Package evaluation to test SymbolicIntegration on Julia 1.14.0-DEV.2071 (559ec66647*) started at 2026-04-24T00:59:39.583 ################################################################################ # Set-up # Installing PkgEval dependencies (TestEnv)... Activating project at `~/.julia/environments/v1.14` Set-up completed after 13.41s ################################################################################ # Installation # Installing SymbolicIntegration... Resolving package versions... Installed CompositionsBase ────────── v0.1.2 Installed Indexing ────────────────── v1.1.1 Installed CommonWorldInvalidations ── v1.0.0 Installed TermInterface ───────────── v2.0.0 Installed MacroTools ──────────────── v0.5.16 Installed FresnelIntegrals ────────── v0.2.0 Installed DataStructures ──────────── v0.19.4 Installed Bijections ──────────────── v0.2.2 Installed Adapt ───────────────────── v4.5.2 Installed AbstractTrees ───────────── v0.4.5 Installed HypergeometricFunctions ─── v0.3.28 Installed RuntimeGeneratedFunctions ─ v0.5.18 Installed ConstructionBase ────────── v1.6.0 Installed ArnoldiMethod ───────────── v0.4.0 Installed AbstractAlgebra ─────────── v0.48.5 Installed ExprTools ───────────────── v0.1.10 Installed OrderedCollections ──────── v1.8.1 Installed DynamicPolynomials ──────── v0.6.6 Installed Combinatorics ───────────── v1.0.2 Installed SymbolicIndexingInterface ─ v0.3.46 Installed ArrayInterface ──────────── v7.24.0 Installed SymbolicUtils ───────────── v4.24.2 Installed RecipesBase ─────────────── v1.3.4 Installed DomainSets ──────────────── v0.8.0 Installed Statistics ──────────────── v1.11.1 Installed ReadOnlyArrays ──────────── v0.2.0 Installed ExproniconLite ──────────── v0.10.14 Installed TaskLocalValues ─────────── v0.1.3 Installed StaticArraysCore ────────── v1.4.4 Installed FLINT_jll ───────────────── v301.400.1+0 Installed StaticArrays ────────────── v1.9.18 Installed AbstractPlutoDingetjes ──── v1.3.2 Installed PrecompileTools ─────────── v1.3.3 Installed IrrationalConstants ─────── v0.2.6 Installed MultivariatePolynomials ─── v0.5.19 Installed IntegerMathUtils ────────── v0.1.3 Installed SciMLPublic ─────────────── v1.0.1 Installed NaNMath ─────────────────── v1.1.3 Installed Requires ────────────────── v1.3.1 Installed SimpleTraits ────────────── v0.9.5 Installed OpenSpecFun_jll ─────────── v0.5.6+0 Installed WeakCacheSets ───────────── v0.1.0 Installed LogExpFunctions ─────────── v0.3.29 Installed Symbolics ───────────────── v7.19.0 Installed DiffRules ───────────────── v1.15.1 Installed OpenBLAS32_jll ──────────── v0.3.30+0 Installed FunctionMaps ────────────── v0.1.2 Installed StarAlgebras ────────────── v0.3.0 Installed EnumX ───────────────────── v1.0.7 Installed Elliptic ────────────────── v1.0.1 Installed Reexport ────────────────── v1.2.2 Installed InverseFunctions ────────── v0.1.17 Installed Jieko ───────────────────── v0.2.1 Installed IntervalSets ────────────── v0.7.14 Installed SpecialFunctions ────────── v2.7.2 Installed Nemo ────────────────────── v0.54.1 Installed CompositeTypes ──────────── v0.1.4 Installed Preferences ─────────────── v1.5.2 Installed Setfield ────────────────── v1.1.2 Installed JLLWrappers ─────────────── v1.7.1 Installed MutableArithmetics ──────── v1.7.1 Installed SymbolicLimits ──────────── v1.1.0 Installed Dictionaries ────────────── v0.4.6 Installed Primes ──────────────────── v0.5.7 Installed Moshi ───────────────────── v0.3.7 Installed ADTypes ─────────────────── v1.21.0 Installed SymbolicIntegration ─────── v3.5.0 Installed Inflate ─────────────────── v0.1.5 Installed DocStringExtensions ─────── v0.9.5 Installed Graphs ──────────────────── v1.14.0 Installed RandomExtensions ────────── v0.4.4 Installed Accessors ───────────────── v0.1.44 Installed PolyLog ─────────────────── v2.6.2 Installing 3 artifacts Installed artifact OpenSpecFun 194.9 KiB Installed artifact OpenBLAS32 10.0 MiB Installed artifact FLINT 23.6 MiB 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 v0.48.5 [6e696c72] + AbstractPlutoDingetjes v1.3.2 [1520ce14] + AbstractTrees v0.4.5 [7d9f7c33] + Accessors v0.1.44 [79e6a3ab] + Adapt v4.5.2 [ec485272] + ArnoldiMethod v0.4.0 [4fba245c] + ArrayInterface v7.24.0 [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 v0.19.4 [85a47980] + Dictionaries v0.4.6 [b552c78f] + DiffRules v1.15.1 [ffbed154] + DocStringExtensions v0.9.5 [5b8099bc] + DomainSets v0.8.0 [7c1d4256] + DynamicPolynomials v0.6.6 [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 [a85aefff] + FunctionMaps v0.1.2 [86223c79] + Graphs v1.14.0 [34004b35] + HypergeometricFunctions v0.3.28 [313cdc1a] + Indexing v1.1.1 [d25df0c9] + Inflate v0.1.5 [18e54dd8] + IntegerMathUtils v0.1.3 [8197267c] + IntervalSets