Package evaluation to test SymbolicIntegration on Julia 1.14.0-DEV.1826 (44c835795b*) started at 2026-03-02T18:37:05.444 ################################################################################ # Set-up # Installing PkgEval dependencies (TestEnv)... Activating project at `~/.julia/environments/v1.14` Set-up completed after 12.9s ################################################################################ # Installation # Installing SymbolicIntegration... Resolving package versions... Installed SymbolicIntegration ─ v3.5.0 Updating `~/.julia/environments/v1.14/Project.toml` [315ce56f] + SymbolicIntegration v3.5.0 Updating `~/.julia/environments/v1.14/Manifest.toml` [47edcb42] + ADTypes v1.21.0 [c3fe647b] + AbstractAlgebra v0.48.4 [6e696c72] + AbstractPlutoDingetjes v1.3.2 [1520ce14] + AbstractTrees v0.4.5 [7d9f7c33] + Accessors v0.1.43 [79e6a3ab] + Adapt v4.4.0 [4fba245c] + ArrayInterface v7.22.0 [e2ed5e7c] + Bijections v0.2.2 ⌅ [861a8166] + Combinatorics v1.0.2 [f70d9fcc] + CommonWorldInvalidations v1.0.0 [b152e2b5] + CompositeTypes v0.1.4 [a33af91c] + CompositionsBase v0.1.2 [187b0558] + ConstructionBase v1.6.0 [864edb3b] + DataStructures v0.19.3 [b552c78f] + DiffRules v1.15.1 [ffbed154] + DocStringExtensions v0.9.5 [5b8099bc] + DomainSets v0.7.16 [7c1d4256] + DynamicPolynomials v0.6.4 [b305315f] + Elliptic v1.0.1 [4e289a0a] + EnumX v1.0.7 [e2ba6199] + ExprTools v0.1.10 [55351af7] + ExproniconLite v0.10.14 [88497964] + FresnelIntegrals v0.2.0 [34004b35] + HypergeometricFunctions v0.3.28 [18e54dd8] + IntegerMathUtils v0.1.3 [8197267c] + IntervalSets v0.7.13 [3587e190] + InverseFunctions v0.1.17 [92d709cd] + IrrationalConstants v0.2.6 [692b3bcd] + JLLWrappers v1.7.1 [ae98c720] + Jieko v0.2.1 [2ab3a3ac] + LogExpFunctions v0.3.29 [1914dd2f] + MacroTools v0.5.16 [2e0e35c7] + Moshi v0.3.7 [102ac46a] + MultivariatePolynomials v0.5.13 [d8a4904e] + MutableArithmetics v1.6.7 [77ba4419] + NaNMath v1.1.3 [2edaba10] + Nemo v0.54.1 [bac558e1] + OrderedCollections v1.8.1 [85e3b03c] + PolyLog v2.6.1 [aea7be01] + PrecompileTools v1.3.3 [21216c6a] + Preferences v1.5.2 [27ebfcd6] + Primes v0.5.7 [fb686558] + RandomExtensions v0.4.4 [988b38a3] + ReadOnlyArrays v0.2.0 [3cdcf5f2] + RecipesBase v1.3.4 [189a3867] + Reexport v1.2.2 [ae029012] + Requires v1.3.1 [7e49a35a] + RuntimeGeneratedFunctions v0.5.17 [431bcebd] + SciMLPublic v1.0.1 [efcf1570] + Setfield v1.1.2 [276daf66] + SpecialFunctions v2.7.1 [90137ffa] + StaticArrays v1.9.17 [1e83bf80] + StaticArraysCore v1.4.4 [2efcf032] + SymbolicIndexingInterface v0.3.46 [315ce56f] + SymbolicIntegration v3.5.0 [19f23fe9] + SymbolicLimits v1.1.0 [d1185830] + SymbolicUtils v4.18.5 [0c5d862f] + Symbolics v7.15.3 [ed4db957] + TaskLocalValues v0.1.3 [8ea1fca8] + TermInterface v2.0.0 [d30d5f5c] + WeakCacheSets v0.1.0 [e134572f] + FLINT_jll v301.400.1+0 [656ef2d0] + OpenBLAS32_jll v0.3.30+0 [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 [f43a241f] + Downloads v1.7.0 [7b1f6079] + FileWatching v1.11.0 [9fa8497b] + Future v1.11.0 [b77e0a4c] + InteractiveUtils v1.11.0 [ac6e5ff7] + JuliaSyntaxHighlighting v1.13.0 [b27032c2] + LibCURL v1.0.0 [76f85450] + LibGit2 v1.11.0 [8f399da3] + Libdl v1.11.0 [37e2e46d] + LinearAlgebra v1.13.0 [56ddb016] + Logging v1.11.0 [d6f4376e] + Markdown v1.11.0 [ca575930] + NetworkOptions v1.3.0 [44cfe95a] + Pkg v1.14.0 [de0858da] + Printf v1.11.0 [9a3f8284] + Random v1.11.0 [ea8e919c] + SHA v1.0.0 [9e88b42a] + Serialization v1.11.0 [2f01184e] + SparseArrays v1.13.0 [f489334b] + StyledStrings v1.13.0 [fa267f1f] + TOML v1.0.3 [a4e569a6] + Tar v1.10.0 [8dfed614] + Test v1.11.0 [cf7118a7] + UUIDs v1.11.0 [4ec0a83e] + Unicode v1.11.0 [e66e0078] + CompilerSupportLibraries_jll v1.3.0+1 [781609d7] + GMP_jll v6.3.0+2 [deac9b47] + LibCURL_jll v8.18.0+0 [e37daf67] + LibGit2_jll v1.9.2+0 [29816b5a] + LibSSH2_jll v1.11.3+1 [3a97d323] + MPFR_jll v4.2.2+0 [14a3606d] + MozillaCACerts_jll v2025.12.2 [4536629a] + OpenBLAS_jll v0.3.30+0 [05823500] + OpenLibm_jll v0.8.7+0 [458c3c95] + OpenSSL_jll v3.5.5+0 [efcefdf7] + PCRE2_jll v10.47.0+0 [bea87d4a] + SuiteSparse_jll v7.10.1+0 [83775a58] + Zlib_jll v1.3.2+0 [3161d3a3] + Zstd_jll v1.5.7+1 [8e850b90] + libblastrampoline_jll v5.15.0+0 [8e850ede] + nghttp2_jll v1.68.0+1 [3f19e933] + p7zip_jll v17.7.0+0 Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m` Installation completed after 6.71s ################################################################################ # Precompilation # Precompiling PkgEval dependencies... Precompiling package dependencies... Precompiling packages... 1211.3 ms ✓ FresnelIntegrals 30582.1 ms ✓ Symbolics → SymbolicsHypergeometricFunctionsExt 31226.9 ms ✓ Symbolics → SymbolicsNemoExt    0/96 files [> ] 0 rules Loading: 0.1 Integrand simplification rules.jl  1/96 files [=> ] 22 rules Loading: 1.1.1.1 (a+b x)^m.jl  2/96 files [=> ] 26 rules Loading: 1.1.1.2 (a+b x)^m (c+d x)^n.jl  3/96 files [==> ] 66 rules Loading: 1.1.1.3 (a+b x)^m (c+d x)^n (e+f x)^p.jl  4/96 files [==> ] 139 rules Loading: 1.1.1.4 (a+b x)^m (c+d x)^n (e+f x)^p (g+h x)^q.jl  5/96 files [===> ] 186 rules Loading: 1.1.2.1 (a+b x^2)^p.jl  6/96 files [===> ] 219 rules Loading: 1.1.2.2 (c x)^m (a+b x^2)^p.jl  7/96 files [====> ] 251 rules Loading: 1.1.2.3 (a+b x^2)^p (c+d x^2)^q.jl  8/96 files [====> ] 301 rules Loading: 1.1.2.4 (e x)^m (a+b x^2)^p (c+d x^2)^q.jl  9/96 files [=====> ] 346 rules Loading: 1.1.3.1 (a+b x^n)^p.jl  10/96 files [=====> ] 412 rules Loading: 1.1.3.2 (c x)^m (a+b x^n)^p.jl  11/96 files [======> ] 524 rules Loading: 1.1.3.3 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x)))^n)^p.jl  34/96 files [==================> ] 1546 rules Loading: 2.2 (c+d x)^m (F^(g (e+f x)))^n (a+b (F^(g (e+f x)))^n)^p.jl  35/96 files [===================> ] 1549 rules Loading: 2.3 Miscellaneous exponentials.jl  36/96 files [====================> ] 1642 rules Loading: 3.1.1 (a+b log(c x^n))^p.jl  37/96 files [====================> ] 1648 rules Loading: 3.1.2 (d x)^m (a+b log(c x^n))^p.jl  38/96 files [=====================> ] 1660 rules Loading: 3.1.3 (d+e x^r)^q (a+b log(c x^n))^p.jl  39/96 files [=====================> ] 1680 rules Loading: 3.1.4 (f x)^m (d+e x^r)^q (a+b log(c x^n))^p.jl  40/96 files [======================> ] 1705 rules Loading: 3.1.5 u (a+b log(c x^n))^p.jl  41/96 files [======================> ] 1756 rules Loading: 3.2.1 (f+g x)^m (A+B log(e ((a+b x) over (c+d x))^n))^p.jl  42/96 files [=======================> ] 1776 rules Loading: 3.2.2 (f+g x)^m (h+i x)^q (A+B log(e ((a+b x) over (c+d x))^n))^p.jl  43/96 files [=======================> ] 1793 rules 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in 120 seconds. 