y1(t) = x1(t) │ y2(t) = x2(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a31, a13, a03 + a43, a04 + a24 + a42, a24*a43, a04*a42], with_states = false) │ simplify = :weak │ R = │ Multivariate polynomial ring in 14 variables x1(t), x2(t), x3(t), x4(t), ..., a43 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.018776687 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.009527652 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 3.136e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.097231391 [ Info: Selecting generators in 0.010245295 [ Info: Inclusion checked with probability 0.995 in 0.007636059 seconds [ Info: The search for identifiable functions concluded in 0.184392905 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a31, a13, a03 + a43, a04 + a24 + a42, a24*a43, a04*a42] │ case = │ (ode = x1'(t) = -x1(t)*a31 + x3(t)*a13 + u(t) │ x2'(t) = -x2(t)*a42 + x4(t)*a24 │ x3'(t) = x1(t)*a31 - x3(t)*a03 - x3(t)*a13 - x3(t)*a43 │ x4'(t) = x2(t)*a42 + x3(t)*a43 - x4(t)*a04 - x4(t)*a24 │ y1(t) = x1(t) │ y2(t) = x2(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a31, a13, a03 + a43, a04 + a24 + a42, a24*a43, a04*a42], with_states = false) │ simplify = :standard │ R = │ Multivariate polynomial ring in 14 variables x1(t), x2(t), x3(t), x4(t), ..., a43 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y1(t), y2(t), u(t), a03, a04, a13, a24, a31, a42, a43] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.016980493 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.008162364 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 3.5219e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.08973956 [ Info: Selecting generators in 0.009237215 [ Info: Inclusion checked with probability 0.995 in 0.007834938 seconds [ Info: The search for identifiable functions concluded in 0.170453373 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a31, a13, a03 + a43, a04 + a24 + a42, a24*a43, a04*a42] │ case = │ (ode = x1'(t) = -x1(t)*a31 + x3(t)*a13 + u(t) │ x2'(t) = -x2(t)*a42 + x4(t)*a24 │ x3'(t) = x1(t)*a31 - x3(t)*a03 - x3(t)*a13 - x3(t)*a43 │ x4'(t) = x2(t)*a42 + x3(t)*a43 - x4(t)*a04 - x4(t)*a24 │ y1(t) = x1(t) │ y2(t) = x2(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a31, a13, a03 + a43, a04 + a24 + a42, a24*a43, a04*a42], with_states = false) │ simplify = :standard │ R = │ Multivariate polynomial ring in 14 variables x1(t), x2(t), x3(t), x4(t), ..., a43 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y1(t), y2(t), u(t), a03, a04, a13, a24, a31, a42, a43] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.016846935 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.008004176 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 3.024e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.086456491 [ Info: Selecting generators in 0.009389233 [ Info: Inclusion checked with probability 0.995 in 0.007342852 seconds [ Info: The search for identifiable functions concluded in 0.164239121 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a31, a13, a03 + a43, a04 + a24 + a42, a24*a43, a04*a42] │ case = │ (ode = x1'(t) = -x1(t)*a31 + x3(t)*a13 + u(t) │ x2'(t) = -x2(t)*a42 + x4(t)*a24 │ x3'(t) = x1(t)*a31 - x3(t)*a03 - x3(t)*a13 - x3(t)*a43 │ x4'(t) = x2(t)*a42 + x3(t)*a43 - x4(t)*a04 - x4(t)*a24 │ y1(t) = x1(t) │ y2(t) = x2(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a31, a13, a03 + a43, a04 + a24 + a42, a24*a43, a04*a42], with_states = false) │ simplify = :standard │ R = │ Multivariate polynomial ring in 14 variables x1(t), x2(t), x3(t), x4(t), ..., a43 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y1(t), y2(t), u(t), a03, a04, a13, a24, a31, a42, a43] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.016271309 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00758791 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.754e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.083441658 [ Info: Selecting generators in 0.009343633 [ Info: Inclusion checked with probability 0.995 in 0.007581429 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000177598 [ Info: Selecting generators in 0.026638103 [ Info: Inclusion checked with probability 0.995 in 0.013596514 seconds [ Info: The search for identifiable functions concluded in 0.288036896 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a31, a13, x3(t), x2(t), x1(t), a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x2(t)*a42 - x4(t)*a24] │ case = │ (ode = x1'(t) = -x1(t)*a31 + x3(t)*a13 + u(t) │ x2'(t) = -x2(t)*a42 + x4(t)*a24 │ x3'(t) = x1(t)*a31 - x3(t)*a03 - x3(t)*a13 - x3(t)*a43 │ x4'(t) = x2(t)*a42 + x3(t)*a43 - x4(t)*a04 - x4(t)*a24 │ y1(t) = x1(t) │ y2(t) = x2(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a31, a13, x3(t), x2(t), x1(t), a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x2(t)*a42 - x4(t)*a24], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 14 variables x1(t), x2(t), x3(t), x4(t), ..., a43 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.017201691 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.008139455 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.867e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.081982982 [ Info: Selecting generators in 0.010642382 [ Info: Inclusion checked with probability 0.995 in 0.008242024 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000167698 [ Info: Selecting generators in 0.028672735 [ Info: Inclusion checked with probability 0.995 in 0.013963251 seconds [ Info: The search for identifiable functions concluded in 0.29198578 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a31, a13, x3(t), x2(t), x1(t), a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x2(t)*a42 - x4(t)*a24] │ case = │ (ode = x1'(t) = -x1(t)*a31 + x3(t)*a13 + u(t) │ x2'(t) = -x2(t)*a42 + x4(t)*a24 │ x3'(t) = x1(t)*a31 - x3(t)*a03 - x3(t)*a13 - x3(t)*a43 │ x4'(t) = x2(t)*a42 + x3(t)*a43 - x4(t)*a04 - x4(t)*a24 │ y1(t) = x1(t) │ y2(t) = x2(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a31, a13, x3(t), x2(t), x1(t), a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x2(t)*a42 - x4(t)*a24], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 14 variables x1(t), x2(t), x3(t), x4(t), ..., a43 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.016602777 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007960356 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 3.052e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.079700573 [ Info: Selecting generators in 0.009518822 [ Info: Inclusion checked with probability 0.995 in 0.007827648 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000187718 [ Info: Selecting generators in 0.02703384 [ Info: Inclusion checked with probability 0.995 in 0.013655443 seconds [ Info: The search for identifiable functions concluded in 0.284851946 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a31, a13, x3(t), x2(t), x1(t), a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x2(t)*a42 - x4(t)*a24] │ case = │ (ode = x1'(t) = -x1(t)*a31 + x3(t)*a13 + u(t) │ x2'(t) = -x2(t)*a42 + x4(t)*a24 │ x3'(t) = x1(t)*a31 - x3(t)*a03 - x3(t)*a13 - x3(t)*a43 │ x4'(t) = x2(t)*a42 + x3(t)*a43 - x4(t)*a04 - x4(t)*a24 │ y1(t) = x1(t) │ y2(t) = x2(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a31, a13, x3(t), x2(t), x1(t), a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x2(t)*a42 - x4(t)*a24], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 14 variables x1(t), x2(t), x3(t), x4(t), ..., a43 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.01726673 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.008049146 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.7669e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.080276398 [ Info: Selecting generators in 0.009535372 [ Info: Inclusion checked with probability 0.995 in 0.007908457 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.919994942 [ Info: Selecting generators in 0.03033773 [ Info: Inclusion checked with probability 0.995 in 0.014164819 seconds [ Info: The search for identifiable functions concluded in 2.212769265 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a31, a13, x3(t), x2(t), x1(t), a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x2(t)*a42 - x4(t)*a24] │ case = │ (ode = x1'(t) = -x1(t)*a31 + x3(t)*a13 + u(t) │ x2'(t) = -x2(t)*a42 + x4(t)*a24 │ x3'(t) = x1(t)*a31 - x3(t)*a03 - x3(t)*a13 - x3(t)*a43 │ x4'(t) = x2(t)*a42 + x3(t)*a43 - x4(t)*a04 - x4(t)*a24 │ y1(t) = x1(t) │ y2(t) = x2(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a31, a13, x3(t), x2(t), x1(t), a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x2(t)*a42 - x4(t)*a24], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 14 variables x1(t), x2(t), x3(t), x4(t), ..., a43 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y1(t), y2(t), u(t), a03, a04, a13, a24, a31, a42, a43] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.017548228 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.008397953 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.6e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.092855971 [ Info: Selecting generators in 0.009279674 [ Info: Inclusion checked with probability 0.995 in 0.00754432 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.59580223 [ Info: Selecting generators in 0.025354056 [ Info: Inclusion checked with probability 0.995 in 0.01297971 seconds [ Info: The search for identifiable functions concluded in 0.896149092 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a31, a13, x3(t), x2(t), x1(t), a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x2(t)*a42 - x4(t)*a24] │ case = │ (ode = x1'(t) = -x1(t)*a31 + x3(t)*a13 + u(t) │ x2'(t) = -x2(t)*a42 + x4(t)*a24 │ x3'(t) = x1(t)*a31 - x3(t)*a03 - x3(t)*a13 - x3(t)*a43 │ x4'(t) = x2(t)*a42 + x3(t)*a43 - x4(t)*a04 - x4(t)*a24 │ y1(t) = x1(t) │ y2(t) = x2(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a31, a13, x3(t), x2(t), x1(t), a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x2(t)*a42 - x4(t)*a24], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 14 variables x1(t), x2(t), x3(t), x4(t), ..., a43 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y1(t), y2(t), u(t), a03, a04, a13, a24, a31, a42, a43] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.015352178 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006732788 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 3.084e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.077167907 [ Info: Selecting generators in 0.00861417 [ Info: Inclusion checked with probability 0.995 in 0.007310853 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 2.031099434 [ Info: Selecting generators in 0.022186415 [ Info: Inclusion checked with probability 0.995 in 0.011586703 seconds [ Info: The search for identifiable functions concluded in 2.297382892 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a31, a13, x3(t), x2(t), x1(t), a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x2(t)*a42 - x4(t)*a24] │ case = │ (ode = x1'(t) = -x1(t)*a31 + x3(t)*a13 + u(t) │ x2'(t) = -x2(t)*a42 + x4(t)*a24 │ x3'(t) = x1(t)*a31 - x3(t)*a03 - x3(t)*a13 - x3(t)*a43 │ x4'(t) = x2(t)*a42 + x3(t)*a43 - x4(t)*a04 - x4(t)*a24 │ y1(t) = x1(t) │ y2(t) = x2(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a31, a13, x3(t), x2(t), x1(t), a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x2(t)*a42 - x4(t)*a24], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 14 variables x1(t), x2(t), x3(t), x4(t), ..., a43 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y1(t), y2(t), u(t), a03, a04, a13, a24, a31, a42, a43] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002858553 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00221026 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.754e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000104499 [ Info: Selecting generators in 0.002656165 [ Info: Inclusion checked with probability 0.995 in 0.004063842 seconds [ Info: The search for identifiable functions concluded in 0.024346165 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[nu, mu, beta, N*k] │ case = │ (ode = S'(t) = (-S(t)*I(t)*beta - S(t)*N*mu + N^2*mu)//N │ I'(t) = (S(t)*I(t)*beta - I(t)*N*mu - I(t)*N*nu)//N │ y(t) = I(t)*k │ , ident_funcs = Nemo.QQMPolyRingElem[nu, mu, beta, N*k], with_states = false) │ simplify = :weak │ R = │ Multivariate polynomial ring in 8 variables S(t), I(t), y(t), N, ..., nu │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002262559 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001655135 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.899e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.9799e-5 [ Info: Selecting generators in 0.002616915 [ Info: Inclusion checked with probability 0.995 in 0.003840315 seconds [ Info: The search for identifiable functions concluded in 0.022408653 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[nu, mu, beta, N*k] │ case = │ (ode = S'(t) = (-S(t)*I(t)*beta - S(t)*N*mu + N^2*mu)//N │ I'(t) = (S(t)*I(t)*beta - I(t)*N*mu - I(t)*N*nu)//N │ y(t) = I(t)*k │ , ident_funcs = Nemo.QQMPolyRingElem[nu, mu, beta, N*k], with_states = false) │ simplify = :weak │ R = │ Multivariate polynomial ring in 8 variables S(t), I(t), y(t), N, ..., nu │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.00223843 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001637115 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.862e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.095e-5 [ Info: Selecting generators in 0.003585917 [ Info: Inclusion checked with probability 0.995 in 0.005155762 seconds [ Info: The search for identifiable functions concluded in 0.02586647 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[nu, mu, beta, N*k] │ case = │ (ode = S'(t) = (-S(t)*I(t)*beta - S(t)*N*mu + N^2*mu)//N │ I'(t) = (S(t)*I(t)*beta - I(t)*N*mu - I(t)*N*nu)//N │ y(t) = I(t)*k │ , ident_funcs = Nemo.QQMPolyRingElem[nu, mu, beta, N*k], with_states = false) │ simplify = :weak │ R = │ Multivariate polynomial ring in 8 variables S(t), I(t), y(t), N, ..., nu │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002944083 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002038201 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.527e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.0173569 [ Info: Selecting generators in 0.003568107 [ Info: Inclusion checked with probability 0.995 in 0.004917754 seconds [ Info: The search for identifiable functions concluded in 0.046108803 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[nu, mu, beta, N*k] │ case = │ (ode = S'(t) = (-S(t)*I(t)*beta - S(t)*N*mu + N^2*mu)//N │ I'(t) = (S(t)*I(t)*beta - I(t)*N*mu - I(t)*N*nu)//N │ y(t) = I(t)*k │ , ident_funcs = Nemo.QQMPolyRingElem[nu, mu, beta, N*k], with_states = false) │ simplify = :standard │ R = │ Multivariate polynomial ring in 8 variables S(t), I(t), y(t), N, ..., nu │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[S(t), I(t), y(t), N, beta, k, mu, nu] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002710665 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001984871 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.794e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.017562767 [ Info: Selecting generators in 0.003256379 [ Info: Inclusion checked with probability 0.995 in 0.005219882 seconds [ Info: The search for identifiable functions concluded in 0.045799406 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[nu, mu, beta, N*k] │ case = │ (ode = S'(t) = (-S(t)*I(t)*beta - S(t)*N*mu + N^2*mu)//N │ I'(t) = (S(t)*I(t)*beta - I(t)*N*mu - I(t)*N*nu)//N │ y(t) = I(t)*k │ , ident_funcs = Nemo.QQMPolyRingElem[nu, mu, beta, N*k], with_states = false) │ simplify = :standard │ R = │ Multivariate polynomial ring in 8 variables S(t), I(t), y(t), N, ..., nu │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[S(t), I(t), y(t), N, beta, k, mu, nu] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003135661 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002285639 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.095e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.017702496 [ Info: Selecting generators in 0.003689916 [ Info: Inclusion checked with probability 0.995 in 0.005076663 seconds [ Info: The search for identifiable functions concluded in 0.046880227 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[nu, mu, beta, N*k] │ case = │ (ode = S'(t) = (-S(t)*I(t)*beta - S(t)*N*mu + N^2*mu)//N │ I'(t) = (S(t)*I(t)*beta - I(t)*N*mu - I(t)*N*nu)//N │ y(t) = I(t)*k │ , ident_funcs = Nemo.QQMPolyRingElem[nu, mu, beta, N*k], with_states = false) │ simplify = :standard │ R = │ Multivariate polynomial ring in 8 variables S(t), I(t), y(t), N, ..., nu │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[S(t), I(t), y(t), N, beta, k, mu, nu] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002971432 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002287359 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.6269e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.018301001 [ Info: Selecting generators in 0.003631776 [ Info: Inclusion checked with probability 0.995 in 0.004895605 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000108469 [ Info: Selecting generators in 0.006851277 [ Info: Inclusion checked with probability 0.995 in 0.007305653 seconds [ Info: The search for identifiable functions concluded in 0.084949915 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[nu, mu, beta, N*k, I(t)*k, S(t)//N] │ case = │ (ode = S'(t) = (-S(t)*I(t)*beta - S(t)*N*mu + N^2*mu)//N │ I'(t) = (S(t)*I(t)*beta - I(t)*N*mu - I(t)*N*nu)//N │ y(t) = I(t)*k │ , ident_funcs = Nemo.QQMPolyRingElem[nu, mu, beta, N*k, I(t)*k, S(t)*k], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 8 variables S(t), I(t), y(t), N, ..., nu │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002849404 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00220567 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.4829e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.017733936 [ Info: Selecting generators in 0.003176701 [ Info: Inclusion checked with probability 0.995 in 0.004626918 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000136059 [ Info: Selecting generators in 0.007389592 [ Info: Inclusion checked with probability 0.995 in 0.007648329 seconds [ Info: The search for identifiable functions concluded in 0.083574917 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[nu, mu, beta, N*k, I(t)*k, S(t)//N] │ case = │ (ode = S'(t) = (-S(t)*I(t)*beta - S(t)*N*mu + N^2*mu)//N │ I'(t) = (S(t)*I(t)*beta - I(t)*N*mu - I(t)*N*nu)//N │ y(t) = I(t)*k │ , ident_funcs = Nemo.QQMPolyRingElem[nu, mu, beta, N*k, I(t)*k, S(t)*k], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 8 variables S(t), I(t), y(t), N, ..., nu │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002606966 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001902933 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.0029e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.030815925 [ Info: Selecting generators in 0.003590217 [ Info: Inclusion checked with probability 0.995 in 0.007433961 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000113938 [ Info: Selecting generators in 0.006956286 [ Info: Inclusion checked with probability 0.995 in 0.007390092 seconds [ Info: The search for identifiable functions concluded in 0.098259582 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[nu, mu, beta, N*k, I(t)*k, S(t)//N] │ case = │ (ode = S'(t) = (-S(t)*I(t)*beta - S(t)*N*mu + N^2*mu)//N │ I'(t) = (S(t)*I(t)*beta - I(t)*N*mu - I(t)*N*nu)//N │ y(t) = I(t)*k │ , ident_funcs = Nemo.QQMPolyRingElem[nu, mu, beta, N*k, I(t)*k, S(t)*k], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 8 variables S(t), I(t), y(t), N, ..., nu │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003070221 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002020022 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.861e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.017760255 [ Info: Selecting generators in 0.00326779 [ Info: Inclusion checked with probability 0.995 in 0.005004984 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.093123799 [ Info: Selecting generators in 0.00972613 [ Info: Inclusion checked with probability 0.995 in 0.007805608 seconds [ Info: The search for identifiable functions concluded in 0.179573979 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[nu, mu, beta, N*k, I(t)*k, S(t)*k] │ case = │ (ode = S'(t) = (-S(t)*I(t)*beta - S(t)*N*mu + N^2*mu)//N │ I'(t) = (S(t)*I(t)*beta - I(t)*N*mu - I(t)*N*nu)//N │ y(t) = I(t)*k │ , ident_funcs = Nemo.QQMPolyRingElem[nu, mu, beta, N*k, I(t)*k, S(t)*k], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 8 variables S(t), I(t), y(t), N, ..., nu │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[S(t), I(t), y(t), N, beta, k, mu, nu] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003089242 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002044401 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.5e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.018288341 [ Info: Selecting generators in 0.003359669 [ Info: Inclusion checked with probability 0.995 in 0.004795285 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.086773688 [ Info: Selecting generators in 0.009521682 [ Info: Inclusion checked with probability 0.995 in 0.006699198 seconds [ Info: The search for identifiable functions concluded in 0.171987269 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[nu, mu, beta, N*k, I(t)*k, S(t)*k] │ case = │ (ode = S'(t) = (-S(t)*I(t)*beta - S(t)*N*mu + N^2*mu)//N │ I'(t) = (S(t)*I(t)*beta - I(t)*N*mu - I(t)*N*nu)//N │ y(t) = I(t)*k │ , ident_funcs = Nemo.QQMPolyRingElem[nu, mu, beta, N*k, I(t)*k, S(t)*k], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 8 variables S(t), I(t), y(t), N, ..., nu │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[S(t), I(t), y(t), N, beta, k, mu, nu] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002917553 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002036711 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.091e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.016801205 [ Info: Selecting generators in 0.003479228 [ Info: Inclusion checked with probability 0.995 in 0.004970544 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.088197164 [ Info: Selecting generators in 0.009338514 [ Info: Inclusion checked with probability 0.995 in 0.007857257 seconds [ Info: The search for identifiable functions concluded in 0.17294261 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[nu, mu, beta, N*k, I(t)*k, S(t)*k] │ case = │ (ode = S'(t) = (-S(t)*I(t)*beta - S(t)*N*mu + N^2*mu)//N │ I'(t) = (S(t)*I(t)*beta - I(t)*N*mu - I(t)*N*nu)//N │ y(t) = I(t)*k │ , ident_funcs = Nemo.QQMPolyRingElem[nu, mu, beta, N*k, I(t)*k, S(t)*k], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 8 variables S(t), I(t), y(t), N, ..., nu │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[S(t), I(t), y(t), N, beta, k, mu, nu] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002964772 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001920832 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.578e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000101939 [ Info: Selecting generators in 0.004507999 [ Info: Inclusion checked with probability 0.995 in 0.00537123 seconds [ Info: The search for identifiable functions concluded in 0.03453877 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p5, p3, p1, p2//p4] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*p2 + x1(t)*p1 │ x2'(t) = x1(t)*x2(t)*p5 - x2(t)^2*p3*p4 + x2(t)*p3 │ y(t) = x1(t) │ , ident_funcs = AbstractAlgebra.RingElem[p5, p3, p1, p2//p4], with_states = false) │ simplify = :weak │ R = │ Multivariate polynomial ring in 8 variables x1(t), x2(t), y(t), p1, ..., p5 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002896983 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00215507 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.741e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.594e-5 [ Info: Selecting generators in 0.00428765 [ Info: Inclusion checked with probability 0.995 in 0.004900885 seconds [ Info: The search for identifiable functions concluded in 0.029815534 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p5, p3, p1, p2//p4] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*p2 + x1(t)*p1 │ x2'(t) = x1(t)*x2(t)*p5 - x2(t)^2*p3*p4 + x2(t)*p3 │ y(t) = x1(t) │ , ident_funcs = AbstractAlgebra.RingElem[p5, p3, p1, p2//p4], with_states = false) │ simplify = :weak │ R = │ Multivariate polynomial ring in 8 variables x1(t), x2(t), y(t), p1, ..., p5 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002522927 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001866763 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.342e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000101749 [ Info: Selecting generators in 0.004387629 [ Info: Inclusion checked with probability 0.995 in 0.005048223 seconds [ Info: The search for identifiable functions concluded in 0.028815093 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p5, p3, p1, p2//p4] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*p2 + x1(t)*p1 │ x2'(t) = x1(t)*x2(t)*p5 - x2(t)^2*p3*p4 + x2(t)*p3 │ y(t) = x1(t) │ , ident_funcs = AbstractAlgebra.RingElem[p5, p3, p1, p2//p4], with_states = false) │ simplify = :weak │ R = │ Multivariate polynomial ring in 8 variables x1(t), x2(t), y(t), p1, ..., p5 │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002529117 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001859613 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.654e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.024593112 [ Info: Selecting generators in 0.004152022 [ Info: Inclusion checked with probability 0.995 in 0.005193102 seconds [ Info: The search for identifiable functions concluded in 0.052479264 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p5, p3, p1, p2//p4] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*p2 + x1(t)*p1 │ x2'(t) = x1(t)*x2(t)*p5 - x2(t)^2*p3*p4 + x2(t)*p3 │ y(t) = x1(t) │ , ident_funcs = AbstractAlgebra.RingElem[p5, p3, p1, p2//p4], with_states = false) │ simplify = :standard │ R = │ Multivariate polynomial ring in 8 variables x1(t), x2(t), y(t), p1, ..., p5 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), p1, p2, p3, p4, p5] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003012932 