Package evaluation to test StructuralIdentifiability on Julia 1.14.0-DEV.3081 (21a70e450d*) started at 2026-09-01T22:52:16.525 ################################################################################ # Set-up # Installing PkgEval dependencies (TestEnv)... Activating project at `~/.julia/environments/v1.14` Set-up completed after 32.08s ################################################################################ # Installation # Installing StructuralIdentifiability... Resolving package versions... Installed StructuralIdentifiability ─ v0.5.30 Updating `~/.julia/environments/v1.14/Project.toml` [220ca800] + StructuralIdentifiability v0.5.30 Updating `~/.julia/environments/v1.14/Manifest.toml` [c3fe647b] + AbstractAlgebra v0.50.2 [a9b6321e] + Atomix v1.1.3 [c3b6d118] + BitIntegers v0.3.7 [861a8166] + Combinatorics v1.1.0 [34da2185] + Compat v4.18.1 [adafc99b] + CpuId v0.3.1 [864edb3b] + DataStructures v0.19.6 [e2ba6199] + ExprTools v0.1.11 [0b43b601] + Groebner v0.10.6 [18e54dd8] + IntegerMathUtils v0.1.4 [c8e1da08] + IterTools v1.10.0 [692b3bcd] + JLLWrappers v1.8.0 [1914dd2f] + MacroTools v0.5.16 [2edaba10] + Nemo v0.56.1 [bac558e1] + OrderedCollections v2.0.1 [3e851597] + ParamPunPam v0.5.8 [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 v0.3.4 [2b935e18] + SmallCollections v0.6.3 [220ca800] + StructuralIdentifiability v0.5.30 ⌅ [a759f4b9] + TimerOutputs v0.5.29 [013be700] + UnsafeAtomics v0.3.2 [e134572f] + FLINT_jll v301.600.0+0 [656ef2d0] + OpenBLAS32_jll v0.3.34+0 [56f22d72] + Artifacts v1.11.0 [2a0f44e3] + Base64 v1.11.0 [ade2ca70] + Dates v1.11.0 [8ba89e20] + Distributed v1.12.0 [ac6e5ff7] + JuliaSyntaxHighlighting v1.13.0 [8f399da3] + Libdl v1.11.0 [37e2e46d] + LinearAlgebra v1.14.0 [56ddb016] + Logging v1.11.0 [d6f4376e] + Markdown 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 [f489334b] + StyledStrings v1.13.0 [fa267f1f] + TOML v1.0.3 [cf7118a7] + UUIDs v1.11.0 [4ec0a83e] + Unicode v1.11.0 [e66e0078] + CompilerSupportLibraries_jll v1.5.7+0 [781609d7] + GMP_jll v6.3.0+4 [3a97d323] + MPFR_jll v4.2.2+1 [4536629a] + OpenBLAS_jll v0.3.34+0 [bea87d4a] + SuiteSparse_jll v7.10.1+0 [8e850b90] + libblastrampoline_jll v5.15.0+0 Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m` Installation completed after 5.35s ################################################################################ # Precompilation # Precompiling PkgEval dependencies... Precompiling package dependencies... Precompiling project... 18.7 s ✓ StructuralIdentifiability 1 dependency successfully precompiled in 21 seconds. 83 already precompiled. Precompilation completed after 63.98s ################################################################################ # Testing # Testing StructuralIdentifiability Status `/tmp/jl_8LAjnD/Project.toml` [c3fe647b] AbstractAlgebra v0.50.2 [4c88cf16] Aqua v0.8.16 [2a0fbf3d] CPUSummary v0.2.7 [861a8166] Combinatorics v1.1.0 [864edb3b] DataStructures v0.19.6 [0b43b601] Groebner v0.10.6 [c8e1da08] IterTools v1.10.0 [1914dd2f] MacroTools v0.5.16 [2edaba10] Nemo v0.56.1 [3e851597] ParamPunPam v0.5.8 [aea7be01] PrecompileTools v1.3.4 [27ebfcd6] Primes v0.5.7 [73480bc8] RationalFunctionFields v0.3.4 [1bc83da4] SafeTestsets v0.1.0 [09d9d899] SciMLTesting v2.13.0 [276daf66] SpecialFunctions v2.9.0 [220ca800] StructuralIdentifiability v0.5.30 [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_8LAjnD/Manifest.toml` [c3fe647b] AbstractAlgebra v0.50.2 [4c88cf16] Aqua v0.8.16 [a9b6321e] Atomix v1.1.3 [c3b6d118] BitIntegers v0.3.7 [2a0fbf3d] CPUSummary v0.2.7 [861a8166] Combinatorics v1.1.0 [f70d9fcc] CommonWorldInvalidations v1.2.0 [34da2185] Compat v4.18.1 [adafc99b] CpuId v0.3.1 [864edb3b] DataStructures v0.19.6 [ab62b9b5] DeepDiffs v1.2.0 [ffbed154] DocStringExtensions v0.9.5 [7d51a73a] ExplicitImports v1.15.0 [e2ba6199] ExprTools v0.1.11 [0b43b601] Groebner v0.10.6 [615f187c] IfElse v0.1.1 [18e54dd8] IntegerMathUtils v0.1.4 [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 v0.56.1 [bac558e1] OrderedCollections v2.0.1 [3e851597] ParamPunPam v0.5.8 [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 v0.3.4 [1bc83da4] SafeTestsets v0.1.0 [431bcebd] SciMLPublic v1.3.0 [09d9d899] SciMLTesting v2.13.0 [2b935e18] SmallCollections v0.6.3 [276daf66] SpecialFunctions v2.9.0 [aedffcd0] Static v1.4.6 [220ca800] StructuralIdentifiability v0.5.30 [98d24dd4] TestSetExtensions v4.0.3 ⌅ [a759f4b9] TimerOutputs v0.5.29 [013be700] UnsafeAtomics v0.3.2 [e134572f] FLINT_jll v301.600.0+0 [656ef2d0] OpenBLAS32_jll v0.3.34+0 [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 v1.12.0 [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 [3fa0cd96] REPL 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 v1.5.7+0 [781609d7] GMP_jll v6.3.0+4 [deac9b47] LibCURL_jll v8.21.0+0 [e37daf67] LibGit2_jll v1.9.7+0 [29816b5a] LibSSH2_jll v1.11.104+0 [3a97d323] MPFR_jll v4.2.2+1 [14a3606d] MozillaCACerts_jll v2026.8.13 [4536629a] OpenBLAS_jll v0.3.34+0 [05823500] OpenLibm_jll v0.8.7+0 [458c3c95] OpenSSL_jll v3.5.8+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 v1.70.0+0 [3f19e933] p7zip_jll v17.8.2+0 Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. Testing Running tests... [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: a, b, c, d [ Info: Inputs: [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: S, I, W, R [ Info: Parameters: a, bi, bw, gam, k, mu, xi [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: S, I, W, R [ Info: Parameters: a, bi, bw, gam, k, mu, xi [ Info: Inputs: [ Info: Outputs: y, y2 [ Info: Summary of the model: [ Info: State variables: x0, x1, x2, x3 [ Info: Parameters: a1, a2, b1, b2, ka, kc, n [ Info: Inputs: [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: S, E, A, I, J, C, Ninv [ Info: Parameters: alpha, b, g1, g2, k, q, r [ Info: Inputs: [ Info: Outputs: y, y2 [ Info: Summary of the model: [ Info: State variables: KS00, KS01, KS10, FS01, FS10, FS11, K, F, S00, S01, S10, S11 [ Info: Parameters: a00, a01, a10, alpha01, alpha10, alpha11, b00, b01, b10, beta01, beta10, beta11, c0001, c0010, c0011, c0111, c1011, gamma0100, gamma1000, gamma1100, gamma1101, gamma1110 [ Info: Inputs: [ Info: Outputs: y1, y2, y3, y4, y5 [ Info: Summary of the model: [ Info: State variables: KS00, KS01, KS10, FS01, FS10, FS11, K, F, S00, S01, S10, S11 [ Info: Parameters: a00, a01, a10, alpha01, alpha10, alpha11, b00, b01, b10, beta01, beta10, beta11, c0001, c0010, c0011, c0111, c1011, gamma0100, gamma1000, gamma1100, gamma1101, gamma1110 [ Info: Inputs: [ Info: Outputs: y0, y1, y2, y3, y4 [ Info: Summary of the model: [ Info: State variables: KS00, KS01, KS10, FS01, FS10, FS11, K, F, S00, S01, S10, S11 [ Info: Parameters: a00, a01, a10, alpha01, alpha10, alpha11, b00, b01, b10, beta01, beta10, beta11, c0001, c0010, c0011, c0111, c1011, gamma0100, gamma1000, gamma1100, gamma1101, gamma1110 [ Info: Inputs: [ Info: Outputs: y0, y1, y2, y3, y4, y5 [ Info: Summary of the model: [ Info: State variables: x1, x2, x3, x4 [ Info: Parameters: alpha, b, beta, c, delta, gama, sigma [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x, y, v, w, z [ Info: Parameters: a, b, beta, c, d, h, k, lm, q, u [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: s, i, r, x1, x2 [ Info: Parameters: M, b0, b1, g, mu, nu [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: x1, x2, x3, x4, x5, x6 [ Info: Parameters: k1, k2, k3, k4, k5, k6 [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: x, y, z, w [ Info: Parameters: a, b, c, d, e, f [ Info: Inputs: [ Info: Outputs: g [ Info: Summary of the model: [ Info: State variables: S, L, In, Q [ Info: Parameters: Ninv, a, b, e, g, s [ Info: Inputs: u [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: S, R, W [ Info: Parameters: Dd, T, a, d, dr, e, g, r, rR [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: P0, P1, P2, P3, P4, P5 [ Info: Parameters: Ks, M, Mar, alpa, beta, beta_SA, beta_SI, phi, siga1, siga2 [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: EGFR, pEGFR, pEGFR_Akt, Akt, pAkt, S6, pAkt_S6, pS6, EGF_EGFR [ Info: Parameters: EGFR_turnover, a1, a2, a3, reaction_1_k1, reaction_1_k2, reaction_2_k1, reaction_2_k2, reaction_3_k1, reaction_4_k1, reaction_5_k1, reaction_5_k2, reaction_6_k1, reaction_7_k1, reaction_8_k1, reaction_9_k1 [ Info: Inputs: pro_EGFR [ Info: Outputs: y1, y2, y3 [ Info: Summary of the model: [ Info: State variables: x1, x2, x3 [ Info: Parameters: p1, p2, p3, p4 [ Info: Inputs: u [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: x1, x2, x3, x4 [ Info: Parameters: k01, k12, k13, k14, k21, k31, k41 [ Info: Inputs: u [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: x1, x2, x3, x4 [ Info: Parameters: b, c, d, k1, k2, q1, q2, s, w1, w2 [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: x4, x5, x6, x7 [ Info: Parameters: k10, k5, k6, k7, k8, k9 [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: S, In, Tr, N [ Info: Parameters: a, b, d, g, nu [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: S, E, I, R, Q [ Info: Parameters: beta, gamma, psi, v [ Info: Inputs: [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: x1, x2, x3, x4, x5, x6, x7, x8, x9, x10 [ Info: Parameters: t1, t10, t11, t12, t13, t14, t15, t16, t17, t18, t19, t2, t20, t21, t22, t3, t4, t5, t6, t7, t8, t9 [ Info: Inputs: u [ Info: Outputs: y1, y2, y3, y4, y5, y6, y7, y8 [ Info: Summary of the model: [ Info: State variables: A, S, I, R [ Info: Parameters: K, c, gamma, mu, phi [ Info: Inputs: u1 [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: S, I, R, C, D [ Info: Parameters: N, beta, mu, pp, q, r [ Info: Inputs: [ Info: Outputs: y1, y2, y3 [ Info: Summary of the model: [ Info: State variables: S, I, J, R, U [ Info: Parameters: alpha, beta, eta, xi [ Info: Inputs: [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: S, I [ Info: Parameters: K, N, beta, gamma [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: A, S, E, I [ Info: Parameters: K, N, beta, epsilon, gamma, mu, r [ Info: Inputs: [ Info: Outputs: y1, y2, y3 [ Info: Summary of the model: [ Info: State variables: S, E, I, De, Di, F [ Info: Parameters: N, beta, beta_d, gamma, gamma_d, mu_0, mu_d, mu_i, nu, phi, phi_e, s, s_d [ Info: Inputs: q [ Info: Outputs: y1, y2, y5, y3, y4, y6 [ Info: Summary of the model: [ Info: State variables: x, y, z, w, v [ Info: Parameters: b1, b2, b3, b4, b5, d1, k2, k3, k4, k5, m1, m3, m4, mu2, mu3, mu4, mu5, r1, r2, r3, r4 [ Info: Inputs: [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: T, L, N, C, I, M [ Info: Parameters: KC, KL, KN, KT, a, alpha1, alpha2, b, beta, c1, f, g, gI, gamma, gt, h, m, muI, p, pI, pt, q, r2, ucte, w [ Info: Inputs: u1, D, u2 [ Info: Outputs: y1, y2, y3 [ Info: Summary of the model: [ Info: State variables: S, E, In, Cu [ Info: Parameters: N, a, b, nu [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: S, E, I [ Info: Parameters: N, alpha, beta, lambda [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: S, E, U, I [ Info: Parameters: N, beta, d, w, z [ Info: Inputs: [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: beta, cry, zea, beta10, OHbeta10, betaio, OHbetaio [ Info: Parameters: kOHbeta10, kbeta, kbeta10, kcryOH, kcrybeta, kzea [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: mRNA, GFP, enz, mRNAenz [ Info: Parameters: b, d1, d2, d3, kTL [ Info: Inputs: [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: x1, x2, x3, x4 [ Info: Parameters: p1, p10, p11, p12, p13, p14, p15, p16, p17, p18, p20, p21, p22, p23, p24, p25, p3, p4, p5, p6, p7, p8, p9 [ Info: Inputs: u1 [ Info: Outputs: y1, y2, y3, y4 [ Info: Summary of the model: [ Info: State variables: N, E, S, M, P [ Info: Parameters: delta_EL, delta_LM, delta_NE, mu_EE, mu_LE, mu_LL, mu_M, mu_N, mu_P, mu_PE, mu_PL, rho_E, rho_P [ Info: Inputs: [ Info: Outputs: y1, y2, y3 [ Info: Summary of the model: [ Info: State variables: x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15, x16, x17, x18, x19, x20 [ Info: Parameters: km, p1, p10, p11, p12, p13, p14, p15, p16, p17, p18, p19, p2, p20, p3, p4, p5, p6, p7, p8, p9, vm [ Info: Inputs: u [ Info: Outputs: y1, y2, y3, y4, y5, y6, y7, y8, y9, y10, y11, y12, y13, y14, y15, y16, y17, y18, y19, y20 [ Info: Summary of the model: [ Info: State variables: Ca, Cb, T, Tj, Arr [ Info: Parameters: Ca0, DH, E, R, Ta, Th, UA, V, Vh, cp, cph, k0, ro, roh [ Info: Inputs: u1, u2 [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: q1, q3, q35, q36, q7 [ Info: Parameters: R, S, V3, V36, k3, k4, k5, k6, k7 [ Info: Inputs: u [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: C, L, B, P, I [ Info: Parameters: ai, alpha, ap, beta, ks, rhob, rhoc, rhoi, rhol, rhop, taob, taoc, taoi, taop [ Info: Inputs: [ Info: Outputs: y1, y2, y3 [ Info: Summary of the model: [ Info: State variables: x1, x2, x3, x4, x5 [ Info: Parameters: k2, k3, k4 [ Info: Inputs: [ Info: Outputs: y1, y2, y3 [ Info: Summary of the model: [ Info: State variables: pi1, pi2, pi3 [ Info: Parameters: A11, A12, A13, A21, A22, A23, A31, A32, A33, B11, B21, B31, g1, g2, g3 [ Info: Inputs: u1 [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: pi1, pi2, pi3 [ Info: Parameters: A11, A12, A13, A21, A22, A23, A31, A32, A33, B11, B21, B31, g1, g2, g3 [ Info: Inputs: u1 [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: beta11, beta12, beta21, beta22, r1, r2 [ Info: Inputs: [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: x1, x2, x3 [ Info: Parameters: T0, k, k1, k2, k3, k4, r1, r3 [ Info: Inputs: [ Info: Outputs: y1 [ Info: Summary of the model: [ Info: State variables: Sd, Sn, Ad, An, I [ Info: Parameters: ba, bi, delta, ea, es, f, gai, gir, h1, h2 [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: S, I, A, Q, J, R [ Info: Parameters: b, d1, d2, d3, d4, d5, d6, ea, ej, eq, g1, g2, k1, k2, l, m1, m2 [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: S, E, I [ Info: Parameters: K, L, N, b, e, g, m, r [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: Y2, Y1, Y3, Y4, Z0, Y0, Z1, Z2, Z3, w1, w2, I1, I4 [ Info: Parameters: D0, D1, D2, D3, D4, E0, E1, E2, E3, E4, J1, J2, J3, Tau, f1, m1, m2, m3, n, n1, n2, n3 [ Info: Inputs: [ Info: Outputs: O1, O2, O3, O4, O6, O7, O8, O9, O10 [ Info: Summary of the model: [ Info: State variables: U, I, V, T [ Info: Parameters: beta, c, d_I, k_T, p, r, s_T [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: U, I, V, T [ Info: Parameters: beta, c, c_T, d_I, k_T, p, r, s_T [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: U, I, V, T [ Info: Parameters: beta, c, d_I, d_T, k_T, p, r, s_T [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: U, I, V, T [ Info: Parameters: beta, c, c_T, d_I, d_T, k_T, p, r, s_T [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: U, I, V, T [ Info: Parameters: beta, c, d_I, p, r, s_T [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: U, I, V, T [ Info: Parameters: beta, c, c_T, d_I, p, r, s_T [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: U, I, V, T [ Info: Parameters: beta, c, d_I, d_T, p, r, s_T [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: U, I, V, T [ Info: Parameters: beta, c, c_T, d_I, d_T, p, r, s_T [ Info: Inputs: [ Info: Outputs: y1, y2 [ Info: Summary of the model: [ Info: State variables: A, I, H, R, D, E [ Info: Parameters: N, a, c1, c2, d, h, r1, r2, r3, s [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: C, T, I, X, Y [ Info: Parameters: k1, k2, ka, kb, kc, kd, ke, kf, kg, kh, ki_inv, kj, kk, kl_inv, km [ Info: Inputs: u [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13, x14, x15 [ Info: Parameters: a1, a2, a3, c1, c1a, c1c, c2, c2a, c2c, c3, c3a, c3c, c4, c4a, c5, c5a, c6a, e1a, e2a, i1, i1a, k1, k2, k3, k_deg, k_prod, kv, t1, t2 [ Info: Inputs: u [ Info: Outputs: y1, y2, y3, y4, y5, y6 Test Summary: | Total Time Core/benchmarks_valid.jl | 0 49.3s Test Summary: | Pass Total Time Core/check_primality_zerodim.jl | 5 5 2m26.2s [ 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/Sd6RX/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 44.5s Test Summary: | Pass Total Time Core/decompose_derivative.jl | 5 5 0.8s 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 15.4s [ 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 1.857828 seconds (827.94 k allocations: 48.218 MiB, 99.39% compilation time) 0.002141 seconds (8.01 k allocations: 380.195 KiB) 0.002359 seconds (12.90 k allocations: 590.719 KiB) 0.123002 seconds (12.86 k allocations: 583.969 KiB, 91.18% gc time) 0.002574 seconds (16.96 k allocations: 776.000 KiB) 0.001332 seconds (9.71 k allocations: 448.289 KiB) 0.000828 seconds (7.95 k allocations: 326.258 KiB) 12.513912 seconds (5.40 M allocations: 327.270 MiB, 1.21% gc time, 99.78% compilation time) Test Summary: | Pass Total Time Core/differentiate_output.jl | 58 58 43.8s [ 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 0.314764 seconds (86.72 k allocations: 5.497 MiB, 98.61% compilation time) [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: [ Info: Inputs: u [ Info: Outputs: y 0.017192 seconds (7.82 k allocations: 454.883 KiB, 94.98% compilation time) Test Summary: | Pass Total Time Core/diffreduction.jl | 6 6 25.6s Test Summary: | Pass Total Time Core/exp_vec_trie.jl | 800 800 2.3s [ Info: Summary of the model: [ Info: State variables: x [ Info: Parameters: a, b [ Info: Inputs: u [ Info: Outputs: y Test Summary: | Pass Total Time Core/exports.jl | 6 6 6.8s Test Summary: | Pass Total Time Core/extract_coefficients.jl | 9 9 3.6s [ 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 1.9s [ 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 0.002891243 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 1.862238454 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 0.013237284 seconds [ Info: Global identifiability assessed in 29.075815174 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Functions to check involve states [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002323458 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Global identifiability assessed in 1.379799774 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Global identifiability assessed in 5.4769e-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 0.031695307 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.269679485 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.4449e-5 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:14 ✓ # Computing specializations.. Time: 0:00:16 [ Info: Search for polynomial generators concluded in 14.868931091 [ Info: Selecting generators in 0.021728173 [ Info: Inclusion checked with probability 0.9955 in 0.042286976 seconds [ Info: Global identifiability assessed in 93.505385111 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Computing IO-equations [ Info: Computed IO-equations in 2.237026401 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 2.415422199 seconds [ Info: Dimensions of the Wronskians [676] [ Info: Ranks of the Wronskians computed in 0.151501064 seconds [ Info: Global identifiability assessed in 38.014356615 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.014120665 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.031020764 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000261457 seconds [ Info: Global identifiability assessed in 0.076952705 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 7.803231212 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002909643 seconds [ Info: Dimensions of the Wronskians [2, 3, 2] [ Info: Ranks of the Wronskians computed in 2.342e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.845238066 [ Info: Selecting generators in 0.000493255 [ Info: Inclusion checked with probability 0.9955 in 0.002686154 seconds [ Info: Global identifiability assessed in 11.353215633 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.0020549 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001394326 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.7339e-5 seconds [ Info: Global identifiability assessed in 0.005993303 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003279669 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001846402 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.141e-5 seconds [ Info: Global identifiability assessed in 0.008944525 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Functions to check involve states [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.006343349 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004655865 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.427e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.126136186 [ Info: Selecting generators in 0.030008064 [ Info: Inclusion checked with probability 0.9955 in 0.004779645 seconds [ Info: Global identifiability assessed in 2.277097606 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Functions to check involve states [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.008644907 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003627565 seconds [ Info: Dimensions of the Wronskians [2, 5] [ Info: Ranks of the Wronskians computed in 2.1319e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.010031885 [ Info: Selecting generators in 0.004960092 [ Info: Inclusion checked with probability 0.9955 in 0.004413618 seconds [ Info: Global identifiability assessed in 0.236333825 seconds Test Summary: | Pass Total Time Core/identifiability.jl | 11 11 4m02.6s [ 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 0.001650515 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001195028 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 3.043e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.1219e-5 [ Info: Selecting generators in 0.000534085 [ Info: Inclusion checked with probability 0.995 in 0.002328068 seconds [ Info: The search for identifiable functions concluded in 0.44239732 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 0.001531605 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000975581 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 5.046e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.012e-5 [ Info: Selecting generators in 0.000701373 [ Info: Inclusion checked with probability 0.995 in 0.001882692 seconds [ Info: The search for identifiable functions concluded in 0.010369001 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 0.001220899 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000897421 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.3769e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 6.7699e-5 [ Info: Selecting generators in 0.000745752 [ Info: Inclusion checked with probability 0.995 in 0.00205192 seconds [ Info: The search for identifiable functions concluded in 0.010255532 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 0.001257728 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00101666 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.8799e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000469886 [ Info: Selecting generators in 0.000748523 [ Info: Inclusion checked with probability 0.995 in 0.001971321 seconds [ Info: The search for identifiable functions concluded in 0.010701358 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 0.001239478 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000941291 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.0759e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000397476 [ Info: Selecting generators in 0.000791222 [ Info: Inclusion checked with probability 0.995 in 0.001729784 seconds [ Info: The search for identifiable functions concluded in 0.009985975 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 0.001289017 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000928111 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.743e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000444186 [ Info: Selecting generators in 0.000818232 [ Info: Inclusion checked with probability 0.995 in 0.001769903 seconds [ Info: The search for identifiable functions concluded in 0.01040912 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 0.002022701 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001147019 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 2.547e-5 seconds [ Info: The search for identifiable functions concluded in 0.040182806 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001589634 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001118879 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.825e-5 seconds [ Info: The search for identifiable functions concluded in 0.003595586 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001272158 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00102572 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.904e-5 seconds [ Info: The search for identifiable functions concluded in 0.003167989 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001514576 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000934721 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.837e-5 seconds [ Info: The search for identifiable functions concluded in 0.003339438 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001409216 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000972931 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 2.051e-5 seconds [ Info: The search for identifiable functions concluded in 0.003248689 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001324597 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00100383 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.709e-5 seconds [ Info: The search for identifiable functions concluded in 0.003212549 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001936501 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00111627 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.754e-5 seconds [ Info: The search for identifiable functions concluded in 0.004002311 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001946912 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001110189 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 2.0119e-5 seconds [ Info: The search for identifiable functions concluded in 0.00414019 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001980511 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001178999 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 2.1919e-5 seconds [ Info: The search for identifiable functions concluded in 0.00423463 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001750033 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001287007 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 2.087e-5 seconds [ Info: The search for identifiable functions concluded in 0.003920382 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001850312 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00104981 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 2.416e-5 seconds [ Info: The search for identifiable functions concluded in 0.004045541 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001698224 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001118619 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 2.1839e-5 seconds [ Info: The search for identifiable functions concluded in 0.003849813 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.507173631 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00200888 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.0169e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.039e-5 [ Info: Selecting generators in 0.000771043 [ Info: Inclusion checked with probability 0.995 in 0.001780593 seconds [ Info: The search for identifiable functions concluded in 0.516920539 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 0.001832853 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001442296 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.9469e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 5.124e-5 [ Info: Selecting generators in 0.000602994 [ Info: Inclusion checked with probability 0.995 in 0.001408226 seconds [ Info: The search for identifiable functions concluded in 0.009054763 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 0.00203149 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001408527 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.546e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 5.39e-5 [ Info: Selecting generators in 0.000463606 [ Info: Inclusion checked with probability 0.995 in 0.001457836 seconds [ Info: The search for identifiable functions concluded in 0.009478439 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 0.002226449 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001531925 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.07e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000377576 [ Info: Selecting generators in 0.000731243 [ Info: Inclusion checked with probability 0.995 in 0.001520346 seconds [ Info: The search for identifiable functions concluded in 0.010809317 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 0.002330648 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001316997 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.101e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000343937 [ Info: Selecting generators in 0.000630974 [ Info: Inclusion checked with probability 0.995 in 0.001897742 seconds [ Info: The search for identifiable functions concluded in 0.011005525 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 0.002262798 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001418676 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.0909e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000330757 [ Info: Selecting generators in 0.000461526 [ Info: Inclusion checked with probability 0.995 in 0.001655934 seconds [ Info: The search for identifiable functions concluded in 0.010227903 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 0.001331478 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00107945 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.108e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.0349e-5 [ Info: Selecting generators in 0.002188229 [ Info: Inclusion checked with probability 0.995 in 0.003546306 seconds [ Info: The search for identifiable functions concluded in 0.017082287 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 0.001208378 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000951201 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 1.813e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.9469e-5 [ Info: Selecting generators in 0.001856773 [ Info: Inclusion checked with probability 0.995 in 0.003276789 seconds [ Info: The search for identifiable functions concluded in 0.01568685 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 0.001183888 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001008441 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 1.952e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.0109e-5 [ Info: Selecting generators in 0.002224379 [ Info: Inclusion checked with probability 0.995 in 0.003684725 seconds [ Info: The search for identifiable functions concluded in 0.018161917 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 0.001285988 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001193828 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.256e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.202651417 [ Info: Selecting generators in 0.003505246 [ Info: Inclusion checked with probability 0.995 in 0.003209539 seconds [ Info: The search for identifiable functions concluded in 0.221105141 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 0.001255408 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00103327 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.659e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.01780924 [ Info: Selecting generators in 0.003239599 [ Info: Inclusion checked with probability 0.995 in 0.003397328 seconds [ Info: The search for identifiable functions concluded in 0.035912887 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 0.001309157 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001104199 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 4.3179e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.01785003 [ Info: Selecting generators in 0.003428757 [ Info: Inclusion checked with probability 0.995 in 0.00318285 seconds [ Info: The search for identifiable functions concluded in 0.036127665 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 0.001295828 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000838292 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.337e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.4859e-5 [ Info: Selecting generators in 0.001594975 [ Info: Inclusion checked with probability 0.995 in 0.002344548 seconds [ Info: The search for identifiable functions concluded in 0.913232018 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 0.001161179 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000776203 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.6759e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 5.9679e-5 [ Info: Selecting generators in 0.001433436 [ Info: Inclusion checked with probability 0.995 in 0.002032221 seconds [ Info: The search for identifiable functions concluded in 0.0104764 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 0.001151559 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000903422 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.153e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.856e-5 [ Info: Selecting generators in 0.001939432 [ Info: Inclusion checked with probability 0.995 in 0.002617895 seconds [ Info: The search for identifiable functions concluded in 0.01254055 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 0.001188639 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000872872 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.765e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.172065839 [ Info: Selecting generators in 0.002189879 [ Info: Inclusion checked with probability 0.995 in 0.002427127 seconds [ Info: The search for identifiable functions concluded in 0.184104894 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 0.001225709 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000933321 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.998e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006039882 [ Info: Selecting generators in 0.00209625 [ Info: Inclusion checked with probability 0.995 in 0.002535705 seconds [ Info: The search for identifiable functions concluded in 0.018522653 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 0.001192518 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000873962 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.8169e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006003053 [ Info: Selecting generators in 0.002041101 [ Info: Inclusion checked with probability 0.995 in 0.002455437 seconds [ Info: The search for identifiable functions concluded in 0.018026058 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 0.0021442 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001461646 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.872e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.8929e-5 [ Info: Selecting generators in 0.000533815 [ Info: Inclusion checked with probability 0.995 in 0.002487376 seconds [ Info: The search for identifiable functions concluded in 0.015488973 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 0.00213356 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001509026 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.125e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.8429e-5 [ Info: Selecting generators in 0.000548645 [ Info: Inclusion checked with probability 0.995 in 0.002822603 seconds [ Info: The search for identifiable functions concluded in 0.015927428 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 0.001983331 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001621954 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.954e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.352e-5 [ Info: Selecting generators in 0.000607344 [ Info: Inclusion checked with probability 0.995 in 0.002652145 seconds [ Info: The search for identifiable functions concluded in 0.015959808 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 0.00203041 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001389047 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.8599e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.007885344 [ Info: Selecting generators in 0.000616454 [ Info: Inclusion checked with probability 0.995 in 0.002732234 seconds [ Info: The search for identifiable functions concluded in 0.023714054 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 0.00211774 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001492426 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.734e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.007577748 [ Info: Selecting generators in 0.000751323 [ Info: Inclusion checked with probability 0.995 in 0.002753464 seconds [ Info: The search for identifiable functions concluded in 0.023692804 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 0.002193019 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001409836 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.916e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.007988963 [ Info: Selecting generators in 0.000648994 [ Info: Inclusion checked with probability 0.995 in 0.002517036 seconds [ Info: The search for identifiable functions concluded in 0.023375867 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 0.002986041 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001910512 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.078e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.2059e-5 [ Info: Selecting generators in 0.002794343 [ Info: Inclusion checked with probability 0.995 in 0.003234309 seconds [ Info: The search for identifiable functions concluded in 0.020491375 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 0.002702034 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001723173 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 1.818e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.1729e-5 [ Info: Selecting generators in 0.003072171 [ Info: Inclusion checked with probability 0.995 in 0.003225179 seconds [ Info: The search for identifiable functions concluded in 0.020507115 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 0.002701194 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001741753 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.1539e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.496e-5 [ Info: Selecting generators in 0.003029321 [ Info: Inclusion checked with probability 0.995 in 0.003270969 seconds [ Info: The search for identifiable functions concluded in 0.020392075 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 0.002560085 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001736804 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.122e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.018297015 [ Info: Selecting generators in 0.003069851 [ Info: Inclusion checked with probability 0.995 in 0.00312949 seconds [ Info: The search for identifiable functions concluded in 0.038578082 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 0.002625774 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001832283 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.082e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.01777977 [ Info: Selecting generators in 0.003250069 [ Info: Inclusion checked with probability 0.995 in 0.003368698 seconds [ Info: The search for identifiable functions concluded in 0.038687441 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 0.002643674 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001918452 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.277e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.016378053 [ Info: Selecting generators in 0.002901142 [ Info: Inclusion checked with probability 0.995 in 0.003049231 seconds [ Info: The search for identifiable functions concluded in 0.036840219 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 0.395992942 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005170491 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.582e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000110679 [ Info: Selecting generators in 0.008485949 [ Info: Inclusion checked with probability 0.995 in 0.004980773 seconds [ Info: The search for identifiable functions concluded in 0.605259776 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 0.007439599 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004832084 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.197e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000112338 [ Info: Selecting generators in 0.009517519 [ Info: Inclusion checked with probability 0.995 in 0.006391389 seconds [ Info: The search for identifiable functions concluded in 0.047270199 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 0.006624357 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005017002 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.182e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.5679e-5 [ Info: Selecting generators in 0.007943194 [ Info: Inclusion checked with probability 0.995 in 0.004319339 seconds [ Info: The search for identifiable functions concluded in 0.040833591 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 0.005933974 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004504307 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 2.747e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001946292 [ Info: Selecting generators in 0.008778376 [ Info: Inclusion checked with probability 0.995 in 0.00526298 seconds [ Info: The search for identifiable functions concluded in 0.044270438 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 0.006529848 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004825044 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 2.757e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001922741 [ Info: Selecting generators in 0.008763046 [ Info: Inclusion checked with probability 0.995 in 0.005946234 seconds [ Info: The search for identifiable functions concluded in 0.046426797 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 0.007211021 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005477677 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 2.621e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001955481 [ Info: Selecting generators in 0.009683907 [ Info: Inclusion checked with probability 0.995 in 0.0063503 seconds [ Info: The search for identifiable functions concluded in 0.051493169 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 0.004521937 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003291249 seconds [ Info: Dimensions of the Wronskians [5] [ 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 8.104e-5 [ Info: Selecting generators in 0.001673535 [ Info: Inclusion checked with probability 0.995 in 0.003759664 seconds [ Info: The search for identifiable functions concluded in 0.022827612 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 0.004684335 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003260929 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.673e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.8289e-5 [ Info: Selecting generators in 0.001611184 [ Info: Inclusion checked with probability 0.995 in 0.003548186 seconds [ Info: The search for identifiable functions concluded in 0.022416576 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 0.004332829 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002985032 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.139e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.4909e-5 [ Info: Selecting generators in 0.001768713 [ Info: Inclusion checked with probability 0.995 in 0.003738154 seconds [ Info: The search for identifiable functions concluded in 0.02203605 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 0.004763344 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003240739 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.692e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001128329 [ Info: Selecting generators in 0.001724364 [ Info: Inclusion checked with probability 0.995 in 0.003655306 seconds [ Info: The search for identifiable functions concluded in 0.023770663 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 0.004734925 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003260909 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.638e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.003407637 [ Info: Selecting generators in 0.006962344 [ Info: Inclusion checked with probability 0.995 in 0.013248883 seconds [ Info: The search for identifiable functions concluded in 0.04190593 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 0.012127284 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.009653758 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.916e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001526515 [ Info: Selecting generators in 0.001960412 [ Info: Inclusion checked with probability 0.995 in 0.013452091 seconds [ Info: The search for identifiable functions concluded in 0.072564778 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 0.004746775 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003111471 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 1.652e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.9799e-5 [ Info: Selecting generators in 0.002317238 [ Info: Inclusion checked with probability 0.995 in 0.003072001 seconds [ Info: The search for identifiable functions concluded in 0.025880363 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 0.005060541 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002856593 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.094e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.243e-5 [ Info: Selecting generators in 0.002210709 [ Info: Inclusion checked with probability 0.995 in 0.003842194 seconds [ Info: The search for identifiable functions concluded in 0.027136711 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 0.005018042 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003031101 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 3.421e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.575e-5 [ Info: Selecting generators in 0.002187999 [ Info: Inclusion checked with probability 0.995 in 0.003186899 seconds [ Info: The search for identifiable functions concluded in 0.026960992 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 0.004692955 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003044841 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 1.86e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.330043531 [ Info: Selecting generators in 0.003750304 [ Info: Inclusion checked with probability 0.995 in 0.003629765 seconds [ Info: The search for identifiable functions concluded in 0.358743967 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 0.004554636 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002515026 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 0.000140479 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.029689677 [ Info: Selecting generators in 0.003881943 [ Info: Inclusion checked with probability 0.995 in 0.003643855 seconds [ Info: The search for identifiable functions concluded in 0.057247134 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 0.004998703 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002791683 seconds [ Info: Dimensions of the Wronskians [4] [ 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 0.022940021 [ Info: Selecting generators in 0.003580735 [ Info: Inclusion checked with probability 0.995 in 0.003548117 seconds [ Info: The search for identifiable functions concluded in 0.051516008 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 0.002389167 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001695934 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 8.3329e-5 [ Info: Selecting generators in 0.001740594 [ Info: Inclusion checked with probability 0.995 in 0.003024251 seconds [ Info: The search for identifiable functions concluded in 0.016911888 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 0.002485916 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001675834 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.061e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.1979e-5 [ Info: Selecting generators in 0.001515916 [ Info: Inclusion checked with probability 0.995 in 0.003076551 seconds [ Info: The search for identifiable functions concluded in 0.017154686 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 0.002454706 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001653164 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.1069e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.3839e-5 [ Info: Selecting generators in 0.001594785 [ Info: Inclusion checked with probability 0.995 in 0.003318968 seconds [ Info: The search for identifiable functions concluded in 0.017547643 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 0.002562795 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001697753 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.227e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.014902778 [ Info: Selecting generators in 0.002324758 [ Info: Inclusion checked with probability 0.995 in 0.002794184 seconds [ Info: The search for identifiable functions concluded in 0.033096774 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 0.002270009 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001717584 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.07e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.013957797 [ Info: Selecting generators in 0.002577836 [ Info: Inclusion checked with probability 0.995 in 0.002784343 seconds [ Info: The search for identifiable functions concluded in 0.031571589 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 0.002256068 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001532025 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.733e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.013724299 [ Info: Selecting generators in 0.002473536 [ Info: Inclusion checked with probability 0.995 in 0.002933142 seconds [ Info: The search for identifiable functions concluded in 0.030354161 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 0.013826018 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.02729785 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000297317 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:07 ✓ # Computing specializations.. Time: 0:00:07 [ Info: Search for polynomial generators concluded in 0.000109389 [ Info: Selecting generators in 0.016812469 [ Info: Inclusion checked with probability 0.995 in 0.028223981 seconds [ Info: The search for identifiable functions concluded in 13.901675585 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 0.015527902 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.027865644 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000313587 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000102299 [ Info: Selecting generators in 0.016114186 [ Info: Inclusion checked with probability 0.995 in 0.027425638 seconds [ Info: The search for identifiable functions concluded in 0.170004478 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 0.014136675 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.028789216 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000308887 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.8449e-5 [ Info: Selecting generators in 0.01577211 [ Info: Inclusion checked with probability 0.995 in 0.02521057 seconds [ Info: The search for identifiable functions concluded in 0.166413862 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 0.014076996 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.027786345 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000305388 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.182980656 [ Info: Selecting generators in 0.014594161 [ Info: Inclusion checked with probability 0.995 in 0.024580735 seconds [ Info: The search for identifiable functions concluded in 1.346018421 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 0.012548461 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.026413238 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000270918 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.058188555 [ Info: Selecting generators in 0.015884888 [ Info: Inclusion checked with probability 0.995 in 0.028131002 seconds [ Info: The search for identifiable functions concluded in 1.14175056 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 0.014191224 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.030200182 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000334636 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.066843673 [ Info: Selecting generators in 0.015517732 [ Info: Inclusion checked with probability 0.995 in 0.025371798 seconds [ Info: The search for identifiable functions concluded in 0.239130849 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 1.878013387 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 7.582925975 seconds [ Info: Dimensions of the Wronskians [830, 3] [ Info: Ranks of the Wronskians computed in 0.185072825 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: 7   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.000114179 [ Info: Selecting generators in 1.202831219 [ Info: Inclusion checked with probability 0.995 in 2.164971022 seconds [ Info: The search for identifiable functions concluded in 18.53694795 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 1.725631552 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 8.054987501 seconds [ Info: Dimensions of the Wronskians [830, 3] [ Info: Ranks of the Wronskians computed in 0.188876719 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: 8   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.000112579 [ Info: Selecting generators in 1.702212187 [ Info: Inclusion checked with probability 0.995 in 1.636402865 seconds [ Info: The search for identifiable functions concluded in 18.445368693 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[nu, mu, g, b0, M^2] │ case = │ (ode = s'(t) = -s(t)*i(t)*x1(t)*b0*b1 - s(t)*i(t)*b0 - s(t)*mu + r(t)*g + mu │ i'(t) = s(t)*i(t)*x1(t)*b0*b1 + s(t)*i(t)*b0 - i(t)*mu - i(t)*nu │ r'(t) = i(t)*nu - r(t)*g - r(t)*mu │ x1'(t) = -x2(t)*M │ x2'(t) = x1(t)*M │ y1(t) = i(t) │ y2(t) = r(t) │ , ident_funcs = Nemo.QQMPolyRingElem[g, mu, b0, nu, M^2]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 13 variables s(t), i(t), r(t), x1(t), ..., nu │ over rational field └ with_states = false [ Info: Computing IO-equations [ Info: Computed IO-equations in 2.067490295 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 7.96996391 seconds [ Info: Dimensions of the Wronskians [830, 3] [ Info: Ranks of the Wronskians computed in 0.230115826 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: 6   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.000188018 [ Info: Selecting generators in 0.423799669 [ Info: Inclusion checked with probability 0.995 in 2.57465236 seconds [ Info: The search for identifiable functions concluded in 19.124574426 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 1.812145322 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 8.064961323 seconds [ Info: Dimensions of the Wronskians [830, 3] [ Info: Ranks of the Wronskians computed in 0.204295243 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 [ Info: Search for polynomial generators concluded in 0.054760348 [ Info: Selecting generators in 1.39711322 [ Info: Inclusion checked with probability 0.995 in 1.703707967 seconds [ Info: The search for identifiable functions concluded in 18.664927188 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[nu, mu, g, b0, M^2] │ case = │ (ode = s'(t) = -s(t)*i(t)*x1(t)*b0*b1 - s(t)*i(t)*b0 - s(t)*mu + r(t)*g + mu │ i'(t) = s(t)*i(t)*x1(t)*b0*b1 + s(t)*i(t)*b0 - i(t)*mu - i(t)*nu │ r'(t) = i(t)*nu - r(t)*g - r(t)*mu │ x1'(t) = -x2(t)*M │ x2'(t) = x1(t)*M │ y1(t) = i(t) │ y2(t) = r(t) │ , ident_funcs = Nemo.QQMPolyRingElem[g, mu, b0, nu, M^2]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 13 variables s(t), i(t), r(t), x1(t), ..., nu │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[s(t), i(t), r(t), x1(t), x2(t), y1(t), y2(t), M, b0, b1, g, mu, nu] [ Info: Computing IO-equations [ Info: Computed IO-equations in 2.113108315 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 8.337577152 seconds [ Info: Dimensions of the Wronskians [830, 3] [ Info: Ranks of the Wronskians computed in 0.186499872 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: 2   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.036082186 [ Info: Selecting generators in 0.528757379 [ Info: Inclusion checked with probability 0.995 in 2.777151206 seconds [ Info: The search for identifiable functions concluded in 19.350169228 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[nu, mu, g, b0, M^2] │ case = │ (ode = s'(t) = -s(t)*i(t)*x1(t)*b0*b1 - s(t)*i(t)*b0 - s(t)*mu + r(t)*g + mu │ i'(t) = s(t)*i(t)*x1(t)*b0*b1 + s(t)*i(t)*b0 - i(t)*mu - i(t)*nu │ r'(t) = i(t)*nu - r(t)*g - r(t)*mu │ x1'(t) = -x2(t)*M │ x2'(t) = x1(t)*M │ y1(t) = i(t) │ y2(t) = r(t) │ , ident_funcs = Nemo.QQMPolyRingElem[g, mu, b0, nu, M^2]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 13 variables s(t), i(t), r(t), x1(t), ..., nu │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[s(t), i(t), r(t), x1(t), x2(t), y1(t), y2(t), M, b0, b1, g, mu, nu] [ Info: Computing IO-equations [ Info: Computed IO-equations in 2.179887799 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 8.087686694 seconds [ Info: Dimensions of the Wronskians [830, 3] [ Info: Ranks of the Wronskians computed in 0.18048255 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 [ Info: Search for polynomial generators concluded in 0.048164971 [ Info: Selecting generators in 1.330814965 [ Info: Inclusion checked with probability 0.995 in 2.655193011 seconds [ Info: The search for identifiable functions concluded in 19.875706968 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 0.0147159 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.012475431 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.444e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000119138 [ Info: Selecting generators in 0.01042452 [ Info: Inclusion checked with probability 0.995 in 0.010280622 seconds [ Info: The search for identifiable functions concluded in 0.09134681 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 0.016037257 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.012979406 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 4.3389e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000137689 [ Info: Selecting generators in 0.008759106 [ Info: Inclusion checked with probability 0.995 in 0.009008154 seconds [ Info: The search for identifiable functions concluded in 0.088609836 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 0.013472601 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.011734328 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.541e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000100309 [ Info: Selecting generators in 0.00840275 [ Info: Inclusion checked with probability 0.995 in 0.008500549 seconds [ Info: The search for identifiable functions concluded in 0.080543392 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 0.012515301 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.011076944 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.8169e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.042627274 [ Info: Selecting generators in 0.013357883 [ Info: Inclusion checked with probability 0.995 in 0.008843466 seconds [ Info: The search for identifiable functions concluded in 0.125268886 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 0.012223503 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.010758097 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.795e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.041312066 [ Info: Selecting generators in 0.010740078 [ Info: Inclusion checked with probability 0.995 in 0.007721526 seconds [ Info: The search for identifiable functions concluded in 0.117310832 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 0.010365802 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.010056154 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.775e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.038715671 [ Info: Selecting generators in 0.011172254 [ Info: Inclusion checked with probability 0.995 in 0.007687417 seconds [ Info: The search for identifiable functions concluded in 0.109206859 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 0.010332871 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00632165 seconds [ Info: Dimensions of the Wronskians [8] [ Info: Ranks of the Wronskians computed in 2.465e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000233558 [ Info: Selecting generators in 0.033332503 [ Info: Inclusion checked with probability 0.995 in 0.011940606 seconds [ Info: The search for identifiable functions concluded in 0.599285808 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 0.011180223 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006734996 seconds [ Info: Dimensions of the Wronskians [8] [ Info: Ranks of the Wronskians computed in 2.616e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000236248 [ Info: Selecting generators in 0.036581931 [ Info: Inclusion checked with probability 0.995 in 0.012152334 seconds [ Info: The search for identifiable functions concluded in 0.419155865 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 0.012323362 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007092712 seconds [ Info: Dimensions of the Wronskians [8] [ Info: Ranks of the Wronskians computed in 2.688e-5 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:01 Points: 101   ✓ # Computing specializations.. Time: 0:00:01 [ Info: Search for polynomial generators concluded in 0.000223118 [ Info: Selecting generators in 0.045026261 [ Info: Inclusion checked with probability 0.995 in 0.013011636 seconds [ Info: The search for identifiable functions concluded in 1.944171879 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 0.012327123 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007501159 seconds [ Info: Dimensions of the Wronskians [8] [ Info: Ranks of the Wronskians computed in 5.1899e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 2.61240983 [ Info: Selecting generators in 0.05358534 [ Info: Inclusion checked with probability 0.995 in 0.010814237 seconds [ Info: The search for identifiable functions concluded in 3.075916332 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 0.010710138 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006318 seconds [ Info: Dimensions of the Wronskians [8] [ Info: Ranks of the Wronskians computed in 2.684e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.108094438 [ Info: Selecting generators in 0.086173519 [ Info: Inclusion checked with probability 0.995 in 0.013772859 seconds [ Info: The search for identifiable functions concluded in 1.572242884 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 0.014057486 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.008261221 seconds [ Info: Dimensions of the Wronskians [8] [ Info: Ranks of the Wronskians computed in 2.65e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.302316339 [ Info: Selecting generators in 0.058571231 [ Info: Inclusion checked with probability 0.995 in 0.011660029 seconds [ Info: The search for identifiable functions concluded in 0.709838124 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 0.020676723 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.013463052 seconds [ Info: Dimensions of the Wronskians [3, 36] [ Info: Ranks of the Wronskians computed in 7.1759e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000106499 [ Info: Selecting generators in 0.008884635 [ Info: Inclusion checked with probability 0.995 in 0.012276213 seconds [ Info: The search for identifiable functions concluded in 0.092540358 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 0.018269426 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.0136424 seconds [ Info: Dimensions of the Wronskians [3, 36] [ Info: Ranks of the Wronskians computed in 6.9379e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000105869 [ Info: Selecting generators in 0.008236952 [ Info: Inclusion checked with probability 0.995 in 0.01259306 seconds [ Info: The search for identifiable functions concluded in 0.092221811 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 0.019747262 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.013079916 seconds [ Info: Dimensions of