Package evaluation to test StructuralIdentifiability on Julia 1.14.0-DEV.2435 (e1b2c72e96*) started at 2026-06-25T16:28:23.900 ################################################################################ # Set-up # Installing PkgEval dependencies (TestEnv)... Activating project at `~/.julia/environments/v1.14` Set-up completed after 15.02s ################################################################################ # Installation # Installing StructuralIdentifiability... Resolving package versions... Installed StructuralIdentifiability ─ v0.5.22 Updating `~/.julia/environments/v1.14/Project.toml` [220ca800] + StructuralIdentifiability v0.5.22 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 v0.5.22 [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+0 [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 To see why use `status --outdated -m` Installation completed after 6.18s ################################################################################ # Precompilation # Precompiling PkgEval dependencies... Precompiling package dependencies... Precompiling project... 2.2 s ✓ FLINT_jll 7.2 s ✓ SciMLTesting 35.1 s ✓ Nemo 141.4 s ✓ Groebner 13.9 s ✓ ParamPunPam 14.5 s ✓ RationalFunctionFields 15.6 s ✓ StructuralIdentifiability 7 dependencies successfully precompiled in 231 seconds. 73 already precompiled. Precompilation completed after 257.66s ################################################################################ # Testing # Testing StructuralIdentifiability Status `/tmp/jl_ZcENxm/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 v1.6.0 [276daf66] SpecialFunctions v2.8.0 [220ca800] StructuralIdentifiability v0.5.22 [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_ZcENxm/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 v1.2.0 [09d9d899] SciMLTesting v1.6.0 [276daf66] SpecialFunctions v2.8.0 [aedffcd0] Static v1.4.1 [220ca800] StructuralIdentifiability v0.5.22 [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+0 [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 47.0s Test Summary: | Pass Total Time Core/check_primality_zerodim.jl | 5 5 3m02.4s [ 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/lHwSE/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 40.6s Test Summary: | Pass Total Time Core/decompose_derivative.jl | 5 5 1.0s Test Summary: | Pass Total Time Core/det_minor_expansion.jl | 50 50 3.7s [ 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 14.0s [ 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 1.992196 seconds (809.95 k allocations: 47.069 MiB, 99.67% compilation time) 0.001638 seconds (7.08 k allocations: 310.367 KiB) 0.002023 seconds (10.74 k allocations: 481.812 KiB) 0.001943 seconds (10.74 k allocations: 477.734 KiB) 0.002391 seconds (14.49 k allocations: 633.031 KiB) 0.001423 seconds (7.92 k allocations: 359.211 KiB) 0.000893 seconds (7.44 k allocations: 300.273 KiB) 14.563474 seconds (5.16 M allocations: 312.758 MiB, 1.30% gc time, 99.85% compilation time) Test Summary: | Pass Total Time Core/differentiate_output.jl | 58 58 46.6s [ 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 0.309295 seconds (82.22 k allocations: 5.269 MiB, 98.79% compilation time) [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: [ Info: Inputs: u [ Info: Outputs: y 0.012079 seconds (8.04 k allocations: 452.695 KiB, 91.45% compilation time) Test Summary: | Pass Total Time Core/diffreduction.jl | 6 6 30.0s Test Summary: | Pass Total Time Core/exp_vec_trie.jl | 800 800 3.2s [ 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 5.7s Test Summary: | Pass Total Time Core/extract_coefficients.jl | 9 9 3.7s [ 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 2.0s [ 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 0.003299518 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 1.904834566 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 0.055606037 seconds [ Info: Global identifiability assessed in 54.509073039 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Functions to check involve states [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.00209916 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Global identifiability assessed in 1.33212507 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Global identifiability assessed in 5.888e-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 0.038069425 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.4628359 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.835e-5 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:16 ✓ # Computing specializations.. Time: 0:00:18 [ Info: Search for polynomial generators concluded in 18.021235958 [ Info: Selecting generators in 0.012257602 [ Info: Inclusion checked with probability 0.9955 in 0.063228794 seconds [ Info: Global identifiability assessed in 113.890485224 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Computing IO-equations [ Info: Computed IO-equations in 1.687548321 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 2.114552775 seconds [ Info: Dimensions of the Wronskians [676] [ Info: Ranks of the Wronskians computed in 0.130075292 seconds [ Info: Global identifiability assessed in 45.335406379 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.014385962 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.028478867 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000370057 seconds [ Info: Global identifiability assessed in 0.073893652 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 7.479576648 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002506296 seconds [ Info: Dimensions of the Wronskians [2, 3, 2] [ Info: Ranks of the Wronskians computed in 2.248e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.906048748 [ Info: Selecting generators in 0.000362317 [ Info: Inclusion checked with probability 0.9955 in 0.002925632 seconds [ Info: Global identifiability assessed in 10.898476679 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002236829 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001501796 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.329e-5 seconds [ Info: Global identifiability assessed in 0.006454978 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002634785 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001725303 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.467e-5 seconds [ Info: Global identifiability assessed in 0.007582377 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Functions to check involve states [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.00518607 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003935422 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.692e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.196255504 [ Info: Selecting generators in 0.016165405 [ Info: Inclusion checked with probability 0.9955 in 0.005898853 seconds [ Info: Global identifiability assessed in 2.501627932 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Functions to check involve states [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.008634747 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003381727 seconds [ Info: Dimensions of the Wronskians [2, 5] [ Info: Ranks of the Wronskians computed in 2.066e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.007439668 [ Info: Selecting generators in 0.004013442 [ Info: Inclusion checked with probability 0.9955 in 0.004325378 seconds [ Info: Global identifiability assessed in 0.050835662 seconds Test Summary: | Pass Total Time Core/identifiability.jl | 11 11 5m01.4s [ 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 0.001476666 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001067739 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.2839e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.0689e-5 [ Info: Selecting generators in 1.381536017 [ Info: Inclusion checked with probability 0.995 in 0.00212809 seconds [ Info: The search for identifiable functions concluded in 2.752223307 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 0.001554225 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.0011003 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.031e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.7549e-5 [ Info: Selecting generators in 0.000655574 [ Info: Inclusion checked with probability 0.995 in 0.001951191 seconds [ Info: The search for identifiable functions concluded in 0.010517059 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 0.001258378 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000945941 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.887e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.6859e-5 [ Info: Selecting generators in 0.000612014 [ Info: Inclusion checked with probability 0.995 in 0.001860452 seconds [ Info: The search for identifiable functions concluded in 0.008954854 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 0.001131109 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000910961 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.8259e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000453786 [ Info: Selecting generators in 0.000592325 [ Info: Inclusion checked with probability 0.995 in 0.002047941 seconds [ Info: The search for identifiable functions concluded in 0.009908474 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 0.001311987 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000927061 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.982e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000406816 [ Info: Selecting generators in 0.000613514 [ Info: Inclusion checked with probability 0.995 in 0.001805443 seconds [ Info: The search for identifiable functions concluded in 0.010039633 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 0.001133229 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000951471 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.8269e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000391186 [ Info: Selecting generators in 0.000604354 [ Info: Inclusion checked with probability 0.995 in 0.001798593 seconds [ Info: The search for identifiable functions concluded in 0.009737967 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 0.001727214 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00109469 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.7789e-5 seconds [ Info: The search for identifiable functions concluded in 0.038956327 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001842852 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001144709 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.677e-5 seconds [ Info: The search for identifiable functions concluded in 0.003699894 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001333647 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000972181 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.533e-5 seconds [ Info: The search for identifiable functions concluded in 0.002809893 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001309387 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000924131 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.508e-5 seconds [ Info: The search for identifiable functions concluded in 0.002712524 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001214399 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000913731 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.329e-5 seconds [ Info: The search for identifiable functions concluded in 0.002592365 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001323978 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00099024 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.466e-5 seconds [ Info: The search for identifiable functions concluded in 0.002832973 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001862922 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001141379 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.607e-5 seconds [ Info: The search for identifiable functions concluded in 0.003731914 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001508026 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00100059 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.578e-5 seconds [ Info: The search for identifiable functions concluded in 0.003145499 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001485365 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000957741 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.53e-5 seconds [ Info: The search for identifiable functions concluded in 0.002966131 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001450496 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.0009688 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.451e-5 seconds [ Info: The search for identifiable functions concluded in 0.002941511 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001421187 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00099987 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.465e-5 seconds [ Info: The search for identifiable functions concluded in 0.002948352 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001487906 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000925921 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.478e-5 seconds [ Info: The search for identifiable functions concluded in 0.002952912 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.22417615 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001767743 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.123e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 6.0879e-5 [ Info: Selecting generators in 0.000538915 [ Info: Inclusion checked with probability 0.995 in 0.001819113 seconds [ Info: The search for identifiable functions concluded in 0.233339552 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 0.002385577 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001352597 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.925e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 6.4289e-5 [ Info: Selecting generators in 0.000552745 [ Info: Inclusion checked with probability 0.995 in 0.001788822 seconds [ Info: The search for identifiable functions concluded in 0.011316321 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 0.002331248 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001464926 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.004e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 5.5739e-5 [ Info: Selecting generators in 0.000514585 [ Info: Inclusion checked with probability 0.995 in 0.001974711 seconds [ Info: The search for identifiable functions concluded in 0.011139023 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 0.002351537 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001400666 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.719e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000390326 [ Info: Selecting generators in 0.000529874 [ Info: Inclusion checked with probability 0.995 in 0.001799193 seconds [ Info: The search for identifiable functions concluded in 0.011612619 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 0.002695564 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001429717 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.695e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000405236 [ Info: Selecting generators in 0.000609294 [ Info: Inclusion checked with probability 0.995 in 0.001768583 seconds [ Info: The search for identifiable functions concluded in 0.011925555 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 0.002335448 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001399547 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.6819e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000389126 [ Info: Selecting generators in 0.000537885 [ Info: Inclusion checked with probability 0.995 in 0.001780992 seconds [ Info: The search for identifiable functions concluded in 0.011242582 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 0.001464336 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001408616 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.589e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.2679e-5 [ Info: Selecting generators in 0.001841272 [ Info: Inclusion checked with probability 0.995 in 0.003431397 seconds [ Info: The search for identifiable functions concluded in 0.017499152 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 0.001326598 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001163629 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 1.965e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.1909e-5 [ Info: Selecting generators in 0.001916741 [ Info: Inclusion checked with probability 0.995 in 0.003677255 seconds [ Info: The search for identifiable functions concluded in 0.017568781 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 0.001317788 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00109872 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 3.676e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.9399e-5 [ Info: Selecting generators in 0.002243498 [ Info: Inclusion checked with probability 0.995 in 0.003558616 seconds [ Info: The search for identifiable functions concluded in 0.017294755 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 0.001271338 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00107964 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.321e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.26168134 [ Info: Selecting generators in 0.003643715 [ Info: Inclusion checked with probability 0.995 in 0.003936542 seconds [ Info: The search for identifiable functions concluded in 0.280872096 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 0.001954932 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001639184 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.641e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.019053237 [ Info: Selecting generators in 0.003831483 [ Info: Inclusion checked with probability 0.995 in 0.003715844 seconds [ Info: The search for identifiable functions concluded in 0.04270114 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 0.001469366 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001455506 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 3.332e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.017272834 [ Info: Selecting generators in 0.003497286 [ Info: Inclusion checked with probability 0.995 in 0.003569465 seconds [ Info: The search for identifiable functions concluded in 0.037991336 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 0.001320038 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00105748 seconds [ Info: Dimensions of the Wronskians [3] [ 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 8.5889e-5 [ Info: Selecting generators in 0.00212893 [ Info: Inclusion checked with probability 0.995 in 0.00313929 seconds [ Info: The search for identifiable functions concluded in 1.152966459 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 0.001361967 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00100208 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.15e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.7269e-5 [ Info: Selecting generators in 0.002001811 [ Info: Inclusion checked with probability 0.995 in 0.002659095 seconds [ Info: The search for identifiable functions concluded in 0.014050855 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 0.001484975 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00103539 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.144e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.0339e-5 [ Info: Selecting generators in 0.002561195 [ Info: Inclusion checked with probability 0.995 in 0.004551386 seconds [ Info: The search for identifiable functions concluded in 0.016528901 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 0.001368207 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001013831 seconds [ Info: Dimensions of the Wronskians [3] [ 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 0.24812753 [ Info: Selecting generators in 0.002334458 [ Info: Inclusion checked with probability 0.995 in 0.002963172 seconds [ Info: The search for identifiable functions concluded in 0.26371279 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 0.001298467 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000992071 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.929e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.005565947 [ Info: Selecting generators in 0.00207708 [ Info: Inclusion checked with probability 0.995 in 0.002602786 seconds [ Info: The search for identifiable functions concluded in 0.019153326 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 0.001249948 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00103037 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.378e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.005329089 [ Info: Selecting generators in 0.00209178 [ Info: Inclusion checked with probability 0.995 in 0.002698734 seconds [ Info: The search for identifiable functions concluded in 0.020081957 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 0.00212206 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001792232 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.2829e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.7999e-5 [ Info: Selecting generators in 0.000508275 [ Info: Inclusion checked with probability 0.995 in 0.002667834 seconds [ Info: The search for identifiable functions concluded in 0.017333793 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 0.0020466 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001498575 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.7949e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.5589e-5 [ Info: Selecting generators in 0.000504966 [ Info: Inclusion checked with probability 0.995 in 0.002754254 seconds [ Info: The search for identifiable functions concluded in 0.017113636 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 0.002201329 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001487256 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.828e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.892e-5 [ Info: Selecting generators in 0.000503475 [ Info: Inclusion checked with probability 0.995 in 0.002740184 seconds [ Info: The search for identifiable functions concluded in 0.017504062 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 0.002300587 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001558485 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.713e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006994123 [ Info: Selecting generators in 0.000627873 [ Info: Inclusion checked with probability 0.995 in 0.002759344 seconds [ Info: The search for identifiable functions concluded in 0.025354287 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 0.00211827 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001529615 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.797e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006928773 [ Info: Selecting generators in 0.000625854 [ Info: Inclusion checked with probability 0.995 in 0.002680005 seconds [ Info: The search for identifiable functions concluded in 0.024455456 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 0.002890552 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001627454 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.914e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.007052853 [ Info: Selecting generators in 0.000647274 [ Info: Inclusion checked with probability 0.995 in 0.002927072 seconds [ Info: The search for identifiable functions concluded in 0.027436997 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 0.002662905 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001871982 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.035e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000104669 [ Info: Selecting generators in 0.002926502 [ Info: Inclusion checked with probability 0.995 in 0.003490737 seconds [ Info: The search for identifiable functions concluded in 0.022737432 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 0.002729504 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001830722 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.034e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.5289e-5 [ Info: Selecting generators in 0.003068071 [ Info: Inclusion checked with probability 0.995 in 0.004431347 seconds [ Info: The search for identifiable functions concluded in 0.024226108 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 0.002557396 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001814153 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.426e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.325e-5 [ Info: Selecting generators in 0.003000501 [ Info: Inclusion checked with probability 0.995 in 0.003556266 seconds [ Info: The search for identifiable functions concluded in 0.022978679 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 0.002792173 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002212079 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 1.9889e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.013729619 [ Info: Selecting generators in 0.003005171 [ Info: Inclusion checked with probability 0.995 in 0.007940744 seconds [ Info: The search for