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00213356 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.7519e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.025797981 [ Info: Selecting generators in 0.006041994 [ Info: Inclusion checked with probability 0.995 in 0.005069343 seconds [ Info: The search for identifiable functions concluded in 0.057105902 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p5, p3, p1, p2//p4] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*p2 + x1(t)*p1 │ x2'(t) = x1(t)*x2(t)*p5 - x2(t)^2*p3*p4 + x2(t)*p3 │ y(t) = x1(t) │ , ident_funcs = AbstractAlgebra.RingElem[p5, p3, p1, p2//p4], with_states = false) │ simplify = :standard │ R = │ Multivariate polynomial ring in 8 variables x1(t), x2(t), y(t), p1, ..., p5 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), p1, p2, p3, p4, p5] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002875963 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002351399 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.789e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.029726705 [ Info: Selecting generators in 0.00529741 [ Info: Inclusion checked with probability 0.995 in 0.005737477 seconds [ Info: The search for identifiable functions concluded in 0.063479923 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p5, p3, p1, p2//p4] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*p2 + x1(t)*p1 │ x2'(t) = x1(t)*x2(t)*p5 - x2(t)^2*p3*p4 + x2(t)*p3 │ y(t) = x1(t) │ , ident_funcs = AbstractAlgebra.RingElem[p5, p3, p1, p2//p4], with_states = false) │ simplify = :standard │ R = │ Multivariate polynomial ring in 8 variables x1(t), x2(t), y(t), p1, ..., p5 │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), p1, p2, p3, p4, p5] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002942692 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002227569 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.569e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.032266362 [ Info: Selecting generators in 0.005262071 [ Info: Inclusion checked with probability 0.995 in 0.005270201 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000130438 [ Info: Selecting generators in 0.005876766 [ Info: Inclusion checked with probability 0.995 in 0.009136005 seconds [ Info: The search for identifiable functions concluded in 0.106662323 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p5, p3, p1, x1(t), x2(t)*p4, p2//p4] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*p2 + x1(t)*p1 │ x2'(t) = x1(t)*x2(t)*p5 - x2(t)^2*p3*p4 + x2(t)*p3 │ y(t) = x1(t) │ , ident_funcs = AbstractAlgebra.RingElem[p5, p3, p1, x1(t), x2(t)*p4, p2//p4], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 8 variables x1(t), x2(t), y(t), p1, ..., p5 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002966163 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00215692 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.235e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.028023361 [ Info: Selecting generators in 0.005091583 [ Info: Inclusion checked with probability 0.995 in 0.005204002 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000132088 [ Info: Selecting generators in 0.005698397 [ Info: Inclusion checked with probability 0.995 in 0.007506021 seconds [ Info: The search for identifiable functions concluded in 0.099852226 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p5, p3, p1, x1(t), x2(t)*p4, p2//p4] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*p2 + x1(t)*p1 │ x2'(t) = x1(t)*x2(t)*p5 - x2(t)^2*p3*p4 + x2(t)*p3 │ y(t) = x1(t) │ , ident_funcs = AbstractAlgebra.RingElem[p5, p3, p1, x1(t), x2(t)*p4, p2//p4], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 8 variables x1(t), x2(t), y(t), p1, ..., p5 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002776234 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002371458 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.724e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.027123989 [ Info: Selecting generators in 0.005723288 [ Info: Inclusion checked with probability 0.995 in 0.005797287 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000141149 [ Info: Selecting generators in 0.006102833 [ Info: Inclusion checked with probability 0.995 in 0.007563451 seconds [ Info: The search for identifiable functions concluded in 0.099121343 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p5, p3, p1, x1(t), x2(t)*p4, p2//p4] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*p2 + x1(t)*p1 │ x2'(t) = x1(t)*x2(t)*p5 - x2(t)^2*p3*p4 + x2(t)*p3 │ y(t) = x1(t) │ , ident_funcs = AbstractAlgebra.RingElem[p5, p3, p1, x1(t), x2(t)*p4, p2//p4], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 8 variables x1(t), x2(t), y(t), p1, ..., p5 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002931513 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002356719 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.4819e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.026913581 [ Info: Selecting generators in 0.004499249 [ Info: Inclusion checked with probability 0.995 in 0.005088793 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.077677422 [ Info: Selecting generators in 0.007861957 [ Info: Inclusion checked with probability 0.995 in 0.008173125 seconds [ Info: The search for identifiable functions concluded in 0.176058851 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p5, p3, p1, x1(t), x2(t)*p4, p2//p4] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*p2 + x1(t)*p1 │ x2'(t) = x1(t)*x2(t)*p5 - x2(t)^2*p3*p4 + x2(t)*p3 │ y(t) = x1(t) │ , ident_funcs = AbstractAlgebra.RingElem[p5, p3, p1, x1(t), x2(t)*p4, p2//p4], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 8 variables x1(t), x2(t), y(t), p1, ..., p5 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), p1, p2, p3, p4, p5] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002763364 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002111591 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.5279e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.024614372 [ Info: Selecting generators in 0.004249331 [ Info: Inclusion checked with probability 0.995 in 0.004591768 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.072131332 [ Info: Selecting generators in 0.008867778 [ Info: Inclusion checked with probability 0.995 in 0.008763699 seconds [ Info: The search for identifiable functions concluded in 0.165034674 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p5, p3, p1, x1(t), x2(t)*p4, p2//p4] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*p2 + x1(t)*p1 │ x2'(t) = x1(t)*x2(t)*p5 - x2(t)^2*p3*p4 + x2(t)*p3 │ y(t) = x1(t) │ , ident_funcs = AbstractAlgebra.RingElem[p5, p3, p1, x1(t), x2(t)*p4, p2//p4], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 8 variables x1(t), x2(t), y(t), p1, ..., p5 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), p1, p2, p3, p4, p5] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002808034 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00216171 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.312e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.026172488 [ Info: Selecting generators in 0.004537258 [ Info: Inclusion checked with probability 0.995 in 0.006364901 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.125126783 [ Info: Selecting generators in 0.0107654 [ Info: Inclusion checked with probability 0.995 in 0.010034077 seconds [ Info: The search for identifiable functions concluded in 1.403066113 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p5, p3, p1, x1(t), x2(t)*p4, p2//p4] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*p2 + x1(t)*p1 │ x2'(t) = x1(t)*x2(t)*p5 - x2(t)^2*p3*p4 + x2(t)*p3 │ y(t) = x1(t) │ , ident_funcs = AbstractAlgebra.RingElem[p5, p3, p1, x1(t), x2(t)*p4, p2//p4], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 8 variables x1(t), x2(t), y(t), p1, ..., p5 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), p1, p2, p3, p4, p5] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.020018115 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00869248 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 3.473e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000208648 [ Info: Selecting generators in 0.019336532 [ Info: Inclusion checked with probability 0.995 in 0.012964381 seconds [ Info: The search for identifiable functions concluded in 0.22379398 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[s, d, beta, c + k1 + mu1 + mu2, k2*q2, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, (k1*q1 + k1*q2 + mu1*q2)//q2] │ case = │ (ode = x1'(t) = -x1(t)*x4(t)*beta - x1(t)*d + s │ x2'(t) = x1(t)*x4(t)*beta*q1 - x2(t)*k1 - x2(t)*mu1 │ x3'(t) = x1(t)*x4(t)*beta*q2 + x2(t)*k1 - x3(t)*mu2 │ x4'(t) = x3(t)*k2 - x4(t)*c │ y1(t) = x1(t) │ y2(t) = x4(t) │ , ident_funcs = Nemo.QQMPolyRingElem[s, d, beta, c + k1 + mu1 + mu2, k2*q2, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2], with_states = false) │ simplify = :weak │ R = │ Multivariate polynomial ring in 16 variables x1(t), x2(t), x3(t), x4(t), ..., s │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.01733784 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007933607 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 3.925e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000185098 [ Info: Selecting generators in 0.018253802 [ Info: Inclusion checked with probability 0.995 in 0.012655763 seconds [ Info: The search for identifiable functions concluded in 0.213704923 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[s, d, beta, c + k1 + mu1 + mu2, k2*q2, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, (k1*q1 + k1*q2 + mu1*q2)//q2] │ case = │ (ode = x1'(t) = -x1(t)*x4(t)*beta - x1(t)*d + s │ x2'(t) = x1(t)*x4(t)*beta*q1 - x2(t)*k1 - x2(t)*mu1 │ x3'(t) = x1(t)*x4(t)*beta*q2 + x2(t)*k1 - x3(t)*mu2 │ x4'(t) = x3(t)*k2 - x4(t)*c │ y1(t) = x1(t) │ y2(t) = x4(t) │ , ident_funcs = Nemo.QQMPolyRingElem[s, d, beta, c + k1 + mu1 + mu2, k2*q2, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2], with_states = false) │ simplify = :weak │ R = │ Multivariate polynomial ring in 16 variables x1(t), x2(t), x3(t), x4(t), ..., s │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.015761334 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006899216 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 3.434e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000182178 [ Info: Selecting generators in 0.018787376 [ Info: Inclusion checked with probability 0.995 in 0.013382796 seconds [ Info: The search for identifiable functions concluded in 0.204578938 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[s, d, beta, c + k1 + mu1 + mu2, k2*q2, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, (k1*q1 + k1*q2 + mu1*q2)//q2] │ case = │ (ode = x1'(t) = -x1(t)*x4(t)*beta - x1(t)*d + s │ x2'(t) = x1(t)*x4(t)*beta*q1 - x2(t)*k1 - x2(t)*mu1 │ x3'(t) = x1(t)*x4(t)*beta*q2 + x2(t)*k1 - x3(t)*mu2 │ x4'(t) = x3(t)*k2 - x4(t)*c │ y1(t) = x1(t) │ y2(t) = x4(t) │ , ident_funcs = Nemo.QQMPolyRingElem[s, d, beta, c + k1 + mu1 + mu2, k2*q2, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2], with_states = false) │ simplify = :weak │ R = │ Multivariate polynomial ring in 16 variables x1(t), x2(t), x3(t), x4(t), ..., s │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.016540307 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007016785 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 3.7929e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.26599071 [ Info: Selecting generators in 0.020803628 [ Info: Inclusion checked with probability 0.995 in 0.012051769 seconds [ Info: The search for identifiable functions concluded in 0.470090002 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[s, d, beta, c + k1 + mu1 + mu2, k2*q2, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2] │ case = │ (ode = x1'(t) = -x1(t)*x4(t)*beta - x1(t)*d + s │ x2'(t) = x1(t)*x4(t)*beta*q1 - x2(t)*k1 - x2(t)*mu1 │ x3'(t) = x1(t)*x4(t)*beta*q2 + x2(t)*k1 - x3(t)*mu2 │ x4'(t) = x3(t)*k2 - x4(t)*c │ y1(t) = x1(t) │ y2(t) = x4(t) │ , ident_funcs = Nemo.QQMPolyRingElem[s, d, beta, c + k1 + mu1 + mu2, k2*q2, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2], with_states = false) │ simplify = :standard │ R = │ Multivariate polynomial ring in 16 variables x1(t), x2(t), x3(t), x4(t), ..., s │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y1(t), y2(t), beta, c, d, k1, k2, mu1, mu2, q1, q2, s] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.015028781 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006300462 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 3.348e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.249047106 [ Info: Selecting generators in 0.02598492 [ Info: Inclusion checked with probability 0.995 in 0.012440945 seconds [ Info: The search for identifiable functions concluded in 0.454406497 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[s, d, beta, c + k1 + mu1 + mu2, k2*q2, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2] │ case = │ (ode = x1'(t) = -x1(t)*x4(t)*beta - x1(t)*d + s │ x2'(t) = x1(t)*x4(t)*beta*q1 - x2(t)*k1 - x2(t)*mu1 │ x3'(t) = x1(t)*x4(t)*beta*q2 + x2(t)*k1 - x3(t)*mu2 │ x4'(t) = x3(t)*k2 - x4(t)*c │ y1(t) = x1(t) │ y2(t) = x4(t) │ , ident_funcs = Nemo.QQMPolyRingElem[s, d, beta, c + k1 + mu1 + mu2, k2*q2, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2], with_states = false) │ simplify = :standard │ R = │ Multivariate polynomial ring in 16 variables x1(t), x2(t), x3(t), x4(t), ..., s │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y1(t), y2(t), beta, c, d, k1, k2, mu1, mu2, q1, q2, s] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.017478659 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007249783 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 2.853e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.282963433 [ Info: Selecting generators in 0.026347567 [ Info: Inclusion checked with probability 0.995 in 0.014189769 seconds [ Info: The search for identifiable functions concluded in 0.507438546 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[s, d, beta, c + k1 + mu1 + mu2, k2*q2, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2] │ case = │ (ode = x1'(t) = -x1(t)*x4(t)*beta - x1(t)*d + s │ x2'(t) = x1(t)*x4(t)*beta*q1 - x2(t)*k1 - x2(t)*mu1 │ x3'(t) = x1(t)*x4(t)*beta*q2 + x2(t)*k1 - x3(t)*mu2 │ x4'(t) = x3(t)*k2 - x4(t)*c │ y1(t) = x1(t) │ y2(t) = x4(t) │ , ident_funcs = Nemo.QQMPolyRingElem[s, d, beta, c + k1 + mu1 + mu2, k2*q2, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2], with_states = false) │ simplify = :standard │ R = │ Multivariate polynomial ring in 16 variables x1(t), x2(t), x3(t), x4(t), ..., s │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y1(t), y2(t), beta, c, d, k1, k2, mu1, mu2, q1, q2, s] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.017140762 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007470431 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 3.0669e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.696532846 [ Info: Selecting generators in 0.024300546 [ Info: Inclusion checked with probability 0.995 in 0.013703564 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:00 Points: 293   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.000235048 [ Info: Selecting generators in 0.049560621 [ Info: Inclusion checked with probability 0.995 in 0.034333332 seconds [ Info: The search for identifiable functions concluded in 3.212398304 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[s, d, beta, x4(t), x1(t), c + k1 + mu1 + mu2, k2*q2, x3(t)*k2 - x4(t)*c, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2, (x2(t)*x4(t)*k1 - x3(t)^2*k2 + x3(t)*x4(t)*c - x3(t)*x4(t)*mu2)//(x4(t)*q2)] │ case = │ (ode = x1'(t) = -x1(t)*x4(t)*beta - x1(t)*d + s │ x2'(t) = x1(t)*x4(t)*beta*q1 - x2(t)*k1 - x2(t)*mu1 │ x3'(t) = x1(t)*x4(t)*beta*q2 + x2(t)*k1 - x3(t)*mu2 │ x4'(t) = x3(t)*k2 - x4(t)*c │ y1(t) = x1(t) │ y2(t) = x4(t) │ , ident_funcs = Nemo.QQMPolyRingElem[s, d, beta, x4(t), x1(t), c + k1 + mu1 + mu2, k2*q2, x3(t)*k2 - x4(t)*c, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2, x2(t)*k1*k2 + x3(t)*k1*k2 + x3(t)*k2*mu1 + x4(t)*k1*mu2 + x4(t)*mu1*mu2], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 16 variables x1(t), x2(t), x3(t), x4(t), ..., s │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.014203148 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006192542 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 2.92e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.2345688 [ Info: Selecting generators in 0.017891295 [ Info: Inclusion checked with probability 0.995 in 0.010907929 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:00 Points: 300   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.000240127 [ Info: Selecting generators in 0.057722476 [ Info: Inclusion checked with probability 0.995 in 0.037942349 seconds [ Info: The search for identifiable functions concluded in 1.342825267 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[s, d, beta, x4(t), x1(t), c + k1 + mu1 + mu2, k2*q2, x3(t)*k2 - x4(t)*c, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2, (x2(t)*x4(t)*k1 - x3(t)^2*k2 + x3(t)*x4(t)*c - x3(t)*x4(t)*mu2)//(x4(t)*q2)] │ case = │ (ode = x1'(t) = -x1(t)*x4(t)*beta - x1(t)*d + s │ x2'(t) = x1(t)*x4(t)*beta*q1 - x2(t)*k1 - x2(t)*mu1 │ x3'(t) = x1(t)*x4(t)*beta*q2 + x2(t)*k1 - x3(t)*mu2 │ x4'(t) = x3(t)*k2 - x4(t)*c │ y1(t) = x1(t) │ y2(t) = x4(t) │ , ident_funcs = Nemo.QQMPolyRingElem[s, d, beta, x4(t), x1(t), c + k1 + mu1 + mu2, k2*q2, x3(t)*k2 - x4(t)*c, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2, x2(t)*k1*k2 + x3(t)*k1*k2 + x3(t)*k2*mu1 + x4(t)*k1*mu2 + x4(t)*mu1*mu2], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 16 variables x1(t), x2(t), x3(t), x4(t), ..., s │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.015275018 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006547489 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 3.4109e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.275764499 [ Info: Selecting generators in 0.019578039 [ Info: Inclusion checked with probability 0.995 in 0.011365774 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000276547 [ Info: Selecting generators in 0.053201578 [ Info: Inclusion checked with probability 0.995 in 0.032873706 seconds [ Info: The search for identifiable functions concluded in 2.995621188 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[s, d, beta, x4(t), x1(t), c + k1 + mu1 + mu2, k2*q2, x3(t)*k2 - x4(t)*c, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2, (x2(t)*x4(t)*k1 - x3(t)^2*k2 + x3(t)*x4(t)*c - x3(t)*x4(t)*mu2)//(x4(t)*q2)] │ case = │ (ode = x1'(t) = -x1(t)*x4(t)*beta - x1(t)*d + s │ x2'(t) = x1(t)*x4(t)*beta*q1 - x2(t)*k1 - x2(t)*mu1 │ x3'(t) = x1(t)*x4(t)*beta*q2 + x2(t)*k1 - x3(t)*mu2 │ x4'(t) = x3(t)*k2 - x4(t)*c │ y1(t) = x1(t) │ y2(t) = x4(t) │ , ident_funcs = Nemo.QQMPolyRingElem[s, d, beta, x4(t), x1(t), c + k1 + mu1 + mu2, k2*q2, x3(t)*k2 - x4(t)*c, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2, x2(t)*k1*k2 + x3(t)*k1*k2 + x3(t)*k2*mu1 + x4(t)*k1*mu2 + x4(t)*mu1*mu2], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 16 variables x1(t), x2(t), x3(t), x4(t), ..., s │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.014393177 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006325911 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 3.764e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.232871495 [ Info: Selecting generators in 0.020206523 [ Info: Inclusion checked with probability 0.995 in 0.012617653 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:00 Points: 296   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 3.044810209 [ Info: Selecting generators in 0.062848659 [ Info: Inclusion checked with probability 0.995 in 0.032180502 seconds [ Info: The search for identifiable functions concluded in 5.603772336 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[s, d, beta, x4(t), x1(t), c + k1 + mu1 + mu2, k2*q2, x3(t)*k2 - x4(t)*c, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2, x2(t)*k1*k2 + x3(t)*k1*k2 + x3(t)*k2*mu1 + x4(t)*k1*mu2 + x4(t)*mu1*mu2] │ case = │ (ode = x1'(t) = -x1(t)*x4(t)*beta - x1(t)*d + s │ x2'(t) = x1(t)*x4(t)*beta*q1 - x2(t)*k1 - x2(t)*mu1 │ x3'(t) = x1(t)*x4(t)*beta*q2 + x2(t)*k1 - x3(t)*mu2 │ x4'(t) = x3(t)*k2 - x4(t)*c │ y1(t) = x1(t) │ y2(t) = x4(t) │ , ident_funcs = Nemo.QQMPolyRingElem[s, d, beta, x4(t), x1(t), c + k1 + mu1 + mu2, k2*q2, x3(t)*k2 - x4(t)*c, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2, x2(t)*k1*k2 + x3(t)*k1*k2 + x3(t)*k2*mu1 + x4(t)*k1*mu2 + x4(t)*mu1*mu2], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 16 variables x1(t), x2(t), x3(t), x4(t), ..., s │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y1(t), y2(t), beta, c, d, k1, k2, mu1, mu2, q1, q2, s] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.012385625 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005229022 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 3.176e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.44942474 [ Info: Selecting generators in 0.022821639 [ Info: Inclusion checked with probability 0.995 in 0.012378435 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:00 Points: 310   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 3.272684559 [ Info: Selecting generators in 0.064622532 [ Info: Inclusion checked with probability 0.995 in 0.030644437 seconds [ Info: The search for identifiable functions concluded in 5.810190531 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[s, d, beta, x4(t), x1(t), c + k1 + mu1 + mu2, k2*q2, x3(t)*k2 - x4(t)*c, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2, x2(t)*k1*k2 + x3(t)*k1*k2 + x3(t)*k2*mu1 + x4(t)*k1*mu2 + x4(t)*mu1*mu2] │ case = │ (ode = x1'(t) = -x1(t)*x4(t)*beta - x1(t)*d + s │ x2'(t) = x1(t)*x4(t)*beta*q1 - x2(t)*k1 - x2(t)*mu1 │ x3'(t) = x1(t)*x4(t)*beta*q2 + x2(t)*k1 - x3(t)*mu2 │ x4'(t) = x3(t)*k2 - x4(t)*c │ y1(t) = x1(t) │ y2(t) = x4(t) │ , ident_funcs = Nemo.QQMPolyRingElem[s, d, beta, x4(t), x1(t), c + k1 + mu1 + mu2, k2*q2, x3(t)*k2 - x4(t)*c, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2, x2(t)*k1*k2 + x3(t)*k1*k2 + x3(t)*k2*mu1 + x4(t)*k1*mu2 + x4(t)*mu1*mu2], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 16 variables x1(t), x2(t), x3(t), x4(t), ..., s │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y1(t), y2(t), beta, c, d, k1, k2, mu1, mu2, q1, q2, s] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.013301547 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006122534 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 2.9409e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.21728678 [ Info: Selecting generators in 0.016944773 [ Info: Inclusion checked with probability 0.995 in 0.010041488 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 4.277582788 [ Info: Selecting generators in 0.060221333 [ Info: Inclusion checked with probability 0.995 in 0.029468227 seconds [ Info: The search for identifiable functions concluded in 5.524828148 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[s, d, beta, x4(t), x1(t), c + k1 + mu1 + mu2, k2*q2, x3(t)*k2 - x4(t)*c, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2, x2(t)*k1*k2 + x3(t)*k1*k2 + x3(t)*k2*mu1 + x4(t)*k1*mu2 + x4(t)*mu1*mu2] │ case = │ (ode = x1'(t) = -x1(t)*x4(t)*beta - x1(t)*d + s │ x2'(t) = x1(t)*x4(t)*beta*q1 - x2(t)*k1 - x2(t)*mu1 │ x3'(t) = x1(t)*x4(t)*beta*q2 + x2(t)*k1 - x3(t)*mu2 │ x4'(t) = x3(t)*k2 - x4(t)*c │ y1(t) = x1(t) │ y2(t) = x4(t) │ , ident_funcs = Nemo.QQMPolyRingElem[s, d, beta, x4(t), x1(t), c + k1 + mu1 + mu2, k2*q2, x3(t)*k2 - x4(t)*c, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2, x2(t)*k1*k2 + x3(t)*k1*k2 + x3(t)*k2*mu1 + x4(t)*k1*mu2 + x4(t)*mu1*mu2], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 16 variables x1(t), x2(t), x3(t), x4(t), ..., s │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y1(t), y2(t), beta, c, d, k1, k2, mu1, mu2, q1, q2, s] [ Info: Computing IO-equations [ Info: Computed IO-equations in 1.995008069 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 2.069825066 seconds [ Info: Dimensions of the Wronskians [279] [ Info: Ranks of the Wronskians computed in 0.009370243 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:06 ⌝ # Computing specializations.. Time: 0:00:06 ✓ # Computing specializations.. Time: 0:00:06 ⌜ # Computing specializations.. Time: 0:00:00 ⌝ # Computing specializations.. Time: 0:00:01 ⌟ # Computing specializations.. Time: 0:00:01 ⌞ # Computing specializations.. Time: 0:00:02 ⌜ # Computing specializations.. Time: 0:00:02 ⌝ # Computing specializations.. Time: 0:00:02 ⌟ # Computing specializations.. Time: 0:00:03 ⌞ # Computing specializations.. Time: 0:00:03 ⌜ # Computing specializations.. Time: 0:00:04 ✓ # Computing specializations.. Time: 0:00:04 ⌜ # Computing specializations.. Time: 0:00:00 Points: 2   ⌝ # Computing specializations.. Time: 0:00:01 Points: 3   ⌟ # Computing specializations.. Time: 0:00:01 Points: 4   ⌞ # Computing specializations.. Time: 0:00:02 Points: 5   ⌜ # Computing specializations.. Time: 0:00:02 Points: 6   ⌝ # Computing specializations.. 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Time: 0:00:06 ⌜ # Computing specializations.. Time: 0:00:00 ⌝ # Computing specializations.. Time: 0:00:01 ⌟ # Computing specializations.. Time: 0:00:01 ⌞ # Computing specializations.. Time: 0:00:02 ⌜ # Computing specializations.. Time: 0:00:02 ⌝ # Computing specializations.. Time: 0:00:03 ⌟ # Computing specializations.. Time: 0:00:03 ⌞ # Computing specializations.. Time: 0:00:04 ⌜ # Computing specializations.. Time: 0:00:04 ⌝ # Computing specializations.. Time: 0:00:05 ⌟ # Computing specializations.. Time: 0:00:06 ⌞ # Computing specializations.. Time: 0:00:06 ⌜ # Computing specializations.. Time: 0:00:07 ⌝ # Computing specializations.. Time: 0:00:07 ✓ # Computing specializations.. Time: 0:00:07 ⌜ # Computing specializations.. Time: 0:00:00 Points: 2   ⌝ # Computing specializations.. Time: 0:00:01 Points: 4   ⌟ # Computing specializations.. Time: 0:00:02 Points: 5   ⌞ # Computing specializations.. Time: 0:00:02 Points: 7   ⌜ # Computing specializations.. 