Answered: Find the first five terms of the recursiv... |24HA

Messages Timeline Exceptions Events397 Views14 Route Queries10 Models14 Livewire0 Mails Gate Session Request

8.1.0312ms45MBGET college-homework-library/{category}/{subject}/{id}

Booting (191ms)time
Application (121ms)time
1 x Booting (61.33%)
191ms
1 x Application (38.67%)
121ms

Illuminate\Routing\Events\Routing (1.03ms)
Illuminate\Routing\Events\RouteMatched (419μs)
Illuminate\Foundation\Events\LocaleUpdated (4.1ms)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (182μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (166μs)
Illuminate\Database\Events\ConnectionEstablished (914μs)
Illuminate\Database\Events\StatementPrepared (18.07ms)
Illuminate\Database\Events\QueryExecuted (1.45ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (96μs)
eloquent.booting: App\Models\Subject (56μs)
eloquent.booted: App\Models\Subject (40μs)
Illuminate\Database\Events\StatementPrepared (1.21ms)
Illuminate\Database\Events\QueryExecuted (825μs)
eloquent.retrieved: App\Models\Subject (89μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (108μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (39μs)
Illuminate\Database\Events\StatementPrepared (638μs)
Illuminate\Database\Events\QueryExecuted (4.5ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (185μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (17μs)
eloquent.booting: App\Models\SubjectCat (286μs)
eloquent.booted: App\Models\SubjectCat (43μs)
Illuminate\Database\Events\StatementPrepared (675μs)
Illuminate\Database\Events\QueryExecuted (1.15ms)
eloquent.retrieved: App\Models\SubjectCat (82μs)
Illuminate\Cache\Events\CacheHit (10.57ms)
Illuminate\Cache\Events\CacheMissed (1.43ms)
Illuminate\Database\Events\StatementPrepared (811μs)
Illuminate\Database\Events\QueryExecuted (7.6ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (71μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (14μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (8μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (7μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (7μs)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (5μs)
Illuminate\Database\Events\StatementPrepared (653μs)
Illuminate\Database\Events\QueryExecuted (866μs)
eloquent.retrieved: App\Models\Subject (75μs)
Illuminate\Cache\Events\KeyWritten (996μs)
Illuminate\Database\Events\StatementPrepared (1.52ms)
Illuminate\Database\Events\QueryExecuted (1.42ms)
Illuminate\Database\Events\StatementPrepared (741μs)
Illuminate\Database\Events\QueryExecuted (1.12ms)
Illuminate\Database\Events\StatementPrepared (760μs)
Illuminate\Database\Events\QueryExecuted (1.18ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (76μs)
Illuminate\Cache\Events\CacheHit (830μs)
creating: homework.show (310μs)
composing: homework.show (112μs)
creating: components.breadcrumbs (314μs)
composing: components.breadcrumbs (139μs)
Illuminate\Database\Events\StatementPrepared (1.35ms)
Illuminate\Database\Events\QueryExecuted (996μs)
eloquent.retrieved: App\Models\SubjectCat (77μs)
Illuminate\Cache\Events\CacheHit (2.46ms)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (139μs)
Illuminate\Cache\Events\CacheHit (151μs)
Illuminate\Cache\Events\CacheHit (131μs)
Illuminate\Cache\Events\CacheHit (154μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (180μs)
Illuminate\Cache\Events\CacheHit (135μs)
Illuminate\Cache\Events\CacheHit (146μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (142μs)
Illuminate\Cache\Events\CacheHit (155μs)
Illuminate\Cache\Events\CacheHit (136μs)
Illuminate\Cache\Events\CacheHit (152μs)
Illuminate\Cache\Events\CacheHit (136μs)
Illuminate\Cache\Events\CacheHit (150μs)
Illuminate\Cache\Events\CacheHit (130μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (145μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (144μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (139μs)
Illuminate\Cache\Events\CacheHit (166μs)
Illuminate\Cache\Events\CacheHit (145μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (146μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (145μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (138μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (155μs)
Illuminate\Cache\Events\CacheHit (137μs)
Illuminate\Cache\Events\CacheHit (146μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (150μs)
Illuminate\Cache\Events\CacheHit (130μs)
Illuminate\Cache\Events\CacheHit (145μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (146μs)
Illuminate\Cache\Events\CacheHit (129μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (146μs)
Illuminate\Cache\Events\CacheHit (119μs)
Illuminate\Cache\Events\CacheHit (137μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (131μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (153μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (136μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (135μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (135μs)
Illuminate\Cache\Events\CacheHit (151μs)
Illuminate\Cache\Events\CacheHit (130μs)
Illuminate\Cache\Events\CacheHit (147μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (143μs)
Illuminate\Cache\Events\CacheHit (135μs)
Illuminate\Cache\Events\CacheHit (145μs)
Illuminate\Cache\Events\CacheHit (131μs)
Illuminate\Cache\Events\CacheHit (145μs)
Illuminate\Cache\Events\CacheHit (139μs)
Illuminate\Cache\Events\CacheHit (149μs)
Illuminate\Cache\Events\CacheHit (133μs)
Illuminate\Cache\Events\CacheHit (158μs)
Illuminate\Cache\Events\CacheHit (141μs)
Illuminate\Cache\Events\CacheHit (156μs)
Illuminate\Cache\Events\CacheHit (137μs)
Illuminate\Cache\Events\CacheHit (154μs)
Illuminate\Cache\Events\CacheHit (135μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (147μs)
Illuminate\Cache\Events\CacheHit (135μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (126μs)
Illuminate\Cache\Events\CacheHit (135μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (132μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (127μs)
Illuminate\Cache\Events\CacheHit (97μs)
Illuminate\Cache\Events\CacheHit (134μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (119μs)
Illuminate\Cache\Events\CacheHit (99μs)
Illuminate\Cache\Events\CacheHit (131μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (96μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (584μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (99μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (257μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (99μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (99μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (98μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (131μs)