118 already precompiled. 1 dependency had output during precompilation: ┌ SymbolicIntegration │  0/96 files [> ] 0 rules │ Loading: 0.1 Integrand simplification rules.jl │  1/96 files [=> ] 22 rules │ Loading: 1.1.1.1 (a+b x)^m.jl │  2/96 files [=> ] 26 rules │ Loading: 1.1.1.2 (a+b x)^m (c+d x)^n.jl │  3/96 files [==> ] 66 rules │ Loading: 1.1.1.3 (a+b x)^m (c+d x)^n (e+f x)^p.jl │  4/96 files [==> ] 139 rules │ Loading: 1.1.1.4 (a+b x)^m (c+d x)^n (e+f x)^p (g+h x)^q.jl │  5/96 files [===> ] 186 rules │ Loading: 1.1.2.1 (a+b x^2)^p.jl │  6/96 files [===> ] 219 rules │ Loading: 1.1.2.2 (c x)^m (a+b x^2)^p.jl │  7/96 files [====> ] 251 rules │ Loading: 1.1.2.3 (a+b x^2)^p (c+d x^2)^q.jl │  8/96 files [====> ] 301 rules │ Loading: 1.1.2.4 (e x)^m (a+b x^2)^p (c+d x^2)^q.jl │  9/96 files [=====> ] 346 rules │ Loading: 1.1.3.1 (a+b x^n)^p.jl │  10/96 files [=====> ] 412 rules │ Loading: 1.1.3.2 (c x)^m (a+b x^n)^p.jl │  11/96 files [======> ] 524 rules │ Loading: 1.1.3.3 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[===================================================> ] 3327 rules │ Loading: 7.3.2 (d x)^m (a+b arctanh(c x^n))^p.jl │  95/96 files [===================================================> ] 3349 rules │ Loading: 7.3.3 (d+e x)^m (a+b arctanh(c x^n))^p.jl │ Loaded 3369 rules from 96 files. └ Precompilation completed after 144.82s ################################################################################ # Testing # Testing SymbolicIntegration Status `/tmp/jl_242nVU/Project.toml` [c3fe647b] AbstractAlgebra v0.48.4 ⌅ [861a8166] Combinatorics v1.0.2 [b305315f] Elliptic v1.0.1 [88497964] FresnelIntegrals v0.2.0 [34004b35] HypergeometricFunctions v0.3.28 [2edaba10] Nemo v0.54.1 [85e3b03c] PolyLog v2.6.1 [315ce56f] SymbolicIntegration v3.5.0 [d1185830] SymbolicUtils v4.18.5 [0c5d862f] Symbolics v7.15.3 [ade2ca70] Dates v1.11.0 [56ddb016] Logging v1.11.0 [44cfe95a] Pkg v1.14.0 [8dfed614] Test v1.11.0 Status `/tmp/jl_242nVU/Manifest.toml` [47edcb42] ADTypes v1.21.0 [c3fe647b] AbstractAlgebra v0.48.4 [6e696c72] AbstractPlutoDingetjes v1.3.2 [1520ce14] AbstractTrees v0.4.5 [7d9f7c33] Accessors v0.1.43 [79e6a3ab] Adapt v4.4.0 [4fba245c] ArrayInterface v7.22.0 [e2ed5e7c] Bijections v0.2.2 ⌅ [861a8166] Combinatorics v1.0.2 [f70d9fcc] CommonWorldInvalidations v1.0.0 [b152e2b5] CompositeTypes v0.1.4 [a33af91c] CompositionsBase v0.1.2 [187b0558] ConstructionBase v1.6.0 [864edb3b] DataStructures v0.19.3 [b552c78f] DiffRules v1.15.1 [ffbed154] DocStringExtensions v0.9.5 [5b8099bc] DomainSets v0.7.16 [7c1d4256] DynamicPolynomials v0.6.4 [b305315f] Elliptic v1.0.1 [4e289a0a] EnumX v1.0.7 [e2ba6199] ExprTools v0.1.10 [55351af7] ExproniconLite v0.10.14 [88497964] FresnelIntegrals v0.2.0 [34004b35] HypergeometricFunctions v0.3.28 [18e54dd8] IntegerMathUtils v0.1.3 [8197267c] IntervalSets v0.7.13 [3587e190] InverseFunctions v0.1.17 [92d709cd] IrrationalConstants v0.2.6 [692b3bcd] JLLWrappers v1.7.1 [ae98c720] Jieko v0.2.1 [2ab3a3ac] LogExpFunctions v0.3.29 [1914dd2f] MacroTools v0.5.16 [2e0e35c7] Moshi v0.3.7 [102ac46a] MultivariatePolynomials v0.5.13 [d8a4904e] MutableArithmetics v1.6.7 [77ba4419] NaNMath v1.1.3 [2edaba10] Nemo v0.54.1 [bac558e1] OrderedCollections v1.8.1 [85e3b03c] PolyLog v2.6.1 [aea7be01] PrecompileTools v1.3.3 [21216c6a] Preferences v1.5.2 [27ebfcd6] Primes v0.5.7 [fb686558] RandomExtensions v0.4.4 [988b38a3] ReadOnlyArrays v0.2.0 [3cdcf5f2] RecipesBase v1.3.4 [189a3867] Reexport v1.2.2 [ae029012] Requires v1.3.1 [7e49a35a] RuntimeGeneratedFunctions v0.5.17 [431bcebd] SciMLPublic v1.0.1 [efcf1570] Setfield v1.1.2 [276daf66] SpecialFunctions v2.7.1 [90137ffa] StaticArrays v1.9.17 [1e83bf80] StaticArraysCore v1.4.4 [2efcf032] SymbolicIndexingInterface v0.3.46 [315ce56f] SymbolicIntegration v3.5.0 [19f23fe9] SymbolicLimits v1.1.0 [d1185830] SymbolicUtils v4.18.5 [0c5d862f] Symbolics v7.15.3 [ed4db957] TaskLocalValues v0.1.3 [8ea1fca8] TermInterface v2.0.0 [d30d5f5c] WeakCacheSets v0.1.0 [e134572f] FLINT_jll v301.400.1+0 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Testing Running tests... ========Test results of ================================================= _____ _ _ _ ,______. / ___| | | | (_) by / Mattia \ \ `--. _ _ _ __ ___ | |__ ___ | |_ ___ (Micheletta) `--. \ | | | '_ ` _ \| '_ \ / _ \| | |/ __| \ Merlin / /\__/ / |_| | | | | | | |_) | (_) | | | (__ '‾‾‾‾‾‾° \____/ \__, |_| |_| |_|____/ \___/|_|_|\___| __/ | _____ _ _ _ _ _ |___/ |_ _| | | | | (_) (_) | | | _ __ | |_ ___ __ _ _ __ __ _| |_ _ ___ _ __ _| | | || '_ \| __/ _ \/ _` | '__/ _` | __| |/ _ \| '_ \ | | | _| || | | | || __/ (_| | | | (_| | |_| | (_) | | | |_| | | \___/_| |_|\__\___|\__, |_| \__,_|\__|_|\___/|_| |_(_) |_| __/ | _/ | |___/ |__/ Date: 2026-03-02 18:45:07 Package Version: nothing Julia Version: 1.14.0-DEV.1826 Computer: SymbolicIntegration-primary-FZ6R5n55 OS: Linux x86_64 CPU Threads: 1 Memory: 32.0 GB About to test SymbolicIntegration.jl with 2 test sets ========================================================================== Testing from file: test_files/easy.jl Loading tests from test_files/easy.jl... Testing 3 integrals... [ ok ]∫( 2x )dx = x^2 (0.99s) [ ok ]∫( 2x )dx = x^2 (0.0007s) [ ok ]∫( 1 / (1 + x^2) )dx = atan(x) (3.9808s) [ ok ]∫( 1 / (1 + x^2) )dx = atan(x) (0.0013s) [ ok ]∫( sin(x) )dx = -cos(x) (0.0545s) [ fail ]∫( sin(x) )dx = -cos(x) but got: ∫(sin(x), x) (1.794s) RuleBasedMethod: 3 tests succeeded, 0 failed, 0 maybe failed, 0 errored, out of 3 tests of test_files/easy.jl Total=5.025s, Avg=1.6751s, Min=0.0545s, Max=3.9808s RischMethod: 2 tests succeeded, 1 failed, 0 maybe failed, 0 errored, out of 3 tests of test_files/easy.jl Total=1.796s, Avg=0.5986s, Min=0.0007s, Max=1.794s Testing from file: test_files/0 Independent test suites/Apostol Problems.jl Loading tests from test_files/0 Independent test suites/Apostol Problems.jl... Testing 174 integrals... [ ok ]∫( sqrt(1 + 2x) )dx = (1//3)*((1 + 2x)^(3//2)) (1.2092s) [ fail ]∫( sqrt(1 + 2x) )dx = (1//3)*((1 + 2x)^(3//2)) but got: ∫(sqrt(1 + 2x), x) (0.0004s) [ ok ]∫( x*sqrt(1 + 3x) )dx = -(2//27)*((1 + 3x)^(3//2)) + (2//45)*((1 + 3x)^(5//2)) (13.3821s) [ fail ]∫( x*sqrt(1 + 3x) )dx = -(2//27)*((1 + 3x)^(3//2)) + (2//45)*((1 + 3x)^(5//2)) but got: ∫(x*sqrt(1 + 3x), x) (0.0003s) [ fail?]