the Wronskians [3, 36] [ Info: Ranks of the Wronskians computed in 7.23e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000102019 [ Info: Selecting generators in 0.00836131 [ Info: Inclusion checked with probability 0.995 in 0.012815568 seconds [ Info: The search for identifiable functions concluded in 0.094126993 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 0.019509444 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.013116995 seconds [ Info: Dimensions of the Wronskians [3, 36] [ Info: Ranks of the Wronskians computed in 8.2409e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.060508673 [ Info: Selecting generators in 0.015446943 [ Info: Inclusion checked with probability 0.995 in 0.012205843 seconds [ Info: The search for identifiable functions concluded in 0.161811328 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 0.020496145 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.01475607 seconds [ Info: Dimensions of the Wronskians [3, 36] [ Info: Ranks of the Wronskians computed in 7.4009e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.066283819 [ Info: Selecting generators in 0.014999767 [ Info: Inclusion checked with probability 0.995 in 0.786278406 seconds [ Info: The search for identifiable functions concluded in 0.949389031 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 0.025030161 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.018330396 seconds [ Info: Dimensions of the Wronskians [3, 36] [ Info: Ranks of the Wronskians computed in 7.1539e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.072594149 [ Info: Selecting generators in 0.016318164 [ Info: Inclusion checked with probability 0.995 in 0.013533161 seconds [ Info: The search for identifiable functions concluded in 0.206210365 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 0.012325842 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.016070077 seconds [ Info: Dimensions of the Wronskians [32] [ Info: Ranks of the Wronskians computed in 6.3529e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000116899 [ Info: Selecting generators in 0.071494369 [ Info: Inclusion checked with probability 0.995 in 0.015868659 seconds [ Info: The search for identifiable functions concluded in 0.476263371 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 0.010623069 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.013887218 seconds [ Info: Dimensions of the Wronskians [32] [ Info: Ranks of the Wronskians computed in 6.049e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000148739 [ Info: Selecting generators in 0.066915322 [ Info: Inclusion checked with probability 0.995 in 0.015414693 seconds [ Info: The search for identifiable functions concluded in 0.451824804 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 0.010113724 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.014380502 seconds [ Info: Dimensions of the Wronskians [32] [ Info: Ranks of the Wronskians computed in 6.0909e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000162458 [ Info: Selecting generators in 0.085817842 [ Info: Inclusion checked with probability 0.995 in 0.017983129 seconds [ Info: The search for identifiable functions concluded in 0.512988611 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 0.842462231 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.017591492 seconds [ Info: Dimensions of the Wronskians [32] [ Info: Ranks of the Wronskians computed in 5.7779e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.105745042 [ Info: Selecting generators in 0.082121218 [ Info: Inclusion checked with probability 0.995 in 0.015454083 seconds [ Info: The search for identifiable functions concluded in 1.483856737 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 0.010621729 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.015171206 seconds [ Info: Dimensions of the Wronskians [32] [ Info: Ranks of the Wronskians computed in 5.9909e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.116312022 [ Info: Selecting generators in 0.07354044 [ Info: Inclusion checked with probability 0.995 in 0.014558001 seconds [ Info: The search for identifiable functions concluded in 0.594203066 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 0.010395411 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.014118145 seconds [ Info: Dimensions of the Wronskians [32] [ Info: Ranks of the Wronskians computed in 8.7799e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.127530184 [ Info: Selecting generators in 1.425064578 [ Info: Inclusion checked with probability 0.995 in 0.01994987 seconds [ Info: The search for identifiable functions concluded in 2.944308028 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 2.727689794 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.060252805 seconds [ Info: Dimensions of the Wronskians [34, 2] [ Info: Ranks of the Wronskians computed in 7.7559e-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: 6   ⌝ # Computing specializations.. Time: 0:00:00 Points: 17   ⌟ # Computing specializations.. Time: 0:00:01 Points: 26   ⌞ # Computing specializations.. Time: 0:00:01 Points: 36   ⌜ # Computing specializations.. Time: 0:00:01 Points: 46   ⌝ # Computing specializations.. Time: 0:00:02 Points: 55   ⌟ # Computing specializations.. Time: 0:00:02 Points: 65   ⌞ # Computing specializations.. Time: 0:00:03 Points: 73   ⌜ # Computing specializations.. Time: 0:00:03 Points: 83   ⌝ # Computing specializations.. Time: 0:00:04 Points: 92   ✓ # 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 Points: 8   ⌝ # Computing specializations.. Time: 0:00:00 Points: 18   ⌟ # Computing specializations.. Time: 0:00:01 Points: 28   ⌞ # Computing specializations.. Time: 0:00:01 Points: 38   ⌜ # Computing specializations.. Time: 0:00:01 Points: 49   ⌝ # Computing specializations.. Time: 0:00:02 Points: 58   ⌟ # Computing specializations.. Time: 0:00:02 Points: 68   ⌞ # Computing specializations.. Time: 0:00:03 Points: 77   ⌜ # Computing specializations.. Time: 0:00:03 Points: 86   ⌝ # Computing specializations.. Time: 0:00:03 Points: 96   ⌟ # Computing specializations.. Time: 0:00:04 Points: 106   ⌞ # Computing specializations.. Time: 0:00:04 Points: 116   ⌜ # Computing specializations.. Time: 0:00:04 Points: 127   ⌝ # Computing specializations.. Time: 0:00:05 Points: 136   ⌟ # Computing specializations.. Time: 0:00:05 Points: 146   ⌞ # Computing specializations.. Time: 0:00:06 Points: 155   ⌜ # Computing specializations.. Time: 0:00:06 Points: 164   ⌝ # Computing specializations.. Time: 0:00:06 Points: 175   ⌟ # Computing specializations.. Time: 0:00:07 Points: 184   ⌞ # Computing specializations.. Time: 0:00:08 Points: 194   ⌜ # Computing specializations.. Time: 0:00:08 Points: 204   ⌝ # Computing specializations.. Time: 0:00:08 Points: 214   ⌟ # Computing specializations.. Time: 0:00:09 Points: 224   ⌞ # Computing specializations.. Time: 0:00:09 Points: 232   ⌜ # Computing specializations.. Time: 0:00:10 Points: 242   ⌝ # Computing specializations.. Time: 0:00:10 Points: 252   ⌟ # Computing specializations.. Time: 0:00:10 Points: 261   ⌞ # Computing specializations.. Time: 0:00:11 Points: 271   ⌜ # Computing specializations.. Time: 0:00:11 Points: 281   ⌝ # Computing specializations.. Time: 0:00:12 Points: 291   ⌟ # Computing specializations.. Time: 0:00:12 Points: 301   ⌞ # Computing specializations.. Time: 0:00:12 Points: 311   ⌜ # Computing specializations.. Time: 0:00:13 Points: 321   ⌝ # Computing specializations.. Time: 0:00:13 Points: 329   ⌟ # Computing specializations.. Time: 0:00:13 Points: 339   ⌞ # Computing specializations.. Time: 0:00:14 Points: 347   ⌜ # Computing specializations.. Time: 0:00:14 Points: 357   ⌝ # Computing specializations.. Time: 0:00:15 Points: 366   ⌟ # Computing specializations.. Time: 0:00:15 Points: 375   ⌞ # Computing specializations.. Time: 0:00:15 Points: 385   ⌜ # Computing specializations.. Time: 0:00:16 Points: 395   ⌝ # Computing specializations.. Time: 0:00:16 Points: 405   ⌟ # Computing specializations.. Time: 0:00:17 Points: 415   ⌞ # Computing specializations.. Time: 0:00:17 Points: 425   ⌜ # Computing specializations.. Time: 0:00:17 Points: 433   ⌝ # Computing specializations.. Time: 0:00:18 Points: 444   ⌟ # Computing specializations.. Time: 0:00:19 Points: 454   ⌞ # Computing specializations.. Time: 0:00:19 Points: 464   ⌜ # Computing specializations.. Time: 0:00:19 Points: 474   ⌝ # Computing specializations.. Time: 0:00:20 Points: 484   ⌟ # Computing specializations.. Time: 0:00:20 Points: 494   ⌞ # Computing specializations.. Time: 0:00:21 Points: 505   ⌜ # Computing specializations.. Time: 0:00:21 Points: 515   ⌝ # Computing specializations.. Time: 0:00:21 Points: 525   ⌟ # Computing specializations.. Time: 0:00:22 Points: 535   ⌞ # Computing specializations.. Time: 0:00:22 Points: 545   ⌜ # Computing specializations.. Time: 0:00:23 Points: 554   ⌝ # Computing specializations.. Time: 0:00:23 Points: 564   ⌟ # Computing specializations.. Time: 0:00:23 Points: 573   ⌞ # Computing specializations.. Time: 0:00:24 Points: 584   ⌜ # Computing specializations.. Time: 0:00:24 Points: 594   ⌝ # Computing specializations.. Time: 0:00:24 Points: 606   ⌟ # Computing specializations.. Time: 0:00:25 Points: 617   ⌞ # Computing specializations.. Time: 0:00:25 Points: 626   ⌜ # Computing specializations.. Time: 0:00:26 Points: 636   ✓ # Computing specializations.. Time: 0:00:26 [ Info: Search for polynomial generators concluded in 0.000279537 [ Info: Selecting generators in 0.04299525 [ Info: Inclusion checked with probability 0.995 in 8.063500093 seconds [ Info: The search for identifiable functions concluded in 58.137682457 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 2.760966465 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.064358577 seconds [ Info: Dimensions of the Wronskians [34, 2] [ Info: Ranks of the Wronskians computed in 9.8659e-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: 15   ⌟ # Computing specializations.. Time: 0:00:01 Points: 25   ⌞ # Computing specializations.. Time: 0:00:01 Points: 35   ⌜ # Computing specializations.. Time: 0:00:01 Points: 43   ⌝ # Computing specializations.. Time: 0:00:02 Points: 53   ⌟ # Computing specializations.. Time: 0:00:02 Points: 63   ⌞ # Computing specializations.. Time: 0:00:03 Points: 74   ⌜ # Computing specializations.. Time: 0:00:04 Points: 83   ⌝ # 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: 10   ⌝ # Computing specializations.. Time: 0:00:00 Points: 17   ⌟ # Computing specializations.. Time: 0:00:01 Points: 26   ⌞ # Computing specializations.. Time: 0:00:01 Points: 35   ⌜ # Computing specializations.. Time: 0:00:01 Points: 44   ⌝ # Computing specializations.. Time: 0:00:02 Points: 53   ⌟ # Computing specializations.. Time: 0:00:02 Points: 63   ⌞ # Computing specializations.. Time: 0:00:02 Points: 71   ⌜ # Computing specializations.. Time: 0:00:03 Points: 81   ⌝ # Computing specializations.. Time: 0:00:03 Points: 89   ⌟ # Computing specializations.. Time: 0:00:03 Points: 99   ⌞ # Computing specializations.. Time: 0:00:04 Points: 107   ⌜ # Computing specializations.. Time: 0:00:04 Points: 117   ⌝ # Computing specializations.. Time: 0:00:05 Points: 125   ⌟ # Computing specializations.. Time: 0:00:05 Points: 134   ⌞ # Computing specializations.. Time: 0:00:05 Points: 142   ⌜ # Computing specializations.. Time: 0:00:06 Points: 152   ⌝ # Computing specializations.. Time: 0:00:07 Points: 162   ⌟ # Computing specializations.. Time: 0:00:07 Points: 172   ⌞ # Computing specializations.. Time: 0:00:07 Points: 181   ⌜ # Computing specializations.. Time: 0:00:08 Points: 191   ⌝ # Computing specializations.. Time: 0:00:08 Points: 201   ⌟ # Computing specializations.. Time: 0:00:09 Points: 210   ⌞ # Computing specializations.. Time: 0:00:09 Points: 220   ⌜ # Computing specializations.. Time: 0:00:09 Points: 228   ⌝ # Computing specializations.. Time: 0:00:10 Points: 238   ⌟ # Computing specializations.. Time: 0:00:10 Points: 248   ⌞ # Computing specializations.. Time: 0:00:11 Points: 258   ⌜ # Computing specializations.. Time: 0:00:11 Points: 267   ⌝ # Computing specializations.. Time: 0:00:12 Points: 277   ⌟ # Computing specializations.. Time: 0:00:12 Points: 286   ⌞ # Computing specializations.. Time: 0:00:12 Points: 296   ⌜ # Computing specializations.. Time: 0:00:13 Points: 306   ⌝ # Computing specializations.. Time: 0:00:13 Points: 316   ⌟ # Computing specializations.. Time: 0:00:13 Points: 325   ⌞ # Computing specializations.. Time: 0:00:14 Points: 334   ⌜ # Computing specializations.. Time: 0:00:14 Points: 344   ⌝ # Computing specializations.. Time: 0:00:15 Points: 352   ⌟ # Computing specializations.. Time: 0:00:15 Points: 361   ⌞ # Computing specializations.. Time: 0:00:15 Points: 370   ⌜ # Computing specializations.. Time: 0:00:16 Points: 380   ⌝ # Computing specializations.. Time: 0:00:16 Points: 388   ⌟ # Computing specializations.. Time: 0:00:17 Points: 398   ⌞ # Computing specializations.. Time: 0:00:17 Points: 406   ⌜ # Computing specializations.. Time: 0:00:17 Points: 416   ⌝ # Computing specializations.. Time: 0:00:18 Points: 425   ⌟ # Computing specializations.. Time: 0:00:18 Points: 435   ⌞ # Computing specializations.. Time: 0:00:19 Points: 445   ⌜ # Computing specializations.. Time: 0:00:19 Points: 455   ⌝ # Computing specializations.. Time: 0:00:20 Points: 463   ⌟ # Computing specializations.. Time: 0:00:20 Points: 473   ⌞ # Computing specializations.. Time: 0:00:20 Points: 483   ⌜ # Computing specializations.. Time: 0:00:21 Points: 491   ⌝ # Computing specializations.. Time: 0:00:22 Points: 501   ⌟ # Computing specializations.. Time: 0:00:22 Points: 509   ⌞ # Computing specializations.. Time: 0:00:22 Points: 518   ⌜ # Computing specializations.. Time: 0:00:23 Points: 525   ⌝ # Computing specializations.. Time: 0:00:23 Points: 535   ⌟ # Computing specializations.. Time: 0:00:23 Points: 545   ⌞ # Computing specializations.. Time: 0:00:24 Points: 553   ⌜ # Computing specializations.. Time: 0:00:24 Points: 561   ⌝ # Computing specializations.. Time: 0:00:25 Points: 569   ⌟ # Computing specializations.. Time: 0:00:25 Points: 575   ⌞ # Computing specializations.. Time: 0:00:25 Points: 585   ⌜ # Computing specializations.. Time: 0:00:26 Points: 594   ⌝ # Computing specializations.. Time: 0:00:26 Points: 604   ⌟ # Computing specializations.. Time: 0:00:27 Points: 614   ⌞ # Computing specializations.. Time: 0:00:27 Points: 623   ⌜ # Computing specializations.. Time: 0:00:28 Points: 633   ✓ # Computing specializations.. Time: 0:00:28 [ Info: Search for polynomial generators concluded in 0.000235848 [ Info: Selecting generators in 0.034321263 [ Info: Inclusion checked with probability 0.995 in 9.721413669 seconds [ Info: The search for identifiable functions concluded in 61.674915091 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 2.613883309 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.084906731 seconds [ Info: Dimensions of the Wronskians [34, 2] [ Info: Ranks of the Wronskians computed in 0.001462886 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: 6   ⌝ # Computing specializations.. Time: 0:00:00 Points: 16   ⌟ # Computing specializations.. Time: 0:00:01 Points: 24   ⌞ # Computing specializations.. Time: 0:00:02 Points: 33   ⌜ # Computing specializations.. Time: 0:00:02 Points: 43   ⌝ # Computing specializations.. Time: 0:00:02 Points: 52   ⌟ # Computing specializations.. Time: 0:00:03 Points: 61   ⌞ # Computing specializations.. Time: 0:00:03 Points: 70   ⌜ # Computing specializations.. Time: 0:00:04 Points: 78   ⌝ # Computing specializations.. Time: 0:00:04 Points: 87   ⌟ # 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: 7   ⌝ # Computing specializations.. Time: 0:00:00 Points: 16   ⌟ # Computing specializations.. Time: 0:00:01 Points: 25   ⌞ # Computing specializations.. Time: 0:00:01 Points: 35   ⌜ # Computing specializations.. Time: 0:00:01 Points: 45   ⌝ # Computing specializations.. Time: 0:00:02 Points: 53   ⌟ # Computing specializations.. Time: 0:00:02 Points: 62   ⌞ # Computing specializations.. Time: 0:00:03 Points: 70   ⌜ # Computing specializations.. Time: 0:00:03 Points: 77   ⌝ # Computing specializations.. Time: 0:00:03 Points: 86   ⌟ # Computing specializations.. Time: 0:00:04 Points: 95   ⌞ # Computing specializations.. Time: 0:00:04 Points: 104   ⌜ # Computing specializations.. Time: 0:00:05 Points: 113   ⌝ # Computing specializations.. Time: 0:00:05 Points: 124   ⌟ # Computing specializations.. Time: 0:00:06 Points: 133   ⌞ # Computing specializations.. Time: 0:00:06 Points: 142   ⌜ # Computing specializations.. Time: 0:00:06 Points: 151   ⌝ # Computing specializations.. Time: 0:00:07 Points: 160   ⌟ # Computing specializations.. Time: 0:00:07 Points: 168   ⌞ # Computing specializations.. Time: 0:00:08 Points: 177   ⌜ # Computing specializations.. Time: 0:00:08 Points: 184   ⌝ # Computing specializations.. Time: 0:00:08 Points: 193   ⌟ # Computing specializations.. Time: 0:00:09 Points: 202   ⌞ # Computing specializations.. Time: 0:00:09 Points: 211   ⌜ # Computing specializations.. Time: 0:00:10 Points: 220   ⌝ # Computing specializations.. Time: 0:00:10 Points: 228   ⌟ # Computing specializations.. Time: 0:00:10 Points: 237   ⌞ # Computing specializations.. Time: 0:00:11 Points: 244   ⌜ # Computing specializations.. Time: 0:00:11 Points: 254   ⌝ # Computing specializations.. Time: 0:00:11 Points: 262   ⌟ # Computing specializations.. Time: 0:00:12 Points: 271   ⌞ # Computing specializations.. Time: 0:00:12 Points: 281   ⌜ # Computing specializations.. Time: 0:00:13 Points: 289   ⌝ # Computing specializations.. Time: 0:00:13 Points: 298   ⌟ # Computing specializations.. Time: 0:00:13 Points: 307   ⌞ # Computing specializations.. Time: 0:00:14 Points: 316   ⌜ # Computing specializations.. Time: 0:00:14 Points: 325   ⌝ # Computing specializations.. Time: 0:00:15 Points: 333   ⌟ # Computing specializations.. Time: 0:00:15 Points: 343   ⌞ # Computing specializations.. Time: 0:00:15 Points: 351   ⌜ # Computing specializations.. Time: 0:00:16 Points: 360   ⌝ # Computing specializations.. Time: 0:00:17 Points: 369   ⌟ # Computing specializations.. Time: 0:00:17 Points: 378   ⌞ # Computing specializations.. Time: 0:00:17 Points: 387   ⌜ # Computing specializations.. Time: 0:00:18 Points: 396   ⌝ # Computing specializations.. Time: 0:00:18 Points: 405   ⌟ # Computing specializations.. Time: 0:00:19 Points: 414   ⌞ # Computing specializations.. Time: 0:00:19 Points: 423   ⌜ # Computing specializations.. Time: 0:00:19 Points: 432   ⌝ # Computing specializations.. Time: 0:00:20 Points: 440   ⌟ # Computing specializations.. Time: 0:00:20 Points: 448   ⌞ # Computing specializations.. Time: 0:00:20 Points: 457   ⌜ # Computing specializations.. Time: 0:00:21 Points: 466   ⌝ # Computing specializations.. Time: 0:00:21 Points: 473   ⌟ # Computing specializations.. Time: 0:00:22 Points: 483   ⌞ # Computing specializations.. Time: 0:00:22 Points: 492   ⌜ # Computing specializations.. Time: 0:00:23 Points: 501   ⌝ # Computing specializations.. Time: 0:00:23 Points: 510   ⌟ # Computing specializations.. Time: 0:00:23 Points: 519   ⌞ # Computing specializations.. Time: 0:00:24 Points: 528   ⌜ # Computing specializations.. Time: 0:00:24 Points: 537   ⌝ # Computing specializations.. Time: 0:00:25 Points: 546   ⌟ # Computing specializations.. Time: 0:00:25 Points: 554   ⌞ # Computing specializations.. Time: 0:00:25 Points: 560   ⌜ # Computing specializations.. Time: 0:00:26 Points: 568   ⌝ # Computing specializations.. Time: 0:00:26 Points: 575   ⌟ # Computing specializations.. Time: 0:00:26 Points: 584   ⌞ # Computing specializations.. Time: 0:00:27 Points: 593   ⌜ # Computing specializations.. Time: 0:00:27 Points: 602   ⌝ # Computing specializations.. Time: 0:00:28 Points: 611   ⌟ # Computing specializations.. Time: 0:00:28 Points: 621   ⌞ # Computing specializations.. Time: 0:00:29 Points: 629   ⌜ # Computing specializations.. Time: 0:00:30 Points: 638   ✓ # Computing specializations.. Time: 0:00:30 [ Info: Search for polynomial generators concluded in 0.000321507 [ Info: Selecting generators in 0.048671897 [ Info: Inclusion checked with probability 0.995 in 8.022123714 seconds [ Info: The search for identifiable functions concluded in 68.058687649 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 2.575010168 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.059285506 seconds [ Info: Dimensions of the Wronskians [34, 2] [ Info: Ranks of the Wronskians computed in 8.7949e-5 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 8   ⌝ # Computing specializations.. Time: 0:00:00 Points: 14   ⌟ # Computing specializations.. Time: 0:00:01 Points: 24   ⌞ # Computing specializations.. Time: 0:00:01 Points: 34   ⌜ # Computing specializations.. Time: 0:00:01 Points: 44   ⌝ # Computing specializations.. Time: 0:00:02 Points: 53   ⌟ # Computing specializations.. Time: 0:00:02 Points: 63   ⌞ # Computing specializations.. Time: 0:00:03 Points: 73   ⌜ # Computing specializations.. Time: 0:00:03 Points: 81   ⌝ # Computing specializations.. Time: 0:00:03 Points: 89   ✓ # Computing specializations.. Time: 0:00:04 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ⌝ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 5   ⌝ # Computing specializations.. Time: 0:00:00 Points: 15   ⌟ # Computing specializations.. Time: 0:00:01 Points: 25   ⌞ # Computing specializations.. Time: 0:00:01 Points: 35   ⌜ # Computing specializations.. Time: 0:00:01 Points: 45   ⌝ # Computing specializations.. Time: 0:00:02 Points: 55   ⌟ # Computing specializations.. Time: 0:00:02 Points: 64   ⌞ # Computing specializations.. Time: 0:00:03 Points: 75   ⌜ # Computing specializations.. Time: 0:00:03 Points: 84   ⌝ # Computing specializations.. Time: 0:00:04 Points: 94   ⌟ # Computing specializations.. Time: 0:00:04 Points: 103   ⌞ # Computing specializations.. Time: 0:00:04 Points: 113   ⌜ # Computing specializations.. Time: 0:00:05 Points: 123   ⌝ # Computing specializations.. Time: 0:00:05 Points: 131   ⌟ # Computing specializations.. Time: 0:00:06 Points: 141   ⌞ # Computing specializations.. Time: 0:00:06 Points: 150   ⌜ # Computing specializations.. Time: 0:00:07 Points: 159   ⌝ # Computing specializations.. Time: 0:00:07 Points: 169   ⌟ # Computing specializations.. Time: 0:00:07 Points: 178   ⌞ # Computing specializations.. Time: 0:00:08 Points: 187   ⌜ # Computing specializations.. Time: 0:00:08 Points: 197   ⌝ # Computing specializations.. Time: 0:00:08 Points: 207   ⌟ # Computing specializations.. Time: 0:00:09 Points: 216   ⌞ # Computing specializations.. Time: 0:00:09 Points: 226   ⌜ # Computing specializations.. Time: 0:00:10 Points: 234   ⌝ # Computing specializations.. Time: 0:00:10 Points: 244   ⌟ # Computing specializations.. Time: 0:00:10 Points: 254   ⌞ # Computing specializations.. Time: 0:00:11 Points: 264   ⌜ # Computing specializations.. Time: 0:00:11 Points: 274   ⌝ # Computing specializations.. Time: 0:00:12 Points: 284   ⌟ # Computing specializations.. Time: 0:00:12 Points: 294   ⌞ # Computing specializations.. Time: 0:00:12 Points: 304   ⌜ # Computing specializations.. Time: 0:00:13 Points: 312   ⌝ # Computing specializations.. Time: 0:00:13 Points: 322   ⌟ # 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: 0:00:16 Points: 371   ⌞ # Computing specializations.. Time: 0:00:16 Points: 381   ⌜ # Computing specializations.. Time: 0:00:16 Points: 389   ⌝ # Computing specializations.. Time: 0:00:17 Points: 399   ⌟ # Computing specializations.. Time: 0:00:17 Points: 409   ⌞ # Computing specializations.. Time: 0:00:18 Points: 417   ⌜ # Computing specializations.. Time: 0:00:18 Points: 427   ⌝ # Computing specializations.. Time: 0:00:18 Points: 437   ⌟ # Computing specializations.. Time: 0:00:19 Points: 447   ⌞ # Computing specializations.. Time: 0:00:19 Points: 455   ⌜ # Computing specializations.. Time: 0:00:19 Points: 465   ⌝ # Computing specializations.. Time: 0:00:20 Points: 475   ⌟ # Computing specializations.. Time: 0:00:20 Points: 484   ⌞ # Computing specializations.. Time: 0:00:21 Points: 493   ⌜ # Computing specializations.. Time: 0:00:21 Points: 502   ⌝ # Computing specializations.. Time: 0:00:21 Points: 512   ⌟ # Computing specializations.. Time: 0:00:22 Points: 521   ⌞ # Computing specializations.. Time: 0:00:22 Points: 531   ⌜ # Computing specializations.. Time: 0:00:23 Points: 541   ⌝ # Computing specializations.. Time: 0:00:23 Points: 550   ⌟ # Computing specializations.. Time: 0:00:23 Points: 559   ⌞ # Computing specializations.. Time: 0:00:24 Points: 568   ⌜ # Computing specializations.. Time: 0:00:24 Points: 578   ⌝ # Computing specializations.. Time: 0:00:25 Points: 588   ⌟ # Computing specializations.. Time: 0:00:25 Points: 598   ⌞ # Computing specializations.. Time: 0:00:25 Points: 608   ⌜ # Computing specializations.. Time: 0:00:26 Points: 618   ⌝ # Computing specializations.. Time: 0:00:26 Points: 626   ⌟ # Computing specializations.. Time: 0:00:26 Points: 636   ✓ # Computing specializations.. Time: 0:00:27 [ Info: Search for polynomial generators concluded in 2.282639337 [ Info: Selecting generators in 0.047409519 [ Info: Inclusion checked with probability 0.995 in 8.148646585 seconds [ Info: The search for identifiable functions concluded in 60.382969834 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 2.590190201 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.06307667 seconds [ Info: Dimensions of the Wronskians [34, 2] [ Info: Ranks of the Wronskians computed in 8.5429e-5 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 9   ⌝ # Computing specializations.. Time: 0:00:00 Points: 19   ⌟ # Computing specializations.. Time: 0:00:01 Points: 27   ⌞ # Computing specializations.. Time: 0:00:01 Points: 38   ⌜ # Computing specializations.. Time: 0:00:01 Points: 47   ⌝ # Computing specializations.. Time: 0:00:02 Points: 56   ⌟ # Computing specializations.. Time: 0:00:02 Points: 66   ⌞ # Computing specializations.. Time: 0:00:03 Points: 76   ⌜ # Computing specializations.. Time: 0:00:03 Points: 86   ⌝ # Computing specializations.. Time: 0:00:03 Points: 96   ✓ # 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 Points: 9   ⌝ # Computing specializations.. Time: 0:00:00 Points: 17   ⌟ # Computing specializations.. Time: 0:00:01 Points: 27   ⌞ # Computing specializations.. Time: 0:00:01 Points: 35   ⌜ # Computing specializations.. Time: 0:00:01 Points: 45   ⌝ # Computing specializations.. Time: 0:00:02 Points: 54   ⌟ # Computing specializations.. Time: 0:00:02 Points: 64   ⌞ # Computing specializations.. Time: 0:00:03 Points: 73   ⌜ # Computing specializations.. Time: 0:00:03 Points: 83   ⌝ # Computing specializations.. Time: 0:00:03 Points: 91   ⌟ # Computing specializations.. Time: 0:00:04 Points: 102   ⌞ # Computing specializations.. Time: 0:00:05 Points: 113   ⌜ # Computing specializations.. Time: 0:00:05 Points: 124   ⌝ # Computing specializations.. Time: 0:00:05 Points: 133   ⌟ # Computing specializations.. Time: 0:00:06 Points: 143   ⌞ # Computing specializations.. Time: 0:00:06 Points: 153   ⌜ # Computing specializations.. Time: 0:00:07 Points: 163   ⌝ # Computing specializations.. Time: 0:00:07 Points: 173   ⌟ # Computing specializations.. Time: 0:00:07 Points: 183   ⌞ # Computing specializations.. Time: 0:00:08 Points: 192   ⌜ # Computing specializations.. Time: 0:00:08 Points: 203   ⌝ # Computing specializations.. Time: 0:00:08 Points: 213   ⌟ # Computing specializations.. Time: 0:00:09 Points: 221   ⌞ # Computing specializations.. Time: 0:00:09 Points: 230   ⌜ # Computing specializations.. Time: 0:00:10 Points: 239   ⌝ # Computing specializations.. Time: 0:00:10 Points: 249   ⌟ # Computing specializations.. Time: 0:00:10 Points: 259   ⌞ # Computing specializations.. Time: 0:00:11 Points: 267   ⌜ # Computing specializations.. Time: 0:00:11 Points: 277   ⌝ # Computing specializations.. Time: 0:00:12 Points: 286   ⌟ # Computing specializations.. Time: 0:00:12 Points: 296   ⌞ # Computing specializations.. Time: 0:00:13 Points: 306   ⌜ # Computing specializations.. Time: 0:00:13 Points: 316   ⌝ # Computing specializations.. Time: 0:00:13 Points: 326   ⌟ # Computing specializations.. Time: 0:00:14 Points: 336   ⌞ # Computing specializations.. Time: 0:00:14 Points: 345   ⌜ # Computing specializations.. Time: 0:00:14 Points: 355   ⌝ # Computing specializations.. Time: 0:00:15 Points: 364   ⌟ # Computing specializations.. Time: 0:00:15 Points: 374   ⌞ # Computing specializations.. Time: 0:00:16 Points: 384   ⌜ # Computing specializations.. Time: 0:00:16 Points: 395   ⌝ # Computing specializations.. Time: 0:00:17 Points: 405   ⌟ # Computing specializations.. Time: 0:00:17 Points: 415   ⌞ # Computing specializations.. Time: 0:00:18 Points: 424   ⌜ # Computing specializations.. Time: 0:00:18 Points: 434   ⌝ # Computing specializations.. Time: 0:00:18 Points: 444   ⌟ # Computing specializations.. Time: 0:00:19 Points: 452   ⌞ # Computing specializations.. Time: 0:00:19 Points: 462   ⌜ # Computing specializations.. Time: 0:00:20 Points: 472   ⌝ # Computing specializations.. Time: 0:00:20 Points: 482   ⌟ # Computing specializations.. Time: 0:00:21 Points: 492   ⌞ # Computing specializations.. Time: 0:00:21 Points: 502   ⌜ # Computing specializations.. Time: 0:00:21 Points: 512   ⌝ # Computing specializations.. Time: 0:00:22 Points: 521   ⌟ # Computing specializations.. Time: 0:00:22 Points: 531   ⌞ # Computing specializations.. Time: 0:00:23 Points: 540   ⌜ # Computing specializations.. Time: 0:00:23 Points: 550   ⌝ # Computing specializations.. Time: 0:00:23 Points: 560   ⌟ # Computing specializations.. Time: 0:00:24 Points: 569   ⌞ # Computing specializations.. Time: 0:00:24 Points: 579   ⌜ # Computing specializations.. Time: 0:00:24 Points: 587   ⌝ # Computing specializations.. Time: 0:00:25 Points: 597   ⌟ # Computing specializations.. Time: 0:00:25 Points: 606   ⌞ # Computing specializations.. Time: 0:00:26 Points: 616   ⌜ # Computing specializations.. Time: 0:00:26 Points: 625   ⌝ # Computing specializations.. Time: 0:00:26 Points: 635   ✓ # Computing specializations.. Time: 0:00:27 [ Info: Search for polynomial generators concluded in 3.112170222 [ Info: Selecting generators in 0.048880725 [ Info: Inclusion checked with probability 0.995 in 8.503284996 seconds [ Info: The search for identifiable functions concluded in 60.876197141 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 2.520120137 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.060878291 seconds [ Info: Dimensions of the Wronskians [34, 2] [ Info: Ranks of the Wronskians computed in 8.037e-5 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 5   ⌝ # Computing specializations.. Time: 0:00:00 Points: 15   ⌟ # Computing specializations.. Time: 0:00:01 Points: 25   ⌞ # Computing specializations.. Time: 0:00:02 Points: 33   ⌜ # Computing specializations.. Time: 0:00:02 Points: 43   ⌝ # Computing specializations.. Time: 0:00:02 Points: 52   ⌟ # Computing specializations.. Time: 0:00:03 Points: 62   ⌞ # Computing specializations.. Time: 0:00:03 Points: 71   ⌜ # Computing specializations.. Time: 0:00:04 Points: 80   ⌝ # Computing specializations.. Time: 0:00:04 Points: 90   ✓ # 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: 5   ⌝ # Computing specializations.. Time: 0:00:00 Points: 15   ⌟ # Computing specializations.. Time: 0:00:01 Points: 24   ⌞ # Computing specializations.. Time: 0:00:01 Points: 33   ⌜ # Computing specializations.. Time: 0:00:01 Points: 42   ⌝ # Computing specializations.. Time: 0:00:02 Points: 51   ⌟ # Computing specializations.. Time: 0:00:02 Points: 60   ⌞ # Computing specializations.. Time: 0:00:03 Points: 69   ⌜ # Computing specializations.. Time: 0:00:03 Points: 79   ⌝ # Computing specializations.. Time: 0:00:03 Points: 88   ⌟ # Computing specializations.. Time: 0:00:04 Points: 98   ⌞ # Computing specializations.. Time: 0:00:04 Points: 107   ⌜ # Computing specializations.. Time: 0:00:04 Points: 117   ⌝ # Computing specializations.. Time: 0:00:05 Points: 125   ⌟ # Computing specializations.. Time: 0:00:05 Points: 135   ⌞ # Computing specializations.. Time: 0:00:06 Points: 145   ⌜ # Computing specializations.. Time: 0:00:07 Points: 155   ⌝ # Computing specializations.. Time: 0:00:07 Points: 165   ⌟ # Computing specializations.. Time: 0:00:07 Points: 174   ⌞ # Computing specializations.. Time: 0:00:08 Points: 183   ⌜ # Computing specializations.. Time: 0:00:08 Points: 192   ⌝ # Computing specializations.. Time: 0:00:09 Points: 202   ⌟ # Computing specializations.. Time: 0:00:09 Points: 211   ⌞ # Computing specializations.. Time: 0:00:09 