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MATLAB for Computer Science

Introduction to MATLAB

 

History

Many engineering and scientific challenges incur the need to organize data in matrices, perform various operations on them, and calculate the solution of a set of equations. The combination of more complex problems and evolving computer power led to the development of a special program for working on matrices called MATLAB (Matrix Laboratory). Work on MATLAB was initiated as far back as in the 1950s but the first real version called Fortran MATLAB was on the market in the early 1970s.1  The success of the early MATLAB releases enabled the founders to start a company in 1984 especially for handling MATLAB called the MathWorks2. Today, numerous university departments and corporations in most parts of the world are using it.

 Basics

Everything in MATLAB is centered on the concept of a matrix. Strictly speaking, this is a group of numbers organized in a rectangular m x n collection, where the numbers may represent virtually anything. Basically, MATLAB treats scalars and vectors as special cases of matrices.

 Operations

A number of ways to manipulate the data may become necessary, such as:

  • Transposition
  • Inverse if possible
  • Multiplication
  • Eigenvalue / Eigenvector calculation
  • LU factorization
  • Diagonalization

All of these are readily available in MATLAB. Strong built-in routines avoid loops and make for easier development.

Performance

While MATLAB offers strong built-in routines with fast computation, it lacks the optimization feature that platform specific HPC compilers give. This means that MATLAB code is generally slightly slower than optimized Fortran or C++ code, for example. Table 1 and 2 summarize the performance of MATLAB compared to a few contemporary computing environments for a number of arbitrary problems.

a. Double loop , 5000 x 5000 operations:

 

Environment

Computation time / s

Optimized Fortran

0.26

NumPy

0.96

MATLAB

2.40

Java

12.6

Table 1. Performance for nested loop3

 b) Matrix multiplication, 1500 x 1500

Environment

Computation time / s

MATLAB

0.97

NumPy

0.96

Optimized Fortran

2.40

Java

12.6

Table 2. Performance for Matrix multiplication3

The tables illustrate how MATLABs’s strength lies in the built-in procedures rather than procedural programming. In Table 1, MATLAB is well behind Fortran and NumPy for a problem in the size of 20-30 million operations. However, Table 2 shows how MATLAB can outperform Fortran when the built-in matrix multiplication function is utilized. 

Plotting

MATLAB also features a number of plotting options, in 2D and 3D. Lines can be in different shapes and colors, and data points emphasized in different ways. Plotting and visualizations are some of MATLAB’s great strengths.

References

  1. Moler, C.: The Origins of MATLAB, http://se.mathworks.com/company/newsletters/articles/the-origins-of-matlab.html
  2. The Mathworks, mathworks.com
  3. Kouatchou, J.: Comparing Python, NumPy, Matlab, Fortran etc.