∫( (x^2)*sqrt(1 + x) )dx = (2//3)*((1 + x)^(3//2)) - (4//5)*((1 + x)^(5//2)) + (2//7)*((1 + x)^(7//2)) but got: -(4//7)*(-(2//3)*((1 + x)^(3//2)) + ((1 + x)^(5//2)) / (5//2)) + (2//7)*((1 + x)^(3//2))*(x^2) (1.8101s) [ fail ]∫( (x^2)*sqrt(1 + x) )dx = (2//3)*((1 + x)^(3//2)) - (4//5)*((1 + x)^(5//2)) + (2//7)*((1 + x)^(7//2)) but got: ∫((x^2)*sqrt(1 + x), x) (0.0003s) [ ok ]∫( x / sqrt(2 - 3x) )dx = -(4//9)*sqrt(2 - 3x) + (2//27)*((2 - 3x)^(3//2)) (1.5135s) [ fail ]∫( x / sqrt(2 - 3x) )dx = -(4//9)*sqrt(2 - 3x) + (2//27)*((2 - 3x)^(3//2)) but got: ∫(x / sqrt(2 - 3x), x) (0.0009s) [ ok ]∫( (1 + x) / ((2 + 2x + x^2)^3) )dx = -1 / (4((2 + 2x + x^2)^2)) (0.1561s) [ ok ]∫( (1 + x) / ((2 + 2x + x^2)^3) )dx = -1 / (4((2 + 2x + x^2)^2)) (0.1051s) [ ok ]∫( sin(x)^3 )dx = -cos(x) + (cos(x)^3) / 3 (3.3996s) [ fail ]∫( sin(x)^3 )dx = -cos(x) + (cos(x)^3) / 3 but got: ∫(sin(x)^3, x) (0.0023s) [ ok ]∫( ((-1 + z)^(1//3))*z )dz = (3//4)*((-1 + z)^(4//3)) + (3//7)*((-1 + z)^(7//3)) (0.5527s) [ fail ]∫( ((-1 + z)^(1//3))*z )dz = (3//4)*((-1 + z)^(4//3)) + (3//7)*((-1 + z)^(7//3)) but got: ∫(((-1 + z)^(1//3))*z, z) (0.0938s) [ fail?]∫( cos(x) / (sin(x)^3) )dx = (-1//2)*(csc(x)^2) but got: (cos(x)^2) / (-2(sin(x)^2)) (0.1755s) [ fail ]∫( cos(x) / (sin(x)^3) )dx = (-1//2)*(csc(x)^2) but got: ∫(cos(x) / (sin(x)^3), x) (0.003s) [ ok ]∫( sqrt(4 - sin(2x))*cos(2x) )dx = (-1//3)*((4 - sin(2x))^(3//2)) (0.4846s) [ fail ]∫( sqrt(4 - sin(2x))*cos(2x) )dx = (-1//3)*((4 - sin(2x))^(3//2)) but got: ∫(sqrt(4 - sin(2x))*cos(2x), x) (0.001s) [ fail ]∫( sin(x) / ((3 + cos(x))^2) )dx = 1 / (3 + cos(x)) but got: ∫(sin(x) / (9 + 6cos(x) + cos(x)^2), x) (6.9751s) [ fail ]∫( sin(x) / ((3 + cos(x))^2) )dx = 1 / (3 + cos(x)) but got: ∫(sin(x) / ((3 + cos(x))^2), x) (0.0008s) [ fail ]∫( sin(x) / sqrt(cos(x)^3) )dx = (2cos(x)) / sqrt(cos(x)^3) but got: ∫(sin(x) / sqrt(cos(x)^3), x) (0.4226s) [ fail ]∫( sin(x) / sqrt(cos(x)^3) )dx = (2cos(x)) / sqrt(cos(x)^3) but got: ∫(sin(x) / sqrt(cos(x)^3), x) (0.0007s) [ ok ]∫( sin(sqrt(1 + x)) / sqrt(1 + x) )dx = -2cos(sqrt(1 + x)) (0.1776s) [ fail ]∫( sin(sqrt(1 + x)) / sqrt(1 + x) )dx = -2cos(sqrt(1 + x)) but got: ∫(sin(sqrt(1 + x)) / sqrt(1 + x), x) (0.0018s) [ fail ]∫( (x^(-1 + n))*sin(x^n) )dx = (-cos(x^n)) / n but got: ∫((x^(-1 + n))*sin(x^n), x) (1.6855s) [ fail ]∫( (x^(-1 + n))*sin(x^n) )dx = (-cos(x^n)) / n but got: ∫((x^(-1 + n))*sin(x^n), x) (0.0022s) [ ok ]∫( (x^5) / sqrt(1 - (x^6)) )dx = (-1//3)*sqrt(1 - (x^6)) (0.0715s) [ fail ]∫( (x^5) / sqrt(1 - (x^6)) )dx = (-1//3)*sqrt(1 - (x^6)) but got: ∫((x^5) / sqrt(1 - (x^6)), x) (0.0003s) [ ok ]∫( ((1 + t)^(1//4))*t )dt = -(4//5)*((1 + t)^(5//4)) + (4//9)*((1 + t)^(9//4)) (1.0885s) [ fail ]∫( ((1 + t)^(1//4))*t )dt = -(4//5)*((1 + t)^(5//4)) + (4//9)*((1 + t)^(9//4)) but got: ∫(((1 + t)^(1//4))*t, t) (0.0003s) [ ok ]∫( 1 / ((1 + x^2)^(3//2)) )dx = x / sqrt(1 + x^2) (0.089s) [ fail ]∫( 1 / ((1 + x^2)^(3//2)) )dx = x / sqrt(1 + x^2) but got: ∫(1 / ((1 + x^2)^(3//2)), x) (0.0003s) [ ok ]∫( ((27 + 8(x^3))^(2//3))*(x^2) )dx = (1//40)*((27 + 8(x^3))^(5//3)) (0.2995s) [ fail ]∫( ((27 + 8(x^3))^(2//3))*(x^2) )dx = (1//40)*((27 + 8(x^3))^(5//3)) but got: ∫(((27 + 8(x^3))^(2//3))*(x^2), x) (0.0003s) [ ok ]∫( (sin(x) + cos(x)) / ((sin(x) - cos(x))^(1//3)) )dx = (3//2)*((sin(x) - cos(x))^(2//3)) (1.0899s) [ fail ]∫( (sin(x) + cos(x)) / ((sin(x) - cos(x))^(1//3)) )dx = (3//2)*((sin(x) - cos(x))^(2//3)) but got: ∫((sin(x) + cos(x)) / ((sin(x) - cos(x))^(1//3)), x) (0.0035s) [ fail ]∫( x / sqrt(1 + x^2 + (1 + x^2)^(3//2)) )dx = (2sqrt((1 + x^2)*(1 + sqrt(1 + x^2)))) / sqrt(1 + x^2) but got: ∫(x / sqrt(1 + x^2 + (1 + x^2)^(3//2)), x) (0.078s) [ fail ]∫( x / sqrt(1 + x^2 + (1 + x^2)^(3//2)) )dx = (2sqrt((1 + x^2)*(1 + sqrt(1 + x^2)))) / sqrt(1 + x^2) but got: ∫(x / sqrt(1 + x^2 + (1 + x^2)^(3//2)), x) (0.0003s) Error in ext_coeff: DomainError(1 / sqrt(1 + sqrt(1 + x^2)), "coeff on fractions is not yet implemented.") Error in ext_coeff: DomainError(1 / sqrt(1 + sqrt(1 + x^2)), "coeff on fractions is not yet implemented.") [ fail ]∫( x / (sqrt(1 + sqrt(1 + x^2))*sqrt(1 + x^2)) )dx = 2sqrt(1 + sqrt(1 + x^2)) but got: ∫(x / (sqrt(1 + sqrt(1 + x^2))*sqrt(1 + x^2)), x) (12.7586s) [ fail ]∫( x / (sqrt(1 + sqrt(1 + x^2))*sqrt(1 + x^2)) )dx = 2sqrt(1 + sqrt(1 + x^2)) but got: ∫(x / (sqrt(1 + sqrt(1 + x^2))*sqrt(1 + x^2)), x) (0.0004s) [ ok ]∫( ((1 - 2x + x^2)^(1//5)) / (1 - x) )dx = (-5//2)*((1 - 2x + x^2)^(1//5)) (0.0951s) [ fail ]∫( ((1 - 2x + x^2)^(1//5)) / (1 - x) )dx = (-5//2)*((1 - 2x + x^2)^(1//5)) but got: ∫(((1 - 2x + x^2)^(1//5)) / (1 - x), x) (0.0003s) [ ok ]∫( x*sin(x) )dx = sin(x) - x*cos(x) (0.3567s) [ fail ]∫( x*sin(x) )dx = sin(x) - x*cos(x) but got: ∫(x*sin(x), x) (0.0008s) [ fail?]∫( (x^2)*sin(x) )dx = 2cos(x) + 2x*sin(x) - (x^2)*cos(x) but got: 2(-cos(x) + x*sin(x)) - (x^2)*cos(x) (0.7124s) [ fail ]∫( (x^2)*sin(x) )dx = 2cos(x) + 2x*sin(x) - (x^2)*cos(x) but got: ∫((x^2)*sin(x), x) (0.0008s) [ fail?]∫( (x^3)*cos(x) )dx = -6cos(x) - 6x*sin(x) + 3(x^2)*cos(x) + (x^3)*sin(x) but got: 3(2(-cos(x) + x*sin(x)) - (x^2)*cos(x)) + (x^3)*sin(x) (1.1033s) [ fail ]∫( (x^3)*cos(x) )dx = -6cos(x) - 6x*sin(x) + 3(x^2)*cos(x) + (x^3)*sin(x) but got: ∫((x^3)*cos(x), x) (0.0009s) [ fail?]∫( (x^3)*sin(x) )dx = -6sin(x) + 6x*cos(x) + 3(x^2)*sin(x) - (x^3)*cos(x) but got: 3(2(sin(x) - x*cos(x)) + (x^2)*sin(x)) - (x^3)*cos(x) (1.0714s) [ fail ]∫( (x^3)*sin(x) )dx = -6sin(x) + 6x*cos(x) + 3(x^2)*sin(x) - (x^3)*cos(x) but got: ∫((x^3)*sin(x), x) (0.0007s) [ ok ]∫( sin(x)*cos(x) )dx = (sin(x)^2) / 2 (0.3517s) [ fail ]∫( sin(x)*cos(x) )dx = (sin(x)^2) / 2 but got: ∫(sin(x)*cos(x), x) (0.0009s) [ ok ]∫( x*sin(x)*cos(x) )dx = -(1//4)*x + (1//4)*sin(x)*cos(x) + (1//2)*x*(sin(x)^2) (1.8769s) [ fail ]∫( x*sin(x)*cos(x) )dx = -(1//4)*x + (1//4)*sin(x)*cos(x) + (1//2)*x*(sin(x)^2) but got: ∫(x*sin(x)*cos(x), x) (0.0008s) [ ok ]∫( sin(x)^2 )dx = x / 2 - (1//2)*sin(x)*cos(x) (0.0175s) [ fail ]∫( sin(x)^2 )dx = x / 2 - (1//2)*sin(x)*cos(x) but got: ∫(sin(x)^2, x) (0.0006s) [ ok ]∫( sin(x)^3 )dx = -cos(x) + (cos(x)^3) / 3 (0.871s) [ fail ]∫( sin(x)^3 )dx = -cos(x) + (cos(x)^3) / 3 but got: ∫(sin(x)^3, x) (0.0007s) [ ok ]∫( sin(x)^4 )dx = (3//8)*x - (3//8)*sin(x)*cos(x) - (1//4)*(sin(x)^3)*cos(x) (0.0318s) [ fail ]∫( sin(x)^4 )dx = (3//8)*x - (3//8)*sin(x)*cos(x) - (1//4)*(sin(x)^3)*cos(x) but got: ∫(sin(x)^4, x) (0.0006s) [ ok ]∫( sin(x)^5 )dx = -cos(x) + (2//3)*(cos(x)^3) - (1//5)*(cos(x)^5) (0.95s) [ fail ]∫( sin(x)^5 )dx = -cos(x) + (2//3)*(cos(x)^3) - (1//5)*(cos(x)^5) but got: ∫(sin(x)^5, x) (0.0007s) [ ok ]∫( sin(x)^6 )dx = (5//16)*x - (5//16)*sin(x)*cos(x) - (5//24)*(sin(x)^3)*cos(x) - (1//6)*(sin(x)^5)*cos(x) (0.0484s) [ fail ]∫( sin(x)^6 )dx = (5//16)*x - (5//16)*sin(x)*cos(x) - (5//24)*(sin(x)^3)*cos(x) - (1//6)*(sin(x)^5)*cos(x) but got: ∫(sin(x)^6, x) (0.0007s) [ ok ]∫( x*(sin(x)^2) )dx = (x^2) / 4 + (sin(x)^2) / 4 - (1//2)*x*sin(x)*cos(x) (2.0068s) [ fail ]∫( x*(sin(x)^2) )dx = (x^2) / 4 + (sin(x)^2) / 4 - (1//2)*x*sin(x)*cos(x) but got: ∫(x*(sin(x)^2), x) (0.0008s) [ ok ]∫( x*(sin(x)^3) )dx = (2//3)*sin(x) - (2//3)*x*cos(x) + (sin(x)^3) / 9 - (1//3)*x*(sin(x)^2)*cos(x) (0.7359s) [ fail ]∫( x*(sin(x)^3) )dx = (2//3)*sin(x) - (2//3)*x*cos(x) + (sin(x)^3) / 9 - (1//3)*x*(sin(x)^2)*cos(x) but got: ∫(x*(sin(x)^3), x) (0.0008s) [ ok ]∫( (x^2)*(sin(x)^2) )dx = -(1//4)*x + (1//4)*sin(x)*cos(x) + (x^3) / 6 + (1//2)*x*(sin(x)^2) - (1//2)*(x^2)*sin(x)*cos(x) (0.3861s) [ fail ]∫( (x^2)*(sin(x)^2) )dx = -(1//4)*x + (1//4)*sin(x)*cos(x) + (x^3) / 6 + (1//2)*x*(sin(x)^2) - (1//2)*(x^2)*sin(x)*cos(x) but got: ∫((x^2)*(sin(x)^2), x) (0.0008s) [ fail ]∫( cos(x)^2 )dx = x / 2 + (1//2)*sin(x)*cos(x) but got: ∫(cos(x)^2, x) (1.4048s) [ fail ]∫( cos(x)^2 )dx = x / 2 + (1//2)*sin(x)*cos(x) but got: ∫(cos(x)^2, x) (0.001s) [ fail ]∫( cos(x)^3 )dx = sin(x) - (1//3)*(sin(x)^3) but got: ∫(cos(x)^3, x) (0.0208s) [ fail ]∫( cos(x)^3 )dx = sin(x) - (1//3)*(sin(x)^3) but got: ∫(cos(x)^3, x) (0.0008s) [ fail ]∫( cos(x)^4 )dx = (3//8)*x + (3//8)*sin(x)*cos(x) + (1//4)*sin(x)*(cos(x)^3) but got: ∫(cos(x)^4, x) (0.0191s) [ fail ]∫( cos(x)^4 )dx = (3//8)*x + (3//8)*sin(x)*cos(x) + (1//4)*sin(x)*(cos(x)^3) but got: ∫(cos(x)^4, x) (0.0008s) [ ok ]∫( (a^2 - (x^2))^(5//2) )dx = (1//6)*((a^2 - (x^2))^(5//2))*x + (5//16)*(a^4)*x*sqrt(a^2 - (x^2)) + (5//24)*(a^2)*((a^2 - (x^2))^(3//2))*x + (5//16)*(a^6)*atan(x / sqrt(a^2 - (x^2))) (1.5211s) [ fail ]∫( (a^2 - (x^2))^(5//2) )dx = (1//6)*((a^2 - (x^2))^(5//2))*x + (5//16)*(a^4)*x*sqrt(a^2 - (x^2)) + (5//24)*(a^2)*((a^2 - (x^2))^(3//2))*x + (5//16)*(a^6)*atan(x / sqrt(a^2 - (x^2))) but got: ∫((a^2 - (x^2))^(5//2), x) (0.0002s) [ ok ]∫( (x^5) / sqrt(5 + x^2) )dx = 25sqrt(5 + x^2) - (10//3)*((5 + x^2)^(3//2)) + (1//5)*((5 + x^2)^(5//2)) (0.9037s) [ fail ]∫( (x^5) / sqrt(5 + x^2) )dx = 25sqrt(5 + x^2) - (10//3)*((5 + x^2)^(3//2)) + (1//5)*((5 + x^2)^(5//2)) but got: ∫((x^5) / sqrt(5 + x^2), x) (0.0003s) [ fail?]∫( (t^3) / ((4 + t^3)^(1//2)) )dt = (-24.53298676439231(1.5874010519681994 + t)*sqrt((2.5198420997897464 - 1.5874010519681994t + t^2) / ((4.336860325965405 + t)^2))*Elliptic.F(asin((-1.1620582220290054 + t) / (4.336860325965405 + t)), -13.928203230275509)) / (6.580370064762462sqrt((1.5874010519681994 + t) / ((4.336860325965405 + t)^2))*sqrt(4 + t^3)) + (2//5)*t*sqrt(4 + t^3) but got: (-6.181925288250038(1 + 0.6299605249474366t)*Elliptic.F(asin((-0.7320508075688772 + 0.6299605249474366t) / (2.732050807568877 + 0.6299605249474366t)), -13.928203230275509)*sqrt((1 - 0.6299605249474366t + 0.3968502629920499(t^2)) / ((2.732050807568877 + 0.6299605249474366t)^2))) / (0.8290746760692316sqrt((1 + 0.6299605249474366t) / ((2.732050807568877 + 0.6299605249474366t)^2))*sqrt(4 + t^3)) + (2//5)*t*((4 + t^3)^(1//2)) (0.906s) [ fail ]∫( (t^3) / ((4 + t^3)^(1//2)) )dt = (-24.53298676439231(1.5874010519681994 + t)*sqrt((2.5198420997897464 - 1.5874010519681994t + t^2) / ((4.336860325965405 + t)^2))*Elliptic.F(asin((-1.1620582220290054 + t) / (4.336860325965405 + t)), -13.928203230275509)) / (6.580370064762462sqrt((1.5874010519681994 + t) / ((4.336860325965405 + t)^2))*sqrt(4 + t^3)) + (2//5)*t*sqrt(4 + t^3) but got: ∫((t^3) / ((4 + t^3)^(1//2)), t) (0.0006s) [ ok ]∫( tan(x)^2 )dx = -x + tan(x) (0.0829s) [ fail ]∫( tan(x)^2 )dx = -x + tan(x) but got: ∫(tan(x)^2, x) (0.0003s) [ ok ]∫( tan(x)^4 )dx = x - tan(x) + (tan(x)^3) / 3 (0.0368s) [ fail ]∫( tan(x)^4 )dx = x - tan(x) + (tan(x)^3) / 3 but got: ∫(tan(x)^4, x) (0.0003s) [ fail ]∫( cot(x)^2 )dx = -x - cot(x) but got: ∫(cot(x)^2, x) (0.0244s) [ fail ]∫( cot(x)^2 )dx = -x - cot(x) but got: ∫(cot(x)^2, x) (0.0017s) [ fail ]∫( cot(x)^4 )dx = x + cot(x) - (1//3)*(cot(x)^3) but got: ∫(cot(x)^4, x) (0.0183s) [ fail ]∫( cot(x)^4 )dx = x + cot(x) - (1//3)*(cot(x)^3) but got: ∫(cot(x)^4, x) (0.0005s) [ ok ]∫( (2 + 3x)*sin(5x) )dx = (3//25)*sin(5x) - (1//5)*(2 + 3x)*cos(5x) (0.3688s) [ fail ]∫( (2 + 3x)*sin(5x) )dx = (3//25)*sin(5x) - (1//5)*(2 + 3x)*cos(5x) but got: ∫((2 + 3x)*sin(5x), x) (0.0008s) [ ok ]∫( x*sqrt(1 + x^2) )dx = (1//3)*((1 + x^2)^(3//2)) (0.3417s) [ fail ]∫( x*sqrt(1 + x^2) )dx = (1//3)*((1 + x^2)^(3//2)) but got: ∫(x*sqrt(1 + x^2), x) (0.0003s) [ ok ]∫( x*((-1 + x^2)^9) )dx = (1//20)*((1 - (x^2))^10) (0.3425s) [ fail?]∫( x*((-1 + x^2)^9) )dx = (1//20)*((1 - (x^2))^10) but got: -(1//2)*(x^2) + (9//4)*(x^4) - 6(x^6) + (21//2)*(x^8) - (63//5)*(x^10) + (21//2)*(x^12) - 6(x^14) + (9//4)*(x^16) - (1//2)*(x^18) + (1//20)*(x^20) (0.002s) [ ok ]∫( (3 + 2x) / ((7 + 6x)^3) )dx = (-((3 + 2x)^2)) / (8((7 + 6x)^2)) (0.0088s) [ fail?]∫( (3 + 2x) / ((7 + 6x)^3) )dx = (-((3 + 2x)^2)) / (8((7 + 6x)^2)) but got: (-(1//81) - (1//108)*x) / ((49//36) + (7//3)*x + x^2) (0.063s) [ ok ]∫( (x^4)*((1 + x^5)^5) )dx = (1//30)*((1 + x^5)^6) (0.349s) [ fail?]∫( (x^4)*((1 + x^5)^5) )dx = (1//30)*((1 + x^5)^6) but got: (1//5)*(x^5) + (1//2)*(x^10) + (2//3)*(x^15) + (1//2)*(x^20) + (1//5)*(x^25) + (1//30)*(x^30) (0.0021s) [ ok ]∫( (x^4)*((1 - x)^20) )dx = -(1//21)*((1 - x)^21) + (2//11)*((1 - x)^22) - (6//23)*((1 - x)^23) + (1//6)*((1 - x)^24) - (1//25)*((1 - x)^25) (2.3799s) [ fail?]∫( (x^4)*((1 - x)^20) )dx = -(1//21)*((1 - x)^21) + (2//11)*((1 - x)^22) - (6//23)*((1 - x)^23) + (1//6)*((1 - x)^24) - (1//25)*((1 - x)^25) but got: (1//5)*(x^5) - (10//3)*(x^6) + (190//7)*(x^7) - (285//2)*(x^8) + (1615//3)*(x^9) - (7752//5)*(x^10) + (38760//11)*(x^11) - 6460(x^12) + 9690(x^13) - (83980//7)*(x^14) + (184756//15)*(x^15) - (20995//2)*(x^16) + 7410(x^17) - (12920//3)*(x^18) + 2040(x^19) - (3876//5)*(x^20) + (1615//7)*(x^21) - (570//11)*(x^22) + (190//23)*(x^23) - (5//6)*(x^24) + (1//25)*(x^25) (0.0025s) [ ok ]∫( sin(1 / x) / (x^2) )dx = cos(1 / x) (0.1703s) [ fail ]∫( sin(1 / x) / (x^2) )dx = cos(1 / x) but got: ∫(sin(1 / x) / (x^2), x) (0.0102s) [ fail?]∫( sin((-1 + x)^(1//4)) )dx = -24sin((-1 + x)^(1//4)) + 24((-1 + x)^(1//4))*cos((-1 + x)^(1//4)) - 4((-1 + x)^(3//4))*cos((-1 + x)^(1//4)) + 12sin((-1 + x)^(1//4))*sqrt(-1 + x) but got: 4(3(2(sin((-1 + x)^(1//4)) - ((-1 + x)^(1//4))*cos((-1 + x)^(1//4))) + ((-1 + x)^(1//2))*sin((-1 + x)^(1//4))) - ((-1 + x)^(3//4))*cos((-1 + x)^(1//4))) (1.117s) [ fail ]∫( sin((-1 + x)^(1//4)) )dx = -24sin((-1 + x)^(1//4)) + 24((-1 + x)^(1//4))*cos((-1 + x)^(1//4)) - 4((-1 + x)^(3//4))*cos((-1 + x)^(1//4)) + 12sin((-1 + x)^(1//4))*sqrt(-1 + x) but got: ∫(sin((-1 + x)^(1//4)), x) (0.001s) [ ok ]∫( x*sin(x^2)*cos(x^2) )dx = (1//4)*(sin(x^2)^2) (0.375s) [ fail ]∫( x*sin(x^2)*cos(x^2) )dx = (1//4)*(sin(x^2)^2) but got: ∫(x*sin(x^2)*cos(x^2), x) (0.0009s) [ fail ]∫( sqrt(1 + 3(cos(x)^2))*sin(2x) )dx = (-2//9)*((4 - 3(sin(x)^2))^(3//2)) but got: ∫(sqrt(1 + 3(cos(x)^2))*sin(2x), x) (0.4495s) [ fail ]∫( sqrt(1 + 3(cos(x)^2))*sin(2x) )dx = (-2//9)*((4 - 3(sin(x)^2))^(3//2)) but got: ∫(sqrt(1 + 3(cos(x)^2))*sin(2x), x) (0.0004s) [ ok ]∫( 1 / (2 + 3x) )dx = (1//3)*log(2 + 3x) (0.0039s) [ fail?]