v0.7.14 [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 v0.5.19 [d8a4904e] + MutableArithmetics v1.7.1 [77ba4419] + NaNMath v1.1.3 [2edaba10] + Nemo v0.54.1 [bac558e1] + OrderedCollections v1.8.1 [85e3b03c] + PolyLog v2.6.2 [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 v0.5.18 [431bcebd] + SciMLPublic v1.0.1 [efcf1570] + Setfield v1.1.2 [699a6c99] + SimpleTraits v0.9.5 [276daf66] + SpecialFunctions v2.7.2 [0c0c59c1] + StarAlgebras v0.3.0 [90137ffa] + StaticArrays v1.9.18 [1e83bf80] + StaticArraysCore v1.4.4 [10745b16] + Statistics v1.11.1 [2efcf032] + SymbolicIndexingInterface v0.3.46 [315ce56f] + SymbolicIntegration v3.5.0 [19f23fe9] + SymbolicLimits v1.1.0 [d1185830] + SymbolicUtils v4.24.2 [0c5d862f] + Symbolics v7.19.0 [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 v8.19.0+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 v2026.3.19 [4536629a] + OpenBLAS_jll v0.3.30+0 [05823500] + OpenLibm_jll v0.8.7+0 [458c3c95] + OpenSSL_jll v3.5.6+0 [efcefdf7] + PCRE2_jll v10.47.0+0 [bea87d4a] + SuiteSparse_jll v7.10.1+0 [83775a58] + Zlib_jll v1.3.2+0 [3161d3a3] + Zstd_jll v1.5.7+1 [8e850b90] + libblastrampoline_jll v5.15.0+0 [8e850ede] + nghttp2_jll v1.69.0+0 [3f19e933] + p7zip_jll v17.8.0+0 Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m` Installation completed after 12.59s ################################################################################ # Precompilation # Precompiling PkgEval dependencies... Precompiling project... 4.4 s ✓ TestEnv 1 dependency successfully precompiled in 5 seconds. 27 already precompiled. Precompiling package dependencies... Precompiling project... 3.8 s ✓ MacroTools 0.7 s ✓ Reexport 1.0 s ✓ Statistics 0.8 s ✓ SciMLPublic 1.1 s ✓ ConstructionBase 3.3 s ✓ ExproniconLite 1.9 s ✓ IrrationalConstants 0.8 s ✓ CommonWorldInvalidations 0.9 s ✓ StaticArraysCore 1.0 s ✓ Elliptic 1.3 s ✓ OrderedCollections 0.9 s ✓ CompositeTypes 0.9 s ✓ InverseFunctions 0.8 s ✓ ReadOnlyArrays 0.8 s ✓ WeakCacheSets 1.4 s ✓ ADTypes 0.8 s ✓ CompositionsBase 1.1 s ✓ DocStringExtensions 1.1 s ✓ AbstractTrees 1.1 s ✓ IntervalSets 0.8 s ✓ Indexing 2.0 s ✓ Combinatorics 0.8 s ✓ EnumX 1.1 s ✓ Inflate 1.0 s ✓ Bijections 0.8 s ✓ TermInterface 0.8 s ✓ IntegerMathUtils 1.0 s ✓ PolyLog 0.9 s ✓ ExprTools 0.8 s ✓ TaskLocalValues 1.2 s ✓ Requires 1.0 s ✓ NaNMath 4.4 s ✓ RandomExtensions 1.5 s ✓ Preferences 11.7 s ✓ MutableArithmetics 4.5 s ✓ AbstractPlutoDingetjes 3.2 s ✓ SimpleTraits 1.4 s ✓ Statistics → SparseArraysExt 0.9 s ✓ ConstructionBase → ConstructionBaseLinearAlgebraExt 3.1 s ✓ Jieko 3.6 s ✓ DataStructures 1.7 s ✓ InverseFunctions → InverseFunctionsTestExt 1.2 s ✓ InverseFunctions → InverseFunctionsDatesExt 0.7 s ✓ ADTypes → ADTypesConstructionBaseExt 0.8 s ✓ CompositionsBase → CompositionsBaseInverseFunctionsExt 1.3 s ✓ LogExpFunctions 0.7 s ✓ IntervalSets → IntervalSetsStatisticsExt 0.8 s ✓ IntervalSets → IntervalSetsRandomExt 0.7 s ✓ ConstructionBase → ConstructionBaseIntervalSetsExt 2.1 s ✓ Dictionaries 1.1 s ✓ Primes 0.9 s ✓ RuntimeGeneratedFunctions 0.9 s ✓ Adapt 1.4 s ✓ JLLWrappers 1.1 s ✓ PrecompileTools 5.1 s ✓ StarAlgebras 3.0 s ✓ Setfield 17.8 s ✓ Moshi 5.6 s ✓ Accessors 0.8 s ✓ LogExpFunctions → LogExpFunctionsInverseFunctionsExt 1.1 s ✓ ArrayInterface 1.3 s ✓ Adapt → AdaptSparseArraysExt 2.3 s ✓ OpenBLAS32_jll 2.3 s ✓ OpenSpecFun_jll 3.5 s ✓ RecipesBase 13.6 s ✓ StaticArrays 97.8 s ✓ AbstractAlgebra 4.7 s ✓ MultivariatePolynomials 2.8 s ✓ Accessors → LinearAlgebraExt 2.7 s ✓ Accessors → IntervalSetsExt 2.2 s ✓ Accessors → TestExt 0.8 s ✓ ArrayInterface → ArrayInterfaceStaticArraysCoreExt 1.3 s ✓ ArrayInterface → ArrayInterfaceSparseArraysExt 2.2 s ✓ FLINT_jll 5.2 s ✓ SpecialFunctions 1.7 s ✓ IntervalSets → IntervalSetsRecipesBaseExt 1.7 s ✓ StaticArrays → StaticArraysStatisticsExt 3.9 s ✓ ArnoldiMethod 1.7 s ✓ ConstructionBase → ConstructionBaseStaticArraysExt 2.9 s ✓ FunctionMaps 1.7 s ✓ Adapt → AdaptStaticArraysExt 1.9 s ✓ Accessors → StaticArraysExt 7.5 s ✓ AbstractAlgebra → TestExt 4.7 s ✓ DynamicPolynomials 4.0 s ✓ SymbolicIndexingInterface 34.1 s ✓ Nemo 2.6 s ✓ HypergeometricFunctions 1.4 s ✓ FresnelIntegrals 1.3 s ✓ DiffRules 10.2 s ✓ Graphs 3.8 s ✓ DomainSets 175.9 s ✓ SymbolicUtils 2.1 s ✓ DomainSets → DomainSetsRandomExt 11.0 s ✓ SymbolicLimits 171.7 s ✓ Symbolics 28.9 s ✓ Symbolics → SymbolicsHypergeometricFunctionsExt 29.1 s ✓ 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 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842.38s ################################################################################ # Testing # Testing SymbolicIntegration Status `/tmp/jl_6nmQ4j/Project.toml` [c3fe647b] AbstractAlgebra v0.48.5 ⌅ [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 v2.6.2 [315ce56f] SymbolicIntegration v3.5.0 [d1185830] SymbolicUtils v4.24.2 [0c5d862f] Symbolics v7.19.0 [ade2ca70] Dates v1.11.0 [56ddb016] Logging v1.11.0 [44cfe95a] Pkg v1.14.0 [8dfed614] Test v1.11.0 Status `/tmp/jl_6nmQ4j/Manifest.toml` [47edcb42] ADTypes v1.21.0 [c3fe647b] AbstractAlgebra v0.48.5 [6e696c72] AbstractPlutoDingetjes v1.3.2 [1520ce14] AbstractTrees v0.4.5 [7d9f7c33] Accessors v0.1.44 [79e6a3ab] Adapt v4.5.2 [ec485272] ArnoldiMethod v0.4.0 [4fba245c] ArrayInterface v7.24.0 [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 v0.19.4 [85a47980] Dictionaries v0.4.6 [b552c78f] DiffRules v1.15.1 [ffbed154] DocStringExtensions v0.9.5 [5b8099bc] DomainSets v0.8.0 [7c1d4256] DynamicPolynomials v0.6.6 [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 [a85aefff] FunctionMaps v0.1.2 [86223c79] Graphs v1.14.0 [34004b35] HypergeometricFunctions v0.3.28 [313cdc1a] Indexing v1.1.1 [d25df0c9] Inflate v0.1.5 [18e54dd8] IntegerMathUtils v0.1.3 [8197267c] IntervalSets v0.7.14 [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 v0.5.19 [d8a4904e] MutableArithmetics v1.7.1 [77ba4419] NaNMath v1.1.3 [2edaba10] Nemo v0.54.1 [bac558e1] OrderedCollections v1.8.1 [85e3b03c] PolyLog v2.6.2 [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 v0.5.18 [431bcebd] SciMLPublic v1.0.1 [efcf1570] Setfield v1.1.2 [699a6c99] SimpleTraits v0.9.5 [276daf66] SpecialFunctions v2.7.2 [0c0c59c1] StarAlgebras v0.3.0 [90137ffa] StaticArrays v1.9.18 [1e83bf80] StaticArraysCore v1.4.4 [10745b16] Statistics v1.11.1 [2efcf032] SymbolicIndexingInterface v0.3.46 [315ce56f] SymbolicIntegration v3.5.0 [19f23fe9] SymbolicLimits v1.1.0 [d1185830] SymbolicUtils v4.24.2 [0c5d862f] Symbolics v7.19.0 [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] 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MozillaCACerts_jll v2026.3.19 [4536629a] OpenBLAS_jll v0.3.30+0 [05823500] OpenLibm_jll v0.8.7+0 [458c3c95] OpenSSL_jll v3.5.6+0 [efcefdf7] PCRE2_jll v10.47.0+0 [bea87d4a] SuiteSparse_jll v7.10.1+0 [83775a58] Zlib_jll v1.3.2+0 [3161d3a3] Zstd_jll v1.5.7+1 [8e850b90] libblastrampoline_jll v5.15.0+0 [8e850ede] nghttp2_jll v1.69.0+0 [3f19e933] p7zip_jll v17.8.0+0 Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. Testing Running tests... ========Test results of ================================================= _____ _ _ _ ,______. / ___| | | | (_) by / Mattia \ \ `--. _ _ _ __ ___ | |__ ___ | |_ ___ (Micheletta) `--. \ | | | '_ ` _ \| '_ \ / _ \| | |/ __| \ Merlin / /\__/ / |_| | | | | | | |_) | (_) | | | (__ '‾‾‾‾‾‾° \____/ \__, |_| |_| |_|____/ \___/|_|_|\___| __/ | _____ _ _ _ _ _ |___/ |_ _| | | | | (_) (_) | | | _ __ | |_ ___ __ _ _ __ __ _| |_ _ ___ _ __ _| | | || '_ \| __/ _ \/ _` | '__/ _` | __| |/ _ \| '_ \ | | | _| || | | | || __/ (_| | | | (_| | |_| | (_) | | | |_| | | \___/_| |_|\__\___|\__, |_| \__,_|\__|_|\___/|_| |_(_) |_| __/ | _/ | |___/ |__/ Date: 2026-04-24 01:19:39 Package Version: nothing Julia Version: 1.14.0-DEV.2071 Computer: SymbolicIntegration-primary-k25zgAUn 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 (0.9543s) [ ok ]∫( 2x )dx = x^2 (0.0006s) [ ok ]∫( 1 / (1 + x^2) )dx = atan(x) (3.9168s) [ ok ]∫( 1 / (1 + x^2) )dx = atan(x) (0.0011s) [ ok ]∫( sin(x) )dx = -cos(x) (0.038s) [ fail ]∫( sin(x) )dx = -cos(x) but got: ∫(sin(x), x) (1.8358s) RuleBasedMethod: 3 tests succeeded, 0 failed, 0 maybe failed, 0 errored, out of 3 tests of test_files/easy.jl Total=4.909s, Avg=1.6364s, Min=0.038s, Max=3.9168s RischMethod: 2 tests succeeded, 1 failed, 0 maybe failed, 0 errored, out of 3 tests of test_files/easy.jl Total=1.837s, Avg=0.6125s, Min=0.0006s, Max=1.8358s 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)) (1.1308s) [ fail ]∫( sqrt(1 + 2x) )dx = (1//3)*((1 + 2x)^(3//2)) but got: ∫(sqrt(1 + 2x), x) (0.0003s) [ ok ]∫( x*sqrt(1 + 3x) )dx = -(2//27)*((1 + 3x)^(3//2)) + (2//45)*((1 + 3x)^(5//2)) (11.0743s) [ 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) [ ok ]∫( (x^2)*sqrt(1 + x) )dx = (2//3)*((1 + x)^(3//2)) - (4//5)*((1 + x)^(5//2)) + (2//7)*((1 + x)^(7//2)) (2.224s) [ 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) (0.0004s) [ ok ]∫( x / sqrt(2 - 3x) )dx = -(4//9)*sqrt(2 - 3x) + (2//27)*((2 - 3x)^(3//2)) (1.5762s) [ fail ]∫( x / sqrt(2 - 3x) )dx = -(4//9)*sqrt(2 - 3x) + (2//27)*((2 - 3x)^(3//2)) but got: ∫(x / sqrt(2 - 3x), x) (0.0003s) [ ok ]∫( (1 + x) / ((2 + 2x + x^2)^3) )dx = -1 / (4((2 + 2x + x^2)^2)) (0.2077s) [ ok ]∫( (1 + x) / ((2 + 2x + x^2)^3) )dx = -1 / (4((2 + 2x + x^2)^2)) (0.0862s) [ ok ]∫( sin(x)^3 )dx = -cos(x) + (cos(x)^3) / 3 (3.1466s) [ fail ]∫( sin(x)^3 )dx = -cos(x) + (cos(x)^3) / 3 but got: ∫(sin(x)^3, x) (0.0015s) [ ok ]∫( ((-1 + z)^(1//3))*z )dz = (3//4)*((-1 + z)^(4//3)) + (3//7)*((-1 + z)^(7//3)) (0.4732s) [ 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) (0.0822s) [ fail?]