Illuminate\Cache\Events\CacheHit (139μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (95μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (98μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (95μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (99μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (97μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (97μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (99μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (98μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (145μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (145μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (99μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (95μs)
Illuminate\Cache\Events\CacheHit (141μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (104μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (96μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (98μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (96μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (95μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (94μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (93μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (105μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (105μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (97μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (95μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (141μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (96μs)
Illuminate\Cache\Events\CacheHit (133μs)
Illuminate\Cache\Events\CacheHit (99μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (97μs)
Illuminate\Cache\Events\CacheHit (125μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (97μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (94μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (94μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (97μs)
Illuminate\Cache\Events\CacheHit (107μs)
Illuminate\Cache\Events\CacheHit (94μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (596μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (98μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (97μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (96μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (96μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (96μs)
Illuminate\Cache\Events\CacheHit (136μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (97μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (95μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (98μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (99μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (95μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (95μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (95μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (94μs)
Illuminate\Cache\Events\CacheHit (107μs)
Illuminate\Cache\Events\CacheHit (94μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (98μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (97μs)
Illuminate\Cache\Events\CacheHit (108μs)
Illuminate\Cache\Events\CacheHit (95μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (101μs)
Illuminate\Cache\Events\CacheHit (259μs)
Illuminate\Cache\Events\CacheHit (105μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (95μs)
Illuminate\Cache\Events\CacheHit (134μs)
Illuminate\Cache\Events\CacheHit (109μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (97μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (97μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (95μs)
Illuminate\Cache\Events\CacheHit (117μs)
Illuminate\Cache\Events\CacheHit (97μs)
Illuminate\Cache\Events\CacheHit (118μs)
Illuminate\Cache\Events\CacheHit (97μs)
Illuminate\Cache\Events\CacheHit (106μs)
Illuminate\Cache\Events\CacheHit (93μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (123μs)
Illuminate\Cache\Events\CacheHit (100μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (93μs)
Illuminate\Cache\Events\CacheHit (121μs)
Illuminate\Cache\Events\CacheHit (92μs)
Illuminate\Cache\Events\CacheHit (113μs)
Illuminate\Cache\Events\CacheHit (95μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (96μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (96μs)
Illuminate\Cache\Events\CacheHit (115μs)
Illuminate\Cache\Events\CacheHit (107μs)
Illuminate\Cache\Events\CacheHit (128μs)
Illuminate\Cache\Events\CacheHit (99μs)
Illuminate\Cache\Events\CacheHit (138μs)
Illuminate\Cache\Events\CacheHit (99μs)
Illuminate\Cache\Events\CacheHit (110μs)
Illuminate\Cache\Events\CacheHit (95μs)
Illuminate\Cache\Events\CacheHit (114μs)
Illuminate\Cache\Events\CacheHit (98μs)
creating: site.layouts.app (319μs)
composing: site.layouts.app (16μs)
creating: components.canonical (305μs)
composing: components.canonical (68μs)
creating: components.open-graph (117μs)
composing: components.open-graph (47μs)
creating: site.headers.header (179μs)
composing: site.headers.header (49μs)
Illuminate\Cache\Events\CacheHit (1.24ms)
creating: components.footer (68μs)
composing: components.footer (67μs)
Illuminate\Cache\Events\CacheHit (612μs)
Illuminate\Cache\Events\CacheHit (362μs)
Illuminate\Cache\Events\CacheHit (176μs)
Illuminate\Cache\Events\CacheHit (122μs)
Illuminate\Cache\Events\CacheHit (116μs)
Illuminate\Cache\Events\CacheHit (111μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (124μs)
Illuminate\Cache\Events\CacheHit (120μs)
Illuminate\Cache\Events\CacheHit (112μs)
Illuminate\Cache\Events\CacheHit (119μs)
Illuminate\Cache\Events\CacheHit (113μs)
creating: components.forms.contact-us (156μs)
composing: components.forms.contact-us (103μs)
creating: components.forms.get-started (96μs)
composing: components.forms.get-started (45μs)
creating: components.forms.free-tool-download (70μs)
composing: components.forms.free-tool-download (40μs)
creating: components.forms.claim-free-worksheet (65μs)
composing: components.forms.claim-free-worksheet (38μs)
creating: components.forms.tutor-subscription-waitlist (64μs)
composing: components.forms.tutor-subscription-waitlist (37μs)
creating: components.forms.tutor-subscription-join (87μs)
composing: components.forms.tutor-subscription-join (38μs)
creating: components.forms.tutor-support (62μs)
composing: components.forms.tutor-support (39μs)