∫( 1 / (2 + 3x) )dx = (1//3)*log(2 + 3x) but got: (1//3)*log((2//3) + x) (0.0011s) [ ok ]∫( log(x)^2 )dx = 2x - 2x*log(x) + x*(log(x)^2) (0.0361s) [ fail ]∫( log(x)^2 )dx = 2x - 2x*log(x) + x*(log(x)^2) but got: ∫(log(x)^2, x) (0.0003s) [ ok ]∫( x*log(x) )dx = -(1//4)*(x^2) + (1//2)*(x^2)*log(x) (0.4237s) [ fail ]∫( x*log(x) )dx = -(1//4)*(x^2) + (1//2)*(x^2)*log(x) but got: ∫(x*log(x), x) (0.0003s) [ ok ]∫( x*(log(x)^2) )dx = (x^2) / 4 - (1//2)*(x^2)*log(x) + (1//2)*(x^2)*(log(x)^2) (0.7022s) [ fail ]∫( x*(log(x)^2) )dx = (x^2) / 4 - (1//2)*(x^2)*log(x) + (1//2)*(x^2)*(log(x)^2) but got: ∫(x*(log(x)^2), x) (0.0003s) [ ok ]∫( 1 / (1 + t) )dt = log(1 + t) (0.003s) [ ok ]∫( 1 / (1 + t) )dt = log(1 + t) (0.0007s) [ fail ]∫( cot(x) )dx = log(sin(x)) but got: ∫(cot(x), x) (0.0122s) [ fail ]∫( cot(x) )dx = log(sin(x)) but got: ∫(cot(x), x) (0.0005s) [ ok ]∫( (x^n)*log(a*x) )dx = ((x^(1 + n))*log(a*x)) / (1 + n) + (-(x^(1 + n))) / ((1 + n)^2) (0.6801s) [ fail ]∫( (x^n)*log(a*x) )dx = ((x^(1 + n))*log(a*x)) / (1 + n) + (-(x^(1 + n))) / ((1 + n)^2) but got: ∫((x^n)*log(a*x), x) (0.0003s) [ ok ]∫( (x^2)*(log(x)^2) )dx = (2//27)*(x^3) - (2//9)*(x^3)*log(x) + (1//3)*(x^3)*(log(x)^2) (0.6611s) [ fail ]∫( (x^2)*(log(x)^2) )dx = (2//27)*(x^3) - (2//9)*(x^3)*log(x) + (1//3)*(x^3)*(log(x)^2) but got: ∫((x^2)*(log(x)^2), x) (0.0003s) [ ok ]∫( 1 / (x*log(x)) )dx = log(log(x)) (0.1473s) [ fail ]∫( 1 / (x*log(x)) )dx = log(log(x)) but got: ∫(1 / (x*log(x)), x) (0.0003s) [ ok ]∫( log(1 - t) / (1 - t) )dt = (-1//2)*(log(1 - t)^2) (0.1271s) [ fail ]∫( log(1 - t) / (1 - t) )dt = (-1//2)*(log(1 - t)^2) but got: ∫(log(1 - t) / (1 - t), t) (0.0004s) Error in ext_coeff: DomainError(1 / sqrt(1 + log(x)), "coeff on fractions is not yet implemented.") Error in ext_coeff: DomainError(1 / sqrt(1 + log(x)), "coeff on fractions is not yet implemented.") [ fail ]∫( log(x) / (x*sqrt(1 + log(x))) )dx = -2sqrt(1 + log(x)) + (2//3)*((1 + log(x))^(3//2)) but got: -∫(∫(1 / (x*sqrt(1 + log(x))), x) / x, x) + (2//1)*((1 + log(x))^(1//2))*log(x) (1.6625s) [ fail ]∫( log(x) / (x*sqrt(1 + log(x))) )dx = -2sqrt(1 + log(x)) + (2//3)*((1 + log(x))^(3//2)) but got: ∫(log(x) / (x*sqrt(1 + log(x))), x) (0.0003s) [ ok ]∫( (x^3)*(log(x)^3) )dx = -(3//128)*(x^4) + (3//32)*(x^4)*log(x) - (3//16)*(x^4)*(log(x)^2) + (1//4)*(x^4)*(log(x)^3) (1.1711s) [ fail ]∫( (x^3)*(log(x)^3) )dx = -(3//128)*(x^4) + (3//32)*(x^4)*log(x) - (3//16)*(x^4)*(log(x)^2) + (1//4)*(x^4)*(log(x)^3) but got: ∫((x^3)*(log(x)^3), x) (0.0004s) [ ok ]∫( (x^2)*exp(x^3) )dx = exp(x^3) / 3 (0.7581s) [ fail ]∫( (x^2)*exp(x^3) )dx = exp(x^3) / 3 but got: ∫((x^2)*exp(x^3), x) (0.0003s) [ fail?]∫( (2^sqrt(x)) / sqrt(x) )dx = (2^(1 + sqrt(x))) / 0.6931471805599453 but got: (2^(x^(1//2))) / 0.34657359027997264 (0.3654s) [ fail ]∫( (2^sqrt(x)) / sqrt(x) )dx = (2^(1 + sqrt(x))) / 0.6931471805599453 but got: ∫((2^sqrt(x)) / sqrt(x), x) (0.0893s) [ fail ]∫( cos(x)*exp(2sin(x)) )dx = (1//2)*exp(2sin(x)) but got: ∫(cos(x)*exp(2sin(x)), x) (0.5104s) [ fail ]∫( cos(x)*exp(2sin(x)) )dx = (1//2)*exp(2sin(x)) but got: ∫(cos(x)*exp(2sin(x)), x) (0.0011s) [ ok ]∫( sin(x)*exp(x) )dx = (1//2)*sin(x)*exp(x) - (1//2)*cos(x)*exp(x) (0.4495s) [ fail ]∫( sin(x)*exp(x) )dx = (1//2)*sin(x)*exp(x) - (1//2)*cos(x)*exp(x) but got: ∫(sin(x)*exp(x), x) (0.0003s) [ ok ]∫( cos(x)*exp(x) )dx = (1//2)*sin(x)*exp(x) + (1//2)*cos(x)*exp(x) (0.3902s) [ fail ]∫( cos(x)*exp(x) )dx = (1//2)*sin(x)*exp(x) + (1//2)*cos(x)*exp(x) but got: ∫(cos(x)*exp(x), x) (0.0003s) [ fail ]∫( 1 / (1 + exp(x)) )dx = x - log(1 + exp(x)) but got: ∫(1 / (1 + exp(x)), x) (0.1075s) [ fail ]∫( 1 / (1 + exp(x)) )dx = x - log(1 + exp(x)) but got: ∫(1 / (1 + exp(x)), x) (0.0003s) [ ok ]∫( x*exp(x) )dx = -exp(x) + x*exp(x) (0.3677s) [ fail ]∫( x*exp(x) )dx = -exp(x) + x*exp(x) but got: ∫(x*exp(x), x) (0.0003s) [ fail?]∫( x*exp(-x) )dx = (-x) / exp(x) - exp(-x) but got: -(ℯ^(-x)) - x*(ℯ^(-x)) (0.3599s) [ fail ]∫( x*exp(-x) )dx = (-x) / exp(x) - exp(-x) but got: ∫(x*exp(-x), x) (0.0005s) [ ok ]∫( (x^2)*exp(x) )dx = 2exp(x) - 2x*exp(x) + (x^2)*exp(x) (0.6965s) [ fail ]∫( (x^2)*exp(x) )dx = 2exp(x) - 2x*exp(x) + (x^2)*exp(x) but got: ∫((x^2)*exp(x), x) (0.0003s) [ fail?]∫( (x^2)*exp(-2x) )dx = ((-1//2)*(x^2)) / exp(2x) + ((-1//2)*x) / exp(2x) + (-1//4) / exp(2x) but got: -(1//4)*(ℯ^(-2x)) - (1//2)*x*(ℯ^(-2x)) - (1//2)*(x^2)*(ℯ^(-2x)) (0.7131s) [ fail ]∫( (x^2)*exp(-2x) )dx = ((-1//2)*(x^2)) / exp(2x) + ((-1//2)*x) / exp(2x) + (-1//4) / exp(2x) but got: ∫((x^2)*exp(-2x), x) (0.0005s) [ ok ]∫( exp(sqrt(x)) )dx = -2exp(sqrt(x)) + 2sqrt(x)*exp(sqrt(x)) (0.3602s) [ fail ]∫( exp(sqrt(x)) )dx = -2exp(sqrt(x)) + 2sqrt(x)*exp(sqrt(x)) but got: ∫(exp(sqrt(x)), x) (0.0002s) [ fail?]∫( (x^3)*exp(-(x^2)) )dx = ((-1//2)*(x^2)) / exp(x^2) + -1 / (2exp(x^2)) but got: (ℯ^(-(x^2))) / -2 - (1//2)*(x^2)*(ℯ^(-(x^2))) (0.7232s) [ fail ]∫( (x^3)*exp(-(x^2)) )dx = ((-1//2)*(x^2)) / exp(x^2) + -1 / (2exp(x^2)) but got: ∫((x^3)*exp(-(x^2)), x) (0.0004s) [ ok ]∫( cos(b*x)*exp(a*x) )dx = (a*cos(b*x)*exp(a*x)) / (a^2 + b^2) + (b*sin(b*x)*exp(a*x)) / (a^2 + b^2) (3.1122s) [ fail ]∫( cos(b*x)*exp(a*x) )dx = (a*cos(b*x)*exp(a*x)) / (a^2 + b^2) + (b*sin(b*x)*exp(a*x)) / (a^2 + b^2) but got: ∫(cos(b*x)*exp(a*x), x) (0.0003s) [ ok ]∫( sin(b*x)*exp(a*x) )dx = (a*sin(b*x)*exp(a*x)) / (a^2 + b^2) + (-b*cos(b*x)*exp(a*x)) / (a^2 + b^2) (0.3304s) [ fail ]∫( sin(b*x)*exp(a*x) )dx = (a*sin(b*x)*exp(a*x)) / (a^2 + b^2) + (-b*cos(b*x)*exp(a*x)) / (a^2 + b^2) but got: ∫(sin(b*x)*exp(a*x), x) (0.0009s) [ ok ]∫( acot(x) )dx = (1//2)*log(1 + x^2) + x*acot(x) (0.0654s) [ fail ]∫( acot(x) )dx = (1//2)*log(1 + x^2) + x*acot(x) but got: ∫(acot(x), x) (0.0002s) [ fail ]∫( asec(x) )dx = -atanh(sqrt(1 + -1 / (x^2))) + x*asec(x) but got: ∫(asec(x), x) (0.0118s) [ fail ]∫( asec(x) )dx = -atanh(sqrt(1 + -1 / (x^2))) + x*asec(x) but got: ∫(asec(x), x) (0.0002s) [ fail ]∫( acsc(x) )dx = atanh(sqrt(1 + -1 / (x^2))) + x*acsc(x) but got: ∫(acsc(x), x) (0.0111s) [ fail ]∫( acsc(x) )dx = atanh(sqrt(1 + -1 / (x^2))) + x*acsc(x) but got: ∫(acsc(x), x) (0.0002s) [ fail ]∫( asin(x)^2 )dx = -2x + 2asin(x)*sqrt(1 - (x^2)) + x*(asin(x)^2) but got: -2∫((x*asin(x)) / sqrt(1 - (x^2)), x) + x*(asin(x)^2) (0.134s) [ fail ]∫( asin(x)^2 )dx = -2x + 2asin(x)*sqrt(1 - (x^2)) + x*(asin(x)^2) but got: ∫(asin(x)^2, x) (0.0003s) [ ok ]∫( asin(x) / (x^2) )dx = (-asin(x)) / x - atanh(sqrt(1 - (x^2))) (0.1917s) [ fail ]∫( asin(x) / (x^2) )dx = (-asin(x)) / x - atanh(sqrt(1 - (x^2))) but got: ∫(asin(x) / (x^2), x) (0.0003s) [ ok ]∫( 1 / sqrt(a^2 - (x^2)) )dx = atan(x / sqrt(a^2 - (x^2))) (0.025s) [ fail ]∫( 1 / sqrt(a^2 - (x^2)) )dx = atan(x / sqrt(a^2 - (x^2))) but got: ∫(1 / sqrt(a^2 - (x^2)), x) (0.0003s) [ fail?]