Points: 220   ⌜ # Computing specializations.. Time: 0:00:10 Points: 229   ⌝ # Computing specializations.. Time: 0:00:10 Points: 238   ⌟ # Computing specializations.. Time: 0:00:11 Points: 247   ⌞ # Computing specializations.. Time: 0:00:11 Points: 255   ⌜ # Computing specializations.. Time: 0:00:11 Points: 264   ⌝ # Computing specializations.. Time: 0:00:12 Points: 273   ⌟ # Computing specializations.. Time: 0:00:12 Points: 283   ⌞ # Computing specializations.. Time: 0:00:13 Points: 292   ⌜ # Computing specializations.. Time: 0:00:13 Points: 302   ⌝ # Computing specializations.. Time: 0:00:13 Points: 310   ⌟ # Computing specializations.. Time: 0:00:14 Points: 320   ⌞ # Computing specializations.. Time: 0:00:14 Points: 328   ⌜ # Computing specializations.. Time: 0:00:15 Points: 336   ⌝ # Computing specializations.. Time: 0:00:15 Points: 345   ⌟ # Computing specializations.. Time: 0:00:15 Points: 352   ⌞ # Computing specializations.. Time: 0:00:16 Points: 361   ⌜ # Computing specializations.. Time: 0:00:16 Points: 370   ⌝ # Computing specializations.. Time: 0:00:16 Points: 379   ⌟ # Computing specializations.. Time: 0:00:17 Points: 388   ⌞ # Computing specializations.. Time: 0:00:17 Points: 397   ⌜ # Computing specializations.. Time: 0:00:18 Points: 405   ⌝ # Computing specializations.. Time: 0:00:18 Points: 415   ⌟ # Computing specializations.. Time: 0:00:19 Points: 424   ⌞ # Computing specializations.. Time: 0:00:19 Points: 434   ⌜ # Computing specializations.. Time: 0:00:20 Points: 443   ⌝ # Computing specializations.. Time: 0:00:20 Points: 452   ⌟ # Computing specializations.. Time: 0:00:20 Points: 461   ⌞ # Computing specializations.. Time: 0:00:21 Points: 470   ⌜ # Computing specializations.. Time: 0:00:21 Points: 480   ⌝ # Computing specializations.. Time: 0:00:22 Points: 489   ⌟ # Computing specializations.. Time: 0:00:22 Points: 498   ⌞ # Computing specializations.. Time: 0:00:23 Points: 508   ⌜ # Computing specializations.. Time: 0:00:23 Points: 517   ⌝ # Computing specializations.. Time: 0:00:23 Points: 525   ⌟ # Computing specializations.. Time: 0:00:24 Points: 535   ⌞ # Computing specializations.. Time: 0:00:24 Points: 544   ⌜ # Computing specializations.. Time: 0:00:25 Points: 554   ⌝ # Computing specializations.. Time: 0:00:25 Points: 563   ⌟ # Computing specializations.. Time: 0:00:25 Points: 571   ⌞ # Computing specializations.. Time: 0:00:26 Points: 580   ⌜ # Computing specializations.. Time: 0:00:26 Points: 588   ⌝ # Computing specializations.. Time: 0:00:26 Points: 597   ⌟ # Computing specializations.. Time: 0:00:27 Points: 606   ⌞ # Computing specializations.. Time: 0:00:27 Points: 615   ⌜ # Computing specializations.. Time: 0:00:28 Points: 622   ⌝ # Computing specializations.. Time: 0:00:28 Points: 631   ⌟ # Computing specializations.. Time: 0:00:28 Points: 640   ✓ # Computing specializations.. Time: 0:00:29 [ Info: Search for polynomial generators concluded in 1.562289502 [ Info: Selecting generators in 0.052010385 [ Info: Inclusion checked with probability 0.995 in 8.845188222 seconds [ Info: The search for identifiable functions concluded in 62.244134891 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 0.001336237 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.3089e-5 [ Info: Selecting generators in 0.000142508 [ Info: Inclusion checked with probability 0.995 in 0.008601868 seconds [ Info: The search for identifiable functions concluded in 0.025436088 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 0.00097219 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 6.3899e-5 [ Info: Selecting generators in 0.000154169 [ Info: Inclusion checked with probability 0.995 in 0.001880833 seconds [ Info: The search for identifiable functions concluded in 0.00727313 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 0.001028191 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 6.317e-5 [ Info: Selecting generators in 0.000148549 [ Info: Inclusion checked with probability 0.995 in 0.001917761 seconds [ Info: The search for identifiable functions concluded in 0.00735043 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 0.000986311 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000413386 [ Info: Selecting generators in 0.000151508 [ Info: Inclusion checked with probability 0.995 in 0.001873692 seconds [ Info: The search for identifiable functions concluded in 0.008019013 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 0.000995851 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000368926 [ Info: Selecting generators in 0.000154209 [ Info: Inclusion checked with probability 0.995 in 0.001884013 seconds [ Info: The search for identifiable functions concluded in 0.00735859 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 0.000953111 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000373077 [ Info: Selecting generators in 0.000172049 [ Info: Inclusion checked with probability 0.995 in 0.001945722 seconds [ Info: The search for identifiable functions concluded in 0.007620708 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 0.001322887 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001222619 seconds [ Info: Dimensions of the Wronskians [2] [ 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 0.000356377 [ Info: Selecting generators in 0.000743483 [ Info: Inclusion checked with probability 0.995 in 0.001784123 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.383e-5 [ Info: Selecting generators in 0.000581714 [ Info: Inclusion checked with probability 0.995 in 0.002664555 seconds [ Info: The search for identifiable functions concluded in 0.018517104 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 0.001200249 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00102301 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.617e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000322417 [ Info: Selecting generators in 0.000756353 [ Info: Inclusion checked with probability 0.995 in 0.001918642 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 6.6119e-5 [ Info: Selecting generators in 0.000515685 [ Info: Inclusion checked with probability 0.995 in 0.002305238 seconds [ Info: The search for identifiable functions concluded in 0.017212016 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 0.001367487 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001176539 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.8869e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000334137 [ Info: Selecting generators in 0.000625524 [ Info: Inclusion checked with probability 0.995 in 0.001602505 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 6.618e-5 [ Info: Selecting generators in 0.000440515 [ Info: Inclusion checked with probability 0.995 in 0.002252759 seconds [ Info: The search for identifiable functions concluded in 0.016649331 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 0.001113569 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000905681 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.694e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000322587 [ Info: Selecting generators in 0.000535075 [ Info: Inclusion checked with probability 0.995 in 0.001550515 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.178273085 [ Info: Selecting generators in 0.000521745 [ Info: Inclusion checked with probability 0.995 in 0.00216095 seconds [ Info: The search for identifiable functions concluded in 0.19347741 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 0.001138629 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000860581 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.733e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000344147 [ Info: Selecting generators in 0.000626294 [ Info: Inclusion checked with probability 0.995 in 0.001609825 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000497595 [ Info: Selecting generators in 0.000401997 [ Info: Inclusion checked with probability 0.995 in 0.001974401 seconds [ Info: The search for identifiable functions concluded in 0.015270884 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 0.001118009 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000884592 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.634e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000316907 [ Info: Selecting generators in 0.000539645 [ Info: Inclusion checked with probability 0.995 in 0.001492916 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000592224 [ Info: Selecting generators in 0.000474775 [ Info: Inclusion checked with probability 0.995 in 0.002272318 seconds [ Info: The search for identifiable functions concluded in 0.015677871 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 0.002367997 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001900792 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.822e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.008654988 [ Info: Selecting generators in 0.002022791 [ Info: Inclusion checked with probability 0.995 in 0.003346288 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.789e-5 [ Info: Selecting generators in 0.003276929 [ Info: Inclusion checked with probability 0.995 in 0.004844614 seconds [ Info: The search for identifiable functions concluded in 0.047714506 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 0.002169269 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001687314 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.546e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.008130963 [ Info: Selecting generators in 0.002413437 [ Info: Inclusion checked with probability 0.995 in 0.003366438 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.4929e-5 [ Info: Selecting generators in 0.003341728 [ Info: Inclusion checked with probability 0.995 in 0.004868224 seconds [ Info: The search for identifiable functions concluded in 0.046713586 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 0.002306388 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001784403 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.674e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.008661878 [ Info: Selecting generators in 0.002051421 [ Info: Inclusion checked with probability 0.995 in 0.002892812 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.9789e-5 [ Info: Selecting generators in 0.00310809 [ Info: Inclusion checked with probability 0.995 in 0.004462137 seconds [ Info: The search for identifiable functions concluded in 0.045297539 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 0.001784923 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001547325 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.305e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.008089853 [ Info: Selecting generators in 0.002214169 [ Info: Inclusion checked with probability 0.995 in 0.002250828 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.032954366 [ Info: Selecting generators in 0.00314245 [ Info: Inclusion checked with probability 0.995 in 0.004676805 seconds [ Info: The search for identifiable functions concluded in 0.074368833 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 0.002069821 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001544106 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.592e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.008000634 [ Info: Selecting generators in 0.002026151 [ Info: Inclusion checked with probability 0.995 in 0.002904922 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.033855088 [ Info: Selecting generators in 0.003286949 [ Info: Inclusion checked with probability 0.995 in 0.005551777 seconds [ Info: The search for identifiable functions concluded in 0.080087699 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 0.001988091 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001541465 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.815e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006923414 [ Info: Selecting generators in 0.001591855 [ Info: Inclusion checked with probability 0.995 in 0.002774124 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.034471572 [ Info: Selecting generators in 0.003214679 [ Info: Inclusion checked with probability 0.995 in 0.004722895 seconds [ Info: The search for identifiable functions concluded in 0.077150426 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 0.002246089 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001743283 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.8379e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.009169863 [ Info: Selecting generators in 0.001992671 [ Info: Inclusion checked with probability 0.995 in 0.002948922 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000101649 [ Info: Selecting generators in 0.003056831 [ Info: Inclusion checked with probability 0.995 in 0.005990043 seconds [ Info: The search for identifiable functions concluded in 0.047515818 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 0.002030411 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001652415 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.581e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.009602679 [ Info: Selecting generators in 0.002015071 [ Info: Inclusion checked with probability 0.995 in 0.003627376 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000113699 [ Info: Selecting generators in 0.002876443 [ Info: Inclusion checked with probability 0.995 in 0.005811724 seconds [ Info: The search for identifiable functions concluded in 0.050086884 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 0.001993471 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001626014 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.59e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.010102404 [ Info: Selecting generators in 0.00200975 [ Info: Inclusion checked with probability 0.995 in 0.002779513 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.1969e-5 [ Info: Selecting generators in 0.003260979 [ Info: Inclusion checked with probability 0.995 in 0.005222901 seconds [ Info: The search for identifiable functions concluded in 0.047739126 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 0.002707354 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001776253 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.938e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.008151733 [ Info: Selecting generators in 0.001984561 [ Info: Inclusion checked with probability 0.995 in 0.002899572 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.0357449 [ Info: Selecting generators in 0.004987333 [ Info: Inclusion checked with probability 0.995 in 0.005694366 seconds [ Info: The search for identifiable functions concluded in 0.085051601 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 0.00314385 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002224108 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.8919e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.009157713 [ Info: Selecting generators in 0.002523396 [ Info: Inclusion checked with probability 0.995 in 0.002820393 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.03465334 [ Info: Selecting generators in 0.004927383 [ Info: Inclusion checked with probability 0.995 in 0.005239861 seconds [ Info: The search for identifiable functions concluded in 0.087822585 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 0.002538786 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001917232 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.704e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.010224853 [ Info: Selecting generators in 0.002633485 [ Info: Inclusion checked with probability 0.995 in 0.003462027 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.037459004 [ Info: Selecting generators in 0.004354859 [ Info: Inclusion checked with probability 0.995 in 0.006225131 seconds [ Info: The search for identifiable functions concluded in 0.092636609 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 0.008206842 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005401849 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.227e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002132829 [ Info: Selecting generators in 0.009688587 [ Info: Inclusion checked with probability 0.995 in 0.005677816 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000139979 [ Info: Selecting generators in 0.025706736 [ Info: Inclusion checked with probability 0.995 in 0.01045864 seconds [ Info: The search for identifiable functions concluded in 0.345743673 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 0.555428609 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006799145 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.313e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.00318181 [ Info: Selecting generators in 0.012808548 [ Info: Inclusion checked with probability 0.995 in 0.006100613 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000141418 [ Info: Selecting generators in 0.027046913 [ Info: Inclusion checked with probability 0.995 in 0.010124164 seconds [ Info: The search for identifiable functions concluded in 0.694188059 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 0.007049033 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00522461 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.527e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002159069 [ Info: Selecting generators in 0.009887516 [ Info: Inclusion checked with probability 0.995 in 0.005361129 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000149998 [ Info: Selecting generators in 0.026181241 [ Info: Inclusion checked with probability 0.995 in 0.009093854 seconds [ Info: The search for identifiable functions concluded in 0.120626732 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 0.006960534 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004590446 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.365e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001797443 [ Info: Selecting generators in 0.009429 [ Info: Inclusion checked with probability 0.995 in 0.007756006 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.004303579 [ Info: Selecting generators in 0.032305703 [ Info: Inclusion checked with probability 0.995 in 0.010211042 seconds [ Info: The search for identifiable functions concluded in 0.135607611 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 0.008039664 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005512998 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.161e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001984781 [ Info: Selecting generators in 0.00947564 [ Info: Inclusion checked with probability 0.995 in 0.006003353 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.004389318 [ Info: Selecting generators in 0.028097123 [ Info: Inclusion checked with probability 0.995 in 0.009657488 seconds [ Info: The search for identifiable functions concluded in 0.133272813 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 0.007908695 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005513577 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.124e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002050571 [ Info: Selecting generators in 0.009444421 [ Info: Inclusion checked with probability 0.995 in 0.005943923 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.004436408 [ Info: Selecting generators in 0.031663779 [ Info: Inclusion checked with probability 0.995 in 0.007622628 seconds [ Info: The search for identifiable functions concluded in 0.134155935 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 0.002155809 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00107442 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 3.844e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 6.515e-5 [ Info: Selecting generators in 0.000527815 [ Info: Inclusion checked with probability 0.995 in 0.002410967 seconds [ Info: The search for identifiable functions concluded in 0.012313553 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 0.001823783 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00108301 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.535e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 6.903e-5 [ Info: Selecting generators in 0.000526475 [ Info: Inclusion checked with probability 0.995 in 0.002513766 seconds [ Info: The search for identifiable functions concluded in 0.012185414 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 0.001668585 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00099137 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.451e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 6.6239e-5 [ Info: Selecting generators in 0.000513395 [ Info: Inclusion checked with probability 0.995 in 0.002508746 seconds [ Info: The search for identifiable functions concluded in 0.011732439 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 0.001726423 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001082269 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.789e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.00631689 [ Info: Selecting generators in 0.000585055 [ Info: Inclusion checked with probability 0.995 in 0.002450897 seconds [ Info: The search for identifiable functions concluded in 0.018619123 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 0.001806692 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00108459 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.56e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.005759186 [ Info: Selecting generators in 0.000639833 [ Info: Inclusion checked with probability 0.995 in 0.002345138 seconds [ Info: The search for identifiable functions concluded in 0.01785438 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 0.001929592 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00112137 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.511e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.00528471 [ Info: Selecting generators in 0.000706384 [ Info: Inclusion checked with probability 0.995 in 0.002699944 seconds [ Info: The search for identifiable functions concluded in 0.018032969 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 0.003615356 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002243888 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.676e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002642465 [ Info: Selecting generators in 0.000805082 [ Info: Inclusion checked with probability 0.995 in 0.001886922 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.7399e-5 [ Info: Selecting generators in 0.004402878 [ Info: Inclusion checked with probability 0.995 in 0.003523677 seconds [ Info: The search for identifiable functions concluded in 0.033963357 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[C*α, x1(t), 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 0.003049381 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001978491 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.857e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002843183 [ Info: Selecting generators in 0.000846652 [ Info: Inclusion checked with probability 0.995 in 0.001940202 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.268e-5 [ Info: Selecting generators in 0.003476277 [ Info: Inclusion checked with probability 0.995 in 0.003544127 seconds [ Info: The search for identifiable functions concluded in 0.030846367 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[C*α, x1(t), 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 0.003116581 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002059801 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.578e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002596555 [ Info: Selecting generators in 0.000714833 [ Info: Inclusion checked with probability 0.995 in 0.001713163 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000103209 [ Info: Selecting generators in 0.004687815 [ Info: Inclusion checked with probability 0.995 in 0.003699874 seconds [ Info: The search for identifiable functions concluded in 0.033122605 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[C*α, x1(t), 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 0.003422038 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002178679 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.603e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002601206 [ Info: Selecting generators in 0.000744133 [ Info: Inclusion checked with probability 0.995 in 0.001823283 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.040669454 [ Info: Selecting generators in 0.004967343 [ Info: Inclusion checked with probability 0.995 in 0.003682825 seconds [ Info: The search for identifiable functions concluded in 0.07467301 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[C*α, x1(t), 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 0.00319652 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00202037 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.531e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002498526 [ Info: Selecting generators in 0.000834002 [ Info: Inclusion checked with probability 0.995 in 0.001895282 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.037450504 [ Info: Selecting generators in 0.004621326 [ Info: Inclusion checked with probability 0.995 in 0.004323469 seconds [ Info: The search for identifiable functions concluded in 0.0715779 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[C*α, x1(t), 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 0.003678885 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002313568 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.854e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.003026191 [ Info: Selecting generators in 0.000872762 [ Info: Inclusion checked with probability 0.995 in 0.00206124 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.037601122 [ Info: Selecting generators in 0.004803644 [ Info: Inclusion checked with probability 0.995 in 0.003711635 seconds [ Info: The search for identifiable functions concluded in 0.075113266 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[C*α, x1(t), 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 0.00211464 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001309688 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.527e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000357566 [ Info: Selecting generators in 0.000507565 [ Info: Inclusion checked with probability 0.995 in 0.001489986 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.4999e-5 [ Info: Selecting generators in 0.001337877 [ Info: Inclusion checked with probability 0.995 in 0.002584875 seconds [ Info: The search for identifiable functions concluded in 0.484345294 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 0.001794463 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00109435 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.536e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000378417 [ Info: Selecting generators in 0.000598924 [ Info: Inclusion checked with probability 0.995 in 0.001725674 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.2009e-5 [ Info: Selecting generators in 0.001345877 [ Info: Inclusion checked with probability 0.995 in 0.002664644 seconds [ Info: The search for identifiable functions concluded in 0.020324597 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 0.00208431 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001252348 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.9149e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000353137 [ Info: Selecting generators in 0.000530745 [ Info: Inclusion checked with probability 0.995 in 0.001672504 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 6.0079e-5 [ Info: Selecting generators in 0.00112747 [ Info: Inclusion checked with probability 0.995 in 0.002417787 seconds [ Info: The search for identifiable functions concluded in 0.019660703 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 0.001824612 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001174649 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.584e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000332227 [ Info: Selecting generators in 0.000499585 [ Info: Inclusion checked with probability 0.995 in 0.001591105 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.005883204 [ Info: Selecting generators in 0.001316517 [ Info: Inclusion checked with probability 0.995 in 0.002639925 seconds [ Info: The search for identifiable functions concluded in 0.025356859 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 0.002033291 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001196249 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.582e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000371877 [ Info: Selecting generators in 0.000548975 [ Info: Inclusion checked with probability 0.995 in 0.001704334 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.007099292 [ Info: Selecting generators in 0.001585734 [ Info: Inclusion checked with probability 0.995 in 0.002738234 seconds [ Info: The search for identifiable functions concluded in 0.027851125 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 0.001968751 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001262908 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.776e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000370096 [ Info: Selecting generators in 0.000572355 [ Info: Inclusion checked with probability 0.995 in 0.001770124 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.00737185 [ Info: Selecting generators in 0.001616494 [ Info: Inclusion checked with probability 0.995 in 0.002883192 seconds [ Info: The search for identifiable functions concluded in 0.029242002 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 0.001282247 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.0010411 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.753e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006618817 [ Info: Selecting generators in 0.002300038 [ Info: Inclusion checked with probability 0.995 in 0.002699594 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.7129e-5 [ Info: Selecting generators in 0.002790113 [ Info: Inclusion checked with probability 0.995 in 0.003830554 seconds [ Info: The search for identifiable functions concluded in 0.036722601 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 0.001343477 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00107084 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.938e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.007503498 [ Info: Selecting generators in 0.002299648 [ Info: Inclusion checked with probability 0.995 in 0.002677285 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.2789e-5 [ Info: Selecting generators in 0.002683454 [ Info: Inclusion checked with probability 0.995 in 0.003847624 seconds [ Info: The search for identifiable functions concluded in 0.037237096 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 0.001340018 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00112293 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.205e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006611997 [ Info: Selecting generators in 0.002299948 [ Info: Inclusion checked with probability 0.995 in 0.002629655 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.5489e-5 [ Info: Selecting generators in 0.002743214 [ Info: Inclusion checked with probability 0.995 in 0.009839996 seconds [ Info: The search for identifiable functions concluded in 9.549121735 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 0.001257718 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001024941 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.236e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006205581 [ Info: Selecting generators in 0.002204719 [ Info: Inclusion checked with probability 0.995 in 0.002500886 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.016683031 [ Info: Selecting generators in 0.002434977 [ Info: Inclusion checked with probability 0.995 in 0.003791324 seconds [ Info: The search for identifiable functions concluded in 0.051711989 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 0.001229958 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001153449 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.7369e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.005810355 [ Info: Selecting generators in 0.002003691 [ Info: Inclusion checked with probability 