∫( cos(x) / (sin(x)^3) )dx = (-1//2)*(csc(x)^2) but got: (cos(x)^2) / (-2(sin(x)^2)) (0.2539s) [ fail ]∫( cos(x) / (sin(x)^3) )dx = (-1//2)*(csc(x)^2) but got: ∫(cos(x) / (sin(x)^3), x) (0.0019s) [ ok ]∫( sqrt(4 - sin(2x))*cos(2x) )dx = (-1//3)*((4 - sin(2x))^(3//2)) (0.4546s) [ fail ]∫( sqrt(4 - sin(2x))*cos(2x) )dx = (-1//3)*((4 - sin(2x))^(3//2)) but got: ∫(sqrt(4 - sin(2x))*cos(2x), x) (0.0003s) [ fail ]∫( sin(x) / ((3 + cos(x))^2) )dx = 1 / (3 + cos(x)) but got: ∫(sin(x) / (9 + 6cos(x) + cos(x)^2), x) (4.0593s) [ fail ]∫( sin(x) / ((3 + cos(x))^2) )dx = 1 / (3 + cos(x)) but got: ∫(sin(x) / ((3 + cos(x))^2), x) (0.0007s) [ fail ]∫( sin(x) / sqrt(cos(x)^3) )dx = (2cos(x)) / sqrt(cos(x)^3) but got: ∫(sin(x) / sqrt(cos(x)^3), x) (0.4413s) [ 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)) (0.2403s) [ 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) (1.6169s) [ fail ]∫( (x^(-1 + n))*sin(x^n) )dx = (-cos(x^n)) / n but got: ∫((x^(-1 + n))*sin(x^n), x) (0.0016s) [ ok ]∫( (x^5) / sqrt(1 - (x^6)) )dx = (-1//3)*sqrt(1 - (x^6)) (0.0701s) [ 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)) (1.006s) [ 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) (0.0643s) [ fail ]∫( 1 / ((1 + x^2)^(3//2)) )dx = x / sqrt(1 + x^2) but got: ∫(1 / ((1 + x^2)^(3//2)), x) (0.0002s) [ ok ]∫( ((27 + 8(x^3))^(2//3))*(x^2) )dx = (1//40)*((27 + 8(x^3))^(5//3)) (0.3028s) [ 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 ]∫( (cos(x) + sin(x)) / ((-cos(x) + sin(x))^(1//3)) )dx = (3//2)*((-cos(x) + sin(x))^(2//3)) (0.8839s) [ fail ]∫( (cos(x) + sin(x)) / ((-cos(x) + sin(x))^(1//3)) )dx = (3//2)*((-cos(x) + sin(x))^(2//3)) but got: ∫((cos(x) + sin(x)) / ((-cos(x) + sin(x))^(1//3)), x) (0.0026s) [ 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) (0.0687s) [ 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) (0.0002s) 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) (11.2615s) [ 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)) (0.0864s) [ 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) (0.3245s) [ fail ]∫( x*sin(x) )dx = sin(x) - x*cos(x) but got: ∫(x*sin(x), x) (0.0007s) [ 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) (0.6415s) [ fail ]∫( (x^2)*sin(x) )dx = 2cos(x) + 2x*sin(x) - (x^2)*cos(x) but got: ∫((x^2)*sin(x), x) (0.0006s) [ 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) (0.9765s) [ 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) (0.0008s) [ 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) (0.9661s) [ 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 ]∫( cos(x)*sin(x) )dx = (sin(x)^2) / 2 (0.3443s) [ fail ]∫( cos(x)*sin(x) )dx = (sin(x)^2) / 2 but got: ∫(cos(x)*sin(x), x) (0.0008s) [ ok ]∫( x*cos(x)*sin(x) )dx = -(1//4)*x + (1//4)*cos(x)*sin(x) + (1//2)*x*(sin(x)^2) (1.7149s) [ fail ]∫( x*cos(x)*sin(x) )dx = -(1//4)*x + (1//4)*cos(x)*sin(x) + (1//2)*x*(sin(x)^2) but got: ∫(x*cos(x)*sin(x), x) (0.0008s) [ ok ]∫( sin(x)^2 )dx = x / 2 - (1//2)*cos(x)*sin(x) (0.014s) [ fail ]∫( sin(x)^2 )dx = x / 2 - (1//2)*cos(x)*sin(x) but got: ∫(sin(x)^2, x) (0.0006s) [ ok ]∫( sin(x)^3 )dx = -cos(x) + (cos(x)^3) / 3 (0.7803s) [ fail ]∫( sin(x)^3 )dx = -cos(x) + (cos(x)^3) / 3 but got: ∫(sin(x)^3, x) (0.0006s) [ ok ]∫( sin(x)^4 )dx = (3//8)*x - (3//8)*cos(x)*sin(x) - (1//4)*cos(x)*(sin(x)^3) (0.0273s) [ fail ]∫( sin(x)^4 )dx = (3//8)*x - (3//8)*cos(x)*sin(x) - (1//4)*cos(x)*(sin(x)^3) 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) (0.8436s) [ fail ]∫( sin(x)^5 )dx = -cos(x) + (2//3)*(cos(x)^3) - (1//5)*(cos(x)^5) but got: ∫(sin(x)^5, x) (0.0006s) [ ok ]∫( sin(x)^6 )dx = (5//16)*x - (5//16)*cos(x)*sin(x) - (5//24)*cos(x)*(sin(x)^3) - (1//6)*cos(x)*(sin(x)^5) (0.0421s) [ fail ]∫( sin(x)^6 )dx = (5//16)*x - (5//16)*cos(x)*sin(x) - (5//24)*cos(x)*(sin(x)^3) - (1//6)*cos(x)*(sin(x)^5) but got: ∫(sin(x)^6, x) (0.0006s) [ ok ]∫( x*(sin(x)^2) )dx = (x^2) / 4 + (sin(x)^2) / 4 - (1//2)*x*cos(x)*sin(x) (1.8358s) [ fail ]∫( x*(sin(x)^2) )dx = (x^2) / 4 + (sin(x)^2) / 4 - (1//2)*x*cos(x)*sin(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*cos(x)*(sin(x)^2) (0.6499s) [ fail ]∫( x*(sin(x)^3) )dx = (2//3)*sin(x) - (2//3)*x*cos(x) + (sin(x)^3) / 9 - (1//3)*x*cos(x)*(sin(x)^2) but got: ∫(x*(sin(x)^3), x) (0.0006s) [ ok ]∫( (x^2)*(sin(x)^2) )dx = -(1//4)*x + (1//4)*cos(x)*sin(x) + (x^3) / 6 + (1//2)*x*(sin(x)^2) - (1//2)*(x^2)*cos(x)*sin(x) (0.3503s) [ fail ]∫( (x^2)*(sin(x)^2) )dx = -(1//4)*x + (1//4)*cos(x)*sin(x) + (x^3) / 6 + (1//2)*x*(sin(x)^2) - (1//2)*(x^2)*cos(x)*sin(x) but got: ∫((x^2)*(sin(x)^2), x) (0.0007s) [ fail ]∫( cos(x)^2 )dx = x / 2 + (1//2)*cos(x)*sin(x) but got: ∫(cos(x)^2, x) (1.1285s) [ fail ]∫( cos(x)^2 )dx = x / 2 + (1//2)*cos(x)*sin(x) but got: ∫(cos(x)^2, x) (0.0008s) [ fail ]∫( cos(x)^3 )dx = sin(x) - (1//3)*(sin(x)^3) but got: ∫(cos(x)^3, x) (0.0196s) [ 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)*cos(x)*sin(x) + (1//4)*(cos(x)^3)*sin(x) but got: ∫(cos(x)^4, x) (0.0187s) [ fail ]∫( cos(x)^4 )dx = (3//8)*x + (3//8)*cos(x)*sin(x) + (1//4)*(cos(x)^3)*sin(x) 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))) (1.4628s) [ 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) (0.0003s) [ 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)) (0.785s) [ 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)*Elliptic.F(asin((-1.1620582220290054 + t) / (4.336860325965405 + t)), -13.928203230275509)*sqrt((2.5198420997897464 - 1.5874010519681994t + t^2) / ((4.336860325965405 + t)^2))) / (6.580370064762462sqrt(4 + t^3)*sqrt((1.5874010519681994 + t) / ((4.336860325965405 + t)^2))) + (2//5)*t*sqrt(4 + t^3) but got: (-6.181925288250038(1 + 0.6299605249474366t)*sqrt((1 - 0.6299605249474366t + 0.3968502629920499(t^2)) / ((2.732050807568877 + 0.6299605249474366t)^2))*Elliptic.F(asin((-0.7320508075688772 + 0.6299605249474366t) / (2.732050807568877 + 0.6299605249474366t)), -13.928203230275509)) / (0.8290746760692316sqrt(4 + t^3)*sqrt((1 + 0.6299605249474366t) / ((2.732050807568877 + 0.6299605249474366t)^2))) + (2//5)*t*((4 + t^3)^(1//2)) (0.8506s) [ fail ]∫( (t^3) / ((4 + t^3)^(1//2)) )dt = (-24.53298676439231(1.5874010519681994 + t)*Elliptic.F(asin((-1.1620582220290054 + t) / (4.336860325965405 + t)), -13.928203230275509)*sqrt((2.5198420997897464 - 1.5874010519681994t + t^2) / ((4.336860325965405 + t)^2))) / (6.580370064762462sqrt(4 + t^3)*sqrt((1.5874010519681994 + t) / ((4.336860325965405 + t)^2))) + (2//5)*t*sqrt(4 + t^3) but got: ∫((t^3) / ((4 + t^3)^(1//2)), t) (0.0005s) [ ok ]∫( tan(x)^2 )dx = -x + tan(x) (0.0466s) [ fail ]∫( tan(x)^2 )dx = -x + tan(x) but got: ∫(tan(x)^2, x) (0.0002s) [ ok ]∫( tan(x)^4 )dx = x - tan(x) + (tan(x)^3) / 3 (0.0282s) [ fail ]∫( tan(x)^4 )dx = x - tan(x) + (tan(x)^3) / 3 but got: ∫(tan(x)^4, x) (0.0002s) [ fail ]∫( cot(x)^2 )dx = -x - cot(x) but got: ∫(cot(x)^2, x) (0.0168s) [ 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) (0.0166s) [ 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) (0.3422s) [ fail ]∫( (2 + 3x)*sin(5x) )dx = (3//25)*sin(5x) - (1//5)*(2 + 3x)*cos(5x) but got: ∫((2 + 3x)*sin(5x), x) (0.0007s) [ ok ]∫( x*sqrt(1 + x^2) )dx = (1//3)*((1 + x^2)^(3//2)) (0.3025s) [ fail ]∫( x*sqrt(1 + x^2) )dx = (1//3)*((1 + x^2)^(3//2)) but got: ∫(x*sqrt(1 + x^2), x) (0.0002s) [ ok ]∫( x*((-1 + x^2)^9) )dx = (1//20)*((1 - (x^2))^10) (0.3076s) [ 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) (0.0019s) [ 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) (0.0425s) [ ok ]∫( (x^4)*((1 + x^5)^5) )dx = (1//30)*((1 + x^5)^6) (0.35s) [ 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) (0.002s) [ 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) (2.4842s) [ 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) (0.0023s) [ ok ]∫( sin(1 / x) / (x^2) )dx = cos(1 / x) (0.1482s) [ fail ]∫( sin(1 / x) / (x^2) )dx = cos(1 / x) but got: ∫(sin(1 / x) / (x^2), x) (0.0092s) [ 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))) (1.014s) [ 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) (0.0008s) [ ok ]∫( x*cos(x^2)*sin(x^2) )dx = (1//4)*(sin(x^2)^2) (0.345s) [ fail ]∫( x*cos(x^2)*sin(x^2) )dx = (1//4)*(sin(x^2)^2) but got: ∫(x*cos(x^2)*sin(x^2), x) (0.0009s) [ fail ]∫( sin(2x)*sqrt(1 + 3(cos(x)^2)) )dx = (-2//9)*((4 - 3(sin(x)^2))^(3//2)) but got: ∫(sin(2x)*sqrt(1 + 3(cos(x)^2)), x) (0.4164s) [ fail ]∫( sin(2x)*sqrt(1 + 3(cos(x)^2)) )dx = (-2//9)*((4 - 3(sin(x)^2))^(3//2)) but got: ∫(sin(2x)*sqrt(1 + 3(cos(x)^2)), x) (0.0003s) [ ok ]∫( 1 / (2 + 3x) )dx = (1//3)*log(2 + 3x) (0.0032s) [ fail?]∫( 1 / (2 + 3x) )dx = (1//3)*log(2 + 3x) but got: (1//3)*log((2//3) + x) (0.0009s) [ ok ]∫( log(x)^2 )dx = 2x - 2x*log(x) + x*(log(x)^2) (0.0298s) [ 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) (0.4009s) [ 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) (0.6855s) [ 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) (0.0034s) [ ok ]∫( 1 / (1 + t) )dt = log(1 + t) (0.0008s) [ 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))) / ((1 + n)^2) + (log(a*x)*(x^(1 + n))) / (1 + n) (0.6844s) [ fail ]∫( (x^n)*log(a*x) )dx = (-(x^(1 + n))) / ((1 + n)^2) + (log(a*x)*(x^(1 + n))) / (1 + n) 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) (0.7024s) [ 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) (0.0004s) [ ok ]∫( 1 / (x*log(x)) )dx = log(log(x)) (0.1594s) [ 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) (0.1309s) [ 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 / x, "coeff on