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Time: 0:02:09 [ Info: Search for polynomial generators concluded in 0.000267127 [ Info: Selecting generators in 0.026677422 [ Info: Inclusion checked with probability 0.995 in 67.967192277 seconds [ Info: The search for identifiable functions concluded in 410.965872096 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[r1, d + r3, a + h + r2 + s, a*h + a*r2 + h*s + r2*s, (d*h*s)//(a*c1 + c2*s), (a*c1*h + a*c1*r2 + c2*r1*s)//(a*c1 + c2*s)] │ case = │ (ode = A'(t) = -A(t)*r1 + E(t)*a │ I'(t) = -I(t)*h - I(t)*r2 + E(t)*s │ H'(t) = I(t)*h - H(t)*d - H(t)*r3 │ R'(t) = A(t)*r1 + I(t)*r2 + H(t)*r3 │ D'(t) = H(t)*d │ E'(t) = -A(t)^2*c1 - A(t)*I(t)*c1 - A(t)*I(t)*c2 - A(t)*H(t)*c1 - A(t)*R(t)*c1 - A(t)*D(t)*c1 - A(t)*E(t)*c1 + A(t)*N*c1 - I(t)^2*c2 - I(t)*H(t)*c2 - I(t)*R(t)*c2 - I(t)*D(t)*c2 - I(t)*E(t)*c2 + I(t)*N*c2 - E(t)*a - E(t)*s │ y(t) = D(t) │ , ident_funcs = AbstractAlgebra.RingElem[r1, d + r3, a + h + r2 + s, a*h + a*r2 + h*s + r2*s, (d*h*s)//(a*c1 + c2*s), (a*c1*h + a*c1*r2 + c2*r1*s)//(a*c1 + c2*s)], with_states = false) │ simplify = :weak │ R = │ Multivariate polynomial ring in 17 variables A(t), I(t), H(t), R(t), ..., s │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 1.306718408 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 1.474258609 seconds [ Info: Dimensions of the Wronskians [279] [ Info: Ranks of the Wronskians computed in 0.009792809 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:06 ✓ # Computing specializations.. Time: 0:00:06 ⌜ # Computing specializations.. Time: 0:00:01 ⌝ # Computing specializations.. Time: 0:00:02 ⌟ # Computing specializations.. Time: 0:00:02 ⌞ # Computing specializations.. Time: 0:00:03 ⌜ # Computing specializations.. Time: 0:00:03 ⌝ # Computing specializations.. Time: 0:00:04 ⌟ # Computing specializations.. Time: 0:00:04 ✓ # Computing specializations.. Time: 0:00:04 ⌜ # Computing specializations.. Time: 0:00:00 Points: 2   ⌝ # Computing specializations.. Time: 0:00:01 Points: 3   ⌟ # Computing specializations.. Time: 0:00:01 Points: 4   ⌞ # Computing specializations.. Time: 0:00:01 Points: 5   ⌜ # Computing specializations.. Time: 0:00:02 Points: 6   ⌝ # Computing specializations.. Time: 0:00:02 Points: 7   ⌟ # Computing specializations.. Time: 0:00:03 Points: 9   ⌞ # Computing specializations.. Time: 0:00:04 Points: 11   ⌜ # Computing specializations.. 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Time: 0:00:25 Points: 72   ⌟ # Computing specializations.. Time: 0:00:26 Points: 73   ⌞ # Computing specializations.. Time: 0:00:27 Points: 75   ⌜ # Computing specializations.. Time: 0:00:27 Points: 76   ⌝ # Computing specializations.. Time: 0:00:27 Points: 78   ⌟ # Computing specializations.. Time: 0:00:28 Points: 79   ⌞ # Computing specializations.. Time: 0:00:28 Points: 80   ⌜ # Computing specializations.. Time: 0:00:29 Points: 82  ====================================================================================== Information request received. A stacktrace will print followed by a 1.0 second profile. --trace-compile is enabled during profile collection. ====================================================================================== cmd: /opt/julia/bin/julia 37 running 1 of 1 signal (10): User defined signal 1 ws_queue_pop at /source/src/work-stealing-queue.h:79:17 [inlined] gc_ptr_queue_pop at /source/src/gc-stock.c:1659:5 [inlined] gc_mark_and_steal at /source/src/gc-stock.c:2589:19 _jl_gc_collect at /source/src/gc-stock.c:3181:9 ijl_gc_collect at /source/src/gc-stock.c:3561:13 maybe_collect at /source/src/gc-stock.c:357:9 [inlined] jl_gc_small_alloc_inner at /source/src/gc-stock.c:734:5 jl_gc_small_alloc_noinline at /source/src/gc-stock.c:792:12 [inlined] jl_gc_alloc_ at /source/src/gc-stock.c:806:13 jl_alloc_genericmemory_unchecked at /source/src/genericmemory.c:41:30 GenericMemory at ./boot.jl:659:0 [inlined] Array at ./boot.jl:719:0 [inlined] _array_for_inner at ./array.jl:705:0 [inlined] collect at ./array.jl:838:0 (pc: 183) map at ./abstractarray.jl:3498:0 [inlined] io_extract_coeffs_ir_ff at /home/pkgeval/.julia/packages/Groebner/Q7HGS/src/input_output/AbstractAlgebra.jl:120:0 [inlined] io_extract_coeffs_ir at /home/pkgeval/.julia/packages/Groebner/Q7HGS/src/input_output/AbstractAlgebra.jl:100:0 (pc: 72) unknown function (ip: 0x7ca857192b34) at (unknown file) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 io_convert_polynomials_to_ir at /home/pkgeval/.julia/packages/Groebner/Q7HGS/src/input_output/AbstractAlgebra.jl:16:0 (pc: 33) groebner_apply0! at /home/pkgeval/.julia/packages/Groebner/Q7HGS/src/groebner/learn_apply.jl:128:0 (pc: 1) #groebner_apply!#206 at /home/pkgeval/.julia/packages/Groebner/Q7HGS/src/interface.jl:403:0 [inlined] groebner_apply! at /home/pkgeval/.julia/packages/Groebner/Q7HGS/src/interface.jl:401:0 (pc: 2) unknown function (ip: 0x7ca8571c0e9a) at (unknown file) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 interpolate_exponents! at /home/pkgeval/.julia/packages/ParamPunPam/nx0fr/src/groebner/paramgb.jl:459:0 (pc: 1345) _paramgb at /home/pkgeval/.julia/packages/ParamPunPam/nx0fr/src/groebner/paramgb.jl:166:0 (pc: 19) #paramgb#63 at /home/pkgeval/.julia/packages/ParamPunPam/nx0fr/src/groebner/paramgb.jl:108:0 (pc: 518) paramgb at /home/pkgeval/.julia/packages/ParamPunPam/nx0fr/src/groebner/paramgb.jl:65:0 [inlined] #groebner_basis_coeffs#135 at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/simplification.jl:147:0 (pc: 452) groebner_basis_coeffs at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/simplification.jl:147:0 (pc: 11) unknown function (ip: 0x7ca8570d2091) at (unknown file) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 #simplified_generating_set#137 at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/simplification.jl:319:0 (pc: 181) simplified_generating_set at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/simplification.jl:319:0 (pc: 19) unknown function (ip: 0x7ca85651c384) at (unknown file) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 #_find_identifiable_functions#257 at /home/pkgeval/.julia/packages/StructuralIdentifiability/mw5Vw/src/identifiable_functions.jl:119:0 (pc: 80) _find_identifiable_functions at /home/pkgeval/.julia/packages/StructuralIdentifiability/mw5Vw/src/identifiable_functions.jl:85:0 [inlined] #255 at /home/pkgeval/.julia/packages/StructuralIdentifiability/mw5Vw/src/identifiable_functions.jl:62:0 (pc: 12) with_logstate at ./logging/logging.jl:542:0 (pc: 47) with_logger at ./logging/logging.jl:653:0 [inlined] #find_identifiable_functions#253 at /home/pkgeval/.julia/packages/StructuralIdentifiability/mw5Vw/src/identifiable_functions.jl:60:0 [inlined] find_identifiable_functions at /home/pkgeval/.julia/packages/StructuralIdentifiability/mw5Vw/src/identifiable_functions.jl:48:0 (pc: 25) unknown function (ip: 0x7ca85651b7b0) at (unknown file) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 jl_apply at /source/src/julia.h:2405:12 [inlined] do_call at /source/src/interpreter.c:123:26 eval_value at /source/src/interpreter.c:259:16 eval_body at /source/src/interpreter.c:645:35 eval_body at /source/src/interpreter.c:614:21 eval_body at /source/src/interpreter.c:622:21 eval_body at /source/src/interpreter.c:622:21 eval_body at /source/src/interpreter.c:622:21 jl_interpret_toplevel_thunk at /source/src/interpreter.c:947:21 ijl_eval_thunk at /source/src/toplevel.c:764:18 jl_toplevel_eval_flex at /source/src/toplevel.c:708:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:598:15 jl_toplevel_eval_flex at /source/src/toplevel.c:680:27 ijl_toplevel_eval at /source/src/toplevel.c:778:12 ijl_toplevel_eval_in at /source/src/toplevel.c:823:13 eval at ./boot.jl:522:0 (pc: 1) include_string at ./loading.jl:3132:0 (pc: 208) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 _include at ./loading.jl:3192:0 (pc: 122) include at ./Base.jl:326:0 (pc: 1) IncludeInto at ./Base.jl:327:0 (pc: 2) unknown function (ip: 0x7ca895b6cf22) at (unknown file) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 jl_apply at /source/src/julia.h:2405:12 [inlined] do_call at /source/src/interpreter.c:123:26 eval_value at /source/src/interpreter.c:259:16 eval_stmt_value at /source/src/interpreter.c:194:23 [inlined] eval_body at /source/src/interpreter.c:757:13 eval_body at /source/src/interpreter.c:614:21 eval_body at /source/src/interpreter.c:622:21 eval_body at /source/src/interpreter.c:622:21 eval_body at /source/src/interpreter.c:622:21 jl_interpret_toplevel_thunk at /source/src/interpreter.c:947:21 ijl_eval_thunk at /source/src/toplevel.c:764:18 jl_toplevel_eval_flex at /source/src/toplevel.c:708:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:598:15 jl_eval_module_expr at /source/src/toplevel.c:262:5 [inlined] jl_toplevel_eval_flex at /source/src/toplevel.c:661:27 ijl_toplevel_eval at /source/src/toplevel.c:778:12 ijl_toplevel_eval_in at /source/src/toplevel.c:823:13 eval at ./boot.jl:522:0 (pc: 1) jfptr_eval_0.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 jl_apply at /source/src/julia.h:2405:12 [inlined] do_call at /source/src/interpreter.c:123:26 eval_value at /source/src/interpreter.c:259:16 eval_stmt_value at /source/src/interpreter.c:194:23 [inlined] eval_body at /source/src/interpreter.c:757:13 jl_interpret_toplevel_thunk at /source/src/interpreter.c:947:21 ijl_eval_thunk at /source/src/toplevel.c:764:18 jl_toplevel_eval_flex at /source/src/toplevel.c:708:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:598:15 jl_toplevel_eval_flex at /source/src/toplevel.c:680:27 ijl_toplevel_eval at /source/src/toplevel.c:778:12 ijl_toplevel_eval_in at /source/src/toplevel.c:823:13 eval at ./boot.jl:522:0 (pc: 1) include_string at ./loading.jl:3132:0 (pc: 208) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 _include at ./loading.jl:3192:0 (pc: 122) include at ./Base.jl:326:0 (pc: 1) IncludeInto at ./Base.jl:327:0 (pc: 2) unknown function (ip: 0x7ca895b6cf22) at (unknown file) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 jl_apply at /source/src/julia.h:2405:12 [inlined] do_call at /source/src/interpreter.c:123:26 eval_value at /source/src/interpreter.c:259:16 eval_stmt_value at /source/src/interpreter.c:194:23 [inlined] eval_body at /source/src/interpreter.c:757:13 eval_body at /source/src/interpreter.c:614:21 eval_body at /source/src/interpreter.c:622:21 eval_body at /source/src/interpreter.c:622:21 eval_body at /source/src/interpreter.c:622:21 jl_interpret_toplevel_thunk at /source/src/interpreter.c:947:21 ijl_eval_thunk at /source/src/toplevel.c:764:18 jl_toplevel_eval_flex at /source/src/toplevel.c:708:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:598:15 jl_eval_module_expr at /source/src/toplevel.c:262:5 [inlined] jl_toplevel_eval_flex at /source/src/toplevel.c:661:27 ijl_toplevel_eval at /source/src/toplevel.c:778:12 ijl_toplevel_eval_in at /source/src/toplevel.c:823:13 eval at ./boot.jl:522:0 (pc: 1) jfptr_eval_0.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 jl_apply at /source/src/julia.h:2405:12 [inlined] do_call at /source/src/interpreter.c:123:26 eval_value at /source/src/interpreter.c:259:16 eval_stmt_value at /source/src/interpreter.c:194:23 [inlined] eval_body at /source/src/interpreter.c:757:13 jl_interpret_toplevel_thunk at /source/src/interpreter.c:947:21 ijl_eval_thunk at /source/src/toplevel.c:764:18 jl_toplevel_eval_flex at /source/src/toplevel.c:708:26 ijl_toplevel_eval at /source/src/toplevel.c:778:12 ijl_toplevel_eval_in at /source/src/toplevel.c:823:13 eval at ./boot.jl:522:0 (pc: 1) #_run_body#22 at /home/pkgeval/.julia/packages/SciMLTesting/FF1RX/src/SciMLTesting.jl:960:0 (pc: 7) _run_body at /home/pkgeval/.julia/packages/SciMLTesting/FF1RX/src/SciMLTesting.jl:944:0 [inlined] _run_core_folder at /home/pkgeval/.julia/packages/SciMLTesting/FF1RX/src/SciMLTesting.jl:1021:0 (pc: 50) _run_folder_group at /home/pkgeval/.julia/packages/SciMLTesting/FF1RX/src/SciMLTesting.jl:1061:0 (pc: 3) #run_tests#23 at /home/pkgeval/.julia/packages/SciMLTesting/FF1RX/src/SciMLTesting.jl:1337:0 (pc: 19) run_tests at /home/pkgeval/.julia/packages/SciMLTesting/FF1RX/src/SciMLTesting.jl:1312:0 (pc: 9) unknown function (ip: 0x7ca895b00b1f) at (unknown file) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 jl_apply at /source/src/julia.h:2405:12 [inlined] do_call at /source/src/interpreter.c:123:26 eval_value at /source/src/interpreter.c:259:16 eval_stmt_value at /source/src/interpreter.c:194:23 [inlined] eval_body at /source/src/interpreter.c:757:13 jl_interpret_toplevel_thunk at /source/src/interpreter.c:947:21 ijl_eval_thunk at /source/src/toplevel.c:764:18 jl_toplevel_eval_flex at /source/src/toplevel.c:708:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:598:15 jl_toplevel_eval_flex at /source/src/toplevel.c:680:27 ijl_toplevel_eval at /source/src/toplevel.c:778:12 ijl_toplevel_eval_in at /source/src/toplevel.c:823:13 eval at ./boot.jl:522:0 (pc: 1) include_string at ./loading.jl:3132:0 (pc: 208) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 _include at ./loading.jl:3192:0 (pc: 122) include at ./Base.jl:326:0 (pc: 1) IncludeInto at ./Base.jl:327:0 (pc: 2) jfptr_IncludeInto_1.