Package evaluation to test StructuralIdentifiability on Julia 1.12.6 (15346901f00) started at 2026-06-29T11:49:33.536 ################################################################################ # Set-up # Installing PkgEval dependencies (TestEnv)... Activating project at `~/.julia/environments/v1.12` Set-up completed after 6.27s ################################################################################ # Installation # Installing StructuralIdentifiability... Resolving package versions... Updating `~/.julia/environments/v1.12/Project.toml` [220ca800] + StructuralIdentifiability v0.5.23 Updating `~/.julia/environments/v1.12/Manifest.toml` ⌅ [c3fe647b] + AbstractAlgebra v0.48.6 [a9b6321e] + Atomix v1.1.3 [861a8166] + Combinatorics v1.1.0 [864edb3b] + DataStructures v0.19.6 [e2ba6199] + ExprTools v0.1.10 [0b43b601] + Groebner v0.10.3 [18e54dd8] + IntegerMathUtils v0.1.3 [c8e1da08] + IterTools v1.10.0 [692b3bcd] + JLLWrappers v1.8.0 [1914dd2f] + MacroTools v0.5.16 ⌅ [2edaba10] + Nemo v0.54.2 [bac558e1] + OrderedCollections v2.0.1 [3e851597] + ParamPunPam v0.5.7 [aea7be01] + PrecompileTools v1.3.4 [21216c6a] + Preferences v1.5.2 [27ebfcd6] + Primes v0.5.7 [92933f4c] + ProgressMeter v1.11.0 [fb686558] + RandomExtensions v0.4.4 [73480bc8] + RationalFunctionFields v0.3.1 [220ca800] + StructuralIdentifiability v0.5.23 [a759f4b9] + TimerOutputs v0.5.29 [013be700] + UnsafeAtomics v0.3.1 ⌅ [e134572f] + FLINT_jll v301.400.1+0 [656ef2d0] + OpenBLAS32_jll v0.3.33+1 [56f22d72] + Artifacts v1.11.0 [ade2ca70] + Dates v1.11.0 [8ba89e20] + Distributed v1.11.0 [8f399da3] + Libdl v1.11.0 [37e2e46d] + LinearAlgebra v1.12.0 [56ddb016] + Logging v1.11.0 [de0858da] + Printf v1.11.0 [9a3f8284] + Random v1.11.0 [ea8e919c] + SHA v0.7.0 [9e88b42a] + Serialization v1.11.0 [6462fe0b] + Sockets v1.11.0 [2f01184e] + SparseArrays v1.12.0 [fa267f1f] + TOML v1.0.3 [4ec0a83e] + Unicode v1.11.0 [e66e0078] + CompilerSupportLibraries_jll v1.3.0+1 [781609d7] + GMP_jll v6.3.0+2 [3a97d323] + MPFR_jll v4.2.2+0 [4536629a] + OpenBLAS_jll v0.3.29+0 [bea87d4a] + SuiteSparse_jll v7.8.3+2 [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 To see why use `status --outdated -m` Installation completed after 5.86s ################################################################################ # Precompilation # Precompiling PkgEval dependencies... Precompiling package dependencies... Precompiling packages... 895.9 ms ✓ IntegerMathUtils 1114.2 ms ✓ DocStringExtensions 838.9 ms ✓ ExprTools 809.9 ms ✓ IfElse 4539.1 ms ✓ IrrationalConstants 3505.3 ms ✓ UnsafeAtomics 824.1 ms ✓ CommonWorldInvalidations 1090.2 ms ✓ IterTools 824.9 ms ✓ DeepDiffs 1656.2 ms ✓ ProgressMeter 759.2 ms ✓ SciMLPublic 4318.3 ms ✓ RandomExtensions 3555.0 ms ✓ Compat 1534.4 ms ✓ CpuId 1220.4 ms ✓ OpenSpecFun_jll 1207.6 ms ✓ OpenBLAS32_jll 48865.6 ms ✓ ExplicitImports 1090.9 ms ✓ Primes 5369.8 ms ✓ TimerOutputs 1329.9 ms ✓ LogExpFunctions 941.0 ms ✓ Atomix 1223.2 ms ✓ TestSetExtensions 9281.5 ms ✓ Static 95914.9 ms ✓ AbstractAlgebra 913.5 ms ✓ Compat → CompatLinearAlgebraExt 3061.4 ms ✓ FLINT_jll 5218.7 ms ✓ SpecialFunctions 2016.2 ms ✓ CPUSummary 4997.2 ms ✓ AbstractAlgebra → TestExt 3818.5 ms ✓ Aqua 35596.9 ms ✓ Nemo 3077.5 ms ✓ SciMLTesting 120693.5 ms ✓ Groebner 7434.4 ms ✓ ParamPunPam 7409.3 ms ✓ RationalFunctionFields 274776.7 ms ✓ StructuralIdentifiability 36 dependencies successfully precompiled in 662 seconds. 43 already precompiled. Precompilation completed after 675.13s ################################################################################ # Testing # Testing StructuralIdentifiability Status `/tmp/jl_xIchCx/Project.toml` ⌅ [c3fe647b] AbstractAlgebra v0.48.6 [4c88cf16] Aqua v0.8.16 [2a0fbf3d] CPUSummary v0.2.7 [861a8166] Combinatorics v1.1.0 [864edb3b] DataStructures v0.19.6 [0b43b601] Groebner v0.10.3 [c8e1da08] IterTools v1.10.0 [1914dd2f] MacroTools v0.5.16 ⌅ [2edaba10] Nemo v0.54.2 [3e851597] ParamPunPam v0.5.7 [aea7be01] PrecompileTools v1.3.4 [27ebfcd6] Primes v0.5.7 [73480bc8] RationalFunctionFields v0.3.1 [1bc83da4] SafeTestsets v0.1.0 [09d9d899] SciMLTesting v1.7.0 [276daf66] SpecialFunctions v2.8.0 [220ca800] StructuralIdentifiability v0.5.23 [98d24dd4] TestSetExtensions v4.0.3 [a759f4b9] TimerOutputs v0.5.29 [ade2ca70] Dates v1.11.0 [37e2e46d] LinearAlgebra v1.12.0 [56ddb016] Logging v1.11.0 [9a3f8284] Random v1.11.0 [8dfed614] Test v1.11.0 Status `/tmp/jl_xIchCx/Manifest.toml` ⌅ [c3fe647b] AbstractAlgebra v0.48.6 [4c88cf16] Aqua v0.8.16 [a9b6321e] Atomix v1.1.3 [2a0fbf3d] CPUSummary v0.2.7 [861a8166] Combinatorics v1.1.0 [f70d9fcc] CommonWorldInvalidations v1.1.0 [34da2185] Compat v4.18.1 [adafc99b] CpuId v0.3.1 [864edb3b] DataStructures v0.19.6 [ab62b9b5] DeepDiffs v1.2.0 [ffbed154] DocStringExtensions v0.9.5 [7d51a73a] ExplicitImports v1.15.0 [e2ba6199] ExprTools v0.1.10 [0b43b601] Groebner v0.10.3 [615f187c] IfElse v0.1.1 [18e54dd8] IntegerMathUtils v0.1.3 [92d709cd] IrrationalConstants v0.2.6 [c8e1da08] IterTools v1.10.0 [692b3bcd] JLLWrappers v1.8.0 [2ab3a3ac] LogExpFunctions v1.0.1 [1914dd2f] MacroTools v0.5.16 ⌅ [2edaba10] Nemo v0.54.2 [bac558e1] OrderedCollections v2.0.1 [3e851597] ParamPunPam v0.5.7 [aea7be01] PrecompileTools v1.3.4 [21216c6a] Preferences v1.5.2 [27ebfcd6] Primes v0.5.7 [92933f4c] ProgressMeter v1.11.0 [fb686558] RandomExtensions v0.4.4 [73480bc8] RationalFunctionFields v0.3.1 [1bc83da4] SafeTestsets v0.1.0 [431bcebd] SciMLPublic v1.2.1 [09d9d899] SciMLTesting v1.7.0 [276daf66] SpecialFunctions v2.8.0 [aedffcd0] Static v1.4.2 [220ca800] StructuralIdentifiability v0.5.23 [98d24dd4] TestSetExtensions v4.0.3 [a759f4b9] TimerOutputs v0.5.29 [013be700] UnsafeAtomics v0.3.1 ⌅ [e134572f] FLINT_jll v301.400.1+0 [656ef2d0] OpenBLAS32_jll v0.3.33+1 [efe28fd5] OpenSpecFun_jll v0.5.6+0 [0dad84c5] ArgTools v1.1.2 [56f22d72] Artifacts v1.11.0 [2a0f44e3] Base64 v1.11.0 [ade2ca70] Dates v1.11.0 [8ba89e20] Distributed v1.11.0 [f43a241f] Downloads v1.7.0 [7b1f6079] FileWatching v1.11.0 [b77e0a4c] InteractiveUtils v1.11.0 [ac6e5ff7] JuliaSyntaxHighlighting v1.12.0 [b27032c2] LibCURL v0.6.4 [76f85450] LibGit2 v1.11.0 [8f399da3] Libdl v1.11.0 [37e2e46d] LinearAlgebra v1.12.0 [56ddb016] Logging v1.11.0 [d6f4376e] Markdown v1.11.0 [ca575930] NetworkOptions v1.3.0 [44cfe95a] Pkg v1.12.1 [de0858da] Printf v1.11.0 [9a3f8284] Random v1.11.0 [ea8e919c] SHA v0.7.0 [9e88b42a] Serialization v1.11.0 [6462fe0b] Sockets v1.11.0 [2f01184e] SparseArrays v1.12.0 [f489334b] StyledStrings v1.11.0 [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 v1.3.0+1 [781609d7] GMP_jll v6.3.0+2 [deac9b47] LibCURL_jll v8.15.0+0 [e37daf67] LibGit2_jll v1.9.0+0 [29816b5a] LibSSH2_jll v1.11.3+1 [3a97d323] MPFR_jll v4.2.2+0 [14a3606d] MozillaCACerts_jll v2025.11.4 [4536629a] OpenBLAS_jll v0.3.29+0 [05823500] OpenLibm_jll v0.8.7+0 [458c3c95] OpenSSL_jll v3.5.4+0 [bea87d4a] SuiteSparse_jll v7.8.3+2 [83775a58] Zlib_jll v1.3.1+2 [8e850b90] libblastrampoline_jll v5.15.0+0 [8e850ede] nghttp2_jll v1.64.0+1 [3f19e933] p7zip_jll v17.7.0+0 Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. Testing Running tests... Precompiling packages... 88683.0 ms ✓ AbstractAlgebra 1204.9 ms ✓ OpenBLAS32_jll 1299.5 ms ✓ FLINT_jll 31237.2 ms ✓ Nemo 117863.4 ms ✓ Groebner 7002.4 ms ✓ ParamPunPam 7583.1 ms ✓ RationalFunctionFields 10082.1 ms ✓ StructuralIdentifiability 8 dependencies successfully precompiled in 265 seconds. 28 already precompiled. Precompiling packages... 7442.9 ms ✓ AbstractAlgebra → TestExt 1 dependency successfully precompiled in 8 seconds. 19 already precompiled. Precompiling packages... 1293.6 ms ✓ OpenSpecFun_jll 4980.6 ms ✓ SpecialFunctions 2 dependencies successfully precompiled in 6 seconds. 11 already precompiled. [ 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 5m15.1s Test Summary: | Pass Total Time Core/check_primality_zerodim.jl | 5 5 1m51.5s [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: a [ Info: Inputs: [ Info: Outputs: y ┌ Warning: New variable c, treating as a scalar parameter └ @ StructuralIdentifiability ~/.julia/packages/StructuralIdentifiability/mw5Vw/src/pb_representation.jl:94 [ Info: Summary of the model: [ Info: State variables: x1, x2, x3 [ Info: Parameters: a [ Info: Inputs: u [ Info: Outputs: y1, y2 Test Summary: | Pass Total Time Core/common_ring.jl | 2 2 31.3s Test Summary: | Pass Total Time Core/decompose_derivative.jl | 5 5 0.4s Test Summary: | Pass Total Time Core/det_minor_expansion.jl | 50 50 2.9s [ Info: Summary of the model: [ Info: State variables: a [ Info: Parameters: b [ Info: Inputs: c [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: a, b [ Info: Parameters: k1, k2 [ Info: Inputs: c [ Info: Outputs: y Test Summary: | Pass Total Time Core/diff_sequence_solution.jl | 2 2 11.4s [ 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 1.335434 seconds (1.01 M allocations: 49.339 MiB, 99.75% compilation time) 0.001282 seconds (7.39 k allocations: 328.711 KiB) 0.001389 seconds (10.78 k allocations: 483.000 KiB) 0.001191 seconds (10.74 k allocations: 477.688 KiB) 0.002062 seconds (14.46 k allocations: 631.719 KiB) 0.000854 seconds (7.93 k allocations: 359.258 KiB) 0.000631 seconds (7.45 k allocations: 300.148 KiB) 10.523770 seconds (6.80 M allocations: 336.295 MiB, 6.06% gc time, 99.90% compilation time) Test Summary: | Pass Total Time Core/differentiate_output.jl | 58 58 31.6s [ Info: Summary of the model: [ Info: State variables: x [ Info: Parameters: a [ Info: Inputs: [ Info: Outputs: y [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: [ Info: Inputs: u [ Info: Outputs: y 0.242706 seconds (105.93 k allocations: 5.148 MiB, 99.41% compilation time) [ Info: Summary of the model: [ Info: State variables: x1, x2 [ Info: Parameters: [ Info: Inputs: u [ Info: Outputs: y 0.010260 seconds (10.27 k allocations: 542.570 KiB, 89.05% compilation time) Test Summary: | Pass Total Time Core/diffreduction.jl | 6 6 15.1s Test Summary: | Pass Total Time Core/exp_vec_trie.jl | 800 800 1.9s [ 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 4.2s Test Summary: | Pass Total Time Core/extract_coefficients.jl | 9 9 4.1s [ 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}(y1(t)_2 => -y1(t)_0 + y1(t)_2, y2(t)_1 => -a*y2(t)_0 + a*u(t)_0 + y2(t)_1 - u(t)_1) Test Summary: | Pass Total Time Core/find_leader.jl | 5 5 1.7s [ 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 0.002452178 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 1.302041367 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 0.053703175 seconds [ Info: Global identifiability assessed in 33.380446432 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Functions to check involve states [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001954335 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Global identifiability assessed in 1.113167675 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Global identifiability assessed in 7.0019e-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 0.030665898 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.279194037 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.2389e-5 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:11 ✓ # Computing specializations.. Time: 0:00:12 [ Info: Search for polynomial generators concluded in 12.068451059 [ Info: Selecting generators in 0.012683437 [ Info: Inclusion checked with probability 0.9955 in 0.055648656 seconds [ Info: Global identifiability assessed in 79.155339637 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Computing IO-equations [ Info: Computed IO-equations in 1.54605945 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 2.694137964 seconds [ Info: Dimensions of the Wronskians [676] [ Info: Ranks of the Wronskians computed in 0.098712304 seconds [ Info: Global identifiability assessed in 36.303029146 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.014006169 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.02794613 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000328826 seconds [ Info: Global identifiability assessed in 0.072621536 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 4.833547976 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003582196 seconds [ Info: Dimensions of the Wronskians [2, 3, 2] [ Info: Ranks of the Wronskians computed in 4.041e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.628765473 [ Info: Selecting generators in 0.000386835 [ Info: Inclusion checked with probability 0.9955 in 0.002928794 seconds [ Info: Global identifiability assessed in 7.681807499 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002350061 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001483832 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.1929e-5 seconds [ Info: Global identifiability assessed in 0.007125323 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002655207 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001800358 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.321e-5 seconds [ Info: Global identifiability assessed in 0.007784495 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Functions to check involve states [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.005466064 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003952722 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.329e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.744036128 [ Info: Selecting generators in 0.020323052 [ Info: Inclusion checked with probability 0.9955 in 0.005858899 seconds [ Info: Global identifiability assessed in 1.563734956 seconds [ Info: Assessing local identifiability [ Info: Assessing global identifiability [ Info: Functions to check involve states [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.009193568 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003917092 seconds [ Info: Dimensions of the Wronskians [5, 2] [ Info: Ranks of the Wronskians computed in 2.7169e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.00820587 [ Info: Selecting generators in 0.004402846 [ Info: Inclusion checked with probability 0.9955 in 0.004798622 seconds [ Info: Global identifiability assessed in 0.056727399 seconds Test Summary: | Pass Total Time Core/identifiability.jl | 11 11 3m28.7s [ 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 0.001368144 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001037027 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.613e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000100859 [ Info: Selecting generators in 0.803764582 [ Info: Inclusion checked with probability 0.995 in 0.001987876 seconds [ Info: The search for identifiable functions concluded in 1.687701077 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 0.001318724 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000985318 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.914e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.6879e-5 [ Info: Selecting generators in 0.000738071 [ Info: Inclusion checked with probability 0.995 in 0.001951596 seconds [ Info: The search for identifiable functions concluded in 0.009619803 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 0.001171405 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000879229 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.713e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.3159e-5 [ Info: Selecting generators in 0.000655942 [ Info: Inclusion checked with probability 0.995 in 0.001840347 seconds [ Info: The search for identifiable functions concluded in 0.008767103 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 0.001205525 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000918759 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.7559e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000485795 [ Info: Selecting generators in 0.000723071 [ Info: Inclusion checked with probability 0.995 in 0.001835178 seconds [ Info: The search for identifiable functions concluded in 0.009652752 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 0.001251184 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000918279 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.681e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000446784 [ Info: Selecting generators in 0.000668372 [ Info: Inclusion checked with probability 0.995 in 0.001886217 seconds [ Info: The search for identifiable functions concluded in 0.010232815 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 0.001256955 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001038858 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.245e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000423285 [ Info: Selecting generators in 0.000673692 [ Info: Inclusion checked with probability 0.995 in 0.001807448 seconds [ Info: The search for identifiable functions concluded in 0.010377113 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 0.001820338 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001119866 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 2.138e-5 seconds [ Info: The search for identifiable functions concluded in 0.033291894 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001697069 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001099277 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.824e-5 seconds [ Info: The search for identifiable functions concluded in 0.003951632 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001481352 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000985788 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.425e-5 seconds [ Info: The search for identifiable functions concluded in 0.003184661 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001511231 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000954228 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.676e-5 seconds [ Info: The search for identifiable functions concluded in 0.003397909 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001324034 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000927408 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 2.759e-5 seconds [ Info: The search for identifiable functions concluded in 0.00326795 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001329134 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000945279 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.893e-5 seconds [ Info: The search for identifiable functions concluded in 0.00332768 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001693659 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001047757 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 2.059e-5 seconds [ Info: The search for identifiable functions concluded in 0.004193709 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001508241 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000975618 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.989e-5 seconds [ Info: The search for identifiable functions concluded in 0.003582706 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001464412 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001221135 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 3.188e-5 seconds [ Info: The search for identifiable functions concluded in 0.003629716 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001508332 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001049917 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 2.599e-5 seconds [ Info: The search for identifiable functions concluded in 0.003690215 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001519281 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001009137 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.994e-5 seconds [ Info: The search for identifiable functions concluded in 0.003722375 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001568781 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001049147 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.819e-5 seconds [ Info: The search for identifiable functions concluded in 0.003753124 seconds [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.149539536 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00163183 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.98e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 7.9859e-5 [ Info: Selecting generators in 0.000629982 [ Info: Inclusion checked with probability 0.995 in 0.001863457 seconds [ Info: The search for identifiable functions concluded in 0.158693745 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 0.002367271 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001394663 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.661e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.0569e-5 [ Info: Selecting generators in 0.000613772 [ Info: Inclusion checked with probability 0.995 in 0.001728889 seconds [ Info: The search for identifiable functions concluded in 0.010519102 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 0.002258332 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001343434 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.6e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.2179e-5 [ Info: Selecting generators in 0.000593413 [ Info: Inclusion checked with probability 0.995 in 0.001865988 seconds [ Info: The search for identifiable functions concluded in 0.010191536 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 0.00241748 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001396463 seconds [ Info: Dimensions of the Wronskians [2] [ 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 0.000434264 [ Info: Selecting generators in 0.000633312 [ Info: Inclusion checked with probability 0.995 in 0.001785278 seconds [ Info: The search for identifiable functions concluded in 0.011119244 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 0.002316051 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001388553 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.573e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000414025 [ Info: Selecting generators in 0.000570883 [ Info: Inclusion checked with probability 0.995 in 0.001778148 seconds [ Info: The search for identifiable functions concluded in 0.01072571 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 0.002181954 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001349993 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.096e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000414765 [ Info: Selecting generators in 0.000626742 [ Info: Inclusion checked with probability 0.995 in 0.001735249 seconds [ Info: The search for identifiable functions concluded in 0.01147877 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 0.001225605 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001097957 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 1.8919e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000109448 [ Info: Selecting generators in 0.002106084 [ Info: Inclusion checked with probability 0.995 in 0.003499718 seconds [ Info: The search for identifiable functions concluded in 0.016482099 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 0.001422383 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001456982 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.145e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000128249 [ Info: Selecting generators in 0.00244661 [ Info: Inclusion checked with probability 0.995 in 0.004494705 seconds [ Info: The search for identifiable functions concluded in 0.021127822 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 0.001545691 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001166226 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 1.651e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000102348 [ Info: Selecting generators in 0.002007906 [ Info: Inclusion checked with probability 0.995 in 0.003466918 seconds [ Info: The search for identifiable functions concluded in 0.016684296 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 0.001258484 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001098046 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 1.995e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.142149207 [ Info: Selecting generators in 0.003559167 [ Info: Inclusion checked with probability 0.995 in 0.003553107 seconds [ Info: The search for identifiable functions concluded in 0.160848598 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 0.001262025 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001043137 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 1.806e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.013896361 [ Info: Selecting generators in 0.003344609 [ Info: Inclusion checked with probability 0.995 in 0.003514757 seconds [ Info: The search for identifiable functions concluded in 0.032287676 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 0.001370403 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001217465 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.3759e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.025880875 [ Info: Selecting generators in 0.003558617 [ Info: Inclusion checked with probability 0.995 in 0.003559887 seconds [ Info: The search for identifiable functions concluded in 1.057259175 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 0.001325454 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001024187 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.2429e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000133369 [ Info: Selecting generators in 0.002207313 [ Info: Inclusion checked with probability 0.995 in 0.002790025 seconds [ Info: The search for identifiable functions concluded in 0.71895654 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 0.001279075 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000997957 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.2119e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.5299e-5 [ Info: Selecting generators in 0.002177584 [ Info: Inclusion checked with probability 0.995 in 0.002713727 seconds [ Info: The search for identifiable functions concluded in 0.014696091 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 0.001242455 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001030597 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.336e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.0599e-5 [ Info: Selecting generators in 0.002090914 [ Info: Inclusion checked with probability 0.995 in 0.002589629 seconds [ Info: The search for identifiable functions concluded in 0.014137108 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 0.001581101 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001325504 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.966e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.138746497 [ Info: Selecting generators in 0.002274022 [ Info: Inclusion checked with probability 0.995 in 0.002662067 seconds [ Info: The search for identifiable functions concluded in 0.155215726 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 0.001154276 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000909709 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.977e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.005066738 [ Info: Selecting generators in 0.002188494 [ Info: Inclusion checked with probability 0.995 in 0.002567699 seconds [ Info: The search for identifiable functions concluded in 0.018189908 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 0.001332224 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001021998 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.229e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.00572693 [ Info: Selecting generators in 0.002866195 [ Info: Inclusion checked with probability 0.995 in 0.002975874 seconds [ Info: The search for identifiable functions concluded in 0.021855004 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 0.002270792 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001619931 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.0849e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.5439e-5 [ Info: Selecting generators in 0.000565783 [ Info: Inclusion checked with probability 0.995 in 0.002921855 seconds [ Info: The search for identifiable functions concluded in 0.018344066 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 0.002095194 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001494652 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.745e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000103818 [ Info: Selecting generators in 0.000594703 [ Info: Inclusion checked with probability 0.995 in 0.003038093 seconds [ Info: The search for identifiable functions concluded in 0.018341126 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 0.002663598 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00170752 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.062e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000111349 [ Info: Selecting generators in 0.000641902 [ Info: Inclusion checked with probability 0.995 in 0.003833433 seconds [ Info: The search for identifiable functions concluded in 0.021192252 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 0.002134684 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001498552 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.873e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.007789135 [ Info: Selecting generators in 0.000745591 [ Info: Inclusion checked with probability 0.995 in 0.003186301 seconds [ Info: The search for identifiable functions concluded in 0.034473679 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 0.002173263 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001565441 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.9299e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.007164012 [ Info: Selecting generators in 0.000738481 [ Info: Inclusion checked with probability 0.995 in 0.003384138 seconds [ Info: The search for identifiable functions concluded in 0.0254056 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 0.002041675 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001394883 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.901e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006641699 [ Info: Selecting generators in 0.000677321 [ Info: Inclusion checked with probability 0.995 in 0.002734696 seconds [ Info: The search for identifiable functions concluded in 0.023579582 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 0.002641228 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001831368 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 1.893e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000111438 [ Info: Selecting generators in 0.003376309 [ Info: Inclusion checked with probability 0.995 in 0.003519837 seconds [ Info: The search for identifiable functions concluded in 0.022819261 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 0.002677787 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001827787 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 1.933e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000115818 [ Info: Selecting generators in 0.003185821 [ Info: Inclusion checked with probability 0.995 in 0.003415099 seconds [ Info: The search for identifiable functions concluded in 0.023140178 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 0.00247927 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001701189 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.065e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000108709 [ Info: Selecting generators in 0.003001813 [ Info: Inclusion checked with probability 0.995 in 0.003373129 seconds [ Info: The search for identifiable functions concluded in 0.021832714 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 0.002495449 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001761499 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.404e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.013371167 [ Info: Selecting generators in 0.003348209 [ Info: Inclusion checked with probability 0.995 in 0.003839623 seconds [ Info: The search for identifiable functions concluded in 0.036251488 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 0.002535889 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001714789 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.09e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.01389373 [ Info: Selecting generators in 0.003245101 [ Info: Inclusion checked with probability 0.995 in 0.003687435 seconds [ Info: The search for identifiable functions concluded in 0.036655613 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 0.003106962 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002026405 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.2429e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.013276428 [ Info: Selecting generators in 0.003383649 [ Info: Inclusion checked with probability 0.995 in 0.003508388 seconds [ Info: The search for identifiable functions concluded in 0.036471025 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 0.014139868 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004492005 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 2.5189e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000155548 [ Info: Selecting generators in 0.009706861 [ Info: Inclusion checked with probability 0.995 in 0.006382243 seconds [ Info: The search for identifiable functions concluded in 0.205323755 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 0.006738368 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004787332 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.1699e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000125808 [ Info: Selecting generators in 0.010203396 [ Info: Inclusion checked with probability 0.995 in 0.006087106 seconds [ Info: The search for identifiable functions concluded in 0.048600957 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 0.006983284 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005094148 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.762e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000143118 [ Info: Selecting generators in 0.009367106 [ Info: Inclusion checked with probability 0.995 in 0.00653515 seconds [ Info: The search for identifiable functions concluded in 0.048842724 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 0.007202922 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004971379 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 2.9439e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002517499 [ Info: Selecting generators in 0.010093727 [ Info: Inclusion checked with probability 0.995 in 0.006305453 seconds [ Info: The search for identifiable functions concluded in 0.052812965 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 0.00739511 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005190657 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.1039e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002236433 [ Info: Selecting generators in 0.010454992 [ Info: Inclusion checked with probability 0.995 in 0.006494881 seconds [ Info: The search for identifiable functions concluded in 0.053922122 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 0.007644287 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005137097 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.157e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002360901 [ Info: Selecting generators in 0.010213906 [ Info: Inclusion checked with probability 0.995 in 0.006430462 seconds [ Info: The search for identifiable functions concluded in 0.054241579 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 0.005298645 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00327978 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.1649e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000108369 [ Info: Selecting generators in 0.002025546 [ Info: Inclusion checked with probability 0.995 in 0.003892533 seconds [ Info: The search for identifiable functions concluded in 0.026788654 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 0.005310045 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003220251 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.4419e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000118488 [ Info: Selecting generators in 0.002141254 [ Info: Inclusion checked with probability 0.995 in 0.004690723 seconds [ Info: The search for identifiable functions concluded in 0.028419183 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 0.0057545 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003559336 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.44e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000119199 [ Info: Selecting generators in 0.002150444 [ Info: Inclusion checked with probability 0.995 in 0.004235978 seconds [ Info: The search for identifiable functions concluded in 0.029106455 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 0.005328805 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00324454 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.02e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001305544 [ Info: Selecting generators in 0.002152374 [ Info: Inclusion checked with probability 0.995 in 0.00412844 seconds [ Info: The search for identifiable functions concluded in 0.029082465 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 0.005033849 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003482858 