fractions is not yet implemented.") Error in ext_coeff: DomainError(1 / 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) (2.0428s) [ 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) (1.031s) [ 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) (0.0003s) [ ok ]∫( (x^2)*exp(x^3) )dx = exp(x^3) / 3 (0.5398s) [ 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 (0.7379s) [ fail ]∫( (2^sqrt(x)) / sqrt(x) )dx = (2^(1 + sqrt(x))) / 0.6931471805599453 but got: ∫((2^sqrt(x)) / sqrt(x), x) (0.0794s) [ fail ]∫( cos(x)*exp(2sin(x)) )dx = (1//2)*exp(2sin(x)) but got: ∫(cos(x)*exp(2sin(x)), x) (0.3199s) [ fail ]∫( cos(x)*exp(2sin(x)) )dx = (1//2)*exp(2sin(x)) but got: ∫(cos(x)*exp(2sin(x)), x) (0.0008s) [ ok ]∫( sin(x)*exp(x) )dx = -(1//2)*cos(x)*exp(x) + (1//2)*sin(x)*exp(x) (0.4142s) [ fail ]∫( sin(x)*exp(x) )dx = -(1//2)*cos(x)*exp(x) + (1//2)*sin(x)*exp(x) but got: ∫(sin(x)*exp(x), x) (0.0007s) [ ok ]∫( cos(x)*exp(x) )dx = (1//2)*cos(x)*exp(x) + (1//2)*sin(x)*exp(x) (0.3635s) [ fail ]∫( cos(x)*exp(x) )dx = (1//2)*cos(x)*exp(x) + (1//2)*sin(x)*exp(x) but got: ∫(cos(x)*exp(x), x) (0.001s) [ fail ]∫( 1 / (1 + exp(x)) )dx = x - log(1 + exp(x)) but got: ∫(1 / (1 + exp(x)), x) (0.1033s) [ fail ]∫( 1 / (1 + exp(x)) )dx = x - log(1 + exp(x)) but got: ∫(1 / (1 + exp(x)), x) (0.0004s) [ ok ]∫( x*exp(x) )dx = -exp(x) + x*exp(x) (0.3481s) [ fail ]∫( x*exp(x) )dx = -exp(x) + x*exp(x) but got: ∫(x*exp(x), x) (0.0002s) [ fail?]∫( x*exp(-x) )dx = -exp(-x) + (-x) / exp(x) but got: -(ℯ^(-x)) - x*(ℯ^(-x)) (0.6854s) [ fail ]∫( x*exp(-x) )dx = -exp(-x) + (-x) / exp(x) but got: ∫(x*exp(-x), x) (0.0004s) [ ok ]∫( (x^2)*exp(x) )dx = 2exp(x) - 2x*exp(x) + (x^2)*exp(x) (0.6514s) [ 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) / exp(2x) + ((-1//2)*(x^2)) / exp(2x) + (-1//4) / exp(2x) but got: -(1//4)*(ℯ^(-2x)) - (1//2)*x*(ℯ^(-2x)) - (1//2)*(x^2)*(ℯ^(-2x)) (0.6488s) [ fail ]∫( (x^2)*exp(-2x) )dx = ((-1//2)*x) / exp(2x) + ((-1//2)*(x^2)) / 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)) (0.3521s) [ fail ]∫( exp(sqrt(x)) )dx = -2exp(sqrt(x)) + 2sqrt(x)*exp(sqrt(x)) but got: ∫(exp(sqrt(x)), x) (0.0003s) [ 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))) (0.7286s) [ 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) (3.2705s) [ 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) (0.0009s) [ ok ]∫( sin(b*x)*exp(a*x) )dx = (-b*cos(b*x)*exp(a*x)) / (a^2 + b^2) + (a*sin(b*x)*exp(a*x)) / (a^2 + b^2) (0.3675s) [ fail ]∫( sin(b*x)*exp(a*x) )dx = (-b*cos(b*x)*exp(a*x)) / (a^2 + b^2) + (a*sin(b*x)*exp(a*x)) / (a^2 + b^2) but got: ∫(sin(b*x)*exp(a*x), x) (0.0007s) [ ok ]∫( acot(x) )dx = (1//2)*log(1 + x^2) + x*acot(x) (0.0516s) [ 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) (0.0115s) [ 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) (0.0118s) [ 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 + 2sqrt(1 - (x^2))*asin(x) + x*(asin(x)^2) but got: -2∫((x*asin(x)) / sqrt(1 - (x^2)), x) + x*(asin(x)^2) (0.1475s) [ fail ]∫( asin(x)^2 )dx = -2x + 2sqrt(1 - (x^2))*asin(x) + 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))) (0.2658s) [ 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))) (0.0236s) [ 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)) (0.1617s) [ 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) (0.1668s) [ 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(b)*sqrt(a)) but got: (sqrt(a / b)*atan(x / sqrt(a / b))) / a (0.1907s) [ fail ]∫( 1 / (a + b*(x^2)) )dx = atan((x*sqrt(b)) / sqrt(a)) / (sqrt(b)*sqrt(a)) 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) (0.0547s) [ fail?]∫( 1 / (2 - x + x^2) )dx = -0.7559289460184544atan((1 - 2x) / 2.6457513110645907) but got: 0.7559289460184544544290330724683601216315026237378429086766669883431625209229337atan(-0.3779644730092272272145165362341800608157513118689214543383334941715812604614669 + 0.7559289460184544544290330724683601216315026237378429086766669883431625209229337x) (0.0021s) [ ok ]∫( x*atan(x) )dx = -(1//2)*x + atan(x) / 2 + (1//2)*(x^2)*atan(x) (0.5904s) [ 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) (1.2025s) [ 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) (0.8499s) [ 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) (0.0003s) [ ok ]∫( atan(sqrt(x)) )dx = atan(sqrt(x)) - sqrt(x) + x*atan(sqrt(x)) (0.1906s) [ 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 / sqrt(x), "coeff on fractions is not yet implemented.") Error in ext_coeff: DomainError(1 / sqrt(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)) / ((x^(1//2))*(1 + x)), x) (1.8017s) [ fail ]∫( atan(sqrt(x)) / ((1 + x)*sqrt(x)) )dx = atan(sqrt(x))^2 but got: ∫(atan(sqrt(x)) / ((1 + x)*sqrt(x)), x) (0.0003s) [ ok ]∫( sqrt(1 - (x^2)) )dx = asin(x) / 2 + (1//2)*x*sqrt(1 - (x^2)) (0.0211s) [ 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) [ 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) (0.3535s) [ 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) (1.2324s) [ 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) (0.0003s) [ ok ]∫( (x^2) / ((1 + x^2)^2) )dx = (-x) / (2(1 + x^2)) + atan(x) / 2 (0.062s) [ ok ]∫( (x^2) / ((1 + x^2)^2) )dx = (-x) / (2(1 + x^2)) + atan(x) / 2 (0.0017s) [ ok ]∫( exp(x) / (1 + exp(2x)) )dx = atan(exp(x)) (0.4875s) [ fail ]∫( exp(x) / (1 + exp(2x)) )dx = atan(exp(x)) but got: ∫(exp(x) / (1 + exp(2x)), x) (0.0002s) [ fail ]∫( acot(exp(x)) / exp(x) )dx = -x + (1//2)*log(1 + exp(2x)) + (-acot(exp(x))) / exp(x) but got: ∫(acot(exp(x)) / exp(x), x) (0.0807s) [ fail ]∫( acot(exp(x)) / exp(x) )dx = -x + (1//2)*log(1 + exp(2x)) + (-acot(exp(x))) / exp(x) but got: ∫(acot(exp(x)) / exp(x), x) (0.0003s) [ fail ]∫( ((a + x) / (a - x))^(1//2) )dx = -(a - x)*sqrt((a + x) / (a - x)) + 2a*atan(sqrt((a + x) / (a - x))) but got: ∫(sqrt((a + x) / (a - x)), x) (0.3504s) [ fail ]∫( ((a + x) / (a - x))^(1//2) )dx = -(a - x)*sqrt((a + x) / (a - x)) + 2a*atan(sqrt((a + x) / (a - x))) but got: ∫(((a + x) / (a - x))^(1//2), x) (0.0003s) [ 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) (0.1613s) [ 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)))) (0.1223s) [ 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 = 3log(3 + x) + 2log(1 - x) but got: 3.0log(3.0 + x) + 2.0log(-1.0 + x) (0.2029s) [ ok ]∫( (3 + 5x) / (-3 + 2x + x^2) )dx = 3log(3 + x) + 2log(1 - x) (0.001s) [ fail?]∫( (5 + 2x) / (-3 + 2x + x^2) )dx = (1//4)*log(3 + x) + (7//4)*log(1 - x) but got: 0.25log(3.0 + x) + 1.75log(-1.0 + x) (0.0284s) [ ok ]∫( (5 + 2x) / (-3 + 2x + x^2) )dx = (1//4)*log(3 + x) + (7//4)*log(1 - x) (0.0011s) [ 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) (0.4972s) [ ok ]∫( (3x + x^3) / (-3 - 2x + x^2) )dx = 2x + log(1 + x) + 9log(3 - x) + (x^2) / 2 (0.0012s) [ fail ]∫( (-1 + 5x + 2(x^2)) / (-2x + x^2 + x^3) )dx = log(x) / 2 - (1//2)*log(2 + x) + 2log(1 - x) but got: ∫((-1 + 5x + 2(x^2)) / (-2x + x^2 + x^3), x) (7.6642s) [ ok ]∫( (-1 + 5x + 2(x^2)) / (-2x + x^2 + x^3) )dx = log(x) / 2 - (1//2)*log(2 + x) + 2log(1 - x) (0.0016s) [ fail ]∫( (3 + 2x + x^2) / ((-1 + x)*((1 + x)^2)) )dx = -(1//2)*log(1 + x) + (3//2)*log(1 - x) + 1 / (1 + x) but got: ∫((3 + 2x + x^2) / (-1 - x + x^2 + x^3), x) (0.343s) [ ok ]∫( (3 + 2x + x^2) / ((-1 + x)*((1 + x)^2)) )dx = -(1//2)*log(1 + x) + (3//2)*log(1 - x) + 1 / (1 + x) (0.0013s) [ fail?]∫( (-2 + 2x + 3(x^2)) / (-1 + x^3) )dx = 2.3094010767585034atan((1 + 2x) / 1.7320508075688772) + log(1 - (x^3)) but got: 2.3094010767585034atan((4 + 8x) / 6.928203230275509) + log(-1 + x^3) (0.9353s) [ fail?]∫( (-2 + 2x + 3(x^2)) / (-1 + x^3) )dx = 2.3094010767585034atan((1 + 2x) / 1.7320508075688772) + log(1 - (x^3)) but got: log(1 + x + x^2) + 2.30940107675850305803659512200782982259040700508050750407440930593591068921173atan(0.5773502691896257645091487805019574556476017512701268760186023264839776723029325 + 1.154700538379251529018297561003914911295203502540253752037204652967955344605865x) + log(1 - x) (0.0025s) 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 ]∫( (2 - x + 2(x^2) - (x^3) + x^4) / ((-1 + x)*((2 + x^2)^2)) )dx = -0.2357022603955158atan(x / 1.4142135623730951) + (1//3)*log(2 + x^2) + (1//3)*log(1 - x) + 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) (0.6046s) [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_2523129003146820179, 1.8856180831641264905584876032662577927112579345703125x_6187744724991477480atan_2523129003146820179, 0.4714045207910316x_6187744724991477480²atan_2523129003146820179],), 0x000000000000a111) [ ok ]∫( 1 / (cos(x) + sin(x)) )dx = -0.7071067811865475atanh((cos(x) - sin(x)) / 1.4142135623730951) (0.0771s) [ fail ]∫( 1 / (cos(x) + sin(x)) )dx = -0.7071067811865475atanh((cos(x) - sin(x)) / 1.4142135623730951) but got: ∫(1 / (cos(x) + sin(x)), x) (0.0075s) [ 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) (0.0744s) [ 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) (0.0104s) [ fail?]∫( (3 + 2x) / ((-2 + x)*(5 + x)) )dx = log(2 - x) + log(5 + x) but got: log(-10 + 3x + x^2) (0.1192s) [ fail?]