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      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (272μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheHit (156μs)
      • Illuminate\Cache\Events\CacheHit (252μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (153μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (216μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (212μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (206μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (212μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (214μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (222μs)
      • Illuminate\Cache\Events\CacheHit (264μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (218μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • creating: components.tutors-card (8.78ms)
      • composing: components.tutors-card (66μs)
      • Illuminate\Database\Events\StatementPrepared (2.61ms)
      • Illuminate\Database\Events\QueryExecuted (1.73ms)
      • Illuminate\Cache\Events\CacheHit (2.18ms)
      • Illuminate\Cache\Events\CacheHit (6.27ms)
      • Illuminate\Cache\Events\CacheHit (1.08ms)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (2.28ms)
      • Illuminate\Cache\Events\CacheHit (310μs)
      • Illuminate\Cache\Events\CacheHit (648μs)
      • Illuminate\Cache\Events\CacheHit (298μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (395μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (224μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (731μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheHit (285μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (242μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (202μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (383μs)
      • Illuminate\Cache\Events\CacheHit (256μs)
      • Illuminate\Cache\Events\CacheHit (303μs)
      • Illuminate\Cache\Events\CacheHit (448μs)
      • Illuminate\Cache\Events\CacheHit (268μs)
      • Illuminate\Cache\Events\CacheHit (391μs)
      • Illuminate\Cache\Events\CacheHit (275μs)
      • Illuminate\Cache\Events\CacheHit (208μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (233μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (218μs)
      • Illuminate\Cache\Events\CacheHit (300μs)
      • Illuminate\Cache\Events\CacheHit (227μs)
      • Illuminate\Cache\Events\CacheHit (945μs)
      • Illuminate\Cache\Events\CacheHit (215μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • creating: components.tutors-card (749μs)
      • composing: components.tutors-card (68μs)
      • Illuminate\Database\Events\StatementPrepared (2.01ms)
      • Illuminate\Database\Events\QueryExecuted (918μs)
      • Illuminate\Cache\Events\CacheMissed (3.5ms)
      • Illuminate\Cache\Events\CacheMissed (8.29ms)
      • Illuminate\Database\Events\StatementPrepared (1.36ms)
      • Illuminate\Database\Events\QueryExecuted (7.87ms)
      • eloquent.retrieved: App\Models\Subject (1.24ms)
      • eloquent.retrieved: App\Models\Subject (31μs)
      • eloquent.retrieved: App\Models\Subject (12μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (8μs)
      • Illuminate\Database\Events\StatementPrepared (1.79ms)
      • Illuminate\Database\Events\QueryExecuted (1.41ms)
      • eloquent.retrieved: App\Models\SubjectCat (130μs)
      • eloquent.retrieved: App\Models\SubjectCat (23μs)
      • eloquent.retrieved: App\Models\SubjectCat (12μs)
      • eloquent.retrieved: App\Models\SubjectCat (10μs)
      • Illuminate\Cache\Events\KeyWritten (15.33ms)
      • Illuminate\Cache\Events\KeyWritten (1.09ms)
      • Illuminate\Cache\Events\CacheHit (1.7ms)
      • Illuminate\Cache\Events\CacheHit (5.51ms)
      • Illuminate\Cache\Events\CacheHit (231μs)
      • Illuminate\Cache\Events\CacheHit (218μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (214μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (229μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (280μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (156μs)
      • Illuminate\Cache\Events\CacheHit (202μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (615μs)
      • Illuminate\Cache\Events\CacheHit (273μs)
      • Illuminate\Cache\Events\CacheHit (442μs)
      • Illuminate\Cache\Events\CacheHit (320μs)
      • Illuminate\Cache\Events\CacheHit (236μs)
      • Illuminate\Cache\Events\CacheHit (202μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (289μs)
      • Illuminate\Cache\Events\CacheHit (274μs)
      • Illuminate\Cache\Events\CacheHit (223μs)
      • Illuminate\Cache\Events\CacheHit (247μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (9.76ms)
      • Illuminate\Cache\Events\CacheHit (242μs)
      • Illuminate\Cache\Events\CacheHit (214μs)
      • Illuminate\Cache\Events\CacheHit (432μs)