identifiable functions concluded in 0.041416833 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 0.005466277 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001809922 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.0849e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.015038386 [ Info: Selecting generators in 0.003048211 [ Info: Inclusion checked with probability 0.995 in 0.003689335 seconds [ Info: The search for identifiable functions concluded in 0.039066375 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 0.002865953 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001854732 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 1.8449e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.014483351 [ Info: Selecting generators in 0.002917792 [ Info: Inclusion checked with probability 0.995 in 0.003337858 seconds [ Info: The search for identifiable functions concluded in 0.035095903 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 0.015104085 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004730725 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.055e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000151639 [ Info: Selecting generators in 0.009337321 [ Info: Inclusion checked with probability 0.995 in 0.006506488 seconds [ Info: The search for identifiable functions concluded in 0.309179204 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 0.007552328 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004930563 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.1659e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000118768 [ Info: Selecting generators in 0.010275882 [ Info: Inclusion checked with probability 0.995 in 0.007007282 seconds [ Info: The search for identifiable functions concluded in 0.052333298 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 0.007756916 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005435677 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.023e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000773183 [ Info: Selecting generators in 0.009776447 [ Info: Inclusion checked with probability 0.995 in 0.005805864 seconds [ Info: The search for identifiable functions concluded in 0.345432426 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 0.006996882 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004842853 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.119e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002184419 [ Info: Selecting generators in 0.008841355 [ Info: Inclusion checked with probability 0.995 in 0.005955363 seconds [ Info: The search for identifiable functions concluded in 0.047010649 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 0.00735062 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005138271 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 2.919e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002142949 [ Info: Selecting generators in 0.00936752 [ Info: Inclusion checked with probability 0.995 in 0.006103932 seconds [ Info: The search for identifiable functions concluded in 0.048611364 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 0.006999203 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004861213 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 2.857e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002221629 [ Info: Selecting generators in 0.009254132 [ Info: Inclusion checked with probability 0.995 in 0.006369899 seconds [ Info: The search for identifiable functions concluded in 0.049125619 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 0.004682586 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002800173 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.795e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000120039 [ Info: Selecting generators in 0.002354808 [ Info: Inclusion checked with probability 0.995 in 0.004665786 seconds [ Info: The search for identifiable functions concluded in 0.024481825 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 0.006071282 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003757574 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.2069e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.2429e-5 [ Info: Selecting generators in 0.00213992 [ Info: Inclusion checked with probability 0.995 in 0.00422556 seconds [ Info: The search for identifiable functions concluded in 0.027926242 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 0.005649306 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003407827 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.111e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000103349 [ Info: Selecting generators in 0.002177109 [ Info: Inclusion checked with probability 0.995 in 0.004454238 seconds [ Info: The search for identifiable functions concluded in 0.027800883 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 0.005554417 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003374237 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.246e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001232319 [ Info: Selecting generators in 0.002252349 [ Info: Inclusion checked with probability 0.995 in 0.004374888 seconds [ Info: The search for identifiable functions concluded in 0.027791633 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 0.005602606 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003450667 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.1539e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001315957 [ Info: Selecting generators in 0.002203629 [ Info: Inclusion checked with probability 0.995 in 0.004557646 seconds [ Info: The search for identifiable functions concluded in 0.028422688 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 0.005518657 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003368037 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 0.000111359 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001234968 [ Info: Selecting generators in 0.002159119 [ Info: Inclusion checked with probability 0.995 in 0.004372879 seconds [ Info: The search for identifiable functions concluded in 0.027518616 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 0.005479497 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003219239 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.0799e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000102039 [ Info: Selecting generators in 0.002474627 [ Info: Inclusion checked with probability 0.995 in 0.00523324 seconds [ Info: The search for identifiable functions concluded in 0.030937454 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 0.005473247 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003418257 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.3499e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000105289 [ Info: Selecting generators in 0.002778913 [ Info: Inclusion checked with probability 0.995 in 0.003840623 seconds [ Info: The search for identifiable functions concluded in 0.03126969 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 0.005519067 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003622925 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.236e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000113849 [ Info: Selecting generators in 0.002651185 [ Info: Inclusion checked with probability 0.995 in 0.00415874 seconds [ Info: The search for identifiable functions concluded in 0.031744055 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 0.005519397 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003418707 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.2859e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.022105988 [ Info: Selecting generators in 0.004008781 [ Info: Inclusion checked with probability 0.995 in 0.003888363 seconds [ Info: The search for identifiable functions concluded in 0.054712025 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 0.005615736 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003741304 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.4039e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.021731121 [ Info: Selecting generators in 0.004078901 [ Info: Inclusion checked with probability 0.995 in 0.004701025 seconds [ Info: The search for identifiable functions concluded in 0.055811975 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 0.005878893 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003389937 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.409e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.306130223 [ Info: Selecting generators in 0.003800254 [ Info: Inclusion checked with probability 0.995 in 0.003723904 seconds [ Info: The search for identifiable functions concluded in 0.338720221 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 0.002870912 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001909681 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.893e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.5619e-5 [ Info: Selecting generators in 0.001883222 [ Info: Inclusion checked with probability 0.995 in 0.003667455 seconds [ Info: The search for identifiable functions concluded in 0.019247996 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 0.002726544 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001822663 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.963e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.4259e-5 [ Info: Selecting generators in 0.001603985 [ Info: Inclusion checked with probability 0.995 in 0.003323298 seconds [ Info: The search for identifiable functions concluded in 0.018136986 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 0.002673185 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001973211 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.959e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.524e-5 [ Info: Selecting generators in 0.001580685 [ Info: Inclusion checked with probability 0.995 in 0.003213069 seconds [ Info: The search for identifiable functions concluded in 0.018033347 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 0.002659185 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001990121 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.967e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.014478991 [ Info: Selecting generators in 0.002881862 [ Info: Inclusion checked with probability 0.995 in 0.003770424 seconds [ Info: The search for identifiable functions concluded in 0.034755527 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 0.002519966 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001948532 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.9619e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.012380531 [ Info: Selecting generators in 0.002689674 [ Info: Inclusion checked with probability 0.995 in 0.003039791 seconds [ Info: The search for identifiable functions concluded in 0.030642256 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 0.002513285 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001725093 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 0.012612489 [ Info: Selecting generators in 0.002687284 [ Info: Inclusion checked with probability 0.995 in 0.00316 seconds [ Info: The search for identifiable functions concluded in 0.030824804 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 0.014388442 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.029416248 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000345576 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:09 ✓ # Computing specializations.. Time: 0:00:09 [ Info: Search for polynomial generators concluded in 0.000194888 [ Info: Selecting generators in 0.018382834 [ Info: Inclusion checked with probability 0.995 in 0.031652886 seconds [ Info: The search for identifiable functions concluded in 16.900941838 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 0.016519721 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.036122653 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000309567 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000148359 [ Info: Selecting generators in 0.020003798 [ Info: Inclusion checked with probability 0.995 in 0.032614737 seconds [ Info: The search for identifiable functions concluded in 0.186692599 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 0.015193204 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.029727285 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000350307 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000123529 [ Info: Selecting generators in 0.016782239 [ Info: Inclusion checked with probability 0.995 in 0.029721204 seconds [ Info: The search for identifiable functions concluded in 0.169444614 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 0.014736508 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.029660636 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000355456 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.333433708 [ Info: Selecting generators in 0.015510991 [ Info: Inclusion checked with probability 0.995 in 0.027818173 seconds [ Info: The search for identifiable functions concluded in 1.49700043 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 0.013945706 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.028462927 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000342567 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.05003103 [ Info: Selecting generators in 0.015260354 [ Info: Inclusion checked with probability 0.995 in 0.025907871 seconds [ Info: The search for identifiable functions concluded in 0.20438464 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 0.013815417 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.028601316 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000302547 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:00 Points: 11   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.055155291 [ Info: Selecting generators in 0.017214805 [ Info: Inclusion checked with probability 0.995 in 0.028989022 seconds [ Info: The search for identifiable functions concluded in 0.997739529 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 1.578756025 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 7.467980839 seconds [ Info: Dimensions of the Wronskians [830, 3] [ Info: Ranks of the Wronskians computed in 0.182021864 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 Points: 5   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.000115379 [ Info: Selecting generators in 1.41459329 [ Info: Inclusion checked with probability 0.995 in 1.612156414 seconds [ Info: The search for identifiable functions concluded in 15.593510651 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 1.334011183 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 6.162114267 seconds [ Info: Dimensions of the Wronskians [830, 3] [ Info: Ranks of the Wronskians computed in 0.148267648 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 8.4509e-5 [ Info: Selecting generators in 0.673014554 [ Info: Inclusion checked with probability 0.995 in 2.210663483 seconds [ Info: The search for identifiable functions concluded in 13.468674215 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 1.410629028 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 5.473315535 seconds [ Info: Dimensions of the Wronskians [830, 3] [ Info: Ranks of the Wronskians computed in 0.152929213 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 Points: 3   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.000121629 [ Info: Selecting generators in 1.061895093 [ Info: Inclusion checked with probability 0.995 in 1.839430124 seconds [ Info: The search for identifiable functions concluded in 12.919637862 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 1.029292976 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 6.12013142 seconds [ Info: Dimensions of the Wronskians [830, 3] [ Info: Ranks of the Wronskians computed in 0.132700017 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 [ Info: Search for polynomial generators concluded in 0.034707807 [ Info: Selecting generators in 0.877592721 [ Info: Inclusion checked with probability 0.995 in 1.752084653 seconds [ Info: The search for identifiable functions concluded in 12.912483871 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 1.695635104 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 5.385330099 seconds [ Info: Dimensions of the Wronskians [830, 3] [ Info: Ranks of the Wronskians computed in 0.146634584 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.017202145 [ Info: Selecting generators in 0.409948188 [ Info: Inclusion checked with probability 0.995 in 2.161143038 seconds [ Info: The search for identifiable functions concluded in 12.897941352 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 1.50006507 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 5.341875406 seconds [ Info: Dimensions of the Wronskians [830, 3] [ Info: Ranks of the Wronskians computed in 0.129966403 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.019153936 [ Info: Selecting generators in 0.833841241 [ Info: Inclusion checked with probability 0.995 in 1.801614187 seconds [ Info: The search for identifiable functions concluded in 12.543713379 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 0.008207451 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006677236 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 2.7949e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000116859 [ Info: Selecting generators in 0.004583536 [ Info: Inclusion checked with probability 0.995 in 0.005573077 seconds [ Info: The search for identifiable functions concluded in 0.048495705 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 0.007590277 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00630535 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 2.343e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.181e-5 [ Info: Selecting generators in 0.004494287 [ Info: Inclusion checked with probability 0.995 in 0.00528324 seconds [ Info: The search for identifiable functions concluded in 0.045775041 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 0.007550697 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00625973 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 2.405e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.171e-5 [ Info: Selecting generators in 0.004389967 [ Info: Inclusion checked with probability 0.995 in 0.004972652 seconds [ Info: The search for identifiable functions concluded in 0.04474906 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 0.0072607 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00621895 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 2.3079e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.020541313 [ Info: Selecting generators in 0.006926873 [ Info: Inclusion checked with probability 0.995 in 0.005146401 seconds [ Info: The search for identifiable functions concluded in 0.068198986 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 0.007731186 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006227351 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 2.311e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.019694691 [ Info: Selecting generators in 0.006712835 [ Info: Inclusion checked with probability 0.995 in 0.00520887 seconds [ Info: The search for identifiable functions concluded in 0.067335214 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 0.008516798 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.008364139 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 2.954e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.028329599 [ Info: Selecting generators in 0.009718617 [ Info: Inclusion checked with probability 0.995 in 0.006917924 seconds [ Info: The search for identifiable functions concluded in 0.091572512 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 0.009873975 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005784334 seconds [ Info: Dimensions of the Wronskians [8] [ Info: Ranks of the Wronskians computed in 2.131e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000188129 [ Info: Selecting generators in 0.031896514 [ Info: Inclusion checked with probability 0.995 in 0.009739086 seconds [ Info: The search for identifiable functions concluded in 1.35199872 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 0.010115893 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007049252 seconds [ Info: Dimensions of the Wronskians [8] [ Info: Ranks of the Wronskians computed in 1.82e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000141558 [ Info: Selecting generators in 0.023444035 [ Info: Inclusion checked with probability 0.995 in 0.009001324 seconds [ Info: The search for identifiable functions concluded in 0.323151421 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 0.007594947 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004546597 seconds [ Info: Dimensions of the Wronskians [8] [ Info: Ranks of the Wronskians computed in 1.708e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000133088 [ Info: Selecting generators in 0.022613554 [ Info: Inclusion checked with probability 0.995 in 0.008497928 seconds [ Info: The search for identifiable functions concluded in 0.301157551 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 0.007223301 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004346708 seconds [ Info: Dimensions of the Wronskians [8] [ Info: Ranks of the Wronskians computed in 1.725e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 2.08483818 [ Info: Selecting generators in 0.04166563 [ Info: Inclusion checked with probability 0.995 in 0.008674446 seconds [ Info: The search for identifiable functions concluded in 2.393025654 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 0.007786686 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004699235 seconds [ Info: Dimensions of the Wronskians [8] [ Info: Ranks of the Wronskians computed in 1.6209e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.201483287 [ Info: Selecting generators in 0.036695848 [ Info: Inclusion checked with probability 0.995 in 0.008470419 seconds [ Info: The search for identifiable functions concluded in 1.138751906 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 0.007448319 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004476617 seconds [ Info: Dimensions of the Wronskians [8] [ Info: Ranks of the Wronskians computed in 2.142e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.81830203 [ Info: Selecting generators in 0.077781034 [ Info: Inclusion checked with probability 0.995 in 0.028585296 seconds [ Info: The search for identifiable functions concluded in 1.189160293 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 0.025471945 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.01560209 seconds [ Info: Dimensions of the Wronskians [3, 36] [ Info: Ranks of the Wronskians computed in 9.0429e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000123789 [ Info: Selecting generators in 0.009058483 [ Info: Inclusion checked with probability 0.995 in 0.013921997 seconds [ Info: The search for identifiable functions concluded in 0.107089303 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 0.020956059 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.014515931 seconds [ Info: Dimensions of the Wronskians [3, 36] [ Info: Ranks of the Wronskians computed in 8.1169e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000107869 [ Info: Selecting generators in 0.00836265 [ Info: Inclusion checked with probability 0.995 in 0.012899906 seconds [ Info: The search for identifiable functions concluded in 0.097099299 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 0.020672881 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.01349391 seconds [ Info: Dimensions of the Wronskians [3, 36] [ Info: Ranks of the Wronskians computed in 8.6619e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000103599 [ Info: Selecting generators in 0.007679277 [ Info: Inclusion checked with probability 0.995 in 0.012556039 seconds [ Info: The search for identifiable functions concluded in 0.092271305 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 0.019481173 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.013396412 seconds [ Info: Dimensions of the Wronskians [3, 36] [ Info: Ranks of the Wronskians computed in 8.103e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.045506413 [ Info: Selecting generators in 0.012998145 [ Info: Inclusion checked with probability 0.995 in 0.012082685 seconds [ Info: The search for identifiable functions concluded in 0.143440514 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 0.01873797 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.013404222 seconds [ Info: Dimensions of the Wronskians [3, 36] [ Info: Ranks of the Wronskians computed in 8.045e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.04476608 [ Info: Selecting generators in 0.013894246 [ Info: Inclusion checked with probability 0.995 in 0.012421591 seconds [ Info: The search for identifiable functions concluded in 0.142260385 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 0.01876893 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.012785238 seconds [ Info: Dimensions of the Wronskians [3, 36] [ Info: Ranks of the Wronskians computed in 8.098e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.043053527 [ Info: Selecting generators in 0.013602529 [ Info: Inclusion checked with probability 0.995 in 0.012227663 seconds [ Info: The search for identifiable functions concluded in 0.137147264 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 0.009837315 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.012748258 seconds [ Info: Dimensions of the Wronskians [32] [ Info: Ranks of the Wronskians computed in 6.721e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000150099 [ Info: Selecting generators in 0.083054833 [ Info: Inclusion checked with probability 0.995 in 0.016421953 seconds [ Info: The search for identifiable functions concluded in 1.234523468 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 0.011071853 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.014286693 seconds [ Info: Dimensions of the Wronskians [32] [ Info: Ranks of the Wronskians computed in 6.4929e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000134929 [ Info: Selecting generators in 0.074138859 [ Info: Inclusion checked with probability 0.995 in 0.015884588 seconds [ Info: The search for identifiable functions concluded in 0.479631259 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 0.010170802 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.013766308 seconds [ Info: Dimensions of the Wronskians [32] [ Info: Ranks of the Wronskians computed in 6.7739e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000147539 [ Info: Selecting generators in 0.080352179 [ Info: Inclusion checked with probability 0.995 in 0.019488553 seconds [ Info: The search for identifiable functions concluded in 0.500526008 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 0.011762737 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.016894478 seconds [ Info: Dimensions of the Wronskians [32] [ Info: Ranks of the Wronskians computed in 7.3849e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.315851288 [ Info: Selecting generators in 0.112497431 [ Info: Inclusion checked with probability 0.995 in 0.018054067 seconds [ Info: The search for identifiable functions concluded in 1.91703935 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 0.013666239 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.017023807 seconds [ Info: Dimensions of the Wronskians [32] [ Info: Ranks of the Wronskians computed in 6.9489e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.100530846 [ Info: Selecting generators in 0.0864604 [ Info: Inclusion checked with probability 0.995 in 0.015935827 seconds [ Info: The search for identifiable functions concluded in 0.639545225 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 0.010972655 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.015164864 seconds [ Info: Dimensions of the Wronskians [32] [ Info: Ranks of the Wronskians computed in 7.127e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.411727897 [ Info: Selecting generators in 0.08864233 [ Info: Inclusion checked with probability 0.995 in 0.018433813 seconds [ Info: The search for identifiable functions concluded in 1.939615814 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 3.289696043 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.138193944 seconds [ Info: Dimensions of the Wronskians [34, 2] [ Info: Ranks of the Wronskians computed in 8.76e-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: 5   ⌝ # Computing specializations.. Time: 0:00:00 Points: 14   ⌟ # Computing specializations.. Time: 0:00:01 Points: 21   ⌞ # Computing specializations.. Time: 0:00:01 Points: 29   ⌜ # Computing specializations.. Time: 0:00:01 Points: 37   ⌝ # Computing specializations.. Time: 0:00:02 Points: 45   ⌟ # Computing specializations.. Time: 0:00:02 Points: 53   ⌞ # Computing specializations.. Time: 0:00:02 Points: 61   ⌜ # Computing specializations.. Time: 0:00:03 Points: 69   ⌝ # Computing specializations.. Time: 0:00:03 Points: 78   ⌟ # Computing specializations.. Time: 0:00:04 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: 16   ⌟ # Computing specializations.. Time: 0:00:01 Points: 25   ⌞ # Computing specializations.. Time: 0:00:01 Points: 34   ⌜ # Computing specializations.. Time: 0:00:02 Points: 43   ⌝ # Computing specializations.. Time: 0:00:02 Points: 51   ⌟ # Computing specializations.. Time: 0:00:02 Points: 59   ⌞ # Computing specializations.. Time: 0:00:03 Points: 67   ⌜ # Computing specializations.. Time: 0:00:03 Points: 75   ⌝ # Computing specializations.. Time: 0:00:04 Points: 83   ⌟ # Computing specializations.. Time: 0:00:04 Points: 91   ⌞ # Computing specializations.. Time: 0:00:04 Points: 99   ⌜ # Computing specializations.. Time: 0:00:05 Points: 107   ⌝ # Computing specializations.. Time: 0:00:05 Points: 115   ⌟ # Computing specializations.. Time: 0:00:06 Points: 124   ⌞ # Computing specializations.. Time: 0:00:06 Points: 132   ⌜ # Computing specializations.. Time: 0:00:06 Points: 141   ⌝ # Computing specializations.. Time: 0:00:07 Points: 149   ⌟ # Computing specializations.. Time: 0:00:07 Points: 157   ⌞ # Computing specializations.. Time: 0:00:08 Points: 165   ⌜ # Computing specializations.. Time: 0:00:08 Points: 171   ⌝ # Computing specializations.. Time: 0:00:08 Points: 179   ⌟ # Computing specializations.. Time: 0:00:09 Points: 187   ⌞ # Computing specializations.. Time: 0:00:09 Points: 195   ⌜ # Computing specializations.. Time: 0:00:10 Points: 203   ⌝ # Computing specializations.. Time: 0:00:10 Points: 211   ⌟ # Computing specializations.. Time: 0:00:10 Points: 219   ⌞ # Computing specializations.. Time: 0:00:11 Points: 227   ⌜ # Computing specializations.. Time: 0:00:11 Points: 235   ⌝ # Computing specializations.. Time: 0:00:11 Points: 244   ⌟ # Computing specializations.. Time: 0:00:12 Points: 252   ⌞ # Computing specializations.. Time: 0:00:13 Points: 261   ⌜ # Computing specializations.. Time: 0:00:13 Points: 269   ⌝ # Computing specializations.. Time: 0:00:13 Points: 276   ⌟ # Computing specializations.. Time: 0:00:14 Points: 284   ⌞ # Computing specializations.. Time: 0:00:14 Points: 292   ⌜ # Computing specializations.. Time: 0:00:15 Points: 298   ⌝ # Computing specializations.. Time: 0:00:15 Points: 306   ⌟ # Computing specializations.. Time: 0:00:15 Points: 314   ⌞ # Computing specializations.. Time: 0:00:16 Points: 322   ⌜ # Computing specializations.. Time: 0:00:16 Points: 329   ⌝ # Computing specializations.. Time: 0:00:16 Points: 337   ⌟ # Computing specializations.. Time: 0:00:17 Points: 345   ⌞ # Computing specializations.. Time: 0:00:17 Points: 353   ⌜ # Computing specializations.. Time: 0:00:18 Points: 361   ⌝ # Computing specializations.. Time: 0:00:18 Points: 369   ⌟ # Computing specializations.. Time: 0:00:18 Points: 378   ⌞ # Computing specializations.. Time: 0:00:19 Points: 385   ⌜ # Computing specializations.. Time: 0:00:19 Points: 392   ⌝ # Computing specializations.. Time: 0:00:19 Points: 400   ⌟ # Computing specializations.. Time: 0:00:20 Points: 408   ⌞ # Computing specializations.. Time: 0:00:20 Points: 417   ⌜ # Computing specializations.. Time: 0:00:21 Points: 424   ⌝ # Computing specializations.. Time: 0:00:21 Points: 433   ⌟ # Computing specializations.. Time: 0:00:21 Points: 440   ⌞ # Computing specializations.. Time: 0:00:22 Points: 451   ⌜ # Computing specializations.. Time: 0:00:22 Points: 461   ⌝ # Computing specializations.. Time: 0:00:22 Points: 469   ⌟ # Computing specializations.. Time: 0:00:23 Points: 477   ⌞ # Computing specializations.. Time: 0:00:23 Points: 486   ⌜ # Computing specializations.. Time: 0:00:24 Points: 494   ⌝ # Computing specializations.. Time: 0:00:25 Points: 503   ⌟ # Computing specializations.. Time: 0:00:25 Points: 511   ⌞ # Computing specializations.. Time: 0:00:25 Points: 521   ⌜ # Computing specializations.. Time: 0:00:25 Points: 532   ⌝ # Computing specializations.. Time: 0:00:26 Points: 542   ⌟ # Computing specializations.. Time: 0:00:26 Points: 553   ⌞ # Computing specializations.. Time: 0:00:27 Points: 563   ⌜ # Computing specializations.. Time: 0:00:27 Points: 573   ⌝ # Computing specializations.. Time: 0:00:27 Points: 584   ⌟ # Computing specializations.. Time: 0:00:28 Points: 593   ⌞ # Computing specializations.. Time: 0:00:28 Points: 604   ⌜ # Computing specializations.. Time: 0:00:29 Points: 613   ⌝ # Computing specializations.. Time: 0:00:29 Points: 623   ⌟ # Computing specializations.. Time: 0:00:29 Points: 634   ✓ # Computing specializations.. Time: 0:00:30 [ Info: Search for polynomial generators concluded in 0.000244298 [ Info: Selecting generators in 0.044129967 [ Info: Inclusion checked with probability 0.995 in 8.782217634 seconds [ Info: The search for identifiable functions concluded in 63.383154747 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 2.711861376 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.074667324 seconds [ Info: Dimensions of the Wronskians [34, 2] [ Info: Ranks of the Wronskians computed in 9.2989e-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: 18   ⌟ # Computing specializations.. Time: 0:00:01 Points: 27   ⌞ # Computing specializations.. Time: 0:00:01 Points: 34   ⌜ # Computing specializations.. Time: 0:00:01 Points: 43   ⌝ # Computing specializations.. Time: 0:00:02 Points: 50   ⌟ # Computing specializations.. Time: 0:00:02 Points: 59   ⌞ # Computing specializations.. Time: 0:00:03 Points: 68   ⌜ # Computing specializations.. Time: 0:00:03 Points: 77   ⌝ # Computing specializations.. Time: 0:00:04 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: 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: 42   ⌝ # Computing specializations.. Time: 0:00:02 Points: 51   ⌟ # Computing specializations.. Time: 0:00:02 Points: 59   ⌞ # Computing specializations.. Time: 0:00:03 Points: 68   ⌜ # Computing specializations.. Time: 0:00:03 Points: 75   ⌝ # Computing specializations.. Time: 0:00:03 Points: 84   ⌟ # Computing specializations.. Time: 0:00:04 Points: 91   ⌞ # Computing specializations.. Time: 0:00:04 Points: 100   ⌜ # Computing specializations.. Time: 0:00:04 Points: 108   ⌝ # Computing specializations.. Time: 0:00:05 Points: 117   ⌟ # Computing specializations.. Time: 0:00:05 Points: 126   ⌞ # Computing specializations.. Time: 0:00:06 Points: 137   ⌜ # 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: 181   ⌝ # Computing specializations.. Time: 0:00:08 Points: 190   ⌟ # Computing specializations.. Time: 0:00:08 Points: 200   ⌞ # Computing specializations.. Time: 0:00:09 Points: 210   ⌜ # Computing specializations.. Time: 0:00:09 Points: 218   ⌝ # Computing specializations.. Time: 0:00:10 Points: 228   ⌟ # Computing specializations.. Time: 0:00:10 Points: 237   ⌞ # 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: 0:00:11 Points: 274   ⌞ # Computing specializations.. Time: 0:00:12 Points: 283   ⌜ # Computing specializations.. Time: 0:00:12 Points: 293   ⌝ # Computing specializations.. Time: 0:00:13 Points: 301   ⌟ # Computing specializations.. Time: 0:00:13 Points: 311   ⌞ # Computing specializations.. Time: 0:00:13 Points: 321   ⌜ # Computing specializations.. Time: 0:00:14 Points: 331   ⌝ # Computing specializations.. Time: 0:00:14 Points: 342   ⌟ # Computing specializations.. Time: 0:00:14 Points: 351   ⌞ # Computing specializations.. Time: 0:00:15 Points: 361   ⌜ # Computing specializations.. Time: 0:00:15 Points: 369   ⌝ # Computing specializations.. Time: 0:00:16 Points: 379   ⌟ # Computing specializations.. Time: 0:00:16 Points: 390   ⌞ # Computing specializations.. Time: 0:00:17 Points: 400   ⌜ # Computing specializations.. Time: 0:00:17 Points: 410   ⌝ # Computing specializations.. Time: 0:00:17 Points: 420   ⌟ # Computing specializations.. Time: 0:00:18 Points: 430   ⌞ # Computing specializations.. Time: 0:00:18 Points: 441   ⌜ # Computing specializations.. Time: 0:00:19 Points: 450   ⌝ # Computing specializations.. Time: 0:00:19 Points: 459   ⌟ # Computing specializations.. Time: 0:00:19 Points: 469   ⌞ # Computing specializations.. Time: 0:00:20 Points: 477   ⌜ # Computing specializations.. Time: 0:00:20 Points: 487   ⌝ # Computing specializations.. Time: 0:00:20 Points: 497   ⌟ # Computing specializations.. Time: 0:00:21 Points: 507   ⌞ # Computing specializations.. Time: 0:00:21 Points: 517   ⌜ # Computing specializations.. Time: 0:00:22 Points: 527   ⌝ # Computing specializations.. Time: 0:00:22 Points: 538   ⌟ # Computing specializations.. Time: 0:00:22 Points: 550   ⌞ # Computing specializations.. Time: 0:00:23 Points: 560   ⌜ # Computing specializations.. Time: 0:00:23 Points: 571   ⌝ # Computing specializations.. Time: 0:00:23 Points: 583   ⌟ # Computing specializations.. Time: 0:00:24 Points: 593   ⌞ # Computing specializations.. Time: 0:00:24 Points: 605   ⌜ # Computing specializations.. Time: 0:00:25 Points: 616   ⌝ # Computing specializations.. Time: 0:00:25 Points: 625   ⌟ # Computing specializations.. Time: 0:00:25 Points: 636   ✓ # Computing specializations.. Time: 0:00:26 [ Info: Search for polynomial generators concluded in 0.000303748 [ Info: Selecting generators in 0.032253141 [ Info: Inclusion checked with probability 0.995 in 8.066355912 seconds [ Info: The search for identifiable functions concluded in 56.5241552 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 3.050942493 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.074191658 seconds [ Info: Dimensions of the Wronskians [34, 2] [ Info: Ranks of the Wronskians computed in 9.5349e-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: 4   ⌝ # Computing specializations.. Time: 0:00:00 Points: 12   ⌟ # Computing specializations.. Time: 0:00:01 Points: 20   ⌞ # Computing specializations.. Time: 0:00:01 Points: 28   ⌜ # Computing specializations.. Time: 0:00:02 Points: 35   ⌝ # Computing specializations.. Time: 0:00:02 Points: 42   ⌟ # Computing specializations.. Time: 0:00:02 Points: 49   ⌞ # Computing specializations.. Time: 0:00:03 Points: 56   ⌜ # Computing specializations.. Time: 0:00:03 Points: 64   ⌝ # Computing specializations.. Time: 0:00:04 Points: 72   ⌟ # Computing specializations.. Time: 0:00:04 Points: 79   ⌞ # Computing specializations.. Time: 0:00:04 Points: 87   ⌜ # Computing specializations.. Time: 0:00:05 Points: 95   ✓ # Computing specializations.. Time: 0:00:05 ⌜ # 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: 5   ⌝ # Computing specializations.. Time: 0:00:00 Points: 13   ⌟ # Computing specializations.. Time: 0:00:01 Points: 19   ⌞ # Computing specializations.. Time: 0:00:01 Points: 27   ⌜ # Computing specializations.. Time: 0:00:01 Points: 33   ⌝ # Computing specializations.. Time: 0:00:02 Points: 41   ⌟ # Computing specializations.. Time: 0:00:02 Points: 49   ⌞ # Computing specializations.. Time: 0:00:02 Points: 57   ⌜ # Computing specializations.. Time: 0:00:03 Points: 64   ⌝ # Computing specializations.. Time: 0:00:03 Points: 72   ⌟ # Computing specializations.. Time: 0:00:04 Points: 80   ⌞ # Computing specializations.. Time: 0:00:04 Points: 88   ⌜ # Computing specializations.. Time: 0:00:05 Points: 95   ⌝ # Computing specializations.. Time: 0:00:05 Points: 103   ⌟ # Computing specializations.. Time: 0:00:05 Points: 111   ⌞ # Computing specializations.. Time: 0:00:06 Points: 117   ⌜ # Computing specializations.. Time: 0:00:06 Points: 125   ⌝ # Computing specializations.. Time: 0:00:07 Points: 133   ⌟ # Computing specializations.. Time: 0:00:07 Points: 140   ⌞ # Computing specializations.. Time: 0:00:08 Points: 148   ⌜ # Computing specializations.. Time: 0:00:08 Points: 156   ⌝ # Computing specializations.. Time: 0:00:08 Points: 163   ⌟ # Computing specializations.. Time: 0:00:09 Points: 171   ⌞ # Computing specializations.. Time: 0:00:09 Points: 178   ⌜ # Computing specializations.. Time: 0:00:10 Points: 186   ⌝ # Computing specializations.. Time: 0:00:10 Points: 193   ⌟ # Computing specializations.. Time: 0:00:10 Points: 200   ⌞ # Computing specializations.. Time: 0:00:11 Points: 207   ⌜ # Computing specializations.. Time: 0:00:11 Points: 214   ⌝ # Computing specializations.. Time: 0:00:11 Points: 222   ⌟ # Computing specializations.. Time: 0:00:12 Points: 230   ⌞ # Computing specializations.. Time: 0:00:12 Points: 238   ⌜ # Computing specializations.. Time: 0:00:12 Points: 244   ⌝ # Computing specializations.. Time: 0:00:13 Points: 251   ⌟ # Computing specializations.. Time: 0:00:13 Points: 258   ⌞ # Computing specializations.. Time: 0:00:14 Points: 266   ⌜ # Computing specializations.. Time: 0:00:14 Points: 273   ⌝ # Computing specializations.. Time: 0:00:14 Points: 281   ⌟ # Computing specializations.. Time: 0:00:15 Points: 288   ⌞ # Computing specializations.. Time: 0:00:15 Points: 296   ⌜ # Computing specializations.. Time: 0:00:16 Points: 302   ⌝ # Computing specializations.. Time: 0:00:16 Points: 310   ⌟ # Computing specializations.. Time: 0:00:16 Points: 318   ⌞ # Computing specializations.. Time: 0:00:17 Points: 325   ⌜ # Computing specializations.. Time: 0:00:18 Points: 332   ⌝ # Computing specializations.. Time: 0:00:18 Points: 340   ⌟ # Computing specializations.. Time: 0:00:18 Points: 348   ⌞ # Computing specializations.. Time: 0:00:19 Points: 356   ⌜ # Computing specializations.. Time: 0:00:19 Points: 363   ⌝ # Computing specializations.. Time: 0:00:20 Points: 371   ⌟ # Computing specializations.. Time: 0:00:20 Points: 379   ⌞ # Computing specializations.. Time: 0:00:20 Points: 386   ⌜ # Computing specializations.. Time: 0:00:21 Points: 393   ⌝ # Computing specializations.. Time: 0:00:21 Points: 401   ⌟ # Computing specializations.. Time: 0:00:21 Points: 409   ⌞ # Computing specializations.. Time: 0:00:22 Points: 415   ⌜ # Computing specializations.. Time: 0:00:22 Points: 423   ⌝ # Computing specializations.. Time: 0:00:23 Points: 431   ⌟ # Computing specializations.. Time: 0:00:23 Points: 438   ⌞ # Computing specializations.. Time: 0:00:23 Points: 446   ⌜ # Computing specializations.. Time: 0:00:24 Points: 453   ⌝ # Computing specializations.. Time: 0:00:24 Points: 461   ⌟ # Computing specializations.. Time: 0:00:25 Points: 469   ⌞ # Computing specializations.. Time: 0:00:25 Points: 477   ⌜ # Computing specializations.. Time: 0:00:25 Points: 485   ⌝ # Computing specializations.. Time: 0:00:26 Points: 493   ⌟ # Computing specializations.. Time: 0:00:26 Points: 501   ⌞ # Computing specializations.. Time: 0:00:27 Points: 509   ⌜ # Computing specializations.. Time: 0:00:27 Points: 517   ⌝ # Computing specializations.. Time: 0:00:27 Points: 525   ⌟ # Computing specializations.. Time: 0:00:28 Points: 533   ⌞ # Computing specializations.. Time: 0:00:28 Points: 541   ⌜ # Computing specializations.. Time: 0:00:29 Points: 549   ⌝ # Computing specializations.. Time: 0:00:29 Points: 557   ⌟ # Computing specializations.. Time: 0:00:29 Points: 565   ⌞ # Computing specializations.. Time: 0:00:30 Points: 574   ⌜ # Computing specializations.. Time: 0:00:31 Points: 582   ⌝ # Computing specializations.. Time: 0:00:31 Points: 590   ⌟ # Computing specializations.. Time: 0:00:31 Points: 598   ⌞ # Computing specializations.. Time: 0:00:32 Points: 605   ⌜ # Computing specializations.. Time: 0:00:32 Points: 613   ⌝ # Computing specializations.. Time: 0:00:32 Points: 621   ⌟ # Computing specializations.. Time: 0:00:33 Points: 628   ⌞ # Computing specializations.. Time: 0:00:33 Points: 636   ✓ # Computing specializations.. Time: 0:00:34 [ Info: Search for polynomial generators concluded in 0.000359626 [ Info: Selecting generators in 0.062666623 [ Info: Inclusion checked with probability 0.995 in 7.399239236 seconds [ Info: The search for identifiable functions concluded in 74.812575068 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 2.43954917 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.052509858 seconds [ Info: Dimensions of the Wronskians [34, 2] [ Info: Ranks of the Wronskians computed in 7.5999e-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 Points: 7   ⌝ # Computing specializations.. Time: 0:00:00 Points: 18   ⌟ # Computing specializations.. Time: 0:00:01 Points: 29   ⌞ # Computing specializations.. Time: 0:00:01 Points: 39   ⌜ # Computing specializations.. Time: 0:00:01 Points: 50   ⌝ # Computing specializations.. Time: 0:00:02 Points: 61   ⌟ # Computing specializations.. Time: 0:00:02 Points: 72   ⌞ # Computing specializations.. Time: 0:00:02 Points: 83   ⌜ # Computing specializations.. Time: 0:00:03 Points: 93   ✓ # Computing specializations.. Time: 0:00:03 ⌜ # 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: 14   ⌟ # Computing specializations.. Time: 0:00:01 Points: 23   ⌞ # Computing specializations.. Time: 0:00:01 Points: 30   ⌜ # Computing specializations.. Time: 0:00:01 Points: 39   ⌝ # Computing specializations.. Time: 0:00:02 Points: 47   ⌟ # Computing specializations.. Time: 0:00:02 Points: 53   ⌞ # Computing specializations.. Time: 0:00:03 Points: 62   ⌜ # Computing specializations.. Time: 0:00:03 Points: 69   ⌝ # Computing specializations.. Time: 0:00:04 Points: 78   ⌟ # Computing specializations.. Time: 0:00:04 Points: 87   ⌞ # Computing specializations.. Time: 0:00:04 Points: 95   ⌜ # Computing specializations.. Time: 0:00:05 Points: 103   ⌝ # Computing specializations.. Time: 0:00:05 Points: 112   ⌟ # Computing specializations.. Time: 0:00:06 Points: 121   ⌞ # Computing specializations.. Time: 0:00:06 Points: 130   ⌜ # Computing specializations.. Time: 0:00:06 Points: 138   ⌝ # Computing specializations.. Time: 0:00:07 Points: 147   ⌟ # Computing specializations.. Time: 0:00:07 Points: 154   ⌞ # Computing specializations.. Time: 0:00:08 Points: 163   ⌜ # Computing specializations.. Time: 0:00:08 Points: 171   ⌝ # Computing specializations.. Time: 0:00:08 Points: 179   ⌟ # Computing specializations.. Time: 0:00:09 Points: 188   ⌞ # Computing specializations.. Time: 0:00:09 Points: 195   ⌜ # Computing specializations.. Time: 0:00:10 Points: 204   ⌝ # Computing specializations.. Time: 0:00:10 Points: 212   ⌟ # Computing specializations.. Time: 0:00:10 Points: 220   ⌞ # Computing specializations.. Time: 0:00:11 Points: 228   ⌜ # Computing specializations.. Time: 0:00:11 Points: 236   ⌝ # Computing specializations.. Time: 0:00:11 Points: 245   ⌟ # Computing specializations.. Time: 0:00:12 Points: 254   ⌞ # Computing specializations.. Time: 0:00:12 Points: 262   ⌜ # Computing specializations.. Time: 0:00:13 Points: 270   ⌝ # Computing specializations.. Time: 0:00:13 Points: 278   ⌟ # Computing specializations.. Time: 0:00:13 Points: 287   ⌞ # Computing specializations.. Time: 0:00:14 Points: 294   ⌜ # Computing specializations.. Time: 0:00:14 Points: 302   ⌝ # Computing specializations.. Time: 0:00:14 Points: 310   ⌟ # Computing specializations.. Time: 0:00:15 Points: 317   ⌞ # Computing specializations.. Time: 0:00:15 Points: 325   ⌜ # Computing specializations.. Time: 0:00:16 Points: 333   ⌝ # Computing specializations.. Time: 0:00:17 Points: 342   ⌟ # Computing specializations.. Time: 0:00:17 Points: 350   ⌞ # Computing specializations.. Time: 0:00:17 Points: 358   ⌜ # Computing specializations.. Time: 0:00:18 Points: 366   ⌝ # Computing specializations.. Time: 0:00:18 Points: 375   ⌟ # Computing specializations.. Time: 0:00:19 Points: 382   ⌞ # Computing specializations.. Time: 0:00:19 Points: 391   ⌜ # Computing specializations.. Time: 0:00:19 Points: 399   ⌝ # Computing specializations.. Time: 0:00:19 Points: 408   ⌟ # Computing specializations.. Time: 0:00:20 Points: 417   ⌞ # Computing specializations.. Time: 0:00:20 Points: 425   ⌜ # Computing specializations.. Time: 0:00:21 Points: 433   ⌝ # Computing specializations.. Time: 0:00:21 Points: 441   ⌟ # Computing specializations.. Time: 0:00:22 Points: 449   ⌞ # Computing specializations.. Time: 0:00:22 Points: 457   ⌜ # Computing specializations.. Time: 0:00:22 Points: 464   ⌝ # Computing specializations.. Time: 0:00:23 Points: 472   ⌟ # Computing specializations.. Time: 0:00:23 Points: 480   ⌞ # Computing specializations.. Time: 0:00:24 Points: 489   ⌜ # Computing specializations.. Time: 0:00:24 Points: 497   ⌝ # Computing specializations.. Time: 0:00:24 Points: 504   ⌟ # Computing specializations.. Time: 0:00:25 Points: 512   ⌞ # Computing specializations.. Time: 0:00:25 Points: 520   ⌜ # Computing specializations.. Time: 0:00:25 Points: 529   ⌝ # Computing specializations.. Time: 0:00:26 Points: 537   ⌟ # Computing specializations.. Time: 0:00:26 Points: 546   ⌞ # Computing specializations.. Time: 0:00:26 Points: 554   ⌜ # Computing specializations.. Time: 0:00:27 Points: 562   ⌝ # Computing specializations.. Time: 0:00:27 Points: 570   ⌟ # Computing specializations.. Time: 0:00:28 Points: 578   ⌞ # Computing specializations.. Time: 0:00:28 Points: 587   ⌜ # Computing specializations.. Time: 0:00:29 Points: 595   ⌝ # Computing specializations.. Time: 0:00:29 Points: 604   ⌟ # Computing specializations.. Time: 0:00:30 Points: 613   ⌞ # Computing specializations.. Time: 0:00:30 Points: 621   ⌜ # Computing specializations.. Time: 0:00:30 Points: 629   ⌝ # Computing specializations.. Time: 0:00:31 Points: 638   ✓ # Computing specializations.. Time: 0:00:32 [ Info: Search for polynomial generators concluded in 2.215213286 [ Info: Selecting generators in 0.035993173 [ Info: Inclusion checked with probability 0.995 in 8.547834586 seconds [ Info: The search for identifiable functions concluded in 62.689150027 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 3.517937064 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.078677922 seconds [ Info: Dimensions of the Wronskians [34, 2] [ Info: Ranks of the Wronskians computed in 0.000104279 