0.995 in 0.002539236 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.016706591 [ Info: Selecting generators in 0.002461556 [ Info: Inclusion checked with probability 0.995 in 0.003752065 seconds [ Info: The search for identifiable functions concluded in 0.05050794 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 0.001500096 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001228508 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.9529e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.005593727 [ Info: Selecting generators in 0.001934202 [ Info: Inclusion checked with probability 0.995 in 0.002354558 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.897773463 [ Info: Selecting generators in 0.003825983 [ Info: Inclusion checked with probability 0.995 in 0.004681216 seconds [ Info: The search for identifiable functions concluded in 0.934409845 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 0.007516109 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006556338 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.382e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.020024789 [ Info: Selecting generators in 0.004482828 [ Info: Inclusion checked with probability 0.995 in 0.004410178 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000134079 [ Info: Selecting generators in 0.026981444 [ Info: Inclusion checked with probability 0.995 in 0.010827867 seconds [ Info: The search for identifiable functions concluded in 0.14818849 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p1 + p3, p2*p4, p1*p3, x3(t), 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 0.005722616 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005012363 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 3.165e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.01580959 [ Info: Selecting generators in 0.00526831 [ Info: Inclusion checked with probability 0.995 in 0.004835554 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000180568 [ Info: Selecting generators in 0.027929094 [ Info: Inclusion checked with probability 0.995 in 0.00937742 seconds [ Info: The search for identifiable functions concluded in 0.13782245 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p1 + p3, p2*p4, p1*p3, x3(t), 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 0.005608476 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005094602 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.353e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.016387944 [ Info: Selecting generators in 0.004701995 [ Info: Inclusion checked with probability 0.995 in 0.004364789 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000156548 [ Info: Selecting generators in 0.027962024 [ Info: Inclusion checked with probability 0.995 in 0.010287822 seconds [ Info: The search for identifiable functions concluded in 0.138575913 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p1 + p3, p2*p4, p1*p3, x3(t), 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 0.006014283 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004849324 seconds [ Info: Dimensions of the Wronskians [7] [ 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 0.015989517 [ Info: Selecting generators in 0.004819774 [ Info: Inclusion checked with probability 0.995 in 0.004691055 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.137190836 [ Info: Selecting generators in 0.043945242 [ Info: Inclusion checked with probability 0.995 in 0.011869718 seconds [ Info: The search for identifiable functions concluded in 0.29345774 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p1 + p3, p2*p4, p1*p3, x3(t), 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 0.006900784 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004857794 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.284e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.022714005 [ Info: Selecting generators in 0.004898914 [ Info: Inclusion checked with probability 0.995 in 0.006571067 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.115916117 [ Info: Selecting generators in 0.027569138 [ Info: Inclusion checked with probability 0.995 in 0.009804717 seconds [ Info: The search for identifiable functions concluded in 0.260578172 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p1 + p3, p2*p4, p1*p3, x3(t), 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 0.005551787 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005094212 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.27e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.013767969 [ Info: Selecting generators in 0.004597156 [ Info: Inclusion checked with probability 0.995 in 0.004137291 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.137994528 [ Info: Selecting generators in 0.029848257 [ Info: Inclusion checked with probability 0.995 in 0.010572419 seconds [ Info: The search for identifiable functions concluded in 0.272600858 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p1 + p3, p2*p4, p1*p3, x3(t), 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 0.197215805 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.366357726 seconds [ Info: Dimensions of the Wronskians [145, 18, 9] [ Info: Ranks of the Wronskians computed in 0.001501286 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:05 ✓ # Computing specializations.. Time: 0:00:05 [ Info: Search for polynomial generators concluded in 12.179537946 [ Info: Selecting generators in 0.090467089 [ Info: Inclusion checked with probability 0.995 in 7.41412998 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:14 ✓ # Computing specializations.. Time: 0:00:14 [ Info: Search for polynomial generators concluded in 0.000525215 [ Info: Selecting generators in 0.259275775 [ Info: Inclusion checked with probability 0.995 in 16.348829049 seconds [ Info: The search for identifiable functions concluded in 68.263900561 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, reaction_2_k1//reaction_5_k1, a3//reaction_5_k1, a2//reaction_5_k1, a1//reaction_5_k1, pS6(t)*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 0.201317507 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.746606223 seconds [ Info: Dimensions of the Wronskians [145, 18, 9] [ Info: Ranks of the Wronskians computed in 0.001889132 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 10.674966193 [ Info: Selecting generators in 0.086813095 [ Info: Inclusion checked with probability 0.995 in 0.134428602 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000389337 [ Info: Selecting generators in 0.812332589 [ Info: Inclusion checked with probability 0.995 in 0.077716852 seconds [ Info: The search for identifiable functions concluded in 14.683735039 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, reaction_2_k1//reaction_5_k1, a3//reaction_5_k1, a2//reaction_5_k1, a1//reaction_5_k1, pS6(t)*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 0.190801197 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.386664135 seconds [ Info: Dimensions of the Wronskians [145, 18, 9] [ Info: Ranks of the Wronskians computed in 0.001829823 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 10.123609951 [ Info: Selecting generators in 0.086916894 [ Info: Inclusion checked with probability 0.995 in 0.118359516 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000443066 [ Info: Selecting generators in 0.241808852 [ Info: Inclusion checked with probability 0.995 in 0.062824873 seconds [ Info: The search for identifiable functions concluded in 14.50803734 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, reaction_2_k1//reaction_5_k1, a3//reaction_5_k1, a2//reaction_5_k1, a1//reaction_5_k1, pS6(t)*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 0.17785184 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.366991713 seconds [ Info: Dimensions of the Wronskians [145, 18, 9] [ Info: Ranks of the Wronskians computed in 0.001831543 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 10.40003912 [ Info: Selecting generators in 0.087562568 [ Info: Inclusion checked with probability 0.995 in 0.137950569 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 120.951989885 [ Info: Selecting generators in 0.90753659 [ Info: Inclusion checked with probability 0.995 in 0.070359772 seconds [ Info: The search for identifiable functions concluded in 133.929344947 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, reaction_2_k1//reaction_5_k1, a3//reaction_5_k1, a2//reaction_5_k1, a1//reaction_5_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, 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 0.242506527 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.376334046 seconds [ Info: Dimensions of the Wronskians [145, 18, 9] [ Info: Ranks of the Wronskians computed in 0.001674045 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 9.407366245 [ Info: Selecting generators in 0.0831819 [ Info: Inclusion checked with probability 0.995 in 0.576954951 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 116.822590852 [ Info: Selecting generators in 1.513943869 [ Info: Inclusion checked with probability 0.995 in 0.073141616 seconds [ Info: The search for identifiable functions concluded in 130.005508937 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, reaction_2_k1//reaction_5_k1, a3//reaction_5_k1, a2//reaction_5_k1, a1//reaction_5_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, 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 0.198389077 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.39078534 seconds [ Info: Dimensions of the Wronskians [145, 18, 9] [ Info: Ranks of the Wronskians computed in 0.001741323 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 9.788411332 [ Info: Selecting generators in 0.078406766 [ Info: Inclusion checked with probability 0.995 in 0.11480892 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 111.63880677 [ Info: Selecting generators in 1.246063659 [ Info: Inclusion checked with probability 0.995 in 0.064769356 seconds [ Info: The search for identifiable functions concluded in 124.447719979 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, reaction_2_k1//reaction_5_k1, a3//reaction_5_k1, a2//reaction_5_k1, a1//reaction_5_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, 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 0.029221573 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.018113369 seconds [ Info: Dimensions of the Wronskians [4, 2] [ Info: Ranks of the Wronskians computed in 2.791e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.037881291 [ Info: Selecting generators in 0.001910972 [ Info: Inclusion checked with probability 0.995 in 0.003784404 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000196508 [ Info: Selecting generators in 0.009854436 [ Info: Inclusion checked with probability 0.995 in 0.008701738 seconds [ Info: The search for identifiable functions concluded in 0.474574478 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[kbeta10, kbeta, kcryOH + kcrybeta, beta10(t), beta(t), 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 0.032580851 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.032600481 seconds [ Info: Dimensions of the Wronskians [4, 2] [ Info: Ranks of the Wronskians computed in 2.098e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.037599104 [ Info: Selecting generators in 0.004806844 [ Info: Inclusion checked with probability 0.995 in 0.007379479 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000173169 [ Info: Selecting generators in 0.019113419 [ Info: Inclusion checked with probability 0.995 in 0.009016094 seconds [ Info: The search for identifiable functions concluded in 0.233445126 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[kbeta10, kbeta, kcryOH + kcrybeta, beta10(t), beta(t), 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 0.025802316 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.016943669 seconds [ Info: Dimensions of the Wronskians [4, 2] [ Info: Ranks of the Wronskians computed in 2.0809e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.033854349 [ Info: Selecting generators in 0.001788803 [ Info: Inclusion checked with probability 0.995 in 0.006947534 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000172158 [ Info: Selecting generators in 0.010192313 [ Info: Inclusion checked with probability 0.995 in 0.00946554 seconds [ Info: The search for identifiable functions concluded in 0.158393878 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[kbeta10, kbeta, kcryOH + kcrybeta, beta10(t), beta(t), 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 0.032197664 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.016516033 seconds [ Info: Dimensions of the Wronskians [4, 2] [ Info: Ranks of the Wronskians computed in 2.0499e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.058364616 [ Info: Selecting generators in 0.001840912 [ Info: Inclusion checked with probability 0.995 in 0.003641255 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.619705852 [ Info: Selecting generators in 0.010067165 [ Info: Inclusion checked with probability 0.995 in 0.008639628 seconds [ Info: The search for identifiable functions concluded in 1.506056474 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[kbeta10, kbeta, kcryOH + kcrybeta, beta10(t), beta(t), 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 0.026980294 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.016079217 seconds [ Info: Dimensions of the Wronskians [4, 2] [ Info: Ranks of the Wronskians computed in 2.148e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.050253473 [ Info: Selecting generators in 0.004733095 [ Info: Inclusion checked with probability 0.995 in 0.006018213 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.619008139 [ Info: Selecting generators in 0.010047805 [ Info: Inclusion checked with probability 0.995 in 0.009765787 seconds [ Info: The search for identifiable functions concluded in 0.807221773 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[kbeta10, kbeta, kcryOH + kcrybeta, beta10(t), beta(t), 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 0.027069803 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.017306136 seconds [ Info: Dimensions of the Wronskians [4, 2] [ Info: Ranks of the Wronskians computed in 2.393e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.038282647 [ Info: Selecting generators in 0.001751644 [ Info: Inclusion checked with probability 0.995 in 0.003749834 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.575724839 [ Info: Selecting generators in 0.010354972 [ Info: Inclusion checked with probability 0.995 in 0.00952459 seconds [ Info: The search for identifiable functions concluded in 0.730468811 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[kbeta10, kbeta, kcryOH + kcrybeta, beta10(t), beta(t), 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 0.016832621 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.009164103 seconds [ Info: Dimensions of the Wronskians [4, 2, 10] [ Info: Ranks of the Wronskians computed in 3.479e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000113329 [ Info: Selecting generators in 0.007001614 [ Info: Inclusion checked with probability 0.995 in 0.007712017 seconds [ Info: The search for identifiable functions concluded in 0.066676278 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 0.017233936 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.009086444 seconds [ Info: Dimensions of the Wronskians [4, 2, 10] [ Info: Ranks of the Wronskians computed in 3.545e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000128759 [ Info: Selecting generators in 0.007055323 [ Info: Inclusion checked with probability 0.995 in 0.007517938 seconds [ Info: The search for identifiable functions concluded in 0.072268655 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 0.017125697 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.013840038 seconds [ Info: Dimensions of the Wronskians [4, 2, 10] [ Info: Ranks of the Wronskians computed in 2.895e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000116679 [ Info: Selecting generators in 0.007039453 [ Info: Inclusion checked with probability 0.995 in 0.007749257 seconds [ Info: The search for identifiable functions concluded in 0.079267168 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 0.017833351 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.009122294 seconds [ Info: Dimensions of the Wronskians [4, 2, 10] [ Info: Ranks of the Wronskians computed in 3.0599e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.085117993 [ Info: Selecting generators in 0.00733919 [ Info: Inclusion checked with probability 0.995 in 0.007961645 seconds [ Info: The search for identifiable functions concluded in 0.153215896 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 0.017661862 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.009060594 seconds [ Info: Dimensions of the Wronskians [4, 2, 10] [ Info: Ranks of the Wronskians computed in 3.281e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.086086784 [ Info: Selecting generators in 0.007279571 [ Info: Inclusion checked with probability 0.995 in 0.007918405 seconds [ Info: The search for identifiable functions concluded in 0.159544187 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 0.019298707 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.010944827 seconds [ Info: Dimensions of the Wronskians [4, 2, 10] [ Info: Ranks of the Wronskians computed in 3.262e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.098928881 [ Info: Selecting generators in 0.007588418 [ Info: Inclusion checked with probability 0.995 in 0.007700757 seconds [ Info: The search for identifiable functions concluded in 0.181018493 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 0.001509216 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 5.967e-5 [ Info: Selecting generators in 0.000154669 [ Info: Inclusion checked with probability 0.995 in 0.001964781 seconds [ Info: The search for identifiable functions concluded in 0.008735878 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 0.001438417 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 5.8099e-5 [ Info: Selecting generators in 0.000161498 [ Info: Inclusion checked with probability 0.995 in 0.001888702 seconds [ Info: The search for identifiable functions concluded in 0.008316901 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 0.001485896 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 5.781e-5 [ Info: Selecting generators in 0.000170899 [ Info: Inclusion checked with probability 0.995 in 0.001888692 seconds [ Info: The search for identifiable functions concluded in 0.008493629 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 0.001421776 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002274169 [ Info: Selecting generators in 0.000166328 [ Info: Inclusion checked with probability 0.995 in 0.001894952 seconds [ Info: The search for identifiable functions concluded in 0.010667039 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 0.001480856 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002246588 [ Info: Selecting generators in 0.000167928 [ Info: Inclusion checked with probability 0.995 in 0.001977781 seconds [ Info: The search for identifiable functions concluded in 0.010804927 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 0.001546856 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002247568 [ Info: Selecting generators in 0.000155279 [ Info: Inclusion checked with probability 0.995 in 0.001989871 seconds [ Info: The search for identifiable functions concluded in 0.010968366 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 0.012950687 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.036130707 seconds [ Info: Dimensions of the Wronskians [80] [ Info: Ranks of the Wronskians computed in 0.000437506 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.022980962 [ Info: Selecting generators in 0.00943874 [ Info: Inclusion checked with probability 0.995 in 0.03158875 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000131609 [ Info: Selecting generators in 0.008673198 [ Info: Inclusion checked with probability 0.995 in 0.011863797 seconds [ Info: The search for identifiable functions concluded in 0.285774739 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[g, d, (N*a)//b, I(t), U(t)*a + I(t)*a, E(t)//(U(t) + I(t)), S(t)//(U(t) + I(t))] │ 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 0.012223574 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.034937659 seconds [ Info: Dimensions of the Wronskians [80] [ Info: Ranks of the Wronskians computed in 0.000416216 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.021440087 [ Info: Selecting generators in 0.008804507 [ Info: Inclusion checked with probability 0.995 in 0.031055266 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000201078 [ Info: Selecting generators in 0.009058384 [ Info: Inclusion checked with probability 0.995 in 0.012264334 seconds [ Info: The search for identifiable functions concluded in 1.301187288 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[g, d, (N*a)//b, I(t), U(t)*a + I(t)*a, E(t)//(U(t) + I(t)), S(t)//(U(t) + I(t))] │ 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 0.01371254 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.051962427 seconds [ Info: Dimensions of the Wronskians [80] [ Info: Ranks of the Wronskians computed in 0.000405166 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.032355293 [ Info: Selecting generators in 0.01476633 [ Info: Inclusion checked with probability 0.995 in 0.045451349 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000152569 [ Info: Selecting generators in 0.008813476 [ Info: Inclusion checked with probability 0.995 in 0.011912977 seconds [ Info: The search for identifiable functions concluded in 0.370898132 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[g, d, (N*a)//b, I(t), U(t)*a + I(t)*a, E(t)//(U(t) + I(t)), S(t)//(U(t) + I(t))] │ 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 0.011679149 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.035627722 seconds [ Info: Dimensions of the Wronskians [80] [ Info: Ranks of the Wronskians computed in 0.000404576 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.022257529 [ Info: Selecting generators in 0.009144313 [ Info: Inclusion checked with probability 0.995 in 0.0316303 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.307119177 [ Info: Selecting generators in 0.015859269 [ Info: Inclusion checked with probability 0.995 in 0.012110605 seconds [ Info: The search for identifiable functions concluded in 0.593593409 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[g, d, (N*a)//b, I(t), E(t)*a, S(t)*a, U(t)*a + I(t)*a] │ 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 0.01267256 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.036952079 seconds [ Info: Dimensions of the Wronskians [80] [ Info: Ranks of the Wronskians computed in 0.000389076 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.022086311 [ Info: Selecting generators in 0.009878756 [ Info: Inclusion checked with probability 0.995 in 0.034081277 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.532646398 [ Info: Selecting generators in 0.015673831 [ Info: Inclusion checked with probability 0.995 in 0.011703579 seconds [ Info: The search for identifiable functions concluded in 0.845786547 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[g, d, (N*a)//b, I(t), E(t)*a, S(t)*a, U(t)*a + I(t)*a] │ 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 0.013157205 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.037122868 seconds [ Info: Dimensions of the Wronskians [80] [ Info: Ranks of the Wronskians computed in 0.000351327 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.022821923 [ Info: Selecting generators in 0.010043825 [ Info: Inclusion checked with probability 0.995 in 0.033582251 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.331089499 [ Info: Selecting generators in 0.016189556 [ Info: Inclusion checked with probability 0.995 in 0.013032097 seconds [ Info: The search for identifiable functions concluded in 0.646379928 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[g, d, (N*a)//b, I(t), E(t)*a, S(t)*a, U(t)*a + I(t)*a] │ 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 0.001227699 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000927091 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.41e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.00105969 [ Info: Selecting generators in 0.000559974 [ Info: Inclusion checked with probability 0.995 in 0.001640635 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000108709 [ Info: Selecting generators in 0.001154769 [ Info: Inclusion checked with probability 0.995 in 0.002998061 seconds [ Info: The search for identifiable functions concluded in 0.020587725 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 0.00109884 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000883911 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.917e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001147299 [ Info: Selecting generators in 0.000778112 [ Info: Inclusion checked with probability 0.995 in 0.001737644 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.1499e-5 [ Info: Selecting generators in 0.001184169 [ Info: Inclusion checked with probability 0.995 in 0.003293978 seconds [ Info: The search for identifiable functions concluded in 0.020974721 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 0.00110695 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000834102 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.336e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001158109 [ Info: Selecting generators in 0.000830892 [ Info: Inclusion checked with probability 0.995 in 0.001746954 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.291e-5 [ Info: Selecting generators in 0.001172129 [ Info: Inclusion checked with probability 0.995 in 0.002938282 seconds [ Info: The search for identifiable functions concluded in 0.020902072 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 0.00107902 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000825512 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 0.001181849 [ Info: Selecting generators in 0.000708683 [ Info: Inclusion checked with probability 0.995 in 0.001766143 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.004102771 [ Info: Selecting generators in 0.001817583 [ Info: Inclusion checked with probability 0.995 in 0.002548506 seconds [ Info: The search for identifiable functions concluded in 0.025134092 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 0.00113787 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000805482 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.219e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001113929 [ Info: Selecting generators in 0.000578255 [ Info: Inclusion checked with probability 0.995 in 0.001798773 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.004006612 [ Info: Selecting generators in 0.001861072 [ Info: Inclusion checked with probability 0.995 in 0.002765763 seconds [ Info: The search for identifiable functions concluded in 0.024686336 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 0.00105733 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000803193 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.219e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001352687 [ Info: Selecting generators in 0.000590135 [ Info: Inclusion checked with probability 0.995 in 0.001814923 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.003974772 [ Info: Selecting generators in 0.001808752 [ Info: Inclusion checked with probability 0.995 in 0.002504347 seconds [ Info: The search for identifiable functions concluded in 0.024328859 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 0.003080091 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002388368 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 3.048e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.9089e-5 [ Info: Selecting generators in 0.003418458 [ Info: Inclusion checked with probability 0.995 in 0.004360988 seconds [ Info: The search for identifiable functions concluded in 0.027725217 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 0.003648156 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003028311 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.107e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000101539 [ Info: Selecting generators in 0.003664695 [ Info: Inclusion checked with probability 0.995 in 0.004318419 seconds [ Info: The search for identifiable functions concluded in 0.036432135 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 0.003360208 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002983762 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.886e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000100869 [ Info: Selecting generators in 0.00526117 [ Info: Inclusion checked with probability 0.995 in 0.005557057 seconds [ Info: The search for identifiable functions concluded in 0.033231434 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 0.003488957 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002677285 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.854e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.031303453 [ Info: Selecting generators in 0.003436897 [ Info: Inclusion checked with probability 0.995 in 0.004047541 seconds [ Info: The search for identifiable functions concluded in 0.060429857 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 0.003067011 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002188739 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.896e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.03054964 [ Info: Selecting generators in 0.003339938 [ Info: Inclusion checked with probability 0.995 in 0.003994392 seconds [ Info: The search for identifiable functions concluded in 0.056238037 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 0.002957312 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002083631 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.908e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.031619851 [ Info: Selecting generators in 0.003626505 [ Info: Inclusion checked with probability 0.995 in 0.004122351 seconds [ Info: The search for identifiable functions concluded in 0.05684965 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 0.003377388 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00207326 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.805e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.030290203 [ Info: Selecting generators in 0.00324422 [ Info: Inclusion checked with probability 0.995 in 0.003933962 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000132599 [ Info: Selecting generators in 0.008513199 [ Info: Inclusion checked with probability 0.995 in 0.006475209 seconds [ Info: The search for identifiable functions concluded in 0.094274776 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, k02 + k12, k01 + k21, k12*k21, x1(t), 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 0.002759764 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001986241 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.868e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.028637858 [ Info: Selecting generators in 0.00320349 [ Info: Inclusion checked with probability 0.995 in 0.004564367 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000112919 [ Info: Selecting generators in 0.008543259 [ Info: Inclusion checked with probability 0.995 in 0.006619897 seconds [ Info: The search for identifiable functions concluded in 0.09275805 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, k02 + k12, k01 + k21, k12*k21, x1(t), 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 0.003017481 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002054741 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.87e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.030156954 [ Info: Selecting generators in 0.00313528 [ Info: Inclusion checked with probability 0.995 in 0.003806593 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000119669 [ Info: Selecting generators in 0.009232442 [ Info: Inclusion checked with probability 0.995 in 0.007491949 seconds [ Info: The search for identifiable functions concluded in 0.094508953 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, k02 + k12, k01 + k21, k12*k21, x1(t), 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 0.002794173 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002271858 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.846e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.029210793 [ Info: Selecting generators in 0.00315001 [ Info: Inclusion checked with probability 0.995 in 0.003859904 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.127034665 [ Info: Selecting generators in 0.010775928 [ Info: Inclusion checked with probability 0.995 in 0.006268631 seconds [ Info: The search for identifiable functions concluded in 0.221805345 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, k02 + k12, k01 + k21, k12*k21, x1(t), 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 0.002937372 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001949432 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.886e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.027636208 [ Info: Selecting generators in 0.003042271 [ Info: Inclusion checked with probability 0.995 in 0.003673525 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.124956755 [ Info: Selecting generators in 0.01055277 [ Info: Inclusion checked with probability 0.995 in 0.006070713 seconds [ Info: The search for identifiable functions concluded in 0.218870154 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, k02 + k12, k01 + k21, k12*k21, x1(t), 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 0.002809754 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001928701 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.703e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.027572679 [ Info: Selecting generators in 0.002958943 [ Info: Inclusion checked with probability 0.995 in 0.003647215 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.119897853 [ Info: Selecting generators in 0.010435131 [ Info: Inclusion checked with probability 0.995 in 0.006605838 seconds [ Info: The search for identifiable functions concluded in 0.211045128 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, k02 + k12, k01 + k21, k12*k21, x1(t), 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 0.003833153 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003953303 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.0489e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.4869e-5 [ Info: Selecting generators in 0.010577879 [ Info: Inclusion checked with probability 0.995 in 0.007440219 seconds [ Info: The search for identifiable functions concluded in 0.045880555 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 0.00424288 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004037721 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.068e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000104589 [ Info: Selecting generators in 0.011011365 [ Info: Inclusion checked with probability 0.995 in 0.00741119 seconds [ Info: The search for identifiable functions concluded in 0.047805826 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 0.004363649 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003625515 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.005e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000104699 [ Info: Selecting generators in 0.013218885 [ Info: Inclusion checked with probability 0.995 in 0.007214542 seconds [ Info: The search for identifiable functions concluded in 0.048929356 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 0.003856634 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003469257 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.098e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.117238428 [ Info: Selecting generators in 0.014486592 [ Info: Inclusion checked with probability 0.995 in 0.007024983 seconds [ Info: The search for identifiable functions concluded in 0.16768555 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 0.003835033 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003291379 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 2.833e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.1233685 [ Info: Selecting generators in 0.016651593 [ Info: Inclusion checked with probability 0.995 in 0.007727776 seconds [ Info: The search for identifiable functions concluded in 0.176869852 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 0.007141243 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.010252422 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.5569e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.126907316 [ Info: Selecting generators in 0.016719401 [ Info: Inclusion checked with probability 0.995 in 0.007542529 seconds [ Info: The search for identifiable functions concluded in 0.208410253 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 0.0042173 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004042452 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.139e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.12762163 [ Info: Selecting generators in 0.016982749 [ Info: Inclusion checked with probability 0.995 in 0.008028264 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000136989 [ Info: Selecting generators in 0.019932201 [ Info: Inclusion checked with probability 0.995 in 0.015757761 seconds [ Info: The search for identifiable functions concluded in 0.274962622 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 0.004096701 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003896743 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 2.999e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.126724758 [ Info: Selecting generators in 0.016747011 [ Info: Inclusion checked with probability 0.995 in 0.007808476 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000145458 [ Info: Selecting generators in 0.019435216 [ Info: Inclusion checked with probability 0.995 in 0.015575202 seconds [ Info: The search for identifiable functions concluded in 0.272365616 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 0.00412697 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004143641 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.278e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.127756939 [ Info: Selecting generators in 0.016646142 [ Info: Inclusion checked with probability 0.995 in 0.007914525 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000159089 [ Info: Selecting generators in 0.019466626 [ Info: Inclusion checked with probability 0.995 in 0.015419733 seconds [ Info: The search for identifiable functions concluded in 0.273885522 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 0.004130381 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00416465 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.1399e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.126919536 [ Info: Selecting generators in 0.017183317 [ Info: Inclusion checked with probability 0.995 in 0.007856805 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 2.045416789 [ Info: Selecting generators in 0.026760617 [ Info: Inclusion checked with probability 0.995 in 0.018814932 seconds [ Info: The search for identifiable functions concluded in 2.331497385 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 0.00527501 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004521367 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 6.454e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.133106148 [ Info: Selecting generators in 0.016837641 [ Info: Inclusion checked with probability 0.995 in 0.007682917 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.468526176 [ Info: Selecting generators in 0.020562505 [ Info: Inclusion checked with probability 0.995 in 0.014706171 seconds [ Info: The search for identifiable functions concluded in 0.751904408 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 0.003889223 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003624416 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 4.253e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.119637915 [ Info: Selecting generators in 0.014942769 [ Info: Inclusion checked with probability 0.995 in 0.007018983 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.442417523 [ Info: Selecting generators in 0.019271088 [ Info: Inclusion checked with probability 0.995 in 0.013365313 seconds [ Info: The search for identifiable functions concluded in 0.695662502 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 0.004845664 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003866464 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.052e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000138919 [ Info: Selecting generators in 0.010034505 [ Info: Inclusion checked with probability 0.995 in 0.008958245 seconds [ Info: The search for identifiable functions concluded in 0.100639225 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 0.004989293 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003800804 seconds [ Info: Dimensions of the Wronskians [7] [ 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 0.000126688 [ Info: Selecting generators in 0.009956615 [ Info: Inclusion checked with probability 0.995 in 0.008882475 seconds [ Info: The search for identifiable functions concluded in 0.099290028 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 0.005060942 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003841254 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.027e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000135499 [ Info: Selecting generators in 0.011523391 [ Info: Inclusion checked with probability 0.995 in 0.009707788 seconds [ Info: The search for identifiable functions concluded in 0.106911876 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 0.005049762 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003912593 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.081e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.188775389 [ Info: Selecting generators in 0.01473752 [ Info: Inclusion checked with probability 0.995 in 0.007085513 seconds [ Info: The search for identifiable functions concluded in 0.298507019 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 0.004981463 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003894923 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 1.8399e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.191682762 [ Info: Selecting generators in 0.015113417 [ Info: Inclusion checked with probability 0.995 in 0.007182222 seconds [ Info: The search for identifiable functions concluded in 0.300387481 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 0.005058482 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004028462 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 1.9329e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.193385825 [ Info: Selecting generators in 0.016424444 [ Info: Inclusion checked with probability 0.995 in 0.007776177 seconds [ Info: The search for identifiable functions concluded in 0.309825461 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 0.005559378 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004563427 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 1.939e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.52873467 [ Info: Selecting generators in 0.018652033 [ Info: Inclusion checked with probability 0.995 in 0.007745957 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000164669 [ Info: Selecting generators in 0.049022115 [ Info: Inclusion checked with probability 0.995 in 0.016155536 seconds [ Info: The search for identifiable functions concluded in 1.889566147 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, x1(t), x1(t)*k12 + x1(t)*k31 - x2(t)*k12 - x3(t)*k13, (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 0.00529678 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004255369 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.06e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.190191076 [ Info: Selecting generators in 0.014674191 [ Info: Inclusion checked with probability 0.995 in 0.00735053 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000170638 [ Info: Selecting generators in 0.04435508 [ Info: Inclusion checked with probability 0.995 in 0.016973339 seconds [ Info: The search for identifiable functions concluded in 0.527904093 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, x1(t), x1(t)*k12 + x1(t)*k31 - x2(t)*k12 - x3(t)*k13, (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 0.005120751 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004445698 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.004e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.18241545 [ Info: Selecting generators in 0.015135076 [ Info: Inclusion checked with probability 0.995 in 0.006925314 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000191318 [ Info: Selecting generators in 0.044980043 [ Info: Inclusion checked with probability 0.995 in 0.016753011 seconds [ Info: The search for identifiable functions concluded in 0.533558399 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, x1(t), x1(t)*k12 + x1(t)*k31 - x2(t)*k12 - x3(t)*k13, (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 0.005070401 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003982222 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 1.906e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.183008394 [ Info: Selecting generators in 0.015147716 [ Info: Inclusion checked with probability 0.995 in 0.006949614 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 2.881338561 [ Info: Selecting generators in 0.049441641 [ Info: Inclusion checked with probability 0.995 in 0.015039978 seconds [ Info: The search for identifiable functions concluded in 3.407369821 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, x1(t), x2(t)*k12 + x3(t)*k13, 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 0.00528774 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004077331 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.0809e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.17602691 [ Info: Selecting generators in 0.014558662 [ Info: Inclusion checked with probability 0.995 in 0.007053343 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 2.033335675 [ Info: Selecting generators in 0.053178125 [ Info: Inclusion checked with probability 0.995 in 0.016431544 seconds [ Info: The search for identifiable functions concluded in 2.559133168 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, x1(t), x2(t)*k12 + x3(t)*k13, 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 0.005362139 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004504707 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.053e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.199761675 [ Info: Selecting generators in 0.014111746 [ Info: Inclusion checked with probability 0.995 in 0.006588898 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 3.107062771 [ Info: Selecting generators in 0.05792601 [ Info: Inclusion checked with probability 0.995 in 0.016977648 seconds [ Info: The search for identifiable functions concluded in 3.762775962 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, x1(t), x2(t)*k12 + x3(t)*k13, 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 0.016099918 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007850276 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.2079e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000124629 [ Info: Selecting generators in 0.008571568 [ Info: Inclusion checked with probability 0.995 in 0.00624773 seconds [ Info: The search for identifiable functions concluded in 0.071910168 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 0.015933949 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007708597 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.101e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.9849e-5 [ Info: Selecting generators in 0.008232622 [ Info: Inclusion checked with probability 0.995 in 0.006176512 seconds [ Info: The search for identifiable functions concluded in 0.069395462 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 0.015390684 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007664057 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.068e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.8379e-5 [ Info: Selecting generators in 0.008745807 [ Info: Inclusion checked with probability 0.995 in 0.00636067 seconds [ Info: The search for identifiable functions concluded in 0.070284134 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 0.015522623 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007989194 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.1699e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.113820321 [ Info: Selecting generators in 0.020703024 [ Info: Inclusion checked with probability 0.995 in 0.012446422 seconds [ Info: The search for identifiable functions concluded in 0.205785598 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 0.023858994 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007533399 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 1.978e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.109929108 [ Info: Selecting generators in 0.008016224 [ Info: Inclusion checked with probability 0.995 in 0.005972473 seconds [ Info: The search for identifiable functions concluded in 0.185983776 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 0.015137696 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.0073841 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.11e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.110485032 [ Info: Selecting generators in 0.008161882 [ Info: Inclusion checked with probability 0.995 in 0.005984594 seconds [ Info: The search for identifiable functions concluded in 0.17920728 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 0.014600851 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007104712 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.108e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.108548 [ Info: Selecting generators in 0.008555688 [ Info: Inclusion checked with probability 0.995 in 0.005887944 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000148389 [ Info: Selecting generators in 0.025495489 [ Info: Inclusion checked with probability 0.995 in 0.012331123 seconds [ Info: The search for identifiable functions concluded in 0.292898182 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a31, a13, a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x3(t), x2(t), x1(t), 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 0.015967358 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007840096 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.12e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.111874079 [ Info: Selecting generators in 0.00945797 [ Info: Inclusion checked with probability 0.995 in 0.006637727 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000151319 [ Info: Selecting generators in 0.026974314 [ Info: Inclusion checked with probability 0.995 in 0.01261525 seconds [ Info: The search for identifiable functions concluded in 0.310646304 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a31, a13, a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x3(t), x2(t), x1(t), 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 0.03795909 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.027150073 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.173e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.14235135 [ Info: Selecting generators in 0.009396511 [ Info: Inclusion checked with probability 0.995 in 0.007102182 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000160139 [ Info: Selecting generators in 0.031338273 [ Info: Inclusion checked with probability 0.995 in 1.432055911 seconds [ Info: The search for identifiable functions concluded in 1.865748368 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a31, a13, a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x3(t), x2(t), x1(t), 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 0.018260997 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.009704468 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.456e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.127435421 [ Info: Selecting generators in 0.009326102 [ Info: Inclusion checked with probability 0.995 in 0.006844515 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.853314639 [ Info: Selecting generators in 0.023547897 [ Info: Inclusion checked with probability 0.995 in 0.011804078 seconds [ Info: The search for identifiable functions concluded in 1.192512712 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a31, a13, a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x3(t), x2(t), x1(t), 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 0.014516162 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006766176 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 3.431e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.110201245 [ Info: Selecting generators in 0.007822626 [ Info: Inclusion checked with probability 0.995 in 0.006143611 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.66096128 [ Info: Selecting generators in 0.024803064 [ Info: Inclusion checked with probability 0.995 in 0.011703149 seconds [ Info: The search for identifiable functions concluded in 1.95743878 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a31, a13, a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x3(t), x2(t), x1(t), 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 0.014869629 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006863825 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.598e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.106831537 [ Info: Selecting generators in 0.008133253 [ Info: Inclusion checked with probability 0.995 in 0.005943084 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.6863613 [ Info: Selecting generators in 0.025674826 [ Info: Inclusion checked with probability 0.995 in 0.013070456 seconds [ Info: The search for identifiable functions concluded in 1.979941766 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a31, a13, a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x3(t), x2(t), x1(t), 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 0.002617055 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001872312 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.2499e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.5929e-5 [ Info: Selecting generators in 0.003179829 [ Info: Inclusion checked with probability 0.995 in 0.00422573 seconds [ Info: The search for identifiable functions concluded in 0.024944983 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 0.003627285 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001807433 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.803e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 6.7569e-5 [ Info: Selecting generators in 0.00314043 [ Info: Inclusion checked with probability 0.995 in 0.003945453 seconds [ Info: The search for identifiable functions concluded in 0.025336289 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 0.002457847 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001744843 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.1909e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 6.9609e-5 [ Info: Selecting generators in 0.002998291 [ Info: Inclusion checked with probability 0.995 in 0.003979413 seconds [ Info: The search for identifiable functions concluded in 0.023929983 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 0.002425157 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001762713 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.438e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.020681064 [ Info: Selecting generators in 0.00310125 [ Info: Inclusion checked with probability 0.995 in 0.003857693 seconds [ Info: The search for identifiable functions concluded in 0.044545067 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 0.002540156 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001750853 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.785e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.020803933 [ Info: Selecting generators in 0.003072631 [ Info: Inclusion checked with probability 0.995 in 0.003846903 seconds [ Info: The search for identifiable functions concluded in 0.044491498 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 0.002275378 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001724564 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.1379e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.020230299 [ Info: Selecting generators in 0.003141141 [ Info: Inclusion checked with probability 0.995 in 0.003907482 seconds [ Info: The search for identifiable functions concluded in 0.043752345 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 0.002422967 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001792103 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.1239e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.020401617 [ Info: Selecting generators in 0.00322263 [ Info: Inclusion checked with probability 0.995 in 0.003771214 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000101209 [ Info: Selecting generators in 0.006504179 [ Info: Inclusion checked with probability 0.995 in 0.00634176 seconds [ Info: The search for identifiable functions concluded in 0.076905551 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 0.002444857 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001768523 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.275e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.020427676 [ Info: Selecting generators in 0.003259139 [ Info: Inclusion checked with probability 0.995 in 0.003887263 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000113789 [ Info: Selecting generators in 0.006601197 [ Info: Inclusion checked with probability 0.995 in 0.00635718 seconds [ Info: The search for identifiable functions concluded in 0.078524996 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 0.002453097 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001733903 seconds [ Info: Dimensions of the Wronskians [5] [ 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 0.02009058 [ Info: Selecting generators in 0.003014651 [ Info: Inclusion checked with probability 0.995 in 0.003905473 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.3389e-5 [ Info: Selecting generators in 0.006367009 [ Info: Inclusion checked with probability 0.995 in 0.006427929 seconds [ Info: The search for identifiable functions concluded in 0.075444195 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 0.002441137 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001733383 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.817e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.019877002 [ Info: Selecting generators in 0.003040541 [ Info: Inclusion checked with probability 0.995 in 0.003820583 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.11707594 [ Info: Selecting generators in 0.007709707 [ Info: Inclusion checked with probability 0.995 in 0.005673476 seconds [ Info: The search for identifiable functions concluded in 0.193206088 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 0.002472297 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001796713 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.214e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.020311968 [ Info: Selecting generators in 0.002963752 [ Info: Inclusion checked with probability 0.995 in 0.003707365 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.113364376 [ Info: Selecting generators in 0.008249071 [ Info: Inclusion checked with probability 0.995 in 0.006073863 seconds [ Info: The search for identifiable functions concluded in 0.191284966 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 0.002341048 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001703004 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.287e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.019590804 [ Info: Selecting generators in 0.002934422 [ Info: Inclusion checked with probability 0.995 in 0.003762485 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.114576603 [ Info: Selecting generators in 0.008073583 [ Info: Inclusion checked with probability 0.995 in 0.006022423 seconds [ Info: The search for identifiable functions concluded in 0.189889839 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 0.00211473 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001662824 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 1.841e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.516e-5 [ Info: Selecting generators in 0.003664735 [ Info: Inclusion checked with probability 0.995 in 0.003915403 seconds [ Info: The search for identifiable functions concluded in 0.022717905 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 0.00210438 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001626595 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 1.86e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.9799e-5 [ Info: Selecting generators in 0.003714475 [ Info: Inclusion checked with probability 0.995 in 0.003751934 seconds [ Info: The search for identifiable functions concluded in 0.02211416 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 0.002158389 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001609494 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 1.927e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.646e-5 [ Info: Selecting generators in 0.003557956 [ Info: Inclusion checked with probability 0.995 in 0.004122781 seconds [ Info: The search for identifiable functions concluded in 0.022409928 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 0.00209912 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001646924 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 1.817e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.030321792 [ Info: Selecting generators in 0.003745594 [ Info: Inclusion checked with probability 0.995 in 0.003538407 seconds [ Info: The search for identifiable functions concluded in 0.052496772 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 0.002171589 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001623385 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 1.866e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.030636469 [ Info: Selecting generators in 0.003737005 [ Info: Inclusion checked with probability 0.995 in 0.003746734 seconds [ Info: The search for identifiable functions concluded in 0.053470353 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 0.002197969 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001670254 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 1.928e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.030403932 [ Info: Selecting generators in 0.003859544 [ Info: Inclusion checked with probability 0.995 in 0.003858994 seconds [ Info: The search for identifiable functions concluded in 0.053509102 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 0.002191019 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001660415 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 1.8349e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.211370844 [ Info: Selecting generators in 0.005182401 [ Info: Inclusion checked with probability 0.995 in 0.004607556 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000219048 [ Info: Selecting generators in 0.007666108 [ Info: Inclusion checked with probability 0.995 in 0.00842507 seconds [ Info: The search for identifiable functions concluded in 1.281899416 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p5, p3, p1, p2//p4, x1(t), x2(t)*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 0.002849063 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00218894 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.249e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.035730421 [ Info: Selecting generators in 0.004360289 [ Info: Inclusion checked with probability 0.995 in 0.004481227 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000118389 [ Info: Selecting generators in 0.005578307 [ Info: Inclusion checked with probability 0.995 in 0.006155362 seconds [ Info: The search for identifiable functions concluded in 0.098668584 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p5, p3, p1, p2//p4, x1(t), x2(t)*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 