      • Illuminate\Cache\Events\CacheHit (212μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (149μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (153μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (154μs)
      • Illuminate\Cache\Events\CacheHit (1.2ms)
      • Illuminate\Cache\Events\CacheHit (247μs)
      • Illuminate\Cache\Events\CacheHit (238μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheHit (570μs)
      • Illuminate\Cache\Events\CacheHit (275μs)
      • Illuminate\Cache\Events\CacheHit (241μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (153μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (155μs)
      • creating: components.tutors-card (774μs)
      • composing: components.tutors-card (71μs)
      • Illuminate\Database\Events\StatementPrepared (11.8ms)
      • Illuminate\Database\Events\QueryExecuted (1.41ms)
      • Illuminate\Cache\Events\CacheMissed (479μs)
      • Illuminate\Cache\Events\CacheMissed (2.02ms)
      • Illuminate\Database\Events\StatementPrepared (1.55ms)
      • Illuminate\Database\Events\QueryExecuted (7.62ms)
      • eloquent.retrieved: App\Models\Subject (205μs)
      • eloquent.retrieved: App\Models\Subject (26μs)
      • eloquent.retrieved: App\Models\Subject (15μs)
      • eloquent.retrieved: App\Models\Subject (11μs)
      • eloquent.retrieved: App\Models\Subject (11μs)
      • eloquent.retrieved: App\Models\Subject (11μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (12μs)
      • eloquent.retrieved: App\Models\Subject (14μs)
      • eloquent.retrieved: App\Models\Subject (11μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • eloquent.retrieved: App\Models\Subject (11μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (12μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (11μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • eloquent.retrieved: App\Models\Subject (9μs)
      • eloquent.retrieved: App\Models\Subject (11μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • eloquent.retrieved: App\Models\Subject (11μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • eloquent.retrieved: App\Models\Subject (11μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • eloquent.retrieved: App\Models\Subject (11μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • eloquent.retrieved: App\Models\Subject (11μs)
      • eloquent.retrieved: App\Models\Subject (10μs)
      • Illuminate\Database\Events\StatementPrepared (6.45ms)
      • Illuminate\Database\Events\QueryExecuted (1.61ms)
      • eloquent.retrieved: App\Models\SubjectCat (260μs)
      • eloquent.retrieved: App\Models\SubjectCat (28μs)
      • eloquent.retrieved: App\Models\SubjectCat (14μs)
      • eloquent.retrieved: App\Models\SubjectCat (13μs)
      • Illuminate\Cache\Events\KeyWritten (4.82ms)
      • Illuminate\Cache\Events\KeyWritten (9.5ms)
      • Illuminate\Cache\Events\CacheHit (3.08ms)
      • Illuminate\Cache\Events\CacheHit (870μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (212μs)
      • Illuminate\Cache\Events\CacheHit (313μs)
      • Illuminate\Cache\Events\CacheHit (549μs)
      • Illuminate\Cache\Events\CacheHit (290μs)
      • Illuminate\Cache\Events\CacheHit (887μs)
      • Illuminate\Cache\Events\CacheHit (284μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (8.56ms)
      • Illuminate\Cache\Events\CacheHit (361μs)
      • Illuminate\Cache\Events\CacheHit (251μs)
      • Illuminate\Cache\Events\CacheHit (440μs)
      • Illuminate\Cache\Events\CacheHit (247μs)
      • Illuminate\Cache\Events\CacheHit (253μs)
      • Illuminate\Cache\Events\CacheHit (226μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (236μs)
      • Illuminate\Cache\Events\CacheHit (402μs)
      • Illuminate\Cache\Events\CacheHit (695μs)
      • Illuminate\Cache\Events\CacheHit (36.56ms)
      • Illuminate\Cache\Events\CacheHit (704μs)
      • Illuminate\Cache\Events\CacheHit (383μs)
      • Illuminate\Cache\Events\CacheHit (314μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (514μs)
      • Illuminate\Cache\Events\CacheHit (313μs)
      • Illuminate\Cache\Events\CacheHit (250μs)
      • Illuminate\Cache\Events\CacheHit (272μs)
      • Illuminate\Cache\Events\CacheHit (233μs)
      • Illuminate\Cache\Events\CacheHit (259μs)
      • Illuminate\Cache\Events\CacheHit (233μs)
      • Illuminate\Cache\Events\CacheHit (455μs)
      • Illuminate\Cache\Events\CacheHit (477μs)
      • Illuminate\Cache\Events\CacheHit (214μs)
      • Illuminate\Cache\Events\CacheHit (405μs)
      • Illuminate\Cache\Events\CacheHit (222μs)
      • Illuminate\Cache\Events\CacheHit (219μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (223μs)
      • Illuminate\Cache\Events\CacheHit (202μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (308μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (311μs)
      • Illuminate\Cache\Events\CacheHit (199μs)
      • Illuminate\Cache\Events\CacheHit (8.52ms)