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: 31   ⌜ # Computing specializations.. Time: 0:00:01 Points: 39   ⌝ # Computing specializations.. Time: 0:00:02 Points: 47   ⌟ # 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: 87   ⌞ # Computing specializations.. Time: 0:00:04 Points: 95   ✓ # 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: 15   ⌟ # Computing specializations.. Time: 0:00:01 Points: 24   ⌞ # Computing specializations.. Time: 0:00:01 Points: 31   ⌜ # Computing specializations.. Time: 0:00:01 Points: 40   ⌝ # Computing specializations.. Time: 0:00:02 Points: 48   ⌟ # Computing specializations.. Time: 0:00:03 Points: 55   ⌞ # Computing specializations.. Time: 0:00:03 Points: 64   ⌜ # Computing specializations.. Time: 0:00:03 Points: 72   ⌝ # Computing specializations.. Time: 0:00:04 Points: 80   ⌟ # Computing specializations.. Time: 0:00:04 Points: 88   ⌞ # Computing specializations.. Time: 0:00:04 Points: 96   ⌜ # Computing specializations.. Time: 0:00:05 Points: 104   ⌝ # 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: 170   ⌝ # 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: 210   ⌟ # Computing specializations.. Time: 0:00:10 Points: 218   ⌞ # Computing specializations.. Time: 0:00:11 Points: 227   ⌜ # Computing specializations.. Time: 0:00:11 Points: 234   ⌝ # Computing specializations.. Time: 0:00:12 Points: 243   ⌟ # Computing specializations.. Time: 0:00:12 Points: 251   ⌞ # Computing specializations.. Time: 0:00:12 Points: 259   ⌜ # Computing specializations.. Time: 0:00:13 Points: 267   ⌝ # Computing specializations.. Time: 0:00:13 Points: 275   ⌟ # Computing specializations.. Time: 0:00:13 Points: 284   ⌞ # Computing specializations.. Time: 0:00:14 Points: 291   ⌜ # Computing specializations.. Time: 0:00:14 Points: 300   ⌝ # Computing specializations.. Time: 0:00:15 Points: 308   ⌟ # Computing specializations.. Time: 0:00:15 Points: 317   ⌞ # Computing specializations.. Time: 0:00:15 Points: 325   ⌜ # Computing specializations.. Time: 0:00:16 Points: 332   ⌝ # Computing specializations.. Time: 0:00:17 Points: 341   ⌟ # Computing specializations.. Time: 0:00:17 Points: 349   ⌞ # Computing specializations.. Time: 0:00:17 Points: 357   ⌜ # Computing specializations.. Time: 0:00:18 Points: 365   ⌝ # Computing specializations.. Time: 0:00:18 Points: 374   ⌟ # Computing specializations.. Time: 0:00:19 Points: 381   ⌞ # Computing specializations.. Time: 0:00:19 Points: 390   ⌜ # Computing specializations.. Time: 0:00:19 Points: 399   ⌝ # Computing specializations.. Time: 0:00:20 Points: 407   ⌟ # Computing specializations.. Time: 0:00:20 Points: 415   ⌞ # Computing specializations.. Time: 0:00:21 Points: 424   ⌜ # Computing specializations.. Time: 0:00:21 Points: 432   ⌝ # Computing specializations.. Time: 0:00:21 Points: 439   ⌟ # Computing specializations.. Time: 0:00:22 Points: 448   ⌞ # Computing specializations.. Time: 0:00:22 Points: 456   ⌜ # Computing specializations.. Time: 0:00:23 Points: 464   ⌝ # Computing specializations.. Time: 0:00:23 Points: 473   ⌟ # Computing specializations.. Time: 0:00:23 Points: 481   ⌞ # Computing specializations.. Time: 0:00:24 Points: 489   ⌜ # Computing specializations.. Time: 0:00:24 Points: 497   ⌝ # Computing specializations.. Time: 0:00:24 Points: 504   ⌟ # Computing specializations.. Time: 0:00:25 Points: 513   ⌞ # Computing specializations.. Time: 0:00:25 Points: 520   ⌜ # Computing specializations.. Time: 0:00:26 Points: 529   ⌝ # Computing specializations.. Time: 0:00:26 Points: 537   ⌟ # Computing specializations.. Time: 0:00:26 Points: 545   ⌞ # Computing specializations.. Time: 0:00:27 Points: 553   ⌜ # Computing specializations.. Time: 0:00:27 Points: 561   ⌝ # Computing specializations.. Time: 0:00:28 Points: 570   ⌟ # Computing specializations.. Time: 0:00:28 Points: 577   ⌞ # Computing specializations.. Time: 0:00:28 Points: 586   ⌜ # Computing specializations.. Time: 0:00:29 Points: 594   ⌝ # Computing specializations.. Time: 0:00:29 Points: 600   ⌟ # Computing specializations.. Time: 0:00:29 Points: 609   ⌞ # Computing specializations.. Time: 0:00:30 Points: 617   ⌜ # Computing specializations.. Time: 0:00:31 Points: 626   ⌝ # Computing specializations.. Time: 0:00:31 Points: 634   ✓ # Computing specializations.. Time: 0:00:32 [ Info: Search for polynomial generators concluded in 3.488347601 [ Info: Selecting generators in 0.050800363 [ Info: Inclusion checked with probability 0.995 in 8.964976056 seconds [ Info: The search for identifiable functions concluded in 68.927504091 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 3.40825702 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.074897408 seconds [ Info: Dimensions of the Wronskians [34, 2] [ Info: Ranks of the Wronskians computed in 0.000120969 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: 8   ⌝ # Computing specializations.. Time: 0:00:00 Points: 15   ⌟ # Computing specializations.. Time: 0:00:01 Points: 22   ⌞ # Computing specializations.. Time: 0:00:01 Points: 30   ⌜ # Computing specializations.. Time: 0:00:01 Points: 36   ⌝ # Computing specializations.. Time: 0:00:02 Points: 44   ⌟ # Computing specializations.. Time: 0:00:02 Points: 51   ⌞ # Computing specializations.. Time: 0:00:02 Points: 59   ⌜ # Computing specializations.. Time: 0:00:03 Points: 67   ⌝ # Computing specializations.. Time: 0:00:03 Points: 74   ⌟ # Computing specializations.. Time: 0:00:04 Points: 82   ⌞ # 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: 12   ⌟ # Computing specializations.. Time: 0:00:00 Points: 19   ⌞ # Computing specializations.. Time: 0:00:01 Points: 26   ⌜ # Computing specializations.. Time: 0:00:01 Points: 33   ⌝ # Computing specializations.. Time: 0:00:02 Points: 40   ⌟ # Computing specializations.. Time: 0:00:02 Points: 48   ⌞ # Computing specializations.. Time: 0:00:03 Points: 56   ⌜ # Computing specializations.. Time: 0:00:03 Points: 64   ⌝ # Computing specializations.. Time: 0:00:04 Points: 72   ⌟ # Computing specializations.. Time: 0:00:04 Points: 80   ⌞ # Computing specializations.. Time: 0:00:04 Points: 88   ⌜ # Computing specializations.. Time: 0:00:05 Points: 96   ⌝ # Computing specializations.. Time: 0:00:05 Points: 102   ⌟ # Computing specializations.. Time: 0:00:06 Points: 110   ⌞ # Computing specializations.. Time: 0:00:06 Points: 117   ⌜ # Computing specializations.. Time: 0:00:06 Points: 124   ⌝ # Computing specializations.. Time: 0:00:07 Points: 131   ⌟ # Computing specializations.. Time: 0:00:07 Points: 139   ⌞ # Computing specializations.. Time: 0:00:07 Points: 146   ⌜ # Computing specializations.. Time: 0:00:08 Points: 153   ⌝ # Computing specializations.. Time: 0:00:08 Points: 161   ⌟ # Computing specializations.. Time: 0:00:09 Points: 168   ⌞ # Computing specializations.. Time: 0:00:09 Points: 175   ⌜ # Computing specializations.. Time: 0:00:09 Points: 183   ⌝ # Computing specializations.. Time: 0:00:10 Points: 189   ⌟ # Computing specializations.. Time: 0:00:10 Points: 197   ⌞ # Computing specializations.. Time: 0:00:10 Points: 204   ⌜ # Computing specializations.. Time: 0:00:11 Points: 211   ⌝ # Computing specializations.. Time: 0:00:11 Points: 219   ⌟ # Computing specializations.. Time: 0:00:12 Points: 225   ⌞ # Computing specializations.. Time: 0:00:12 Points: 233   ⌜ # Computing specializations.. Time: 0:00:12 Points: 240   ⌝ # Computing specializations.. Time: 0:00:13 Points: 248   ⌟ # Computing specializations.. Time: 0:00:13 Points: 256   ⌞ # Computing specializations.. Time: 0:00:14 Points: 264   ⌜ # Computing specializations.. Time: 0:00:14 Points: 271   ⌝ # Computing specializations.. Time: 0:00:14 Points: 278   ⌟ # Computing specializations.. Time: 0:00:15 Points: 286   ⌞ # Computing specializations.. Time: 0:00:15 Points: 292   ⌜ # Computing specializations.. Time: 0:00:15 Points: 300   ⌝ # Computing specializations.. Time: 0:00:16 Points: 307   ⌟ # Computing specializations.. Time: 0:00:16 Points: 315   ⌞ # Computing specializations.. Time: 0:00:17 Points: 322   ⌜ # Computing specializations.. Time: 0:00:17 Points: 329   ⌝ # Computing specializations.. Time: 0:00:17 Points: 337   ⌟ # Computing specializations.. Time: 0:00:18 Points: 345   ⌞ # Computing specializations.. Time: 0:00:19 Points: 353   ⌜ # Computing specializations.. Time: 0:00:19 Points: 361   ⌝ # Computing specializations.. Time: 0:00:19 Points: 369   ⌟ # Computing specializations.. Time: 0:00:20 Points: 377   ⌞ # Computing specializations.. Time: 0:00:20 Points: 385   ⌜ # Computing specializations.. Time: 0:00:21 Points: 391   ⌝ # Computing specializations.. Time: 0:00:21 Points: 399   ⌟ # Computing specializations.. Time: 0:00:21 Points: 407   ⌞ # Computing specializations.. Time: 0:00:22 Points: 415   ⌜ # Computing specializations.. Time: 0:00:22 Points: 423   ⌝ # Computing specializations.. Time: 0:00:23 Points: 431   ⌟ # Computing specializations.. Time: 0:00:23 Points: 439   ⌞ # Computing specializations.. Time: 0:00:24 Points: 446   ⌜ # Computing specializations.. Time: 0:00:24 Points: 454   ⌝ # Computing specializations.. Time: 0:00:24 Points: 462   ⌟ # Computing specializations.. Time: 0:00:25 Points: 469   ⌞ # Computing specializations.. Time: 0:00:25 Points: 477   ⌜ # Computing specializations.. Time: 0:00:25 Points: 485   ⌝ # Computing specializations.. Time: 0:00:26 Points: 491   ⌟ # Computing specializations.. Time: 0:00:26 Points: 499   ⌞ # Computing specializations.. Time: 0:00:27 Points: 505   ⌜ # Computing specializations.. Time: 0:00:27 Points: 513   ⌝ # Computing specializations.. Time: 0:00:27 Points: 520   ⌟ # Computing specializations.. Time: 0:00:28 Points: 527   ⌞ # Computing specializations.. Time: 0:00:28 Points: 535   ⌜ # Computing specializations.. Time: 0:00:28 Points: 541   ⌝ # Computing specializations.. Time: 0:00:29 Points: 549   ⌟ # Computing specializations.. Time: 0:00:29 Points: 556   ⌞ # Computing specializations.. Time: 0:00:29 Points: 564   ⌜ # Computing specializations.. Time: 0:00:30 Points: 572   ⌝ # Computing specializations.. Time: 0:00:30 Points: 580   ⌟ # Computing specializations.. Time: 0:00:31 Points: 587   ⌞ # Computing specializations.. Time: 0:00:31 Points: 594   ⌜ # Computing specializations.. Time: 0:00:31 Points: 602   ⌝ # Computing specializations.. Time: 0:00:32 Points: 608   ⌟ # Computing specializations.. Time: 0:00:32 Points: 616   ⌞ # Computing specializations.. Time: 0:00:33 Points: 624   ⌜ # Computing specializations.. Time: 0:00:33 Points: 632   ⌝ # Computing specializations.. Time: 0:00:34 Points: 640   ✓ # Computing specializations.. Time: 0:00:34 [ Info: Search for polynomial generators concluded in 1.884635952 [ Info: Selecting generators in 0.05976703 [ Info: Inclusion checked with probability 0.995 in 8.832139891 seconds [ Info: The search for identifiable functions concluded in 69.912646205 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 0.001697104 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.8369e-5 [ Info: Selecting generators in 0.000200438 [ Info: Inclusion checked with probability 0.995 in 0.002669465 seconds [ Info: The search for identifiable functions concluded in 0.024180473 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 0.001314878 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.1219e-5 [ Info: Selecting generators in 0.000194568 [ Info: Inclusion checked with probability 0.995 in 0.002577336 seconds [ Info: The search for identifiable functions concluded in 0.009927597 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 0.001200519 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.0329e-5 [ Info: Selecting generators in 0.000199158 [ Info: Inclusion checked with probability 0.995 in 0.002566916 seconds [ Info: The search for identifiable functions concluded in 0.010156624 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 0.001194259 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000471505 [ Info: Selecting generators in 0.000152409 [ Info: Inclusion checked with probability 0.995 in 0.00207219 seconds [ Info: The search for identifiable functions concluded in 0.009334953 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 0.000929402 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000422996 [ Info: Selecting generators in 0.000143928 [ Info: Inclusion checked with probability 0.995 in 0.00215067 seconds [ Info: The search for identifiable functions concluded in 0.00846725 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 0.00105553 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000458756 [ Info: Selecting generators in 0.000157769 [ Info: Inclusion checked with probability 0.995 in 0.00212463 seconds [ Info: The search for identifiable functions concluded in 0.008891696 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 0.001467426 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001238989 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.714e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000429696 [ Info: Selecting generators in 0.000756473 [ Info: Inclusion checked with probability 0.995 in 0.002010331 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.4779e-5 [ Info: Selecting generators in 0.000444226 [ Info: Inclusion checked with probability 0.995 in 0.002577455 seconds [ Info: The search for identifiable functions concluded in 0.020375339 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 0.001413057 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000996361 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 4.2219e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000453585 [ Info: Selecting generators in 0.000860052 [ Info: Inclusion checked with probability 0.995 in 0.002281899 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.662e-5 [ Info: Selecting generators in 0.000453256 [ Info: Inclusion checked with probability 0.995 in 0.002940562 seconds [ Info: The search for identifiable functions concluded in 0.021974604 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 0.001304728 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001211838 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.8899e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000463225 [ Info: Selecting generators in 0.000819392 [ Info: Inclusion checked with probability 0.995 in 0.002285559 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.504e-5 [ Info: Selecting generators in 0.000453125 [ Info: Inclusion checked with probability 0.995 in 0.002791174 seconds [ Info: The search for identifiable functions concluded in 0.02131977 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 0.001350087 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00109905 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.739e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000393006 [ Info: Selecting generators in 0.000674764 [ Info: Inclusion checked with probability 0.995 in 0.001882282 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.235784338 [ Info: Selecting generators in 0.000627334 [ Info: Inclusion checked with probability 0.995 in 0.002876673 seconds [ Info: The search for identifiable functions concluded in 0.25585255 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 0.001285138 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000946551 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.83e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000440666 [ Info: Selecting generators in 0.000754293 [ Info: Inclusion checked with probability 0.995 in 0.002066731 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000657504 [ Info: Selecting generators in 0.000498886 [ Info: Inclusion checked with probability 0.995 in 0.002599266 seconds [ Info: The search for identifiable functions concluded in 0.020684406 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 0.001335677 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000980821 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.34e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000431896 [ Info: Selecting generators in 0.000682543 [ Info: Inclusion checked with probability 0.995 in 0.001999931 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000663734 [ Info: Selecting generators in 0.000461896 [ Info: Inclusion checked with probability 0.995 in 0.002630775 seconds [ Info: The search for identifiable functions concluded in 0.020399789 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 0.002758844 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002169129 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.8219e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.008400571 [ Info: Selecting generators in 0.002396108 [ Info: Inclusion checked with probability 0.995 in 0.003741845 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000120159 [ Info: Selecting generators in 0.003631696 [ Info: Inclusion checked with probability 0.995 in 0.006287251 seconds [ Info: The search for identifiable functions concluded in 0.055325531 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 0.002866093 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001955772 seconds [ Info: Dimensions of the Wronskians [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 0.008230933 [ Info: Selecting generators in 0.002408738 [ Info: Inclusion checked with probability 0.995 in 0.003922843 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000114279 [ Info: Selecting generators in 0.003361359 [ Info: Inclusion checked with probability 0.995 in 0.005783156 seconds [ Info: The search for identifiable functions concluded in 0.054167342 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 0.002581056 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001808803 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.437e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.008747408 [ Info: Selecting generators in 0.002343228 [ Info: Inclusion checked with probability 0.995 in 0.004181481 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000112389 [ Info: Selecting generators in 0.003340369 [ Info: Inclusion checked with probability 0.995 in 0.005742176 seconds [ Info: The search for identifiable functions concluded in 0.053527998 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 0.002633555 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002010621 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.931e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.00854763 [ Info: Selecting generators in 0.002463737 [ Info: Inclusion checked with probability 0.995 in 0.003731034 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.027256434 [ Info: Selecting generators in 0.003383078 [ Info: Inclusion checked with probability 0.995 in 0.005564437 seconds [ Info: The search for identifiable functions concluded in 0.080020469 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 0.002575836 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001886193 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.748e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.008329302 [ Info: Selecting generators in 0.002524856 [ Info: Inclusion checked with probability 0.995 in 0.003810654 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.02982575 [ Info: Selecting generators in 0.003926673 [ Info: Inclusion checked with probability 0.995 in 0.006700287 seconds [ Info: The search for identifiable functions concluded in 0.084394718 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 0.002833543 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002192209 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.031e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.009203724 [ Info: Selecting generators in 0.002523046 [ Info: Inclusion checked with probability 0.995 in 0.003941613 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.03413208 [ Info: Selecting generators in 0.00431462 [ Info: Inclusion checked with probability 0.995 in 0.006759597 seconds [ Info: The search for identifiable functions concluded in 0.094437434 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 0.002963942 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002225419 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.119e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.009688139 [ Info: Selecting generators in 0.002768344 [ Info: Inclusion checked with probability 0.995 in 0.004038832 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000116049 [ Info: Selecting generators in 0.003946203 [ Info: Inclusion checked with probability 0.995 in 0.00643241 seconds [ Info: The search for identifiable functions concluded in 0.059356773 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 0.002983272 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002255079 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.7829e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.010137835 [ Info: Selecting generators in 0.002661925 [ Info: Inclusion checked with probability 0.995 in 0.003900413 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000132299 [ Info: Selecting generators in 0.003921183 [ Info: Inclusion checked with probability 0.995 in 0.006156992 seconds [ Info: The search for identifiable functions concluded in 0.060386503 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 0.539328851 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002979622 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 4.846e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.012094807 [ Info: Selecting generators in 0.00429342 [ Info: Inclusion checked with probability 0.995 in 0.005408779 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000152928 [ Info: Selecting generators in 0.006074303 [ Info: Inclusion checked with probability 0.995 in 0.00962911 seconds [ Info: The search for identifiable functions concluded in 0.632053211 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 0.003579896 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002514757 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.2789e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.010319953 [ Info: Selecting generators in 0.003456557 [ Info: Inclusion checked with probability 0.995 in 0.00536316 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.03408196 [ Info: Selecting generators in 0.004500138 [ Info: Inclusion checked with probability 0.995 in 0.007611279 seconds [ Info: The search for identifiable functions concluded in 0.103612198 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 0.002832044 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00212634 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.42e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.00953018 [ Info: Selecting generators in 0.002878533 [ Info: Inclusion checked with probability 0.995 in 0.004383359 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.034163309 [ Info: Selecting generators in 0.004432628 [ Info: Inclusion checked with probability 0.995 in 0.006138192 seconds [ Info: The search for identifiable functions concluded in 0.095055438 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 0.002793013 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002334938 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.452e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.009376742 [ Info: Selecting generators in 0.002742974 [ Info: Inclusion checked with probability 0.995 in 0.003997903 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.03519244 [ Info: Selecting generators in 0.004532387 [ Info: Inclusion checked with probability 0.995 in 0.006476789 seconds [ Info: The search for identifiable functions concluded in 0.095453215 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 0.008689409 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006093213 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 4.119e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002430307 [ Info: Selecting generators in 0.011097036 [ Info: Inclusion checked with probability 0.995 in 0.006879926 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000163408 [ Info: Selecting generators in 0.014235176 [ Info: Inclusion checked with probability 0.995 in 0.011947838 seconds [ Info: The search for identifiable functions concluded in 0.432439524 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 0.008171983 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005849965 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 4.345e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002275379 [ Info: Selecting generators in 0.011054176 [ Info: Inclusion checked with probability 0.995 in 0.007105533 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000157028 [ Info: Selecting generators in 0.014663103 [ Info: Inclusion checked with probability 0.995 in 0.011466342 seconds [ Info: The search for identifiable functions concluded in 0.124338743 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 0.008171313 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005583668 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 4.001e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002268269 [ Info: Selecting generators in 0.010596581 [ Info: Inclusion checked with probability 0.995 in 0.006865186 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000183078 [ Info: Selecting generators in 0.016399396 [ Info: Inclusion checked with probability 0.995 in 0.013094917 seconds [ Info: The search for identifiable functions concluded in 0.127648232 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 0.00859032 