0.002973742 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001879392 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.141e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.034115006 [ Info: Selecting generators in 0.004517057 [ Info: Inclusion checked with probability 0.995 in 0.004272879 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000111209 [ Info: Selecting generators in 0.005555957 [ Info: Inclusion checked with probability 0.995 in 0.006336219 seconds [ Info: The search for identifiable functions concluded in 0.096226767 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p5, p3, p1, p2//p4, x1(t), x2(t)*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 0.002496516 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001873672 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 1.978e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.034175476 [ Info: Selecting generators in 0.00423963 [ Info: Inclusion checked with probability 0.995 in 0.00425652 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.096707383 [ Info: Selecting generators in 0.007276441 [ Info: Inclusion checked with probability 0.995 in 0.005981763 seconds [ Info: The search for identifiable functions concluded in 0.192425285 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p5, p3, p1, p2//p4, x1(t), x2(t)*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 0.002578105 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001739644 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 1.842e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.033178626 [ Info: Selecting generators in 0.004347029 [ Info: Inclusion checked with probability 0.995 in 0.0042332 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.106813088 [ Info: Selecting generators in 0.007628878 [ Info: Inclusion checked with probability 0.995 in 0.006145192 seconds [ Info: The search for identifiable functions concluded in 0.203454341 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p5, p3, p1, p2//p4, x1(t), x2(t)*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 0.003651925 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002241609 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 1.838e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.038471725 [ Info: Selecting generators in 0.004672176 [ Info: Inclusion checked with probability 0.995 in 0.003841303 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.094077648 [ Info: Selecting generators in 0.006957764 [ Info: Inclusion checked with probability 0.995 in 0.005814135 seconds [ Info: The search for identifiable functions concluded in 0.1951347 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p5, p3, p1, p2//p4, x1(t), x2(t)*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 0.013599671 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00629313 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 2.209e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000140008 [ Info: Selecting generators in 0.015753501 [ Info: Inclusion checked with probability 0.995 in 0.010394001 seconds [ Info: The search for identifiable functions concluded in 0.170661172 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 0.013409873 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006165712 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 2.186e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000136679 [ Info: Selecting generators in 0.015949579 [ Info: Inclusion checked with probability 0.995 in 0.010165243 seconds [ Info: The search for identifiable functions concluded in 0.170630082 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 0.013992408 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006046513 seconds [ Info: Dimensions of the Wronskians [7, 4] [ 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 0.000153078 [ Info: Selecting generators in 0.016808691 [ Info: Inclusion checked with probability 0.995 in 0.011162384 seconds [ Info: The search for identifiable functions concluded in 0.177304499 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 0.013973197 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007151642 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 2.578e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.287327495 [ Info: Selecting generators in 0.022319168 [ Info: Inclusion checked with probability 0.995 in 0.011219714 seconds [ Info: The search for identifiable functions concluded in 0.481839161 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 0.014429294 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007726836 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 2.286e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.338036514 [ Info: Selecting generators in 0.020757644 [ Info: Inclusion checked with probability 0.995 in 0.010833907 seconds [ Info: The search for identifiable functions concluded in 1.526974011 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 0.014823259 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006717636 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 2.3369e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.297264721 [ Info: Selecting generators in 0.020764913 [ Info: Inclusion checked with probability 0.995 in 0.010801287 seconds [ Info: The search for identifiable functions concluded in 0.486887474 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 0.014803259 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006900205 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 2.6569e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.29109747 [ Info: Selecting generators in 0.019327596 [ Info: Inclusion checked with probability 0.995 in 0.009815727 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:01 Points: 313   ✓ # Computing specializations.. Time: 0:00:01 [ Info: Search for polynomial generators concluded in 0.000218228 [ Info: Selecting generators in 0.054431014 [ Info: Inclusion checked with probability 0.995 in 0.034951209 seconds [ Info: The search for identifiable functions concluded in 2.555498139 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, x4(t), x1(t), x3(t)*k2 - x4(t)*c, (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 0.013983868 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006549888 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 2.191e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.297927595 [ Info: Selecting generators in 0.020083059 [ Info: Inclusion checked with probability 0.995 in 0.0104924 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000378516 [ Info: Selecting generators in 0.072629921 [ Info: Inclusion checked with probability 0.995 in 0.03903533 seconds [ Info: The search for identifiable functions concluded in 2.540769259 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, x4(t), x1(t), x3(t)*k2 - x4(t)*c, (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 0.016638862 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.008176403 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 2.831e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.329032331 [ Info: Selecting generators in 0.020776233 [ Info: Inclusion checked with probability 0.995 in 0.011543131 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000229348 [ Info: Selecting generators in 0.058366327 [ Info: Inclusion checked with probability 0.995 in 0.036800122 seconds [ Info: The search for identifiable functions concluded in 1.34574047 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, x4(t), x1(t), x3(t)*k2 - x4(t)*c, (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 0.014595582 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007941855 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 2.255e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.152000827 [ Info: Selecting generators in 0.021699954 [ Info: Inclusion checked with probability 0.995 in 0.010798928 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 3.870773191 [ Info: Selecting generators in 0.896434341 [ Info: Inclusion checked with probability 0.995 in 0.035429314 seconds [ Info: The search for identifiable functions concluded in 6.868533138 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, x4(t), x1(t), x3(t)*k2 - x4(t)*c, 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 0.017148288 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.008365771 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 2.8669e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.309310857 [ Info: Selecting generators in 0.020338097 [ Info: Inclusion checked with probability 0.995 in 0.0105678 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 3.144241119 [ Info: Selecting generators in 0.062125011 [ Info: Inclusion checked with probability 0.995 in 0.029838547 seconds [ Info: The search for identifiable functions concluded in 4.443366491 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, x4(t), x1(t), x3(t)*k2 - x4(t)*c, 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 0.013189685 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005889744 seconds [ Info: Dimensions of the Wronskians [7, 4] [ Info: Ranks of the Wronskians computed in 2.287e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.213811232 [ Info: Selecting generators in 0.023410878 [ Info: Inclusion checked with probability 0.995 in 0.012052466 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 4.080706002 [ Info: Selecting generators in 0.064122292 [ Info: Inclusion checked with probability 0.995 in 0.030260283 seconds [ Info: The search for identifiable functions concluded in 6.354644183 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, x4(t), x1(t), x3(t)*k2 - x4(t)*c, x2(t)*k1*k2 + x3(t)*k1*k2 + x3(t)*k2*mu1 + x4(t)*k1*mu2 + x4(t)*mu1*mu2] │ case = │ (ode = x1'(t) = -x1(t)*x4(t)*beta - x1(t)*d + s │ x2'(t) = x1(t)*x4(t)*beta*q1 - x2(t)*k1 - x2(t)*mu1 │ x3'(t) = x1(t)*x4(t)*beta*q2 + x2(t)*k1 - x3(t)*mu2 │ x4'(t) = x3(t)*k2 - x4(t)*c │ y1(t) = x1(t) │ y2(t) = x4(t) │ , ident_funcs = Nemo.QQMPolyRingElem[s, d, beta, x4(t), x1(t), c + k1 + mu1 + mu2, k2*q2, x3(t)*k2 - x4(t)*c, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2, x2(t)*k1*k2 + x3(t)*k1*k2 + x3(t)*k2*mu1 + x4(t)*k1*mu2 + x4(t)*mu1*mu2], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 16 variables x1(t), x2(t), x3(t), x4(t), ..., s │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y1(t), y2(t), beta, c, d, k1, k2, mu1, mu2, q1, q2, s] [ Info: Computing IO-equations [ Info: Computed IO-equations in 1.836493388 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 1.787078646 seconds [ Info: Dimensions of the Wronskians [279] [ Info: Ranks of the Wronskians computed in 0.008766977 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:04 ⌝ # Computing specializations.. Time: 0:00:04 ✓ # Computing specializations.. Time: 0:00:04 ⌜ # Computing specializations.. Time: 0:00:00 ⌝ # Computing specializations.. Time: 0:00:01 ⌟ # Computing specializations.. Time: 0:00:02 ⌞ # Computing specializations.. Time: 0:00:03 ⌜ # Computing specializations.. Time: 0:00:04 ✓ # Computing specializations.. Time: 0:00:04 ⌜ # Computing specializations.. Time: 0:00:00 Points: 2   ⌝ # Computing specializations.. Time: 0:00:01 Points: 4   ⌟ # Computing specializations.. Time: 0:00:01 Points: 6   ⌞ # Computing specializations.. Time: 0:00:02 Points: 7   ⌜ # Computing specializations.. Time: 0:00:03 Points: 9   ⌝ # Computing specializations.. Time: 0:00:03 Points: 10   ⌟ # Computing specializations.. Time: 0:00:04 Points: 12   ⌞ # Computing specializations.. Time: 0:00:04 Points: 14   ⌜ # Computing specializations.. Time: 0:00:05 Points: 15   ⌝ # Computing specializations.. 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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: 0:00:03 ⌝ # Computing specializations.. Time: 0:00:03 ⌟ # Computing specializations.. Time: 0:00:04 ⌞ # Computing specializations.. Time: 0:00:04 ⌜ # Computing specializations.. Time: 0:00:05 ⌝ # Computing specializations.. Time: 0:00:06 ⌟ # Computing specializations.. Time: 0:00:06 ⌞ # Computing specializations.. Time: 0:00:06 ⌜ # 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: 0:00:01 Points: 2   ⌝ # Computing specializations.. Time: 0:00:01 Points: 4   ⌟ # Computing specializations.. Time: 0:00:02 Points: 5   ⌞ # Computing specializations.. Time: 0:00:02 Points: 6   ⌜ # Computing specializations.. 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Time: 0:01:10 Points: 173   ⌟ # Computing specializations.. Time: 0:01:10 Points: 174   ⌞ # Computing specializations.. Time: 0:01:11 Points: 175   ⌜ # Computing specializations.. Time: 0:01:11 Points: 176   ⌝ # Computing specializations.. Time: 0:01:12 Points: 178   ⌟ # Computing specializations.. Time: 0:01:12 Points: 179   ⌞ # Computing specializations.. Time: 0:01:13 Points: 181   ⌜ # Computing specializations.. Time: 0:01:13 Points: 182   ⌝ # Computing specializations.. Time: 0:01:15 Points: 184   ⌟ # Computing specializations.. Time: 0:01:15 Points: 186   ⌞ # Computing specializations.. Time: 0:01:15 Points: 187   ⌜ # Computing specializations.. Time: 0:01:16 Points: 189   ⌝ # Computing specializations.. Time: 0:01:17 Points: 190   ⌟ # Computing specializations.. Time: 0:01:17 Points: 192   ⌞ # Computing specializations.. Time: 0:01:18 Points: 194   ⌜ # Computing specializations.. Time: 0:01:19 Points: 195   ⌝ # Computing specializations.. Time: 0:01:19 Points: 197   ⌟ # Computing specializations.. Time: 0:01:20 Points: 198   ⌞ # Computing specializations.. Time: 0:01:20 Points: 200   ⌜ # Computing specializations.. Time: 0:01:21 Points: 201   ⌝ # Computing specializations.. Time: 0:01:21 Points: 203   ⌟ # Computing specializations.. Time: 0:01:22 Points: 204   ⌞ # Computing specializations.. Time: 0:01:23 Points: 206   ⌜ # Computing specializations.. Time: 0:01:23 Points: 208   ⌝ # Computing specializations.. Time: 0:01:24 Points: 209   ⌟ # Computing specializations.. Time: 0:01:24 Points: 211   ⌞ # Computing specializations.. Time: 0:01:25 Points: 212   ⌜ # Computing specializations.. Time: 0:01:26 Points: 213   ⌝ # Computing specializations.. Time: 0:01:26 Points: 214   ⌟ # Computing specializations.. Time: 0:01:27 Points: 215   ⌞ # Computing specializations.. Time: 0:01:27 Points: 217   ⌜ # Computing specializations.. Time: 0:01:28 Points: 218   ⌝ # Computing specializations.. Time: 0:01:28 Points: 219   ⌟ # Computing specializations.. Time: 0:01:29 Points: 220   ⌞ # Computing specializations.. Time: 0:01:30 Points: 222   ⌜ # Computing specializations.. Time: 0:01:30 Points: 223   ⌝ # Computing specializations.. Time: 0:01:30 Points: 224   ⌟ # Computing specializations.. Time: 0:01:31 Points: 225   ⌞ # Computing specializations.. Time: 0:01:31 Points: 227   ⌜ # Computing specializations.. Time: 0:01:32 Points: 228   ⌝ # Computing specializations.. Time: 0:01:33 Points: 230   ⌟ # Computing specializations.. Time: 0:01:33 Points: 231   ⌞ # Computing specializations.. Time: 0:01:34 Points: 233   ⌜ # Computing specializations.. Time: 0:01:34 Points: 234   ⌝ # Computing specializations.. Time: 0:01:35 Points: 236   ⌟ # Computing specializations.. Time: 0:01:35 Points: 237   ⌞ # Computing specializations.. Time: 0:01:36 Points: 238   ⌜ # Computing specializations.. Time: 0:01:37 Points: 240   ⌝ # Computing specializations.. Time: 0:01:37 Points: 242   ⌟ # Computing specializations.. Time: 0:01:38 Points: 243   ⌞ # Computing specializations.. Time: 0:01:39 Points: 245   ⌜ # Computing specializations.. Time: 0:01:39 Points: 247   ⌝ # Computing specializations.. Time: 0:01:40 Points: 248   ⌟ # Computing specializations.. Time: 0:01:40 Points: 250   ⌞ # Computing specializations.. Time: 0:01:41 Points: 251   ⌜ # Computing specializations.. Time: 0:01:41 Points: 252   ⌝ # Computing specializations.. Time: 0:01:42 Points: 253   ⌟ # Computing specializations.. Time: 0:01:42 Points: 254   ⌞ # Computing specializations.. Time: 0:01:43 Points: 256   ⌜ # Computing specializations.. Time: 0:01:43 Points: 257   ⌝ # Computing specializations.. Time: 0:01:44 Points: 259   ⌟ # Computing specializations.. Time: 0:01:44 Points: 260   ⌞ # Computing specializations.. Time: 0:01:45 Points: 261   ⌜ # Computing specializations.. Time: 0:01:46 Points: 263   ⌝ # Computing specializations.. Time: 0:01:47 Points: 265   ⌟ # Computing specializations.. Time: 0:01:47 Points: 266   ⌞ # Computing specializations.. Time: 0:01:48 Points: 268   ⌜ # Computing specializations.. Time: 0:01:49 Points: 270   ⌝ # Computing specializations.. Time: 0:01:49 Points: 272   ⌟ # Computing specializations.. Time: 0:01:50 Points: 274   ⌞ # Computing specializations.. Time: 0:01:51 Points: 276   ⌜ # Computing specializations.. Time: 0:01:52 Points: 277   ⌝ # Computing specializations.. Time: 0:01:52 Points: 279   ⌟ # Computing specializations.. Time: 0:01:53 Points: 281   ⌞ # Computing specializations.. Time: 0:01:53 Points: 282   ⌜ # Computing specializations.. Time: 0:01:54 Points: 283   ⌝ # Computing specializations.. Time: 0:01:54 Points: 284   ⌟ # Computing specializations.. Time: 0:01:55 Points: 286   ⌞ # Computing specializations.. Time: 0:01:56 Points: 287   ⌜ # Computing specializations.. Time: 0:01:56 Points: 289   ⌝ # Computing specializations.. Time: 0:01:57 Points: 290   ⌟ # Computing specializations.. Time: 0:01:57 Points: 291   ⌞ # Computing specializations.. Time: 0:01:58 Points: 292   ⌜ # Computing specializations.. Time: 0:01:59 Points: 294   ⌝ # Computing specializations.. Time: 0:01:59 Points: 296   ⌟ # Computing specializations.. Time: 0:02:00 Points: 298   ⌞ # Computing specializations.. Time: 0:02:01 Points: 300   ⌜ # Computing specializations.. Time: 0:02:02 Points: 302   ⌝ # Computing specializations.. Time: 0:02:02 Points: 303   ⌟ # Computing specializations.. Time: 0:02:03 Points: 305   ⌞ # Computing specializations.. Time: 0:02:03 Points: 306   ⌜ # Computing specializations.. Time: 0:02:04 Points: 308   ⌝ # Computing specializations.. Time: 0:02:05 Points: 309   ⌟ # Computing specializations.. Time: 0:02:05 Points: 311   ⌞ # Computing specializations.. Time: 0:02:06 Points: 312   ⌜ # Computing specializations.. Time: 0:02:06 Points: 314   ⌝ # Computing specializations.. Time: 0:02:07 Points: 315   ⌟ # Computing specializations.. Time: 0:02:07 Points: 317   ⌞ # Computing specializations.. Time: 0:02:08 Points: 319   ✓ # Computing specializations.. Time: 0:02:09 [ Info: Search for polynomial generators concluded in 0.000250577 [ Info: Selecting generators in 0.030976368 [ Info: Inclusion checked with probability 0.995 in 64.193227605 seconds [ Info: The search for identifiable functions concluded in 391.80896832 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 1.518183091 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 1.498997828 seconds [ Info: Dimensions of the Wronskians [279] [ Info: Ranks of the Wronskians computed in 0.009116551 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:04 ⌝ # Computing specializations.. Time: 0:00:05 ✓ # Computing specializations.. Time: 0:00:05 ⌜ # Computing specializations.. Time: 0:00:00 ⌝ # Computing specializations.. Time: 0:00:02 ⌟ # Computing specializations.. Time: 0:00:02 ⌞ # Computing specializations.. Time: 0:00:03 ⌜ # Computing specializations.. Time: 0:00:03 ⌝ # Computing specializations.. Time: 0:00:04 ⌟ # Computing specializations.. Time: 0:00:04 ⌞ # Computing specializations.. Time: 0:00:05 ✓ # Computing specializations.. Time: 0:00:05 ⌜ # Computing specializations.. Time: 0:00:00 Points: 2   ⌝ # Computing specializations.. Time: 0:00:01 Points: 4   ⌟ # Computing specializations.. Time: 0:00:02 Points: 5   ⌞ # Computing specializations.. Time: 0:00:02 Points: 6   ⌜ # Computing specializations.. Time: 0:00:03 Points: 8   ⌝ # Computing specializations.. Time: 0:00:03 Points: 9   ⌟ # Computing specializations.. 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Time: 0:02:19 Points: 316   ⌜ # Computing specializations.. Time: 0:02:20 Points: 317   ⌝ # Computing specializations.. Time: 0:02:20 Points: 318   ⌟ # Computing specializations.. Time: 0:02:21 Points: 320   ✓ # Computing specializations.. Time: 0:02:21 ====================================================================================== 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 24 running 1 of 1 signal (10): User defined signal 1 jl_to_typeof at /source/src/julia.h:1157:12 [inlined] jl_typemap_level_assoc_exact at /source/src/typemap.c:1274:26 jl_typemap_assoc_exact at /source/src/julia_internal.h:1958:16 [inlined] jl_typemap_level_assoc_exact at /source/src/typemap.c:1282:38 jl_typemap_assoc_exact at /source/src/julia_internal.h:1958:16 [inlined] jl_lookup_generic_ at /source/src/gf.c:4758:21 ijl_apply_generic at /source/src/gf.c:4834:35 ir_convert_ir_to_internal at /home/pkgeval/.julia/packages/Groebner/sLuRA/src/input_output/intermediate.jl:273:0 (pc: 243) __normalform1 at /home/pkgeval/.julia/packages/Groebner/sLuRA/src/groebner/normalform.jl:75:0 (pc: 9) unknown function (ip: 0x7c3536a353bf) at (unknown file) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 _normalform1 at /home/pkgeval/.julia/packages/Groebner/sLuRA/src/groebner/normalform.jl:49:0 (pc: 10) unknown function (ip: 0x7c3536a34e02) at (unknown file) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 normalform0 at /home/pkgeval/.julia/packages/Groebner/sLuRA/src/groebner/normalform.jl:16:0 (pc: 13) #normalform#222 at /home/pkgeval/.julia/packages/Groebner/sLuRA/src/interface.jl:601:0 [inlined] normalform at /home/pkgeval/.julia/packages/Groebner/sLuRA/src/interface.jl:599:0 (pc: 2) unknown function (ip: 0x7c3536a34026) at (unknown file) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 field_contains_algebraic_mod_p at /home/pkgeval/.julia/packages/RationalFunctionFields/RufEO/src/Field.jl:237:0 (pc: 22) issubfield_mod_p at /home/pkgeval/.julia/packages/RationalFunctionFields/RufEO/src/Field.jl:292:0 (pc: 106) issubfield_mod_p at /home/pkgeval/.julia/packages/RationalFunctionFields/RufEO/src/Field.jl:289:0 [inlined] #groebner_basis_coeffs#135 at /home/pkgeval/.julia/packages/RationalFunctionFields/RufEO/src/simplification.jl:148:0 (pc: 761) groebner_basis_coeffs at /home/pkgeval/.julia/packages/RationalFunctionFields/RufEO/src/simplification.jl:148:0 (pc: 11) unknown function (ip: 0x7c3582600091) at (unknown file) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 #simplified_generating_set#137 at /home/pkgeval/.julia/packages/RationalFunctionFields/RufEO/src/simplification.jl:357:0 (pc: 181) simplified_generating_set at /home/pkgeval/.julia/packages/RationalFunctionFields/RufEO/src/simplification.jl:357:0 (pc: 23) unknown function (ip: 0x7c358277e764) at (unknown file) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 #_find_identifiable_functions#260 at /home/pkgeval/.julia/packages/StructuralIdentifiability/Sd6RX/src/identifiable_functions.jl:128:0 (pc: 63) _find_identifiable_functions at /home/pkgeval/.julia/packages/StructuralIdentifiability/Sd6RX/src/identifiable_functions.jl:92:0 [inlined] #258 at /home/pkgeval/.julia/packages/StructuralIdentifiability/Sd6RX/src/identifiable_functions.jl:67:0 (pc: 13) with_logstate at ./logging/logging.jl:542:0 (pc: 47) with_logger at ./logging/logging.jl:653:0 [inlined] #find_identifiable_functions#256 at /home/pkgeval/.julia/packages/StructuralIdentifiability/Sd6RX/src/identifiable_functions.jl:65:0 [inlined] find_identifiable_functions at /home/pkgeval/.julia/packages/StructuralIdentifiability/Sd6RX/src/identifiable_functions.jl:52:0 (pc: 30) unknown function (ip: 0x7c353589d9f0) at (unknown file) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 jl_apply at /source/src/julia.h:2533:12 [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:735:35 eval_body at /source/src/interpreter.c:704:21 eval_body at /source/src/interpreter.c:712:21 eval_body at /source/src/interpreter.c:712:21 eval_body at /source/src/interpreter.c:712:21 jl_interpret_toplevel_thunk at /source/src/interpreter.c:1052:21 ijl_eval_thunk at /source/src/toplevel.c:772:18 jl_toplevel_eval_flex at /source/src/toplevel.c:716:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:601:15 jl_toplevel_eval_flex at /source/src/toplevel.c:688:27 ijl_toplevel_eval at /source/src/toplevel.c:786:12 ijl_toplevel_eval_in at /source/src/toplevel.c:831:13 eval at ./boot.jl:618:0 (pc: 1) include_string at ./loading.jl:3258:0 (pc: 140) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 _include at ./loading.jl:3320:0 (pc: 123) include at ./Base.jl:335:0 (pc: 1) IncludeInto at ./Base.jl:336:0 (pc: 2) jfptr_IncludeInto_1.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 jl_apply at /source/src/julia.h:2533:12 [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:829:21 eval_body at /source/src/interpreter.c:704:21 eval_body at /source/src/interpreter.c:712:21 eval_body at /source/src/interpreter.c:712:21 eval_body at /source/src/interpreter.c:712:21 jl_interpret_toplevel_thunk at /source/src/interpreter.c:1052:21 ijl_eval_thunk at /source/src/toplevel.c:772:18 jl_toplevel_eval_flex at /source/src/toplevel.c:716:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:601:15 jl_eval_module_expr at /source/src/toplevel.c:266:5 [inlined] jl_toplevel_eval_flex at /source/src/toplevel.c:669:27 ijl_toplevel_eval at /source/src/toplevel.c:786:12 ijl_toplevel_eval_in at /source/src/toplevel.c:831:13 eval at ./boot.jl:618:0 (pc: 1) jfptr_eval_0.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 jl_apply at /source/src/julia.h:2533:12 [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:829:21 jl_interpret_toplevel_thunk at /source/src/interpreter.c:1052:21 ijl_eval_thunk at /source/src/toplevel.c:772:18 jl_toplevel_eval_flex at /source/src/toplevel.c:716:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:601:15 jl_toplevel_eval_flex at /source/src/toplevel.c:688:27 ijl_toplevel_eval at /source/src/toplevel.c:786:12 ijl_toplevel_eval_in at /source/src/toplevel.c:831:13 eval at ./boot.jl:618:0 (pc: 1) include_string at ./loading.jl:3258:0 (pc: 140) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 _include at ./loading.jl:3320:0 (pc: 123) include at ./Base.jl:335:0 (pc: 1) IncludeInto at ./Base.jl:336:0 (pc: 2) jfptr_IncludeInto_1.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 jl_apply at /source/src/julia.h:2533:12 [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:829:21 eval_body at /source/src/interpreter.c:704:21 eval_body at /source/src/interpreter.c:712:21 eval_body at /source/src/interpreter.c:712:21 eval_body at /source/src/interpreter.c:712:21 jl_interpret_toplevel_thunk at /source/src/interpreter.c:1052:21 ijl_eval_thunk at /source/src/toplevel.c:772:18 jl_toplevel_eval_flex at /source/src/toplevel.c:716:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:601:15 jl_eval_module_expr at /source/src/toplevel.c:266:5 [inlined] jl_toplevel_eval_flex at /source/src/toplevel.c:669:27 ijl_toplevel_eval at /source/src/toplevel.c:786:12 ijl_toplevel_eval_in at /source/src/toplevel.c:831:13 eval at ./boot.jl:618:0 (pc: 1) jfptr_eval_0.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 jl_apply at /source/src/julia.h:2533:12 [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:829:21 jl_interpret_toplevel_thunk at /source/src/interpreter.c:1052:21 ijl_eval_thunk at /source/src/toplevel.c:772:18 jl_toplevel_eval_flex at /source/src/toplevel.c:716:26 ijl_toplevel_eval at /source/src/toplevel.c:786:12 ijl_toplevel_eval_in at /source/src/toplevel.c:831:13 eval at ./boot.jl:618:0 (pc: 1) #_run_body#48 at /home/pkgeval/.julia/packages/SciMLTesting/wvTmj/src/SciMLTesting.jl:1896:0 (pc: 7) _run_body at /home/pkgeval/.julia/packages/SciMLTesting/wvTmj/src/SciMLTesting.jl:1880:0 [inlined] _run_core_folder at /home/pkgeval/.julia/packages/SciMLTesting/wvTmj/src/SciMLTesting.jl:1958:0 (pc: 50) _run_folder_group at /home/pkgeval/.julia/packages/SciMLTesting/wvTmj/src/SciMLTesting.jl:1998:0 (pc: 3) #run_tests#49 at /home/pkgeval/.julia/packages/SciMLTesting/wvTmj/src/SciMLTesting.jl:2308:0 (pc: 19) run_tests at /home/pkgeval/.julia/packages/SciMLTesting/wvTmj/src/SciMLTesting.jl:2283:0 (pc: 9) unknown function (ip: 0x7c357a29948f) at (unknown file) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 jl_apply at /source/src/julia.h:2533:12 [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:829:21 jl_interpret_toplevel_thunk at /source/src/interpreter.c:1052:21 ijl_eval_thunk at /source/src/toplevel.c:772:18 jl_toplevel_eval_flex at /source/src/toplevel.c:716:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:601:15 jl_toplevel_eval_flex at /source/src/toplevel.c:688:27 ijl_toplevel_eval at /source/src/toplevel.c:786:12 ijl_toplevel_eval_in at /source/src/toplevel.c:831:13 eval at ./boot.jl:618:0 (pc: 1) include_string at ./loading.jl:3258:0 (pc: 140) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 _include at ./loading.jl:3320:0 (pc: 123) include at ./Base.jl:335:0 (pc: 1) IncludeInto at ./Base.jl:336:0 (pc: 2) jfptr_IncludeInto_1.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 jl_apply at /source/src/julia.h:2533:12 [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:829:21 jl_interpret_toplevel_thunk at /source/src/interpreter.c:1052:21 ijl_eval_thunk at /source/src/toplevel.c:772:18 jl_toplevel_eval_flex at /source/src/toplevel.c:716:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:601:15 jl_toplevel_eval_flex at /source/src/toplevel.c:688:27 ijl_toplevel_eval at /source/src/toplevel.c:786:12 ijl_toplevel_eval_in at /source/src/toplevel.c:831:13 eval at ./boot.jl:618:0 (pc: 1) __script_entry_eval at ./client.jl:106:0 [inlined] exec_options at ./client.jl:350:0 (pc: 426) _start at ./client.jl:695:0 (pc: 217) jfptr__start_0.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 jl_apply at /source/src/julia.h:2533:12 [inlined] true_main at /source/src/jlapi.c:989:29 jl_repl_entrypoint at /source/src/jlapi.c:1156:15 main at /source/cli/loader_exe.c:117:15 unknown function (ip: 0x7c35a057a249) 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 ============================================================== [ Info: Search for polynomial generators concluded in 0.000297917 [ Info: Selecting generators in 0.025943158 ====================================================================================== 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:573:34 wait at ./task.jl:1652:0 (pc: 108) wait_forever at ./task.jl:1528:0 (pc: 4) jfptr_wait_forever_0.