321 x Illuminate\Cache\Events\CacheHit (17.84%)	55.68ms
10 x Illuminate\Database\Events\StatementPrepared (8.47%)	26.44ms
10 x Illuminate\Database\Events\QueryExecuted (6.76%)	21.11ms
1 x Illuminate\Foundation\Events\LocaleUpdated (1.31%)	4.10ms
1 x Illuminate\Cache\Events\CacheMissed (0.46%)	1.43ms
1 x Illuminate\Routing\Events\Routing (0.33%)	1.03ms
1 x Illuminate\Cache\Events\KeyWritten (0.32%)	996μs
1 x Illuminate\Database\Events\ConnectionEstablished (0.29%)	914μs
1 x Illuminate\Routing\Events\RouteMatched (0.13%)	419μs
1 x creating: site.layouts.app (0.1%)	319μs
1 x creating: components.breadcrumbs (0.1%)	314μs
1 x creating: homework.show (0.1%)	310μs
1 x creating: components.canonical (0.1%)	305μs
1 x eloquent.booting: App\Models\SubjectCat (0.09%)	286μs
3 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.09%)	278μs
7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.07%)	208μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.06%)	182μs
1 x creating: site.headers.header (0.06%)	179μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.05%)	166μs
2 x eloquent.retrieved: App\Models\Subject (0.05%)	164μs
2 x eloquent.retrieved: App\Models\SubjectCat (0.05%)	159μs
1 x creating: components.forms.contact-us (0.05%)	156μs
1 x composing: components.breadcrumbs (0.04%)	139μs
1 x creating: components.open-graph (0.04%)	117μs
1 x composing: homework.show (0.04%)	112μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.03%)	108μs
1 x composing: components.forms.contact-us (0.03%)	103μs
1 x creating: components.forms.get-started (0.03%)	96μs
1 x creating: components.forms.tutor-subscription-join (0.03%)	87μs
1 x creating: components.forms.free-tool-download (0.02%)	70μs
1 x composing: components.canonical (0.02%)	68μs
1 x creating: components.footer (0.02%)	68μs
1 x composing: components.footer (0.02%)	67μs
1 x creating: components.forms.claim-free-worksheet (0.02%)	65μs
1 x creating: components.forms.tutor-subscription-waitlist (0.02%)	64μs
1 x creating: components.forms.tutor-support (0.02%)	62μs
1 x eloquent.booting: App\Models\Subject (0.02%)	56μs
1 x composing: site.headers.header (0.02%)	49μs
1 x composing: components.open-graph (0.02%)	47μs
1 x composing: components.forms.get-started (0.01%)	45μs
1 x eloquent.booted: App\Models\SubjectCat (0.01%)	43μs
1 x composing: components.forms.free-tool-download (0.01%)	40μs
1 x eloquent.booted: App\Models\Subject (0.01%)	40μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)	39μs
1 x composing: components.forms.tutor-support (0.01%)	39μs
1 x composing: components.forms.claim-free-worksheet (0.01%)	38μs
1 x composing: components.forms.tutor-subscription-join (0.01%)	38μs
1 x composing: components.forms.tutor-subscription-waitlist (0.01%)	37μs
1 x composing: site.layouts.app (0.01%)	16μs