∫( 1 / sqrt(1 - 2x - (x^2)) )dx = asin((1 + x) / 1.4142135623730951) but got: -0.9999999999999999asin(0.3535533905932738(-2 - 2x)) (0.1659s) [ fail ]∫( 1 / sqrt(1 - 2x - (x^2)) )dx = asin((1 + x) / 1.4142135623730951) but got: ∫(1 / sqrt(1 - 2x - (x^2)), x) (0.0003s) [ fail?]∫( 1 / (a^2 + x^2) )dx = atan(x / a) / a but got: atan(x / sqrt(a^2)) / sqrt(a^2) (0.2896s) [ fail ]∫( 1 / (a^2 + x^2) )dx = atan(x / a) / a but got: ∫(1 / (a^2 + x^2), x) (0.0003s) [ fail?]∫( 1 / (a + b*(x^2)) )dx = atan((x*sqrt(b)) / sqrt(a)) / (sqrt(a)*sqrt(b)) but got: (sqrt(a / b)*atan(x / sqrt(a / b))) / a (0.2031s) [ fail ]∫( 1 / (a + b*(x^2)) )dx = atan((x*sqrt(b)) / sqrt(a)) / (sqrt(a)*sqrt(b)) but got: ∫(1 / (a + b*(x^2)), x) (0.0003s) [ fail?]∫( 1 / (2 - x + x^2) )dx = -0.7559289460184544atan((1 - 2x) / 2.6457513110645907) but got: 0.7559289460184544atan((-1 + 2x) / 2.6457513110645907) (0.058s) [ fail?]∫( 1 / (2 - x + x^2) )dx = -0.7559289460184544atan((1 - 2x) / 2.6457513110645907) but got: 0.7559289460184544544290330724683601216315026237378429086766669883431625209229337atan(-0.3779644730092272272145165362341800608157513118689214543383334941715812604614669 + 0.7559289460184544544290330724683601216315026237378429086766669883431625209229337x) (0.002s) [ ok ]∫( x*atan(x) )dx = -(1//2)*x + atan(x) / 2 + (1//2)*(x^2)*atan(x) (0.59s) [ fail ]∫( x*atan(x) )dx = -(1//2)*x + atan(x) / 2 + (1//2)*(x^2)*atan(x) but got: ∫(x*atan(x), x) (0.0003s) [ ok ]∫( (x^2)*acos(x) )dx = -(1//3)*sqrt(1 - (x^2)) + (1//9)*((1 - (x^2))^(3//2)) + (1//3)*(x^3)*acos(x) (1.2526s) [ fail ]∫( (x^2)*acos(x) )dx = -(1//3)*sqrt(1 - (x^2)) + (1//9)*((1 - (x^2))^(3//2)) + (1//3)*(x^3)*acos(x) but got: ∫((x^2)*acos(x), x) (0.0003s) Error in ext_coeff: DomainError(1 / (1 + x^2), "coeff on fractions is not yet implemented.") Error in ext_coeff: DomainError(1 / (1 + x^2), "coeff on fractions is not yet implemented.") [ fail ]∫( x*(atan(x)^2) )dx = (1//2)*log(1 + x^2) - x*atan(x) + (atan(x)^2) / 2 + (1//2)*(x^2)*(atan(x)^2) but got: -∫(((x^2)*atan(x)) / (1 + x^2), x) + (1//2)*(x^2)*(atan(x)^2) (0.7982s) [ fail ]∫( x*(atan(x)^2) )dx = (1//2)*log(1 + x^2) - x*atan(x) + (atan(x)^2) / 2 + (1//2)*(x^2)*(atan(x)^2) but got: ∫(x*(atan(x)^2), x) (0.0004s) [ ok ]∫( atan(sqrt(x)) )dx = atan(sqrt(x)) - sqrt(x) + x*atan(sqrt(x)) (0.1846s) [ fail ]∫( atan(sqrt(x)) )dx = atan(sqrt(x)) - sqrt(x) + x*atan(sqrt(x)) but got: ∫(atan(sqrt(x)), x) (0.0003s) Error in ext_coeff: DomainError(1 / (1 + x), "coeff on fractions is not yet implemented.") Error in ext_coeff: DomainError(1 / (1 + x), "coeff on fractions is not yet implemented.") [ fail ]∫( atan(sqrt(x)) / ((1 + x)*sqrt(x)) )dx = atan(sqrt(x))^2 but got: ∫(atan(sqrt(x)) / (sqrt(x) + x*sqrt(x)), x) (1.3642s) [ fail ]∫( atan(sqrt(x)) / ((1 + x)*sqrt(x)) )dx = atan(sqrt(x))^2 but got: ∫(atan(sqrt(x)) / ((1 + x)*sqrt(x)), x) (0.0004s) [ ok ]∫( sqrt(1 - (x^2)) )dx = asin(x) / 2 + (1//2)*x*sqrt(1 - (x^2)) (0.0236s) [ fail ]∫( sqrt(1 - (x^2)) )dx = asin(x) / 2 + (1//2)*x*sqrt(1 - (x^2)) but got: ∫(sqrt(1 - (x^2)), x) (0.0002s) Error in ext_coeff: DomainError(1 / ((1 + x^2)^(3//2)), "coeff on fractions is not yet implemented.") Error in ext_coeff: DomainError(1 / ((1 + x^2)^(3//2)), "coeff on fractions is not yet implemented.") [ fail ]∫( (x*exp(atan(x))) / ((1 + x^2)^(3//2)) )dx = (-(1 - x)*exp(atan(x))) / (2sqrt(1 + x^2)) but got: ∫((x*exp(atan(x))) / ((1 + x^2)^(3//2)), x) (1.0074s) [ fail ]∫( (x*exp(atan(x))) / ((1 + x^2)^(3//2)) )dx = (-(1 - x)*exp(atan(x))) / (2sqrt(1 + x^2)) but got: ∫((x*exp(atan(x))) / ((1 + x^2)^(3//2)), x) (0.0004s) [ fail ]∫( exp(atan(x)) / ((1 + x^2)^(3//2)) )dx = ((1 + x)*exp(atan(x))) / (2sqrt(1 + x^2)) but got: ∫(exp(atan(x)) / ((1 + x^2)^(3//2)), x) (1.3186s) [ fail ]∫( exp(atan(x)) / ((1 + x^2)^(3//2)) )dx = ((1 + x)*exp(atan(x))) / (2sqrt(1 + x^2)) but got: ∫(exp(atan(x)) / ((1 + x^2)^(3//2)), x) (0.0004s) [ ok ]∫( (x^2) / ((1 + x^2)^2) )dx = atan(x) / 2 + (-x) / (2(1 + x^2)) (0.0655s) [ ok ]∫( (x^2) / ((1 + x^2)^2) )dx = atan(x) / 2 + (-x) / (2(1 + x^2)) (0.0022s) [ ok ]∫( exp(x) / (1 + exp(2x)) )dx = atan(exp(x)) (0.5176s) [ fail ]∫( exp(x) / (1 + exp(2x)) )dx = atan(exp(x)) but got: ∫(exp(x) / (1 + exp(2x)), x) (0.0003s) [ fail ]∫( acot(exp(x)) / exp(x) )dx = -x + (-acot(exp(x))) / exp(x) + (1//2)*log(1 + exp(2x)) but got: ∫(acot(exp(x)) / exp(x), x) (0.0853s) [ fail ]∫( acot(exp(x)) / exp(x) )dx = -x + (-acot(exp(x))) / exp(x) + (1//2)*log(1 + exp(2x)) but got: ∫(acot(exp(x)) / exp(x), x) (0.0003s) [ fail ]∫( ((a + x) / (a - x))^(1//2) )dx = 2a*atan(sqrt((a + x) / (a - x))) - (a - x)*sqrt((a + x) / (a - x)) but got: ∫(sqrt((a + x) / (a - x)), x) (0.3459s) [ fail ]∫( ((a + x) / (a - x))^(1//2) )dx = 2a*atan(sqrt((a + x) / (a - x))) - (a - x)*sqrt((a + x) / (a - x)) but got: ∫(((a + x) / (a - x))^(1//2), x) (0.0004s) [ fail ]∫( sqrt((-a + x)*(b - x)) )dx = -(1//4)*(a + b - 2x)*sqrt(-a*b + (a + b)*x - (x^2)) - (1//8)*((a - b)^2)*atan((a + b - 2x) / (2sqrt(-a*b + (a + b)*x - (x^2)))) but got: -(1//4)*((-a*b + (a + b)*x - (x^2))^(1//2))*(a + b - 2x) + (1//8)*((a + b)^2 - 4a*b)*∫(1 / ((-a*b + (a + b)*x - (x^2))^(1//2)), x) (0.1262s) [ fail ]∫( sqrt((-a + x)*(b - x)) )dx = -(1//4)*(a + b - 2x)*sqrt(-a*b + (a + b)*x - (x^2)) - (1//8)*((a - b)^2)*atan((a + b - 2x) / (2sqrt(-a*b + (a + b)*x - (x^2)))) but got: ∫(sqrt((-a + x)*(b - x)), x) (0.0002s) [ ok ]∫( 1 / sqrt((-a + x)*(b - x)) )dx = -atan((a + b - 2x) / (2sqrt(-a*b + (a + b)*x - (x^2)))) (0.1294s) [ fail ]∫( 1 / sqrt((-a + x)*(b - x)) )dx = -atan((a + b - 2x) / (2sqrt(-a*b + (a + b)*x - (x^2)))) but got: ∫(1 / sqrt((-a + x)*(b - x)), x) (0.0003s) [ fail?]∫( (3 + 5x) / (-3 + 2x + x^2) )dx = 2log(1 - x) + 3log(3 + x) but got: 2.0log(-1.0 + x) + 3.0log(3.0 + x) (0.2216s) [ ok ]∫( (3 + 5x) / (-3 + 2x + x^2) )dx = 2log(1 - x) + 3log(3 + x) (0.0014s) [ fail?]∫( (5 + 2x) / (-3 + 2x + x^2) )dx = (7//4)*log(1 - x) + (1//4)*log(3 + x) but got: 1.75log(-1.0 + x) + 0.25log(3.0 + x) (0.0296s) [ ok ]∫( (5 + 2x) / (-3 + 2x + x^2) )dx = (7//4)*log(1 - x) + (1//4)*log(3 + x) (0.0013s) [ fail ]∫( (3x + x^3) / (-3 - 2x + x^2) )dx = 2x + log(1 + x) + 9log(3 - x) + (x^2) / 2 but got: ∫((3x + x^3) / (-3 - 2x + x^2), x) (0.4362s) [ ok ]∫( (3x + x^3) / (-3 - 2x + x^2) )dx = 2x + log(1 + x) + 9log(3 - x) + (x^2) / 2 (0.0013s) [ fail ]∫( (-1 + 5x + 2(x^2)) / (-2x + x^2 + x^3) )dx = -(1//2)*log(2 + x) + 2log(1 - x) + log(x) / 2 but got: ∫((-1 + 5x + 2(x^2)) / (-2x + x^2 + x^3), x) (6.9211s) [ ok ]∫( (-1 + 5x + 2(x^2)) / (-2x + x^2 + x^3) )dx = -(1//2)*log(2 + x) + 2log(1 - x) + log(x) / 2 (0.0013s) [ fail ]∫( (3 + 2x + x^2) / ((-1 + x)*((1 + x)^2)) )dx = (3//2)*log(1 - x) - (1//2)*log(1 + x) + 1 / (1 + x) but got: ∫((3 + 2x + x^2) / (-1 - x + x^2 + x^3), x) (0.3261s) [ ok ]∫( (3 + 2x + x^2) / ((-1 + x)*((1 + x)^2)) )dx = (3//2)*log(1 - x) - (1//2)*log(1 + x) + 1 / (1 + x) (0.0013s) [ fail?]