      • Illuminate\Cache\Events\CacheHit (436μs)
      • Illuminate\Cache\Events\CacheHit (313μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • Illuminate\Cache\Events\CacheHit (431μs)
      • Illuminate\Cache\Events\CacheHit (386μs)
      • Illuminate\Cache\Events\CacheHit (259μs)
      • Illuminate\Cache\Events\CacheHit (214μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (212μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (8.48ms)
      • Illuminate\Cache\Events\CacheHit (283μs)
      • Illuminate\Cache\Events\CacheHit (250μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (239μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • creating: site.blocks.subject-homework (887μs)
      • composing: site.blocks.subject-homework (36μs)
      • eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (340μs)
      • eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (126μs)
      • Illuminate\Database\Events\StatementPrepared (1.15ms)
      • Illuminate\Database\Events\QueryExecuted (1.09ms)
      • Illuminate\Database\Events\StatementPrepared (822μs)
      • Illuminate\Database\Events\QueryExecuted (3.39ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (147μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (23μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (13μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (11μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (11μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (12μs)
      • Illuminate\Database\Events\StatementPrepared (841μs)
      • Illuminate\Database\Events\QueryExecuted (1.09ms)
      • eloquent.retrieved: App\Models\Subject (115μs)
      • Illuminate\Database\Events\StatementPrepared (835μs)
      • Illuminate\Database\Events\QueryExecuted (913μs)
      • eloquent.retrieved: App\Models\SubjectCat (107μs)
      • creating: components.homework-blocks (285μs)
      • composing: components.homework-blocks (118μs)
      • creating: site.blocks.reviews (985μs)
      • composing: site.blocks.reviews (23μs)
      • creating: site.blocks.submit-homework (262μs)
      • composing: site.blocks.submit-homework (22μs)
      • creating: site.blocks.faq (111μs)
      • composing: site.blocks.faq (18μs)
      • eloquent.booting: App\Models\Twill\TwillFaq (155μs)
      • eloquent.booted: App\Models\Twill\TwillFaq (170μs)
      • eloquent.booting: App\Models\Twill\Slugs\TwillFaqSlug (220μs)
      • eloquent.booted: App\Models\Twill\Slugs\TwillFaqSlug (76μs)
      • Illuminate\Database\Events\StatementPrepared (8.35ms)
      • Illuminate\Database\Events\QueryExecuted (2.23ms)
      • eloquent.retrieved: App\Models\Twill\TwillFaq (194μs)
      • Illuminate\Database\Events\StatementPrepared (1.55ms)
      • Illuminate\Database\Events\QueryExecuted (900μs)
      • eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (219μs)
      • eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (27μs)
      • creating: components.faq-item (176μs)
      • composing: components.faq-item (156μs)
      • Illuminate\Database\Events\StatementPrepared (1.43ms)
      • Illuminate\Database\Events\QueryExecuted (9.44ms)
      • eloquent.retrieved: App\Models\Twill\TwillFaq (182μs)
      • Illuminate\Database\Events\StatementPrepared (873μs)
      • Illuminate\Database\Events\QueryExecuted (1.05ms)
      • eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (97μs)
      • eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (23μs)
      • creating: components.faq-item (98μs)
      • composing: components.faq-item (53μs)
      • Illuminate\Database\Events\StatementPrepared (5.08ms)
      • Illuminate\Database\Events\QueryExecuted (1.31ms)
      • eloquent.retrieved: App\Models\Twill\TwillFaq (202μs)
      • Illuminate\Database\Events\StatementPrepared (6.5ms)
      • Illuminate\Database\Events\QueryExecuted (987μs)
      • eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (124μs)
      • creating: components.faq-item (196μs)
      • composing: components.faq-item (64μs)
      • Illuminate\Database\Events\StatementPrepared (1.32ms)
      • Illuminate\Database\Events\QueryExecuted (1.58ms)
      • eloquent.retrieved: App\Models\Twill\TwillFaq (268μs)
      • Illuminate\Database\Events\StatementPrepared (3.44ms)
      • Illuminate\Database\Events\QueryExecuted (927μs)
      • eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (98μs)
      • creating: components.faq-item (103μs)
      • composing: components.faq-item (110μs)
      • creating: site.blocks.text-with-image (305μs)
      • composing: site.blocks.text-with-image (21μs)
      • creating: site.blocks.work-with-tutors (196μs)
      • composing: site.blocks.work-with-tutors (21μs)
      • creating: site.layouts.app (236μs)
      • composing: site.layouts.app (20μs)
      • creating: components.canonical (383μs)