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.162e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001376293 [ Info: Selecting generators in 0.00245117 [ Info: Inclusion checked with probability 0.995 in 0.004407366 seconds [ Info: The search for identifiable functions concluded in 0.030108463 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 0.005455103 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003373239 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.099e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001308034 [ Info: Selecting generators in 0.002218323 [ Info: Inclusion checked with probability 0.995 in 0.00412252 seconds [ Info: The search for identifiable functions concluded in 0.029849915 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 0.005299565 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003349989 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.3029e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000125869 [ Info: Selecting generators in 0.003155232 [ Info: Inclusion checked with probability 0.995 in 0.004730123 seconds [ Info: The search for identifiable functions concluded in 0.034520378 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 0.005351165 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00322413 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.0769e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000133078 [ Info: Selecting generators in 0.002804116 [ Info: Inclusion checked with probability 0.995 in 0.004549395 seconds [ Info: The search for identifiable functions concluded in 0.033874407 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 0.005388764 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003368279 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.4079e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000126968 [ Info: Selecting generators in 0.003139741 [ Info: Inclusion checked with probability 0.995 in 0.004278908 seconds [ Info: The search for identifiable functions concluded in 0.553956031 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 0.005478053 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003420809 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.0429e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.019543492 [ Info: Selecting generators in 0.003889412 [ Info: Inclusion checked with probability 0.995 in 0.003942022 seconds [ Info: The search for identifiable functions concluded in 0.052898035 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 0.004973309 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003007093 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.2089e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.018496225 [ Info: Selecting generators in 0.003725265 [ Info: Inclusion checked with probability 0.995 in 0.003797294 seconds [ Info: The search for identifiable functions concluded in 0.050310506 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 0.00489897 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002880065 seconds [ Info: Dimensions of the Wronskians [4] [ Info: Ranks of the Wronskians computed in 2.476e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.019269354 [ Info: Selecting generators in 0.003894992 [ Info: Inclusion checked with probability 0.995 in 0.003821494 seconds [ Info: The search for identifiable functions concluded in 0.0516381 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 0.002771366 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001761068 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.875e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000112479 [ Info: Selecting generators in 0.002116524 [ Info: Inclusion checked with probability 0.995 in 0.003307059 seconds [ Info: The search for identifiable functions concluded in 0.024206014 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 0.002617128 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001909457 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.948e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.8789e-5 [ Info: Selecting generators in 0.001822058 [ Info: Inclusion checked with probability 0.995 in 0.00329638 seconds [ Info: The search for identifiable functions concluded in 0.019511902 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 0.002307502 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00167392 seconds [ Info: Dimensions of the Wronskians [3] [ 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 0.000110778 [ Info: Selecting generators in 0.001754718 [ Info: Inclusion checked with probability 0.995 in 0.0032728 seconds [ Info: The search for identifiable functions concluded in 0.018304556 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 0.002574829 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001786528 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 1.8519e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.01224892 [ Info: Selecting generators in 0.002113474 [ Info: Inclusion checked with probability 0.995 in 0.00326665 seconds [ Info: The search for identifiable functions concluded in 0.03197233 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 0.002543589 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001800878 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.1789e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.012777804 [ Info: Selecting generators in 0.002058605 [ Info: Inclusion checked with probability 0.995 in 0.003673185 seconds [ Info: The search for identifiable functions concluded in 0.032223397 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 0.002517319 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001810598 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 0.012624016 [ Info: Selecting generators in 0.002030205 [ Info: Inclusion checked with probability 0.995 in 0.003331189 seconds [ Info: The search for identifiable functions concluded in 0.032181377 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 0.014310815 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.029797516 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000359866 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:05 ✓ # Computing specializations.. Time: 0:00:05 [ Info: Search for polynomial generators concluded in 0.000140338 [ Info: Selecting generators in 0.019311334 [ Info: Inclusion checked with probability 0.995 in 0.031415357 seconds [ Info: The search for identifiable functions concluded in 9.56283928 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 0.016686846 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.032083608 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000343936 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000152548 [ Info: Selecting generators in 0.019572441 [ Info: Inclusion checked with probability 0.995 in 0.031241938 seconds [ Info: The search for identifiable functions concluded in 0.176802881 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 0.014784859 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.453533189 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000465294 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000152928 [ Info: Selecting generators in 0.015996305 [ Info: Inclusion checked with probability 0.995 in 0.028283924 seconds [ Info: The search for identifiable functions concluded in 0.588398762 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 0.014608082 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.028880257 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000368496 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.775407226 [ Info: Selecting generators in 0.016744585 [ Info: Inclusion checked with probability 0.995 in 0.027214247 seconds [ Info: The search for identifiable functions concluded in 0.93396228 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 0.014391064 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.02779663 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000346096 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.045631352 [ Info: Selecting generators in 0.016937293 [ Info: Inclusion checked with probability 0.995 in 0.027295166 seconds [ Info: The search for identifiable functions concluded in 0.200835906 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 0.014248776 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.029016695 seconds [ Info: Dimensions of the Wronskians [69] [ Info: Ranks of the Wronskians computed in 0.000427955 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.045681092 [ Info: Selecting generators in 0.016590438 [ Info: Inclusion checked with probability 0.995 in 0.027228377 seconds [ Info: The search for identifiable functions concluded in 0.202066001 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 1.51887459 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 7.74030665 seconds [ Info: Dimensions of the Wronskians [830, 3] [ Info: Ranks of the Wronskians computed in 0.195077705 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: 0:00:01 Points: 2   ✓ # Computing specializations.. Time: 0:00:01 [ Info: Search for polynomial generators concluded in 0.000144318 [ Info: Selecting generators in 1.111910582 [ Info: Inclusion checked with probability 0.995 in 2.854347231 seconds [ Info: The search for identifiable functions concluded in 17.763364037 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 0.411583151 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 9.064287468 seconds [ Info: Dimensions of the Wronskians [830, 3] [ Info: Ranks of the Wronskians computed in 0.185823163 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: 8   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.000148158 [ Info: Selecting generators in 1.072139223 [ Info: Inclusion checked with probability 0.995 in 2.474572041 seconds [ Info: The search for identifiable functions concluded in 17.421695017 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 1.548553104 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 8.108339282 seconds [ Info: Dimensions of the Wronskians [830, 3] [ Info: Ranks of the Wronskians computed in 0.195269022 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 ⌜ # Computing specializations.. Time: 0:00:00 Points: 8   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.000151468 [ Info: Selecting generators in 1.034273484 [ Info: Inclusion checked with probability 0.995 in 3.734146184 seconds [ Info: The search for identifiable functions concluded in 18.650334843 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 0.431055832 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 8.40228154 seconds [ Info: Dimensions of the Wronskians [830, 3] [ Info: Ranks of the Wronskians computed in 0.212486266 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: 6   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.025647145 [ Info: Selecting generators in 0.57598158 [ Info: Inclusion checked with probability 0.995 in 3.191147044 seconds [ Info: The search for identifiable functions concluded in 17.052236997 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 0.419238208 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 9.123675444 seconds [ Info: Dimensions of the Wronskians [830, 3] [ Info: Ranks of the Wronskians computed in 0.181480593 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 7   ✓ # Computing specializations.. Time: 0:00:01 [ Info: Search for polynomial generators concluded in 0.026071648 [ Info: Selecting generators in 1.373749921 [ Info: Inclusion checked with probability 0.995 in 2.720266179 seconds [ Info: The search for identifiable functions concluded in 17.629434933 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 0.435792914 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 8.782622749 seconds [ Info: Dimensions of the Wronskians [830, 3] [ Info: Ranks of the Wronskians computed in 0.186052033 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:01 ✓ # Computing specializations.. Time: 0:00:01 ⌜ # Computing specializations.. Time: 0:00:00 Points: 7   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.029712853 [ Info: Selecting generators in 1.504190668 [ Info: Inclusion checked with probability 0.995 in 2.811686138 seconds [ Info: The search for identifiable functions concluded in 18.166048727 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 0.012368747 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.01048268 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.023e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000129968 [ Info: Selecting generators in 0.008401946 [ Info: Inclusion checked with probability 0.995 in 0.008703832 seconds [ Info: The search for identifiable functions concluded in 0.077222706 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 0.011901513 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.010644509 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.7239e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000110599 [ Info: Selecting generators in 0.008252238 [ Info: Inclusion checked with probability 0.995 in 0.009258696 seconds [ Info: The search for identifiable functions concluded in 0.077911437 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 0.011930732 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.009918337 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.3839e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000116628 [ Info: Selecting generators in 0.007874153 [ Info: Inclusion checked with probability 0.995 in 0.008647673 seconds [ Info: The search for identifiable functions concluded in 0.075464908 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 0.013060148 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.01131874 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.532e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.03646009 [ Info: Selecting generators in 0.013657181 [ Info: Inclusion checked with probability 0.995 in 0.009307415 seconds [ Info: The search for identifiable functions concluded in 0.127470865 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 0.014182825 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.011449778 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.8269e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.035519591 [ Info: Selecting generators in 0.015464158 [ Info: Inclusion checked with probability 0.995 in 0.0097277 seconds [ Info: The search for identifiable functions concluded in 0.127670572 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 0.013512713 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.011920293 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.667e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.034378955 [ Info: Selecting generators in 0.013195527 [ Info: Inclusion checked with probability 0.995 in 0.009202356 seconds [ Info: The search for identifiable functions concluded in 0.124177655 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 0.011910882 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007934842 seconds [ Info: Dimensions of the Wronskians [8] [ Info: Ranks of the Wronskians computed in 2.6609e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000246117 [ Info: Selecting generators in 0.056058288 [ Info: Inclusion checked with probability 0.995 in 0.015935023 seconds [ Info: The search for identifiable functions concluded in 1.540121434 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 0.014978575 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.009602411 seconds [ Info: Dimensions of the Wronskians [8] [ Info: Ranks of the Wronskians computed in 2.612e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000239607 [ Info: Selecting generators in 0.036539668 [ Info: Inclusion checked with probability 0.995 in 0.013827459 seconds [ Info: The search for identifiable functions concluded in 0.525281636 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 0.011892273 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00727111 seconds [ Info: Dimensions of the Wronskians [8] [ Info: Ranks of the Wronskians computed in 2.4309e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000241937 [ Info: Selecting generators in 0.036644267 [ Info: Inclusion checked with probability 0.995 in 0.013600182 seconds [ Info: The search for identifiable functions concluded in 0.483394874 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 0.011843064 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007086362 seconds [ Info: Dimensions of the Wronskians [8] [ Info: Ranks of the Wronskians computed in 2.5109e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 3.406380997 [ Info: Selecting generators in 0.073491081 [ Info: Inclusion checked with probability 0.995 in 0.014119235 seconds [ Info: The search for identifiable functions concluded in 3.915955866 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 0.01129608 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007467098 seconds [ Info: Dimensions of the Wronskians [8] [ Info: Ranks of the Wronskians computed in 2.398e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.306920874 [ Info: Selecting generators in 0.062512107 [ Info: Inclusion checked with probability 0.995 in 0.012548125 seconds [ Info: The search for identifiable functions concluded in 0.804866035 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 0.010716087 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006255113 seconds [ Info: Dimensions of the Wronskians [8] [ Info: Ranks of the Wronskians computed in 2.454e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.29664329 [ Info: Selecting generators in 0.844453303 [ Info: Inclusion checked with probability 0.995 in 0.016632174 seconds [ Info: The search for identifiable functions concluded in 1.576598348 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 0.037355018 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.017693091 seconds [ Info: Dimensions of the Wronskians [3, 36] [ Info: Ranks of the Wronskians computed in 8.1999e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000172458 [ Info: Selecting generators in 0.012988969 [ Info: Inclusion checked with probability 0.995 in 0.016505885 seconds [ Info: The search for identifiable functions concluded in 0.13985713 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 0.034018889 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.016622704 seconds [ Info: Dimensions of the Wronskians [3, 36] [ Info: Ranks of the Wronskians computed in 9.5819e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000140278 [ Info: Selecting generators in 0.00966687 [ Info: Inclusion checked with probability 0.995 in 0.015763884 seconds [ Info: The search for identifiable functions concluded in 0.125070732 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 0.032170432 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.016078971 seconds [ Info: Dimensions of the Wronskians [3, 36] [ Info: Ranks of the Wronskians computed in 8.0419e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000148568 [ Info: Selecting generators in 0.010383621 [ Info: Inclusion checked with probability 0.995 in 0.014738878 seconds [ Info: The search for identifiable functions concluded in 0.121057612 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 0.028069642 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.017593903 seconds [ Info: Dimensions of the Wronskians [3, 36] [ Info: Ranks of the Wronskians computed in 8.3269e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.048231063 [ Info: Selecting generators in 0.016299958 [ Info: Inclusion checked with probability 0.995 in 0.014845676 seconds [ Info: The search for identifiable functions concluded in 0.172577285 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 0.029719853 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.01539591 seconds [ Info: Dimensions of the Wronskians [3, 36] [ Info: Ranks of the Wronskians computed in 8.2969e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.047732509 [ Info: Selecting generators in 0.014925735 [ Info: Inclusion checked with probability 0.995 in 0.014066646 seconds [ Info: The search for identifiable functions concluded in 0.167841043 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 0.027149384 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.014907295 seconds [ Info: Dimensions of the Wronskians [3, 36] [ Info: Ranks of the Wronskians computed in 9.0659e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.046245398 [ Info: Selecting generators in 0.014200945 [ Info: Inclusion checked with probability 0.995 in 0.013817349 seconds [ Info: The search for identifiable functions concluded in 0.161330614 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 0.010644449 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.013656071 seconds [ Info: Dimensions of the Wronskians [32] [ Info: Ranks of the Wronskians computed in 6.3959e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000188408 [ Info: Selecting generators in 0.086279402 [ Info: Inclusion checked with probability 0.995 in 0.018368722 seconds [ Info: The search for identifiable functions concluded in 0.541471591 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 0.01129918 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.015507278 seconds [ Info: Dimensions of the Wronskians [32] [ Info: Ranks of the Wronskians computed in 6.202e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000167938 [ Info: Selecting generators in 1.014668584 [ Info: Inclusion checked with probability 0.995 in 0.021267247 seconds [ Info: The search for identifiable functions concluded in 1.498876643 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 0.014445861 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.018267994 seconds [ Info: Dimensions of the Wronskians [32] [ Info: Ranks of the Wronskians computed in 6.8809e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000187888 [ Info: Selecting generators in 0.08486058 [ Info: Inclusion checked with probability 0.995 in 0.023857175 seconds [ Info: The search for identifiable functions concluded in 0.585694561 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 0.011868263 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.014932585 seconds [ Info: Dimensions of the Wronskians [32] [ Info: Ranks of the Wronskians computed in 5.998e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.078525748 [ Info: Selecting generators in 0.084399575 [ Info: Inclusion checked with probability 0.995 in 0.015576037 seconds [ Info: The search for identifiable functions concluded in 0.604016235 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 0.010414201 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.014008227 seconds [ Info: Dimensions of the Wronskians [32] [ Info: Ranks of the Wronskians computed in 6.6879e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.099051394 [ Info: Selecting generators in 1.006708948 [ Info: Inclusion checked with probability 0.995 in 0.023564049 seconds [ Info: The search for identifiable functions concluded in 1.578431143 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 0.015197762 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.01697353 seconds [ Info: Dimensions of the Wronskians [32] [ Info: Ranks of the Wronskians computed in 6.3859e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.92697386 [ Info: Selecting generators in 0.088920473 [ Info: Inclusion checked with probability 0.995 in 0.018423323 seconds [ Info: The search for identifiable functions concluded in 1.529119206 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[s, b, Ninv, a + g, a*e*g, a*g + e*g*s - g*s] │ case = │ (ode = S'(t) = -S(t)*In(t)*Ninv*b - S(t)*u(t)*Ninv │ In'(t) = -In(t)*g + L(t)*a + Q(t)*s │ L'(t) = S(t)*In(t)*Ninv*b - L(t)*a │ Q'(t) = -In(t)*e*g + In(t)*g - Q(t)*s │ y(t) = In(t)*Ninv │ , ident_funcs = Nemo.QQMPolyRingElem[a*g + e*g*s - g*s, b, a + g, a*e*g, s, Ninv]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 12 variables S(t), In(t), L(t), Q(t), ..., s │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[S(t), In(t), L(t), Q(t), y(t), u(t), Ninv, a, b, e, g, s] [ Info: Computing IO-equations [ Info: Computed IO-equations in 3.858997643 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.07659921 seconds [ Info: Dimensions of the Wronskians [34, 2] [ Info: Ranks of the Wronskians computed in 8.1079e-5 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 9   ⌝ # Computing specializations.. Time: 0:00:00 Points: 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: 62   ⌞ # Computing specializations.. Time: 0:00:03 Points: 71   ⌜ # Computing specializations.. Time: 0:00:03 Points: 80   ⌝ # Computing specializations.. Time: 0:00:03 Points: 89   ✓ # Computing specializations.. Time: 0:00:04 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ⌝ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 9   ⌝ # Computing specializations.. Time: 0:00:00 Points: 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: 49   ⌟ # Computing specializations.. Time: 0:00:02 Points: 55   ⌞ # Computing specializations.. Time: 0:00:03 Points: 64   ⌜ # Computing specializations.. Time: 0:00:03 Points: 71   ⌝ # Computing specializations.. Time: 0:00:03 Points: 80   ⌟ # Computing specializations.. Time: 0:00:04 Points: 87   ⌞ # Computing specializations.. Time: 0:00:04 Points: 96   ⌜ # Computing specializations.. Time: 0:00:05 Points: 105   ⌝ # Computing specializations.. Time: 0:00:05 Points: 114   ⌟ # Computing specializations.. Time: 0:00:05 Points: 122   ⌞ # Computing specializations.. Time: 0:00:06 Points: 131   ⌜ # Computing specializations.. Time: 0:00:06 Points: 139   ⌝ # Computing specializations.. Time: 0:00:06 Points: 148   ⌟ # Computing specializations.. Time: 0:00:07 Points: 157   ⌞ # Computing specializations.. Time: 0:00:07 Points: 166   ⌜ # Computing specializations.. Time: 0:00:08 Points: 175   ⌝ # Computing specializations.. Time: 0:00:08 Points: 183   ⌟ # Computing specializations.. Time: 0:00:08 Points: 192   ⌞ # Computing specializations.. Time: 0:00:09 Points: 200   ⌜ # Computing specializations.. Time: 0:00:10 Points: 209   ⌝ # Computing specializations.. Time: 0:00:10 Points: 217   ⌟ # Computing specializations.. Time: 0:00:10 Points: 225   ⌞ # Computing specializations.. Time: 0:00:11 Points: 233   ⌜ # Computing specializations.. Time: 0:00:11 Points: 242   ⌝ # Computing specializations.. Time: 0:00:12 Points: 251   ⌟ # Computing specializations.. Time: 0:00:12 Points: 260   ⌞ # Computing specializations.. Time: 0:00:13 Points: 269   ⌜ # Computing specializations.. Time: 0:00:13 Points: 278   ⌝ # Computing specializations.. Time: 0:00:13 Points: 285   ⌟ # Computing specializations.. Time: 0:00:14 Points: 294   ⌞ # Computing specializations.. Time: 0:00:14 Points: 303   ⌜ # Computing specializations.. Time: 0:00:14 Points: 311   ⌝ # Computing specializations.. Time: 0:00:15 Points: 320   ⌟ # Computing specializations.. Time: 0:00:15 Points: 329   ⌞ # Computing specializations.. Time: 0:00:16 Points: 338   ⌜ # Computing specializations.. Time: 0:00:16 Points: 347   ⌝ # Computing specializations.. Time: 0:00:16 Points: 355   ⌟ # Computing specializations.. Time: 0:00:17 Points: 364   ⌞ # Computing specializations.. Time: 0:00:17 Points: 371   ⌜ # Computing specializations.. Time: 0:00:17 Points: 380   ⌝ # Computing specializations.. Time: 0:00:18 Points: 387   ⌟ # Computing specializations.. Time: 0:00:18 Points: 395   ⌞ # Computing specializations.. Time: 0:00:19 Points: 403   ⌜ # Computing specializations.. Time: 0:00:19 Points: 412   ⌝ # Computing specializations.. Time: 0:00:19 Points: 419   ⌟ # Computing specializations.. Time: 0:00:20 Points: 428   ⌞ # Computing specializations.. Time: 0:00:20 Points: 436   ⌜ # Computing specializations.. Time: 0:00:20 Points: 445   ⌝ # Computing specializations.. Time: 0:00:22 Points: 453   ⌟ # Computing specializations.. Time: 0:00:22 Points: 462   ⌞ # Computing specializations.. Time: 0:00:22 Points: 471   ⌜ # Computing specializations.. Time: 0:00:23 Points: 480   ⌝ # Computing specializations.. Time: 0:00:23 Points: 489   ⌟ # Computing specializations.. Time: 0:00:23 Points: 498   ⌞ # Computing specializations.. Time: 0:00:24 Points: 507   ⌜ # Computing specializations.. Time: 0:00:25 Points: 516   ⌝ # Computing specializations.. Time: 0:00:25 Points: 525   ⌟ # Computing specializations.. Time: 0:00:25 Points: 534   ⌞ # Computing specializations.. Time: 0:00:26 Points: 543   ⌜ # Computing specializations.. Time: 0:00:26 Points: 550   ⌝ # Computing specializations.. Time: 0:00:26 Points: 559   ⌟ # Computing specializations.. Time: 0:00:27 Points: 568   ⌞ # Computing specializations.. Time: 0:00:27 Points: 576   ⌜ # Computing specializations.. Time: 0:00:28 Points: 585   ⌝ # Computing specializations.. Time: 0:00:28 Points: 594   ⌟ # Computing specializations.. Time: 0:00:28 Points: 603   ⌞ # Computing specializations.. Time: 0:00:29 Points: 612   ⌜ # Computing specializations.. Time: 0:00:29 Points: 619   ⌝ # Computing specializations.. Time: 0:00:29 Points: 628   ⌟ # Computing specializations.. Time: 0:00:30 Points: 636   ✓ # Computing specializations.. Time: 0:00:30 [ Info: Search for polynomial generators concluded in 0.000281737 [ Info: Selecting generators in 0.041024264 [ Info: Inclusion checked with probability 0.995 in 8.881586176 seconds [ Info: The search for identifiable functions concluded in 66.457151609 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 2.722156192 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.081094787 seconds [ Info: Dimensions of the Wronskians [34, 2] [ Info: Ranks of the Wronskians computed in 8.3599e-5 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 9   ⌝ # Computing specializations.. Time: 0:00:00 Points: 18   ⌟ # Computing specializations.. Time: 0:00:02 Points: 27   ⌞ # Computing specializations.. Time: 0:00:02 Points: 36   ⌜ # Computing specializations.. Time: 0:00:02 Points: 45   ⌝ # Computing specializations.. Time: 0:00:03 Points: 53   ⌟ # Computing specializations.. Time: 0:00:03 Points: 61   ⌞ # Computing specializations.. Time: 0:00:03 Points: 70   ⌜ # Computing specializations.. Time: 0:00:04 Points: 79   ⌝ # Computing specializations.. Time: 0:00:04 Points: 88   ✓ # Computing specializations.. Time: 0:00:05 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ⌝ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 9   ⌝ # Computing specializations.. Time: 0:00:00 Points: 16   ⌟ # Computing specializations.. Time: 0:00:01 Points: 25   ⌞ # Computing specializations.. Time: 0:00:01 Points: 32   ⌜ # Computing specializations.. Time: 0:00:01 Points: 41   ⌝ # Computing specializations.. Time: 0:00:02 Points: 50   ⌟ # Computing specializations.. Time: 0:00:02 Points: 59   ⌞ # Computing specializations.. Time: 0:00:02 Points: 68   ⌜ # Computing specializations.. Time: 0:00:03 Points: 77   ⌝ # Computing specializations.. Time: 0:00:03 Points: 85   ⌟ # Computing specializations.. Time: 0:00:04 Points: 94   ⌞ # Computing specializations.. Time: 0:00:04 Points: 102   ⌜ # Computing specializations.. Time: 0:00:04 Points: 111   ⌝ # Computing specializations.. Time: 0:00:05 Points: 118   ⌟ # Computing specializations.. Time: 0:00:05 Points: 127   ⌞ # Computing specializations.. Time: 0:00:06 Points: 135   ⌜ # Computing specializations.. Time: 0:00:06 Points: 144   ⌝ # Computing specializations.. Time: 0:00:07 Points: 153   ⌟ # Computing specializations.. Time: 0:00:08 Points: 162   ⌞ # Computing specializations.. Time: 0:00:08 Points: 171   ⌜ # Computing specializations.. Time: 0:00:08 Points: 179   ⌝ # Computing specializations.. Time: 0:00:08 Points: 188   ⌟ # Computing specializations.. Time: 0:00:09 Points: 197   ⌞ # Computing specializations.. Time: 0:00:09 Points: 207   ⌜ # Computing specializations.. Time: 0:00:10 Points: 215   ⌝ # Computing specializations.. Time: 0:00:10 Points: 224   ⌟ # Computing specializations.. Time: 0:00:11 Points: 233   ⌞ # Computing specializations.. Time: 0:00:11 Points: 242   ⌜ # Computing specializations.. Time: 0:00:11 Points: 249   ⌝ # Computing specializations.. Time: 0:00:12 Points: 258   ⌟ # Computing specializations.. Time: 0:00:12 Points: 267   ⌞ # Computing specializations.. Time: 0:00:13 Points: 275   ⌜ # Computing specializations.. Time: 0:00:13 Points: 284   ⌝ # Computing specializations.. Time: 0:00:13 Points: 293   ⌟ # Computing specializations.. Time: 0:00:14 Points: 301   ⌞ # Computing specializations.. Time: 0:00:14 Points: 310   ⌜ # Computing specializations.. Time: 0:00:15 Points: 319   ⌝ # Computing specializations.. Time: 0:00:15 Points: 328   ⌟ # Computing specializations.. Time: 0:00:15 Points: 337   ⌞ # Computing specializations.. Time: 0:00:16 Points: 344   ⌜ # Computing specializations.. Time: 0:00:16 Points: 351   ⌝ # Computing specializations.. Time: 0:00:16 Points: 358   ⌟ # Computing specializations.. Time: 0:00:17 Points: 367   ⌞ # Computing specializations.. Time: 0:00:17 Points: 376   ⌜ # Computing specializations.. Time: 0:00:18 Points: 385   ⌝ # Computing specializations.. Time: 0:00:18 Points: 394   ⌟ # Computing specializations.. Time: 0:00:18 Points: 403   ⌞ # Computing specializations.. Time: 0:00:19 Points: 412   ⌜ # Computing specializations.. Time: 0:00:19 Points: 421   ⌝ # Computing specializations.. Time: 0:00:20 Points: 430   ⌟ # Computing specializations.. Time: 0:00:21 Points: 439   ⌞ # Computing specializations.. Time: 0:00:21 Points: 448   ⌜ # Computing specializations.. Time: 0:00:21 Points: 456   ⌝ # Computing specializations.. Time: 0:00:22 Points: 465   ⌟ # Computing specializations.. Time: 0:00:22 Points: 474   ⌞ # Computing specializations.. Time: 0:00:22 Points: 484   ⌜ # Computing specializations.. Time: 0:00:23 Points: 492   ⌝ # Computing specializations.. Time: 0:00:23 Points: 501   ⌟ # Computing specializations.. Time: 0:00:24 Points: 509   ⌞ # Computing specializations.. Time: 0:00:24 Points: 517   ⌜ # Computing specializations.. Time: 0:00:25 Points: 525   ⌝ # Computing specializations.. Time: 0:00:25 Points: 534   ⌟ # Computing specializations.. Time: 0:00:25 Points: 542   ⌞ # Computing specializations.. Time: 0:00:26 Points: 550   ⌜ # Computing specializations.. Time: 0:00:26 Points: 558   ⌝ # Computing specializations.. Time: 0:00:26 Points: 567   ⌟ # Computing specializations.. Time: 0:00:27 Points: 576   ⌞ # Computing specializations.. Time: 0:00:27 Points: 585   ⌜ # Computing specializations.. Time: 0:00:28 Points: 594   ⌝ # Computing specializations.. Time: 0:00:28 Points: 602   ⌟ # Computing specializations.. Time: 0:00:28 Points: 611   ⌞ # Computing specializations.. Time: 0:00:29 Points: 618   ⌜ # Computing specializations.. Time: 0:00:29 Points: 627   ⌝ # Computing specializations.. Time: 0:00:30 Points: 635   ✓ # Computing specializations.. Time: 0:00:30 [ Info: Search for polynomial generators concluded in 0.000399995 [ Info: Selecting generators in 0.050250423 [ Info: Inclusion checked with probability 0.995 in 8.880242191 seconds [ Info: The search for identifiable functions concluded in 65.025822216 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 2.87137371 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.087614038 seconds [ Info: Dimensions of the Wronskians [34, 2] [ Info: Ranks of the Wronskians computed in 7.6849e-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: 7   ⌝ # Computing specializations.. Time: 0:00:00 Points: 16   ⌟ # Computing specializations.. Time: 0:00:01 Points: 23   ⌞ # Computing specializations.. Time: 0:00:01 Points: 32   ⌜ # Computing specializations.. Time: 0:00:02 Points: 39   ⌝ # Computing specializations.. Time: 0:00:02 Points: 47   ⌟ # Computing specializations.. Time: 0:00:03 Points: 54   ⌞ # Computing specializations.. Time: 0:00:03 Points: 62   ⌜ # Computing specializations.. Time: 0:00:04 Points: 70   ⌝ # Computing specializations.. Time: 0:00:04 Points: 78   ⌟ # Computing specializations.. Time: 0:00:04 Points: 86   ⌞ # Computing specializations.. Time: 0:00:05 Points: 94   ✓ # Computing specializations.. Time: 0:00:05 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ⌝ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 5   ⌝ # Computing specializations.. Time: 0:00:00 Points: 13   ⌟ # Computing specializations.. Time: 0:00:01 Points: 21   ⌞ # Computing specializations.. Time: 0:00:01 Points: 29   ⌜ # Computing specializations.. Time: 0:00:01 Points: 37   ⌝ # Computing specializations.. Time: 0:00:02 Points: 45   ⌟ # Computing specializations.. Time: 0:00:02 Points: 53   ⌞ # Computing specializations.. Time: 0:00:02 Points: 59   ⌜ # Computing specializations.. Time: 0:00:03 Points: 68   ⌝ # Computing specializations.. Time: 0:00:03 Points: 75   ⌟ # Computing specializations.. Time: 0:00:03 Points: 84   ⌞ # Computing specializations.. Time: 0:00:04 Points: 91   ⌜ # Computing specializations.. Time: 0:00:04 Points: 99   ⌝ # Computing specializations.. Time: 0:00:05 Points: 107   ⌟ # Computing specializations.. Time: 0:00:05 Points: 114   ⌞ # Computing specializations.. Time: 0:00:05 Points: 123   ⌜ # Computing specializations.. Time: 0:00:06 Points: 130   ⌝ # Computing specializations.. Time: 0:00:06 Points: 139   ⌟ # Computing specializations.. Time: 0:00:07 Points: 146   ⌞ # Computing specializations.. Time: 0:00:07 Points: 154   ⌜ # Computing specializations.. Time: 0:00:08 Points: 160   ⌝ # Computing specializations.. Time: 0:00:08 Points: 168   ⌟ # Computing specializations.. Time: 0:00:09 Points: 176   ⌞ # Computing specializations.. Time: 