14 templates were rendered

1x homework.showshow.blade.phpblade
1x components.breadcrumbsbreadcrumbs.blade.phpblade
1x site.layouts.appapp.blade.phpblade
1x components.canonicalcanonical.blade.phpblade
1x components.open-graphopen-graph.blade.phpblade
1x site.headers.headerheader.blade.phpblade
1x components.footerfooter.blade.phpblade
1x components.forms.contact-uscontact-us.blade.phpblade
1x components.forms.get-startedget-started.blade.phpblade
1x components.forms.free-tool-downloadfree-tool-download.blade.phpblade
1x components.forms.claim-free-worksheetclaim-free-worksheet.blade.phpblade
1x components.forms.tutor-subscription-waitlisttutor-subscription-waitlist.blade.phpblade
1x components.forms.tutor-subscription-jointutor-subscription-join.blade.phpblade
1x components.forms.tutor-supporttutor-support.blade.phpblade

uri: GET college-homework-library/{category}/{subject}/{id}
middleware: web, utm.parameters
controller: App\Http\Controllers\HomeworkLibraryController@show
namespace
where
as: homework.show
file: app/Http/Controllers/HomeworkLibraryController.php:79-176

10 statements were executed, 4 of which were duplicates, 6 unique. Show only duplicated38.88ms

Connection Establishedtwenty4_siteHomeworkLibraryController.php#91

Backtrace

13. app/Http/Controllers/HomeworkLibraryController.php:91
14. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
15. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
16. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205

select * from `solutionslibrary` where `status` = 'published' and `price` > 0 and `solutionslibrary`.`id` = '53059' limit 1

18.69mstwenty4_siteHomeworkLibraryController.php#97

Bindings	0: published 1: 0 2: 53059
Backtrace	16. app/Http/Controllers/HomeworkLibraryController.php:97 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205

select * from `subjects` where `subjects`.`id` in (15)