      • composing: components.canonical (97μs)
      • creating: components.open-graph (157μs)
      • composing: components.open-graph (70μs)
      • creating: site.headers.header (328μs)
      • composing: site.headers.header (79μs)
      • Illuminate\Cache\Events\CacheHit (17.23ms)
      • creating: components.footer (150μs)
      • composing: components.footer (124μs)
      • Illuminate\Cache\Events\CacheHit (1.03ms)
      • Illuminate\Cache\Events\CacheHit (315μs)
      • Illuminate\Cache\Events\CacheHit (401μs)
      • Illuminate\Cache\Events\CacheHit (219μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (276μs)
      • Illuminate\Cache\Events\CacheHit (199μs)
      • Illuminate\Cache\Events\CacheHit (301μs)
      • Illuminate\Cache\Events\CacheHit (319μs)
      • Illuminate\Cache\Events\CacheHit (268μs)
      • Illuminate\Cache\Events\CacheHit (208μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • creating: components.forms.contact-us (298μs)
      • composing: components.forms.contact-us (189μs)
      • creating: components.forms.get-started (270μs)
      • composing: components.forms.get-started (103μs)
      • creating: components.forms.free-tool-download (137μs)
      • composing: components.forms.free-tool-download (68μs)
      • creating: components.forms.claim-free-worksheet (102μs)
      • composing: components.forms.claim-free-worksheet (65μs)
      • creating: components.forms.tutor-subscription-waitlist (97μs)
      • composing: components.forms.tutor-subscription-waitlist (64μs)
      • creating: components.forms.tutor-subscription-join (106μs)
      • composing: components.forms.tutor-subscription-join (64μs)
      • creating: components.forms.tutor-support (89μs)
      • composing: components.forms.tutor-support (65μs)
      • 472 x Illuminate\Cache\Events\CacheHit (25.31%)
        267ms
        28 x Illuminate\Database\Events\StatementPrepared (9.04%)
        95.17ms
        28 x Illuminate\Database\Events\QueryExecuted (8.05%)
        84.77ms
        5 x Illuminate\Cache\Events\KeyWritten (2.97%)
        31.26ms
        5 x Illuminate\Cache\Events\CacheMissed (1.6%)
        16.87ms
        6 x creating: components.tutors-card (1.2%)
        12.59ms
        1 x Illuminate\Foundation\Events\LocaleUpdated (0.25%)
        2.59ms
        64 x eloquent.retrieved: App\Models\Subject (0.22%)
        2.31ms
        2 x Illuminate\Database\Events\ConnectionEstablished (0.11%)
        1.11ms
        1 x creating: site.blocks.reviews (0.09%)
        985μs
        1 x creating: site.blocks.subject-homework (0.08%)
        887μs
        4 x eloquent.retrieved: App\Models\Twill\TwillFaq (0.08%)
        846μs
        11 x eloquent.retrieved: App\Models\SubjectCat (0.08%)
        794μs
        1 x creating: components.breadcrumbs (0.07%)
        730μs
        1 x eloquent.booting: App\Models\User\Tutor (0.06%)
        669μs
        1 x creating: site.blocks.how-it-works (0.06%)
        668μs
        1 x eloquent.booting: App\Models\User\TutorAttributes\TutorDegree (0.06%)
        610μs
        6 x eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (0.06%)
        588μs
        1 x Illuminate\Routing\Events\Routing (0.06%)
        586μs
        4 x creating: components.faq-item (0.05%)
        573μs
        6 x composing: components.tutors-card (0.04%)
        431μs
        1 x creating: components.canonical (0.04%)
        383μs
        4 x composing: components.faq-item (0.04%)
        383μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)
        340μs
        1 x creating: site.headers.header (0.03%)
        328μs
        1 x creating: subjects.show (0.03%)
        323μs
        1 x creating: site.blocks.text-with-image (0.03%)
        305μs
        1 x creating: components.forms.contact-us (0.03%)
        298μs
        1 x creating: components.homework-blocks (0.03%)
        285μs
        1 x creating: components.forms.get-started (0.03%)
        270μs
        1 x eloquent.booted: App\Models\User\Tutor (0.03%)
        267μs
        1 x creating: site.blocks.submit-homework (0.02%)
        262μs
        1 x Illuminate\Routing\Events\RouteMatched (0.02%)
        246μs
        6 x eloquent.retrieved: App\Models\User\Tutor (0.02%)
        243μs
        1 x creating: site.layouts.app (0.02%)
        236μs
        1 x eloquent.booting: App\Models\Twill\Slugs\TwillFaqSlug (0.02%)
        220μs
        6 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.02%)
        217μs
        1 x composing: subjects.show (0.02%)
        211μs
        1 x creating: site.blocks.work-with-tutors (0.02%)
        196μs
        1 x composing: components.forms.contact-us (0.02%)
        189μs
        1 x composing: components.breadcrumbs (0.02%)
        187μs
        1 x eloquent.booting: App\Models\Subject (0.02%)
        186μs