0:00:09 Points: 183   ⌜ # Computing specializations.. Time: 0:00:09 Points: 191   ⌝ # Computing specializations.. Time: 0:00:10 Points: 199   ⌟ # Computing specializations.. Time: 0:00:10 Points: 207   ⌞ # Computing specializations.. Time: 0:00:11 Points: 215   ⌜ # Computing specializations.. Time: 0:00:11 Points: 224   ⌝ # Computing specializations.. Time: 0:00:12 Points: 232   ⌟ # Computing specializations.. Time: 0:00:12 Points: 240   ⌞ # Computing specializations.. Time: 0:00:13 Points: 248   ⌜ # Computing specializations.. Time: 0:00:13 Points: 257   ⌝ # Computing specializations.. Time: 0:00:13 Points: 265   ⌟ # Computing specializations.. Time: 0:00:14 Points: 273   ⌞ # Computing specializations.. Time: 0:00:14 Points: 281   ⌜ # Computing specializations.. Time: 0:00:14 Points: 289   ⌝ # Computing specializations.. Time: 0:00:15 Points: 296   ⌟ # Computing specializations.. Time: 0:00:15 Points: 303   ⌞ # Computing specializations.. Time: 0:00:16 Points: 311   ⌜ # Computing specializations.. Time: 0:00:16 Points: 317   ⌝ # Computing specializations.. Time: 0:00:16 Points: 324   ⌟ # Computing specializations.. Time: 0:00:17 Points: 331   ⌞ # Computing specializations.. Time: 0:00:17 Points: 339   ⌜ # Computing specializations.. Time: 0:00:17 Points: 347   ⌝ # Computing specializations.. Time: 0:00:18 Points: 355   ⌟ # Computing specializations.. Time: 0:00:18 Points: 363   ⌞ # Computing specializations.. Time: 0:00:19 Points: 371   ⌜ # Computing specializations.. Time: 0:00:19 Points: 379   ⌝ # Computing specializations.. Time: 0:00:19 Points: 387   ⌟ # Computing specializations.. Time: 0:00:20 Points: 394   ⌞ # Computing specializations.. Time: 0:00:20 Points: 402   ⌜ # Computing specializations.. Time: 0:00:21 Points: 410   ⌝ # Computing specializations.. Time: 0:00:21 Points: 419   ⌟ # Computing specializations.. Time: 0:00:22 Points: 426   ⌞ # Computing specializations.. Time: 0:00:23 Points: 434   ⌜ # Computing specializations.. Time: 0:00:23 Points: 442   ⌝ # Computing specializations.. Time: 0:00:23 Points: 450   ⌟ # Computing specializations.. Time: 0:00:24 Points: 458   ⌞ # Computing specializations.. Time: 0:00:24 Points: 466   ⌜ # Computing specializations.. Time: 0:00:24 Points: 474   ⌝ # Computing specializations.. Time: 0:00:25 Points: 482   ⌟ # Computing specializations.. Time: 0:00:25 Points: 490   ⌞ # Computing specializations.. Time: 0:00:26 Points: 498   ⌜ # Computing specializations.. Time: 0:00:26 Points: 506   ⌝ # Computing specializations.. Time: 0:00:26 Points: 514   ⌟ # Computing specializations.. Time: 0:00:27 Points: 521   ⌞ # Computing specializations.. Time: 0:00:27 Points: 529   ⌜ # Computing specializations.. Time: 0:00:28 Points: 537   ⌝ # Computing specializations.. Time: 0:00:28 Points: 543   ⌟ # Computing specializations.. Time: 0:00:28 Points: 551   ⌞ # Computing specializations.. Time: 0:00:29 Points: 559   ⌜ # Computing specializations.. Time: 0:00:29 Points: 566   ⌝ # Computing specializations.. Time: 0:00:30 Points: 574   ⌟ # Computing specializations.. Time: 0:00:30 Points: 582   ⌞ # Computing specializations.. Time: 0:00:31 Points: 590   ⌜ # Computing specializations.. Time: 0:00:31 Points: 598   ⌝ # Computing specializations.. Time: 0:00:31 Points: 605   ⌟ # Computing specializations.. Time: 0:00:32 Points: 613   ⌞ # Computing specializations.. Time: 0:00:32 Points: 619   ⌜ # Computing specializations.. Time: 0:00:32 Points: 627   ⌝ # Computing specializations.. Time: 0:00:33 Points: 635   ✓ # Computing specializations.. Time: 0:00:33 [ Info: Search for polynomial generators concluded in 0.000356226 [ Info: Selecting generators in 0.056940466 [ Info: Inclusion checked with probability 0.995 in 8.609478462 seconds [ Info: The search for identifiable functions concluded in 73.314180014 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 2.999462617 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.111665714 seconds [ Info: Dimensions of the Wronskians [34, 2] [ Info: Ranks of the Wronskians computed in 0.000112659 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: 15   ⌟ # Computing specializations.. Time: 0:00:01 Points: 24   ⌞ # Computing specializations.. Time: 0:00:01 Points: 32   ⌜ # Computing specializations.. Time: 0:00:01 Points: 41   ⌝ # Computing specializations.. Time: 0:00:02 Points: 49   ⌟ # Computing specializations.. Time: 0:00:02 Points: 58   ⌞ # Computing specializations.. Time: 0:00:03 Points: 65   ⌜ # Computing specializations.. Time: 0:00:03 Points: 74   ⌝ # Computing specializations.. Time: 0:00:04 Points: 83   ⌟ # Computing specializations.. Time: 0:00:05 Points: 92   ✓ # Computing specializations.. Time: 0:00:05 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ⌝ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 8   ⌝ # 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: 41   ⌝ # Computing specializations.. Time: 0:00:02 Points: 49   ⌟ # Computing specializations.. Time: 0:00:02 Points: 57   ⌞ # Computing specializations.. Time: 0:00:02 Points: 66   ⌜ # Computing specializations.. Time: 0:00:03 Points: 73   ⌝ # Computing specializations.. Time: 0:00:03 Points: 82   ⌟ # Computing specializations.. Time: 0:00:04 Points: 90   ⌞ # Computing specializations.. Time: 0:00:04 Points: 99   ⌜ # Computing specializations.. Time: 0:00:05 Points: 108   ⌝ # Computing specializations.. Time: 0:00:05 Points: 116   ⌟ # Computing specializations.. Time: 0:00:05 Points: 124   ⌞ # Computing specializations.. Time: 0:00:06 Points: 131   ⌜ # Computing specializations.. Time: 0:00:06 Points: 139   ⌝ # Computing specializations.. Time: 0:00:06 Points: 147   ⌟ # Computing specializations.. Time: 0:00:07 Points: 156   ⌞ # Computing specializations.. Time: 0:00:07 Points: 164   ⌜ # Computing specializations.. Time: 0:00:07 Points: 173   ⌝ # Computing specializations.. Time: 0:00:08 Points: 182   ⌟ # Computing specializations.. Time: 0:00:08 Points: 191   ⌞ # Computing specializations.. Time: 0:00:10 Points: 200   ⌜ # Computing specializations.. Time: 0:00:10 Points: 209   ⌝ # Computing specializations.. Time: 0:00:10 Points: 218   ⌟ # Computing specializations.. Time: 0:00:11 Points: 227   ⌞ # Computing specializations.. Time: 0:00:11 Points: 236   ⌜ # Computing specializations.. Time: 0:00:11 Points: 245   ⌝ # Computing specializations.. Time: 0:00:12 Points: 254   ⌟ # Computing specializations.. Time: 0:00:12 Points: 263   ⌞ # Computing specializations.. Time: 0:00:13 Points: 271   ⌜ # Computing specializations.. Time: 0:00:13 Points: 279   ⌝ # Computing specializations.. Time: 0:00:13 Points: 288   ⌟ # Computing specializations.. Time: 0:00:14 Points: 295   ⌞ # Computing specializations.. Time: 0:00:14 Points: 304   ⌜ # Computing specializations.. Time: 0:00:15 Points: 313   ⌝ # Computing specializations.. Time: 0:00:15 Points: 321   ⌟ # Computing specializations.. Time: 0:00:15 Points: 328   ⌞ # Computing specializations.. Time: 0:00:16 Points: 337   ⌜ # Computing specializations.. Time: 0:00:16 Points: 345   ⌝ # Computing specializations.. Time: 0:00:17 Points: 354   ⌟ # Computing specializations.. Time: 0:00:17 Points: 363   ⌞ # Computing specializations.. Time: 0:00:17 Points: 371   ⌜ # Computing specializations.. Time: 0:00:18 Points: 379   ⌝ # Computing specializations.. Time: 0:00:18 Points: 387   ⌟ # Computing specializations.. Time: 0:00:19 Points: 396   ⌞ # Computing specializations.. Time: 0:00:19 Points: 405   ⌜ # Computing specializations.. Time: 0:00:19 Points: 414   ⌝ # Computing specializations.. Time: 0:00:20 Points: 423   ⌟ # Computing specializations.. Time: 0:00:20 Points: 430   ⌞ # Computing specializations.. Time: 0:00:20 Points: 438   ⌜ # Computing specializations.. Time: 0:00:21 Points: 446   ⌝ # Computing specializations.. Time: 0:00:21 Points: 455   ⌟ # Computing specializations.. Time: 0:00:22 Points: 463   ⌞ # Computing specializations.. Time: 0:00:22 Points: 473   ⌜ # Computing specializations.. Time: 0:00:23 Points: 481   ⌝ # Computing specializations.. Time: 0:00:24 Points: 490   ⌟ # Computing specializations.. Time: 0:00:24 Points: 499   ⌞ # Computing specializations.. Time: 0:00:24 Points: 507   ⌜ # Computing specializations.. Time: 0:00:25 Points: 516   ⌝ # Computing specializations.. Time: 0:00:25 Points: 524   ⌟ # Computing specializations.. Time: 0:00:25 Points: 532   ⌞ # Computing specializations.. Time: 0:00:26 Points: 541   ⌜ # Computing specializations.. Time: 0:00:27 Points: 550   ⌝ # Computing specializations.. Time: 0:00:27 Points: 559   ⌟ # Computing specializations.. Time: 0:00:27 Points: 567   ⌞ # Computing specializations.. Time: 0:00:28 Points: 576   ⌜ # Computing specializations.. Time: 0:00:28 Points: 584   ⌝ # Computing specializations.. Time: 0:00:29 Points: 592   ⌟ # Computing specializations.. Time: 0:00:29 Points: 601   ⌞ # Computing specializations.. Time: 0:00:29 Points: 609   ⌜ # Computing specializations.. Time: 0:00:30 Points: 617   ⌝ # Computing specializations.. Time: 0:00:30 Points: 626   ⌟ # Computing specializations.. Time: 0:00:30 Points: 635   ✓ # Computing specializations.. Time: 0:00:31 [ Info: Search for polynomial generators concluded in 2.281572952 [ Info: Selecting generators in 0.046073866 [ Info: Inclusion checked with probability 0.995 in 9.507572493 seconds [ Info: The search for identifiable functions concluded in 67.951930792 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[T, Dd, T*a + T*d + T*dr + e + g - r - rR, (d*rR - dr*r)//(d - dr), (a*r - a*rR + d*e + d*g - dr*e - dr*g)//(d - dr), (a^2 + 2*a*d + d^2 + dr^2)//(a*dr + d*dr), (a*dr*r - a*dr*rR + d^2*g + d*dr*e - d*dr*g - dr^2*e)//(a*d - a*dr + d^2 - dr^2)] │ case = │ (ode = S'(t) = -S(t)*W(t)*a - S(t)*W(t)*d - S(t)*e + S(t)*r + R(t)*g │ R'(t) = S(t)*W(t)*a + S(t)*e - R(t)*W(t)*dr - R(t)*g + R(t)*rR │ W'(t) = -W(t)*Dd + Dd*T │ y1(t) = S(t) + R(t) │ y2(t) = T │ , ident_funcs = AbstractAlgebra.RingElem[T, Dd, T*a + T*d + T*dr + e + g - r - rR, (d*rR - dr*r)//(d - dr), (a^2 + 2*a*d + d^2 + dr^2)//(a*dr + d*dr), (a*r - a*rR + d*e + d*g - dr*e - dr*g)//(d - dr), (a*dr*r - a*dr*rR + d^2*g + d*dr*e - d*dr*g - dr^2*e)//(a*d - a*dr + d^2 - dr^2)]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 14 variables S(t), R(t), W(t), y1(t), ..., rR │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[S(t), R(t), W(t), y1(t), y2(t), Dd, T, a, d, dr, e, g, r, rR] [ Info: Computing IO-equations [ Info: Computed IO-equations in 3.038800086 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.095232475 seconds [ Info: Dimensions of the Wronskians [34, 2] [ Info: Ranks of the Wronskians computed in 8.2659e-5 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 5   ⌝ # Computing specializations.. Time: 0:00:00 Points: 14   ⌟ # Computing specializations.. Time: 0:00:01 Points: 23   ⌞ # Computing specializations.. Time: 0:00:01 Points: 32   ⌜ # Computing specializations.. Time: 0:00:01 Points: 41   ⌝ # Computing specializations.. Time: 0:00:02 Points: 50   ⌟ # Computing specializations.. Time: 0:00:02 Points: 59   ⌞ # Computing specializations.. Time: 0:00:03 Points: 68   ⌜ # Computing specializations.. Time: 0:00:03 Points: 77   ⌝ # Computing specializations.. Time: 0:00:03 Points: 86   ⌟ # Computing specializations.. Time: 0:00:04 Points: 95   ✓ # Computing specializations.. Time: 0:00:04 ⌜ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 ⌝ # Computing specializations.. Time: 0:00:00 ✓ # Computing specializations.. Time: 0:00:00 ⌜ # Computing specializations.. Time: 0:00:00 Points: 9   ⌝ # Computing specializations.. Time: 0:00:00 Points: 17   ⌟ # Computing specializations.. Time: 0:00:01 Points: 25   ⌞ # Computing specializations.. Time: 0:00:01 Points: 34   ⌜ # Computing specializations.. Time: 0:00:01 Points: 43   ⌝ # Computing specializations.. Time: 0:00:02 Points: 51   ⌟ # Computing specializations.. Time: 0:00:02 Points: 60   ⌞ # Computing specializations.. Time: 0:00:03 Points: 69   ⌜ # Computing specializations.. Time: 0:00:03 Points: 78   ⌝ # Computing specializations.. Time: 0:00:03 Points: 87   ⌟ # Computing specializations.. Time: 0:00:04 Points: 96   ⌞ # Computing specializations.. Time: 0:00:04 Points: 105   ⌜ # Computing specializations.. Time: 0:00:05 Points: 113   ⌝ # Computing specializations.. Time: 0:00:05 Points: 122   ⌟ # Computing specializations.. Time: 0:00:05 Points: 129   ⌞ # Computing specializations.. Time: 0:00:06 Points: 138   ⌜ # Computing specializations.. Time: 0:00:06 Points: 146   ⌝ # Computing specializations.. Time: 0:00:06 Points: 155   ⌟ # Computing specializations.. Time: 0:00:07 Points: 164   ⌞ # Computing specializations.. Time: 0:00:07 Points: 173   ⌜ # Computing specializations.. Time: 0:00:08 Points: 182   ⌝ # Computing specializations.. Time: 0:00:08 Points: 191   ⌟ # Computing specializations.. Time: 0:00:09 Points: 199   ⌞ # Computing specializations.. Time: 0:00:09 Points: 208   ⌜ # Computing specializations.. Time: 0:00:09 Points: 215   ⌝ # Computing specializations.. Time: 0:00:10 Points: 224   ⌟ # Computing specializations.. Time: 0:00:10 Points: 233   ⌞ # Computing specializations.. Time: 0:00:11 Points: 243   ⌜ # Computing specializations.. Time: 0:00:12 Points: 251   ⌝ # Computing specializations.. Time: 0:00:12 Points: 257   ⌟ # Computing specializations.. Time: 0:00:13 Points: 266   ⌞ # Computing specializations.. Time: 0:00:13 Points: 272   ⌜ # Computing specializations.. Time: 0:00:14 Points: 278   ⌝ # Computing specializations.. Time: 0:00:14 Points: 286   ⌟ # Computing specializations.. Time: 0:00:14 Points: 295   ⌞ # Computing specializations.. Time: 0:00:15 Points: 304   ⌜ # Computing specializations.. Time: 0:00:15 Points: 314   ⌝ # Computing specializations.. Time: 0:00:16 Points: 322   ⌟ # Computing specializations.. Time: 0:00:16 Points: 331   ⌞ # Computing specializations.. Time: 0:00:17 Points: 340   ⌜ # Computing specializations.. Time: 0:00:17 Points: 348   ⌝ # Computing specializations.. Time: 0:00:17 Points: 357   ⌟ # Computing specializations.. Time: 0:00:18 Points: 364   ⌞ # Computing specializations.. Time: 0:00:18 Points: 373   ⌜ # Computing specializations.. Time: 0:00:18 Points: 381   ⌝ # Computing specializations.. Time: 0:00:19 Points: 390   ⌟ # Computing specializations.. Time: 0:00:19 Points: 399   ⌞ # Computing specializations.. Time: 0:00:20 Points: 408   ⌜ # Computing specializations.. Time: 0:00:20 Points: 416   ⌝ # Computing specializations.. Time: 0:00:20 Points: 425   ⌟ # Computing specializations.. Time: 0:00:21 Points: 434   ⌞ # Computing specializations.. Time: 0:00:21 Points: 442   ⌜ # Computing specializations.. Time: 0:00:22 Points: 451   ⌝ # Computing specializations.. Time: 0:00:22 Points: 459   ⌟ # Computing specializations.. Time: 0:00:22 Points: 468   ⌞ # Computing specializations.. Time: 0:00:23 Points: 477   ⌜ # Computing specializations.. Time: 0:00:23 Points: 486   ⌝ # Computing specializations.. Time: 0:00:24 Points: 495   ⌟ # Computing specializations.. Time: 0:00:24 Points: 504   ⌞ # Computing specializations.. Time: 0:00:24 Points: 513   ⌜ # Computing specializations.. Time: 0:00:25 Points: 522   ⌝ # Computing specializations.. Time: 0:00:25 Points: 531   ⌟ # Computing specializations.. Time: 0:00:26 Points: 539   ⌞ # Computing specializations.. Time: 0:00:26 Points: 548   ⌜ # Computing specializations.. Time: 0:00:27 Points: 556   ⌝ # Computing specializations.. Time: 0:00:27 Points: 565   ⌟ # Computing specializations.. Time: 0:00:28 Points: 573   ⌞ # Computing specializations.. Time: 0:00:28 Points: 582   ⌜ # Computing specializations.. Time: 0:00:28 Points: 591   ⌝ # Computing specializations.. Time: 0:00:29 Points: 600   ⌟ # Computing specializations.. Time: 0:00:29 Points: 609   ⌞ # Computing specializations.. Time: 0:00:30 Points: 617   ⌜ # Computing specializations.. Time: 0:00:30 Points: 626   ⌝ # Computing specializations.. Time: 0:00:31 Points: 634   ✓ # Computing specializations.. Time: 0:00:31 [ Info: Search for polynomial generators concluded in 2.690142532 [ Info: Selecting generators in 0.045818924 [ Info: Inclusion checked with probability 0.995 in 8.665557215 seconds [ Info: The search for identifiable functions concluded in 67.659796417 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[T, Dd, T*a + T*d + T*dr + e + g - r - rR, (d*rR - dr*r)//(d - dr), (a*r - a*rR + d*e + d*g - dr*e - dr*g)//(d - dr), (a^2 + 2*a*d + d^2 + dr^2)//(a*dr + d*dr), (a*dr*r - a*dr*rR + d^2*g + d*dr*e - d*dr*g - dr^2*e)//(a*d - a*dr + d^2 - dr^2)] │ case = │ (ode = S'(t) = -S(t)*W(t)*a - S(t)*W(t)*d - S(t)*e + S(t)*r + R(t)*g │ R'(t) = S(t)*W(t)*a + S(t)*e - R(t)*W(t)*dr - R(t)*g + R(t)*rR │ W'(t) = -W(t)*Dd + Dd*T │ y1(t) = S(t) + R(t) │ y2(t) = T │ , ident_funcs = AbstractAlgebra.RingElem[T, Dd, T*a + T*d + T*dr + e + g - r - rR, (d*rR - dr*r)//(d - dr), (a^2 + 2*a*d + d^2 + dr^2)//(a*dr + d*dr), (a*r - a*rR + d*e + d*g - dr*e - dr*g)//(d - dr), (a*dr*r - a*dr*rR + d^2*g + d*dr*e - d*dr*g - dr^2*e)//(a*d - a*dr + d^2 - dr^2)]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 14 variables S(t), R(t), W(t), y1(t), ..., rR │ over rational field └ with_states = false [ Info: Nemo.QQMPolyRingElem[S(t), R(t), W(t), y1(t), y2(t), Dd, T, a, d, dr, e, g, r, rR] [ Info: Computing IO-equations [ Info: Computed IO-equations in 3.836005099 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.078677911 seconds [ Info: Dimensions of the Wronskians [34, 2] [ Info: Ranks of the Wronskians computed in 9.9188e-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: 13   ⌟ # Computing specializations.. Time: 0:00:01 Points: 21   ⌞ # Computing specializations.. Time: 0:00:01 Points: 30   ⌜ # Computing specializations.. Time: 0:00:01 Points: 37   ⌝ # Computing specializations.. Time: 0:00:02 Points: 46   ⌟ # Computing specializations.. Time: 0:00:02 Points: 53   ⌞ # Computing specializations.. Time: 0:00:03 Points: 62   ⌜ # Computing specializations.. Time: 0:00:03 Points: 70   ⌝ # Computing specializations.. Time: 0:00:03 Points: 78   ⌟ # Computing specializations.. Time: 0:00:04 Points: 85   ⌞ # 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 ⌜ # Computing specializations.. Time: 0:00:00 Points: 7   ⌝ # Computing specializations.. Time: 0:00:00 Points: 15   ⌟ # Computing specializations.. Time: 0:00:01 Points: 23   ⌞ # Computing specializations.. Time: 0:00:01 Points: 31   ⌜ # Computing specializations.. Time: 0:00:01 Points: 39   ⌝ # Computing specializations.. Time: 0:00:02 Points: 46   ⌟ # Computing specializations.. Time: 0:00:02 Points: 54   ⌞ # Computing specializations.. Time: 0:00:04 Points: 61   ⌜ # Computing specializations.. Time: 0:00:04 Points: 69   ⌝ # Computing specializations.. Time: 0:00:04 Points: 77   ⌟ # Computing specializations.. Time: 0:00:05 Points: 85   ⌞ # Computing specializations.. Time: 0:00:05 Points: 93   ⌜ # Computing specializations.. Time: 0:00:05 Points: 101   ⌝ # Computing specializations.. Time: 0:00:06 Points: 109   ⌟ # Computing specializations.. Time: 0:00:06 Points: 118   ⌞ # Computing specializations.. Time: 0:00:07 Points: 127   ⌜ # Computing specializations.. Time: 0:00:07 Points: 135   ⌝ # Computing specializations.. Time: 0:00:07 Points: 143   ⌟ # Computing specializations.. Time: 0:00:08 Points: 151   ⌞ # Computing specializations.. Time: 0:00:08 Points: 157   ⌜ # Computing specializations.. Time: 0:00:09 Points: 165   ⌝ # Computing specializations.. Time: 0:00:09 Points: 173   ⌟ # Computing specializations.. Time: 0:00:10 Points: 181   ⌞ # Computing specializations.. Time: 0:00:10 Points: 189   ⌜ # Computing specializations.. Time: 0:00:10 Points: 197   ⌝ # Computing specializations.. Time: 0:00:11 Points: 204   ⌟ # Computing specializations.. Time: 0:00:11 Points: 212   ⌞ # Computing specializations.. Time: 0:00:11 Points: 220   ⌜ # Computing specializations.. Time: 0:00:12 Points: 227   ⌝ # Computing specializations.. Time: 0:00:12 Points: 235   ⌟ # Computing specializations.. Time: 0:00:13 Points: 243   ⌞ # Computing specializations.. Time: 0:00:13 Points: 251   ⌜ # Computing specializations.. Time: 0:00:13 Points: 259   ⌝ # Computing specializations.. Time: 0:00:14 Points: 266   ⌟ # Computing specializations.. Time: 0:00:14 Points: 274   ⌞ # Computing specializations.. Time: 0:00:14 Points: 280   ⌜ # Computing specializations.. Time: 0:00:15 Points: 288   ⌝ # Computing specializations.. Time: 0:00:15 Points: 296   ⌟ # Computing specializations.. Time: 0:00:16 Points: 304   ⌞ # Computing specializations.. Time: 0:00:16 Points: 312   ⌜ # Computing specializations.. Time: 0:00:16 Points: 321   ⌝ # Computing specializations.. Time: 0:00:17 Points: 329   ⌟ # Computing specializations.. Time: 0:00:18 Points: 335   ⌞ # Computing specializations.. Time: 0:00:18 Points: 344   ⌜ # Computing specializations.. Time: 0:00:19 Points: 352   ⌝ # Computing specializations.. Time: 0:00:19 Points: 360   ⌟ # Computing specializations.. Time: 0:00:19 Points: 368   ⌞ # Computing specializations.. Time: 0:00:20 Points: 376   ⌜ # Computing specializations.. Time: 0:00:20 Points: 385   ⌝ # Computing specializations.. Time: 0:00:21 Points: 392   ⌟ # Computing specializations.. Time: 0:00:21 Points: 399   ⌞ # Computing specializations.. Time: 0:00:21 Points: 406   ⌜ # Computing specializations.. Time: 0:00:22 Points: 414   ⌝ # Computing specializations.. Time: 0:00:22 Points: 422   ⌟ # Computing specializations.. Time: 0:00:23 Points: 431   ⌞ # Computing specializations.. Time: 0:00:23 Points: 438   ⌜ # Computing specializations.. Time: 0:00:23 Points: 446   ⌝ # Computing specializations.. Time: 0:00:24 Points: 452   ⌟ # Computing specializations.. Time: 0:00:24 Points: 460   ⌞ # Computing specializations.. Time: 0:00:24 Points: 468   ⌜ # Computing specializations.. Time: 0:00:25 Points: 475   ⌝ # Computing specializations.. Time: 0:00:25 Points: 483   ⌟ # Computing specializations.. Time: 0:00:26 Points: 491   ⌞ # Computing specializations.. Time: 0:00:26 Points: 500   ⌜ # Computing specializations.. Time: 0:00:26 Points: 507   ⌝ # Computing specializations.. Time: 0:00:27 Points: 514   ⌟ # Computing specializations.. Time: 0:00:27 Points: 522   ⌞ # Computing specializations.. Time: 0:00:28 Points: 529   ⌜ # Computing specializations.. Time: 0:00:28 Points: 537   ⌝ # Computing specializations.. Time: 0:00:28 Points: 545   ⌟ # Computing specializations.. Time: 0:00:29 Points: 552   ⌞ # Computing specializations.. Time: 0:00:29 Points: 560   ⌜ # Computing specializations.. Time: 0:00:29 Points: 567   ⌝ # Computing specializations.. Time: 0:00:30 Points: 575   ⌟ # Computing specializations.. Time: 0:00:30 Points: 583   ⌞ # Computing specializations.. Time: 0:00:31 Points: 592   ⌜ # Computing specializations.. Time: 0:00:31 Points: 600   ⌝ # Computing specializations.. Time: 0:00:32 Points: 606   ⌟ # Computing specializations.. Time: 0:00:32 Points: 614   ⌞ # Computing specializations.. Time: 0:00:33 Points: 622   ⌜ # Computing specializations.. Time: 0:00:33 Points: 630   ⌝ # Computing specializations.. Time: 0:00:33 Points: 638   ✓ # Computing specializations.. Time: 0:00:34 [ Info: Search for polynomial generators concluded in 1.888166561 [ Info: Selecting generators in 0.057751586 [ Info: Inclusion checked with probability 0.995 in 8.20811524 seconds [ Info: The search for identifiable functions concluded in 69.773347512 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 0.001370844 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000100549 [ Info: Selecting generators in 0.000143818 [ Info: Inclusion checked with probability 0.995 in 0.002036525 seconds [ Info: The search for identifiable functions concluded in 0.018069663 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 0.001097057 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000111358 [ Info: Selecting generators in 0.000167498 [ Info: Inclusion checked with probability 0.995 in 0.002065516 seconds [ Info: The search for identifiable functions concluded in 0.008981272 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 0.001007208 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.8279e-5 [ Info: Selecting generators in 0.000152408 [ Info: Inclusion checked with probability 0.995 in 0.002112635 seconds [ Info: The search for identifiable functions concluded in 0.008661116 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 0.001033758 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000607803 [ Info: Selecting generators in 0.000174048 [ Info: Inclusion checked with probability 0.995 in 0.002085585 seconds [ Info: The search for identifiable functions concluded in 0.00915106 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 0.000944179 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000437795 [ Info: Selecting generators in 0.000151938 [ Info: Inclusion checked with probability 0.995 in 0.002025276 seconds [ Info: The search for identifiable functions concluded in 0.008341619 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 0.000902549 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000433505 [ Info: Selecting generators in 0.000157458 [ Info: Inclusion checked with probability 0.995 in 0.002171944 seconds [ Info: The search for identifiable functions concluded in 0.008629816 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 0.001305474 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001167106 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.696e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000405055 [ Info: Selecting generators in 0.000713532 [ Info: Inclusion checked with probability 0.995 in 0.001977467 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.4389e-5 [ Info: Selecting generators in 0.000528694 [ Info: Inclusion checked with probability 0.995 in 0.002336702 seconds [ Info: The search for identifiable functions concluded in 0.019645334 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 0.001333394 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000975558 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.007e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000430735 [ Info: Selecting generators in 0.000670532 [ Info: Inclusion checked with probability 0.995 in 0.001791399 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.1049e-5 [ Info: Selecting generators in 0.000443165 [ Info: Inclusion checked with probability 0.995 in 0.002330932 seconds [ Info: The search for identifiable functions concluded in 0.018666976 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 0.001076777 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00087788 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.697e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000423995 [ Info: Selecting generators in 0.000652272 [ Info: Inclusion checked with probability 0.995 in 0.001789229 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.1399e-5 [ Info: Selecting generators in 0.000439554 [ Info: Inclusion checked with probability 0.995 in 0.002329202 seconds [ Info: The search for identifiable functions concluded in 0.018009233 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 0.001081867 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000876099 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.907e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000404535 [ Info: Selecting generators in 0.000713161 [ Info: Inclusion checked with probability 0.995 in 0.001744349 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.116689606 [ Info: Selecting generators in 0.000557213 [ Info: Inclusion checked with probability 0.995 in 0.002444771 seconds [ Info: The search for identifiable functions concluded in 0.134855277 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 0.001082017 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00080801 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.8539e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000390795 [ Info: Selecting generators in 0.000574433 [ Info: Inclusion checked with probability 0.995 in 0.001715059 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000567123 [ Info: Selecting generators in 0.000418295 [ Info: Inclusion checked with probability 0.995 in 0.002146034 seconds [ Info: The search for identifiable functions concluded in 0.017248593 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 0.001089697 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00082263 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.7839e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000401595 [ Info: Selecting generators in 0.000644532 [ Info: Inclusion checked with probability 0.995 in 0.001802948 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000560923 [ Info: Selecting generators in 0.000441555 [ Info: Inclusion checked with probability 0.995 in 0.002107185 seconds [ Info: The search for identifiable functions concluded in 0.017728347 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 0.002181404 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00166594 seconds [ Info: Dimensions of the Wronskians [5] [ 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 0.006792869 [ Info: Selecting generators in 0.002200213 [ Info: Inclusion checked with probability 0.995 in 0.0033084 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000127249 [ Info: Selecting generators in 0.003096843 [ Info: Inclusion checked with probability 0.995 in 0.005011879 seconds [ Info: The search for identifiable functions concluded in 0.045975397 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 0.002226523 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001737189 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.98e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.008674716 [ Info: Selecting generators in 0.002345442 [ Info: Inclusion checked with probability 0.995 in 0.003444658 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000124268 [ Info: Selecting generators in 0.003353219 [ Info: Inclusion checked with probability 0.995 in 0.005441214 seconds [ Info: The search for identifiable functions concluded in 0.051289893 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 0.002516839 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001960356 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.061e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.007994474 [ Info: Selecting generators in 0.002366451 [ Info: Inclusion checked with probability 0.995 in 0.003167202 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000140508 [ Info: Selecting generators in 0.00409114 [ Info: Inclusion checked with probability 0.995 in 0.005620282 seconds [ Info: The search for identifiable functions concluded in 0.051653228 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 0.002869235 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002264943 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.858e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.009212169 [ Info: Selecting generators in 0.003595897 [ Info: Inclusion checked with probability 0.995 in 0.004510856 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.030547892 [ Info: Selecting generators in 0.003973122 [ Info: Inclusion checked with probability 0.995 in 0.005665332 seconds [ Info: The search for identifiable functions concluded in 0.093735361 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 0.002552589 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002013985 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.508e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.008423138 [ Info: Selecting generators in 0.0025236 [ Info: Inclusion checked with probability 0.995 in 0.003524748 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.029153289 [ Info: Selecting generators in 0.004611344 [ Info: Inclusion checked with probability 0.995 in 0.006075917 seconds [ Info: The search for identifiable functions concluded in 0.084321375 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 0.00251826 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001985486 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.79e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.007707387 [ Info: Selecting generators in 0.00244963 [ Info: Inclusion checked with probability 0.995 in 0.003343189 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.028616266 [ Info: Selecting generators in 0.003539147 [ Info: Inclusion checked with probability 0.995 in 0.005273456 seconds [ Info: The search for identifiable functions concluded in 0.080126825 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 0.002262872 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001777599 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.067e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.0074992 [ Info: Selecting generators in 0.002412451 [ Info: Inclusion checked with probability 0.995 in 0.003665326 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000132308 [ Info: Selecting generators in 0.003431139 [ Info: Inclusion checked with probability 0.995 in 0.005508444 seconds [ Info: The search for identifiable functions concluded in 0.050490732 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 0.002558589 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002133394 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.31e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.00835156 [ Info: Selecting generators in 0.002809286 [ Info: Inclusion checked with probability 0.995 in 0.003850774 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000122718 [ Info: Selecting generators in 0.003464879 [ Info: Inclusion checked with probability 0.995 in 0.006224535 seconds [ Info: The search for identifiable functions concluded in 0.057259501 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 0.002821376 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001983026 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.957e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.008040953 [ Info: Selecting generators in 0.00253856 [ Info: Inclusion checked with probability 0.995 in 0.003626447 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000145588 [ Info: Selecting generators in 0.003730185 [ Info: Inclusion checked with probability 0.995 in 0.005504264 seconds [ Info: The search for identifiable functions concluded in 0.053264598 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 0.002359962 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001856658 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.9739e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.007646737 [ Info: Selecting generators in 0.00246991 [ Info: Inclusion checked with probability 0.995 in 0.003618337 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.02825361 [ Info: Selecting generators in 0.003809614 [ Info: Inclusion checked with probability 0.995 in 0.006232045 seconds [ Info: The search for identifiable functions concluded in 0.081637108 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 0.002912215 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001985776 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.151e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.007668348 [ Info: Selecting generators in 0.002814896 [ Info: Inclusion checked with probability 0.995 in 0.004220139 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.027963044 [ Info: Selecting generators in 0.003733625 [ Info: Inclusion checked with probability 0.995 in 0.005763301 seconds [ Info: The search for identifiable functions concluded in 0.085975015 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 0.002403411 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001967427 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.621e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.007569979 [ Info: Selecting generators in 0.0024759 [ Info: Inclusion checked with probability 0.995 in 0.004083071 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.031021696 [ Info: Selecting generators in 0.003869613 [ Info: Inclusion checked with probability 0.995 in 0.006052477 seconds [ Info: The search for identifiable functions concluded in 0.087016652 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 0.007980154 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006151016 seconds [ Info: Dimensions of the Wronskians [13] [ 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 0.002342852 [ Info: Selecting generators in 0.01160949 [ Info: Inclusion checked with probability 0.995 in 0.007628299 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000184157 [ Info: Selecting generators in 0.014442776 [ Info: Inclusion checked with probability 0.995 in 0.012050554 seconds [ Info: The search for identifiable functions concluded in 0.270713591 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 0.007947635 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00576535 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 2.954e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002439411 [ Info: Selecting generators in 0.011333753 [ Info: Inclusion checked with probability 0.995 in 0.00660006 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000173268 [ Info: Selecting generators in 0.013935902 [ Info: Inclusion checked with probability 0.995 in 0.011380593 seconds [ Info: The search for identifiable functions concluded in 0.122797651 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 0.007820866 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00581747 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.006e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002328662 [ Info: Selecting generators in 0.010570943 [ Info: Inclusion