980μstwenty4_siteHomeworkLibraryController.php#97

Backtrace

21. app/Http/Controllers/HomeworkLibraryController.php:97
22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205

select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` in (53059)

4.64mstwenty4_siteHomeworkLibraryController.php#97

Backtrace

21. app/Http/Controllers/HomeworkLibraryController.php:97
22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205

select * from `subject_cats` where `subject_cats`.`id` = 3 limit 1

1.34mstwenty4_siteHomeworkLibrary.php#201

Bindings	0: 3
Backtrace	20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201 26. app/Http/Controllers/HomeworkLibraryController.php:105 27. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54 28. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43 29. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260

select * from `solutionslibrary` where `id` <> 53059 and `subject` = 15 and `status` = 'published' and `price` > 0 order by RAND() limit 6

7.74mstwenty4_siteHomeworkLibraryRepository.php#30

Bindings	0: 53059 1: 15 2: published 3: 0
Backtrace	14. app/Repositories/HomeworkLibraryRepository.php:30 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 18. app/Repositories/HomeworkLibraryRepository.php:39 19. app/Http/Controllers/HomeworkLibraryController.php:139

select * from `subjects` where `subjects`.`id` in (15)

930μstwenty4_siteHomeworkLibraryRepository.php#30

Backtrace

19. app/Repositories/HomeworkLibraryRepository.php:30
20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
23. app/Repositories/HomeworkLibraryRepository.php:39
24. app/Http/Controllers/HomeworkLibraryController.php:139

select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 53059 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc

1.14mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 53059 1: question
Backtrace	15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:58 19. vendor/league/fractal/src/TransformerAbstract.php:128 20. vendor/league/fractal/src/TransformerAbstract.php:107 21. vendor/league/fractal/src/Scope.php:383

select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 53059 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc

1.15mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 53059 1: teaser
Backtrace	15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:69 19. vendor/league/fractal/src/TransformerAbstract.php:128 20. vendor/league/fractal/src/TransformerAbstract.php:107 21. vendor/league/fractal/src/Scope.php:383

select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 53059 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc

1.18mstwenty4_siteHomeworkLibrary.php#260

Bindings	0: 53059 1: solution
Backtrace	15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:80 19. vendor/league/fractal/src/TransformerAbstract.php:128 20. vendor/league/fractal/src/TransformerAbstract.php:107 21. vendor/league/fractal/src/Scope.php:383

select * from `subject_cats` where `subject_cats`.`id` = 3 limit 1

1.09mstwenty4_siteHomeworkLibrary.php#201

Bindings	0: 3
Backtrace	20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201 32. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 33. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 34. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69 35. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70

App\Models\HomeworkLibrary\HomeworkLibrary: 7HomeworkLibrary.php
App\Models\HomeworkLibrary\HomeworkLibraryFile: 3HomeworkLibraryFile.php
App\Models\Subject: 2Subject.php
App\Models\SubjectCat: 2SubjectCat.php

_token: qAslDUyY152CSq4KEjJH9PLSfcBnQLmi3lkbMrAD
utm_source: direct
redirectUrl: /college-homework-library/Computer-Science/Discrete-Math/53059
_previous: array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Computer-Scienc...
_flash: array:2 [ "old" => [] "new" => [] ]
PHPDEBUGBAR_STACK_DATA: []

path_info

/college-homework-library/Computer-Science/Discrete-Math/53059

status_code

status_text

format

html

content_type

text/html; charset=UTF-8

request_query

[]

request_request

[]