        1 x creating: components.tutors-cards (0.02%)
        184μs
        1 x eloquent.booting: App\Models\Meta (0.02%)
        175μs
        1 x eloquent.booted: App\Models\Twill\TwillFaq (0.02%)
        170μs
        1 x creating: components.open-graph (0.01%)
        157μs
        1 x eloquent.booting: App\Models\Twill\TwillFaq (0.01%)
        155μs
        1 x creating: components.footer (0.01%)
        150μs
        1 x creating: components.forms.free-tool-download (0.01%)
        137μs
        1 x creating: site.blocks.subject-tutors (0.01%)
        131μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.01%)
        126μs
        1 x composing: components.footer (0.01%)
        124μs
        1 x composing: components.homework-blocks (0.01%)
        118μs
        1 x creating: site.blocks.faq (0.01%)
        111μs
        1 x creating: components.forms.tutor-subscription-join (0.01%)
        106μs
        1 x composing: components.forms.get-started (0.01%)
        103μs
        1 x creating: components.forms.claim-free-worksheet (0.01%)
        102μs
        1 x eloquent.booting: App\Models\SubjectCat (0.01%)
        97μs
        1 x composing: components.canonical (0.01%)
        97μs
        1 x creating: components.forms.tutor-subscription-waitlist (0.01%)
        97μs
        1 x creating: components.forms.tutor-support (0.01%)
        89μs
        1 x eloquent.retrieved: App\Models\Meta (0.01%)
        85μs
        1 x composing: components.tutors-cards (0.01%)
        84μs
        1 x composing: site.headers.header (0.01%)
        79μs
        1 x composing: site.blocks.subject-tutors (0.01%)
        78μs
        1 x eloquent.booted: App\Models\Twill\Slugs\TwillFaqSlug (0.01%)
        76μs
        1 x composing: components.open-graph (0.01%)
        70μs
        1 x composing: components.forms.free-tool-download (0.01%)
        68μs
        1 x composing: components.forms.claim-free-worksheet (0.01%)
        65μs
        1 x composing: components.forms.tutor-support (0.01%)
        65μs
        1 x composing: components.forms.tutor-subscription-waitlist (0.01%)
        64μs
        1 x composing: components.forms.tutor-subscription-join (0.01%)
        64μs
        1 x eloquent.booted: App\Models\Meta (0.01%)
        60μs
        1 x eloquent.booted: App\Models\SubjectCat (0.01%)
        57μs
        1 x eloquent.booted: App\Models\Subject (0%)
        49μs
        1 x eloquent.booted: App\Models\User\TutorAttributes\TutorDegree (0%)
        44μs
        1 x composing: site.blocks.subject-homework (0%)
        36μs
        1 x composing: site.blocks.reviews (0%)
        23μs
        1 x composing: site.blocks.submit-homework (0%)
        22μs
        1 x composing: site.blocks.text-with-image (0%)
        21μs
        1 x composing: site.blocks.how-it-works (0%)
        21μs
        1 x composing: site.blocks.work-with-tutors (0%)
        21μs
        1 x composing: site.layouts.app (0%)
        20μs
        1 x composing: site.blocks.faq (0%)
        18μs
      34 templates were rendered
      • 1x subjects.showshow.blade.phpblade
      • 1x components.breadcrumbsbreadcrumbs.blade.phpblade
      • 1x site.blocks.how-it-workshow-it-works.blade.phpblade
      • 1x site.blocks.subject-tutorssubject-tutors.blade.phpblade
      • 1x components.tutors-cardstutors-cards.blade.phpblade
      • 6x components.tutors-cardtutors-card.blade.phpblade
      • 1x site.blocks.subject-homeworksubject-homework.blade.phpblade
      • 1x components.homework-blockshomework-blocks.blade.phpblade
      • 1x site.blocks.reviewsreviews.blade.phpblade
      • 1x site.blocks.submit-homeworksubmit-homework.blade.phpblade
      • 1x site.blocks.faqfaq.blade.phpblade
      • 4x components.faq-itemfaq-item.blade.phpblade
      • 1x site.blocks.text-with-imagetext-with-image.blade.phpblade
      • 1x site.blocks.work-with-tutorswork-with-tutors.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 subjects/{categoryUri}/{subjectUri?}
      middleware
      web, utm.parameters
      controller
      App\Http\Controllers\SubjectController@show
      namespace
      where
      as
      subjects.show
      file
      app/Http/Controllers/SubjectController.php:43-96
      28 statements were executed, 4 of which were duplicates, 24 unique. Show only duplicated142ms
      • Connection Establishedtwenty4_siteSubjectRepository.php#123
        Backtrace
        • 13. app/Repositories/SubjectRepository.php:123
        • 14. app/Http/Controllers/SubjectController.php:54
        • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • select * from `subjects` where `urlFriendlyTitle` = 'MATLAB-for-Computer-Science' limit 1
        6.32mstwenty4_siteSubjectRepository.php#123
        Bindings
        • 0: MATLAB-for-Computer-Science
        Backtrace
        • 15. app/Repositories/SubjectRepository.php:123