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 jl_apply at /source/src/julia.h:2405:12 [inlined] do_call at /source/src/interpreter.c:123:26 eval_value at /source/src/interpreter.c:259:16 eval_stmt_value at /source/src/interpreter.c:194:23 [inlined] eval_body at /source/src/interpreter.c:757:13 jl_interpret_toplevel_thunk at /source/src/interpreter.c:947:21 ijl_eval_thunk at /source/src/toplevel.c:764:18 jl_toplevel_eval_flex at /source/src/toplevel.c:708:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:598:15 jl_toplevel_eval_flex at /source/src/toplevel.c:680:27 ijl_toplevel_eval at /source/src/toplevel.c:778:12 ijl_toplevel_eval_in at /source/src/toplevel.c:823:13 eval at ./boot.jl:522:0 (pc: 1) exec_options at ./client.jl:321:0 (pc: 426) _start at ./client.jl:596:0 (pc: 295) jfptr__start_0.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 jl_apply at /source/src/julia.h:2405:12 [inlined] true_main at /source/src/jlapi.c:985:29 jl_repl_entrypoint at /source/src/jlapi.c:1152:15 main at /source/cli/loader_exe.c:58:15 unknown function (ip: 0x7ca8b3843249) at /lib/x86_64-linux-gnu/libc.so.6 __libc_start_main at /lib/x86_64-linux-gnu/libc.so.6 (unknown line) unknown function (ip: 0x4010b8) at /workspace/srcdir/glibc-2.17/csu/../sysdeps/x86_64/start.S unknown function (ip: (nil)) at (unknown file)  ⌝ # Computing specializations.. Time: 0:00:30 Points: 84  ============================================================== Profile collected. A report will print at the next yield point. Disabling --trace-compile ==============================================================  ⌟ # Computing specializations.. Time: 0:00:31┌ Warning: There were no samples collected in one or more groups. │ This may be due to idle threads, or you may need to run your │ program longer (perhaps by running it multiple times), │ or adjust the delay between samples with `Profile.init()`. └ @ Profile /opt/julia/share/julia/stdlib/v1.14/Profile/src/Profile.jl:1361 Overhead ╎ [+additional indent] Count File:Line Function ========================================================= Thread 1 (default) Task 0x00007ca8989fc010 Total snapshots: 228. Utilization: 100% ╎228 @Base/client.jl:596 _start() ╎ 228 @Base/client.jl:321 exec_options(opts::Base.JLOptions) ╎ 228 @Base/boot.jl:522 eval(m::Module, e::Any) ╎ 228 @Base/Base.jl:327 (::Base.IncludeInto)(fname::String) ╎ 228 @Base/Base.jl:326 include(mapexpr::Function, mod::Module, _path::St… ╎ 228 @Base/loading.jl:3192 _include(mapexpr::Function, mod::Module, _pa… ╎ ╎ 228 @Base/loading.jl:3132 include_string(mapexpr::typeof(identity), m… ╎ ╎ 228 @Base/boot.jl:522 eval(m::Module, e::Any) ╎ ╎ 228 @SciMLTesting/…ng.jl:1312 run_tests() ╎ ╎ 228 @SciMLTesting/…ng.jl:1337 run_tests(; core::SciMLTesting._Unse… ╎ ╎ 228 @SciMLTesting/…g.jl:1061 _run_folder_group(group::String, tes… ╎ ╎ ╎ 228 @SciMLTesting/…g.jl:1021 _run_core_folder(test_dir::String) ╎ ╎ ╎ 228 @SciMLTesting/…g.jl:944 kwcall(::@NamedTuple{label::String}… ╎ ╎ ╎ 228 @SciMLTesting/….jl:960 _run_body(body::String; label::Stri… ╎ ╎ ╎ 228 @Base/boot.jl:522 eval(m::Module, e::Any) ╎ ╎ ╎ 228 @Base/boot.jl:522 eval(m::Module, e::Any) ╎ ╎ ╎ ╎ 228 @Base/Base.jl:327 (::Base.IncludeInto)(fname::String) ╎ ╎ ╎ ╎ 228 @Base/Base.jl:326 include(mapexpr::Function, mod::Modu… ╎ ╎ ╎ ╎ 228 @Base/loading.jl:3192 _include(mapexpr::Function, mod… ╎ ╎ ╎ ╎ 228 @Base/loading.jl:3132 include_string(mapexpr::typeof… ╎ ╎ ╎ ╎ 228 @Base/boot.jl:522 eval(m::Module, e::Any) ╎ ╎ ╎ ╎ ╎ 228 @Base/boot.jl:522 eval(m::Module, e::Any) ╎ ╎ ╎ ╎ ╎ 228 @Base/Base.jl:327 (::Base.IncludeInto)(fname::Str… ╎ ╎ ╎ ╎ ╎ 228 @Base/Base.jl:326 include(mapexpr::Function, mod… ╎ ╎ ╎ ╎ ╎ 228 @Base/…ding.jl:3192 _include(mapexpr::Function,… ╎ ╎ ╎ ╎ ╎ 228 @Base/…ing.jl:3132 include_string(mapexpr::typ… ╎ ╎ ╎ ╎ ╎ ╎ 228 @Base/boot.jl:522 eval(m::Module, e::Any) ╎ ╎ ╎ ╎ ╎ ╎ 228 @StructuralIdentifiability/…:48 kwcall(::@Na… ╎ ╎ ╎ ╎ ╎ ╎ 228 @StructuralIdentifiability/…:60 find_identi… ╎ ╎ ╎ ╎ ╎ ╎ 228 @Base/…ng.jl:653 with_logger(f::Structural… ╎ ╎ ╎ ╎ ╎ ╎ 228 @Base/…ng.jl:542 with_logstate(f::Structu… ╎ ╎ ╎ ╎ ╎ ╎ ╎ 228 @StructuralIdentifiability/…:62 (::Struc… ╎ ╎ ╎ ╎ ╎ ╎ ╎ 228 @StructuralIdentifiability/…:85 kwcall(… ╎ ╎ ╎ ╎ ╎ ╎ ╎ 228 @StructuralIdentifiability/…:119 _find… ╎ ╎ ╎ ╎ ╎ ╎ ╎ 228 @RationalFunctionFields/…:319 kwcall(… ╎ ╎ ╎ ╎ ╎ ╎ ╎ 228 @RationalFunctionFields/…:319 simpli… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ 228 @RationalFunctionFields/…:147 kwcal… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ 228 @RationalFunctionFields/…:147 groe… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ 228 @ParamPunPam/…:65 kwcall(::@Named… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ 228 @ParamPunPam/…:108 paramgb(black… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ 228 @ParamPunPam/…:166 _paramgb(bla… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +1 39 @ParamPunPam/…:458 interpolate_… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +2 39 @RationalFunctionFields/…:312 s… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +3 35 @RationalFunctionFields/…:277 f… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +4 35 @Base/…ay.jl:3468 map(f::Ration… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +5 35 @Base/…ay.jl:768 collect_simila… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +6 35 @Base/…ay.jl:863 _collect(c::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +7 35 @Base/…ay.jl:869 collect_to_wit… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +8 35 @Base/…ay.jl:914 collect_to!(de… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 35 @Base/…or.jl:48 iterate(g::Base… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 35 @RationalFunctionFields/…:277 (… 35╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 35 @Nemo/…ly.jl:550 evaluate(a::Ne… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +3 1 @RationalFunctionFields/…:278 f… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +4 1 @Base/…ay.jl:3468 map(f::Ration… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +5 1 @Base/…ay.jl:768 collect_simila… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +6 1 @Base/…ay.jl:863 _collect(c::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +7 1 @Base/…ay.jl:869 collect_to_wit… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +8 1 @Base/…ay.jl:914 collect_to!(de… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 1 @Base/…or.jl:48 iterate(g::Base… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 1 @RationalFunctionFields/…:278 (… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Nemo/…ly.jl:550 evaluate(a::Ne… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +3 3 @RationalFunctionFields/…:283 f… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +4 1 @Nemo/…ly.jl:315 *(a::Nemo.fpMP… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +5 1 @Nemo/…ly.jl:309 *(a::Nemo.fpMP… 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +4 2 @Nemo/…ly.jl:253 -(a::Nemo.fpMP… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +1 188 @ParamPunPam/…:459 interpolate_… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +2 188 @Groebner/…l:401 groebner_apply… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +3 188 @Groebner/…l:403 groebner_apply… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +4 119 @Groebner/…l:128 groebner_apply… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +5 119 @Groebner/…l:16 io_convert_poly… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +6 93 @Groebner/…l:100 io_extract_coe… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +7 93 @Groebner/…l:120 io_extract_coe… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +8 93 @Base/…ay.jl:3498 map(f::typeof… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 1 @Base/…ay.jl:833 collect(itr::B… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 1 @Base/…or.jl:48 iterate(::Base.… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Groebner/…l:108 io_lift_coeff_… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Nemo/…em.jl:44 lift(::Nemo.ZZR… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Nemo/…em.jl:43 lift(a::Nemo.fp… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Nemo/…es.jl:73 Nemo.ZZRingElem… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/…ls.jl:86 finalizer(f::ty… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 33 @Base/…ay.jl:838 collect(itr::B… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 33 @Base/…ay.jl:705 _array_for_inn… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 33 @Base/…ot.jl:719 Vector{UInt64}… 14╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 33 @Base/…ot.jl:659 Memory{UInt64}… 17╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 17 @Nemo/…es.jl:5139 _fmpz_clear_f… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Nemo/…es.jl:5279 _nmod_mpoly_c… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 59 @Base/…ay.jl:843 collect(itr::B… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 59 @Base/…ay.jl:869 collect_to_wit… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 58 @Base/…ay.jl:914 collect_to!(de… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 6 @Base/…or.jl:45 iterate(g::Base… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 6 @AbstractAlgebra/…:851 iterate(… 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 2 @Nemo/…ly.jl:114 coeff(a::Nemo.… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Nemo/…ly.jl:115 coeff(a::Nemo.… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Nemo/…ly.jl:80 length(a::Nemo.… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 1 @Base/…er.jl:58 getproperty(x::… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 2 @Nemo/…ly.jl:118 coeff(a::Nemo.… 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 2 @Nemo/…em.jl:432 (::Nemo.fpFiel… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 52 @Base/…or.jl:48 iterate(g::Base… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 52 @Groebner/…l:108 io_lift_coeff_… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Nemo/…pz.jl:3260 UInt64(a::Nem… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Nemo/…pz.jl:286 fits(::Type{UI… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 14 @Nemo/…pz.jl:3261 UInt64(a::Nem… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 14 @Nemo/…pz.jl:520 rem(x::Nemo.ZZ… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 14 @Base/gmp.jl:351 rem(x::BigInt,… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +17 14 @Base/…er.jl:255 flipsign(x::UI… 14╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +18 14 @Base/int.jl:85 -(x::UInt64) ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 37 @Nemo/…em.jl:44 lift(::Nemo.ZZR… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 37 @Nemo/…em.jl:43 lift(a::Nemo.fp… 4╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 4 @Nemo/…es.jl:71 Nemo.ZZRingElem… 32╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 32 @Nemo/…es.jl:72 Nemo.ZZRingElem… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 1 @Nemo/…es.jl:73 Nemo.ZZRingElem… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +17 1 @Base/…ls.jl:86 finalizer(f::ty… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Base/…ay.jl:918 collect_to!(de… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Base/…ay.jl:1048 setindex!(A::… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/…ay.jl:1053 _setindex!(A:… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +6 26 @Groebner/…l:173 io_extract_mon… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +7 26 @Base/…ay.jl:764 collect(itr::A… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +8 26 @Base/…ay.jl:770 _collect(cont:… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 1 @Base/…ay.jl:947 copyto!(dest::… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 1 @Base/…ay.jl:1048 setindex!(A::… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Base/…ay.jl:1053 _setindex!(A:… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 1 @Base/…ay.jl:948 copyto!(dest::… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 1 @Base/…ge.jl:928 iterate(r::Bas… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Base/…on.jl:658 ==(x::Int64, y… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 23 @Base/…ay.jl:949 copyto!(dest::… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 23 @AbstractAlgebra/…:861 iterate(… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 12 @Nemo/…ly.jl:39 exponent_vector… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 2 @Nemo/…ly.jl:26 parent(a::Nemo.… 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 2 @Base/…er.jl:58 getproperty(x::… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 8 @Base/…ay.jl:838 collect(itr::B… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 8 @Base/…ay.jl:706 _array_for_inn… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 8 @Base/…ay.jl:872 similar(::Type… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 8 @Base/…ay.jl:414 similar(::Type… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 8 @Base/…ay.jl:873 similar(::Type… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +17 8 @Base/…ot.jl:740 (Array{Int64})… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +18 8 @Base/…ot.jl:732 Vector{Int64}(… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +19 5 @Base/…ot.jl:719 Vector{Int64}(… 5╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +20 5 @Base/…ot.jl:659 Memory{Int64}(… 3╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +19 3 @Base/…ot.jl:720 Vector{Int64}(… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 2 @Base/…ay.jl:843 collect(itr::B… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 2 @Base/…ay.jl:869 collect_to_wit… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/…ay.jl:914 collect_to!