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 jl_apply at /source/src/julia.h:2533:12 [inlined] start_task at /source/src/task.c:1278:23 unknown function (ip: (nil)) at (unknown file) ============================================================== Profile collected. A report will print at the next yield point. Disabling --trace-compile ============================================================== Overhead ╎ [+additional indent] Count File:Line Function ========================================================= Thread 1 (default) Task 0x000076f9e56cba90 Total snapshots: 163. Utilization: 0% ╎163 @Base/task.jl:1528 wait_forever() 162╎ 163 @Base/task.jl:? wait() Overhead ╎ [+additional indent] Count File:Line Function ========================================================= Thread 1 (default) Task 0x00007c3583ffc010 Total snapshots: 234. Utilization: 100% ╎234 @Base/client.jl:695 _start() ╎ 234 @Base/client.jl:350 exec_options(opts::Base.JLOptions) ╎ 234 @Base/client.jl:106 __script_entry_eval(mod::Module, ex::Any) ╎ 234 @Base/boot.jl:618 eval(m::Module, e::Any) ╎ 234 @Base/Base.jl:336 (::Base.IncludeInto)(fname::String) ╎ 234 @Base/Base.jl:335 include(mapexpr::Function, mod::Module, _path::S… ╎ ╎ 234 @Base/loading.jl:3320 _include(mapexpr::Function, mod::Module, _p… ╎ ╎ 234 @Base/loading.jl:3258 include_string(mapexpr::typeof(identity), … ╎ ╎ 234 @Base/boot.jl:618 eval(m::Module, e::Any) ╎ ╎ 234 @SciMLTesting/…ng.jl:2283 run_tests() ╎ ╎ 234 @SciMLTesting/…g.jl:2308 run_tests(; core::SciMLTesting._Unse… ╎ ╎ ╎ 234 @SciMLTesting/…g.jl:1998 _run_folder_group(group::String, te… ╎ ╎ ╎ 234 @SciMLTesting/….jl:1958 _run_core_folder(test_dir::String) ╎ ╎ ╎ 234 @SciMLTesting/….jl:1880 kwcall(::@NamedTuple{label::String… ╎ ╎ ╎ 234 @SciMLTesting/….jl:1896 _run_body(body::String; label::St… ╎ ╎ ╎ 234 @Base/boot.jl:618 eval(m::Module, e::Any) ╎ ╎ ╎ ╎ 234 @Base/boot.jl:618 eval(m::Module, e::Any) ╎ ╎ ╎ ╎ 234 @Base/Base.jl:336 (::Base.IncludeInto)(fname::String) ╎ ╎ ╎ ╎ 234 @Base/Base.jl:335 include(mapexpr::Function, mod::Mod… ╎ ╎ ╎ ╎ 234 @Base/loading.jl:3320 _include(mapexpr::Function, mo… ╎ ╎ ╎ ╎ 234 @Base/…ading.jl:3258 include_string(mapexpr::typeof… ╎ ╎ ╎ ╎ ╎ 234 @Base/boot.jl:618 eval(m::Module, e::Any) ╎ ╎ ╎ ╎ ╎ 234 @Base/boot.jl:618 eval(m::Module, e::Any) ╎ ╎ ╎ ╎ ╎ 234 @Base/Base.jl:336 (::Base.IncludeInto)(fname::St… ╎ ╎ ╎ ╎ ╎ 234 @Base/Base.jl:335 include(mapexpr::Function, mo… ╎ ╎ ╎ ╎ ╎ 234 @Base/…ing.jl:3320 _include(mapexpr::Function,… ╎ ╎ ╎ ╎ ╎ ╎ 234 @Base/…ing.jl:3258 include_string(mapexpr::ty… ╎ ╎ ╎ ╎ ╎ ╎ 234 @Base/boot.jl:618 eval(m::Module, e::Any) ╎ ╎ ╎ ╎ ╎ ╎ 234 @StructuralIdentifiability/…:52 kwcall(::@N… ╎ ╎ ╎ ╎ ╎ ╎ 234 @StructuralIdentifiability/…:65 find_ident… ╎ ╎ ╎ ╎ ╎ ╎ 234 @Base/…ng.jl:653 with_logger(f::Structura… ╎ ╎ ╎ ╎ ╎ ╎ ╎ 234 @Base/…ng.jl:542 with_logstate(f::Struct… ╎ ╎ ╎ ╎ ╎ ╎ ╎ 234 @StructuralIdentifiability/…:67 (::Stru… ╎ ╎ ╎ ╎ ╎ ╎ ╎ 234 @StructuralIdentifiability/…:92 kwcall… ╎ ╎ ╎ ╎ ╎ ╎ ╎ 234 @StructuralIdentifiability/…:128 _fin… ╎ ╎ ╎ ╎ ╎ ╎ ╎ 234 @RationalFunctionFields/…:357 kwcall… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ 234 @RationalFunctionFields/…:357 simpl… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ 234 @RationalFunctionFields/…:148 kwca… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ 234 @RationalFunctionFields/…:148 gro… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ 234 @RationalFunctionFields/…:289 is… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ 234 @RationalFunctionFields/…:292 i… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +1 234 @RationalFunctionFields/…:237 f… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +2 234 @Groebner/…l:599 normalform(bas… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +3 234 @Groebner/…l:601 normalform(bas… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +4 234 @Groebner/…l:16 normalform0(pol… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +5 234 @Groebner/…l:49 _normalform1(ri… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +6 1 @Groebner/…l:75 __normalform1(r… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +7 1 @Groebner/…l:273 ir_convert_ir_… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +6 233 @Groebner/…l:77 __normalform1(r… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +7 233 @Groebner/…l:117 normalform2(ri… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +8 42 @Groebner/…l:137 _normalform2(r… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 42 @Groebner/…l:157 basis_initiali… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 1 @Groebner/…l:602 basis_fill_dat… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Groebner/…l:235 hashtable_resi… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Base/…ay.jl:1574 resize!(a::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/…ay.jl:1239 _growend!(a::… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/…ay.jl:1219 _growend_inte… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/…ry.jl:207 unsafe_copyto!… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 1 @Base/…em.jl:28 memmove(dst::Pt… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 3 @Groebner/…l:606 basis_fill_dat… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 3 @Base/…ot.jl:816 Vector{Int32}(… 3╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 3 @Base/…ot.jl:756 Memory{Int32}(… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 38 @Groebner/…l:609 basis_fill_dat… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 13 @Groebner/…l:283 hashtable_inse… 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 2 @Groebner/…l:214 monom_hash(x::… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 3 @Groebner/…l:216 monom_hash(x::… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 3 none:0 _packed_vec_dot(a::UInt6… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 3 none:125 macro expansion ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/…ls.jl:1065 getindex(A::V… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 1 @Base/…ls.jl:391 checkbounds(A:… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +17 1 @Base/…ls.jl:387 checkbounds(::… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +18 1 @Base/…ls.jl:1286 length(a::Vec… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/int.jl:88 *(x::UInt32, y:… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/int.jl:682 mod(x::UInt64,… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 1 @Base/int.jl:603 rem(x::UInt64,… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 8 @Groebner/…l:218 monom_hash(x::… 5╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 5 @Base/int.jl:87 +(x::UInt32, y:… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 2 none:0 _packed_vec_dot(a::UInt6… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 2 none:125 macro expansion ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 2 @Base/…ot.jl:1187 UInt32(x::UIn… 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 2 @Base/…ot.jl:1149 toUInt32(x::U… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/…ay.jl:226 view(A::Vector… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/…ay.jl:259 unsafe_view(A:… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/…ay.jl:28 SubArray(parent… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 1 @Base/…al.jl:919 ensure_indexab… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 7 @Groebner/…l:288 hashtable_inse… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 7 @Base/…ay.jl:1369 getindex(::Ve… 7╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 7 @Base/…ls.jl:1066 getindex(A::V… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 4 @Groebner/…l:291 hashtable_inse… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Groebner/…l:273 hashtable_is_h… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 3 @Groebner/…l:274 hashtable_is_h… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Groebner/…l:638 monom_is_equal… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 2 @Base/…ay.jl:1369 getindex(::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 2 @Base/…ls.jl:1065 getindex(A::V… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 2 @Base/…ls.jl:391 checkbounds(A:… 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 2 @Base/…ls.jl:387 checkbounds(::… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Groebner/…l:305 hashtable_inse… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Groebner/…l:273 hashtable_is_h… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 11 @Groebner/…l:321 hashtable_inse… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Groebner/…l:0 monom_create_div… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Groebner/…l:760 monom_create_d… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/…ay.jl:1369 getindex(::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/…es.jl:366 to_indices(A::… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/…es.jl:369 to_indices(A::… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 1 @Base/…es.jl:293 to_index(A::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +17 1 @Base/…es.jl:308 to_index(i::UI… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +18 1 @Base/…er.jl:7 convert(::Core.T… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +19 1 @Base/…ot.jl:1183 Int64(x::UInt… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +20 1 @Base/…ot.jl:1107 toInt64(x::UI… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Groebner/…l:763 monom_create_d… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/int.jl:87 +(x::UInt32, y:… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 4 @Groebner/…l:769 monom_create_d… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 4 @Base/int.jl:682 mod(x::UInt64,… 4╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 4 @Base/int.jl:603 rem(x::UInt64,… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 2 @Groebner/…l:772 monom_create_d… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 2 @Base/…ay.jl:1369 getindex(::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 2 @Base/…ls.jl:1065 getindex(A::V… 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 2 @Base/…ls.jl:391 checkbounds(A:… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Groebner/…l:776 monom_create_d… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Groebner/…l:784 monom_create_d… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/…ay.jl:1369 getindex(::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/…ls.jl:1065 getindex(A::V… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/…ls.jl:391 checkbounds(A:… 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 2 @Base/…ls.jl:1066 getindex(A::V… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +8 191 @Groebner/…l:138 _normalform2(r… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 25 @Groebner/…l:487 f4_normalform!… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 25 @Groebner/…l:192 f4_select_tobe… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 2 @Groebner/…l:304 matrix_polynom… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 2 @Groebner/…l:235 hashtable_resi… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 2 @Base/…ay.jl:1574 resize!(a::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 2 @Base/…ay.jl:1239 _growend!(a::… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 2 @Base/…ay.jl:1215 _growend_inte… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 2 @Base/…ay.jl:1135 array_new_mem… 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +17 2 @Base/…ot.jl:756 Memory{Int32}(… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 23 @Groebner/…l:306 matrix_polynom… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 3 @Groebner/…l:486 hashtable_inse… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 2 @Groebner/…l:505 monom_product!… 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 2 @Base/int.jl:87 +(x::UInt64, y:… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Groebner/…l:509 monom_product!… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Groebner/…l:37 monom_overflow_… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Groebner/…l:27 monom_overflow_… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Groebner/…l:489 hashtable_inse… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/int.jl:87 +(x::UInt32, y:… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Groebner/…l:491 hashtable_inse… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Groebner/…l:269 hashtable_next… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/int.jl:406 &(x::UInt32, y… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 6 @Groebner/…l:492 hashtable_inse… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 6 @Base/…ay.jl:1369 getindex(::Ve… 6╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 6 @Base/…ls.jl:1066 getindex(A::V… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Groebner/…l:495 hashtable_inse… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Groebner/…l:273 hashtable_is_h… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Groebner/…l:497 hashtable_inse… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/…ay.jl:1054 setindex!(A::… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/…ay.jl:1058 _setindex!(A:… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/…ls.jl:391 checkbounds(A:… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 3 @Groebner/…l:511 hashtable_inse… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Groebner/…l:273 hashtable_is_h… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 2 @Groebner/…l:274 hashtable_is_h… 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 2 @Groebner/…l:638 monom_is_equal… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Groebner/…l:527 hashtable_inse… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/…al.jl:774 setindex!(::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/…ay.jl:1054 setindex!(A::… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/…ay.jl:1059 _setindex!(A:… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 6 @Groebner/…l:529 hashtable_inse… 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 2 @Groebner/…l:0 monom_create_div… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Groebner/…l:757 monom_create_d… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/int.jl:682 mod(x::UInt64,… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/int.jl:603 rem(x::UInt64,… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 2 @Groebner/…l:769 monom_create_d… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 2 @Base/int.jl:682 mod(x::UInt64,… 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 2 @Base/int.jl:603 rem(x::UInt64,… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Groebner/…l:772 monom_create_d… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/…ay.jl:1369 getindex(::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/…ls.jl:1065 getindex(A::V… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 1 @Base/…ls.jl:391 checkbounds(A:… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 166 @Groebner/…l:488 f4_normalform!… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 166 @Groebner/…l:84 f4_symbolic_pre… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Groebner/…l:237 f4_find_multip… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 2 @Groebner/…l:244 f4_find_multip… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 2 @Base/…ay.jl:1369 getindex(::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/…ls.jl:1065 getindex(A::V… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/…ls.jl:391 checkbounds(A:… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/…ls.jl:387 checkbounds(::… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/…ls.jl:1066 getindex(A::V… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Groebner/…l:246 f4_find_multip… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Base/…er.jl:58 getproperty(x::… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Groebner/…l:253 f4_find_multip… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Groebner/…l:0 f4_find_lead_div… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 2 @Groebner/…l:277 f4_find_multip… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Groebner/…l:239 hashtable_resi… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/…ay.jl:1574 resize!(a::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/…ay.jl:1239 _growend!(a::… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/…ay.jl:1219 _growend_inte… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 1 @Base/…ry.jl:207 unsafe_copyto!… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +17 1 @Base/…em.jl:28 memmove(dst::Pt… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Groebner/…l:259 hashtable_resi… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/…ge.jl:939 iterate(r::Uni… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/…on.jl:664 ==(x::UInt32, … ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 132 @Groebner/…l:278 f4_find_multip… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 5 @Groebner/…l:303 matrix_polynom… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 5 @Base/…ay.jl:413 similar(a::Vec… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 2 @Base/…ot.jl:816 Vector{Int32}(… 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 2 @Base/…ot.jl:756 Memory{Int32}(… 3╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 3 @Base/…ot.jl:817 Vector{Int32}(… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 85 @Groebner/…l:304 matrix_polynom… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Groebner/…l:226 hashtable_resi… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Groebner/…l:69 hashtable_needs… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/…rs.jl:440 >(x::Float64, … 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 1 @Base/…at.jl:613 <(x::Float64, … ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 83 @Groebner/…l:240 hashtable_resi… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 83 @Base/…ay.jl:1574 resize!(a::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 83 @Base/…ay.jl:1239 _growend!(a::… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 83 @Base/…ay.jl:1215 _growend_inte… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +17 83 @Base/…ay.jl:1135 array_new_mem… 80╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +18 83 @Base/…ot.jl:756 Memory{Int32}(… 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +19 2 @Nemo/…es.jl:5214 _fmpq_clear_f… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +19 1 @Nemo/…es.jl:5382 _nmod_mpoly_c… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Groebner/…l:256 hashtable_resi… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 42 @Groebner/…l:306 matrix_polynom… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Groebner/…l:484 hashtable_inse… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Groebner/…l:485 hashtable_inse… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/…ay.jl:1369 getindex(::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/…ls.jl:1065 getindex(A::V… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 1 @Base/…ls.jl:391 checkbounds(A:… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +17 1 @Base/…ls.jl:387 checkbounds(::… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 25 @Groebner/…l:492 hashtable_inse… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 25 @Base/…ay.jl:1369 getindex(::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/…ls.jl:1065 getindex(A::V… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 1 @Base/…ls.jl:391 checkbounds(A:… 24╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 24 @Base/…ls.jl:1066 getindex(A::V… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 3 @Groebner/…l:495 hashtable_inse… 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 2 @Groebner/…l:273 hashtable_is_h… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Groebner/…l:511 hashtable_inse… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Groebner/…l:274 hashtable_is_h… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Groebner/…l:638 monom_is_equal… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Groebner/…l:525 hashtable_inse… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/int.jl:603 rem(x::Int64, … ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 10 @Groebner/…l:529 hashtable_inse… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Groebner/…l:0 monom_create_div… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 2 @Groebner/…l:757 monom_create_d… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 2 @Base/int.jl:682 mod(x::UInt64,… 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 2 @Base/int.jl:603 rem(x::UInt64,… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Groebner/…l:760 monom_create_d… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/…ay.jl:1369 getindex(::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 1 @Base/…ls.jl:1065 getindex(A::V… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +17 1 @Base/…ls.jl:391 checkbounds(A:… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 3 @Groebner/…l:769 monom_create_d… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 3 @Base/int.jl:682 mod(x::UInt64,… 3╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 3 @Base/int.jl:603 rem(x::UInt64,… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 2 @Groebner/…l:772 monom_create_d… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/…ay.jl:1369 getindex(::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 1 @Base/…ls.jl:1065 getindex(A::V… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +17 1 @Base/…ls.jl:391 checkbounds(A:… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Groebner/…l:777 monom_create_d… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/…ge.jl:939 iterate(r::Uni… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 25 @Groebner/…l:287 f4_find_multip… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 2 @Groebner/…l:283 hashtable_inse… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Groebner/…l:216 monom_hash(x::… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 none:0 _packed_vec_dot(a::UInt6… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 none:125 macro expansion ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 1 @Base/…ot.jl:1187 UInt32(x::UIn… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +17 1 @Base/…ot.jl:1149 toUInt32(x::U… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/…er.jl:58 getproperty(x::… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 13 @Groebner/…l:288 hashtable_inse… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 13 @Base/…ay.jl:1369 getindex(::Ve… 13╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 13 @Base/…ls.jl:1066 getindex(A::V… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 5 @Groebner/…l:291 hashtable_inse… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Groebner/…l:273 hashtable_is_h… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 3 @Groebner/…l:274 hashtable_is_h… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 3 @Groebner/…l:638 monom_is_equal… 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 2 @Base/…on.jl:664 ==(x::UInt64, … ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 5 @Groebner/…l:321 hashtable_inse… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Groebner/…l:0 monom_create_div… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 2 @Groebner/…l:757 monom_create_d… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 2 @Base/int.jl:682 mod(x::UInt64,… 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 2 @Base/int.jl:603 rem(x::UInt64,… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Groebner/…l:760 monom_create_d… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/…ay.jl:1369 getindex(::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/…ls.jl:1065 getindex(A::V… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 1 @Base/…ls.jl:391 checkbounds(A:… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Groebner/…l:769 monom_create_d… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/int.jl:682 mod(x::UInt64,… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/int.jl:603 rem(x::UInt64,… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Base/…er.jl:62 setproperty!(x:… [ Info: Inclusion checked with probability 0.995 in 84.109840767 seconds [ Info: The search for identifiable functions concluded in 451.349705789 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 [1] signal 15: Terminated in expression starting at /PkgEval.jl/scripts/evaluate.jl:214 epoll_pwait at /lib/x86_64-linux-gnu/libc.so.6 (unknown line) uv__io_poll at /workspace/srcdir/libuv/src/unix/linux.c:1404:0 uv_run at /workspace/srcdir/libuv/src/unix/core.c:430:0 ijl_task_get_next at /source/src/scheduler.c:573:34 wait at ./task.jl:1652:0 (pc: 108) [24] signal 15: Terminated in expression starting at /home/pkgeval/.julia/packages/StructuralIdentifiability/Sd6RX/test/bodies/identifiable_functions.jl:1151 _fmpz_mpoly_mul_johnson at /workspace/srcdir/flint-3.6.0/src/fmpz_mpoly/mul_johnson.c:426:15 _fmpz_mpoly_mul_johnson_maxfields at /workspace/srcdir/flint-3.6.0/src/fmpz_mpoly/mul_johnson.c:550:20 fmpz_mpoly_mul at /workspace/srcdir/flint-3.6.0/src/fmpz_mpoly/mul.c:358:9 mul! at /home/pkgeval/.julia/packages/Nemo/1ce8i/src/flint/fmpq_mpoly.jl:654:0 [inlined] * at /home/pkgeval/.julia/packages/Nemo/1ce8i/src/flint/fmpq_mpoly.jl:268:0 (pc: 27) wait_safe_interrupt at ./park.jl:231:0 (pc: 6) * at ./operators.jl:668:0 [inlined] det_minor_expansion_inner at /home/pkgeval/.julia/packages/StructuralIdentifiability/Sd6RX/src/elimination.jl:24:0 (pc: 563) det_minor_expansion at /home/pkgeval/.julia/packages/StructuralIdentifiability/Sd6RX/src/elimination.jl:43:0 (pc: 7) eliminate_var at /home/pkgeval/.julia/packages/StructuralIdentifiability/Sd6RX/src/elimination.jl:304:0 (pc: 1448) unknown function (ip: 0x7c3582bbb5a2) at (unknown file) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 find_ioprojections at /home/pkgeval/.julia/packages/StructuralIdentifiability/Sd6RX/src/io_equation.jl:109:0 #_find_ioequations#203 at /home/pkgeval/.julia/packages/StructuralIdentifiability/Sd6RX/src/io_equation.jl:359:0 (pc: 82) _find_ioequations at /home/pkgeval/.julia/packages/StructuralIdentifiability/Sd6RX/src/io_equation.jl:359:0 [inlined] #initial_identifiable_functions#224 at /home/pkgeval/.julia/packages/StructuralIdentifiability/Sd6RX/src/global_identifiability.jl:87:0 (pc: 45) initial_identifiable_functions at /home/pkgeval/.julia/packages/StructuralIdentifiability/Sd6RX/src/global_identifiability.jl:87:0 [inlined] #_find_identifiable_functions#260 at /home/pkgeval/.julia/packages/StructuralIdentifiability/Sd6RX/src/identifiable_functions.jl:115:0 (pc: 45) _find_identifiable_functions at /home/pkgeval/.julia/packages/StructuralIdentifiability/Sd6RX/src/identifiable_functions.jl:92:0 [inlined] #258 at /home/pkgeval/.julia/packages/StructuralIdentifiability/Sd6RX/src/identifiable_functions.jl:67:0 (pc: 13) with_logstate at ./logging/logging.jl:542:0 (pc: 47) with_logger at ./logging/logging.jl:653:0 [inlined] #find_identifiable_functions#256 at /home/pkgeval/.julia/packages/StructuralIdentifiability/Sd6RX/src/identifiable_functions.jl:65:0 [inlined] find_identifiable_functions at /home/pkgeval/.julia/packages/StructuralIdentifiability/Sd6RX/src/identifiable_functions.jl:52:0 (pc: 30) unknown function (ip: 0x7c353589d9f0) at (unknown file) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 jl_apply at /source/src/julia.h:2533:12 [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:735:35 eval_body at /source/src/interpreter.c:704:21 eval_body at /source/src/interpreter.c:712:21 eval_body at /source/src/interpreter.c:712:21 eval_body at /source/src/interpreter.c:712:21 jl_interpret_toplevel_thunk at /source/src/interpreter.c:1052:21 #wait#428 at ./condition.jl:390:0 (pc: 117) ijl_eval_thunk at /source/src/toplevel.c:772:18 jl_toplevel_eval_flex at /source/src/toplevel.c:716:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:601:15 jl_toplevel_eval_flex at /source/src/toplevel.c:688:27 ijl_toplevel_eval at /source/src/toplevel.c:786:12 ijl_toplevel_eval_in at /source/src/toplevel.c:831:13 eval at ./boot.jl:618:0 (pc: 1) include_string at ./loading.jl:3258:0 (pc: 140) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 _include at ./loading.jl:3320:0 (pc: 123) include at ./Base.jl:335:0 (pc: 1) IncludeInto at ./Base.jl:336:0 (pc: 2) jfptr_IncludeInto_1.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 jl_apply at /source/src/julia.h:2533:12 [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:829:21 eval_body at /source/src/interpreter.c:704:21 eval_body at /source/src/interpreter.c:712:21 eval_body at /source/src/interpreter.c:712:21 eval_body at /source/src/interpreter.c:712:21 jl_interpret_toplevel_thunk at /source/src/interpreter.c:1052:21 ijl_eval_thunk at /source/src/toplevel.c:772:18 jl_toplevel_eval_flex at /source/src/toplevel.c:716:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:601:15 jl_eval_module_expr at /source/src/toplevel.c:266:5 [inlined] jl_toplevel_eval_flex at /source/src/toplevel.c:669:27 ijl_toplevel_eval at /source/src/toplevel.c:786:12 ijl_toplevel_eval_in at /source/src/toplevel.c:831:13 eval at ./boot.jl:618:0 (pc: 1) jfptr_eval_0.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 jl_apply at /source/src/julia.h:2533:12 [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:829:21 jl_interpret_toplevel_thunk at /source/src/interpreter.c:1052:21 ijl_eval_thunk at /source/src/toplevel.c:772:18 jl_toplevel_eval_flex at /source/src/toplevel.c:716:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:601:15 jl_toplevel_eval_flex at /source/src/toplevel.c:688:27 ijl_toplevel_eval at /source/src/toplevel.c:786:12 ijl_toplevel_eval_in at /source/src/toplevel.c:831:13 eval at ./boot.jl:618:0 (pc: 1) include_string at ./loading.jl:3258:0 (pc: 140) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 _include at ./loading.jl:3320:0 (pc: 123) include at ./Base.jl:335:0 (pc: 1) IncludeInto at ./Base.jl:336:0 (pc: 2) jfptr_IncludeInto_1.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 jl_apply at /source/src/julia.h:2533:12 [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:829:21 eval_body at /source/src/interpreter.c:704:21 eval_body at /source/src/interpreter.c:712:21 eval_body at /source/src/interpreter.c:712:21 eval_body at /source/src/interpreter.c:712:21 jl_interpret_toplevel_thunk at /source/src/interpreter.c:1052:21 ijl_eval_thunk at /source/src/toplevel.c:772:18 jl_toplevel_eval_flex at /source/src/toplevel.c:716:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:601:15 jl_eval_module_expr at /source/src/toplevel.c:266:5 [inlined] jl_toplevel_eval_flex at /source/src/toplevel.c:669:27 ijl_toplevel_eval at /source/src/toplevel.c:786:12 ijl_toplevel_eval_in at /source/src/toplevel.c:831:13 eval at ./boot.jl:618:0 (pc: 1) jfptr_eval_0.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 jl_apply at /source/src/julia.h:2533:12 [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:829:21 jl_interpret_toplevel_thunk at /source/src/interpreter.c:1052:21 ijl_eval_thunk at /source/src/toplevel.c:772:18 jl_toplevel_eval_flex at /source/src/toplevel.c:716:26 ijl_toplevel_eval at /source/src/toplevel.c:786:12 ijl_toplevel_eval_in at /source/src/toplevel.c:831:13 eval at ./boot.jl:618:0 (pc: 1) #_run_body#48 at /home/pkgeval/.julia/packages/SciMLTesting/wvTmj/src/SciMLTesting.jl:1896:0 (pc: 7) _run_body at /home/pkgeval/.julia/packages/SciMLTesting/wvTmj/src/SciMLTesting.jl:1880:0 [inlined] _run_core_folder at /home/pkgeval/.julia/packages/SciMLTesting/wvTmj/src/SciMLTesting.jl:1958:0 (pc: 50) _run_folder_group at /home/pkgeval/.julia/packages/SciMLTesting/wvTmj/src/SciMLTesting.jl:1998:0 (pc: 3) #run_tests#49 at /home/pkgeval/.julia/packages/SciMLTesting/wvTmj/src/SciMLTesting.jl:2308:0 (pc: 19) run_tests at /home/pkgeval/.julia/packages/SciMLTesting/wvTmj/src/SciMLTesting.jl:2283:0 (pc: 9) unknown function (ip: 0x7c357a29948f) at (unknown file) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 jl_apply at /source/src/julia.h:2533:12 [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:829:21 jl_interpret_toplevel_thunk at /source/src/interpreter.c:1052:21 ijl_eval_thunk at /source/src/toplevel.c:772:18 jl_toplevel_eval_flex at /source/src/toplevel.c:716:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:601:15 jl_toplevel_eval_flex at /source/src/toplevel.c:688:27 ijl_toplevel_eval at /source/src/toplevel.c:786:12 ijl_toplevel_eval_in at /source/src/toplevel.c:831:13 eval at ./boot.jl:618:0 (pc: 1) include_string at ./loading.jl:3258:0 (pc: 140) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 _include at ./loading.jl:3320:0 (pc: 123) include at ./Base.jl:335:0 (pc: 1) IncludeInto at ./Base.jl:336:0 (pc: 2) jfptr_IncludeInto_1.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 jl_apply at /source/src/julia.h:2533:12 [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:829:21 jl_interpret_toplevel_thunk at /source/src/interpreter.c:1052:21 ijl_eval_thunk at /source/src/toplevel.c:772:18 jl_toplevel_eval_flex at /source/src/toplevel.c:716:26 jl_eval_toplevel_stmts at /source/src/toplevel.c:601:15 jl_toplevel_eval_flex at /source/src/toplevel.c:688:27 ijl_toplevel_eval at /source/src/toplevel.c:786:12 ijl_toplevel_eval_in at /source/src/toplevel.c:831:13 eval at ./boot.jl:618:0 (pc: 1) __script_entry_eval at ./client.jl:106:0 [inlined] exec_options at ./client.jl:350:0 (pc: 426) _start at ./client.jl:695:0 (pc: 217) jfptr__start_0.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4590:23 [inlined] ijl_apply_generic at /source/src/gf.c:4838:12 jl_apply at /source/src/julia.h:2533:12 [inlined] true_main at /source/src/jlapi.c:989:29 jl_repl_entrypoint at /source/src/jlapi.c:1156:15 main at /source/cli/loader_exe.c:117:15 unknown function (ip: 0x7c35a057a249) 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: 3304862319 (Pool: 3304860241; Big: 2078); GC: 2120 wait at ./condition.jl:325:0 [inlined] _trywait at ./asyncevent.jl:204:0 (pc: 38) #_trywait#722 at ./asyncevent.jl:175:0 [inlined] _trywait at ./asyncevent.jl:175:0 [inlined] profile_printing_listener at ./Base.jl:366:0 (pc: 23) #start_profile_listener##0 at ./Base.jl:386:0 (pc: 2) jfptr_YY.start_profile_listenerYY.YY.0_0.1 at /opt/julia/lib/julia/sys.so (unknown line) start_task at /source/src/task.c:1275:23 unknown function (ip: (nil)) at (unknown file) Allocations: 21313241 (Pool: 21312439; Big: 802); GC: 19 PkgEval terminated after 2802.87s: test duration exceeded the time limit