        • 16. app/Http/Controllers/SubjectController.php:54
        • 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
      • select * from `subject_cats` where `subject_cats`.`id` in (3)
        1.06mstwenty4_siteSubjectRepository.php#123
        Backtrace
        • 20. app/Repositories/SubjectRepository.php:123
        • 21. app/Http/Controllers/SubjectController.php:54
        • 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
      • select * from `meta` where `meta`.`id` = 3 limit 1
        1.05mstwenty4_siteMetaService.php#118
        Bindings
        • 0: 3
        Backtrace
        • 19. app/Services/MetaService.php:118
        • 20. app/Services/MetaService.php:108
        • 21. app/Services/MetaService.php:81
        • 22. app/Http/Controllers/SubjectController.php:89
        • 23. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • Connection Establishedtwenty4_siteTutorRepository.php#40
        Backtrace
        • 13. app/Repositories/TutorRepository.php:40
        • 14. app/View/Components/TutorsCards.php:28
        • 15. app/View/Components/TutorsCards.php:22
        • 17. vendor/laravel/framework/src/Illuminate/Container/Container.php:929
        • 18. vendor/laravel/framework/src/Illuminate/Container/Container.php:770
      • select count(*) as aggregate from `users` where (`subjectsQualified` like '%|394|%' or `DSF_subjectsQualified` like '%|394|%' or `allsubjects` = 1) and `disable_profile` = 0 and `picture` != '' and `solutionrequestQualified` = 1 and `is_suspended` = 0 and `is_deactivated` = 0 and `status` != '' and `status` = 'tutor'
        21.81mstwenty4_siteTutorsCards.php#35
        Bindings
        • 0: %|394|%
        • 1: %|394|%
        • 2: 1
        • 3: 0
        • 4: 
        • 5: 1
        • 6: 0
        • 7: 0
        • 8: 
        • 9: tutor
        Backtrace
        • 15. app/View/Components/TutorsCards.php:35
        • 16. app/View/Components/TutorsCards.php:22
        • 18. vendor/laravel/framework/src/Illuminate/Container/Container.php:929
        • 19. vendor/laravel/framework/src/Illuminate/Container/Container.php:770
        • 20. vendor/laravel/framework/src/Illuminate/Foundation/Application.php:933
      • select * from `users` where (`subjectsQualified` like '%|394|%' or `DSF_subjectsQualified` like '%|394|%' or `allsubjects` = 1) and `disable_profile` = 0 and `picture` != '' and `solutionrequestQualified` = 1 and `is_suspended` = 0 and `is_deactivated` = 0 and `status` != '' and `status` = 'tutor' order by `completed_requests` desc limit 6 offset 0
        13.05mstwenty4_siteTutorsCards.php#35
        Bindings
        • 0: %|394|%
        • 1: %|394|%
        • 2: 1
        • 3: 0
        • 4: 
        • 5: 1
        • 6: 0
        • 7: 0
        • 8: 
        • 9: tutor
        Backtrace
        • 15. app/View/Components/TutorsCards.php:35
        • 16. app/View/Components/TutorsCards.php:22
        • 18. vendor/laravel/framework/src/Illuminate/Container/Container.php:929
        • 19. vendor/laravel/framework/src/Illuminate/Container/Container.php:770
        • 20. vendor/laravel/framework/src/Illuminate/Foundation/Application.php:933
      • select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 54885 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1
        970μstwenty4_siteTutor.php#361
        Bindings
        • 0: 54885
        Backtrace
        • 18. app/Models/User/Tutor.php:361
        • 19. view::components.tutors-card:11
        • 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
      • select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 76351 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1
        9.03mstwenty4_siteTutor.php#361
        Bindings
        • 0: 76351
        Backtrace
        • 18. app/Models/User/Tutor.php:361
        • 19. view::components.tutors-card:11
        • 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
      • select * from `subject_cats` where `subject_cats`.`id` = 42 limit 1
        1mstwenty4_siteSubject.php#100
        Bindings
        • 0: 42
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 2494 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1
        8.97mstwenty4_siteTutor.php#361
        Bindings
        • 0: 2494
        Backtrace
        • 18. app/Models/User/Tutor.php:361
        • 19. view::components.tutors-card:11
        • 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
      • select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 99878 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1
        3.19mstwenty4_siteTutor.php#361
        Bindings
        • 0: 99878
        Backtrace
        • 18. app/Models/User/Tutor.php:361
        • 19. view::components.tutors-card:11
        • 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