checked with probability 0.995 in 0.006775369 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000171438 [ Info: Selecting generators in 0.01414105 [ Info: Inclusion checked with probability 0.995 in 0.011495592 seconds [ Info: The search for identifiable functions concluded in 0.122624493 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 0.007882575 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006248975 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.189e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002376892 [ Info: Selecting generators in 0.010454674 [ Info: Inclusion checked with probability 0.995 in 0.007001866 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.004447957 [ Info: Selecting generators in 0.013590736 [ Info: Inclusion checked with probability 0.995 in 0.010954718 seconds [ Info: The search for identifiable functions concluded in 0.126361368 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 0.00753344 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005572593 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 2.998e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002474001 [ Info: Selecting generators in 0.011667629 [ Info: Inclusion checked with probability 0.995 in 0.006999146 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.005369706 [ Info: Selecting generators in 0.013960122 [ Info: Inclusion checked with probability 0.995 in 0.011177565 seconds [ Info: The search for identifiable functions concluded in 0.12792316 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 0.007360251 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00583573 seconds [ Info: Dimensions of the Wronskians [13] [ Info: Ranks of the Wronskians computed in 3.198e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.00247337 [ Info: Selecting generators in 0.011812328 [ Info: Inclusion checked with probability 0.995 in 0.006308044 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.004834512 [ Info: Selecting generators in 0.013637595 [ Info: Inclusion checked with probability 0.995 in 0.867284867 seconds [ Info: The search for identifiable functions concluded in 0.989124 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 0.002287933 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001539922 seconds [ Info: Dimensions of the Wronskians [1] [ 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 9.9939e-5 [ Info: Selecting generators in 0.000702001 [ Info: Inclusion checked with probability 0.995 in 0.003323111 seconds [ Info: The search for identifiable functions concluded in 0.017254292 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 0.002277493 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001342594 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 2.057e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.4409e-5 [ Info: Selecting generators in 0.000718352 [ Info: Inclusion checked with probability 0.995 in 0.003460698 seconds [ Info: The search for identifiable functions concluded in 0.01664655 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 0.002348682 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001376903 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.9569e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.6729e-5 [ Info: Selecting generators in 0.000607203 [ Info: Inclusion checked with probability 0.995 in 0.00334855 seconds [ Info: The search for identifiable functions concluded in 0.01659507 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 0.002219303 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001390013 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.903e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006189346 [ Info: Selecting generators in 0.000730471 [ Info: Inclusion checked with probability 0.995 in 0.002969504 seconds [ Info: The search for identifiable functions concluded in 0.022171553 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 0.002190704 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001272405 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.668e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.005369295 [ Info: Selecting generators in 0.000730401 [ Info: Inclusion checked with probability 0.995 in 0.002869926 seconds [ Info: The search for identifiable functions concluded in 0.020572052 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 0.002062615 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001280255 seconds [ Info: Dimensions of the Wronskians [1] [ Info: Ranks of the Wronskians computed in 1.6219e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.005934678 [ Info: Selecting generators in 0.00080838 [ Info: Inclusion checked with probability 0.995 in 0.0033794 seconds [ Info: The search for identifiable functions concluded in 0.021567861 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 0.003952532 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002614849 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.891e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002753347 [ Info: Selecting generators in 0.001068757 [ Info: Inclusion checked with probability 0.995 in 0.00243455 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000137129 [ Info: Selecting generators in 0.005909329 [ Info: Inclusion checked with probability 0.995 in 0.004597205 seconds [ Info: The search for identifiable functions concluded in 0.04401448 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x1(t), C*α, x3(t)*α, x2(t)*α] │ case = │ (ode = x1'(t) = x2(t)*α │ x2'(t) = x3(t) │ x3'(t) = C │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), x2(t)*α, x3(t)*α, C*α]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 6 variables x1(t), x2(t), x3(t), y(t), ..., α │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003593537 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002343502 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.575e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006935176 [ Info: Selecting generators in 0.001069208 [ Info: Inclusion checked with probability 0.995 in 0.002842966 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000139259 [ Info: Selecting generators in 0.005979158 [ Info: Inclusion checked with probability 0.995 in 0.004637464 seconds [ Info: The search for identifiable functions concluded in 0.046346031 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x1(t), C*α, x3(t)*α, x2(t)*α] │ case = │ (ode = x1'(t) = x2(t)*α │ x2'(t) = x3(t) │ x3'(t) = C │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), x2(t)*α, x3(t)*α, C*α]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 6 variables x1(t), x2(t), x3(t), y(t), ..., α │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003698896 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002308712 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.044e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002948754 [ Info: Selecting generators in 0.001042698 [ Info: Inclusion checked with probability 0.995 in 0.002333842 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000153589 [ Info: Selecting generators in 0.006051987 [ Info: Inclusion checked with probability 0.995 in 0.005045269 seconds [ Info: The search for identifiable functions concluded in 0.044039349 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x1(t), C*α, x3(t)*α, x2(t)*α] │ case = │ (ode = x1'(t) = x2(t)*α │ x2'(t) = x3(t) │ x3'(t) = C │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), x2(t)*α, x3(t)*α, C*α]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 6 variables x1(t), x2(t), x3(t), y(t), ..., α │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003595627 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002363352 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.084e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002768747 [ Info: Selecting generators in 0.000977189 [ Info: Inclusion checked with probability 0.995 in 0.002327652 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.03487866 [ Info: Selecting generators in 0.006311404 [ Info: Inclusion checked with probability 0.995 in 0.004796492 seconds [ Info: The search for identifiable functions concluded in 0.078263817 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x1(t), C*α, x3(t)*α, x2(t)*α] │ case = │ (ode = x1'(t) = x2(t)*α │ x2'(t) = x3(t) │ x3'(t) = C │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), x2(t)*α, x3(t)*α, C*α]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 6 variables x1(t), x2(t), x3(t), y(t), ..., α │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), C, α] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003559138 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002251693 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.029e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002733647 [ Info: Selecting generators in 0.000972518 [ Info: Inclusion checked with probability 0.995 in 0.002120534 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.039946479 [ Info: Selecting generators in 0.005732461 [ Info: Inclusion checked with probability 0.995 in 0.004517285 seconds [ Info: The search for identifiable functions concluded in 0.080622889 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x1(t), C*α, x3(t)*α, x2(t)*α] │ case = │ (ode = x1'(t) = x2(t)*α │ x2'(t) = x3(t) │ x3'(t) = C │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), x2(t)*α, x3(t)*α, C*α]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 6 variables x1(t), x2(t), x3(t), y(t), ..., α │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), C, α] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003570257 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002216363 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.9339e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002703197 [ Info: Selecting generators in 0.000981208 [ Info: Inclusion checked with probability 0.995 in 0.002396621 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.032825395 [ Info: Selecting generators in 0.005310086 [ Info: Inclusion checked with probability 0.995 in 0.004422167 seconds [ Info: The search for identifiable functions concluded in 0.07382858 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x1(t), C*α, x3(t)*α, x2(t)*α] │ case = │ (ode = x1'(t) = x2(t)*α │ x2'(t) = x3(t) │ x3'(t) = C │ y(t) = x1(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[x1(t), x2(t)*α, x3(t)*α, C*α]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 6 variables x1(t), x2(t), x3(t), y(t), ..., α │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), C, α] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002261383 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001312635 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.01e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000456624 [ Info: Selecting generators in 0.000693791 [ Info: Inclusion checked with probability 0.995 in 0.001888147 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000117009 [ Info: Selecting generators in 0.001494612 [ Info: Inclusion checked with probability 0.995 in 0.003146542 seconds [ Info: The search for identifiable functions concluded in 0.097317788 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 0.002006036 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001304965 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.112e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000456005 [ Info: Selecting generators in 0.000629183 [ Info: Inclusion checked with probability 0.995 in 0.001889207 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000104688 [ Info: Selecting generators in 0.001644751 [ Info: Inclusion checked with probability 0.995 in 0.003054903 seconds [ Info: The search for identifiable functions concluded in 0.024797261 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 0.002650518 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001560682 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.1439e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000497074 [ Info: Selecting generators in 0.000988098 [ Info: Inclusion checked with probability 0.995 in 0.002573789 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000104499 [ Info: Selecting generators in 0.001557241 [ Info: Inclusion checked with probability 0.995 in 0.002954254 seconds [ Info: The search for identifiable functions concluded in 0.028334838 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 0.002096905 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001233395 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.079e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000415075 [ Info: Selecting generators in 0.000653612 [ Info: Inclusion checked with probability 0.995 in 0.002117815 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006540061 [ Info: Selecting generators in 0.001729609 [ Info: Inclusion checked with probability 0.995 in 0.003194871 seconds [ Info: The search for identifiable functions concluded in 0.031729608 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 0.002266743 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001481822 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.069e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000422145 [ Info: Selecting generators in 0.000633182 [ Info: Inclusion checked with probability 0.995 in 0.001869267 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.0075294 [ Info: Selecting generators in 0.002150604 [ Info: Inclusion checked with probability 0.995 in 0.003384489 seconds [ Info: The search for identifiable functions concluded in 0.034341416 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 0.002109355 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001330764 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 2.114e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000454015 [ Info: Selecting generators in 0.000707062 [ Info: Inclusion checked with probability 0.995 in 0.001990816 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006320004 [ Info: Selecting generators in 0.001754299 [ Info: Inclusion checked with probability 0.995 in 0.003202491 seconds [ Info: The search for identifiable functions concluded in 0.032262402 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 0.001429433 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001165956 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.289e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.005743101 [ Info: Selecting generators in 0.002391312 [ Info: Inclusion checked with probability 0.995 in 0.002970424 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000135469 [ Info: Selecting generators in 0.002865495 [ Info: Inclusion checked with probability 0.995 in 0.004594595 seconds [ Info: The search for identifiable functions concluded in 0.040205366 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 0.001487742 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001304594 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.527e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.005995158 [ Info: Selecting generators in 0.002110394 [ Info: Inclusion checked with probability 0.995 in 0.002740337 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000122478 [ Info: Selecting generators in 0.002794896 [ Info: Inclusion checked with probability 0.995 in 0.003883653 seconds [ Info: The search for identifiable functions concluded in 0.039513794 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 0.001318894 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001240955 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.146e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.005784651 [ Info: Selecting generators in 0.002328282 [ Info: Inclusion checked with probability 0.995 in 0.002893415 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000119889 [ Info: Selecting generators in 0.002611449 [ Info: Inclusion checked with probability 0.995 in 0.003675935 seconds [ Info: The search for identifiable functions concluded in 0.037487788 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 0.001376253 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001140136 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.267e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.005905379 [ Info: Selecting generators in 0.002802896 [ Info: Inclusion checked with probability 0.995 in 0.002845606 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.017108304 [ Info: Selecting generators in 0.002766167 [ Info: Inclusion checked with probability 0.995 in 0.004356027 seconds [ Info: The search for identifiable functions concluded in 0.056068225 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 0.001407683 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001103836 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.066e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.006028968 [ Info: Selecting generators in 0.002571449 [ Info: Inclusion checked with probability 0.995 in 0.002719108 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.01659465 [ Info: Selecting generators in 0.002653588 [ Info: Inclusion checked with probability 0.995 in 0.003714155 seconds [ Info: The search for identifiable functions concluded in 0.054625942 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 0.001379134 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001051618 seconds [ Info: Dimensions of the Wronskians [3] [ Info: Ranks of the Wronskians computed in 2.1289e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.00579541 [ Info: Selecting generators in 0.002218363 [ Info: Inclusion checked with probability 0.995 in 0.002680837 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.015255046 [ Info: Selecting generators in 0.002640148 [ Info: Inclusion checked with probability 0.995 in 0.003542997 seconds [ Info: The search for identifiable functions concluded in 0.051681998 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 0.005735751 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004802522 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.114e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.01330207 [ Info: Selecting generators in 0.004398627 [ Info: Inclusion checked with probability 0.995 in 0.005285106 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000166429 [ Info: Selecting generators in 0.031350562 [ Info: Inclusion checked with probability 0.995 in 0.011074787 seconds [ Info: The search for identifiable functions concluded in 0.14114175 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x3(t), p1 + p3, p2*p4, p1*p3, x1(t)*x2(t), x1(t)*p4 + x2(t)*p2, x1(t)*p1*p4 + x2(t)*p2*p3] │ case = │ (ode = x1'(t) = -x1(t)*p1 + u(t)*p2 │ x2'(t) = -x2(t)*p3 + u(t)*p4 │ x3'(t) = x1(t)*u(t)*p4 + x2(t)*u(t)*p2 - x3(t)*p1 - x3(t)*p3 │ y1(t) = x3(t) │ , with_states = true, ident_funcs = AbstractAlgebra.RingElem[x3(t), x1(t)*x2(t), p1*p3, p2*p4, p1 + p3, x1(t)*p4 + x2(t)*p2, x1(t)*p1*p4 + x2(t)*p2*p3]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), x3(t), y1(t), ..., p4 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.006033657 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005498784 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.557e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.015178577 [ Info: Selecting generators in 0.005299627 [ Info: Inclusion checked with probability 0.995 in 0.012189593 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000203378 [ Info: Selecting generators in 0.030362564 [ Info: Inclusion checked with probability 0.995 in 0.011805248 seconds [ Info: The search for identifiable functions concluded in 0.155318229 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x3(t), p1 + p3, p2*p4, p1*p3, x1(t)*x2(t), x1(t)*p4 + x2(t)*p2, x1(t)*p1*p4 + x2(t)*p2*p3] │ case = │ (ode = x1'(t) = -x1(t)*p1 + u(t)*p2 │ x2'(t) = -x2(t)*p3 + u(t)*p4 │ x3'(t) = x1(t)*u(t)*p4 + x2(t)*u(t)*p2 - x3(t)*p1 - x3(t)*p3 │ y1(t) = x3(t) │ , with_states = true, ident_funcs = AbstractAlgebra.RingElem[x3(t), x1(t)*x2(t), p1*p3, p2*p4, p1 + p3, x1(t)*p4 + x2(t)*p2, x1(t)*p1*p4 + x2(t)*p2*p3]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), x3(t), y1(t), ..., p4 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.006062917 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005242457 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 0.014885761 [ Info: Selecting generators in 0.004476386 [ Info: Inclusion checked with probability 0.995 in 0.005117939 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000190368 [ Info: Selecting generators in 0.031142695 [ Info: Inclusion checked with probability 0.995 in 0.01163585 seconds [ Info: The search for identifiable functions concluded in 0.146428277 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x3(t), p1 + p3, p2*p4, p1*p3, x1(t)*x2(t), x1(t)*p4 + x2(t)*p2, x1(t)*p1*p4 + x2(t)*p2*p3] │ case = │ (ode = x1'(t) = -x1(t)*p1 + u(t)*p2 │ x2'(t) = -x2(t)*p3 + u(t)*p4 │ x3'(t) = x1(t)*u(t)*p4 + x2(t)*u(t)*p2 - x3(t)*p1 - x3(t)*p3 │ y1(t) = x3(t) │ , with_states = true, ident_funcs = AbstractAlgebra.RingElem[x3(t), x1(t)*x2(t), p1*p3, p2*p4, p1 + p3, x1(t)*p4 + x2(t)*p2, x1(t)*p1*p4 + x2(t)*p2*p3]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), x3(t), y1(t), ..., p4 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.006114056 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005760761 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.497e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.01500805 [ Info: Selecting generators in 0.004514926 [ Info: Inclusion checked with probability 0.995 in 0.005320916 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.122100989 [ Info: Selecting generators in 0.032509008 [ Info: Inclusion checked with probability 0.995 in 0.010850079 seconds [ Info: The search for identifiable functions concluded in 0.268248519 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x3(t), p1 + p3, p2*p4, p1*p3, x1(t)*x2(t), x1(t)*p4 + x2(t)*p2, x1(t)*p1*p4 + x2(t)*p2*p3] │ case = │ (ode = x1'(t) = -x1(t)*p1 + u(t)*p2 │ x2'(t) = -x2(t)*p3 + u(t)*p4 │ x3'(t) = x1(t)*u(t)*p4 + x2(t)*u(t)*p2 - x3(t)*p1 - x3(t)*p3 │ y1(t) = x3(t) │ , with_states = true, ident_funcs = AbstractAlgebra.RingElem[x3(t), x1(t)*x2(t), p1*p3, p2*p4, p1 + p3, x1(t)*p4 + x2(t)*p2, x1(t)*p1*p4 + x2(t)*p2*p3]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), x3(t), y1(t), ..., p4 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y1(t), u(t), p1, p2, p3, p4] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.005948388 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005562423 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.154e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.014207309 [ Info: Selecting generators in 0.004450117 [ Info: Inclusion checked with probability 0.995 in 0.005036599 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.11126879 [ Info: Selecting generators in 0.033510406 [ Info: Inclusion checked with probability 0.995 in 0.011305584 seconds [ Info: The search for identifiable functions concluded in 0.255576382 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x3(t), p1 + p3, p2*p4, p1*p3, x1(t)*x2(t), x1(t)*p4 + x2(t)*p2, x1(t)*p1*p4 + x2(t)*p2*p3] │ case = │ (ode = x1'(t) = -x1(t)*p1 + u(t)*p2 │ x2'(t) = -x2(t)*p3 + u(t)*p4 │ x3'(t) = x1(t)*u(t)*p4 + x2(t)*u(t)*p2 - x3(t)*p1 - x3(t)*p3 │ y1(t) = x3(t) │ , with_states = true, ident_funcs = AbstractAlgebra.RingElem[x3(t), x1(t)*x2(t), p1*p3, p2*p4, p1 + p3, x1(t)*p4 + x2(t)*p2, x1(t)*p1*p4 + x2(t)*p2*p3]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), x3(t), y1(t), ..., p4 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y1(t), u(t), p1, p2, p3, p4] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.005703471 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005536904 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.3419e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.013812923 [ Info: Selecting generators in 0.004397327 [ Info: Inclusion checked with probability 0.995 in 0.005343266 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.11543641 [ Info: Selecting generators in 1.86760029 [ Info: Inclusion checked with probability 0.995 in 0.045704279 seconds [ Info: The search for identifiable functions concluded in 2.12742169 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[x3(t), p1 + p3, p2*p4, p1*p3, x1(t)*x2(t), x1(t)*p4 + x2(t)*p2, x1(t)*p1*p4 + x2(t)*p2*p3] │ case = │ (ode = x1'(t) = -x1(t)*p1 + u(t)*p2 │ x2'(t) = -x2(t)*p3 + u(t)*p4 │ x3'(t) = x1(t)*u(t)*p4 + x2(t)*u(t)*p2 - x3(t)*p1 - x3(t)*p3 │ y1(t) = x3(t) │ , with_states = true, ident_funcs = AbstractAlgebra.RingElem[x3(t), x1(t)*x2(t), p1*p3, p2*p4, p1 + p3, x1(t)*p4 + x2(t)*p2, x1(t)*p1*p4 + x2(t)*p2*p3]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), x3(t), y1(t), ..., p4 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y1(t), u(t), p1, p2, p3, p4] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.218597216 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.393794745 seconds [ Info: Dimensions of the Wronskians [18, 9, 145] [ Info: Ranks of the Wronskians computed in 0.001770858 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 10.262794924 [ Info: Selecting generators in 0.072151249 [ Info: Inclusion checked with probability 0.995 in 0.177551266 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:11 ✓ # Computing specializations.. Time: 0:00:11 [ Info: Search for polynomial generators concluded in 0.000504434 [ Info: Selecting generators in 0.248826659 [ Info: Inclusion checked with probability 0.995 in 12.616256289 seconds [ Info: The search for identifiable functions concluded in 48.043146873 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[reaction_8_k1, reaction_7_k1, reaction_6_k1, reaction_5_k2, reaction_4_k1, reaction_3_k1, reaction_2_k2, reaction_1_k1 - reaction_1_k2 - reaction_9_k1, pS6(t)*reaction_5_k1, reaction_2_k1//reaction_5_k1, a3//reaction_5_k1, a2//reaction_5_k1, a1//reaction_5_k1, pAkt_S6(t)//pS6(t), S6(t)//pS6(t), pAkt(t)//pS6(t), Akt(t)//pS6(t), pEGFR_Akt(t)//pS6(t), pEGFR(t)//pS6(t), (EGF_EGFR(t)*reaction_9_k1)//pS6(t)] │ case = │ (ode = EGFR'(t) = -EGFR(t)*EGFR_turnover - EGF_EGFR(t)*reaction_1_k1 + EGF_EGFR(t)*reaction_1_k2 + pro_EGFR(t)*EGFR_turnover │ pEGFR'(t) = -pEGFR(t)*Akt(t)*reaction_2_k1 - pEGFR(t)*reaction_4_k1 + pEGFR_Akt(t)*reaction_2_k2 + pEGFR_Akt(t)*reaction_3_k1 + EGF_EGFR(t)*reaction_9_k1 │ pEGFR_Akt'(t) = pEGFR(t)*Akt(t)*reaction_2_k1 - pEGFR_Akt(t)*reaction_2_k2 - pEGFR_Akt(t)*reaction_3_k1 │ Akt'(t) = -pEGFR(t)*Akt(t)*reaction_2_k1 + pEGFR_Akt(t)*reaction_2_k2 + pAkt(t)*reaction_7_k1 │ pAkt'(t) = pEGFR_Akt(t)*reaction_3_k1 - pAkt(t)*S6(t)*reaction_5_k1 - pAkt(t)*reaction_7_k1 + pAkt_S6(t)*reaction_5_k2 + pAkt_S6(t)*reaction_6_k1 │ S6'(t) = -pAkt(t)*S6(t)*reaction_5_k1 + pAkt_S6(t)*reaction_5_k2 + pS6(t)*reaction_8_k1 │ pAkt_S6'(t) = pAkt(t)*S6(t)*reaction_5_k1 - pAkt_S6(t)*reaction_5_k2 - pAkt_S6(t)*reaction_6_k1 │ pS6'(t) = pAkt_S6(t)*reaction_6_k1 - pS6(t)*reaction_8_k1 │ EGF_EGFR'(t) = EGF_EGFR(t)*reaction_1_k1 - EGF_EGFR(t)*reaction_1_k2 - EGF_EGFR(t)*reaction_9_k1 │ y1(t) = pEGFR(t)*a1 + pEGFR_Akt(t)*a1 │ y2(t) = pAkt(t)*a2 + pAkt_S6(t)*a2 │ y3(t) = pS6(t)*a3 │ , with_states = true, ident_funcs = AbstractAlgebra.RingElem[reaction_8_k1, a3//reaction_5_k1, reaction_3_k1, reaction_2_k2, pAkt(t)*reaction_5_k1, pEGFR(t)*reaction_5_k1, reaction_2_k1//reaction_5_k1, a1//reaction_5_k1, pS6(t)*reaction_5_k1, reaction_5_k2, reaction_6_k1, a2//reaction_5_k1, reaction_7_k1, reaction_4_k1, pAkt_S6(t)*reaction_5_k1, reaction_1_k1 - reaction_1_k2 - reaction_9_k1, pEGFR_Akt(t)*reaction_5_k1, S6(t)*reaction_5_k1, EGF_EGFR(t)*reaction_5_k1*reaction_9_k1, Akt(t)*reaction_5_k1]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 29 variables EGFR(t), pEGFR(t), pEGFR_Akt(t), Akt(t), ..., reaction_9_k1 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.210717147 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 1.108428575 seconds [ Info: Dimensions of the Wronskians [18, 9, 145] [ Info: Ranks of the Wronskians computed in 0.002168634 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 8.71100906 [ Info: Selecting generators in 0.082084194 [ Info: Inclusion checked with probability 0.995 in 0.145462625 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000451655 [ Info: Selecting generators in 0.248598813 [ Info: Inclusion checked with probability 0.995 in 0.067939245 seconds [ Info: The search for identifiable functions concluded in 12.009187987 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[reaction_8_k1, reaction_7_k1, reaction_6_k1, reaction_5_k2, reaction_4_k1, reaction_3_k1, reaction_2_k2, reaction_1_k1 - reaction_1_k2 - reaction_9_k1, pS6(t)*reaction_5_k1, reaction_2_k1//reaction_5_k1, a3//reaction_5_k1, a2//reaction_5_k1, a1//reaction_5_k1, pAkt_S6(t)//pS6(t), S6(t)//pS6(t), pAkt(t)//pS6(t), Akt(t)//pS6(t), pEGFR_Akt(t)//pS6(t), pEGFR(t)//pS6(t), (EGF_EGFR(t)*reaction_9_k1)//pS6(t)] │ case = │ (ode = EGFR'(t) = -EGFR(t)*EGFR_turnover - EGF_EGFR(t)*reaction_1_k1 + EGF_EGFR(t)*reaction_1_k2 + pro_EGFR(t)*EGFR_turnover │ pEGFR'(t) = -pEGFR(t)*Akt(t)*reaction_2_k1 - pEGFR(t)*reaction_4_k1 + pEGFR_Akt(t)*reaction_2_k2 + pEGFR_Akt(t)*reaction_3_k1 + EGF_EGFR(t)*reaction_9_k1 │ pEGFR_Akt'(t) = pEGFR(t)*Akt(t)*reaction_2_k1 - pEGFR_Akt(t)*reaction_2_k2 - pEGFR_Akt(t)*reaction_3_k1 │ Akt'(t) = -pEGFR(t)*Akt(t)*reaction_2_k1 + pEGFR_Akt(t)*reaction_2_k2 + pAkt(t)*reaction_7_k1 │ pAkt'(t) = pEGFR_Akt(t)*reaction_3_k1 - pAkt(t)*S6(t)*reaction_5_k1 - pAkt(t)*reaction_7_k1 + pAkt_S6(t)*reaction_5_k2 + pAkt_S6(t)*reaction_6_k1 │ S6'(t) = -pAkt(t)*S6(t)*reaction_5_k1 + pAkt_S6(t)*reaction_5_k2 + pS6(t)*reaction_8_k1 │ pAkt_S6'(t) = pAkt(t)*S6(t)*reaction_5_k1 - pAkt_S6(t)*reaction_5_k2 - pAkt_S6(t)*reaction_6_k1 │ pS6'(t) = pAkt_S6(t)*reaction_6_k1 - pS6(t)*reaction_8_k1 │ EGF_EGFR'(t) = EGF_EGFR(t)*reaction_1_k1 - EGF_EGFR(t)*reaction_1_k2 - EGF_EGFR(t)*reaction_9_k1 │ y1(t) = pEGFR(t)*a1 + pEGFR_Akt(t)*a1 │ y2(t) = pAkt(t)*a2 + pAkt_S6(t)*a2 │ y3(t) = pS6(t)*a3 │ , with_states = true, ident_funcs = AbstractAlgebra.RingElem[reaction_8_k1, a3//reaction_5_k1, reaction_3_k1, reaction_2_k2, pAkt(t)*reaction_5_k1, pEGFR(t)*reaction_5_k1, reaction_2_k1//reaction_5_k1, a1//reaction_5_k1, pS6(t)*reaction_5_k1, reaction_5_k2, reaction_6_k1, a2//reaction_5_k1, reaction_7_k1, reaction_4_k1, pAkt_S6(t)*reaction_5_k1, reaction_1_k1 - reaction_1_k2 - reaction_9_k1, pEGFR_Akt(t)*reaction_5_k1, S6(t)*reaction_5_k1, EGF_EGFR(t)*reaction_5_k1*reaction_9_k1, Akt(t)*reaction_5_k1]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 29 variables EGFR(t), pEGFR(t), pEGFR_Akt(t), Akt(t), ..., reaction_9_k1 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.204164892 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.404750837 seconds [ Info: Dimensions of the Wronskians [18, 9, 145] [ Info: Ranks of the Wronskians computed in 0.001925356 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 8.089343351 [ Info: Selecting generators in 0.066296514 [ Info: Inclusion checked with probability 0.995 in 0.133187301 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000471035 [ Info: Selecting generators in 0.775639242 [ Info: Inclusion checked with probability 0.995 in 0.069771381 seconds [ Info: The search for identifiable functions concluded in 12.566529246 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[reaction_8_k1, reaction_7_k1, reaction_6_k1, reaction_5_k2, reaction_4_k1, reaction_3_k1, reaction_2_k2, reaction_1_k1 - reaction_1_k2 - reaction_9_k1, pS6(t)*reaction_5_k1, reaction_2_k1//reaction_5_k1, a3//reaction_5_k1, a2//reaction_5_k1, a1//reaction_5_k1, pAkt_S6(t)//pS6(t), S6(t)//pS6(t), pAkt(t)//pS6(t), Akt(t)//pS6(t), pEGFR_Akt(t)//pS6(t), pEGFR(t)//pS6(t), (EGF_EGFR(t)*reaction_9_k1)//pS6(t)] │ case = │ (ode = EGFR'(t) = -EGFR(t)*EGFR_turnover - EGF_EGFR(t)*reaction_1_k1 + EGF_EGFR(t)*reaction_1_k2 + pro_EGFR(t)*EGFR_turnover │ pEGFR'(t) = -pEGFR(t)*Akt(t)*reaction_2_k1 - pEGFR(t)*reaction_4_k1 + pEGFR_Akt(t)*reaction_2_k2 + pEGFR_Akt(t)*reaction_3_k1 + EGF_EGFR(t)*reaction_9_k1 │ pEGFR_Akt'(t) = pEGFR(t)*Akt(t)*reaction_2_k1 - pEGFR_Akt(t)*reaction_2_k2 - pEGFR_Akt(t)*reaction_3_k1 │ Akt'(t) = -pEGFR(t)*Akt(t)*reaction_2_k1 + pEGFR_Akt(t)*reaction_2_k2 + pAkt(t)*reaction_7_k1 │ pAkt'(t) = pEGFR_Akt(t)*reaction_3_k1 - pAkt(t)*S6(t)*reaction_5_k1 - pAkt(t)*reaction_7_k1 + pAkt_S6(t)*reaction_5_k2 + pAkt_S6(t)*reaction_6_k1 │ S6'(t) = -pAkt(t)*S6(t)*reaction_5_k1 + pAkt_S6(t)*reaction_5_k2 + pS6(t)*reaction_8_k1 │ pAkt_S6'(t) = pAkt(t)*S6(t)*reaction_5_k1 - pAkt_S6(t)*reaction_5_k2 - pAkt_S6(t)*reaction_6_k1 │ pS6'(t) = pAkt_S6(t)*reaction_6_k1 - pS6(t)*reaction_8_k1 │ EGF_EGFR'(t) = EGF_EGFR(t)*reaction_1_k1 - EGF_EGFR(t)*reaction_1_k2 - EGF_EGFR(t)*reaction_9_k1 │ y1(t) = pEGFR(t)*a1 + pEGFR_Akt(t)*a1 │ y2(t) = pAkt(t)*a2 + pAkt_S6(t)*a2 │ y3(t) = pS6(t)*a3 │ , with_states = true, ident_funcs = AbstractAlgebra.RingElem[reaction_8_k1, a3//reaction_5_k1, reaction_3_k1, reaction_2_k2, pAkt(t)*reaction_5_k1, pEGFR(t)*reaction_5_k1, reaction_2_k1//reaction_5_k1, a1//reaction_5_k1, pS6(t)*reaction_5_k1, reaction_5_k2, reaction_6_k1, a2//reaction_5_k1, reaction_7_k1, reaction_4_k1, pAkt_S6(t)*reaction_5_k1, reaction_1_k1 - reaction_1_k2 - reaction_9_k1, pEGFR_Akt(t)*reaction_5_k1, S6(t)*reaction_5_k1, EGF_EGFR(t)*reaction_5_k1*reaction_9_k1, Akt(t)*reaction_5_k1]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 29 variables EGFR(t), pEGFR(t), pEGFR_Akt(t), Akt(t), ..., reaction_9_k1 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.181889209 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.373236593 seconds [ Info: Dimensions of the Wronskians [18, 9, 145] [ Info: Ranks of the Wronskians computed in 0.001760129 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 8.767636908 [ Info: Selecting generators in 0.070500282 [ Info: Inclusion checked with probability 0.995 in 0.141716405 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 110.823138145 [ Info: Selecting generators in 1.014270008 [ Info: Inclusion checked with probability 0.995 in 0.684865499 seconds [ Info: The search for identifiable functions concluded in 123.232233997 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[reaction_8_k1, reaction_7_k1, reaction_6_k1, reaction_5_k2, reaction_4_k1, reaction_3_k1, reaction_2_k2, reaction_1_k1 - reaction_1_k2 - reaction_9_k1, pS6(t)*reaction_5_k1, pAkt_S6(t)*reaction_5_k1, S6(t)*reaction_5_k1, pAkt(t)*reaction_5_k1, Akt(t)*reaction_5_k1, pEGFR_Akt(t)*reaction_5_k1, pEGFR(t)*reaction_5_k1, reaction_2_k1//reaction_5_k1, a3//reaction_5_k1, a2//reaction_5_k1, a1//reaction_5_k1, EGF_EGFR(t)*reaction_5_k1*reaction_9_k1] │ case = │ (ode = EGFR'(t) = -EGFR(t)*EGFR_turnover - EGF_EGFR(t)*reaction_1_k1 + EGF_EGFR(t)*reaction_1_k2 + pro_EGFR(t)*EGFR_turnover │ pEGFR'(t) = -pEGFR(t)*Akt(t)*reaction_2_k1 - pEGFR(t)*reaction_4_k1 + pEGFR_Akt(t)*reaction_2_k2 + pEGFR_Akt(t)*reaction_3_k1 + EGF_EGFR(t)*reaction_9_k1 │ pEGFR_Akt'(t) = pEGFR(t)*Akt(t)*reaction_2_k1 - pEGFR_Akt(t)*reaction_2_k2 - pEGFR_Akt(t)*reaction_3_k1 │ Akt'(t) = -pEGFR(t)*Akt(t)*reaction_2_k1 + pEGFR_Akt(t)*reaction_2_k2 + pAkt(t)*reaction_7_k1 │ pAkt'(t) = pEGFR_Akt(t)*reaction_3_k1 - pAkt(t)*S6(t)*reaction_5_k1 - pAkt(t)*reaction_7_k1 + pAkt_S6(t)*reaction_5_k2 + pAkt_S6(t)*reaction_6_k1 │ S6'(t) = -pAkt(t)*S6(t)*reaction_5_k1 + pAkt_S6(t)*reaction_5_k2 + pS6(t)*reaction_8_k1 │ pAkt_S6'(t) = pAkt(t)*S6(t)*reaction_5_k1 - pAkt_S6(t)*reaction_5_k2 - pAkt_S6(t)*reaction_6_k1 │ pS6'(t) = pAkt_S6(t)*reaction_6_k1 - pS6(t)*reaction_8_k1 │ EGF_EGFR'(t) = EGF_EGFR(t)*reaction_1_k1 - EGF_EGFR(t)*reaction_1_k2 - EGF_EGFR(t)*reaction_9_k1 │ y1(t) = pEGFR(t)*a1 + pEGFR_Akt(t)*a1 │ y2(t) = pAkt(t)*a2 + pAkt_S6(t)*a2 │ y3(t) = pS6(t)*a3 │ , with_states = true, ident_funcs = AbstractAlgebra.RingElem[reaction_8_k1, a3//reaction_5_k1, reaction_3_k1, reaction_2_k2, pAkt(t)*reaction_5_k1, pEGFR(t)*reaction_5_k1, reaction_2_k1//reaction_5_k1, a1//reaction_5_k1, pS6(t)*reaction_5_k1, reaction_5_k2, reaction_6_k1, a2//reaction_5_k1, reaction_7_k1, reaction_4_k1, pAkt_S6(t)*reaction_5_k1, reaction_1_k1 - reaction_1_k2 - reaction_9_k1, pEGFR_Akt(t)*reaction_5_k1, S6(t)*reaction_5_k1, EGF_EGFR(t)*reaction_5_k1*reaction_9_k1, Akt(t)*reaction_5_k1]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 29 variables EGFR(t), pEGFR(t), pEGFR_Akt(t), Akt(t), ..., reaction_9_k1 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[EGFR(t), pEGFR(t), pEGFR_Akt(t), Akt(t), pAkt(t), S6(t), pAkt_S6(t), pS6(t), EGF_EGFR(t), y1(t), y2(t), y3(t), pro_EGFR(t), EGFR_turnover, a1, a2, a3, reaction_1_k1, reaction_1_k2, reaction_2_k1, reaction_2_k2, reaction_3_k1, reaction_4_k1, reaction_5_k1, reaction_5_k2, reaction_6_k1, reaction_7_k1, reaction_8_k1, reaction_9_k1] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.20784081 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.411318958 seconds [ Info: Dimensions of the Wronskians [18, 9, 145] [ Info: Ranks of the Wronskians computed in 0.001850599 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 8.107228521 [ Info: Selecting generators in 0.068859844 [ Info: Inclusion checked with probability 0.995 in 0.136785188 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 103.739502475 [ Info: Selecting generators in 1.474606591 [ Info: Inclusion checked with probability 0.995 in 0.075501671 seconds [ Info: The search for identifiable functions concluded in 114.991632769 