request_headers

  0 of 0   
array:21 [▼
  "priority" => array:1 [▶
    0 => "u=0, i"
  ]
  "accept-encoding" => array:1 [▶
    0 => "gzip, deflate, br, zstd"
  ]
  "sec-fetch-dest" => array:1 [▶
    0 => "document"
  ]
  "sec-fetch-user" => array:1 [▶
    0 => "?1"
  ]
  "sec-fetch-mode" => array:1 [▶
    0 => "navigate"
  ]
  "sec-fetch-site" => array:1 [▶
    0 => "none"
  ]
  "accept" => array:1 [▶
    0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7"
  ]
  "user-agent" => array:1 [▶
    0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
  ]
  "upgrade-insecure-requests" => array:1 [▶
    0 => "1"
  ]
  "sec-ch-ua-platform" => array:1 [▶
    0 => ""Windows""
  ]
  "sec-ch-ua-mobile" => array:1 [▶
    0 => "?0"
  ]
  "sec-ch-ua" => array:1 [▶
    0 => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129""
  ]
  "cache-control" => array:1 [▶
    0 => "no-cache"
  ]
  "pragma" => array:1 [▶
    0 => "no-cache"
  ]
  "x-amzn-trace-id" => array:1 [▶
    0 => "Root=1-680a8fe4-3006e1c2725977c852493139"
  ]
  "host" => array:1 [▶
    0 => "staging.dev.24houranswers.com"
  ]
  "x-forwarded-port" => array:1 [▶
    0 => "443"
  ]
  "x-forwarded-proto" => array:1 [▶
    0 => "https"
  ]
  "x-forwarded-for" => array:1 [▶
    0 => "3.147.58.74"
  ]
  "content-length" => array:1 [▶
    0 => ""
  ]
  "content-type" => array:1 [▶
    0 => ""
  ]
]

request_cookies

[]