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006241652 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 4.084e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002626515 [ Info: Selecting generators in 0.011882809 [ Info: Inclusion checked with probability 0.995 in 0.007100244 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.005474969 [ Info: Selecting generators in 0.016018999 [ Info: Inclusion checked with probability 0.995 in 0.01280999 seconds [ Info: The search for identifiable functions concluded in 0.140931458 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 0.009116404 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00641766 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 4.453e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002606626 [ Info: Selecting generators in 0.011921608 [ Info: Inclusion checked with probability 0.995 in 0.007542649 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.00535229 [ Info: Selecting generators in 0.016127188 [ Info: Inclusion checked with probability 0.995 in 0.01280045 seconds [ Info: The search for identifiable functions concluded in 0.143795961 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 0.009396482 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00635477 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 4.1419e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002452347 [ Info: Selecting generators in 0.011604261 [ Info: Inclusion checked with probability 0.995 in 0.00742709 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.0052511 [ Info: Selecting generators in 0.014561603 [ Info: Inclusion checked with probability 0.995 in 0.012447333 seconds [ Info: The search for identifiable functions concluded in 0.138096745 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 0.002401657 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001413197 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 2.333e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.00010247 [ Info: Selecting generators in 0.000690253 [ Info: Inclusion checked with probability 0.995 in 0.004022242 seconds [ Info: The search for identifiable functions concluded in 0.018309168 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 0.002298779 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001348918 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.932e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.3289e-5 [ Info: Selecting generators in 0.000655223 [ Info: Inclusion checked with probability 0.995 in 0.003584236 seconds [ Info: The search for identifiable functions concluded in 0.016974001 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 0.002440207 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001365817 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 2.55e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.9019e-5 [ Info: Selecting generators in 0.000649414 [ Info: Inclusion checked with probability 0.995 in 0.003620336 seconds [ Info: The search for identifiable functions concluded in 0.017549135 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 0.002393788 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001415506 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 2.4509e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006615948 [ Info: Selecting generators in 0.000790152 [ Info: Inclusion checked with probability 0.995 in 0.003609187 seconds [ Info: The search for identifiable functions concluded in 0.024284382 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 0.002324448 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001384787 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 2.347e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006525119 [ Info: Selecting generators in 0.000846172 [ Info: Inclusion checked with probability 0.995 in 0.003858064 seconds [ Info: The search for identifiable functions concluded in 0.024283883 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 0.002377488 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001678984 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 2.5789e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.00647291 [ Info: Selecting generators in 0.000733473 [ Info: Inclusion checked with probability 0.995 in 0.003387068 seconds [ Info: The search for identifiable functions concluded in 0.024130874 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 0.003866654 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002604186 seconds [ Info: Dimensions of the Wronskians [2] [ 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 0.00320457 [ Info: Selecting generators in 0.001130859 [ Info: Inclusion checked with probability 0.995 in 0.002860193 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000122659 [ Info: Selecting generators in 0.006200572 [ Info: Inclusion checked with probability 0.995 in 0.005844366 seconds [ Info: The search for identifiable functions concluded in 0.047124887 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 0.004139621 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004388849 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.7969e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.003016052 [ Info: Selecting generators in 0.001154519 [ Info: Inclusion checked with probability 0.995 in 0.002687065 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000132829 [ Info: Selecting generators in 0.006096123 [ Info: Inclusion checked with probability 0.995 in 0.00534796 seconds [ Info: The search for identifiable functions concluded in 0.047681703 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 0.003821854 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002442517 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.692e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.003164851 [ Info: Selecting generators in 0.001166899 [ Info: Inclusion checked with probability 0.995 in 0.002717154 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000127829 [ Info: Selecting generators in 0.006007213 [ Info: Inclusion checked with probability 0.995 in 0.00646735 seconds [ Info: The search for identifiable functions concluded in 0.047091648 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 0.004035732 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002538846 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.5439e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.00318593 [ Info: Selecting generators in 0.001018661 [ Info: Inclusion checked with probability 0.995 in 0.002534906 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.037176812 [ Info: Selecting generators in 0.0063831 [ Info: Inclusion checked with probability 0.995 in 0.006365521 seconds [ Info: The search for identifiable functions concluded in 0.085128821 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 0.004120691 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002566586 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.614e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.00317296 [ Info: Selecting generators in 0.00113097 [ Info: Inclusion checked with probability 0.995 in 0.002957682 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.036907923 [ Info: Selecting generators in 0.006593528 [ Info: Inclusion checked with probability 0.995 in 0.005644547 seconds [ Info: The search for identifiable functions concluded in 0.084713266 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 0.004335359 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003050541 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.739e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.003593776 [ Info: Selecting generators in 0.001182669 [ Info: Inclusion checked with probability 0.995 in 0.00313088 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.03621775 [ Info: Selecting generators in 0.006291241 [ Info: Inclusion checked with probability 0.995 in 0.848157503 seconds [ Info: The search for identifiable functions concluded in 0.928670358 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 0.002676575 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001859963 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.8849e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000471406 [ Info: Selecting generators in 0.000931101 [ Info: Inclusion checked with probability 0.995 in 0.002222079 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000122889 [ Info: Selecting generators in 0.002484376 [ Info: Inclusion checked with probability 0.995 in 0.004258141 seconds [ Info: The search for identifiable functions concluded in 0.564198768 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 0.003134741 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001953081 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.167e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000484696 [ Info: Selecting generators in 0.001033121 [ Info: Inclusion checked with probability 0.995 in 0.002387497 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.4029e-5 [ Info: Selecting generators in 0.002368618 [ Info: Inclusion checked with probability 0.995 in 0.004191761 seconds [ Info: The search for identifiable functions concluded in 0.03406369 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 0.002886523 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002462567 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.705e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000573314 [ Info: Selecting generators in 0.001333417 [ Info: Inclusion checked with probability 0.995 in 0.003342058 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.506e-5 [ Info: Selecting generators in 0.002398137 [ Info: Inclusion checked with probability 0.995 in 0.004048732 seconds [ Info: The search for identifiable functions concluded in 0.036806625 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 0.002831094 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001642464 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.146e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000462425 [ Info: Selecting generators in 0.000787772 [ Info: Inclusion checked with probability 0.995 in 0.002382277 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006987035 [ Info: Selecting generators in 0.001945692 [ Info: Inclusion checked with probability 0.995 in 0.003498597 seconds [ Info: The search for identifiable functions concluded in 0.036015582 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 0.002458457 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001570516 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.514e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000432016 [ Info: Selecting generators in 0.000823322 [ Info: Inclusion checked with probability 0.995 in 0.002216899 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006704227 [ Info: Selecting generators in 0.001814243 [ Info: Inclusion checked with probability 0.995 in 0.0032468 seconds [ Info: The search for identifiable functions concluded in 0.034018531 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 0.002506376 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001471116 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.228e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000435906 [ Info: Selecting generators in 0.000779293 [ Info: Inclusion checked with probability 0.995 in 0.002214409 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006673327 [ Info: Selecting generators in 0.001784263 [ Info: Inclusion checked with probability 0.995 in 0.003398838 seconds [ Info: The search for identifiable functions concluded in 0.033422157 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 0.001571315 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001267098 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.133e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006280432 [ Info: Selecting generators in 0.002717985 [ Info: Inclusion checked with probability 0.995 in 0.003129911 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000119509 [ Info: Selecting generators in 0.002967122 [ Info: Inclusion checked with probability 0.995 in 0.004313209 seconds [ Info: The search for identifiable functions concluded in 0.040823847 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 0.001466346 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001212079 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.869e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006196002 [ Info: Selecting generators in 0.002485897 [ Info: Inclusion checked with probability 0.995 in 0.003057841 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.00010159 [ Info: Selecting generators in 0.002857873 [ Info: Inclusion checked with probability 0.995 in 0.00432628 seconds [ Info: The search for identifiable functions concluded in 0.04053558 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 0.001530905 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001188179 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.649e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.00645938 [ Info: Selecting generators in 0.002480827 [ Info: Inclusion checked with probability 0.995 in 0.002967142 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000102689 [ Info: Selecting generators in 0.00324332 [ Info: Inclusion checked with probability 0.995 in 0.004153461 seconds [ Info: The search for identifiable functions concluded in 0.041402471 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 0.001588645 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001222278 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.888e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006153363 [ Info: Selecting generators in 0.002468577 [ Info: Inclusion checked with probability 0.995 in 0.003005211 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.017923781 [ Info: Selecting generators in 0.003042311 [ Info: Inclusion checked with probability 0.995 in 0.003939203 seconds [ Info: The search for identifiable functions concluded in 0.058088835 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 0.001450277 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001219748 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.758e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006503249 [ Info: Selecting generators in 0.002617095 [ Info: Inclusion checked with probability 0.995 in 0.003063321 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.01821999 [ Info: Selecting generators in 0.003029202 [ Info: Inclusion checked with probability 0.995 in 0.004126462 seconds [ Info: The search for identifiable functions concluded in 0.058411082 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 0.001432956 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00111614 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.699e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006676197 [ Info: Selecting generators in 0.002691125 [ Info: Inclusion checked with probability 0.995 in 0.002980793 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.017036601 [ Info: Selecting generators in 0.002821453 [ Info: Inclusion checked with probability 0.995 in 0.004334119 seconds [ Info: The search for identifiable functions concluded in 0.056952896 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 0.006648358 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005264451 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.976e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.016272207 [ Info: Selecting generators in 0.005121082 [ Info: Inclusion checked with probability 0.995 in 0.005532578 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000147628 [ Info: Selecting generators in 0.030277906 [ Info: Inclusion checked with probability 0.995 in 0.011571841 seconds [ Info: The search for identifiable functions concluded in 0.147448597 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 0.006782206 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005259661 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 3.14e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.015732603 [ Info: Selecting generators in 0.004739726 [ Info: Inclusion checked with probability 0.995 in 0.005360069 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000150069 [ Info: Selecting generators in 0.03086492 [ Info: Inclusion checked with probability 0.995 in 0.01170674 seconds [ Info: The search for identifiable functions concluded in 0.143959509 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 0.006710987 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005146552 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.655e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.015135278 [ Info: Selecting generators in 0.004491248 [ Info: Inclusion checked with probability 0.995 in 0.005166872 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000195248 [ Info: Selecting generators in 0.030480504 [ Info: Inclusion checked with probability 0.995 in 0.011007417 seconds [ Info: The search for identifiable functions concluded in 0.144009719 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 0.006285011 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005189052 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 3.327e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.014640883 [ Info: Selecting generators in 0.004726436 [ Info: Inclusion checked with probability 0.995 in 0.00526351 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.132266679 [ Info: Selecting generators in 0.034764574 [ Info: Inclusion checked with probability 0.995 in 0.012652481 seconds [ Info: The search for identifiable functions concluded in 0.279353999 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 0.006658778 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005234511 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.566e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.015525624 [ Info: Selecting generators in 0.004875254 [ Info: Inclusion checked with probability 0.995 in 0.005502488 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.120287141 [ Info: Selecting generators in 0.033416037 [ Info: Inclusion checked with probability 0.995 in 0.011457783 seconds [ Info: The search for identifiable functions concluded in 0.26962831 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 0.006699577 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005465239 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.749e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.017228789 [ Info: Selecting generators in 0.005318931 [ Info: Inclusion checked with probability 0.995 in 0.005905064 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.124031856 [ Info: Selecting generators in 0.034487007 [ Info: Inclusion checked with probability 0.995 in 0.011925178 seconds [ Info: The search for identifiable functions concluded in 0.281237922 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 0.2217229 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 1.885559121 seconds [ Info: Dimensions of the Wronskians [145, 18, 9] [ Info: Ranks of the Wronskians computed in 0.002025251 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:10 ✓ # Computing specializations.. Time: 0:00:10 [ Info: Search for polynomial generators concluded in 12.632681479 [ Info: Selecting generators in 0.112086348 [ Info: Inclusion checked with probability 0.995 in 8.475820654 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:22 ✓ # Computing specializations.. Time: 0:00:22 [ Info: Search for polynomial generators concluded in 0.000541495 [ Info: Selecting generators in 0.287327373 [ Info: Inclusion checked with probability 0.995 in 25.237754294 seconds [ Info: The search for identifiable functions concluded in 93.271532864 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 0.233832116 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.414605749 seconds [ Info: Dimensions of the Wronskians [145, 18, 9] [ Info: Ranks of the Wronskians computed in 0.001873033 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 10.165277489 [ Info: Selecting generators in 0.110961609 [ Info: Inclusion checked with probability 0.995 in 0.151499238 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000451466 [ Info: Selecting generators in 0.774655249 [ Info: Inclusion checked with probability 0.995 in 0.084479437 seconds [ Info: The search for identifiable functions concluded in 14.597529528 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 0.214495897 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.427581947 seconds [ Info: Dimensions of the Wronskians [145, 18, 9] [ Info: Ranks of the Wronskians computed in 0.001997061 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 10.1388929 [ Info: Selecting generators in 0.097599204 [ Info: Inclusion checked with probability 0.995 in 0.1406369 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000460536 [ Info: Selecting generators in 0.256282984 [ Info: Inclusion checked with probability 0.995 in 0.070472788 seconds [ Info: The search for identifiable functions concluded in 14.109974635 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 0.902124972 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.425331737 seconds [ Info: Dimensions of the Wronskians [145, 18, 9] [ Info: Ranks of the Wronskians computed in 0.001937682 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 9.727309809 [ Info: Selecting generators in 0.099180849 [ Info: Inclusion checked with probability 0.995 in 0.149866843 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 118.981807805 [ Info: Selecting generators in 1.265814207 [ Info: Inclusion checked with probability 0.995 in 0.081705558 seconds [ Info: The search for identifiable functions concluded in 132.881420681 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 0.909487665 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.41477284 seconds [ Info: Dimensions of the Wronskians [145, 18, 9] [ Info: Ranks of the Wronskians computed in 0.001840393 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 9.032246547 [ Info: Selecting generators in 0.10375561 [ Info: Inclusion checked with probability 0.995 in 0.146523935 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 110.188243239 [ Info: Selecting generators in 1.022457733 [ Info: Inclusion checked with probability 0.995 in 0.073176248 seconds [ Info: The search for identifiable functions concluded in 122.707519077 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 0.202098279 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.390667917 seconds [ Info: Dimensions of the Wronskians [145, 18, 9] [ Info: Ranks of the Wronskians computed in 0.001697824 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 9.609563095 [ Info: Selecting generators in 0.106283865 [ Info: Inclusion checked with probability 0.995 in 0.14482865 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 110.652425754 [ Info: Selecting generators in 0.993520193 [ Info: Inclusion checked with probability 0.995 in 0.073023089 seconds [ Info: The search for identifiable functions concluded in 123.053099776 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 0.030458372 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.017486185 seconds [ Info: Dimensions of the Wronskians [4, 2] [ Info: Ranks of the Wronskians computed in 3.72e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.033441934 [ Info: Selecting generators in 0.00205549 [ Info: Inclusion checked with probability 0.995 in 0.00529611 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000183289 [ Info: Selecting generators in 0.010883707 [ Info: Inclusion checked with probability 0.995 in 0.011124875 seconds [ Info: The search for identifiable functions concluded in 0.484971893 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 0.031390163 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.017498685 seconds [ Info: Dimensions of the Wronskians [4, 2] [ Info: Ranks of the Wronskians computed in 3.352e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.033259285 [ Info: Selecting generators in 0.001885372 [ Info: Inclusion checked with probability 0.995 in 0.004545427 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000205798 [ Info: Selecting generators in 0.011065756 [ Info: Inclusion checked with probability 0.995 in 0.010348992 seconds [ Info: The search for identifiable functions concluded in 0.162310235 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 0.0295837 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.017511965 seconds [ Info: Dimensions of the Wronskians [4, 2] [ Info: Ranks of the Wronskians computed in 2.731e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.033405504 [ Info: Selecting generators in 0.001863762 [ Info: Inclusion checked with probability 0.995 in 0.004524817 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000191898 [ Info: Selecting generators in 0.010480971 [ Info: Inclusion checked with probability 0.995 in 0.01052403 seconds [ Info: The search for identifiable functions concluded in 0.155906526 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 0.030548351 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.017538694 seconds [ Info: Dimensions of the Wronskians [4, 2] [ Info: Ranks of the Wronskians computed in 2.9139e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.032476333 [ Info: Selecting generators in 0.001884372 [ Info: Inclusion checked with