∫( (3 + 2x) / ((-2 + x)*(5 + x)) )dx = log(2 - x) + log(5 + x) but got: log(10 - 3x - (x^2)) (0.0011s) [ fail ]∫( x / ((2 + x)*(1 + x)*(3 + x)) )dx = -(1//2)*log(1 + x) + 2log(2 + x) - (3//2)*log(3 + x) but got: ∫(x / (6 + 11x + 6(x^2) + x^3), x) (1.572s) [ ok ]∫( x / ((2 + x)*(1 + x)*(3 + x)) )dx = -(1//2)*log(1 + x) + 2log(2 + 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) (0.0736s) [ ok ]∫( x / (2 - 3x + x^3) )dx = -(2//9)*log(2 + x) + (2//9)*log(1 - x) + 1 / (3(1 - x)) (0.0011s) [ fail ]∫( (-6 + 2x + x^4) / (-2x + x^2 + x^3) )dx = -x + 3log(x) + log(2 + x) - log(1 - x) + (x^2) / 2 but got: ∫((-6 + 2x + x^4) / (-2x + x^2 + x^3), x) (0.1009s) [ ok ]∫( (-6 + 2x + x^4) / (-2x + x^2 + x^3) )dx = -x + 3log(x) + log(2 + x) - log(1 - x) + (x^2) / 2 (0.0019s) [ 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) (0.2968s) [ ok ]∫( (7 + 8(x^3)) / ((1 + x)*((1 + 2x)^3)) )dx = log(1 + x) + 3 / (1 + 2x) + -3 / ((1 + 2x)^2) (0.0015s) [ 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) + (4//3)*log(-1 + x^3) + 0.6666666666666666log(1.0 - x) (1.2416s) [ ok ]∫( (1 + x + 4(x^2)) / (-1 + x^3) )dx = log(1 + x + x^2) + 2log(1 - x) (0.0012s) [ fail?]∫( (x^4) / (4 + 5(x^2) + x^4) )dx = x - (8//3)*atan(x / 2) + atan(x) / 3 but got: x - 2.666666666666667atan(x / 2.0) + 0.3333333333333335atan(x) (0.163s) [ fail?]∫( (x^4) / (4 + 5(x^2) + x^4) )dx = x - (8//3)*atan(x / 2) + atan(x) / 3 but got: x + (1//3)*atan(x) + (8//3)*atan((-1//2)*x) (0.002s) [ fail ]∫( (2 + x) / (x + x^2) )dx = 2log(x) - log(1 + x) but got: ∫((2 + x) / (x + x^2), x) (0.4327s) [ ok ]∫( (2 + x) / (x + x^2) )dx = 2log(x) - log(1 + x) (0.0009s) [ fail ]∫( 1 / (x*((1 + x^2)^2)) )dx = log(x) - (1//2)*log(1 + x^2) + 1 / (2(1 + x^2)) but got: (1//2)*substitute_after_int(∫(1 / (x + 2(x^2) + x^3), x), x, x^2) (0.6352s) [ ok ]∫( 1 / (x*((1 + x^2)^2)) )dx = log(x) - (1//2)*log(1 + x^2) + 1 / (2(1 + x^2)) (0.0014s) [ fail ]∫( 1 / ((1 + x)*((2 + x)^2)*((3 + x)^3)) )dx = (1//8)*log(1 + x) + 2log(2 + x) - (17//8)*log(3 + x) + 1 / (2 + x) + 5 / (4(3 + 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) (0.0775s) [ ok ]∫( 1 / ((1 + x)*((2 + x)^2)*((3 + x)^3)) )dx = (1//8)*log(1 + x) + 2log(2 + x) - (17//8)*log(3 + x) + 1 / (2 + x) + 5 / (4(3 + x)) + 1 / (4((3 + x)^2)) (0.0017s) [ ok ]∫( x / ((1 + x)^2) )dx = log(1 + x) + 1 / (1 + x) (0.2477s) [ ok ]∫( x / ((1 + x)^2) )dx = log(1 + x) + 1 / (1 + x) (0.0013s) [ fail ]∫( 1 / (-x + x^3) )dx = -log(x) + (1//2)*log(1 - (x^2)) but got: ∫(1 / (-x + x^3), x) (0.1308s) [ ok ]∫( 1 / (-x + x^3) )dx = -log(x) + (1//2)*log(1 - (x^2)) (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) (0.089s) [ ok ]∫( (x^2) / (-6 + x + x^2) )dx = x + (4//5)*log(2 - x) - (9//5)*log(3 + x) (0.0011s) [ fail?]∫( (2 + x) / (4 - 4x + x^2) )dx = log(2 - x) + 4 / (2 - x) but got: log(-2 + x) + 4 / (2 - x) (0.2376s) [ ok ]∫( (2 + x) / (4 - 4x + x^2) )dx = log(2 - x) + 4 / (2 - x) (0.0009s) [ fail?]∫( 1 / ((5 - 4x + x^2)*(4 - 4x + x^2)) )dx = atan(2 - x) + 1 / (2 - x) but got: -atan((-4 + 2x) / 2.0) + -1 / (-2 + x) (0.1418s) [ ok ]∫( 1 / ((5 - 4x + x^2)*(4 - 4x + x^2)) )dx = atan(2 - x) + 1 / (2 - x) (0.0017s) [ fail ]∫( (-3 + x) / (2x + 3(x^2) + x^3) )dx = -(3//2)*log(x) + 4log(1 + x) - (5//2)*log(2 + x) but got: ∫((-3 + x) / (2x + 3(x^2) + x^3), x) (0.176s) [ ok ]∫( (-3 + x) / (2x + 3(x^2) + x^3) )dx = -(3//2)*log(x) + 4log(1 + x) - (5//2)*log(2 + x) (0.0014s) [ ok ]∫( 1 / ((-1 + x^2)^2) )dx = x / (2(1 - (x^2))) + atanh(x) / 2 (0.0296s) [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//1, -2//1x_6187744724991477480, x_6187744724991477480²],), 0x000000000000a111) [ ok ]∫( (1 + x) / (-1 + x^3) )dx = -(1//3)*log(1 + x + x^2) + (2//3)*log(1 - x) (0.0856s) [ ok ]∫( (1 + x) / (-1 + x^3) )dx = -(1//3)*log(1 + x + x^2) + (2//3)*log(1 - x) (0.0013s) [ 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) (0.4344s) [ ok ]∫( (1 + x^4) / (x*((1 + x^2)^2)) )dx = log(x) + 1 / (1 + x^2) (0.0009s) ====================================================================================== 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 388 running 1 of 1 signal (10): User defined signal 1 eval_value at /source/src/interpreter.c:202:17 do_call at /source/src/interpreter.c:122:19 eval_value at /source/src/interpreter.c:243:16 eval_stmt_value at /source/src/interpreter.c:194:23 [inlined] eval_body at /source/src/interpreter.c:693:13 jl_interpret_toplevel_thunk at /source/src/interpreter.c:884:21 ijl_eval_thunk at /source/src/toplevel.c:768:18 jl_toplevel_eval_flex at /source/src/toplevel.c:712:26 ijl_toplevel_eval at /source/src/toplevel.c:782:12 ijl_toplevel_eval_in at /source/src/toplevel.c:827:13 eval at ./boot.jl:517:3 EvalInto at ./boot.jl:523:4 [inlined] rule3 at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/rule2.jl:427:36 apply_rule at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:24:31 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:85:25 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at 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/home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:114:36 repeated_prewalk at /home/pkgeval/.julia/packages/SymbolicIntegration/LtXZM/src/methods/rule_based/frontend.jl:1 PkgEval terminated after 2710.27s: test log exceeded the size limit