∫( (-2 + 2x + 3(x^2)) / (-1 + x^3) )dx = log(1 - (x^3)) + 2.3094010767585034atan((1 + 2x) / 1.7320508075688772) but got: 2.3094010767585034atan((4 + 8x) / 6.928203230275509) + log(-1 + x^3) (0.9322s) [ fail?]∫( (-2 + 2x + 3(x^2)) / (-1 + x^3) )dx = log(1 - (x^3)) + 2.3094010767585034atan((1 + 2x) / 1.7320508075688772) but got: log(1 + x + x^2) + 2.30940107675850305803659512200782982259040700508050750407440930593591068921173atan(0.5773502691896257645091487805019574556476017512701268760186023264839776723029325 + 1.154700538379251529018297561003914911295203502540253752037204652967955344605865x) + log(1 - x) (0.0035s) Error in ext_coeff: DomainError(1 / ((2 + x^2)^2), "coeff on fractions is not yet implemented.") Error in ext_coeff: DomainError(1 / ((2 + x^2)^2), "coeff on fractions is not yet implemented.") [ fail ]∫( (2 - x + 2(x^2) - (x^3) + x^4) / ((-1 + x)*((2 + x^2)^2)) )dx = (1//3)*log(1 - x) + (1//3)*log(2 + x^2) - 0.2357022603955158atan(x / 1.4142135623730951) + 1 / (2(2 + x^2)) but got: ∫((2 - x + 2(x^2) - (x^3) + x^4) / (-4 - 4(x^2) + 4(x + x^3) - (x^4) + x^5), x) (0.6708s) [except] exception during ∫( (2 - x + 2(x^2) - (x^3) + x^4) / ((-1 + x)*((2 + x^2)^2)) )dx : MethodError(MultivariatePolynomials.Term{T, DynamicPolynomials.Monomial{DynamicPolynomials.Commutative{DynamicPolynomials.CreationOrder}, MultivariatePolynomials.Graded{MultivariatePolynomials.Reverse{MultivariatePolynomials.InverseLexOrder}}}} where T, (MultivariatePolynomials.Term{_A, DynamicPolynomials.Monomial{DynamicPolynomials.Commutative{DynamicPolynomials.CreationOrder}, MultivariatePolynomials.Graded{MultivariatePolynomials.Reverse{MultivariatePolynomials.InverseLexOrder}}}} where _A[1.8856180831641264905584876032662577927112579345703125atan_4502690245428049588, 1.8856180831641264905584876032662577927112579345703125x_18299937989872318924atan_4502690245428049588, 0.4714045207910316x_18299937989872318924²atan_4502690245428049588],), 0x0000000000009cb7) [ ok ]∫( 1 / (sin(x) + cos(x)) )dx = -0.7071067811865475atanh((-sin(x) + cos(x)) / 1.4142135623730951) (0.0761s) [ fail ]∫( 1 / (sin(x) + cos(x)) )dx = -0.7071067811865475atanh((-sin(x) + cos(x)) / 1.4142135623730951) but got: ∫(1 / (sin(x) + cos(x)), x) (0.0154s) [ fail ]∫( x / (4 + sqrt(4 - (x^2)) - (x^2)) )dx = -log(1 + sqrt(4 - (x^2))) but got: ∫(x / (4 + sqrt(4 - (x^2)) - (x^2)), x) (0.0793s) [ fail ]∫( x / (4 + sqrt(4 - (x^2)) - (x^2)) )dx = -log(1 + sqrt(4 - (x^2))) but got: ∫(x / (4 + sqrt(4 - (x^2)) - (x^2)), x) (0.0027s) [ fail?]∫( (3 + 2x) / ((5 + x)*(-2 + x)) )dx = log(2 - x) + log(5 + x) but got: log(-10 + 3x + x^2) (0.1318s) [ fail?]∫( (3 + 2x) / ((5 + x)*(-2 + x)) )dx = log(2 - x) + log(5 + x) but got: log(10 - 3x - (x^2)) (0.0012s) [ fail ]∫( x / ((3 + x)*(1 + x)*(2 + x)) )dx = 2log(2 + x) - (1//2)*log(1 + x) - (3//2)*log(3 + x) but got: ∫(x / (6 + 11x + 6(x^2) + x^3), x) (1.5352s) [ ok ]∫( x / ((3 + x)*(1 + x)*(2 + x)) )dx = 2log(2 + x) - (1//2)*log(1 + x) - (3//2)*log(3 + x) (0.0012s) [ fail ]∫( x / (2 - 3x + x^3) )dx = -(2//9)*log(2 + x) + (2//9)*log(1 - x) + 1 / (3(1 - x)) but got: ∫(x / (2 - 3x + x^3), x) (0.0705s) [ ok ]∫( x / (2 - 3x + x^3) )dx = -(2//9)*log(2 + x) + (2//9)*log(1 - x) + 1 / (3(1 - x)) (0.0013s) [ fail ]∫( (-6 + 2x + x^4) / (-2x + x^2 + x^3) )dx = -x + log(2 + x) - log(1 - x) + 3log(x) + (x^2) / 2 but got: ∫((-6 + 2x + x^4) / (-2x + x^2 + x^3), x) (0.0766s) [ ok ]∫( (-6 + 2x + x^4) / (-2x + x^2 + x^3) )dx = -x + log(2 + x) - log(1 - x) + 3log(x) + (x^2) / 2 (0.0013s) [ fail ]∫( (7 + 8(x^3)) / ((1 + x)*((1 + 2x)^3)) )dx = log(1 + x) + 3 / (1 + 2x) + -3 / ((1 + 2x)^2) but got: ∫((7 + 8(x^3)) / (1 + 7x + 18(x^2) + 20(x^3) + 8(x^4)), x) (0.259s) [ ok ]∫( (7 + 8(x^3)) / ((1 + x)*((1 + 2x)^3)) )dx = log(1 + x) + 3 / (1 + 2x) + -3 / ((1 + 2x)^2) (0.0014s) [ fail?]∫( (1 + x + 4(x^2)) / (-1 + x^3) )dx = log(1 + x + x^2) + 2log(1 - x) but got: -0.3333333333333333log(1.0 + x + x^2) + 0.6666666666666666log(1.0 - x) + (4//3)*log(-1 + x^3) (1.2732s) [ ok ]∫( (1 + x + 4(x^2)) / (-1 + x^3) )dx = log(1 + x + x^2) + 2log(1 - x) (0.0014s) [ fail?]∫( (x^4) / (4 + 5(x^2) + x^4) )dx = x + atan(x) / 3 - (8//3)*atan(x / 2) but got: x + 0.3333333333333335atan(x) - 2.666666666666667atan(x / 2.0) (0.1805s) [ fail?]∫( (x^4) / (4 + 5(x^2) + x^4) )dx = x + atan(x) / 3 - (8//3)*atan(x / 2) but got: x + (1//3)*atan(x) + (8//3)*atan((-1//2)*x) (0.002s) [ fail ]∫( (2 + x) / (x + x^2) )dx = -log(1 + x) + 2log(x) but got: ∫((2 + x) / (x + x^2), x) (0.4733s) [ ok ]∫( (2 + x) / (x + x^2) )dx = -log(1 + x) + 2log(x) (0.0011s) [ fail ]∫( 1 / (x*((1 + x^2)^2)) )dx = -(1//2)*log(1 + x^2) + log(x) + 1 / (2(1 + x^2)) but got: (1//2)*substitute_after_int(∫(1 / (x + 2(x^2) + x^3), x), x, x^2) (0.678s) [ ok ]∫( 1 / (x*((1 + x^2)^2)) )dx = -(1//2)*log(1 + x^2) + log(x) + 1 / (2(1 + x^2)) (0.0016s) [ fail ]∫( 1 / ((1 + x)*((2 + x)^2)*((3 + x)^3)) )dx = 2log(2 + x) + (1//8)*log(1 + x) - (17//8)*log(3 + x) + 5 / (4(3 + x)) + 1 / (2 + x) + 1 / (4((3 + x)^2)) but got: ∫(1 / (108 + 324x + 387(x^2) + 238(x^3) + 80(x^4) + 14(x^5) + x^6), x) (0.0824s) [ ok ]∫( 1 / ((1 + x)*((2 + x)^2)*((3 + x)^3)) )dx = 2log(2 + x) + (1//8)*log(1 + x) - (17//8)*log(3 + x) + 5 / (4(3 + x)) + 1 / (2 + x) + 1 / (4((3 + x)^2)) (0.002s) [ ok ]∫( x / ((1 + x)^2) )dx = log(1 + x) + 1 / (1 + x) (0.2248s) [ ok ]∫( x / ((1 + x)^2) )dx = log(1 + x) + 1 / (1 + x) (0.0009s) [ fail ]∫( 1 / (-x + x^3) )dx = (1//2)*log(1 - (x^2)) - log(x) but got: ∫(1 / (-x + x^3), x) (0.139s) [ ok ]∫( 1 / (-x + x^3) )dx = (1//2)*log(1 - (x^2)) - log(x) (0.0012s) [ fail?]∫( (x^2) / (-6 + x + x^2) )dx = x + (4//5)*log(2 - x) - (9//5)*log(3 + x) but got: x + 0.8log(-2.0 + x) - 1.8log(3.0 + x) (0.0981s) [ ok ]∫( (x^2) / (-6 + x + x^2) )dx = x + (4//5)*log(2 - x) - (9//5)*log(3 + x) (0.0012s) [ fail?]∫( (2 + x) / (4 - 4x + x^2) )dx = log(2 - x) + 4 / (2 - x) but got: log(-2 + x) + 4 / (2 - x) (0.2499s) [ ok ]∫( (2 + x) / (4 - 4x + x^2) )dx = log(2 - x) + 4 / (2 - x) (0.001s) [ fail?]