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[reaction_8_k1, reaction_7_k1, reaction_6_k1, reaction_5_k2, reaction_4_k1, reaction_3_k1, reaction_2_k2, reaction_1_k1 - reaction_1_k2 - reaction_9_k1, pS6(t)*reaction_5_k1, pAkt_S6(t)*reaction_5_k1, S6(t)*reaction_5_k1, pAkt(t)*reaction_5_k1, Akt(t)*reaction_5_k1, pEGFR_Akt(t)*reaction_5_k1, pEGFR(t)*reaction_5_k1, reaction_2_k1//reaction_5_k1, a3//reaction_5_k1, a2//reaction_5_k1, a1//reaction_5_k1, EGF_EGFR(t)*reaction_5_k1*reaction_9_k1] │ case = │ (ode = EGFR'(t) = -EGFR(t)*EGFR_turnover - EGF_EGFR(t)*reaction_1_k1 + EGF_EGFR(t)*reaction_1_k2 + pro_EGFR(t)*EGFR_turnover │ pEGFR'(t) = -pEGFR(t)*Akt(t)*reaction_2_k1 - pEGFR(t)*reaction_4_k1 + pEGFR_Akt(t)*reaction_2_k2 + pEGFR_Akt(t)*reaction_3_k1 + EGF_EGFR(t)*reaction_9_k1 │ pEGFR_Akt'(t) = pEGFR(t)*Akt(t)*reaction_2_k1 - pEGFR_Akt(t)*reaction_2_k2 - pEGFR_Akt(t)*reaction_3_k1 │ Akt'(t) = -pEGFR(t)*Akt(t)*reaction_2_k1 + pEGFR_Akt(t)*reaction_2_k2 + pAkt(t)*reaction_7_k1 │ pAkt'(t) = pEGFR_Akt(t)*reaction_3_k1 - pAkt(t)*S6(t)*reaction_5_k1 - pAkt(t)*reaction_7_k1 + pAkt_S6(t)*reaction_5_k2 + pAkt_S6(t)*reaction_6_k1 │ S6'(t) = -pAkt(t)*S6(t)*reaction_5_k1 + pAkt_S6(t)*reaction_5_k2 + pS6(t)*reaction_8_k1 │ pAkt_S6'(t) = pAkt(t)*S6(t)*reaction_5_k1 - pAkt_S6(t)*reaction_5_k2 - pAkt_S6(t)*reaction_6_k1 │ pS6'(t) = pAkt_S6(t)*reaction_6_k1 - pS6(t)*reaction_8_k1 │ EGF_EGFR'(t) = EGF_EGFR(t)*reaction_1_k1 - EGF_EGFR(t)*reaction_1_k2 - EGF_EGFR(t)*reaction_9_k1 │ y1(t) = pEGFR(t)*a1 + pEGFR_Akt(t)*a1 │ y2(t) = pAkt(t)*a2 + pAkt_S6(t)*a2 │ y3(t) = pS6(t)*a3 │ , with_states = true, ident_funcs = AbstractAlgebra.RingElem[reaction_8_k1, a3//reaction_5_k1, reaction_3_k1, reaction_2_k2, pAkt(t)*reaction_5_k1, pEGFR(t)*reaction_5_k1, reaction_2_k1//reaction_5_k1, a1//reaction_5_k1, pS6(t)*reaction_5_k1, reaction_5_k2, reaction_6_k1, a2//reaction_5_k1, reaction_7_k1, reaction_4_k1, pAkt_S6(t)*reaction_5_k1, reaction_1_k1 - reaction_1_k2 - reaction_9_k1, pEGFR_Akt(t)*reaction_5_k1, S6(t)*reaction_5_k1, EGF_EGFR(t)*reaction_5_k1*reaction_9_k1, Akt(t)*reaction_5_k1]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 29 variables EGFR(t), pEGFR(t), pEGFR_Akt(t), Akt(t), ..., reaction_9_k1 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[EGFR(t), pEGFR(t), pEGFR_Akt(t), Akt(t), pAkt(t), S6(t), pAkt_S6(t), pS6(t), EGF_EGFR(t), y1(t), y2(t), y3(t), pro_EGFR(t), EGFR_turnover, a1, a2, a3, reaction_1_k1, reaction_1_k2, reaction_2_k1, reaction_2_k2, reaction_3_k1, reaction_4_k1, reaction_5_k1, reaction_5_k2, reaction_6_k1, reaction_7_k1, reaction_8_k1, reaction_9_k1] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.198617283 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.398658262 seconds [ Info: Dimensions of the Wronskians [18, 9, 145] [ Info: Ranks of the Wronskians computed in 0.00174003 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 8.907744121 [ Info: Selecting generators in 0.076589018 [ Info: Inclusion checked with probability 0.995 in 0.14298771 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 100.622827404 [ Info: Selecting generators in 0.950206542 [ Info: Inclusion checked with probability 0.995 in 0.069814835 seconds [ Info: The search for identifiable functions concluded in 112.229482902 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[reaction_8_k1, reaction_7_k1, reaction_6_k1, reaction_5_k2, reaction_4_k1, reaction_3_k1, reaction_2_k2, reaction_1_k1 - reaction_1_k2 - reaction_9_k1, pS6(t)*reaction_5_k1, pAkt_S6(t)*reaction_5_k1, S6(t)*reaction_5_k1, pAkt(t)*reaction_5_k1, Akt(t)*reaction_5_k1, pEGFR_Akt(t)*reaction_5_k1, pEGFR(t)*reaction_5_k1, reaction_2_k1//reaction_5_k1, a3//reaction_5_k1, a2//reaction_5_k1, a1//reaction_5_k1, EGF_EGFR(t)*reaction_5_k1*reaction_9_k1] │ case = │ (ode = EGFR'(t) = -EGFR(t)*EGFR_turnover - EGF_EGFR(t)*reaction_1_k1 + EGF_EGFR(t)*reaction_1_k2 + pro_EGFR(t)*EGFR_turnover │ pEGFR'(t) = -pEGFR(t)*Akt(t)*reaction_2_k1 - pEGFR(t)*reaction_4_k1 + pEGFR_Akt(t)*reaction_2_k2 + pEGFR_Akt(t)*reaction_3_k1 + EGF_EGFR(t)*reaction_9_k1 │ pEGFR_Akt'(t) = pEGFR(t)*Akt(t)*reaction_2_k1 - pEGFR_Akt(t)*reaction_2_k2 - pEGFR_Akt(t)*reaction_3_k1 │ Akt'(t) = -pEGFR(t)*Akt(t)*reaction_2_k1 + pEGFR_Akt(t)*reaction_2_k2 + pAkt(t)*reaction_7_k1 │ pAkt'(t) = pEGFR_Akt(t)*reaction_3_k1 - pAkt(t)*S6(t)*reaction_5_k1 - pAkt(t)*reaction_7_k1 + pAkt_S6(t)*reaction_5_k2 + pAkt_S6(t)*reaction_6_k1 │ S6'(t) = -pAkt(t)*S6(t)*reaction_5_k1 + pAkt_S6(t)*reaction_5_k2 + pS6(t)*reaction_8_k1 │ pAkt_S6'(t) = pAkt(t)*S6(t)*reaction_5_k1 - pAkt_S6(t)*reaction_5_k2 - pAkt_S6(t)*reaction_6_k1 │ pS6'(t) = pAkt_S6(t)*reaction_6_k1 - pS6(t)*reaction_8_k1 │ EGF_EGFR'(t) = EGF_EGFR(t)*reaction_1_k1 - EGF_EGFR(t)*reaction_1_k2 - EGF_EGFR(t)*reaction_9_k1 │ y1(t) = pEGFR(t)*a1 + pEGFR_Akt(t)*a1 │ y2(t) = pAkt(t)*a2 + pAkt_S6(t)*a2 │ y3(t) = pS6(t)*a3 │ , with_states = true, ident_funcs = AbstractAlgebra.RingElem[reaction_8_k1, a3//reaction_5_k1, reaction_3_k1, reaction_2_k2, pAkt(t)*reaction_5_k1, pEGFR(t)*reaction_5_k1, reaction_2_k1//reaction_5_k1, a1//reaction_5_k1, pS6(t)*reaction_5_k1, reaction_5_k2, reaction_6_k1, a2//reaction_5_k1, reaction_7_k1, reaction_4_k1, pAkt_S6(t)*reaction_5_k1, reaction_1_k1 - reaction_1_k2 - reaction_9_k1, pEGFR_Akt(t)*reaction_5_k1, S6(t)*reaction_5_k1, EGF_EGFR(t)*reaction_5_k1*reaction_9_k1, Akt(t)*reaction_5_k1]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 29 variables EGFR(t), pEGFR(t), pEGFR_Akt(t), Akt(t), ..., reaction_9_k1 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[EGFR(t), pEGFR(t), pEGFR_Akt(t), Akt(t), pAkt(t), S6(t), pAkt_S6(t), pS6(t), EGF_EGFR(t), y1(t), y2(t), y3(t), pro_EGFR(t), EGFR_turnover, a1, a2, a3, reaction_1_k1, reaction_1_k2, reaction_2_k1, reaction_2_k2, reaction_3_k1, reaction_4_k1, reaction_5_k1, reaction_5_k2, reaction_6_k1, reaction_7_k1, reaction_8_k1, reaction_9_k1] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.027000016 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.017942838 seconds [ Info: Dimensions of the Wronskians [4, 2] [ Info: Ranks of the Wronskians computed in 2.867e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.028237113 [ Info: Selecting generators in 0.001943178 [ Info: Inclusion checked with probability 0.995 in 0.004595509 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000227348 [ Info: Selecting generators in 0.010319134 [ Info: Inclusion checked with probability 0.995 in 0.010166076 seconds [ Info: The search for identifiable functions concluded in 0.272737885 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[kbeta10, kbeta, beta10(t), beta(t), kcryOH + kcrybeta, cry(t)*kcryOH] │ case = │ (ode = beta'(t) = -beta(t)*kbeta │ cry'(t) = -cry(t)*kcryOH - cry(t)*kcrybeta │ zea'(t) = -zea(t)*kzea │ beta10'(t) = beta(t)*kbeta + cry(t)*kcryOH - beta10(t)*kbeta10 │ OHbeta10'(t) = cry(t)*kcrybeta + zea(t)*kzea - OHbeta10(t)*kOHbeta10 │ betaio'(t) = beta(t)*kbeta + cry(t)*kcrybeta + beta10(t)*kbeta10 │ OHbetaio'(t) = cry(t)*kcryOH + zea(t)*kzea + OHbeta10(t)*kOHbeta10 │ y1(t) = beta(t) │ y2(t) = beta10(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[beta10(t), beta(t), kbeta, kbeta10, cry(t)*kcryOH, kcryOH + kcrybeta]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 15 variables beta(t), cry(t), zea(t), beta10(t), ..., kzea │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.02755166 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.016850701 seconds [ Info: Dimensions of the Wronskians [4, 2] [ Info: Ranks of the Wronskians computed in 2.5009e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.030431818 [ Info: Selecting generators in 0.00178015 [ Info: Inclusion checked with probability 0.995 in 0.00446403 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000202528 [ Info: Selecting generators in 0.011315303 [ Info: Inclusion checked with probability 0.995 in 0.011362743 seconds [ Info: The search for identifiable functions concluded in 0.152544996 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[kbeta10, kbeta, beta10(t), beta(t), kcryOH + kcrybeta, cry(t)*kcryOH] │ case = │ (ode = beta'(t) = -beta(t)*kbeta │ cry'(t) = -cry(t)*kcryOH - cry(t)*kcrybeta │ zea'(t) = -zea(t)*kzea │ beta10'(t) = beta(t)*kbeta + cry(t)*kcryOH - beta10(t)*kbeta10 │ OHbeta10'(t) = cry(t)*kcrybeta + zea(t)*kzea - OHbeta10(t)*kOHbeta10 │ betaio'(t) = beta(t)*kbeta + cry(t)*kcrybeta + beta10(t)*kbeta10 │ OHbetaio'(t) = cry(t)*kcryOH + zea(t)*kzea + OHbeta10(t)*kOHbeta10 │ y1(t) = beta(t) │ y2(t) = beta10(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[beta10(t), beta(t), kbeta, kbeta10, cry(t)*kcryOH, kcryOH + kcrybeta]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 15 variables beta(t), cry(t), zea(t), beta10(t), ..., kzea │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.028650168 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.01876932 seconds [ Info: Dimensions of the Wronskians [4, 2] [ Info: Ranks of the Wronskians computed in 2.6219e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.030568067 [ Info: Selecting generators in 0.00177206 [ Info: Inclusion checked with probability 0.995 in 0.004374471 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000223977 [ Info: Selecting generators in 0.011435881 [ Info: Inclusion checked with probability 0.995 in 0.010971467 seconds [ Info: The search for identifiable functions concluded in 0.15836017 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[kbeta10, kbeta, beta10(t), beta(t), kcryOH + kcrybeta, cry(t)*kcryOH] │ case = │ (ode = beta'(t) = -beta(t)*kbeta │ cry'(t) = -cry(t)*kcryOH - cry(t)*kcrybeta │ zea'(t) = -zea(t)*kzea │ beta10'(t) = beta(t)*kbeta + cry(t)*kcryOH - beta10(t)*kbeta10 │ OHbeta10'(t) = cry(t)*kcrybeta + zea(t)*kzea - OHbeta10(t)*kOHbeta10 │ betaio'(t) = beta(t)*kbeta + cry(t)*kcrybeta + beta10(t)*kbeta10 │ OHbetaio'(t) = cry(t)*kcryOH + zea(t)*kzea + OHbeta10(t)*kOHbeta10 │ y1(t) = beta(t) │ y2(t) = beta10(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[beta10(t), beta(t), kbeta, kbeta10, cry(t)*kcryOH, kcryOH + kcrybeta]) │ simplify = :weak │ R = │ Multivariate polynomial ring in 15 variables beta(t), cry(t), zea(t), beta10(t), ..., kzea │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.028680478 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.017660961 seconds [ Info: Dimensions of the Wronskians [4, 2] [ Info: Ranks of the Wronskians computed in 2.7429e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.027898816 [ Info: Selecting generators in 0.001586082 [ Info: Inclusion checked with probability 0.995 in 0.004052024 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.513617197 [ Info: Selecting generators in 0.010278515 [ Info: Inclusion checked with probability 0.995 in 0.009864589 seconds [ Info: The search for identifiable functions concluded in 1.659999071 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[kbeta10, kbeta, beta10(t), beta(t), kcryOH + kcrybeta, cry(t)*kcryOH] │ case = │ (ode = beta'(t) = -beta(t)*kbeta │ cry'(t) = -cry(t)*kcryOH - cry(t)*kcrybeta │ zea'(t) = -zea(t)*kzea │ beta10'(t) = beta(t)*kbeta + cry(t)*kcryOH - beta10(t)*kbeta10 │ OHbeta10'(t) = cry(t)*kcrybeta + zea(t)*kzea - OHbeta10(t)*kOHbeta10 │ betaio'(t) = beta(t)*kbeta + cry(t)*kcrybeta + beta10(t)*kbeta10 │ OHbetaio'(t) = cry(t)*kcryOH + zea(t)*kzea + OHbeta10(t)*kOHbeta10 │ y1(t) = beta(t) │ y2(t) = beta10(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[beta10(t), beta(t), kbeta, kbeta10, cry(t)*kcryOH, kcryOH + kcrybeta]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 15 variables beta(t), cry(t), zea(t), beta10(t), ..., kzea │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[beta(t), cry(t), zea(t), beta10(t), OHbeta10(t), betaio(t), OHbetaio(t), y1(t), y2(t), kOHbeta10, kbeta, kbeta10, kcryOH, kcrybeta, kzea] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.02668558 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.0168889 seconds [ Info: Dimensions of the Wronskians [4, 2] [ Info: Ranks of the Wronskians computed in 2.2159e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.029961023 [ Info: Selecting generators in 0.001842989 [ Info: Inclusion checked with probability 0.995 in 0.004149513 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.527631359 [ Info: Selecting generators in 0.0106291 [ Info: Inclusion checked with probability 0.995 in 0.010119716 seconds [ Info: The search for identifiable functions concluded in 0.674545787 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[kbeta10, kbeta, beta10(t), beta(t), kcryOH + kcrybeta, cry(t)*kcryOH] │ case = │ (ode = beta'(t) = -beta(t)*kbeta │ cry'(t) = -cry(t)*kcryOH - cry(t)*kcrybeta │ zea'(t) = -zea(t)*kzea │ beta10'(t) = beta(t)*kbeta + cry(t)*kcryOH - beta10(t)*kbeta10 │ OHbeta10'(t) = cry(t)*kcrybeta + zea(t)*kzea - OHbeta10(t)*kOHbeta10 │ betaio'(t) = beta(t)*kbeta + cry(t)*kcrybeta + beta10(t)*kbeta10 │ OHbetaio'(t) = cry(t)*kcryOH + zea(t)*kzea + OHbeta10(t)*kOHbeta10 │ y1(t) = beta(t) │ y2(t) = beta10(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[beta10(t), beta(t), kbeta, kbeta10, cry(t)*kcryOH, kcryOH + kcrybeta]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 15 variables beta(t), cry(t), zea(t), beta10(t), ..., kzea │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[beta(t), cry(t), zea(t), beta10(t), OHbeta10(t), betaio(t), OHbetaio(t), y1(t), y2(t), kOHbeta10, kbeta, kbeta10, kcryOH, kcrybeta, kzea] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.027063646 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.01780029 seconds [ Info: Dimensions of the Wronskians [4, 2] [ Info: Ranks of the Wronskians computed in 2.2379e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.027698298 [ Info: Selecting generators in 0.001635991 [ Info: Inclusion checked with probability 0.995 in 0.003926556 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.447952474 [ Info: Selecting generators in 0.009889258 [ Info: Inclusion checked with probability 0.995 in 0.009854449 seconds [ Info: The search for identifiable functions concluded in 0.59151964 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[kbeta10, kbeta, beta10(t), beta(t), kcryOH + kcrybeta, cry(t)*kcryOH] │ case = │ (ode = beta'(t) = -beta(t)*kbeta │ cry'(t) = -cry(t)*kcryOH - cry(t)*kcrybeta │ zea'(t) = -zea(t)*kzea │ beta10'(t) = beta(t)*kbeta + cry(t)*kcryOH - beta10(t)*kbeta10 │ OHbeta10'(t) = cry(t)*kcrybeta + zea(t)*kzea - OHbeta10(t)*kOHbeta10 │ betaio'(t) = beta(t)*kbeta + cry(t)*kcrybeta + beta10(t)*kbeta10 │ OHbetaio'(t) = cry(t)*kcryOH + zea(t)*kzea + OHbeta10(t)*kOHbeta10 │ y1(t) = beta(t) │ y2(t) = beta10(t) │ , with_states = true, ident_funcs = Nemo.QQMPolyRingElem[beta10(t), beta(t), kbeta, kbeta10, cry(t)*kcryOH, kcryOH + kcrybeta]) │ simplify = :standard │ R = │ Multivariate polynomial ring in 15 variables beta(t), cry(t), zea(t), beta10(t), ..., kzea │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[beta(t), cry(t), zea(t), beta10(t), OHbeta10(t), betaio(t), OHbetaio(t), y1(t), y2(t), kOHbeta10, kbeta, kbeta10, kcryOH, kcrybeta, kzea] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.015475906 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.008231198 seconds [ Info: Dimensions of the Wronskians [4, 2, 10] [ Info: Ranks of the Wronskians computed in 2.945e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000143059 [ Info: Selecting generators in 0.009273106 [ Info: Inclusion checked with probability 0.995 in 0.008264127 seconds [ Info: The search for identifiable functions concluded in 0.066352234 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 0.016758372 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.009073338 seconds [ Info: Dimensions of the Wronskians [4, 2, 10] [ Info: Ranks of the Wronskians computed in 3.092e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000144569 [ Info: Selecting generators in 0.008972319 [ Info: Inclusion checked with probability 0.995 in 0.008227628 seconds [ Info: The search for identifiable functions concluded in 0.071820673 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 0.015681844 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.008288517 seconds [ Info: Dimensions of the Wronskians [4, 2, 10] [ Info: Ranks of the Wronskians computed in 3.06e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000170168 [ Info: Selecting generators in 0.009137378 [ Info: Inclusion checked with probability 0.995 in 0.008413305 seconds [ Info: The search for identifiable functions concluded in 0.081374175 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 0.01688039 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.009255136 seconds [ Info: Dimensions of the Wronskians [4, 2, 10] [ Info: Ranks of the Wronskians computed in 3.7189e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.063284798 [ Info: Selecting generators in 0.009233706 [ Info: Inclusion checked with probability 0.995 in 0.008189008 seconds [ Info: The search for identifiable functions concluded in 0.13247068 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 0.017104988 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.009170047 seconds [ Info: Dimensions of the Wronskians [4, 2, 10] [ Info: Ranks of the Wronskians computed in 3.053e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.064411556 [ Info: Selecting generators in 0.008947289 [ Info: Inclusion checked with probability 0.995 in 0.007618284 seconds [ Info: The search for identifiable functions concluded in 0.136784492 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 0.016720702 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00890158 seconds [ Info: Dimensions of the Wronskians [4, 2, 10] [ Info: Ranks of the Wronskians computed in 3.055e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.064543824 [ Info: Selecting generators in 0.009149327 [ Info: Inclusion checked with probability 0.995 in 0.008656123 seconds [ Info: The search for identifiable functions concluded in 0.134742775 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 0.001581632 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.0659e-5 [ Info: Selecting generators in 0.000196467 [ Info: Inclusion checked with probability 0.995 in 0.002272475 seconds [ Info: The search for identifiable functions concluded in 0.010384643 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 0.001583082 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000110249 [ Info: Selecting generators in 0.000214227 [ Info: Inclusion checked with probability 0.995 in 0.002196555 seconds [ Info: The search for identifiable functions concluded in 0.010277625 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 0.001545913 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.5479e-5 [ Info: Selecting generators in 0.000169578 [ Info: Inclusion checked with probability 0.995 in 0.002140056 seconds [ Info: The search for identifiable functions concluded in 0.009845619 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 0.001532263 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002205305 [ Info: Selecting generators in 0.000238748 [ Info: Inclusion checked with probability 0.995 in 0.002086597 seconds [ Info: The search for identifiable functions concluded in 0.011896986 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 0.001548743 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002186535 [ Info: Selecting generators in 0.000219157 [ Info: Inclusion checked with probability 0.995 in 0.002186816 seconds [ Info: The search for identifiable functions concluded in 0.012048055 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 0.001538602 seconds [ Info: No parameters, so Wronskian computation is not needed [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.002052266 [ Info: Selecting generators in 0.000239687 [ Info: Inclusion checked with probability 0.995 in 0.002123786 seconds [ Info: The search for identifiable functions concluded in 0.011702898 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 0.012717687 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.037884354 seconds [ Info: Dimensions of the Wronskians [80] [ Info: Ranks of the Wronskians computed in 0.000374305 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.01867061 [ Info: Selecting generators in 0.009678271 [ Info: Inclusion checked with probability 0.995 in 0.034273094 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000194468 [ Info: Selecting generators in 0.009350235 [ Info: Inclusion checked with probability 0.995 in 0.014194501 seconds [ Info: The search for identifiable functions concluded in 0.286053004 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[g, d, I(t), U(t)*a + I(t)*a, E(t)//(U(t) + I(t)), S(t)//(U(t) + I(t)), (N*a)//b] │ case = │ (ode = S'(t) = (-S(t)*U(t)*b - S(t)*I(t)*b)//N │ E'(t) = (S(t)*U(t)*b + S(t)*I(t)*b - E(t)*N*g)//N │ U'(t) = -E(t)*a*g + E(t)*g - U(t)*d │ I'(t) = E(t)*a*g - I(t)*d │ y(t) = I(t) │ , ident_funcs = AbstractAlgebra.RingElem[I(t), d, g, S(t)*a, E(t)*a, U(t)*a + I(t)*a, (N*a)//b], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 10 variables S(t), E(t), U(t), I(t), ..., g │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.01240346 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.039056951 seconds [ Info: Dimensions of the Wronskians [80] [ Info: Ranks of the Wronskians computed in 0.000366136 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.019666818 [ Info: Selecting generators in 0.010312694 [ Info: Inclusion checked with probability 0.995 in 0.035269523 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000219148 [ Info: Selecting generators in 0.009618522 [ Info: Inclusion checked with probability 0.995 in 0.014533347 seconds [ Info: The search for identifiable functions concluded in 0.986991602 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[g, d, I(t), U(t)*a + I(t)*a, E(t)//(U(t) + I(t)), S(t)//(U(t) + I(t)), (N*a)//b] │ case = │ (ode = S'(t) = (-S(t)*U(t)*b - S(t)*I(t)*b)//N │ E'(t) = (S(t)*U(t)*b + S(t)*I(t)*b - E(t)*N*g)//N │ U'(t) = -E(t)*a*g + E(t)*g - U(t)*d │ I'(t) = E(t)*a*g - I(t)*d │ y(t) = I(t) │ , ident_funcs = AbstractAlgebra.RingElem[I(t), d, g, S(t)*a, E(t)*a, U(t)*a + I(t)*a, (N*a)//b], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 10 variables S(t), E(t), U(t), I(t), ..., g │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.012958424 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.038484417 seconds [ Info: Dimensions of the Wronskians [80] [ Info: Ranks of the Wronskians computed in 0.000361906 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.020065685 [ Info: Selecting generators in 0.010479602 [ Info: Inclusion checked with probability 0.995 in 0.034984236 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000199038 [ Info: Selecting generators in 0.00975856 [ Info: Inclusion checked with probability 0.995 in 0.01419611 seconds [ Info: The search for identifiable functions concluded in 0.298274746 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[g, d, I(t), U(t)*a + I(t)*a, E(t)//(U(t) + I(t)), S(t)//(U(t) + I(t)), (N*a)//b] │ case = │ (ode = S'(t) = (-S(t)*U(t)*b - S(t)*I(t)*b)//N │ E'(t) = (S(t)*U(t)*b + S(t)*I(t)*b - E(t)*N*g)//N │ U'(t) = -E(t)*a*g + E(t)*g - U(t)*d │ I'(t) = E(t)*a*g - I(t)*d │ y(t) = I(t) │ , ident_funcs = AbstractAlgebra.RingElem[I(t), d, g, S(t)*a, E(t)*a, U(t)*a + I(t)*a, (N*a)//b], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 10 variables S(t), E(t), U(t), I(t), ..., g │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.013252601 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.038829634 seconds [ Info: Dimensions of the Wronskians [80] [ Info: Ranks of the Wronskians computed in 0.000361516 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.019271273 [ Info: Selecting generators in 0.01068113 [ Info: Inclusion checked with probability 0.995 in 0.034785018 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.221187862 [ Info: Selecting generators in 0.015849491 [ Info: Inclusion checked with probability 0.995 in 0.013851144 seconds [ Info: The search for identifiable functions concluded in 0.517795687 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[g, d, I(t), E(t)*a, S(t)*a, U(t)*a + I(t)*a, (N*a)//b] │ case = │ (ode = S'(t) = (-S(t)*U(t)*b - S(t)*I(t)*b)//N │ E'(t) = (S(t)*U(t)*b + S(t)*I(t)*b - E(t)*N*g)//N │ U'(t) = -E(t)*a*g + E(t)*g - U(t)*d │ I'(t) = E(t)*a*g - I(t)*d │ y(t) = I(t) │ , ident_funcs = AbstractAlgebra.RingElem[I(t), d, g, S(t)*a, E(t)*a, U(t)*a + I(t)*a, (N*a)//b], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 10 variables S(t), E(t), U(t), I(t), ..., g │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[S(t), E(t), U(t), I(t), y(t), N, a, b, d, g] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.012961214 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.038724555 seconds [ Info: Dimensions of the Wronskians [80] [ Info: Ranks of the Wronskians computed in 0.000361726 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.631609889 [ Info: Selecting generators in 0.012796836 [ Info: Inclusion checked with probability 0.995 in 0.04183306 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.383276938 [ Info: Selecting generators in 0.014981572 [ Info: Inclusion checked with probability 0.995 in 0.013190651 seconds [ Info: The search for identifiable functions concluded in 2.318446514 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[g, d, I(t), E(t)*a, S(t)*a, U(t)*a + I(t)*a, (N*a)//b] │ case = │ (ode = S'(t) = (-S(t)*U(t)*b - S(t)*I(t)*b)//N │ E'(t) = (S(t)*U(t)*b + S(t)*I(t)*b - E(t)*N*g)//N │ U'(t) = -E(t)*a*g + E(t)*g - U(t)*d │ I'(t) = E(t)*a*g - I(t)*d │ y(t) = I(t) │ , ident_funcs = AbstractAlgebra.RingElem[I(t), d, g, S(t)*a, E(t)*a, U(t)*a + I(t)*a, (N*a)//b], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 10 variables S(t), E(t), U(t), I(t), ..., g │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[S(t), E(t), U(t), I(t), y(t), N, a, b, d, g] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.011756748 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.035219634 seconds [ Info: Dimensions of the Wronskians [80] [ Info: Ranks of the Wronskians computed in 0.000498085 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.019825757 [ Info: Selecting generators in 0.009851089 [ Info: Inclusion checked with probability 0.995 in 0.033840709 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.21506714 [ Info: Selecting generators in 0.015428076 [ Info: Inclusion checked with probability 0.995 in 0.013421429 seconds [ Info: The search for identifiable functions concluded in 0.504149668 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[g, d, I(t), E(t)*a, S(t)*a, U(t)*a + I(t)*a, (N*a)//b] │ case = │ (ode = S'(t) = (-S(t)*U(t)*b - S(t)*I(t)*b)//N │ E'(t) = (S(t)*U(t)*b + S(t)*I(t)*b - E(t)*N*g)//N │ U'(t) = -E(t)*a*g + E(t)*g - U(t)*d │ I'(t) = E(t)*a*g - I(t)*d │ y(t) = I(t) │ , ident_funcs = AbstractAlgebra.RingElem[I(t), d, g, S(t)*a, E(t)*a, U(t)*a + I(t)*a, (N*a)//b], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 10 variables S(t), E(t), U(t), I(t), ..., g │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[S(t), E(t), U(t), I(t), y(t), N, a, b, d, g] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.001160657 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000834041 seconds [ Info: Dimensions of the Wronskians [2] [ 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 0.001138257 [ Info: Selecting generators in 0.000688213 [ Info: Inclusion checked with probability 0.995 in 0.001737201 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 8.9279e-5 [ Info: Selecting generators in 0.001225136 [ Info: Inclusion checked with probability 0.995 in 0.003175224 seconds [ Info: The search for identifiable functions concluded in 0.021452389 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 0.001115728 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.0008483 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.897e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001113588 [ Info: Selecting generators in 0.000661242 [ Info: Inclusion checked with probability 0.995 in 0.001806409 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.4049e-5 [ Info: Selecting generators in 0.001219696 [ Info: Inclusion checked with probability 0.995 in 0.002867738 seconds [ Info: The search for identifiable functions concluded in 0.021533918 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 0.001126228 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000800851 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.955e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001045278 [ Info: Selecting generators in 0.000795611 [ Info: Inclusion checked with probability 0.995 in 0.00174472 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 9.1849e-5 [ Info: Selecting generators in 0.001269976 [ Info: Inclusion checked with probability 0.995 in 0.00273167 seconds [ Info: The search for identifiable functions concluded in 0.020893175 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 0.001032018 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000773421 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.699e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.000988599 [ Info: Selecting generators in 0.000586284 [ Info: Inclusion checked with probability 0.995 in 0.001640622 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.003317583 [ Info: Selecting generators in 0.00180019 [ Info: Inclusion checked with probability 0.995 in 0.002558731 seconds [ Info: The search for identifiable functions concluded in 0.023445646 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 0.001106378 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000809841 seconds [ Info: Dimensions of the Wronskians [2] [ Info: Ranks of the Wronskians computed in 1.788e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.001066448 [ Info: Selecting generators in 0.000640492 [ Info: Inclusion checked with probability 0.995 in 0.00178403 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.003264733 [ Info: Selecting generators in 0.001841489 [ Info: Inclusion checked with probability 0.995 in 0.002479362 seconds [ Info: The search for identifiable functions concluded in 0.023902181 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 0.001037768 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.000786941 seconds [ Info: Dimensions of the Wronskians [2] [ 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 0.001000718 [ Info: Selecting generators in 0.000625393 [ Info: Inclusion checked with probability 0.995 in 0.00171613 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.003296703 [ Info: Selecting generators in 0.001817379 [ Info: Inclusion checked with probability 0.995 in 0.002403363 seconds [ Info: The search for identifiable functions concluded in 0.023577745 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 0.002557121 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001869579 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.9709e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000105429 [ Info: Selecting generators in 0.002979886 [ Info: Inclusion checked with probability 0.995 in 0.003930446 seconds [ Info: The search for identifiable functions concluded in 0.024152508 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 0.002482632 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001848309 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.9129e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000100909 [ Info: Selecting generators in 0.002896157 [ Info: Inclusion checked with probability 0.995 in 0.003918746 seconds [ Info: The search for identifiable functions concluded in 0.024148758 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 0.002526112 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.0018468 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.894e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000111829 [ Info: Selecting generators in 0.002879787 [ Info: Inclusion checked with probability 0.995 in 0.004015585 seconds [ Info: The search for identifiable functions concluded in 0.02401315 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 0.002465472 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.0017986 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.5299e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.017981368 [ Info: Selecting generators in 0.002837979 [ Info: Inclusion checked with probability 0.995 in 0.003857287 seconds [ Info: The search for identifiable functions concluded in 0.040768772 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 0.002526942 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001851939 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.514e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.017753871 [ Info: Selecting generators in 0.002872928 [ Info: Inclusion checked with probability 0.995 in 0.003881286 seconds [ Info: The search for identifiable functions concluded in 0.040113129 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 0.002511022 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001814429 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.47e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.017492154 [ Info: Selecting generators in 0.003175854 [ Info: Inclusion checked with probability 0.995 in 0.004275062 seconds [ Info: The search for identifiable functions concluded in 0.040732862 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 0.002710169 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002066757 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.5459e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.019437661 [ Info: Selecting generators in 0.003178324 [ Info: Inclusion checked with probability 0.995 in 0.004228063 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000150338 [ Info: Selecting generators in 0.008708382 [ Info: Inclusion checked with probability 0.995 in 0.007052341 seconds [ Info: The search for identifiable functions concluded in 0.084128614 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, x1(t), k02 + k12, k01 + k21, k12*k21, x2(t)//k21] │ case = │ (ode = x1'(t) = -x1(t)*k01 - x1(t)*k21 + x2(t)*k12 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, x1(t), k02 + k12, k01 + k21, k12*k21, x2(t)*k12], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), y(t), u(t), ..., v │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002739979 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002191455 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.859e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.019386832 [ Info: Selecting generators in 0.003083145 [ Info: Inclusion checked with probability 0.995 in 0.00442138 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000153488 [ Info: Selecting generators in 0.008498464 [ Info: Inclusion checked with probability 0.995 in 0.006931392 seconds [ Info: The search for identifiable functions concluded in 0.085035644 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, x1(t), k02 + k12, k01 + k21, k12*k21, x2(t)//k21] │ case = │ (ode = x1'(t) = -x1(t)*k01 - x1(t)*k21 + x2(t)*k12 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, x1(t), k02 + k12, k01 + k21, k12*k21, x2(t)*k12], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), y(t), u(t), ..., v │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002859068 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002089326 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.965e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.021578627 [ Info: Selecting generators in 0.00357337 [ Info: Inclusion checked with probability 0.995 in 0.005082613 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000177748 [ Info: Selecting generators in 0.010139496 [ Info: Inclusion checked with probability 0.995 in 0.007849232 seconds [ Info: The search for identifiable functions concluded in 0.094963772 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, x1(t), k02 + k12, k01 + k21, k12*k21, x2(t)//k21] │ case = │ (ode = x1'(t) = -x1(t)*k01 - x1(t)*k21 + x2(t)*k12 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, x1(t), k02 + k12, k01 + k21, k12*k21, x2(t)*k12], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), y(t), u(t), ..., v │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003019766 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002267395 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.993e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.022094301 [ Info: Selecting generators in 0.00357091 [ Info: Inclusion checked with probability 0.995 in 0.004641388 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.081378814 [ Info: Selecting generators in 0.01073515 [ Info: Inclusion checked with probability 0.995 in 0.006657335 seconds [ Info: The search for identifiable functions concluded in 0.174525936 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, x1(t), k02 + k12, k01 + k21, k12*k21, x2(t)*k12] │ case = │ (ode = x1'(t) = -x1(t)*k01 - x1(t)*k21 + x2(t)*k12 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, x1(t), k02 + k12, k01 + k21, k12*k21, x2(t)*k12], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), y(t), u(t), ..., v │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), u(t), k01, k02, k12, k21, v] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002771249 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001995327 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.537e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.019244883 [ Info: Selecting generators in 0.002986266 [ Info: Inclusion checked with probability 0.995 in 0.004095824 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.08183777 [ Info: Selecting generators in 0.012227862 [ Info: Inclusion checked with probability 0.995 in 0.007556745 seconds [ Info: The search for identifiable functions concluded in 0.168144109 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, x1(t), k02 + k12, k01 + k21, k12*k21, x2(t)*k12] │ case = │ (ode = x1'(t) = -x1(t)*k01 - x1(t)*k21 + x2(t)*k12 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, x1(t), k02 + k12, k01 + k21, k12*k21, x2(t)*k12], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), y(t), u(t), ..., v │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), u(t), k01, k02, k12, k21, v] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.003130785 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002282334 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.6289e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.020301821 [ Info: Selecting generators in 0.002935397 [ Info: Inclusion checked with probability 0.995 in 0.003909906 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.076762626 [ Info: Selecting generators in 0.011329373 [ Info: Inclusion checked with probability 0.995 in 0.006969542 seconds [ Info: The search for identifiable functions concluded in 0.164940074 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, x1(t), k02 + k12, k01 + k21, k12*k21, x2(t)*k12] │ case = │ (ode = x1'(t) = -x1(t)*k01 - x1(t)*k21 + x2(t)*k12 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, x1(t), k02 + k12, k01 + k21, k12*k21, x2(t)*k12], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 9 variables x1(t), x2(t), y(t), u(t), ..., v │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), u(t), k01, k02, k12, k21, v] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.004032505 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003812327 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 2.99e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000133519 [ Info: Selecting generators in 0.012055474 [ Info: Inclusion checked with probability 0.995 in 0.008593153 seconds [ Info: The search for identifiable functions concluded in 0.052135273 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 0.003928915 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003833957 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 2.986e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000222397 [ Info: Selecting generators in 0.012286312 [ Info: Inclusion checked with probability 0.995 in 0.009583782 seconds [ Info: The search for identifiable functions concluded in 0.069022073 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 0.004742656 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004893985 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 4.038e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000141739 [ Info: Selecting generators in 0.01235698 [ Info: Inclusion checked with probability 0.995 in 0.00895173 seconds [ Info: The search for identifiable functions concluded in 0.055635144 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 0.004092254 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003890737 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 2.792e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.082747869 [ Info: Selecting generators in 0.016188388 [ Info: Inclusion checked with probability 0.995 in 0.008341586 seconds [ Info: The search for identifiable functions concluded in 0.140052184 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 0.004013685 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004019385 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 2.766e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.081611911 [ Info: Selecting generators in 1.390268767 [ Info: Inclusion checked with probability 0.995 in 0.011062316 seconds [ Info: The search for identifiable functions concluded in 1.514953204 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 0.00531741 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004502539 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 6.314e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.097616191 [ Info: Selecting generators in 0.020577928 [ Info: Inclusion checked with probability 0.995 in 0.008701992 seconds [ Info: The search for identifiable functions concluded in 0.164163433 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 0.004698457 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004110154 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.825e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.0879103 [ Info: Selecting generators in 0.01594143 [ Info: Inclusion checked with probability 0.995 in 0.008368556 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000156328 [ Info: Selecting generators in 0.018548231 [ Info: Inclusion checked with probability 0.995 in 0.01595172 seconds [ Info: The search for identifiable functions concluded in 0.233475183 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 0.004148863 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003675509 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.4449e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.080369355 [ Info: Selecting generators in 0.014543936 [ Info: Inclusion checked with probability 0.995 in 0.007798232 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000151788 [ Info: Selecting generators in 0.017509333 [ Info: Inclusion checked with probability 0.995 in 0.015595904 seconds [ Info: The search for identifiable functions concluded in 0.216038579 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 0.003807147 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00360038 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 3.063e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.078509246 [ Info: Selecting generators in 0.014898193 [ Info: Inclusion checked with probability 0.995 in 0.007660854 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000140159 [ Info: Selecting generators in 0.017270655 [ Info: Inclusion checked with probability 0.995 in 0.01509234 seconds [ Info: The search for identifiable functions concluded in 0.212530818 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 0.003679089 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003627659 seconds [ Info: Dimensions of the Wronskians [15] [ 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 0.076106044 [ Info: Selecting generators in 0.014818804 [ Info: Inclusion checked with probability 0.995 in 0.007716693 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.287775581 [ Info: Selecting generators in 0.019460931 [ Info: Inclusion checked with probability 0.995 in 0.014970132 seconds [ Info: The search for identifiable functions concluded in 0.497824677 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 0.003914485 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003409252 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 2.898e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.07994284 [ Info: Selecting generators in 0.014705234 [ Info: Inclusion checked with probability 0.995 in 0.007552075 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.269789444 [ Info: Selecting generators in 0.019399052 [ Info: Inclusion checked with probability 0.995 in 0.017413234 seconds [ Info: The search for identifiable functions concluded in 0.487516993 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 0.003770388 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003591009 seconds [ Info: Dimensions of the Wronskians [15] [ Info: Ranks of the Wronskians computed in 2.956e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.075690948 [ Info: Selecting generators in 0.01421162 [ Info: Inclusion checked with probability 0.995 in 0.00801811 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.307997474 [ Info: Selecting generators in 0.019980395 [ Info: Inclusion checked with probability 0.995 in 0.014076371 seconds [ Info: The search for identifiable functions concluded in 0.523807815 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 0.005052363 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003993665 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 1.844e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000211358 [ Info: Selecting generators in 0.0150864 [ Info: Inclusion checked with probability 0.995 in 0.012865215 seconds [ Info: The search for identifiable functions concluded in 2.278494151 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 0.00709531 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006148341 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.4149e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000207398 [ Info: Selecting generators in 0.013974743 [ Info: Inclusion checked with probability 0.995 in 0.011856997 seconds [ Info: The search for identifiable functions concluded in 0.145303424 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 0.005811154 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004770997 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 1.805e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000197918 [ Info: Selecting generators in 0.013125333 [ Info: Inclusion checked with probability 0.995 in 0.011137605 seconds [ Info: The search for identifiable functions concluded in 0.127200538 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 0.005444269 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00446698 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 1.826e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.151376996 [ Info: Selecting generators in 0.014432848 [ Info: Inclusion checked with probability 0.995 in 0.007657594 seconds [ Info: The search for identifiable functions concluded in 0.26911386 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 0.005667526 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004694067 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.5539e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.135583073 [ Info: Selecting generators in 0.0141866 [ Info: Inclusion checked with probability 0.995 in 0.007838772 seconds [ Info: The search for identifiable functions concluded in 0.249725978 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 0.004709097 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003801307 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.112e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.124062443 [ Info: Selecting generators in 0.014385448 [ Info: Inclusion checked with probability 0.995 in 0.007518436 seconds [ Info: The search for identifiable functions concluded in 0.236979372 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 0.004826306 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00360959 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.1169e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.121980077 [ Info: Selecting generators in 0.014085831 [ Info: Inclusion checked with probability 0.995 in 0.007832372 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000190378 [ Info: Selecting generators in 0.039619764 [ Info: Inclusion checked with probability 0.995 in 0.016576173 seconds [ Info: The search for identifiable functions concluded in 0.458544167 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, x1(t), k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, k02*k03 + k02*k13 + k03*k12 + k12*k13, x1(t)*k12 + x1(t)*k31 - x2(t)*k12 - x3(t)*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31, (x2(t)*k12 - x3(t)*k13)//(k02 - k03 + k12 - k13)] │ case = │ (ode = x1'(t) = -x1(t)*k12 - x1(t)*k31 + x2(t)*k12 + x3(t)*k13 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ x3'(t) = x1(t)*k31 - x3(t)*k03 - x3(t)*k13 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, x1(t), k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, x2(t)*k12 + x3(t)*k13, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31, x2(t)*k03*k12 + x2(t)*k12*k13 + x3(t)*k02*k13 + x3(t)*k12*k13], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 12 variables x1(t), x2(t), x3(t), y(t), ..., v │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.004732367 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004306891 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.155e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.134389387 [ Info: Selecting generators in 0.014922412 [ Info: Inclusion checked with probability 0.995 in 0.00792446 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000241217 [ Info: Selecting generators in 0.045914772 [ Info: Inclusion checked with probability 0.995 in 0.018113176 seconds [ Info: The search for identifiable functions concluded in 0.505198341 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, x1(t), k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, k02*k03 + k02*k13 + k03*k12 + k12*k13, x1(t)*k12 + x1(t)*k31 - x2(t)*k12 - x3(t)*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31, (x2(t)*k12 - x3(t)*k13)//(k02 - k03 + k12 - k13)] │ case = │ (ode = x1'(t) = -x1(t)*k12 - x1(t)*k31 + x2(t)*k12 + x3(t)*k13 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ x3'(t) = x1(t)*k31 - x3(t)*k03 - x3(t)*k13 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, x1(t), k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, x2(t)*k12 + x3(t)*k13, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31, x2(t)*k03*k12 + x2(t)*k12*k13 + x3(t)*k02*k13 + x3(t)*k12*k13], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 12 variables x1(t), x2(t), x3(t), y(t), ..., v │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.005450178 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004483829 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.0949e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.137154315 [ Info: Selecting generators in 0.016497034 [ Info: Inclusion checked with probability 0.995 in 0.008273117 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000256937 [ Info: Selecting generators in 0.048774681 [ Info: Inclusion checked with probability 0.995 in 0.018793829 seconds [ Info: The search for identifiable functions concluded in 0.535671648 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, x1(t), k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, k02*k03 + k02*k13 + k03*k12 + k12*k13, x1(t)*k12 + x1(t)*k31 - x2(t)*k12 - x3(t)*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31, (x2(t)*k12 - x3(t)*k13)//(k02 - k03 + k12 - k13)] │ case = │ (ode = x1'(t) = -x1(t)*k12 - x1(t)*k31 + x2(t)*k12 + x3(t)*k13 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ x3'(t) = x1(t)*k31 - x3(t)*k03 - x3(t)*k13 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, x1(t), k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, x2(t)*k12 + x3(t)*k13, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31, x2(t)*k03*k12 + x2(t)*k12*k13 + x3(t)*k02*k13 + x3(t)*k12*k13], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 12 variables x1(t), x2(t), x3(t), y(t), ..., v │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.005590567 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004537849 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.24e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.521747562 [ Info: Selecting generators in 0.021522967 [ Info: Inclusion checked with probability 0.995 in 0.009017349 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.840551622 [ Info: Selecting generators in 0.045848393 [ Info: Inclusion checked with probability 0.995 in 0.015408376 seconds [ Info: The search for identifiable functions concluded in 2.770449607 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, x1(t), k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, x2(t)*k12 + x3(t)*k13, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31, x2(t)*k03*k12 + x2(t)*k12*k13 + x3(t)*k02*k13 + x3(t)*k12*k13] │ case = │ (ode = x1'(t) = -x1(t)*k12 - x1(t)*k31 + x2(t)*k12 + x3(t)*k13 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ x3'(t) = x1(t)*k31 - x3(t)*k03 - x3(t)*k13 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, x1(t), k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, x2(t)*k12 + x3(t)*k13, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31, x2(t)*k03*k12 + x2(t)*k12*k13 + x3(t)*k02*k13 + x3(t)*k12*k13], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 12 variables x1(t), x2(t), x3(t), y(t), ..., v │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), u(t), k02, k03, k12, k13, k21, k31, v] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.004812325 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.003997796 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 1.8139e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.119913539 [ Info: Selecting generators in 0.013682006 [ Info: Inclusion checked with probability 0.995 in 0.007383217 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 2.038607762 [ Info: Selecting generators in 0.05768965 [ Info: Inclusion checked with probability 0.995 in 0.018434992 seconds [ Info: The search for identifiable functions concluded in 2.511301998 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, x1(t), k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, x2(t)*k12 + x3(t)*k13, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31, x2(t)*k03*k12 + x2(t)*k12*k13 + x3(t)*k02*k13 + x3(t)*k12*k13] │ case = │ (ode = x1'(t) = -x1(t)*k12 - x1(t)*k31 + x2(t)*k12 + x3(t)*k13 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ x3'(t) = x1(t)*k31 - x3(t)*k03 - x3(t)*k13 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, x1(t), k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, x2(t)*k12 + x3(t)*k13, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31, x2(t)*k03*k12 + x2(t)*k12*k13 + x3(t)*k02*k13 + x3(t)*k12*k13], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 12 variables x1(t), x2(t), x3(t), y(t), ..., v │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), u(t), k02, k03, k12, k13, k21, k31, v] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.005806274 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.004372661 seconds [ Info: Dimensions of the Wronskians [7] [ Info: Ranks of the Wronskians computed in 2.4099e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.133882271 [ Info: Selecting generators in 0.013552267 [ Info: Inclusion checked with probability 0.995 in 0.00710578 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 3.398854148 [ Info: Selecting generators in 0.063416396 [ Info: Inclusion checked with probability 0.995 in 0.017680701 seconds [ Info: The search for identifiable functions concluded in 3.913270411 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[v, x1(t), k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, x2(t)*k12 + x3(t)*k13, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31, x2(t)*k03*k12 + x2(t)*k12*k13 + x3(t)*k02*k13 + x3(t)*k12*k13] │ case = │ (ode = x1'(t) = -x1(t)*k12 - x1(t)*k31 + x2(t)*k12 + x3(t)*k13 + u(t) │ x2'(t) = x1(t)*k21 - x2(t)*k02 - x2(t)*k12 │ x3'(t) = x1(t)*k31 - x3(t)*k03 - x3(t)*k13 │ y(t) = x1(t)//v │ , ident_funcs = Nemo.QQMPolyRingElem[v, x1(t), k12 + k31, k02 + k03 + k13 - k31, k12*k21 + k13*k31, x2(t)*k12 + x3(t)*k13, k02*k03 + k02*k13 + k03*k12 + k12*k13, k02*k13*k31 + k03*k12*k21 + k12*k13*k21 + k12*k13*k31, x2(t)*k03*k12 + x2(t)*k12*k13 + x3(t)*k02*k13 + x3(t)*k12*k13], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 12 variables x1(t), x2(t), x3(t), y(t), ..., v │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), y(t), u(t), k02, k03, k12, k13, k21, k31, v] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.016427175 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00796591 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.4269e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000133458 [ Info: Selecting generators in 0.008508104 [ Info: Inclusion checked with probability 0.995 in 0.006957751 seconds [ Info: The search for identifiable functions concluded in 0.075066214 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 0.015400966 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007730203 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.4849e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000131158 [ Info: Selecting generators in 0.008556224 [ Info: Inclusion checked with probability 0.995 in 0.007241798 seconds [ Info: The search for identifiable functions concluded in 0.074178294 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 0.014801383 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007642024 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 3.621e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000145908 [ Info: Selecting generators in 0.008393975 [ Info: Inclusion checked with probability 0.995 in 0.006862573 seconds [ Info: The search for identifiable functions concluded in 0.072292106 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 0.014930271 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007550985 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.548e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.073882497 [ Info: Selecting generators in 0.00797292 [ Info: Inclusion checked with probability 0.995 in 0.006373688 seconds [ Info: The search for identifiable functions concluded in 0.145025055 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 0.014435067 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006842933 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.354e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.073436363 [ Info: Selecting generators in 0.007950091 [ Info: Inclusion checked with probability 0.995 in 0.006670455 seconds [ Info: The search for identifiable functions concluded in 0.141470335 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 0.014294169 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006771743 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.448e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.068607937 [ Info: Selecting generators in 0.007888511 [ Info: Inclusion checked with probability 0.995 in 0.006446657 seconds [ Info: The search for identifiable functions concluded in 0.136597611 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 0.013965522 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006642105 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.0579e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.063779751 [ Info: Selecting generators in 0.007719523 [ Info: Inclusion checked with probability 0.995 in 0.006369528 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000168838 [ Info: Selecting generators in 0.021899574 [ Info: Inclusion checked with probability 0.995 in 0.01157501 seconds [ Info: The search for identifiable functions concluded in 0.237649521 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a31, a13, x3(t), x2(t), x1(t), a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x2(t)*a42 - x4(t)*a24] │ case = │ (ode = x1'(t) = -x1(t)*a31 + x3(t)*a13 + u(t) │ x2'(t) = -x2(t)*a42 + x4(t)*a24 │ x3'(t) = x1(t)*a31 - x3(t)*a03 - x3(t)*a13 - x3(t)*a43 │ x4'(t) = x2(t)*a42 + x3(t)*a43 - x4(t)*a04 - x4(t)*a24 │ y1(t) = x1(t) │ y2(t) = x2(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a31, a13, x3(t), x2(t), x1(t), a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x2(t)*a42 - x4(t)*a24], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 14 variables x1(t), x2(t), x3(t), x4(t), ..., a43 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.013755145 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006391748 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.46e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.067015494 [ Info: Selecting generators in 0.008335966 [ Info: Inclusion checked with probability 0.995 in 0.00701624 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000175188 [ Info: Selecting generators in 0.024508174 [ Info: Inclusion checked with probability 0.995 in 0.012643587 seconds [ Info: The search for identifiable functions concluded in 0.254517571 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a31, a13, x3(t), x2(t), x1(t), a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x2(t)*a42 - x4(t)*a24] │ case = │ (ode = x1'(t) = -x1(t)*a31 + x3(t)*a13 + u(t) │ x2'(t) = -x2(t)*a42 + x4(t)*a24 │ x3'(t) = x1(t)*a31 - x3(t)*a03 - x3(t)*a13 - x3(t)*a43 │ x4'(t) = x2(t)*a42 + x3(t)*a43 - x4(t)*a04 - x4(t)*a24 │ y1(t) = x1(t) │ y2(t) = x2(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a31, a13, x3(t), x2(t), x1(t), a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x2(t)*a42 - x4(t)*a24], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 14 variables x1(t), x2(t), x3(t), x4(t), ..., a43 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.014929802 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007783102 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.35e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.066892716 [ Info: Selecting generators in 0.008550093 [ Info: Inclusion checked with probability 0.995 in 0.006699384 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000207617 [ Info: Selecting generators in 0.025071067 [ Info: Inclusion checked with probability 0.995 in 0.012714427 seconds [ Info: The search for identifiable functions concluded in 0.256139072 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a31, a13, x3(t), x2(t), x1(t), a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x2(t)*a42 - x4(t)*a24] │ case = │ (ode = x1'(t) = -x1(t)*a31 + x3(t)*a13 + u(t) │ x2'(t) = -x2(t)*a42 + x4(t)*a24 │ x3'(t) = x1(t)*a31 - x3(t)*a03 - x3(t)*a13 - x3(t)*a43 │ x4'(t) = x2(t)*a42 + x3(t)*a43 - x4(t)*a04 - x4(t)*a24 │ y1(t) = x1(t) │ y2(t) = x2(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a31, a13, x3(t), x2(t), x1(t), a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x2(t)*a42 - x4(t)*a24], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 14 variables x1(t), x2(t), x3(t), x4(t), ..., a43 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.015457766 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007548335 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.3559e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.06924525 [ Info: Selecting generators in 0.008612493 [ Info: Inclusion checked with probability 0.995 in 0.006793424 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.530713257 [ Info: Selecting generators in 0.025566942 [ Info: Inclusion checked with probability 0.995 in 0.012658747 seconds [ Info: The search for identifiable functions concluded in 0.798003154 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a31, a13, x3(t), x2(t), x1(t), a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x2(t)*a42 - x4(t)*a24] │ case = │ (ode = x1'(t) = -x1(t)*a31 + x3(t)*a13 + u(t) │ x2'(t) = -x2(t)*a42 + x4(t)*a24 │ x3'(t) = x1(t)*a31 - x3(t)*a03 - x3(t)*a13 - x3(t)*a43 │ x4'(t) = x2(t)*a42 + x3(t)*a43 - x4(t)*a04 - x4(t)*a24 │ y1(t) = x1(t) │ y2(t) = x2(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a31, a13, x3(t), x2(t), x1(t), a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x2(t)*a42 - x4(t)*a24], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 14 variables x1(t), x2(t), x3(t), x4(t), ..., a43 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y1(t), y2(t), u(t), a03, a04, a13, a24, a31, a42, a43] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.015505866 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007801112 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.448e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.481608485 [ Info: Selecting generators in 0.010415912 [ Info: Inclusion checked with probability 0.995 in 0.007733403 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.562123621 [ Info: Selecting generators in 0.022286459 [ Info: Inclusion checked with probability 0.995 in 0.012617058 seconds [ Info: The search for identifiable functions concluded in 2.259450654 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a31, a13, x3(t), x2(t), x1(t), a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x2(t)*a42 - x4(t)*a24] │ case = │ (ode = x1'(t) = -x1(t)*a31 + x3(t)*a13 + u(t) │ x2'(t) = -x2(t)*a42 + x4(t)*a24 │ x3'(t) = x1(t)*a31 - x3(t)*a03 - x3(t)*a13 - x3(t)*a43 │ x4'(t) = x2(t)*a42 + x3(t)*a43 - x4(t)*a04 - x4(t)*a24 │ y1(t) = x1(t) │ y2(t) = x2(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a31, a13, x3(t), x2(t), x1(t), a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x2(t)*a42 - x4(t)*a24], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 14 variables x1(t), x2(t), x3(t), x4(t), ..., a43 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y1(t), y2(t), u(t), a03, a04, a13, a24, a31, a42, a43] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.015630434 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007451036 seconds [ Info: Dimensions of the Wronskians [4, 5] [ Info: Ranks of the Wronskians computed in 2.726e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.064017878 [ Info: Selecting generators in 0.007817551 [ Info: Inclusion checked with probability 0.995 in 0.006279179 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.496965906 [ Info: Selecting generators in 0.025442053 [ Info: Inclusion checked with probability 0.995 in 0.012719987 seconds [ Info: The search for identifiable functions concluded in 0.746851728 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[a31, a13, x3(t), x2(t), x1(t), a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x2(t)*a42 - x4(t)*a24] │ case = │ (ode = x1'(t) = -x1(t)*a31 + x3(t)*a13 + u(t) │ x2'(t) = -x2(t)*a42 + x4(t)*a24 │ x3'(t) = x1(t)*a31 - x3(t)*a03 - x3(t)*a13 - x3(t)*a43 │ x4'(t) = x2(t)*a42 + x3(t)*a43 - x4(t)*a04 - x4(t)*a24 │ y1(t) = x1(t) │ y2(t) = x2(t) │ , ident_funcs = Nemo.QQMPolyRingElem[a31, a13, x3(t), x2(t), x1(t), a03 + a43, a04 + a24 + a42, a24*a43, a04*a42, x2(t)*a42 - x4(t)*a24], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 14 variables x1(t), x2(t), x3(t), x4(t), ..., a43 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y1(t), y2(t), u(t), a03, a04, a13, a24, a31, a42, a43] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.00266982 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002067687 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.787e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000106509 [ Info: Selecting generators in 0.003401171 [ Info: Inclusion checked with probability 0.995 in 0.004903995 seconds [ Info: The search for identifiable functions concluded in 0.028076043 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 0.00266649 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001992678 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.662e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000103409 [ Info: Selecting generators in 0.003320862 [ Info: Inclusion checked with probability 0.995 in 0.004712237 seconds [ Info: The search for identifiable functions concluded in 0.027539719 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 0.002600371 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001977737 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.901e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000113059 [ Info: Selecting generators in 0.003321073 [ Info: Inclusion checked with probability 0.995 in 0.004672417 seconds [ Info: The search for identifiable functions concluded in 0.027878945 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 0.00269442 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002040687 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.023e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.016401585 [ Info: Selecting generators in 0.00348494 [ Info: Inclusion checked with probability 0.995 in 0.004746757 seconds [ Info: The search for identifiable functions concluded in 0.044511178 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 0.002531942 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001942658 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.632e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.015535355 [ Info: Selecting generators in 0.003356373 [ Info: Inclusion checked with probability 0.995 in 0.00450498 seconds [ Info: The search for identifiable functions concluded in 0.042256153 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 0.002522452 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001981028 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.58e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.016596323 [ Info: Selecting generators in 0.003740898 [ Info: Inclusion checked with probability 0.995 in 0.005034543 seconds [ Info: The search for identifiable functions concluded in 0.044027423 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 0.003009316 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002138866 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.959e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.018335354 [ Info: Selecting generators in 0.003438662 [ Info: Inclusion checked with probability 0.995 in 0.00447894 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000134538 [ Info: Selecting generators in 0.007571024 [ Info: Inclusion checked with probability 0.995 in 0.007668544 seconds [ Info: The search for identifiable functions concluded in 0.08606536 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 0.002785709 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002091887 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 2.064e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.016102369 [ Info: Selecting generators in 0.003313363 [ Info: Inclusion checked with probability 0.995 in 0.004683017 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000153398 [ Info: Selecting generators in 0.006582976 [ Info: Inclusion checked with probability 0.995 in 0.006820813 seconds [ Info: The search for identifiable functions concluded in 0.077379717 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 0.002569171 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001955259 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.698e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.015289878 [ Info: Selecting generators in 0.003300492 [ Info: Inclusion checked with probability 0.995 in 0.00444987 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000133539 [ Info: Selecting generators in 0.006577966 [ Info: Inclusion checked with probability 0.995 in 0.006838052 seconds [ Info: The search for identifiable functions concluded in 0.077684794 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 0.002592181 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001971848 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.984e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.015938601 [ Info: Selecting generators in 0.003370072 [ Info: Inclusion checked with probability 0.995 in 0.004590308 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 1.314200657 [ Info: Selecting generators in 0.011168084 [ Info: Inclusion checked with probability 0.995 in 0.008107338 seconds [ Info: The search for identifiable functions concluded in 1.400573333 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 0.003098855 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.002286644 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.92e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.01951331 [ Info: Selecting generators in 0.004079184 [ Info: Inclusion checked with probability 0.995 in 0.00531911 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.089734108 [ Info: Selecting generators in 0.009708781 [ Info: Inclusion checked with probability 0.995 in 0.00706032 seconds [ Info: The search for identifiable functions concluded in 0.182914337 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 0.002886368 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001984778 seconds [ Info: Dimensions of the Wronskians [5] [ Info: Ranks of the Wronskians computed in 1.878e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.016091169 [ Info: Selecting generators in 0.003416391 [ Info: Inclusion checked with probability 0.995 in 0.004777856 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.081207904 [ Info: Selecting generators in 0.0088767 [ Info: Inclusion checked with probability 0.995 in 0.006891953 seconds [ Info: The search for identifiable functions concluded in 0.163540155 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 0.002418893 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001809659 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 1.793e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000116629 [ Info: Selecting generators in 0.004030175 [ Info: Inclusion checked with probability 0.995 in 0.00439075 seconds [ Info: The search for identifiable functions concluded in 0.025429524 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 0.002365244 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001890398 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 1.835e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000116248 [ Info: Selecting generators in 0.004124304 [ Info: Inclusion checked with probability 0.995 in 0.004646058 seconds [ Info: The search for identifiable functions concluded in 0.025851748 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 0.002259464 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00178237 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 