probability 0.995 in 0.004367719 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.567493973 [ Info: Selecting generators in 0.011383582 [ Info: Inclusion checked with probability 0.995 in 0.012460182 seconds [ Info: The search for identifiable functions concluded in 0.730193063 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 0.031973098 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.01794309 seconds [ Info: Dimensions of the Wronskians [4, 2] [ Info: Ranks of the Wronskians computed in 3.01e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.035451064 [ Info: Selecting generators in 0.001952922 [ Info: Inclusion checked with probability 0.995 in 0.006903304 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.572296047 [ Info: Selecting generators in 0.012008677 [ Info: Inclusion checked with probability 0.995 in 0.010657449 seconds [ Info: The search for identifiable functions concluded in 0.741782834 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 1.316993253 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.02113973 seconds [ Info: Dimensions of the Wronskians [4, 2] [ Info: Ranks of the Wronskians computed in 3.398e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.045123493 [ Info: Selecting generators in 0.002149 [ Info: Inclusion checked with probability 0.995 in 0.004999863 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.582123784 [ Info: Selecting generators in 0.010483361 [ Info: Inclusion checked with probability 0.995 in 0.01049929 seconds [ Info: The search for identifiable functions concluded in 2.054662197 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 0.018240667 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00848053 seconds [ Info: Dimensions of the Wronskians [4, 2, 10] [ Info: Ranks of the Wronskians computed in 3.6739e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000121898 [ Info: Selecting generators in 0.007195692 [ Info: Inclusion checked with probability 0.995 in 0.009277042 seconds [ Info: The search for identifiable functions concluded in 0.070078457 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 0.018139118 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.008394991 seconds [ Info: Dimensions of the Wronskians [4, 2, 10] [ Info: Ranks of the Wronskians computed in 4.2039e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000181298 [ Info: Selecting generators in 0.009412411 [ Info: Inclusion checked with probability 0.995 in 0.011132565 seconds [ Info: The search for identifiable functions concluded in 0.099687038 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 0.021789144 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.011181284 seconds [ Info: Dimensions of the Wronskians [4, 2, 10] [ Info: Ranks of the Wronskians computed in 4.06e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000135118 [ Info: Selecting generators in 0.008078564 [ Info: Inclusion checked with probability 0.995 in 0.009959096 seconds [ Info: The search for identifiable functions concluded in 0.086978377 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 0.02016328 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.01065493 seconds [ Info: Dimensions of the Wronskians [4, 2, 10] [ 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 0.079336309 [ Info: Selecting generators in 0.007672798 [ Info: Inclusion checked with probability 0.995 in 0.010198953 seconds [ Info: The search for identifiable functions concluded in 0.158670799 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 0.020256038 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.010280303 seconds [ Info: Dimensions of the Wronskians [4, 2, 10] [ Info: Ranks of the Wronskians computed in 3.64e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.082858986 [ Info: Selecting generators in 0.008349961 [ Info: Inclusion checked with probability 0.995 in 0.009639389 seconds [ Info: The search for identifiable functions concluded in 0.16704184 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 0.02008991 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.010111644 seconds [ Info: Dimensions of the Wronskians [4, 2, 10] [ Info: Ranks of the Wronskians computed in 3.394e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.079856594 [ Info: Selecting generators in 0.007974304 [ Info: Inclusion checked with probability 0.995 in 0.009359672 seconds [ Info: The search for identifiable functions concluded in 0.16180712 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 0.001752263 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.8779e-5 [ Info: Selecting generators in 0.000195698 [ Info: Inclusion checked with probability 0.995 in 0.002379167 seconds [ Info: The search for identifiable functions concluded in 0.010622089 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 0.001703664 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.069e-5 [ Info: Selecting generators in 0.000186208 [ Info: Inclusion checked with probability 0.995 in 0.002392048 seconds [ Info: The search for identifiable functions concluded in 0.01058511 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 0.001746093 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.5799e-5 [ Info: Selecting generators in 0.000185049 [ Info: Inclusion checked with probability 0.995 in 0.002285318 seconds [ Info: The search for identifiable functions concluded in 0.011057526 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 0.001760753 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002676024 [ Info: Selecting generators in 0.000248858 [ Info: Inclusion checked with probability 0.995 in 0.002240829 seconds [ Info: The search for identifiable functions concluded in 0.013114836 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 0.001690274 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002456737 [ Info: Selecting generators in 0.000210868 [ Info: Inclusion checked with probability 0.995 in 0.002368418 seconds [ Info: The search for identifiable functions concluded in 0.013197305 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 0.001776583 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002511136 [ Info: Selecting generators in 0.000230058 [ Info: Inclusion checked with probability 0.995 in 0.002288218 seconds [ Info: The search for identifiable functions concluded in 0.013227124 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 0.012820069 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.036897501 seconds [ Info: Dimensions of the Wronskians [80] [ Info: Ranks of the Wronskians computed in 0.000518485 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.021645746 [ Info: Selecting generators in 0.010474561 [ Info: Inclusion checked with probability 0.995 in 0.036777553 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000165028 [ Info: Selecting generators in 0.009610539 [ Info: Inclusion checked with probability 0.995 in 0.015106377 seconds [ Info: The search for identifiable functions concluded in 0.299811584 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 0.01378997 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.039588516 seconds [ Info: Dimensions of the Wronskians [80] [ Info: Ranks of the Wronskians computed in 0.000419946 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.024835135 [ Info: Selecting generators in 0.012453232 [ Info: Inclusion checked with probability 0.995 in 0.037442156 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000198488 [ Info: Selecting generators in 0.010863608 [ Info: Inclusion checked with probability 0.995 in 0.016422265 seconds [ Info: The search for identifiable functions concluded in 1.68211924 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 0.014117176 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.042659136 seconds [ Info: Dimensions of the Wronskians [80] [ Info: Ranks of the Wronskians computed in 0.000458116 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.024513908 [ Info: Selecting generators in 0.011520301 [ Info: Inclusion checked with probability 0.995 in 0.039318648 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000183159 [ Info: Selecting generators in 1.163585875 [ Info: Inclusion checked with probability 0.995 in 0.024296171 seconds [ Info: The search for identifiable functions concluded in 1.495881082 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 0.01587565 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.04338341 seconds [ Info: Dimensions of the Wronskians [80] [ Info: Ranks of the Wronskians computed in 0.000484876 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.024775666 [ Info: Selecting generators in 0.012118435 [ Info: Inclusion checked with probability 0.995 in 0.03810607 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.266841326 [ Info: Selecting generators in 0.014086767 [ Info: Inclusion checked with probability 0.995 in 0.013103716 seconds [ Info: The search for identifiable functions concluded in 0.601991716 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 0.012863938 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.036839112 seconds [ Info: Dimensions of the Wronskians [80] [ Info: Ranks of the Wronskians computed in 0.000502125 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.020409927 [ Info: Selecting generators in 0.010832757 [ Info: Inclusion checked with probability 0.995 in 0.034158467 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.562231213 [ Info: Selecting generators in 0.01593641 [ Info: Inclusion checked with probability 0.995 in 0.013604021 seconds [ Info: The search for identifiable functions concluded in 0.857397901 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 0.013325324 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.035809622 seconds [ Info: Dimensions of the Wronskians [80] [ Info: Ranks of the Wronskians computed in 0.000474206 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.018320387 [ Info: Selecting generators in 0.00957616 [ Info: Inclusion checked with probability 0.995 in 0.031353903 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.220287656 [ Info: Selecting generators in 0.013867638 [ Info: Inclusion checked with probability 0.995 in 0.011551751 seconds [ Info: The search for identifiable functions concluded in 0.496759711 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 0.001134019 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000832543 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.729e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001001641 [ Info: Selecting generators in 0.000529195 [ Info: Inclusion checked with probability 0.995 in 0.001738383 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.5099e-5 [ Info: Selecting generators in 0.001135409 [ Info: Inclusion checked with probability 0.995 in 0.002822304 seconds [ Info: The search for identifiable functions concluded in 0.019773103 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 0.001125779 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000794213 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.89e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001018821 [ Info: Selecting generators in 0.000540574 [ Info: Inclusion checked with probability 0.995 in 0.002839714 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.547e-5 [ Info: Selecting generators in 0.001202209 [ Info: Inclusion checked with probability 0.995 in 0.002833503 seconds [ Info: The search for identifiable functions concluded in 0.020773823 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 0.001176229 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.0009696 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.583e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001137759 [ Info: Selecting generators in 0.000576425 [ Info: Inclusion checked with probability 0.995 in 0.001798153 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.8319e-5 [ Info: Selecting generators in 0.001159639 [ Info: Inclusion checked with probability 0.995 in 0.002982682 seconds [ Info: The search for identifiable functions concluded in 0.021986882 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 0.001142919 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000847672 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.553e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001134449 [ Info: Selecting generators in 0.000696953 [ Info: Inclusion checked with probability 0.995 in 0.001827883 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.003733045 [ Info: Selecting generators in 0.001889532 [ Info: Inclusion checked with probability 0.995 in 0.002691415 seconds [ Info: The search for identifiable functions concluded in 0.025671757 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 0.00104835 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000815272 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.269e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000999361 [ Info: Selecting generators in 0.000538865 [ Info: Inclusion checked with probability 0.995 in 0.001723124 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.003268229 [ Info: Selecting generators in 0.001734244 [ Info: Inclusion checked with probability 0.995 in 0.002445597 seconds [ Info: The search for identifiable functions concluded in 0.022738265 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 0.00104157 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000799693 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.815e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001013681 [ Info: Selecting generators in 0.000549755 [ Info: Inclusion checked with probability 0.995 in 0.001879452 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.003340978 [ Info: Selecting generators in 0.001731554 [ Info: Inclusion checked with probability 0.995 in 0.002444827 seconds [ Info: The search for identifiable functions concluded in 0.022553176 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 0.002442277 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001906722 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.126e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.9569e-5 [ Info: Selecting generators in 0.002855633 [ Info: Inclusion checked with probability 0.995 in 0.004480888 seconds [ Info: The search for identifiable functions concluded in 0.024272881 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 0.002796763 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001881152 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.9709e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.7759e-5 [ Info: Selecting generators in 0.003000551 [ Info: Inclusion checked with probability 0.995 in 0.004404638 seconds [ Info: The search for identifiable functions concluded in 0.02537279 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 0.002768554 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001924472 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.149e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.5289e-5 [ Info: Selecting generators in 0.002908412 [ Info: Inclusion checked with probability 0.995 in 0.004254359 seconds [ Info: The search for identifiable functions concluded in 0.024422389 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 0.002810253 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002171809 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.083e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.020544836 [ Info: Selecting generators in 0.003412818 [ Info: Inclusion checked with probability 0.995 in 0.004586227 seconds [ Info: The search for identifiable functions concluded in 0.045824256 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 0.002943352 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00205451 seconds [ Info: Dimensions of the Wronskians [5] [ 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 0.023951954 [ Info: Selecting generators in 0.004309079 [ Info: Inclusion checked with probability 0.995 in 0.005581457 seconds [ Info: The search for identifiable functions concluded in 0.053173167 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 0.003485967 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002480547 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.9069e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.025748367 [ Info: Selecting generators in 0.003868253 [ Info: Inclusion checked with probability 0.995 in 0.007283121 seconds [ Info: The search for identifiable functions concluded in 0.058357268 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 0.003287709 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002265729 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.455e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.024765276 [ Info: Selecting generators in 0.003335748 [ Info: Inclusion checked with probability 0.995 in 0.004616907 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000144609 [ Info: Selecting generators in 0.010422352 [ Info: Inclusion checked with probability 0.995 in 0.008698037 seconds [ Info: The search for identifiable functions concluded in 0.100114953 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 0.003117071 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002672535 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.992e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.024454779 [ Info: Selecting generators in 0.003713955 [ Info: Inclusion checked with probability 0.995 in 0.00525257 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000142558 [ Info: Selecting generators in 0.010035925 [ Info: Inclusion checked with probability 0.995 in 0.008497319 seconds [ Info: The search for identifiable functions concluded in 0.100214872 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 0.003562456 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002572465 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.264e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.024657466 [ Info: Selecting generators in 0.003718975 [ Info: Inclusion checked with probability 0.995 in 0.005102932 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000138339 [ Info: Selecting generators in 0.012187895 [ Info: Inclusion checked with probability 0.995 in 0.008323421 seconds [ Info: The search for identifiable functions concluded in 0.105328744 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 0.003340118 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002592996 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.446e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.024834055 [ Info: Selecting generators in 0.004730705 [ Info: Inclusion checked with probability 0.995 in 0.004925674 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.795895034 [ Info: Selecting generators in 0.013879619 [ Info: Inclusion checked with probability 0.995 in 0.0083954 seconds [ Info: The search for identifiable functions concluded in 1.902283497 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 0.003665786 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002794514 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.3379e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.028823267 [ Info: Selecting generators in 0.003834104 [ Info: Inclusion checked with probability 0.995 in 0.005114111 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.103185384 [ Info: Selecting generators in 0.013354274 [ Info: Inclusion checked with probability 0.995 in 0.008254811 seconds [ Info: The search for identifiable functions concluded in 0.213684429 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 0.003136351 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002465197 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.3129e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.024717556 [ Info: Selecting generators in 0.003599176 [ Info: Inclusion checked with probability 0.995 in 0.004770775 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.095625586 [ Info: Selecting generators in 0.011729859 [ Info: Inclusion checked with probability 0.995 in 0.007258871 seconds [ Info: The search for identifiable functions concluded in 0.194088954 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 0.004403178 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003938813 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.242e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000124499 [ Info: Selecting generators in 0.01266581 [ Info: Inclusion checked with probability 0.995 in 0.009389501 seconds [ Info: The search for identifiable functions concluded in 0.053611163 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 0.004473288 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004007172 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.678e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000118509 [ Info: Selecting generators in 0.012373703 [ Info: Inclusion checked with probability 0.995 in 0.008974425 seconds [ Info: The search for identifiable functions concluded in 0.052499044 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 0.004402458 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003762054 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.355e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000118979 [ Info: Selecting generators in 0.011488982 [ Info: Inclusion checked with probability 0.995 in 0.009386882 seconds [ Info: The search for identifiable functions concluded in 0.05181857 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 0.004302389 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003969982 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.669e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.09828819 [ Info: Selecting generators in 0.015991618 [ Info: Inclusion checked with probability 0.995 in 0.008315841 seconds [ Info: The search for identifiable functions concluded in 0.153769416 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 0.003992852 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003812374 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.4179e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.094374488 [ Info: Selecting generators in 0.016014218 [ Info: Inclusion checked with probability 0.995 in 0.008615979 seconds [ Info: The search for identifiable functions concluded in 0.150594546 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 0.004560116 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004068481 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.184e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.089455053 [ Info: Selecting generators in 0.017141858 [ Info: Inclusion checked with probability 0.995 in 0.008774037 seconds [ Info: The search for identifiable functions concluded in 0.147325137 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 0.004348779 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003796084 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.264e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.088133776 [ Info: Selecting generators in 0.016168427 [ Info: Inclusion checked with probability 0.995 in 0.008561109 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000133219 [ Info: Selecting generators in 0.019171589 [ Info: Inclusion checked with probability 0.995 in 0.016667393 seconds [ Info: The search for identifiable functions concluded in 0.231914016 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 0.00422133 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003432478 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.173e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.090087318 [ Info: Selecting generators in 0.016522194 [ Info: Inclusion checked with probability 0.995 in 0.00849694 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000149229 [ Info: Selecting generators in 0.018158528 [ Info: Inclusion checked with probability 0.995 in 0.016639572 seconds [ Info: The search for identifiable functions concluded in 0.23471979 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 0.004143601 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003770445 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 2.955e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.098869245 [ Info: Selecting generators in 0.019582105 [ Info: Inclusion checked with probability 0.995 in 0.009767478 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000160708 [ Info: Selecting generators in 0.02113277 [ Info: Inclusion checked with probability 0.995 in 0.018754422 seconds [ Info: The search for identifiable functions concluded in 0.258198917 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 0.004823404 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005123661 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.6359e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.10786917 [ Info: Selecting generators in 0.018825172 [ Info: Inclusion checked with probability 0.995 in 0.011323693 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.3774473 [ Info: Selecting generators in 0.024683847 [ Info: Inclusion checked with probability 0.995 in 0.018344526 seconds [ Info: The search for identifiable functions concluded in 0.657381232 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 0.004582116 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004332709 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.083e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.100307421 [ Info: Selecting generators in 