∫( 1 / ((4 - 4x + x^2)*(5 - 4x + x^2)) )dx = atan(2 - x) + 1 / (2 - x) but got: -atan(-2 + x) + -1 / (-2 + x) (1.9908s) [ ok ]∫( 1 / ((4 - 4x + x^2)*(5 - 4x + x^2)) )dx = atan(2 - x) + 1 / (2 - x) (0.0018s) [ fail ]∫( (-3 + x) / (2x + 3(x^2) + x^3) )dx = -(5//2)*log(2 + x) + 4log(1 + x) - (3//2)*log(x) but got: ∫((-3 + x) / (2x + 3(x^2) + x^3), x) (0.1961s) [ ok ]∫( (-3 + x) / (2x + 3(x^2) + x^3) )dx = -(5//2)*log(2 + x) + 4log(1 + x) - (3//2)*log(x) (0.0014s) [ ok ]∫( 1 / ((-1 + x^2)^2) )dx = x / (2(1 - (x^2))) + atanh(x) / 2 (0.0282s) [except] exception during ∫( 1 / ((-1 + x^2)^2) )dx : MethodError(MultivariatePolynomials.Term{T, DynamicPolynomials.Monomial{DynamicPolynomials.Commutative{DynamicPolynomials.CreationOrder}, MultivariatePolynomials.Graded{MultivariatePolynomials.Reverse{MultivariatePolynomials.InverseLexOrder}}}} where T, (MultivariatePolynomials.Term{_A, DynamicPolynomials.Monomial{DynamicPolynomials.Commutative{DynamicPolynomials.CreationOrder}, MultivariatePolynomials.Graded{MultivariatePolynomials.Reverse{MultivariatePolynomials.InverseLexOrder}}}} where _A[-1//2log_15247593870954396818, atanh_4227300819355447319, x_18299937989872318924log_15247593870954396818, -2//1x_18299937989872318924atanh_4227300819355447319, -1//2x_18299937989872318924²log_15247593870954396818, x_18299937989872318924²atanh_4227300819355447319],), 0x0000000000009cb7) [ ok ]∫( (1 + x) / (-1 + x^3) )dx = -(1//3)*log(1 + x + x^2) + (2//3)*log(1 - x) (0.0885s) [ ok ]∫( (1 + x) / (-1 + x^3) )dx = -(1//3)*log(1 + x + x^2) + (2//3)*log(1 - x) (0.0012s) [ fail ]∫( (1 + x^4) / (x*((1 + x^2)^2)) )dx = log(x) + 1 / (1 + x^2) but got: (1//2)*substitute_after_int(∫((1 + x^2) / (x + 2(x^2) + x^3), x), x, x^2) (0.4452s) [ ok ]∫( (1 + x^4) / (x*((1 + x^2)^2)) )dx = log(x) + 1 / (1 + x^2) (0.001s) ====================================================================================== Information request received. A stacktrace will print followed by a 1.0 second profile. --trace-compile is enabled during profile collection. ====================================================================================== cmd: /opt/julia/bin/julia 27 running 1 of 1 signal (10): User defined signal 1 fl_map1 at /source/src/flisp/flisp.c:2194 unknown function (ip: 0x15c) at (unknown file) unknown function (ip: 0x7fdcdeab783f) at /opt/julia/bin/../lib/julia/libjulia-internal.so.1.14 unknown function (ip: (nil)) at (unknown file) ============================================================== Profile collected. A report will print at the next yield point. Disabling --trace-compile ============================================================== ====================================================================================== Information request received. A stacktrace will print followed by a 1.0 second profile. --trace-compile is enabled during profile collection. ====================================================================================== cmd: /opt/julia/bin/julia 1 running 0 of 1 signal (10): User defined signal 1 epoll_pwait at /lib/x86_64-linux-gnu/libc.so.6 (unknown line) uv__io_poll at /workspace/srcdir/libuv/src/unix/linux.c:1404 uv_run at /workspace/srcdir/libuv/src/unix/core.c:430 ijl_task_get_next at /source/src/scheduler.c:457 wait at ./task.jl:1246 wait_forever at ./task.jl:1168 jfptr_wait_forever_0.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4116 [inlined] ijl_apply_generic at /source/src/gf.c:4342 jl_apply at /source/src/julia.h:2295 [inlined] start_task at /source/src/task.c:1275 unknown function (ip: (nil)) at (unknown file) ============================================================== Profile collected. A report will print at the next yield point. Disabling --trace-compile ============================================================== ┌ Warning: There were no samples collected in one or more groups. │ This may be due to idle threads, or you may need to run your │ program longer (perhaps by running it multiple times), │ or adjust the delay between samples with `Profile.init()`. └ @ Profile /opt/julia/share/julia/stdlib/v1.14/Profile/src/Profile.jl:1361 Overhead ╎ [+additional indent] Count File:Line Function ========================================================= Thread 1 (default) Task 0x000071783cd2c970 Total snapshots: 417. Utilization: 0% ╎417 @Base/task.jl:1168 wait_forever() 416╎ 417 @Base/task.jl:1246 wait() [1] signal 15: Terminated in expression starting at /PkgEval.jl/scripts/evaluate.jl:214 epoll_pwait at /lib/x86_64-linux-gnu/libc.so.6 (unknown line) uv__io_poll at /workspace/srcdir/libuv/src/unix/linux.c:1404 uv_run at /workspace/srcdir/libuv/src/unix/core.c:430 ijl_task_get_next at /source/src/scheduler.c:457 wait at ./task.jl:1246 wait_forever at ./task.jl:1168 jfptr_wait_forever_0.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4116 [inlined] ijl_apply_generic at /source/src/gf.c:4342 jl_apply at /source/src/julia.h:2295 [inlined] start_task at /source/src/task.c:1275 unknown function (ip: (nil)) at (unknown file) Allocations: 19277284 (Pool: 19276610; Big: 674); GC: 15 [27] signal 15: Terminated in expression starting at none:1 apply_cl at /source/src/flisp/flisp.c:1674 _applyn at /source/src/flisp/flisp.c:679 fl_map1 at /source/src/flisp/flisp.c:2217 [inlined] fl_map1 at /source/src/flisp/flisp.c:2192 apply_cl at /source/src/flisp/flisp.c:1174 _applyn at /source/src/flisp/flisp.c:679 fl_map1 at /source/src/flisp/flisp.c:2204 [inlined] fl_map1 at /source/src/flisp/flisp.c:2192 apply_cl at /source/src/flisp/flisp.c:1174 _applyn at /source/src/flisp/flisp.c:679 fl_map1 at /source/src/flisp/flisp.c:2204 [inlined] fl_map1 at /source/src/flisp/flisp.c:2192 apply_cl at /source/src/flisp/flisp.c:1174 do_trycatch at /source/src/flisp/flisp.c:895 apply_cl at /source/src/flisp/flisp.c:1804 do_trycatch at /source/src/flisp/flisp.c:895 apply_cl at /source/src/flisp/flisp.c:1804 _applyn at /source/src/flisp/flisp.c:679 fl_applyn at /source/src/flisp/flisp.c:719 jl_fl_lower at /source/src/ast.c:1208 fl_lower at ./flfrontend.jl:24 jfptr_fl_lower_1.1 at /opt/julia/lib/julia/sys.so (unknown line) _jl_invoke at /source/src/gf.c:4116 [inlined] ijl_apply_generic at /source/src/gf.c:4342 jl_apply at /source/src/julia.h:2295 [inlined] ijl_lower at /source/src/ast.c:1271 jl_toplevel_eval_flex at /source/src/toplevel.c:660 ijl_toplevel_eval at /source/src/toplevel.c:780 ijl_toplevel_eval_in at /source/src/toplevel.c:825 eval at ./boot.jl:517 EvalInto at ./boot.jl:523 [inlined] rule3 at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/rule2.jl:427 apply_rule at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:24 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:85 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at 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/home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114 repeated_prewalk a PkgEval terminated after 2738.01s: test log exceeded the size limit