(de… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/…or.jl:45 iterate(g::Base… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 1 @Base/…ge.jl:928 iterate(r::Uni… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +17 1 @Base/…on.jl:658 ==(x::Int64, y… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/…ay.jl:915 collect_to!(de… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 10 @Nemo/…ly.jl:40 exponent_vector… 9╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 9 @Nemo/…ly.jl:740 exponent_vecto… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 1 @Base/…ay.jl:698 _similar_for(c… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 1 @Base/…ay.jl:823 similar(a::Uni… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Base/…ay.jl:834 similar(a::Uni… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Base/…ot.jl:732 Vector{Vector{… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/…ot.jl:720 Vector{Vector{… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +4 69 @Groebner/…l:129 groebner_apply… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +5 12 @Groebner/…l:218 __groebner_app… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +6 12 @Groebner/…l:61 wrapped_trace_c… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +7 1 @Base/…ls.jl:1039 getindex(A::V… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +8 1 @Base/…ls.jl:391 checkbounds(A:… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +7 1 @Base/…ls.jl:1040 getindex(A::V… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +7 10 @Base/…rs.jl:320 !=(x::Vector{U… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +8 3 @Base/…ay.jl:3127 ==(A::Vector{… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 2 @Base/…rs.jl:320 !=(x::Tuple{Ba… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 2 @Base/…le.jl:544 ==(t1::Tuple{B… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 2 @Base/…le.jl:548 _eq(t1::Tuple{… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 2 @Base/…ge.jl:1145 ==(r::Base.On… 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 2 @Base/…on.jl:658 ==(x::Int64, y… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +8 3 @Base/…ay.jl:3131 ==(A::Vector{… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 3 @Base/…rs.jl:429 iterate(z::Bas… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 3 @Base/…rs.jl:439 _zip_iterate_a… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 2 @Base/…rs.jl:447 _zip_iterate_s… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 2 @Base/…ay.jl:1242 iterate(A::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 2 @Base/…ay.jl:1242 iterate(A::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 2 @Base/…ay.jl:1250 _iterate_abst… 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 2 @Base/…ls.jl:1040 getindex(A::V… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Base/…rs.jl:449 _zip_iterate_s… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Base/…rs.jl:447 _zip_iterate_s… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/…ay.jl:1242 iterate(A::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/…ay.jl:1242 iterate(A::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/…ay.jl:1250 _iterate_abst… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 1 @Base/…ls.jl:1040 getindex(A::V… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +8 4 @Base/…ay.jl:3138 ==(A::Vector{… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 4 @Base/…rs.jl:430 iterate(z::Bas… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 4 @Base/…rs.jl:439 _zip_iterate_a… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 3 @Base/…rs.jl:447 _zip_iterate_s… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 3 @Base/…ay.jl:1242 iterate(A::Ve… 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 3 @Base/…ay.jl:1249 _iterate_abst… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/…ls.jl:387 checkbounds(::… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Base/…rs.jl:449 _zip_iterate_s… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Base/…rs.jl:447 _zip_iterate_s… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/…ay.jl:1242 iterate(A::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/…ay.jl:1250 _iterate_abst… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/…ls.jl:1040 getindex(A::V… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +5 55 @Groebner/…l:234 __groebner_app… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +6 3 @Groebner/…l:212 ir_extract_coe… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +7 2 @Base/…ls.jl:1039 getindex(A::V… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +8 2 @Base/…ls.jl:391 checkbounds(A:… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 1 @Base/…ls.jl:387 checkbounds(::… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +7 1 @Base/…ls.jl:1040 getindex(A::V… 47╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +6 52 @Groebner/…l:213 ir_extract_coe… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +7 1 @Base/…er.jl:6 convert(::Type{U… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +7 4 @Base/…ay.jl:1048 setindex!(A::… 4╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +8 4 @Base/…ay.jl:1053 _setindex!(A:… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +5 2 @Groebner/…l:237 __groebner_app… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +6 2 @Groebner/…l:253 groebner_apply… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +7 2 @Groebner/…l:266 _groebner_appl… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +8 2 @Groebner/…l:479 f4_apply!(trac… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 1 @Groebner/…l:397 basis_make_mon… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 1 @Groebner/…l:122 mod_p(a::UInt1… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Groebner/…l:106 _mul_high(a::U… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Base/int.jl:1043 *(x::UInt128,… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 1 @Groebner/…l:247 f4_reduction_a… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 1 @Groebner/…l:23 kwcall(::@Named… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Groebner/…l:40 linalg_main!(ma… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Groebner/…l:193 _linalg_main_w… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Groebner/…l:44 linalg_apply_sp… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Groebner/…l:183 linalg_apply_i… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Groebner/…l:190 linalg_apply_i… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 1 @Groebner/…l:127 kwcall(::@Name… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +17 1 @Groebner/…l:170 linalg_interre… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +18 1 @Groebner/…l:369 kwcall(::@Name… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +19 1 @Groebner/…l:369 kwcall(::@Name… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +20 1 @Groebner/…l:426 linalg_reduce_… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +21 1 @Base/…ay.jl:1568 resize!(a::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +22 1 @Base/…ay.jl:1233 _growend!(a::… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +23 1 @Base/…ay.jl:1208 _growend_inte… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +24 1 @Base/…ay.jl:1124 overallocatio… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +25 1 @Base/…ls.jl:1227 -(x::Int64, y… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +1 1 @ParamPunPam/…:460 interpolate_… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +2 1 @ProgressMeter/…:499 kwcall(::@… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +3 1 @ProgressMeter/…:500 update!(p:… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +4 1 @ProgressMeter/…:470 lock_if_th… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +5 1 @ProgressMeter/…:503 (::Progres… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +6 1 @ProgressMeter/…:211 kwcall(::@… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +7 1 @ProgressMeter/…:213 updateProg… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +8 1 @ProgressMeter/…:378 kwcall(::@… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 1 @ProgressMeter/…:437 _updatePro… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 1 @Base/…io.jl:239 print(io::Base… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Base/…io.jl:237 write(io::Base… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Base/…am.jl:1152 unsafe_write(… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/…am.jl:1067 uv_write(s::B… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/…am.jl:1112 uv_write_asyn… Points: 85   ⌞ # Computing specializations.. Time: 0:00:45 Points: 105   ⌜ # Computing specializations.. Time: 0:00:46 Points: 107   ⌝ # Computing specializations.. Time: 0:00:47 Points: 109   ⌟ # Computing specializations.. Time: 0:00:48 Points: 111   ⌞ # Computing specializations.. Time: 0:00:48 Points: 113   ⌜ # Computing specializations.. Time: 0:00:49 Points: 115   ⌝ # Computing specializations.. Time: 0:00:50 Points: 117   ⌟ # Computing specializations.. Time: 0:00:50 Points: 118   ⌞ # Computing specializations.. Time: 0:00:51 Points: 120   ⌜ # Computing specializations.. Time: 0:00:51 Points: 121   ⌝ # Computing specializations.. Time: 0:00:51 Points: 122   ⌟ # Computing specializations.. Time: 0:00:52 Points: 124   ⌞ # Computing specializations.. Time: 0:00:53 Points: 126   ⌜ # Computing specializations.. Time: 0:00:53 Points: 127   ⌝ # Computing specializations.. Time: 0:00:54 Points: 129   ⌟ # Computing specializations.. Time: 0:00:55 Points: 130   ⌞ # Computing specializations.. Time: 0:00:55 Points: 132   ⌜ # Computing specializations.. Time: 0:00:56 Points: 134   ⌝ # Computing specializations.. Time: 0:00:56 Points: 136   ⌟ # Computing specializations.. Time: 0:00:57 Points: 138   ⌞ # Computing specializations.. Time: 0:00:58 Points: 139  ====================================================================================== Information request received. A stacktrace will print followed by a 1.0 second profile. --trace-compile is enabled during profile collection. ====================================================================================== cmd: /opt/julia/bin/julia 1 running 0 of 1 signal (10): User defined signal 1 epoll_pwait at /lib/x86_64-linux-gnu/libc.so.6 (unknown line) uv__io_poll at /workspace/srcdir/libuv/src/unix/linux.c:1404:0 uv_run at /workspace/srcdir/libuv/src/unix/core.c:430:0 ijl_task_get_next at /source/src/scheduler.c:524:34  ⌜ # Computing specializations.. Time: 0:00:58 Points: 140 wait at ./task.jl:1248:0 (pc: 107) wait_forever at ./task.jl:1170:0 (pc: 4) jfptr_wait_forever_0.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 jl_apply at /source/src/julia.h:2405:12 [inlined] start_task at /source/src/task.c:1276:19 unknown function (ip: (nil)) at (unknown file)  ⌝ # Computing specializations.. Time: 0:00:59 Points: 141  ============================================================== Profile collected. A report will print at the next yield point. Disabling --trace-compile ==============================================================  ⌟ # Computing specializations.. Time: 0:00:59 Points: 142   ⌞ # Computing specializations.. Time: 0:01:00 Points: 143   ⌜ # Computing specializations.. Time: 0:01:01 Points: 144   ⌝ # Computing specializations.. Time: 0:01:01 Points: 145   ⌟ # Computing specializations.. Time: 0:01:02 Points: 146 ┌ Warning: There were no samples collected in one or more groups. │ This may be due to idle threads, or you may need to run your │ program longer (perhaps by running it multiple times), │ or adjust the delay between samples with `Profile.init()`. └ @ Profile /opt/julia/share/julia/stdlib/v1.14/Profile/src/Profile.jl:1361 Overhead ╎ [+additional indent] Count File:Line Function ========================================================= Thread 1 (default) Task 0x00007475a8df9f00 Total snapshots: 416. Utilization: 0% ╎416 @Base/task.jl:1170 wait_forever() 415╎ 416 @Base/task.jl:1248 wait()  ⌞ # Computing specializations.. Time: 0:01:03 Points: 147   ⌜ # Computing specializations.. Time: 0:01:03 Points: 148   ⌝ # Computing specializations.. Time: 0:01:04 Points: 150   ⌟ # Computing specializations.. Time: 0:01:04 Points: 151   ⌞ # Computing specializations.. Time: 0:01:05 Points: 153   ⌜ # Computing specializations.. Time: 0:01:06 Points: 155   ⌝ # Computing specializations.. Time: 0:01:06 Points: 157   ⌟ # Computing specializations.. Time: 0:01:07 Points: 159   ⌞ # Computing specializations.. Time: 0:01:08 Points: 161   ⌜ # Computing specializations.. Time: 0:01:08 Points: 162   ⌝ # Computing specializations.. Time: 0:01:09 Points: 164   ⌟ # Computing specializations.. Time: 0:01:10 Points: 165   ⌞ # Computing specializations.. Time: 0:01:10 Points: 167   ⌜ # Computing specializations.. Time: 0:01:11 Points: 169   ⌝ # Computing specializations.. Time: 0:01:11 Points: 171   ⌟ # Computing specializations.. Time: 0:01:12 Points: 172   ⌞ # Computing specializations.. Time: 0:01:13 Points: 174   ⌜ # Computing specializations.. Time: 0:01:13 Points: 176   ⌝ # Computing specializations.. Time: 0:01:14 Points: 178   ⌟ # Computing specializations.. Time: 0:01:15 Points: 179   ⌞ # Computing specializations.. Time: 0:01:15 Points: 181   ⌜ # Computing specializations.. Time: 0:01:16 Points: 182   ⌝ # Computing specializations.. Time: 0:01:16 Points: 184   ⌟ # Computing specializations.. Time: 0:01:17 Points: 186   ⌞ # Computing specializations.. Time: 0:01:18 Points: 188   ⌜ # Computing specializations.. Time: 0:01:18 Points: 190  [1] signal 15: Terminated in expression starting at /PkgEval.jl/scripts/evaluate.jl:214 epoll_pwait at /lib/x86_64-linux-gnu/libc.so.6 (unknown line) uv__io_poll at /workspace/srcdir/libuv/src/unix/linux.c:1404:0 uv_run at /workspace/srcdir/libuv/src/unix/core.c:430:0 ijl_task_get_next at /source/src/scheduler.c:524:34 wait at ./task.jl:1248:0 (pc: 107) wait_forever at ./task.jl:1170:0 (pc: 4) jfptr_wait_forever_0.