1.797e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000117509 [ Info: Selecting generators in 0.004149614 [ Info: Inclusion checked with probability 0.995 in 0.004562769 seconds [ Info: The search for identifiable functions concluded in 0.02574925 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 0.002324574 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00178971 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 1.827e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.021922433 [ Info: Selecting generators in 0.004129134 [ Info: Inclusion checked with probability 0.995 in 0.004378741 seconds [ Info: The search for identifiable functions concluded in 0.047467484 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 0.002218485 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001839659 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 1.933e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.021361049 [ Info: Selecting generators in 0.004189973 [ Info: Inclusion checked with probability 0.995 in 0.004337601 seconds [ Info: The search for identifiable functions concluded in 0.046548425 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 0.002341584 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00172273 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 1.745e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.021391499 [ Info: Selecting generators in 0.004082314 [ Info: Inclusion checked with probability 0.995 in 0.0043913 seconds [ Info: The search for identifiable functions concluded in 0.046603674 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 0.002224994 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001782349 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 1.629e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.02128364 [ Info: Selecting generators in 0.004063534 [ Info: Inclusion checked with probability 0.995 in 0.004660927 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000129899 [ Info: Selecting generators in 0.004696176 [ Info: Inclusion checked with probability 0.995 in 0.00617241 seconds [ Info: The search for identifiable functions concluded in 0.077186189 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p5, p3, p1, x1(t), x2(t)*p4, p2//p4] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*p2 + x1(t)*p1 │ x2'(t) = x1(t)*x2(t)*p5 - x2(t)^2*p3*p4 + x2(t)*p3 │ y(t) = x1(t) │ , ident_funcs = AbstractAlgebra.RingElem[p5, p3, p1, x1(t), x2(t)*p4, p2//p4], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 8 variables x1(t), x2(t), y(t), p1, ..., p5 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002261625 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001802629 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 1.7199e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.021168121 [ Info: Selecting generators in 0.003941366 [ Info: Inclusion checked with probability 0.995 in 0.004331861 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000130999 [ Info: Selecting generators in 0.004772346 [ Info: Inclusion checked with probability 0.995 in 0.006291319 seconds [ Info: The search for identifiable functions concluded in 0.076995872 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p5, p3, p1, x1(t), x2(t)*p4, p2//p4] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*p2 + x1(t)*p1 │ x2'(t) = x1(t)*x2(t)*p5 - x2(t)^2*p3*p4 + x2(t)*p3 │ y(t) = x1(t) │ , ident_funcs = AbstractAlgebra.RingElem[p5, p3, p1, x1(t), x2(t)*p4, p2//p4], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 8 variables x1(t), x2(t), y(t), p1, ..., p5 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002217665 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001707141 seconds [ Info: Dimensions of the Wronskians [6] [ 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 0.020842515 [ Info: Selecting generators in 0.003904526 [ Info: Inclusion checked with probability 0.995 in 0.004289202 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000131628 [ Info: Selecting generators in 0.004708837 [ Info: Inclusion checked with probability 0.995 in 0.006370468 seconds [ Info: The search for identifiable functions concluded in 0.075833735 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p5, p3, p1, x1(t), x2(t)*p4, p2//p4] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*p2 + x1(t)*p1 │ x2'(t) = x1(t)*x2(t)*p5 - x2(t)^2*p3*p4 + x2(t)*p3 │ y(t) = x1(t) │ , ident_funcs = AbstractAlgebra.RingElem[p5, p3, p1, x1(t), x2(t)*p4, p2//p4], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 8 variables x1(t), x2(t), y(t), p1, ..., p5 │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002287674 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00178089 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 1.926e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.020861785 [ Info: Selecting generators in 0.004197843 [ Info: Inclusion checked with probability 0.995 in 0.004341591 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.064442794 [ Info: Selecting generators in 0.006987762 [ Info: Inclusion checked with probability 0.995 in 0.006802493 seconds [ Info: The search for identifiable functions concluded in 0.144771216 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p5, p3, p1, x1(t), x2(t)*p4, p2//p4] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*p2 + x1(t)*p1 │ x2'(t) = x1(t)*x2(t)*p5 - x2(t)^2*p3*p4 + x2(t)*p3 │ y(t) = x1(t) │ , ident_funcs = AbstractAlgebra.RingElem[p5, p3, p1, x1(t), x2(t)*p4, p2//p4], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 8 variables x1(t), x2(t), y(t), p1, ..., p5 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), p1, p2, p3, p4, p5] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002500771 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001760111 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 1.923e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.021839474 [ Info: Selecting generators in 0.004642097 [ Info: Inclusion checked with probability 0.995 in 0.004955464 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.060886563 [ Info: Selecting generators in 0.006626215 [ Info: Inclusion checked with probability 0.995 in 0.00619218 seconds [ Info: The search for identifiable functions concluded in 0.145291411 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p5, p3, p1, x1(t), x2(t)*p4, p2//p4] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*p2 + x1(t)*p1 │ x2'(t) = x1(t)*x2(t)*p5 - x2(t)^2*p3*p4 + x2(t)*p3 │ y(t) = x1(t) │ , ident_funcs = AbstractAlgebra.RingElem[p5, p3, p1, x1(t), x2(t)*p4, p2//p4], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 8 variables x1(t), x2(t), y(t), p1, ..., p5 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), p1, p2, p3, p4, p5] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.002253704 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.001764171 seconds [ Info: Dimensions of the Wronskians [6] [ Info: Ranks of the Wronskians computed in 2.04e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.020216422 [ Info: Selecting generators in 0.004030875 [ Info: Inclusion checked with probability 0.995 in 0.00443654 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.059952774 [ Info: Selecting generators in 0.006764134 [ Info: Inclusion checked with probability 0.995 in 0.00618156 seconds [ Info: The search for identifiable functions concluded in 0.139656145 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[p5, p3, p1, x1(t), x2(t)*p4, p2//p4] │ case = │ (ode = x1'(t) = -x1(t)*x2(t)*p2 + x1(t)*p1 │ x2'(t) = x1(t)*x2(t)*p5 - x2(t)^2*p3*p4 + x2(t)*p3 │ y(t) = x1(t) │ , ident_funcs = AbstractAlgebra.RingElem[p5, p3, p1, x1(t), x2(t)*p4, p2//p4], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 8 variables x1(t), x2(t), y(t), p1, ..., p5 │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), y(t), p1, p2, p3, p4, p5] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.012838435 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005765705 seconds [ Info: Dimensions of the Wronskians [4, 7] [ Info: Ranks of the Wronskians computed in 2.802e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000164828 [ Info: Selecting generators in 0.014691314 [ Info: Inclusion checked with probability 0.995 in 0.010768088 seconds [ Info: The search for identifiable functions concluded in 0.17368827 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 0.012541438 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005814154 seconds [ Info: Dimensions of the Wronskians [4, 7] [ Info: Ranks of the Wronskians computed in 2.487e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000253887 [ Info: Selecting generators in 0.014761864 [ Info: Inclusion checked with probability 0.995 in 0.010806498 seconds [ Info: The search for identifiable functions concluded in 0.171826621 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 0.012707467 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.005652146 seconds [ Info: Dimensions of the Wronskians [4, 7] [ Info: Ranks of the Wronskians computed in 2.504e-5 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000197808 [ Info: Selecting generators in 0.017163447 [ Info: Inclusion checked with probability 0.995 in 0.012109573 seconds [ Info: The search for identifiable functions concluded in 0.177883154 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 0.013657866 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00705027 seconds [ Info: Dimensions of the Wronskians [4, 7] [ 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 0.26415321 [ Info: Selecting generators in 0.023378487 [ Info: Inclusion checked with probability 0.995 in 0.014002312 seconds [ Info: The search for identifiable functions concluded in 0.461479894 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 0.016490464 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00799255 seconds [ Info: Dimensions of the Wronskians [4, 7] [ Info: Ranks of the Wronskians computed in 2.5599e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 2.522439738 [ Info: Selecting generators in 0.026629959 [ Info: Inclusion checked with probability 0.995 in 0.013395589 seconds [ Info: The search for identifiable functions concluded in 2.762660827 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 0.015250678 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.008773561 seconds [ Info: Dimensions of the Wronskians [4, 7] [ Info: Ranks of the Wronskians computed in 2.42e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.253032154 [ Info: Selecting generators in 0.019812306 [ Info: Inclusion checked with probability 0.995 in 0.010973027 seconds [ Info: The search for identifiable functions concluded in 0.457496167 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 0.012852875 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006682885 seconds [ Info: Dimensions of the Wronskians [4, 7] [ Info: Ranks of the Wronskians computed in 2.413e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.215513198 [ Info: Selecting generators in 0.017489893 [ Info: Inclusion checked with probability 0.995 in 0.010277114 seconds [ Info: Simplifying generating set. Simplification level: weak [ Info: Search for polynomial generators concluded in 0.000237167 [ Info: Selecting generators in 0.053794683 [ Info: Inclusion checked with probability 0.995 in 0.03723709 seconds [ Info: The search for identifiable functions concluded in 1.326777056 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[s, d, beta, x4(t), x1(t), c + k1 + mu1 + mu2, k2*q2, x3(t)*k2 - x4(t)*c, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2, (x2(t)*x4(t)*k1 - x3(t)^2*k2 + x3(t)*x4(t)*c - x3(t)*x4(t)*mu2)//(x4(t)*q2)] │ case = │ (ode = x1'(t) = -x1(t)*x4(t)*beta - x1(t)*d + s │ x2'(t) = x1(t)*x4(t)*beta*q1 - x2(t)*k1 - x2(t)*mu1 │ x3'(t) = x1(t)*x4(t)*beta*q2 + x2(t)*k1 - x3(t)*mu2 │ x4'(t) = x3(t)*k2 - x4(t)*c │ y1(t) = x1(t) │ y2(t) = x4(t) │ , ident_funcs = Nemo.QQMPolyRingElem[s, d, beta, x4(t), x1(t), c + k1 + mu1 + mu2, k2*q2, x3(t)*k2 - x4(t)*c, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2, x2(t)*k1*k2 + x3(t)*k1*k2 + x3(t)*k2*mu1 + x4(t)*k1*mu2 + x4(t)*mu1*mu2], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 16 variables x1(t), x2(t), x3(t), x4(t), ..., s │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.014346138 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006794323 seconds [ Info: Dimensions of the Wronskians [4, 7] [ Info: Ranks of the Wronskians computed in 2.361e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.232460346 [ Info: Selecting generators in 0.021633726 [ Info: Inclusion checked with probability 0.995 in 0.012605608 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:00 Points: 258   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.000264997 [ Info: Selecting generators in 0.05762496 [ Info: Inclusion checked with probability 0.995 in 0.038041481 seconds [ Info: The search for identifiable functions concluded in 1.515102958 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[s, d, beta, x4(t), x1(t), c + k1 + mu1 + mu2, k2*q2, x3(t)*k2 - x4(t)*c, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2, (x2(t)*x4(t)*k1 - x3(t)^2*k2 + x3(t)*x4(t)*c - x3(t)*x4(t)*mu2)//(x4(t)*q2)] │ case = │ (ode = x1'(t) = -x1(t)*x4(t)*beta - x1(t)*d + s │ x2'(t) = x1(t)*x4(t)*beta*q1 - x2(t)*k1 - x2(t)*mu1 │ x3'(t) = x1(t)*x4(t)*beta*q2 + x2(t)*k1 - x3(t)*mu2 │ x4'(t) = x3(t)*k2 - x4(t)*c │ y1(t) = x1(t) │ y2(t) = x4(t) │ , ident_funcs = Nemo.QQMPolyRingElem[s, d, beta, x4(t), x1(t), c + k1 + mu1 + mu2, k2*q2, x3(t)*k2 - x4(t)*c, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2, x2(t)*k1*k2 + x3(t)*k1*k2 + x3(t)*k2*mu1 + x4(t)*k1*mu2 + x4(t)*mu1*mu2], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 16 variables x1(t), x2(t), x3(t), x4(t), ..., s │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.017360814 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.007758642 seconds [ Info: Dimensions of the Wronskians [4, 7] [ Info: Ranks of the Wronskians computed in 2.7749e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.267004326 [ Info: Selecting generators in 0.019908085 [ Info: Inclusion checked with probability 0.995 in 0.011772587 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:00 Points: 302   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 0.000257567 [ Info: Selecting generators in 0.057279733 [ Info: Inclusion checked with probability 0.995 in 0.035580309 seconds [ Info: The search for identifiable functions concluded in 2.967935071 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[s, d, beta, x4(t), x1(t), c + k1 + mu1 + mu2, k2*q2, x3(t)*k2 - x4(t)*c, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2, (x2(t)*x4(t)*k1 - x3(t)^2*k2 + x3(t)*x4(t)*c - x3(t)*x4(t)*mu2)//(x4(t)*q2)] │ case = │ (ode = x1'(t) = -x1(t)*x4(t)*beta - x1(t)*d + s │ x2'(t) = x1(t)*x4(t)*beta*q1 - x2(t)*k1 - x2(t)*mu1 │ x3'(t) = x1(t)*x4(t)*beta*q2 + x2(t)*k1 - x3(t)*mu2 │ x4'(t) = x3(t)*k2 - x4(t)*c │ y1(t) = x1(t) │ y2(t) = x4(t) │ , ident_funcs = Nemo.QQMPolyRingElem[s, d, beta, x4(t), x1(t), c + k1 + mu1 + mu2, k2*q2, x3(t)*k2 - x4(t)*c, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2, x2(t)*k1*k2 + x3(t)*k1*k2 + x3(t)*k2*mu1 + x4(t)*k1*mu2 + x4(t)*mu1*mu2], with_states = true) │ simplify = :weak │ R = │ Multivariate polynomial ring in 16 variables x1(t), x2(t), x3(t), x4(t), ..., s │ over rational field └ with_states = true [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.013868983 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006295909 seconds [ Info: Dimensions of the Wronskians [4, 7] [ Info: Ranks of the Wronskians computed in 2.59e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.217752591 [ Info: Selecting generators in 0.018235944 [ Info: Inclusion checked with probability 0.995 in 0.010724229 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:00 Points: 272   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 3.750421287 [ Info: Selecting generators in 0.059360999 [ Info: Inclusion checked with probability 0.995 in 0.033047727 seconds [ Info: The search for identifiable functions concluded in 5.100054815 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[s, d, beta, x4(t), x1(t), c + k1 + mu1 + mu2, k2*q2, x3(t)*k2 - x4(t)*c, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2, x2(t)*k1*k2 + x3(t)*k1*k2 + x3(t)*k2*mu1 + x4(t)*k1*mu2 + x4(t)*mu1*mu2] │ case = │ (ode = x1'(t) = -x1(t)*x4(t)*beta - x1(t)*d + s │ x2'(t) = x1(t)*x4(t)*beta*q1 - x2(t)*k1 - x2(t)*mu1 │ x3'(t) = x1(t)*x4(t)*beta*q2 + x2(t)*k1 - x3(t)*mu2 │ x4'(t) = x3(t)*k2 - x4(t)*c │ y1(t) = x1(t) │ y2(t) = x4(t) │ , ident_funcs = Nemo.QQMPolyRingElem[s, d, beta, x4(t), x1(t), c + k1 + mu1 + mu2, k2*q2, x3(t)*k2 - x4(t)*c, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2, x2(t)*k1*k2 + x3(t)*k1*k2 + x3(t)*k2*mu1 + x4(t)*k1*mu2 + x4(t)*mu1*mu2], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 16 variables x1(t), x2(t), x3(t), x4(t), ..., s │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y1(t), y2(t), beta, c, d, k1, k2, mu1, mu2, q1, q2, s] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.014420908 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.006636285 seconds [ Info: Dimensions of the Wronskians [4, 7] [ Info: Ranks of the Wronskians computed in 2.941e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.206756564 [ Info: Selecting generators in 0.021125331 [ Info: Inclusion checked with probability 0.995 in 0.012193652 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:00 Points: 296   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 1.651015139 [ Info: Selecting generators in 0.066481149 [ Info: Inclusion checked with probability 0.995 in 0.033770568 seconds [ Info: The search for identifiable functions concluded in 4.951280028 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[s, d, beta, x4(t), x1(t), c + k1 + mu1 + mu2, k2*q2, x3(t)*k2 - x4(t)*c, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2, x2(t)*k1*k2 + x3(t)*k1*k2 + x3(t)*k2*mu1 + x4(t)*k1*mu2 + x4(t)*mu1*mu2] │ case = │ (ode = x1'(t) = -x1(t)*x4(t)*beta - x1(t)*d + s │ x2'(t) = x1(t)*x4(t)*beta*q1 - x2(t)*k1 - x2(t)*mu1 │ x3'(t) = x1(t)*x4(t)*beta*q2 + x2(t)*k1 - x3(t)*mu2 │ x4'(t) = x3(t)*k2 - x4(t)*c │ y1(t) = x1(t) │ y2(t) = x4(t) │ , ident_funcs = Nemo.QQMPolyRingElem[s, d, beta, x4(t), x1(t), c + k1 + mu1 + mu2, k2*q2, x3(t)*k2 - x4(t)*c, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2, x2(t)*k1*k2 + x3(t)*k1*k2 + x3(t)*k2*mu1 + x4(t)*k1*mu2 + x4(t)*mu1*mu2], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 16 variables x1(t), x2(t), x3(t), x4(t), ..., s │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y1(t), y2(t), beta, c, d, k1, k2, mu1, mu2, q1, q2, s] [ Info: Computing IO-equations [ Info: Computed IO-equations in 0.013910443 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 0.00616537 seconds [ Info: Dimensions of the Wronskians [4, 7] [ Info: Ranks of the Wronskians computed in 2.911e-5 seconds [ Info: Simplifying generating set. Simplification level: standard [ Info: Search for polynomial generators concluded in 0.220795454 [ Info: Selecting generators in 0.020644297 [ Info: Inclusion checked with probability 0.995 in 0.011609939 seconds [ Info: Simplifying generating set. Simplification level: standard ⌜ # Computing specializations.. Time: 0:00:00 Points: 258   ✓ # Computing specializations.. Time: 0:00:00 [ Info: Search for polynomial generators concluded in 3.936958115 [ Info: Selecting generators in 0.067984661 [ Info: Inclusion checked with probability 0.995 in 0.029528156 seconds [ Info: The search for identifiable functions concluded in 5.373408846 seconds ┌ Info: Test, result_funcs = │ AbstractAlgebra.Generic.FracFieldElem{Nemo.QQMPolyRingElem}[s, d, beta, x4(t), x1(t), c + k1 + mu1 + mu2, k2*q2, x3(t)*k2 - x4(t)*c, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2, x2(t)*k1*k2 + x3(t)*k1*k2 + x3(t)*k2*mu1 + x4(t)*k1*mu2 + x4(t)*mu1*mu2] │ case = │ (ode = x1'(t) = -x1(t)*x4(t)*beta - x1(t)*d + s │ x2'(t) = x1(t)*x4(t)*beta*q1 - x2(t)*k1 - x2(t)*mu1 │ x3'(t) = x1(t)*x4(t)*beta*q2 + x2(t)*k1 - x3(t)*mu2 │ x4'(t) = x3(t)*k2 - x4(t)*c │ y1(t) = x1(t) │ y2(t) = x4(t) │ , ident_funcs = Nemo.QQMPolyRingElem[s, d, beta, x4(t), x1(t), c + k1 + mu1 + mu2, k2*q2, x3(t)*k2 - x4(t)*c, c*k1 + c*mu1 + c*mu2 + k1*mu2 + mu1*mu2, c*k1*mu2 + c*mu1*mu2, k1*k2*q1 + k1*k2*q2 + k2*mu1*q2, x2(t)*k1*k2 + x3(t)*k1*k2 + x3(t)*k2*mu1 + x4(t)*k1*mu2 + x4(t)*mu1*mu2], with_states = true) │ simplify = :standard │ R = │ Multivariate polynomial ring in 16 variables x1(t), x2(t), x3(t), x4(t), ..., s │ over rational field └ with_states = true [ Info: Nemo.QQMPolyRingElem[x1(t), x2(t), x3(t), x4(t), y1(t), y2(t), beta, c, d, k1, k2, mu1, mu2, q1, q2, s] [ Info: Computing IO-equations [ Info: Computed IO-equations in 2.249844483 seconds [ Info: Computing Wronskians [ Info: Computed Wronskians in 2.23550836 seconds [ Info: Dimensions of the Wronskians [279] [ Info: Ranks of the Wronskians computed in 0.008944149 seconds [ Info: Simplifying generating set. Simplification level: weak ⌜ # Computing specializations.. Time: 0:00:06 ⌝ # Computing specializations.. Time: 0:00:07 ✓ # Computing specializations.. Time: 0:00:07 ⌜ # Computing specializations.. Time: 0:00:01 ⌝ # Computing specializations.. Time: 0:00:02 ⌟ # Computing specializations.. Time: 0:00:02 ⌞ # Computing specializations.. Time: 0:00:02 ⌜ # Computing specializations.. Time: 0:00:02 ⌝ # 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: 5   ⌞ # Computing specializations.. Time: 0:00:02 Points: 6   ⌜ # Computing specializations.. Time: 0:00:02 Points: 7   ⌝ # Computing specializations.. Time: 0:00:03 Points: 9   ⌟ # Computing specializations.. Time: 0:00:03 Points: 10   ⌞ # Computing specializations.. Time: 0:00:04 Points: 11   ⌜ # Computing specializations.. Time: 0:00:04 Points: 12   ⌝ # Computing specializations.. Time: 0:00:05 Points: 14   ⌟ # Computing specializations.. Time: 0:00:05 Points: 15   ⌞ # Computing specializations.. Time: 0:00:06 Points: 16   ⌜ # Computing specializations.. Time: 0:00:06 Points: 17   ⌝ # Computing specializations.. Time: 0:00:07 Points: 18   ⌟ # Computing specializations.. Time: 0:00:07 Points: 19   ⌞ # Computing specializations.. Time: 0:00:08 Points: 20   ⌜ # Computing specializations.. Time: 0:00:08 Points: 22   ⌝ # Computing specializations.. Time: 0:00:09 Points: 24   ⌟ # Computing specializations.. Time: 0:00:10 Points: 26   ⌞ # Computing specializations.. Time: 0:00:10 Points: 27   ⌜ # Computing specializations.. Time: 0:00:11 Points: 29   ⌝ # Computing specializations.. Time: 0:00:11 Points: 30   ⌟ # Computing specializations.. Time: 0:00:12 Points: 31   ⌞ # Computing specializations.. Time: 0:00:12 Points: 32   ⌜ # Computing specializations.. Time: 0:00:13 Points: 34   ⌝ # Computing specializations.. Time: 0:00:13 Points: 35   ⌟ # Computing specializations.. Time: 0:00:14 Points: 37   ⌞ # Computing specializations.. Time: 0:00:15 Points: 38   ⌜ # Computing specializations.. Time: 0:00:15 Points: 40   ⌝ # Computing specializations.. Time: 0:00:17 Points: 41   ⌟ # Computing specializations.. Time: 0:00:17 Points: 43   ⌞ # Computing specializations.. Time: 0:00:17 Points: 44   ⌜ # Computing specializations.. Time: 0:00:18 Points: 46   ⌝ # Computing specializations.. Time: 0:00:19 Points: 48   ⌟ # Computing specializations.. Time: 0:00:19 Points: 49   ⌞ # Computing specializations.. Time: 0:00:20 Points: 50   ⌜ # Computing specializations.. Time: 0:00:20 Points: 51   ⌝ # Computing specializations.. Time: 0:00:21 Points: 53   ⌟ # Computing specializations.. Time: 0:00:21 Points: 54   ⌞ # Computing specializations.. Time: 0:00:22 Points: 55   ⌜ # Computing specializations.. Time: 0:00:22 Points: 56   ⌝ # Computing specializations.. Time: 0:00:23 Points: 58   ⌟ # Computing specializations.. Time: 0:00:23 Points: 59   ⌞ # Computing specializations.. Time: 0:00:23 Points: 60   ⌜ # Computing specializations.. Time: 0:00:24 Points: 62   ⌝ # Computing specializations.. Time: 0:00:25 Points: 64   ✓ # Computing specializations.. Time: 0:00:26 ⌜ # Computing specializations.. Time: 0:00:06 ✓ # Computing specializations.. Time: 0:00:06 ⌜ # Computing specializations.. Time: 0:00:00 ⌝ # Computing specializations.. Time: 0:00:01 ⌟ # Computing specializations.. Time: 0:00:01 ⌞ # Computing specializations.. Time: 0:00:02 ⌜ # Computing specializations.. Time: 0:00:02 ⌝ # Computing specializations.. Time: 0:00:03 ⌟ # Computing specializations.. Time: 0:00:04 ⌞ # Computing specializations.. Time: 0:00:04 ⌜ # Computing specializations.. Time: 0:00:04 ⌝ # Computing specializations.. Time: 0:00:04 ⌟ # Computing specializations.. Time: 0:00:05 ⌞ # Computing specializations.. Time: 0:00:06 ⌜ # Computing specializations.. Time: 0:00:06 ⌝ # Computing specializations.. Time: 0:00:07 ⌟ # Computing specializations.. Time: 0:00:07 ✓ # Computing specializations.. Time: 0:00:07 ⌜ # Computing specializations.. Time: 0:00:00 Points: 2   ⌝ # Computing specializations.. Time: 0:00:01 Points: 3   ⌟ # Computing specializations.. Time: 0:00:01 Points: 4   ⌞ # Computing specializations.. Time: 0:00:02 Points: 6   ⌜ # Computing specializations.. Time: 0:00:02 Points: 7   ⌝ # Computing specializations.. Time: 0:00:03 Points: 9   ⌟ # Computing specializations.. Time: 0:00:03 Points: 10   ⌞ # Computing specializations.. Time: 0:00:04 Points: 11   ⌜ # Computing specializations.. Time: 0:00:04 Points: 12   ⌝ # Computing specializations.. Time: 0:00:05 Points: 14   ⌟ # Computing specializations.. Time: 0:00:06 Points: 15   ⌞ # Computing specializations.. Time: 0:00:06 Points: 16   ⌜ # Computing specializations.. Time: 0:00:07 Points: 17   ⌝ # Computing specializations.. Time: 0:00:07 Points: 18   ⌟ # Computing specializations.. Time: 0:00:07 Points: 19   ⌞ # Computing specializations.. Time: 0:00:08 Points: 21   ⌜ # Computing specializations.. Time: 0:00:09 Points: 22   ⌝ # Computing specializations.. Time: 0:00:09 Points: 23   ⌟ # Computing specializations.. Time: 0:00:09 Points: 24   ⌞ # Computing specializations.. Time: 0:00:10 Points: 26  ====================================================================================== Information request received. A stacktrace will print followed by a 1.0 second profile ====================================================================================== cmd: /opt/julia/bin/julia 195 running 1 of 1 signal (10): User defined signal 1 getindex at ./essentials.jl:920 [inlined] ir_extract_coeffs_raw! at /home/pkgeval/.julia/packages/Groebner/Q7HGS/src/input_output/intermediate.jl:212 unknown function (ip: 0x7f2db91cc956) at (unknown file) __groebner_apply1! at /home/pkgeval/.julia/packages/Groebner/Q7HGS/src/groebner/learn_apply.jl:234 unknown function (ip: 0x7f2dba5112d0) at (unknown file) groebner_apply0! at /home/pkgeval/.julia/packages/Groebner/Q7HGS/src/groebner/learn_apply.jl:129 #groebner_apply!#200 at /home/pkgeval/.julia/packages/Groebner/Q7HGS/src/interface.jl:403 [inlined] groebner_apply! at /home/pkgeval/.julia/packages/Groebner/Q7HGS/src/interface.jl:401 unknown function (ip: 0x7f2dba50fe44) at (unknown file) interpolate_exponents! at /home/pkgeval/.julia/packages/ParamPunPam/nx0fr/src/groebner/paramgb.jl:459 _paramgb at /home/pkgeval/.julia/packages/ParamPunPam/nx0fr/src/groebner/paramgb.jl:166 #paramgb#63 at /home/pkgeval/.julia/packages/ParamPunPam/nx0fr/src/groebner/paramgb.jl:108 paramgb at /home/pkgeval/.julia/packages/ParamPunPam/nx0fr/src/groebner/paramgb.jl:65 [inlined] #groebner_basis_coeffs#135 at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/simplification.jl:147 groebner_basis_coeffs at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/simplification.jl:147 unknown function (ip: 0x7f2dcfda66b4) at (unknown file) #simplified_generating_set#137 at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/simplification.jl:319 simplified_generating_set at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/simplification.jl:319 unknown function (ip: 0x7f2db917e8a9) at (unknown file) #_find_identifiable_functions#257 at /home/pkgeval/.julia/packages/StructuralIdentifiability/mw5Vw/src/identifiable_functions.jl:119 _find_identifiable_functions at /home/pkgeval/.julia/packages/StructuralIdentifiability/mw5Vw/src/identifiable_functions.jl:85 [inlined] #255 at /home/pkgeval/.julia/packages/StructuralIdentifiability/mw5Vw/src/identifiable_functions.jl:62 with_logstate at ./logging/logging.jl:542 with_logger at ./logging/logging.jl:653 [inlined] #find_identifiable_functions#253 at /home/pkgeval/.julia/packages/StructuralIdentifiability/mw5Vw/src/identifiable_functions.jl:60 [inlined] find_identifiable_functions at /home/pkgeval/.julia/packages/StructuralIdentifiability/mw5Vw/src/identifiable_functions.jl:48 unknown function (ip: 0x7f2db9176704) at (unknown file) jl_apply at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/julia.h:2391 [inlined] do_call at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:123 eval_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:243 eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:581 eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:558 eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:558 jl_interpret_toplevel_thunk at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:898 jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1035 jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:975 ijl_toplevel_eval at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1047 ijl_toplevel_eval_in at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1092 eval at ./boot.jl:489 include_string at ./loading.jl:2874 _include at ./loading.jl:2934 include at ./Base.jl:307 IncludeInto at ./Base.jl:308 jfptr_IncludeInto_61448.1 at /opt/julia/lib/julia/sys.so (unknown line) jl_apply at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/julia.h:2391 [inlined] do_call at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:123 eval_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:243 eval_stmt_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:194 [inlined] eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:707 eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:558 eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:558 jl_interpret_toplevel_thunk at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:898 jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1035 jl_eval_module_expr at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:197 [inlined] jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:814 ijl_toplevel_eval at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1047 ijl_toplevel_eval_in at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1092 eval at ./boot.jl:489 jfptr_eval_18640.1 at /opt/julia/lib/julia/sys.so (unknown line) jl_apply at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/julia.h:2391 [inlined] do_call at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:123 eval_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:243 eval_stmt_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:194 [inlined] eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:707 jl_interpret_toplevel_thunk at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:898 jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1035 jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:975 ijl_toplevel_eval at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1047 ijl_toplevel_eval_in at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1092 eval at ./boot.jl:489 include_string at ./loading.jl:2874 _include at ./loading.jl:2934 include at ./Base.jl:307 IncludeInto at ./Base.jl:308 jfptr_IncludeInto_61448.1 at /opt/julia/lib/julia/sys.so (unknown line) jl_apply at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/julia.h:2391 [inlined] do_call at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:123 eval_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:243 eval_stmt_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:194 [inlined] eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:707 eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:558 eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:558 jl_interpret_toplevel_thunk at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:898 jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1035 jl_eval_module_expr at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:197 [inlined] jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:814 ijl_toplevel_eval at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1047 ijl_toplevel_eval_in at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1092 eval at ./boot.jl:489 jfptr_eval_18640.1 at /opt/julia/lib/julia/sys.so (unknown line) jl_apply at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/julia.h:2391 [inlined] do_call at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:123 eval_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:243 eval_stmt_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:194 [inlined] eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:707 jl_interpret_toplevel_thunk at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:898 jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1035 ijl_toplevel_eval at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1047 ijl_toplevel_eval_in at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1092 eval at ./boot.jl:489 #_run_body#22 at /home/pkgeval/.julia/packages/SciMLTesting/FF1RX/src/SciMLTesting.jl:960 _run_body at /home/pkgeval/.julia/packages/SciMLTesting/FF1RX/src/SciMLTesting.jl:944 [inlined] _run_core_folder at /home/pkgeval/.julia/packages/SciMLTesting/FF1RX/src/SciMLTesting.jl:1021 _run_folder_group at /home/pkgeval/.julia/packages/SciMLTesting/FF1RX/src/SciMLTesting.jl:1061 #run_tests#23 at /home/pkgeval/.julia/packages/SciMLTesting/FF1RX/src/SciMLTesting.jl:1337 run_tests at /home/pkgeval/.julia/packages/SciMLTesting/FF1RX/src/SciMLTesting.jl:1312 unknown function (ip: 0x7f2dda903adf) at (unknown file) jl_apply at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/julia.h:2391 [inlined] do_call at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:123 eval_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:243 eval_stmt_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:194 [inlined] eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:707 jl_interpret_toplevel_thunk at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:898 jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1035 jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:975 ijl_toplevel_eval at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1047 ijl_toplevel_eval_in at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1092 eval at ./boot.jl:489 include_string at ./loading.jl:2874 _include at ./loading.jl:2934 include at ./Base.jl:307 IncludeInto at ./Base.jl:308 jfptr_IncludeInto_61448.1 at /opt/julia/lib/julia/sys.so (unknown line) jl_apply at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/julia.h:2391 [inlined] do_call at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:123 eval_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:243 eval_stmt_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:194 [inlined] eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:707 jl_interpret_toplevel_thunk at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:898 jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1035 jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:975 ijl_toplevel_eval at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1047 ijl_toplevel_eval_in at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1092 eval at ./boot.jl:489 exec_options at ./client.jl:283 _start at ./client.jl:550 jfptr__start_63319.1 at /opt/julia/lib/julia/sys.so (unknown line) jl_apply at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/julia.h:2391 [inlined] true_main at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/jlapi.c:971 jl_repl_entrypoint at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/jlapi.c:1139 main at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/cli/loader_exe.c:58 unknown function (ip: 0x7f2e02b6f249) at /lib/x86_64-linux-gnu/libc.so.6 __libc_start_main at /lib/x86_64-linux-gnu/libc.so.6 (unknown line) unknown function (ip: 0x4010b8) at /workspace/srcdir/glibc-2.17/csu/../sysdeps/x86_64/start.S unknown function (ip: (nil)) at (unknown file)  ⌜ # Computing specializations.. Time: 0:00:11 Points: 27   ⌝ # Computing specializations.. Time: 0:00:11 Points: 28  ============================================================== Profile collected. A report will print at the next yield point ==============================================================  ┌ Warning: There were no samples collected in one or more groups. │ This may be due to idle threads, or you may need to run your │ program longer (perhaps by running it multiple times), │ or adjust the delay between samples with `Profile.init()`. └ @ Profile /opt/julia/share/julia/stdlib/v1.12/Profile/src/Profile.jl:1361 ⌟ # Computing specializations.. Time: 0:00:12Overhead ╎ [+additional indent] Count File:Line Function ========================================================= Thread 1 (default) Task 0x00007f2de8ffc010 Total snapshots: 345. Utilization: 100% ╎342 @Base/client.jl:550 _start() ╎ 342 @Base/client.jl:283 exec_options(opts::Base.JLOptions) ╎ 342 @Base/boot.jl:489 eval(m::Module, e::Any) ╎ 342 @Base/Base.jl:308 (::Base.IncludeInto)(fname::String) ╎ 342 @Base/Base.jl:307 include(mapexpr::Function, mod::Module, _path::St… ╎ 342 @Base/loading.jl:2934 _include(mapexpr::Function, mod::Module, _pa… ╎ ╎ 342 @Base/loading.jl:2874 include_string(mapexpr::typeof(identity), m… ╎ ╎ 342 @Base/boot.jl:489 eval(m::Module, e::Any) ╎ ╎ 342 @SciMLTesting/…ng.jl:1312 run_tests() ╎ ╎ 342 @SciMLTesting/…ng.jl:1337 run_tests(; core::SciMLTesting._Unse… ╎ ╎ 342 @SciMLTesting/…g.jl:1061 _run_folder_group(group::String, tes… ╎ ╎ ╎ 342 @SciMLTesting/…g.jl:1021 _run_core_folder(test_dir::String) ╎ ╎ ╎ 342 @SciMLTesting/…g.jl:944 _run_body ╎ ╎ ╎ 342 @SciMLTesting/….jl:960 _run_body(body::String; label::Stri… ╎ ╎ ╎ 342 @Base/boot.jl:489 eval(m::Module, e::Any) ╎ ╎ ╎ 342 @Base/boot.jl:489 eval(m::Module, e::Any) ╎ ╎ ╎ ╎ 342 @Base/Base.jl:308 (::Base.IncludeInto)(fname::String) ╎ ╎ ╎ ╎ 342 @Base/Base.jl:307 include(mapexpr::Function, mod::Modu… ╎ ╎ ╎ ╎ 342 @Base/loading.jl:2934 _include(mapexpr::Function, mod… ╎ ╎ ╎ ╎ 342 @Base/loading.jl:2874 include_string(mapexpr::typeof… ╎ ╎ ╎ ╎ 342 @Base/boot.jl:489 eval(m::Module, e::Any) ╎ ╎ ╎ ╎ ╎ 342 @Base/boot.jl:489 eval(m::Module, e::Any) ╎ ╎ ╎ ╎ ╎ 342 @Base/Base.jl:308 (::Base.IncludeInto)(fname::Str… ╎ ╎ ╎ ╎ ╎ 342 @Base/Base.jl:307 include(mapexpr::Function, mod… ╎ ╎ ╎ ╎ ╎ 342 @Base/…ding.jl:2934 _include(mapexpr::Function,… ╎ ╎ ╎ ╎ ╎ 342 @Base/…ing.jl:2874 include_string(mapexpr::typ… ╎ ╎ ╎ ╎ ╎ ╎ 342 @Base/boot.jl:489 eval(m::Module, e::Any) ╎ ╎ ╎ ╎ ╎ ╎ 342 @StructuralIdentifiability/…:48 kwcall(::@Na… ╎ ╎ ╎ ╎ ╎ ╎ 342 @StructuralIdentifiability/…:60 #find_ident… ╎ ╎ ╎ ╎ ╎ ╎ 342 @Base/…ng.jl:653 with_logger ╎ ╎ ╎ ╎ ╎ ╎ 342 @Base/…ng.jl:542 with_logstate(f::Structu… ╎ ╎ ╎ ╎ ╎ ╎ ╎ 342 @StructuralIdentifiability/…:62 (::Struc… ╎ ╎ ╎ ╎ ╎ ╎ ╎ 342 @StructuralIdentifiability/…:85 _find_i… ╎ ╎ ╎ ╎ ╎ ╎ ╎ 342 @StructuralIdentifiability/…:119 _find… ╎ ╎ ╎ ╎ ╎ ╎ ╎ 342 @RationalFunctionFields/…:319 kwcall(… ╎ ╎ ╎ ╎ ╎ ╎ ╎ 342 @RationalFunctionFields/…:319 simpli… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ 342 @RationalFunctionFields/…:147 kwcal… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ 342 @RationalFunctionFields/…:147 groe… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ 342 @ParamPunPam/…:65 paramgb ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ 342 @ParamPunPam/…:108 paramgb(black… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ 342 @ParamPunPam/…:166 _paramgb(bla… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +1 48 @ParamPunPam/…:458 interpolate_… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +2 48 @RationalFunctionFields/…:312 s… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +3 44 @RationalFunctionFields/…:277 f… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +4 44 @Base/…ay.jl:3372 map ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +5 44 @Base/…ay.jl:732 collect_similar ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +6 44 @Base/…ay.jl:820 _collect(c::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +7 44 @Base/…ay.jl:826 collect_to_wit… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +8 44 @Base/…ay.jl:848 collect_to! ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 44 @Base/…or.jl:48 iterate ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 44 @RationalFunctionFields/…:277 #… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Nemo/…ly.jl:548 evaluate(a::Ne… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Nemo/…ly.jl:26 parent 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/…er.jl:54 getproperty 43╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 43 @Nemo/…ly.jl:550 evaluate(a::Ne… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +3 2 @RationalFunctionFields/…:278 f… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +4 2 @Base/…ay.jl:3372 map ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +5 2 @Base/…ay.jl:732 collect_similar ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +6 2 @Base/…ay.jl:820 _collect(c::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +7 2 @Base/…ay.jl:826 collect_to_wit… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +8 2 @Base/…ay.jl:848 collect_to! ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 2 @Base/…or.jl:48 iterate ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 2 @RationalFunctionFields/…:278 #… 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 2 @Nemo/…ly.jl:550 evaluate(a::Ne… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +3 2 @RationalFunctionFields/…:283 f… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +4 1 @Nemo/…ly.jl:315 * 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +5 1 @Nemo/…ly.jl:309 *(a::Nemo.fpMP… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +4 1 @Nemo/…ly.jl:253 -(a::Nemo.fpMP… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +1 294 @ParamPunPam/…:459 interpolate_… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +2 294 @Groebner/…l:401 groebner_apply… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +3 294 @Groebner/…l:403 #groebner_appl… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +4 199 @Groebner/…l:128 groebner_apply… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +5 199 @Groebner/…l:16 io_convert_poly… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +6 118 @Groebner/…l:100 io_extract_coe… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +7 118 @Groebner/…l:120 io_extract_coe… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +8 118 @Base/…ay.jl:3402 map ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 1 @Base/…ay.jl:795 collect(itr::B… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 1 @Base/…ay.jl:669 _array_for_inn… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Base/…ot.jl:647 Array 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Base/…ot.jl:588 GenericMemory ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 117 @Base/…ay.jl:800 collect(itr::B… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 117 @Base/…ay.jl:826 collect_to_wit… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 116 @Base/…ay.jl:848 collect_to!(de… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 12 @Base/…or.jl:45 iterate 5╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 12 @AbstractAlgebra/…:851 iterate 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Nemo/…ly.jl:114 coeff(a::Nemo.… 4╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 4 @Nemo/…ly.jl:117 coeff(a::Nemo.… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 2 @Nemo/…ly.jl:118 coeff(a::Nemo.… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Nemo/…em.jl:432 fpField ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Nemo/…ly.jl:26 parent 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 1 @Base/…er.jl:54 getproperty 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 104 @Base/…or.jl:48 iterate ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 103 @Groebner/…l:108 io_lift_coeff_… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Nemo/…pz.jl:3260 UInt64 ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Nemo/…pz.jl:286 fits ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 1 @Nemo/…pz.jl:264 is_negative ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +17 1 @Nemo/…pz.jl:260 sign ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +18 1 @Nemo/…pz.jl:306 iszero 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +19 1 @Base/…on.jl:637 == 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 40 @Nemo/…pz.jl:3261 UInt64 ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 39 @Nemo/…pz.jl:520 rem ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 39 @Base/gmp.jl:352 rem ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +17 39 @Base/…er.jl:205 flipsign 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +18 1 @Base/…ls.jl:799 ifelse 38╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +18 38 @Base/int.jl:85 - ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 62 @Nemo/…em.jl:44 lift ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 62 @Nemo/…em.jl:43 lift 10╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 10 @Nemo/…es.jl:71 ZZRingElem 47╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 47 @Nemo/…es.jl:72 ZZRingElem ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 5 @Nemo/…es.jl:73 ZZRingElem 5╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +17 5 @Base/…ls.jl:86 finalizer ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Base/…ay.jl:852 collect_to!(de… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Base/…ay.jl:986 setindex! 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/…ay.jl:991 _setindex! ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +6 81 @Groebner/…l:173 io_extract_mon… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +7 81 @Base/…ay.jl:728 collect ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +8 81 @Base/…ay.jl:734 _collect ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 1 @Base/…ay.jl:941 copyto!(dest::… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 1 @Base/…ay.jl:986 setindex! 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Base/…ay.jl:991 _setindex! ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 2 @Base/…ay.jl:942 copyto!(dest::… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 2 @Base/…ge.jl:921 iterate 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 2 @Base/…on.jl:637 == ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 75 @Base/…ay.jl:943 copyto!(dest::… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 75 @AbstractAlgebra/…:861 iterate ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 67 @Nemo/…ly.jl:39 exponent_vector… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 36 @Base/…ay.jl:795 collect ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 36 @Base/…ay.jl:670 _array_for_inn… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 36 @Base/…ay.jl:866 similar ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 36 @Base/…ay.jl:867 similar ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 36 @Base/…ot.jl:660 Array ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +17 31 @Base/…ot.jl:647 Array 31╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +18 31 @Base/…ot.jl:588 GenericMemory 5╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +17 5 @Base/…ot.jl:648 Array ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 27 @Base/…ay.jl:800 collect ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 27 @Base/…ay.jl:826 collect_to_wit… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/…ay.jl:0 collect_to! ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/…ay.jl:848 collect_to! ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/…or.jl:45 iterate ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 1 @Base/…ge.jl:921 iterate 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +17 1 @Base/…on.jl:637 == ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 25 @Base/…ay.jl:852 collect_to! ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 25 @Base/…ay.jl:986 setindex! 25╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 25 @Base/…ay.jl:991 _setindex! ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Base/…ge.jl:5 Colon ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/…ge.jl:415 UnitRange 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/…ge.jl:426 unitrange_last ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Nemo/…ly.jl:28 number_of_varia… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/…er.jl:54 getproperty ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 2 @Nemo/…ly.jl:26 parent 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 2 @Base/…er.jl:54 getproperty 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 7 @Nemo/…ly.jl:40 exponent_vector… 5╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 5 @Nemo/…ly.jl:740 exponent_vecto… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 1 @Base/…ay.jl:662 _similar_for ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 1 @Base/…ay.jl:824 similar ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Base/…ay.jl:832 similar ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Base/…ot.jl:660 Array ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/…ot.jl:647 Array 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/…ot.jl:588 GenericMemory 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 1 @AbstractAlgebra/…:0 copyto!(de… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 1 @Nemo/…ly.jl:38 exponent_vector… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +4 95 @Groebner/…l:129 groebner_apply… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +5 16 @Groebner/…l:218 __groebner_app… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +6 16 @Groebner/…l:61 wrapped_trace_c… 3╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +7 3 @Base/…ls.jl:920 getindex ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +7 13 @Base/…rs.jl:321 != ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +8 1 @Base/…ay.jl:3030 == ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 1 @Base/…rs.jl:321 != ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 1 @Base/…le.jl:544 == ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Base/…le.jl:548 _eq ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Base/…ge.jl:1134 == 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/…on.jl:637 == ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +8 3 @Base/…ay.jl:3034 == ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 3 @Base/…rs.jl:415 iterate ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 3 @Base/…rs.jl:425 _zip_iterate_a… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 2 @Base/…rs.jl:433 _zip_iterate_s… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 2 @Base/…ay.jl:901 iterate ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 2 @Base/…ay.jl:901 iterate 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 2 @Base/…ls.jl:920 getindex ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Base/…rs.jl:435 _zip_iterate_s… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Base/…rs.jl:433 _zip_iterate_s… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/…ay.jl:901 iterate ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/…ay.jl:901 iterate 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/…ls.jl:920 getindex ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +8 1 @Base/…ay.jl:3035 == ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 1 @Base/int.jl:524 == ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 1 @Base/…on.jl:487 == 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Base/…on.jl:637 == ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +8 8 @Base/…ay.jl:3041 == ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 8 @Base/…rs.jl:416 iterate ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 8 @Base/…rs.jl:425 _zip_iterate_a… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 4 @Base/…rs.jl:433 _zip_iterate_s… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 4 @Base/…ay.jl:901 iterate 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/…ls.jl:920 getindex 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 2 @Base/int.jl:86 - ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 4 @Base/…rs.jl:435 _zip_iterate_s… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 4 @Base/…rs.jl:433 _zip_iterate_s… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 4 @Base/…ay.jl:901 iterate 3╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 3 @Base/…ls.jl:920 getindex 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/int.jl:87 + ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +5 76 @Groebner/…l:234 __groebner_app… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +6 1 @Groebner/…l:0 ir_extract_coeff… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +6 2 @Groebner/…l:212 ir_extract_coe… 2╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +7 2 @Base/…ls.jl:920 getindex 71╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +6 73 @Groebner/…l:213 ir_extract_coe… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +7 1 @Base/…er.jl:6 convert(::Type{U… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +5 3 @Groebner/…l:237 __groebner_app… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +6 3 @Groebner/…l:253 groebner_apply… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +7 3 @Groebner/…l:266 _groebner_appl… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +8 3 @Groebner/…l:479 f4_apply!(trac… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 1 @Groebner/…l:397 basis_make_mon… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 1 @Base/…ls.jl:920 getindex ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 1 @Groebner/…l:247 f4_reduction_a… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 1 @Groebner/…l:23 linalg_main! ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Groebner/…l:40 #linalg_main!#88 ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Groebner/…l:193 _linalg_main_w… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Groebner/…l:39 linalg_apply_sp… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Groebner/…l:125 linalg_apply_r… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Groebner/…l:369 linalg_reduce_… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 1 @Groebner/…l:369 linalg_reduce_… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +17 1 @Groebner/…l:428 linalg_reduce_… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +18 1 @Groebner/…l:887 linalg_extract… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +19 1 @Base/…ay.jl:986 setindex! 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +20 1 @Base/…ay.jl:991 _setindex! ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +9 1 @Groebner/…l:294 f4_symbolic_pr… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +10 1 @Groebner/…l:304 matrix_polynom… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +11 1 @Groebner/…l:235 hashtable_resi… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +12 1 @Base/…ay.jl:1482 resize!(a::Ve… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +13 1 @Base/…ay.jl:1131 _growend! ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +14 1 @Base/…ay.jl:1148 (::Base.var"#… ╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +15 1 @Base/…ay.jl:1067 array_new_mem… 1╎ ╎ ╎ ╎ ╎ ╎ ╎ ╎ +16 1 @Base/…ot.jl:588 GenericMemory  Points: 29  ====================================================================================== Information request received. A stacktrace will print followed by a 1.0 second profile ====================================================================================== 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 uv_run at /workspace/srcdir/libuv/src/unix/core.c:430 ijl_task_get_next at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/scheduler.c:457 poptask at ./task.jl:1216 wait at ./task.jl:1228 #wait#398 at ./condition.jl:141 wait at ./condition.jl:136 [inlined] wait at ./process.jl:693 wait at ./process.jl:686 jfptr_wait_72022.1 at /opt/julia/lib/julia/sys.so (unknown line) subprocess_handler at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/usr/share/julia/stdlib/v1.12/Pkg/src/Operations.jl:2556 unknown function (ip: 0x720601d840d3) at (unknown file) #205 at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/usr/share/julia/stdlib/v1.12/Pkg/src/Operations.jl:2496 withenv at ./env.jl:265 #190 at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/usr/share/julia/stdlib/v1.12/Pkg/src/Operations.jl:2311 with_temp_env at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/usr/share/julia/stdlib/v1.12/Pkg/src/Operations.jl:2164 #186 at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/usr/share/julia/stdlib/v1.12/Pkg/src/Operations.jl:2278 #mktempdir#21 at ./file.jl:936 unknown function (ip: 0x720601d7a40c) at (unknown file) mktempdir at ./file.jl:932 mktempdir at ./file.jl:932 #sandbox#182 at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/usr/share/julia/stdlib/v1.12/Pkg/src/Operations.jl:2225 [inlined] sandbox at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/usr/share/julia/stdlib/v1.12/Pkg/src/Operations.jl:2215 unknown function (ip: 0x720601d6ea89) at (unknown file) #test#193 at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/usr/share/julia/stdlib/v1.12/Pkg/src/Operations.jl:2481 test at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/usr/share/julia/stdlib/v1.12/Pkg/src/Operations.jl:2387 [inlined] #test#174 at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/usr/share/julia/stdlib/v1.12/Pkg/src/API.jl:552 test at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/usr/share/julia/stdlib/v1.12/Pkg/src/API.jl:529 unknown function (ip: 0x720601d6dff1) at (unknown file) #test#84 at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/usr/share/julia/stdlib/v1.12/Pkg/src/API.jl:169 unknown function (ip: 0x720601d64cc0) at (unknown file) test at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/usr/share/julia/stdlib/v1.12/Pkg/src/API.jl:158 #test#82 at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/usr/share/julia/stdlib/v1.12/Pkg/src/API.jl:157 test at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/usr/share/julia/stdlib/v1.12/Pkg/src/API.jl:157 [inlined] #test#81 at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/usr/share/julia/stdlib/v1.12/Pkg/src/API.jl:156 [inlined] test at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/usr/share/julia/stdlib/v1.12/Pkg/src/API.jl:156 unknown function (ip: 0x720601d6355f) at (unknown file) jl_apply at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/julia.h:2391 [inlined] do_call at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:123 eval_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:243 eval_stmt_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:194 [inlined] eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:707 eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:558 eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:558 jl_interpret_toplevel_thunk at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:898 jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1035 jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:975 ijl_toplevel_eval at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1047 ijl_toplevel_eval_in at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1092 eval at ./boot.jl:489 include_string at ./loading.jl:2874 _include at ./loading.jl:2934 include at ./Base.jl:306 exec_options at ./client.jl:317 _start at ./client.jl:550 jfptr__start_63319.1 at /opt/julia/lib/julia/sys.so (unknown line) jl_apply at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/julia.h:2391 [inlined] true_main at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/jlapi.c:971 jl_repl_entrypoint at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/jlapi.c:1139 main at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/cli/loader_exe.c:58 unknown function (ip: 0x72061d83a249) at /lib/x86_64-linux-gnu/libc.so.6 __libc_start_main at /lib/x86_64-linux-gnu/libc.so.6 (unknown line) unknown function (ip: 0x4010b8) at /workspace/srcdir/glibc-2.17/csu/../sysdeps/x86_64/start.S unknown function (ip: (nil)) at (unknown file)  ⌞ # Computing specializations.. Time: 0:00:21 Points: 40   ⌜ # Computing specializations.. Time: 0:00:22 Points: 41  ============================================================== Profile collected. A report will print at the next yield point ==============================================================  ⌝ # Computing specializations.. Time: 0:00:22 Points: 42   ⌟ # Computing specializations.. Time: 0:00:23 Points: 43   ⌞ # Computing specializations.. Time: 0:00:23 Points: 44   ⌜ # Computing specializations.. Time: 0:00:24 Points: 45 ┌ Warning: There were no samples collected in one or more groups. │ This may be due to idle threads, or you may need to run your │ program longer (perhaps by running it multiple times), │ or adjust the delay between samples with `Profile.init()`. └ @ Profile /opt/julia/share/julia/stdlib/v1.12/Profile/src/Profile.jl:1361 Overhead ╎ [+additional indent] Count File:Line Function ========================================================= Thread 1 (default) Task 0x0000720603dfc010 Total snapshots: 379. Utilization: 0% ╎379 @Base/client.jl:550 _start() ╎ 379 @Base/client.jl:317 exec_options(opts::Base.JLOptions) ╎ 379 @Base/Base.jl:306 include(mod::Module, _path::String) ╎ 379 @Base/loading.jl:2934 _include(mapexpr::Function, mod::Module, _pat… ╎ 379 @Base/loading.jl:2874 include_string(mapexpr::typeof(identity), mo… ╎ 379 @Base/boot.jl:489 eval(m::Module, e::Any) ╎ ╎ 379 @Pkg/src/API.jl:156 kwcall(::@NamedTuple{julia_args::Cmd}, ::typ… ╎ ╎ 379 @Pkg/src/API.jl:156 #test#81 ╎ ╎ 379 @Pkg/src/API.jl:157 test ╎ ╎ 379 @Pkg/src/API.jl:157 test(pkgs::Vector{String}; kwargs::Base.P… ╎ ╎ 379 @Pkg/src/API.jl:158 kwcall(::@NamedTuple{julia_args::Cmd}, :… ╎ ╎ ╎ 379 @Pkg/src/API.jl:169 test(pkgs::Vector{PackageSpec}; io::IOC… ╎ ╎ ╎ 379 @Pkg/src/API.jl:529 kwcall(::@NamedTuple{julia_args::Cmd, … ╎ ╎ ╎ 379 @Pkg/src/API.jl:552 test(ctx::Pkg.Types.Context, pkgs::Ve… ╎ ╎ ╎ 379 @Pkg/…erations.jl:2387 test ╎ ╎ ╎ 379 @Pkg/…erations.jl:2481 test(ctx::Pkg.Types.Context, pkg… ╎ ╎ ╎ ╎ 379 @Pkg/…rations.jl:2215 kwcall(::@NamedTuple{preferences… ╎ ╎ ╎ ╎ 379 @Pkg/…rations.jl:2225 #sandbox#182 ╎ ╎ ╎ ╎ 379 @Base/file.jl:932 mktempdir(fn::Function) ╎ ╎ ╎ ╎ 379 @Base/file.jl:932 mktempdir(fn::Function, parent::S… ╎ ╎ ╎ ╎ 379 @Base/file.jl:936 mktempdir(fn::Pkg.Operations.var… ╎ ╎ ╎ ╎ ╎ 379 @Pkg/…tions.jl:2278 (::Pkg.Operations.var"#186#18… ╎ ╎ ╎ ╎ ╎ 379 @Pkg/…tions.jl:2164 with_temp_env(fn::Pkg.Operat… ╎ ╎ ╎ ╎ ╎ 379 @Pkg/…tions.jl:2311 (::Pkg.Operations.var"#190#… ╎ ╎ ╎ ╎ ╎ 379 @Base/env.jl:265 withenv(::Pkg.Operations.var"… ╎ ╎ ╎ ╎ ╎ 379 @Pkg/…ions.jl:2496 (::Pkg.Operations.var"#205… ╎ ╎ ╎ ╎ ╎ ╎ 379 @Pkg/…ons.jl:2556 subprocess_handler(cmd::Cm… ╎ ╎ ╎ ╎ ╎ ╎ 379 @Base/…ss.jl:686 wait(x::Base.Process) ╎ ╎ ╎ ╎ ╎ ╎ 379 @Base/…ss.jl:693 wait(x::Base.Process, syn… ╎ ╎ ╎ ╎ ╎ ╎ 379 @Base/…on.jl:136 wait ╎ ╎ ╎ ╎ ╎ ╎ 379 @Base/…on.jl:141 wait(c::Base.GenericCon… ╎ ╎ ╎ ╎ ╎ ╎ ╎ 379 @Base/…sk.jl:1228 wait() 378╎ ╎ ╎ ╎ ╎ ╎ ╎ 379 @Base/…sk.jl:1216 poptask(W::Base.Intr…  ⌝ # Computing specializations.. Time: 0:00:24 Points: 46   ⌟ # Computing specializations.. Time: 0:00:25 Points: 47   ⌞ # Computing specializations.. Time: 0:00:25 Points: 48   ⌜ # Computing specializations.. Time: 0:00:26 Points: 49   ⌝ # Computing specializations.. Time: 0:00:26 Points: 50   ⌟ # Computing specializations.. Time: 0:00:27 Points: 51   ⌞ # Computing specializations.. Time: 0:00:27 Points: 52   ⌜ # Computing specializations.. Time: 0:00:27 Points: 53   ⌝ # Computing specializations.. Time: 0:00:28 Points: 54   ⌟ # Computing specializations.. Time: 0:00:28 Points: 56   ⌞ # Computing specializations.. Time: 0:00:29 Points: 57   ⌜ # Computing specializations.. Time: 0:00:30 Points: 59   ⌝ # Computing specializations.. Time: 0:00:30 Points: 60   ⌟ # Computing specializations.. Time: 0:00:30 Points: 61  [195] signal 15: Terminated in expression starting at /home/pkgeval/.julia/packages/StructuralIdentifiability/mw5Vw/test/bodies/identifiable_functions.jl:1151 getindex at ./essentials.jl:920 [inlined] iterate at ./array.jl:901 [inlined] iterate at ./array.jl:901 [inlined] _zip_iterate_some at ./iterators.jl:433 [inlined] _zip_iterate_some at ./iterators.jl:435 [inlined] _zip_iterate_all at ./iterators.jl:425 [inlined] iterate at ./iterators.jl:415 [inlined] == at ./abstractarray.jl:3034 [inlined] != at ./operators.jl:321 [inlined] wrapped_trace_check_input at /home/pkgeval/.julia/packages/Groebner/Q7HGS/src/groebner/wrapped_trace.jl:61 __groebner_apply1! at /home/pkgeval/.julia/packages/Groebner/Q7HGS/src/groebner/learn_apply.jl:218 unknown function (ip: 0x7f2dba5112d0) at (unknown file) groebner_apply0! at /home/pkgeval/.julia/packages/Groebner/Q7HGS/src/groebner/learn_apply.jl:129 #groebner_apply!#200 at /home/pkgeval/.julia/packages/Groebner/Q7HGS/src/interface.jl:403 [inlined] groebner_apply! at /home/pkgeval/.julia/packages/Groebner/Q7HGS/src/interface.jl:401 unknown function (ip: 0x7f2dba50fe44) at (unknown file) interpolate_exponents! at /home/pkgeval/.julia/packages/ParamPunPam/nx0fr/src/groebner/paramgb.jl:459 _paramgb at /home/pkgeval/.julia/packages/ParamPunPam/nx0fr/src/groebner/paramgb.jl:166 #paramgb#63 at /home/pkgeval/.julia/packages/ParamPunPam/nx0fr/src/groebner/paramgb.jl:108 paramgb at /home/pkgeval/.julia/packages/ParamPunPam/nx0fr/src/groebner/paramgb.jl:65 [inlined] #groebner_basis_coeffs#135 at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/simplification.jl:147 groebner_basis_coeffs at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/simplification.jl:147 unknown function (ip: 0x7f2dcfda66b4) at (unknown file) #simplified_generating_set#137 at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/simplification.jl:319 simplified_generating_set at /home/pkgeval/.julia/packages/RationalFunctionFields/E2pFC/src/simplification.jl:319 unknown function (ip: 0x7f2db917e8a9) at (unknown file) #_find_identifiable_functions#257 at /home/pkgeval/.julia/packages/StructuralIdentifiability/mw5Vw/src/identifiable_functions.jl:119 _find_identifiable_functions at /home/pkgeval/.julia/packages/StructuralIdentifiability/mw5Vw/src/identifiable_functions.jl:85 [inlined] #255 at /home/pkgeval/.julia/packages/StructuralIdentifiability/mw5Vw/src/identifiable_functions.jl:62 with_logstate at ./logging/logging.jl:542 with_logger at ./logging/logging.jl:653 [inlined] #find_identifiable_functions#253 at /home/pkgeval/.julia/packages/StructuralIdentifiability/mw5Vw/src/identifiable_functions.jl:60 [inlined] find_identifiable_functions at /home/pkgeval/.julia/packages/StructuralIdentifiability/mw5Vw/src/identifiable_functions.jl:48 unknown function (ip: 0x7f2db9176704) at (unknown file) jl_apply at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/julia.h:2391 [inlined] do_call at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:123 eval_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:243 eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:581 eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:558 eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:558 jl_interpret_toplevel_thunk at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:898 jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1035 jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:975 ijl_toplevel_eval at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1047 ijl_toplevel_eval_in at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1092 eval at ./boot.jl:489 include_string at ./loading.jl:2874 _include at ./loading.jl:2934 include at ./Base.jl:307 IncludeInto at ./Base.jl:308 jfptr_IncludeInto_61448.1 at /opt/julia/lib/julia/sys.so (unknown line) jl_apply at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/julia.h:2391 [inlined] do_call at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:123 eval_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:243 eval_stmt_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:194 [inlined] eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:707 eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:558 eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:558 jl_interpret_toplevel_thunk at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:898 jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1035 jl_eval_module_expr at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:197 [inlined] jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:814 ijl_toplevel_eval at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1047 ijl_toplevel_eval_in at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1092 eval at ./boot.jl:489 jfptr_eval_18640.1 at /opt/julia/lib/julia/sys.so (unknown line) jl_apply at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/julia.h:2391 [inlined] do_call at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:123 eval_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:243 eval_stmt_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:194 [inlined] eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:707 jl_interpret_toplevel_thunk at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:898 jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1035 jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:975 ijl_toplevel_eval at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1047 ijl_toplevel_eval_in at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1092 eval at ./boot.jl:489 include_string at ./loading.jl:2874 _include at ./loading.jl:2934 include at ./Base.jl:307 IncludeInto at ./Base.jl:308 jfptr_IncludeInto_61448.1 at /opt/julia/lib/julia/sys.so (unknown line) jl_apply at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/julia.h:2391 [inlined] do_call at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:123 eval_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:243 eval_stmt_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:194 [inlined] eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:707 eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:558 eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:558 jl_interpret_toplevel_thunk at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:898 jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1035 jl_eval_module_expr at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:197 [inlined] jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:814 ijl_toplevel_eval at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1047 ijl_toplevel_eval_in at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1092 eval at ./boot.jl:489 jfptr_eval_18640.1 at /opt/julia/lib/julia/sys.so (unknown line) jl_apply at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/julia.h:2391 [inlined] do_call at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:123 eval_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:243 eval_stmt_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:194 [inlined] eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:707 jl_interpret_toplevel_thunk at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:898 jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1035 ijl_toplevel_eval at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1047 ijl_toplevel_eval_in at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1092 eval at ./boot.jl:489 #_run_body#22 at /home/pkgeval/.julia/packages/SciMLTesting/FF1RX/src/SciMLTesting.jl:960 _run_body at /home/pkgeval/.julia/packages/SciMLTesting/FF1RX/src/SciMLTesting.jl:944 [inlined] _run_core_folder at /home/pkgeval/.julia/packages/SciMLTesting/FF1RX/src/SciMLTesting.jl:1021 _run_folder_group at /home/pkgeval/.julia/packages/SciMLTesting/FF1RX/src/SciMLTesting.jl:1061 #run_tests#23 at /home/pkgeval/.julia/packages/SciMLTesting/FF1RX/src/SciMLTesting.jl:1337 run_tests at /home/pkgeval/.julia/packages/SciMLTesting/FF1RX/src/SciMLTesting.jl:1312 unknown function (ip: 0x7f2dda903adf) at (unknown file) jl_apply at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/julia.h:2391 [inlined] do_call at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:123 eval_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:243 eval_stmt_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:194 [inlined] eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:707 jl_interpret_toplevel_thunk at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:898 jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1035 jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:975 ijl_toplevel_eval at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1047 ijl_toplevel_eval_in at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1092 eval at ./boot.jl:489 include_string at ./loading.jl:2874 _include at ./loading.jl:2934 include at ./Base.jl:307 IncludeInto at ./Base.jl:308 jfptr_IncludeInto_61448.1 at /opt/julia/lib/julia/sys.so (unknown line) jl_apply at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/julia.h:2391 [inlined] do_call at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:123 eval_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:243 eval_stmt_value at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:194 [inlined] eval_body at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:707 jl_interpret_toplevel_thunk at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/interpreter.c:898 jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1035 jl_toplevel_eval_flex at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:975 ijl_toplevel_eval at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1047 ijl_toplevel_eval_in at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/toplevel.c:1092 eval at ./boot.jl:489 exec_options at ./client.jl:283 _start at ./client.jl:550 jfptr__start_63319.1 at /opt/julia/lib/julia/sys.so (unknown line) jl_apply at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/julia.h:2391 [inlined] true_main at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/jlapi.c:971 jl_repl_entrypoint at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/src/jlapi.c:1139 main at /cache/build/builder-amdci5-4/julialang/julia-release-1-dot-12/cli/loader_exe.c:58 unknown function (ip: 0x7f2e02b6f249) 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: 2173450046 (Pool: 2173448269; Big: 1777); GC: 1129 PkgEval terminated after 2721.45s: test duration exceeded the time limit