response_headers

  0 of 0   
array:5 [▼
  "content-type" => array:1 [▶
    0 => "text/html; charset=UTF-8"
  ]
  "cache-control" => array:1 [▶
    0 => "no-cache, private"
  ]
  "date" => array:1 [▶
    0 => "Thu, 24 Apr 2025 19:24:20 GMT"
  ]
  "set-cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6InRIRUZsVTlFWHNOdy9GUFBWUGtSZGc9PSIsInZhbHVlIjoiM2s4cUN5dkNHbHVOOWlTR2Zqb1B6R1Y5azlLVkRhSnVWcmUrZXZtV1B4ckNhU1pGQXZrZlZtckVZYkhBVE41ZnV6RXVYbFNqblQzNlVTdjJSRlVIa1JVRmNuUm9zVENZMXQ2ZUptQ2dPY0hpZE5BVldYKzMxVEo3YlUvWTN0eGsiLCJtYWMiOiIxOWFmNzk2NmM1YjhlODM3MDQzZTkyNjE5MDY5NjY5ZmY2ZTE1ZjkyNzZmNDU2M2I1NzAwNzU2NThhMjA3YTZkIiwidGFnIjoiIn0%3D; expires=Thu, 24 Apr 2025 21:24:20 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; samesite=lax ◀XSRF-TOKEN=eyJpdiI6InRIRUZsVTlFWHNOdy9GUFBWUGtSZGc9PSIsInZhbHVlIjoiM2s4cUN5dkNHbHVOOWlTR2Zqb1B6R1Y5azlLVkRhSnVWcmUrZXZtV1B4ckNhU1pGQXZrZlZtckVZYkhBVE41ZnV6RXVYb ▶"
    1 => "24houranswers_session=eyJpdiI6InUxVGxCZVBoYmpQT2ttaGh0UXI4cVE9PSIsInZhbHVlIjoiMldMbGV0dUQxTDdsWHh1dzY5SU96Y04vZlhaNXhyaHBSZlIvd3I0d0hJUkhDQkcramlsSHUzeWZuWmZMaGJ6alE1WUcyVlpEME1kSGtnMmJRRE9pbDdLS25jR1JXNTAvL08rRGpjTmZKaGZyRFE4MEU3eVBNTmIzZm02K1J0ZmoiLCJtYWMiOiI0ODVjZTdlZWM2YmNjYmJlOTNiODJjNjEzMDU4YjBlZmVkOWY2ZjJjMjZiYjBiNjdlNjE1NWI5YjgxM2VlMDlkIiwidGFnIjoiIn0%3D; expires=Thu, 24 Apr 2025 21:24:20 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; httponly; samesite=lax ◀24houranswers_session=eyJpdiI6InUxVGxCZVBoYmpQT2ttaGh0UXI4cVE9PSIsInZhbHVlIjoiMldMbGV0dUQxTDdsWHh1dzY5SU96Y04vZlhaNXhyaHBSZlIvd3I0d0hJUkhDQkcramlsSHUzeWZuWmZMaG ▶"
  ]
  "Set-Cookie" => array:2 [▶
    0 => "XSRF-TOKEN=eyJpdiI6InRIRUZsVTlFWHNOdy9GUFBWUGtSZGc9PSIsInZhbHVlIjoiM2s4cUN5dkNHbHVOOWlTR2Zqb1B6R1Y5azlLVkRhSnVWcmUrZXZtV1B4ckNhU1pGQXZrZlZtckVZYkhBVE41ZnV6RXVYbFNqblQzNlVTdjJSRlVIa1JVRmNuUm9zVENZMXQ2ZUptQ2dPY0hpZE5BVldYKzMxVEo3YlUvWTN0eGsiLCJtYWMiOiIxOWFmNzk2NmM1YjhlODM3MDQzZTkyNjE5MDY5NjY5ZmY2ZTE1ZjkyNzZmNDU2M2I1NzAwNzU2NThhMjA3YTZkIiwidGFnIjoiIn0%3D; expires=Thu, 24-Apr-2025 21:24:20 GMT; domain=.24houranswers.com; path=/ ◀XSRF-TOKEN=eyJpdiI6InRIRUZsVTlFWHNOdy9GUFBWUGtSZGc9PSIsInZhbHVlIjoiM2s4cUN5dkNHbHVOOWlTR2Zqb1B6R1Y5azlLVkRhSnVWcmUrZXZtV1B4ckNhU1pGQXZrZlZtckVZYkhBVE41ZnV6RXVYb ▶"
    1 => "24houranswers_session=eyJpdiI6InUxVGxCZVBoYmpQT2ttaGh0UXI4cVE9PSIsInZhbHVlIjoiMldMbGV0dUQxTDdsWHh1dzY5SU96Y04vZlhaNXhyaHBSZlIvd3I0d0hJUkhDQkcramlsSHUzeWZuWmZMaGJ6alE1WUcyVlpEME1kSGtnMmJRRE9pbDdLS25jR1JXNTAvL08rRGpjTmZKaGZyRFE4MEU3eVBNTmIzZm02K1J0ZmoiLCJtYWMiOiI0ODVjZTdlZWM2YmNjYmJlOTNiODJjNjEzMDU4YjBlZmVkOWY2ZjJjMjZiYjBiNjdlNjE1NWI5YjgxM2VlMDlkIiwidGFnIjoiIn0%3D; expires=Thu, 24-Apr-2025 21:24:20 GMT; domain=.24houranswers.com; path=/; httponly ◀24houranswers_session=eyJpdiI6InUxVGxCZVBoYmpQT2ttaGh0UXI4cVE9PSIsInZhbHVlIjoiMldMbGV0dUQxTDdsWHh1dzY5SU96Y04vZlhaNXhyaHBSZlIvd3I0d0hJUkhDQkcramlsSHUzeWZuWmZMaG ▶"
  ]
]

session_attributes

  0 of 0   
array:6 [▼
  "_token" => "qAslDUyY152CSq4KEjJH9PLSfcBnQLmi3lkbMrAD"
  "utm_source" => "direct"
  "redirectUrl" => "/college-homework-library/Computer-Science/Discrete-Math/53059"
  "_previous" => array:1 [▶
    "url" => "https://staging.dev.24houranswers.com/college-homework-library/Computer-Science/Discrete-Math/53059"
  ]
  "_flash" => array:2 [▶
    "old" => []
    "new" => []
  ]
  "PHPDEBUGBAR_STACK_DATA" => []
]

Find the first five terms of the recursively defined sequence: u(k...

Similar Homework Solutions

1 x Booting (61.33%)	191ms
1 x Application (38.67%)	121ms