0.017552054 [ Info: Inclusion checked with probability 0.995 in 0.009213113 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.755892882 [ Info: Selecting generators in 0.026098024 [ Info: Inclusion checked with probability 0.995 in 0.018199198 seconds [ Info: The search for identifiable functions concluded in 2.022745127 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 0.004856704 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00425924 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.444e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.102279932 [ Info: Selecting generators in 0.018052279 [ Info: Inclusion checked with probability 0.995 in 0.00948679 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.34782425 [ Info: Selecting generators in 0.021759974 [ Info: Inclusion checked with probability 0.995 in 0.017103068 seconds [ Info: The search for identifiable functions concluded in 0.608647533 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 0.005802755 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00425144 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.4419e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000172328 [ Info: Selecting generators in 0.011510521 [ Info: Inclusion checked with probability 0.995 in 0.01053503 seconds [ Info: The search for identifiable functions concluded in 0.120425531 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 0.005541518 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004090421 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.365e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000166608 [ Info: Selecting generators in 0.011388013 [ Info: Inclusion checked with probability 0.995 in 0.010696969 seconds [ Info: The search for identifiable functions concluded in 0.119586449 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 0.005029873 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003975572 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.356e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000150958 [ Info: Selecting generators in 0.011780508 [ Info: Inclusion checked with probability 0.995 in 0.011012756 seconds [ Info: The search for identifiable functions concluded in 0.120049085 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 0.005490878 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003957883 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.159e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.149615195 [ Info: Selecting generators in 0.016342095 [ Info: Inclusion checked with probability 0.995 in 0.008815407 seconds [ Info: The search for identifiable functions concluded in 0.265866265 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 0.005693317 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004119041 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.4389e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.148966111 [ Info: Selecting generators in 0.017449225 [ Info: Inclusion checked with probability 0.995 in 0.009230833 seconds [ Info: The search for identifiable functions concluded in 0.272227735 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 0.005992373 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005148771 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.503e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.173714726 [ Info: Selecting generators in 0.020031731 [ Info: Inclusion checked with probability 0.995 in 0.009892427 seconds [ Info: The search for identifiable functions concluded in 0.317590086 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 0.008574349 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005002853 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.334e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.172671816 [ Info: Selecting generators in 0.018743032 [ Info: Inclusion checked with probability 0.995 in 0.010179504 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000218488 [ Info: Selecting generators in 0.051309515 [ Info: Inclusion checked with probability 0.995 in 0.021038581 seconds [ Info: The search for identifiable functions concluded in 0.618195683 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 0.006423229 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005147461 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.421e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.218608162 [ Info: Selecting generators in 0.017365206 [ Info: Inclusion checked with probability 0.995 in 0.009206093 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000211738 [ Info: Selecting generators in 0.050431953 [ Info: Inclusion checked with probability 0.995 in 0.020312628 seconds [ Info: The search for identifiable functions concluded in 2.03725072 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 0.006100902 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004449388 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.547e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.157655099 [ Info: Selecting generators in 0.017005339 [ Info: Inclusion checked with probability 0.995 in 0.008590479 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000257328 [ Info: Selecting generators in 0.049208724 [ Info: Inclusion checked with probability 0.995 in 0.019753723 seconds [ Info: The search for identifiable functions concluded in 0.556426087 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 0.005089312 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003996613 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.041e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.137647018 [ Info: Selecting generators in 0.015346595 [ Info: Inclusion checked with probability 0.995 in 0.008327431 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 2.796433928 [ Info: Selecting generators in 0.067051755 [ Info: Inclusion checked with probability 0.995 in 0.02112899 seconds [ Info: The search for identifiable functions concluded in 3.333262221 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 0.006636637 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004988213 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.4799e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.167448476 [ Info: Selecting generators in 0.016360825 [ Info: Inclusion checked with probability 0.995 in 0.008868946 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.799696276 [ Info: Selecting generators in 0.052260895 [ Info: Inclusion checked with probability 0.995 in 0.018260058 seconds [ Info: The search for identifiable functions concluded in 1.363897318 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 0.005160261 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003942573 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.4119e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.142353394 [ Info: Selecting generators in 0.015993499 [ Info: Inclusion checked with probability 0.995 in 0.008537919 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 2.323238195 [ Info: Selecting generators in 0.052467103 [ Info: Inclusion checked with probability 0.995 in 0.017637023 seconds [ Info: The search for identifiable functions concluded in 4.089638916 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 0.016099668 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007027684 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.6849e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000111939 [ Info: Selecting generators in 0.00846246 [ Info: Inclusion checked with probability 0.995 in 0.006942534 seconds [ Info: The search for identifiable functions concluded in 0.073217328 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 0.015918559 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00746839 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 3.101e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000111239 [ Info: Selecting generators in 0.008284252 [ Info: Inclusion checked with probability 0.995 in 0.007061263 seconds [ Info: The search for identifiable functions concluded in 0.074335907 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 0.015615453 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007657407 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.432e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000122498 [ Info: Selecting generators in 0.009531839 [ Info: Inclusion checked with probability 0.995 in 0.007531288 seconds [ Info: The search for identifiable functions concluded in 0.07715311 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 0.017108428 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007709627 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 3.419e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.085438292 [ Info: Selecting generators in 0.009007605 [ Info: Inclusion checked with probability 0.995 in 0.00742632 seconds [ Info: The search for identifiable functions concluded in 0.164206346 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 0.015183886 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007455099 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.961e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.093606405 [ Info: Selecting generators in 0.010995356 [ Info: Inclusion checked with probability 0.995 in 0.007826316 seconds [ Info: The search for identifiable functions concluded in 0.171858544 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 0.018553105 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.008715338 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 3.274e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.153257361 [ Info: Selecting generators in 0.013951098 [ Info: Inclusion checked with probability 0.995 in 0.008698238 seconds [ Info: The search for identifiable functions concluded in 1.243935704 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 0.02006484 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.010891847 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.466e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.104272194 [ Info: Selecting generators in 0.010083374 [ Info: Inclusion checked with probability 0.995 in 0.007727417 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000159728 [ Info: Selecting generators in 0.02758511 [ Info: Inclusion checked with probability 0.995 in 0.014236086 seconds [ Info: The search for identifiable functions concluded in 0.332937921 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 0.018334607 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.008188643 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 3.292e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.091572793 [ Info: Selecting generators in 0.009418321 [ Info: Inclusion checked with probability 0.995 in 0.007603458 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000164229 [ Info: Selecting generators in 0.028166924 [ Info: Inclusion checked with probability 0.995 in 0.014476093 seconds [ Info: The search for identifiable functions concluded in 0.307411062 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 0.017331776 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007481789 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 3.157e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.089457604 [ Info: Selecting generators in 0.009369031 [ Info: Inclusion checked with probability 0.995 in 0.007775867 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000166058 [ Info: Selecting generators in 0.026605859 [ Info: Inclusion checked with probability 0.995 in 0.013518102 seconds [ Info: The search for identifiable functions concluded in 0.297881332 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 0.016698192 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007454609 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.816e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.084496511 [ Info: Selecting generators in 0.009343302 [ Info: Inclusion checked with probability 0.995 in 0.0073897 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.611496766 [ Info: Selecting generators in 0.024408449 [ Info: Inclusion checked with probability 0.995 in 0.013140806 seconds [ Info: The search for identifiable functions concluded in 0.894449319 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 0.015617902 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006891155 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 3.498e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.108814321 [ Info: Selecting generators in 0.010876737 [ Info: Inclusion checked with probability 0.995 in 0.009205973 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.67551462 [ Info: Selecting generators in 0.024694056 [ Info: Inclusion checked with probability 0.995 in 0.013027817 seconds [ Info: The search for identifiable functions concluded in 2.70416987 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 0.016378285 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007303841 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 3.3069e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.08563747 [ Info: Selecting generators in 0.009372621 [ Info: Inclusion checked with probability 0.995 in 0.007279881 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.600042874 [ Info: Selecting generators in 0.026613628 [ Info: Inclusion checked with probability 0.995 in 0.013323204 seconds [ Info: The search for identifiable functions concluded in 0.89010612 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 0.003139491 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002353338 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 3.9919e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000115169 [ Info: Selecting generators in 0.003453117 [ Info: Inclusion checked with probability 0.995 in 0.005198501 seconds [ Info: The search for identifiable functions concluded in 0.02958216 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 0.002802083 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002229579 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.0389e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.6169e-5 [ Info: Selecting generators in 0.003572666 [ Info: Inclusion checked with probability 0.995 in 0.005147422 seconds [ Info: The search for identifiable functions concluded in 0.028811828 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 0.002929742 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00209641 seconds [ Info: Dimensions of the Wronskians [5] [ 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 9.616e-5 [ Info: Selecting generators in 0.003279649 [ Info: Inclusion checked with probability 0.995 in 0.004979473 seconds [ Info: The search for identifiable functions concluded in 0.028578649 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 0.002896922 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002223659 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.164e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.020986232 [ Info: Selecting generators in 0.003553316 [ Info: Inclusion checked with probability 0.995 in 0.005241191 seconds [ Info: The search for identifiable functions concluded in 0.050655251 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 0.003250809 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.0021359 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.616e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.020666264 [ Info: Selecting generators in 0.003483447 [ Info: Inclusion checked with probability 0.995 in 0.004886654 seconds [ Info: The search for identifiable functions concluded in 0.050544181 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 0.00320694 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002280489 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.278e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.020480316 [ Info: Selecting generators in 0.003992232 [ Info: Inclusion checked with probability 0.995 in 0.00531819 seconds [ Info: The search for identifiable functions concluded in 0.051533712 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 0.003220629 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002283808 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.387e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.02112847 [ Info: Selecting generators in 0.003940613 [ Info: Inclusion checked with probability 0.995 in 0.00533336 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000150368 [ Info: Selecting generators in 0.008332201 [ Info: Inclusion checked with probability 0.995 in 0.008349591 seconds [ Info: The search for identifiable functions concluded in 0.094378607 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 0.00315123 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002508726 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.347e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.02122404 [ Info: Selecting generators in 0.003829454 [ Info: Inclusion checked with probability 0.995 in 0.005444398 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000127579 [ Info: Selecting generators in 0.007743627 [ Info: Inclusion checked with probability 0.995 in 0.007847676 seconds [ Info: The search for identifiable functions concluded in 0.092193338 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 0.003212679 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002244659 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.244e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.019171029 [ Info: Selecting generators in 0.003647805 [ Info: Inclusion checked with probability 0.995 in 0.005234121 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000128469 [ Info: Selecting generators in 0.007812696 [ Info: Inclusion checked with probability 0.995 in 1.134669947 seconds [ Info: The search for identifiable functions concluded in 1.216372724 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 0.003855394 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002911642 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.152e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.025807666 [ Info: Selecting generators in 0.005793706 [ Info: Inclusion checked with probability 0.995 in 0.007192042 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.116273301 [ Info: Selecting generators in 0.01163697 [ Info: Inclusion checked with probability 0.995 in 0.009124474 seconds [ Info: The search for identifiable functions concluded in 0.239236467 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 0.003613355 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002410657 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.5949e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.021956572 [ Info: Selecting generators in 0.004104562 [ Info: Inclusion checked with probability 0.995 in 0.005167481 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.109669382 [ Info: Selecting generators in 0.010953467 [ Info: Inclusion checked with probability 0.995 in 0.00839513 seconds [ Info: The search for identifiable functions concluded in 0.210121483 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 0.003410758 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002229549 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.631e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.020742714 [ Info: Selecting generators in 0.003842484 [ Info: Inclusion checked with probability 0.995 in 0.005013412 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.097090052 [ Info: Selecting generators in 0.010261113 [ Info: Inclusion checked with probability 0.995 in 0.007694957 seconds [ Info: The search for identifiable functions concluded in 0.191595707 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 0.002829743 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00210374 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.567e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000100409 [ Info: Selecting generators in 0.004363309 [ Info: Inclusion checked with probability 0.995 in 0.004920334 seconds [ Info: The search for identifiable functions concluded in 0.028999986 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 0.002563986 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001976631 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.471e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000109629 [ Info: Selecting generators in 0.005036832 [ Info: Inclusion checked with probability 0.995 in 0.005522768 seconds [ Info: The search for identifiable functions concluded in 0.030753939 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 0.002653275 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00202442 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.615e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000110739 [ Info: Selecting generators in 0.004131351 [ Info: Inclusion checked with probability 0.995 in 0.005054593 seconds [ Info: The search for identifiable functions concluded in 0.028656599 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 0.002712995 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002158019 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.132e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.025456699 [ Info: Selecting generators in 0.00428165 [ Info: Inclusion checked with probability 0.995 in 0.004994813 seconds [ Info: The search for identifiable functions concluded in 0.054635503 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 0.002683574 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001967541 seconds [ Info: Dimensions of the Wronskians [6] [ 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 0.025691676 [ Info: Selecting generators in 0.004661316 [ Info: Inclusion checked with probability 0.995 in 0.004882624 seconds [ Info: The search for identifiable functions concluded in 0.055538424 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 0.002623585 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00213137 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.282e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.025234322 [ Info: Selecting generators in 0.004301259 [ Info: Inclusion checked with probability 0.995 in 0.004755975 seconds [ Info: The search for identifiable functions concluded in 0.053718752 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 0.002528856 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001875872 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.6519e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.024511598 [ Info: Selecting generators in 0.004509407 [ Info: Inclusion checked with probability 0.995 in 0.004494707 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000166598 [ Info: Selecting generators in 0.00527785 [ Info: Inclusion checked with probability 0.995 in 0.007059843 seconds [ Info: The search for identifiable functions concluded in 0.086131485 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 0.002655815 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001962532 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.641e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.024784986 [ Info: Selecting generators in 0.004365979 [ Info: Inclusion checked with probability 0.995 in 0.004613907 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000109159 [ Info: Selecting generators in 0.005032853 [ Info: Inclusion checked with probability 0.995 in 0.006746136 seconds [ Info: The search for identifiable functions concluded in 0.086759269 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 0.002669595 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001958342 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.9009e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.02534058 [ Info: Selecting generators in 0.004337239 [ Info: Inclusion checked with probability 0.995 in 0.00526093 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000110079 [ Info: Selecting generators in 0.005426789 [ Info: Inclusion checked with probability 0.995 in 0.007177402 seconds [ Info: The search for identifiable functions concluded in 0.089730921 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 0.002658675 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001853882 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.3169e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.025859906 [ Info: Selecting generators in 0.004500487 [ Info: Inclusion checked with probability 0.995 in 0.00525627 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.076496927 [ Info: Selecting generators in 0.007158183 [ Info: Inclusion checked with probability 0.995 in 0.006753776 seconds [ Info: The search for identifiable functions concluded in 0.168779023 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 0.002530316 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001904063 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.054e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.025166852 [ Info: Selecting generators in 0.00423793 [ Info: Inclusion checked with probability 0.995 in 0.004956283 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.074167218 [ Info: Selecting generators in 0.007229522 [ Info: Inclusion checked with probability 0.995 in 0.006855855 seconds [ Info: The search for identifiable functions concluded in 0.163365035 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 0.002831453 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002206799 