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 jl_apply at /source/src/julia.h:2405:12 [inlined] start_task at /source/src/task.c:1276:19 unknown function (ip: (nil)) at (unknown file) Allocations: 19443069 (Pool: 19442320; Big: 749); GC: 18 [37] signal 15: Terminated in expression starting at /home/pkgeval/.julia/packages/StructuralIdentifiability/mw5Vw/test/bodies/identifiable_functions.jl:1151 gc_mark_obj8 at /source/src/gc-stock.c:1748:13 [inlined] gc_mark_outrefs at /source/src/gc-stock.c:2519:23 [inlined] gc_mark_and_steal at /source/src/gc-stock.c:2601:9 _jl_gc_collect at /source/src/gc-stock.c:3139:13 ijl_gc_collect at /source/src/gc-stock.c:3561:13 maybe_collect at /source/src/gc-stock.c:357:9 [inlined] jl_gc_small_alloc_inner at /source/src/gc-stock.c:734:5 ijl_gc_small_alloc at /source/src/gc-stock.c:783:23 ZZRingElem at /home/pkgeval/.julia/packages/Nemo/MT5uH/src/flint/FlintTypes.jl:71:0 [inlined] lift at /home/pkgeval/.julia/packages/Nemo/MT5uH/src/flint/gfp_elem.jl:43:0 [inlined] lift at /home/pkgeval/.julia/packages/Nemo/MT5uH/src/flint/gfp_elem.jl:44:0 [inlined] io_lift_coeff_ff at /home/pkgeval/.julia/packages/Groebner/Q7HGS/src/input_output/AbstractAlgebra.jl:108:0 [inlined] iterate at ./generator.jl:48:0 [inlined] collect_to! at ./array.jl:914:0 (pc: 26) collect_to_with_first! at ./array.jl:869:0 [inlined] collect at ./array.jl:843:0 (pc: 208) map at ./abstractarray.jl:3498:0 [inlined] io_extract_coeffs_ir_ff at /home/pkgeval/.julia/packages/Groebner/Q7HGS/src/input_output/AbstractAlgebra.jl:120:0 [inlined] io_extract_coeffs_ir at /home/pkgeval/.julia/packages/Groebner/Q7HGS/src/input_output/AbstractAlgebra.jl:100:0 (pc: 72) unknown function (ip: 0x7ca857192b34) at (unknown file) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 io_convert_polynomials_to_ir at /home/pkgeval/.julia/packages/Groebner/Q7HGS/src/input_output/AbstractAlgebra.jl:16:0 (pc: 33) groebner_apply0! at /home/pkgeval/.julia/packages/Groebner/Q7HGS/src/groebner/learn_apply.jl:128:0 (pc: 1) #groebner_apply!#206 at /home/pkgeval/.julia/packages/Groebner/Q7HGS/src/interface.jl:403:0 [inlined] groebner_apply! at /home/pkgeval/.julia/packages/Groebner/Q7HGS/src/interface.jl:401:0 (pc: 2) unknown function (ip: 0x7ca8571c0e9a) at (unknown file) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 interpolate_exponents! at /home/pkgeval/.julia/packages/ParamPunPam/nx0fr/src/groebner/paramgb.jl:459:0 (pc: 1345) _paramgb at /home/pkgeval/.julia/packages/ParamPunPam/nx0fr/src/groebner/paramgb.jl:166:0 (pc: 19) #paramgb#63 at /home/pkgeval/.julia/packages/ParamPunPam/nx0fr/src/groebner/paramgb.jl:108:0 (pc: 518) paramgb at /home/pkgeval/.julia/packages/ParamPunPam/nx0fr/src/groebner/paramgb.jl:65:0 [inlined] #groebner_basis_coeffs#135 at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/simplification.jl:147:0 (pc: 452) groebner_basis_coeffs at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/simplification.jl:147:0 (pc: 11) unknown function (ip: 0x7ca8570d2091) at (unknown file) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 #simplified_generating_set#137 at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/simplification.jl:319:0 (pc: 181) simplified_generating_set at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/simplification.jl:319:0 (pc: 19) unknown function (ip: 0x7ca85651c384) at (unknown file) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 #_find_identifiable_functions#257 at /home/pkgeval/.julia/packages/StructuralIdentifiability/mw5Vw/src/identifiable_functions.jl:119:0 (pc: 80) _find_identifiable_functions at /home/pkgeval/.julia/packages/StructuralIdentifiability/mw5Vw/src/identifiable_functions.jl:85:0 [inlined] #255 at /home/pkgeval/.julia/packages/StructuralIdentifiability/mw5Vw/src/identifiable_functions.jl:62:0 (pc: 12) with_logstate at ./logging/logging.jl:542:0 (pc: 47) with_logger at ./logging/logging.jl:653:0 [inlined] #find_identifiable_functions#253 at /home/pkgeval/.julia/packages/StructuralIdentifiability/mw5Vw/src/identifiable_functions.jl:60:0 [inlined] find_identifiable_functions at /home/pkgeval/.julia/packages/StructuralIdentifiability/mw5Vw/src/identifiable_functions.jl:48:0 (pc: 25) unknown function (ip: 0x7ca85651b7b0) at (unknown file) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 jl_apply at /source/src/julia.h:2405:12 [inlined] do_call at /source/src/interpreter.c:123:26 eval_value at /source/src/interpreter.c:259:16 eval_body at /source/src/interpreter.c:645:35 eval_body at /source/src/interpreter.c:614:21 eval_body at /source/src/interpreter.c:622:21 eval_body at /source/src/interpreter.c:622:21 eval_body at /source/src/interpreter.c:622:21 jl_interpret_toplevel_thunk at /source/src/interpreter.c:947:21 ijl_eval_thunk at /source/src/toplevel.c:764:18 jl_toplevel_eval_flex at /source/src/toplevel.c:708:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:598:15 jl_toplevel_eval_flex at /source/src/toplevel.c:680:27 ijl_toplevel_eval at /source/src/toplevel.c:778:12 ijl_toplevel_eval_in at /source/src/toplevel.c:823:13 eval at ./boot.jl:522:0 (pc: 1) include_string at ./loading.jl:3132:0 (pc: 208) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 _include at ./loading.jl:3192:0 (pc: 122) include at ./Base.jl:326:0 (pc: 1) IncludeInto at ./Base.jl:327:0 (pc: 2) unknown function (ip: 0x7ca895b6cf22) at (unknown file) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 jl_apply at /source/src/julia.h:2405:12 [inlined] do_call at /source/src/interpreter.c:123:26 eval_value at /source/src/interpreter.c:259:16 eval_stmt_value at /source/src/interpreter.c:194:23 [inlined] eval_body at /source/src/interpreter.c:757:13 eval_body at /source/src/interpreter.c:614:21 eval_body at /source/src/interpreter.c:622:21 eval_body at /source/src/interpreter.c:622:21 eval_body at /source/src/interpreter.c:622:21 jl_interpret_toplevel_thunk at /source/src/interpreter.c:947:21 ijl_eval_thunk at /source/src/toplevel.c:764:18 jl_toplevel_eval_flex at /source/src/toplevel.c:708:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:598:15 jl_eval_module_expr at /source/src/toplevel.c:262:5 [inlined] jl_toplevel_eval_flex at /source/src/toplevel.c:661:27 ijl_toplevel_eval at /source/src/toplevel.c:778:12 ijl_toplevel_eval_in at /source/src/toplevel.c:823:13 eval at ./boot.jl:522:0 (pc: 1) jfptr_eval_0.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 jl_apply at /source/src/julia.h:2405:12 [inlined] do_call at /source/src/interpreter.c:123:26 eval_value at /source/src/interpreter.c:259:16 eval_stmt_value at /source/src/interpreter.c:194:23 [inlined] eval_body at /source/src/interpreter.c:757:13 jl_interpret_toplevel_thunk at /source/src/interpreter.c:947:21 ijl_eval_thunk at /source/src/toplevel.c:764:18 jl_toplevel_eval_flex at /source/src/toplevel.c:708:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:598:15 jl_toplevel_eval_flex at /source/src/toplevel.c:680:27 ijl_toplevel_eval at /source/src/toplevel.c:778:12 ijl_toplevel_eval_in at /source/src/toplevel.c:823:13 eval at ./boot.jl:522:0 (pc: 1) include_string at ./loading.jl:3132:0 (pc: 208) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 _include at ./loading.jl:3192:0 (pc: 122) include at ./Base.jl:326:0 (pc: 1) IncludeInto at ./Base.jl:327:0 (pc: 2) unknown function (ip: 0x7ca895b6cf22) at (unknown file) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 jl_apply at /source/src/julia.h:2405:12 [inlined] do_call at /source/src/interpreter.c:123:26 eval_value at /source/src/interpreter.c:259:16 eval_stmt_value at /source/src/interpreter.c:194:23 [inlined] eval_body at /source/src/interpreter.c:757:13 eval_body at /source/src/interpreter.c:614:21 eval_body at /source/src/interpreter.c:622:21 eval_body at /source/src/interpreter.c:622:21 eval_body at /source/src/interpreter.c:622:21 jl_interpret_toplevel_thunk at /source/src/interpreter.c:947:21 ijl_eval_thunk at /source/src/toplevel.c:764:18 jl_toplevel_eval_flex at /source/src/toplevel.c:708:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:598:15 jl_eval_module_expr at /source/src/toplevel.c:262:5 [inlined] jl_toplevel_eval_flex at /source/src/toplevel.c:661:27 ijl_toplevel_eval at /source/src/toplevel.c:778:12 ijl_toplevel_eval_in at /source/src/toplevel.c:823:13 eval at ./boot.jl:522:0 (pc: 1) jfptr_eval_0.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 jl_apply at /source/src/julia.h:2405:12 [inlined] do_call at /source/src/interpreter.c:123:26 eval_value at /source/src/interpreter.c:259:16 eval_stmt_value at /source/src/interpreter.c:194:23 [inlined] eval_body at /source/src/interpreter.c:757:13 jl_interpret_toplevel_thunk at /source/src/interpreter.c:947:21 ijl_eval_thunk at /source/src/toplevel.c:764:18 jl_toplevel_eval_flex at /source/src/toplevel.c:708:26 ijl_toplevel_eval at /source/src/toplevel.c:778:12 ijl_toplevel_eval_in at /source/src/toplevel.c:823:13 eval at ./boot.jl:522:0 (pc: 1) #_run_body#22 at /home/pkgeval/.julia/packages/SciMLTesting/FF1RX/src/SciMLTesting.jl:960:0 (pc: 7) _run_body at /home/pkgeval/.julia/packages/SciMLTesting/FF1RX/src/SciMLTesting.jl:944:0 [inlined] _run_core_folder at /home/pkgeval/.julia/packages/SciMLTesting/FF1RX/src/SciMLTesting.jl:1021:0 (pc: 50) _run_folder_group at /home/pkgeval/.julia/packages/SciMLTesting/FF1RX/src/SciMLTesting.jl:1061:0 (pc: 3) #run_tests#23 at /home/pkgeval/.julia/packages/SciMLTesting/FF1RX/src/SciMLTesting.jl:1337:0 (pc: 19) run_tests at /home/pkgeval/.julia/packages/SciMLTesting/FF1RX/src/SciMLTesting.jl:1312:0 (pc: 9) unknown function (ip: 0x7ca895b00b1f) at (unknown file) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 jl_apply at /source/src/julia.h:2405:12 [inlined] do_call at /source/src/interpreter.c:123:26 eval_value at /source/src/interpreter.c:259:16 eval_stmt_value at /source/src/interpreter.c:194:23 [inlined] eval_body at /source/src/interpreter.c:757:13 jl_interpret_toplevel_thunk at /source/src/interpreter.c:947:21 ijl_eval_thunk at /source/src/toplevel.c:764:18 jl_toplevel_eval_flex at /source/src/toplevel.c:708:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:598:15 jl_toplevel_eval_flex at /source/src/toplevel.c:680:27 ijl_toplevel_eval at /source/src/toplevel.c:778:12 ijl_toplevel_eval_in at /source/src/toplevel.c:823:13 eval at ./boot.jl:522:0 (pc: 1) include_string at ./loading.jl:3132:0 (pc: 208) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 _include at ./loading.jl:3192:0 (pc: 122) include at ./Base.jl:326:0 (pc: 1) IncludeInto at ./Base.jl:327:0 (pc: 2) jfptr_IncludeInto_1.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 jl_apply at /source/src/julia.h:2405:12 [inlined] do_call at /source/src/interpreter.c:123:26 eval_value at /source/src/interpreter.c:259:16 eval_stmt_value at /source/src/interpreter.c:194:23 [inlined] eval_body at /source/src/interpreter.c:757:13 jl_interpret_toplevel_thunk at /source/src/interpreter.c:947:21 ijl_eval_thunk at /source/src/toplevel.c:764:18 jl_toplevel_eval_flex at /source/src/toplevel.c:708:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:598:15 jl_toplevel_eval_flex at /source/src/toplevel.c:680:27 ijl_toplevel_eval at /source/src/toplevel.c:778:12 ijl_toplevel_eval_in at /source/src/toplevel.c:823:13 eval at ./boot.jl:522:0 (pc: 1) exec_options at ./client.jl:321:0 (pc: 426) _start at ./client.jl:596:0 (pc: 295) jfptr__start_0.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4326:23 [inlined] ijl_apply_generic at /source/src/gf.c:4564:12 jl_apply at /source/src/julia.h:2405:12 [inlined] true_main at /source/src/jlapi.c:985:29 jl_repl_entrypoint at /source/src/jlapi.c:1152:15 main at /source/cli/loader_exe.c:58:15 unknown function (ip: 0x7ca8b3843249) at /lib/x86_64-linux-gnu/libc.so.6 __libc_start_main at /lib/x86_64-linux-gnu/libc.so.6 (unknown line) unknown function (ip: 0x4010b8) at /workspace/srcdir/glibc-2.17/csu/../sysdeps/x86_64/start.S unknown function (ip: (nil)) at (unknown file) Allocations: 3029373202 (Pool: 3029371474; Big: 1728); GC: 1948 PkgEval terminated after 2753.5s: test duration exceeded the time limit