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 3.1649e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.026748087 [ Info: Selecting generators in 0.004648066 [ Info: Inclusion checked with probability 0.995 in 0.005136632 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.076590286 [ Info: Selecting generators in 0.008080794 [ Info: Inclusion checked with probability 0.995 in 0.007269291 seconds [ Info: The search for identifiable functions concluded in 0.17231873 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 0.015207017 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006443239 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 3.777e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000175949 [ Info: Selecting generators in 0.018854052 [ Info: Inclusion checked with probability 0.995 in 0.013194125 seconds [ Info: The search for identifiable functions concluded in 0.196066335 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 0.01582471 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007553228 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 3.632e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000180279 [ Info: Selecting generators in 0.019397697 [ Info: Inclusion checked with probability 0.995 in 0.013197085 seconds [ Info: The search for identifiable functions concluded in 0.216216074 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 0.016018058 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.008001744 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 3.602e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000176808 [ Info: Selecting generators in 0.019577105 [ Info: Inclusion checked with probability 0.995 in 0.013576981 seconds [ Info: The search for identifiable functions concluded in 0.224658345 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 0.016678672 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007870675 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 3.189e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.293072177 [ Info: Selecting generators in 0.025230011 [ Info: Inclusion checked with probability 0.995 in 0.014415913 seconds [ Info: The search for identifiable functions concluded in 0.523441469 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 0.017547734 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.008686078 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 3.895e-5 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:01 Points: 11   ✓ # Computing specializations.. Time: 0:00:01 [ Info: Search for polynomial generators concluded in 0.320038802 [ Info: Selecting generators in 0.023323789 [ Info: Inclusion checked with probability 0.995 in 0.013160426 seconds [ Info: The search for identifiable functions concluded in 1.935761968 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 0.015990829 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006979724 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 3.113e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.255943719 [ Info: Selecting generators in 0.020628565 [ Info: Inclusion checked with probability 0.995 in 0.012028206 seconds [ Info: The search for identifiable functions concluded in 0.4598736 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 0.014268765 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006063903 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 2.9839e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.236422333 [ Info: Selecting generators in 0.019950981 [ Info: Inclusion checked with probability 0.995 in 0.012954838 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:00 Points: 309   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.000272788 [ Info: Selecting generators in 0.059158061 [ Info: Inclusion checked with probability 0.995 in 0.039808633 seconds [ Info: The search for identifiable functions concluded in 1.705266939 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 0.014937989 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006425219 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 3.4379e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.998526295 [ Info: Selecting generators in 0.02753077 [ Info: Inclusion checked with probability 0.995 in 0.014469073 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:00 Points: 297   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.000257128 [ Info: Selecting generators in 0.058902702 [ Info: Inclusion checked with probability 0.995 in 0.038466687 seconds [ Info: The search for identifiable functions concluded in 3.208030053 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 0.015299555 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006770796 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 3.532e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.276857411 [ Info: Selecting generators in 0.021592156 [ Info: Inclusion checked with probability 0.995 in 0.013530322 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:00 Points: 250   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.000288237 [ Info: Selecting generators in 0.06664282 [ Info: Inclusion checked with probability 0.995 in 0.044197402 seconds [ Info: The search for identifiable functions concluded in 1.55175007 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 0.018118029 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.010690668 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 4.8009e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.59719296 [ Info: Selecting generators in 0.030290404 [ Info: Inclusion checked with probability 0.995 in 0.016262726 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:00 Points: 287   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 4.707497207 [ Info: Selecting generators in 0.086149585 [ Info: Inclusion checked with probability 0.995 in 0.036488415 seconds [ Info: The search for identifiable functions concluded in 7.615126991 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 0.017061208 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.008217892 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 3.565e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.286441811 [ Info: Selecting generators in 0.020315248 [ Info: Inclusion checked with probability 0.995 in 0.011763489 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:00 Points: 306   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 3.411510397 [ Info: Selecting generators in 0.070677941 [ Info: Inclusion checked with probability 0.995 in 0.033759911 seconds [ Info: The search for identifiable functions concluded in 4.852565485 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 0.01478033 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00626728 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 2.895e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.241864881 [ Info: Selecting generators in 0.020440097 [ Info: Inclusion checked with probability 0.995 in 0.012566521 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:00 Points: 315   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 4.223042699 [ Info: Selecting generators in 0.071527853 [ Info: Inclusion checked with probability 0.995 in 0.034639173 seconds [ Info: The search for identifiable functions concluded in 5.590990698 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 2.340169931 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 2.086345092 seconds [ Info: Dimensions of the Wronskians [279] [ Info: Ranks of the Wronskians computed in 0.009370722 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:05 ⌝ # 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: 0:00:02 ⌞ # 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: 0:00:04 ⌜ # 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.. 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Time: 0:00:04 ⌜ # 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: 0:00:06 ⌟ # Computing specializations.. Time: 0:00:07 ⌞ # Computing specializations.. Time: 0:00:07 ⌜ # Computing specializations.. Time: 0:00:08 ✓ # Computing specializations.. Time: 0:00:08 ⌜ # 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.. Time: 0:00:02 Points: 7   ⌟ # Computing specializations.. Time: 0:00:03 Points: 8   ⌞ # Computing specializations.. Time: 0:00:03 Points: 9   ⌜ # Computing specializations.. 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Time: 0:00:25 Points: 59   ⌝ # Computing specializations.. Time: 0:00:25 Points: 60   ⌟ # Computing specializations.. Time: 0:00:26 Points: 61   ⌞ # Computing specializations.. Time: 0:00:26 Points: 62   ⌜ # Computing specializations.. Time: 0:00:27 Points: 63   ⌝ # Computing specializations.. Time: 0:00:27 Points: 64   ⌟ # Computing specializations.. Time: 0:00:28 Points: 65   ⌞ # Computing specializations.. Time: 0:00:28 Points: 67   ⌜ # Computing specializations.. Time: 0:00:29 Points: 69   ⌝ # Computing specializations.. Time: 0:00:30 Points: 70   ⌟ # Computing specializations.. Time: 0:00:30 Points: 71   ⌞ # Computing specializations.. Time: 0:00:30 Points: 72   ⌜ # Computing specializations.. Time: 0:00:31 Points: 73   ⌝ # Computing specializations.. Time: 0:00:31 Points: 74   ⌟ # Computing specializations.. Time: 0:00:32 Points: 75   ⌞ # Computing specializations.. Time: 0:00:32 Points: 76   ⌜ # Computing specializations.. 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Time: 0:02:17 [ Info: Search for polynomial generators concluded in 0.000285448 [ Info: Selecting generators in 0.03591107 [ Info: Inclusion checked with probability 0.995 in 70.652750495 seconds [ Info: The search for identifiable functions concluded in 426.15213493 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 1.702520804 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 1.561358551 seconds [ Info: Dimensions of the Wronskians [279] [ Info: Ranks of the Wronskians computed in 0.009107704 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:05 ⌝ # Computing specializations.. Time: 0:00:06 ✓ # Computing specializations.. Time: 0:00:06 ⌜ # Computing specializations.. Time: 0:00:00 ⌝ # 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: 0:00:03 ✓ # Computing specializations.. Time: 0:00:03 ⌜ # 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: 0:00:03 Points: 6   ⌜ # Computing specializations.. Time: 0:00:03 Points: 7   ⌝ # Computing specializations.. 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Time: 0:00:26 Points: 63   ⌟ # Computing specializations.. Time: 0:00:27 Points: 64   ✓ # Computing specializations.. Time: 0:00:27 ====================================================================================== 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 mpoly_pack_vec_fmpz at /workspace/srcdir/flint-3.4.0/src/mpoly/pack_vec.c:85:22 mpoly_set_monomial_ffmpz at /workspace/srcdir/flint-3.4.0/src/mpoly/set_monomial.c:86:5 _do_monomial_gcd at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:818:5 _try_divides at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:1098:9 _nmod_mpoly_gcd_algo_small at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:1911:22 _nmod_mpoly_gcd_algo at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:2251:16 nmod_mpoly_gcd at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:2277:12 _nmod_mpoly_vec_content_mpoly at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly_factor/mpolyv.c:153:14 _try_missing_var at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:1016:19 _nmod_mpoly_gcd_algo_small at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:1851:19 _nmod_mpoly_gcd_algo at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:2251:16 nmod_mpoly_gcd at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:2277:12 _nmod_mpoly_vec_content_mpoly at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly_factor/mpolyv.c:145:10 _try_missing_var at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:1016:19 _nmod_mpoly_gcd_algo_small at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:1851:19 _nmod_mpoly_gcd_algo at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:2251:16 nmod_mpoly_gcd at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:2277:12 _nmod_mpoly_vec_content_mpoly at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly_factor/mpolyv.c:145:10 _try_missing_var at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:1016:19 _nmod_mpoly_gcd_algo_small at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:1851:19 _nmod_mpoly_gcd_algo at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:2251:16 nmod_mpoly_gcd at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:2277:12 _nmod_mpoly_vec_content_mpoly at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly_factor/mpolyv.c:145:10 _try_missing_var at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:1016:19 _nmod_mpoly_gcd_algo_small at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:1851:19 _nmod_mpoly_gcd_algo at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:2251:16 nmod_mpoly_gcd at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:2277:12 _nmod_mpoly_vec_content_mpoly at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly_factor/mpolyv.c:153:14 _try_missing_var at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:1016:19 _nmod_mpoly_gcd_algo_small at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:1851:19 _nmod_mpoly_gcd_algo at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:2251:16 nmod_mpoly_gcd at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:2277:12 gcd at /home/pkgeval/.julia/packages/Nemo/MT5uH/src/flint/nmod_mpoly.jl:351:0 (pc: 27) // at /home/pkgeval/.julia/packages/AbstractAlgebra/u52o2/src/Fraction.jl:50:0 (pc: 24) derivative at /home/pkgeval/.julia/packages/AbstractAlgebra/u52o2/src/Fraction.jl:661:0 (pc: 75) derivative at /home/pkgeval/.julia/packages/AbstractAlgebra/u52o2/src/Fraction.jl:654:0 [inlined] _check_algebraicity at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/Field.jl:138:0 (pc: 404) check_algebraicity_modp at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/Field.jl:214:0 [inlined] issubfield_mod_p at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/Field.jl:284:0 (pc: 20) issubfield_mod_p at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/Field.jl:284:0 [inlined] #groebner_basis_coeffs#135 at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/simplification.jl:147:0 (pc: 761) groebner_basis_coeffs at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/simplification.jl:147:0 (pc: 11) unknown function (ip: 0x7666ab800091) at (unknown file) _jl_invoke at /source/src/gf.c:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 #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: 0x7666ab51c384) at (unknown file) _jl_invoke at /source/src/gf.c:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 #_find_identifiable_functions#252 at /home/pkgeval/.julia/packages/StructuralIdentifiability/lHwSE/src/identifiable_functions.jl:119:0 (pc: 80) _find_identifiable_functions at /home/pkgeval/.julia/packages/StructuralIdentifiability/lHwSE/src/identifiable_functions.jl:85:0 [inlined] #250 at /home/pkgeval/.julia/packages/StructuralIdentifiability/lHwSE/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#248 at /home/pkgeval/.julia/packages/StructuralIdentifiability/lHwSE/src/identifiable_functions.jl:60:0 [inlined] find_identifiable_functions at /home/pkgeval/.julia/packages/StructuralIdentifiability/lHwSE/src/identifiable_functions.jl:48:0 (pc: 25) unknown function (ip: 0x7666ab51b7b0) at (unknown file) _jl_invoke at /source/src/gf.c:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 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:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 _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: 0x7666eab695f2) at (unknown file) _jl_invoke at /source/src/gf.c:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 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:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 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:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 _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: 0x7666eab695f2) at (unknown file) _jl_invoke at /source/src/gf.c:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 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:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 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/hyfVF/src/SciMLTesting.jl:949:0 (pc: 7) _run_body at /home/pkgeval/.julia/packages/SciMLTesting/hyfVF/src/SciMLTesting.jl:933:0 [inlined] _run_core_folder at /home/pkgeval/.julia/packages/SciMLTesting/hyfVF/src/SciMLTesting.jl:1010:0 (pc: 50) _run_folder_group at /home/pkgeval/.julia/packages/SciMLTesting/hyfVF/src/SciMLTesting.jl:1050:0 (pc: 3) #run_tests#23 at /home/pkgeval/.julia/packages/SciMLTesting/hyfVF/src/SciMLTesting.jl:1326:0 (pc: 19) run_tests at /home/pkgeval/.julia/packages/SciMLTesting/hyfVF/src/SciMLTesting.jl:1301:0 (pc: 9) unknown function (ip: 0x7666eab008df) at (unknown file) _jl_invoke at /source/src/gf.c:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 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:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 _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:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 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:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 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: 0x766708ba1249) 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) ============================================================== Profile collected. A report will print at the next yield point. Disabling --trace-compile ============================================================== ====================================================================================== 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 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:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 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) ============================================================== Profile collected. A report will print at the next yield point. Disabling --trace-compile ============================================================== ┌ 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 0x000073b85a021690 Total snapshots: 395. Utilization: 0% ╎395 @Base/task.jl:1170 wait_forever() 394╎ 395 @Base/task.jl:1248 wait() [37] signal 15: Terminated in expression starting at /home/pkgeval/.julia/packages/StructuralIdentifiability/lHwSE/test/bodies/identifiable_functions.jl:1151 unknown function (ip: 0x766708c11bf4) at /lib/x86_64-linux-gnu/libc.so.6 malloc at /lib/x86_64-linux-gnu/libc.so.6 (unknown line) ijl_gc_counted_malloc at /source/src/gc-stock.c:3840:18 flint_malloc at /workspace/srcdir/flint-3.4.0/src/generic_files/memory_manager.c:81:19 nmod_mpoly_init3 at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/init.c:26:21 nmod_mpoly_to_univar at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/univar.c:260:13 _try_missing_var at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:1008:5 _nmod_mpoly_gcd_algo_small at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:1851:19 _nmod_mpoly_gcd_algo at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:2251:16 nmod_mpoly_gcd at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:2277:12 _nmod_mpoly_vec_content_mpoly at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly_factor/mpolyv.c:145:10 _try_missing_var at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:1016:19 _nmod_mpoly_gcd_algo_small at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:1851:19 _nmod_mpoly_gcd_algo at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:2251:16 nmod_mpoly_gcd at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:2277:12 _nmod_mpoly_vec_content_mpoly at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly_factor/mpolyv.c:153:14 _try_missing_var at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:1016:19 _nmod_mpoly_gcd_algo_small at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:1851:19 _nmod_mpoly_gcd_algo at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:2251:16 nmod_mpoly_gcd at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:2277:12 _nmod_mpoly_vec_content_mpoly at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly_factor/mpolyv.c:153:14 _try_missing_var at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:1016:19 _nmod_mpoly_gcd_algo_small at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:1851:19 _nmod_mpoly_gcd_algo at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:2251:16 nmod_mpoly_gcd at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:2277:12 _nmod_mpoly_vec_content_mpoly at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly_factor/mpolyv.c:153:14 _try_missing_var at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:1016:19 _nmod_mpoly_gcd_algo_small at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:1851:19 _nmod_mpoly_gcd_algo at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:2251:16 nmod_mpoly_gcd at /workspace/srcdir/flint-3.4.0/src/nmod_mpoly/gcd.c:2277:12 gcd at /home/pkgeval/.julia/packages/Nemo/MT5uH/src/flint/nmod_mpoly.jl:351:0 (pc: 27) // at /home/pkgeval/.julia/packages/AbstractAlgebra/u52o2/src/Fraction.jl:50:0 (pc: 24) derivative at /home/pkgeval/.julia/packages/AbstractAlgebra/u52o2/src/Fraction.jl:661:0 (pc: 75) derivative at /home/pkgeval/.julia/packages/AbstractAlgebra/u52o2/src/Fraction.jl:654:0 [inlined] _check_algebraicity at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/Field.jl:138:0 (pc: 404) check_algebraicity_modp at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/Field.jl:214:0 [inlined] issubfield_mod_p at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/Field.jl:284:0 (pc: 20) issubfield_mod_p at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/Field.jl:284:0 [inlined] #groebner_basis_coeffs#135 at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/simplification.jl:147:0 (pc: 761) groebner_basis_coeffs at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/simplification.jl:147:0 (pc: 11) unknown function (ip: 0x7666ab800091) at (unknown file) _jl_invoke at /source/src/gf.c:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 #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: 0x7666ab51c384) at (unknown file) _jl_invoke at /source/src/gf.c:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 #_find_identifiable_functions#252 at /home/pkgeval/.julia/packages/StructuralIdentifiability/lHwSE/src/identifiable_functions.jl:119:0 (pc: 80) _find_identifiable_functions at /home/pkgeval/.julia/packages/StructuralIdentifiability/lHwSE/src/identifiable_functions.jl:85:0 [inlined] #250 at /home/pkgeval/.julia/packages/StructuralIdentifiability/lHwSE/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#248 at /home/pkgeval/.julia/packages/StructuralIdentifiability/lHwSE/src/identifiable_functions.jl:60:0 [inlined] find_identifiable_functions at /home/pkgeval/.julia/packages/StructuralIdentifiability/lHwSE/src/identifiable_functions.jl:48:0 (pc: 25) unknown function (ip: 0x7666ab51b7b0) at (unknown file) _jl_invoke at /source/src/gf.c:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 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:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 _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: 0x7666eab695f2) at (unknown file) _jl_invoke at /source/src/gf.c:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 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:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 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:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 _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: 0x7666eab695f2) at (unknown file) _jl_invoke at /source/src/gf.c:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 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:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 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/hyfVF/src/SciMLTesting.jl:949:0 (pc: 7) _run_body at /home/pkgeval/.julia/packages/SciMLTesting/hyfVF/src/SciMLTesting.jl:933:0 [inlined] _run_core_folder at /home/pkgeval/.julia/packages/SciMLTesting/hyfVF/src/SciMLTesting.jl:1010:0 (pc: 50) _run_folder_group at /home/pkgeval/.julia/packages/SciMLTesting/hyfVF/src/SciMLTesting.jl:1050:0 (pc: 3) #run_tests#23 at /home/pkgeval/.julia/packages/SciMLTesting/hyfVF/src/SciMLTesting.jl:1326:0 (pc: 19) run_tests at /home/pkgeval/.julia/packages/SciMLTesting/hyfVF/src/SciMLTesting.jl:1301:0 (pc: 9) unknown function (ip: 0x7666eab008df) at (unknown file) _jl_invoke at /source/src/gf.c:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 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:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 _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:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 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:4348:23 [inlined] ijl_apply_generic at /source/src/gf.c:4586:12 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: 0x766708ba1249) 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: 2713309252 (Pool: 2713307549; Big: 1703); GC: 1843 PkgEval terminated after 2721.55s: test duration exceeded the time limit