      • select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 105692 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1
        1.99mstwenty4_siteTutor.php#361
        Bindings
        • 0: 105692
        Backtrace
        • 18. app/Models/User/Tutor.php:361
        • 19. view::components.tutors-card:11
        • 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
      • select `subjects`.*, `subject_cats`.`title` as `category_title`, `subject_cats`.`id` as `category_id` from `subjects` inner join `subject_cats` on `subject_cats`.`id` = `subjects`.`catID` where `subjects`.`id` in (18, 136, 394, 54, 251, 322, 137, 115, 166, 346, 52, 371, 49, 356, 309, 135, 489, 477, 6, 10, 396, 47, 41, 48, 325, 14, 397, 269)
        7.89mstwenty4_siteTutor.php#214
        Bindings
        • 0: 18
        • 1: 136
        • 2: 394
        • 3: 54
        • 4: 251
        • 5: 322
        • 6: 137
        • 7: 115
        • 8: 166
        • 9: 346
        • 10: 52
        • 11: 371
        • 12: 49
        • 13: 356
        • 14: 309
        • 15: 135
        • 16: 489
        • 17: 477
        • 18: 6
        • 19: 10
        • 20: 396
        • 21: 47
        • 22: 41
        • 23: 48
        • 24: 325
        • 25: 14
        • 26: 397
        • 27: 269
        Backtrace
        • 14. app/Models/User/Tutor.php:214
        • 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 18. app/Models/User/Tutor.php:216
        • 24. app/Models/User/Tutor.php:267
      • select * from `subject_cats` where `subject_cats`.`id` in (1, 3, 10, 34)
        2.47mstwenty4_siteTutor.php#214
        Backtrace
        • 19. app/Models/User/Tutor.php:214
        • 20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 23. app/Models/User/Tutor.php:216
        • 29. app/Models/User/Tutor.php:267
      • select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 92996 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1
        11.8mstwenty4_siteTutor.php#361
        Bindings
        • 0: 92996
        Backtrace
        • 18. app/Models/User/Tutor.php:361
        • 19. view::components.tutors-card:11
        • 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
      • select `subjects`.*, `subject_cats`.`title` as `category_title`, `subject_cats`.`id` as `category_id` from `subjects` inner join `subject_cats` on `subject_cats`.`id` = `subjects`.`catID` where `subjects`.`id` in (16, 56, 142, 15, 130, 128, 136, 394, 440, 72, 259, 143, 395, 34, 134, 2, 1, 127, 257, 9, 396, 68, 47, 73, 8, 48, 299, 397, 103, 200, 361, 512, 49, 129)
        7.26mstwenty4_siteTutor.php#214
        Bindings
        • 0: 16
        • 1: 56
        • 2: 142
        • 3: 15
        • 4: 130
        • 5: 128
        • 6: 136
        • 7: 394
        • 8: 440
        • 9: 72
        • 10: 259
        • 11: 143
        • 12: 395
        • 13: 34
        • 14: 134
        • 15: 2
        • 16: 1
        • 17: 127
        • 18: 257
        • 19: 9
        • 20: 396
        • 21: 68
        • 22: 47
        • 23: 73
        • 24: 8
        • 25: 48
        • 26: 299
        • 27: 397
        • 28: 103
        • 29: 200
        • 30: 361
        • 31: 512
        • 32: 49
        • 33: 129
        Backtrace
        • 14. app/Models/User/Tutor.php:214
        • 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 18. app/Models/User/Tutor.php:216
        • 24. app/Models/User/Tutor.php:267
      • select * from `subject_cats` where `subject_cats`.`id` in (1, 3, 10, 34)
        6.95mstwenty4_siteTutor.php#214
        Backtrace
        • 19. app/Models/User/Tutor.php:214
        • 20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 23. app/Models/User/Tutor.php:216
        • 29. app/Models/User/Tutor.php:267
      • select count(*) as aggregate from `solutionslibrary` where exists (select * from `subjects` where `solutionslibrary`.`subject` = `subjects`.`id`) and `subject` = 394 and `status` = 'published' and `price` > 0
        1.25mstwenty4_siteHomeworkBlocks.php#27
        Bindings
        • 0: 394
        • 1: published
        • 2: 0
        Backtrace
        • 15. app/View/Components/HomeworkBlocks.php:27
        • 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102
        • 17. view::site.blocks.subject-homework:4
        • 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • select * from `solutionslibrary` where exists (select * from `subjects` where `solutionslibrary`.`subject` = `subjects`.`id`) and `subject` = 394 and `status` = 'published' and `price` > 0 order by `purchase_count` desc limit 6 offset 0
        3.46mstwenty4_siteHomeworkBlocks.php#27
        Bindings
        • 0: 394
        • 1: published
        • 2: 0
        Backtrace
        • 15. app/View/Components/HomeworkBlocks.php:27
        • 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102
        • 17. view::site.blocks.subject-homework:4
        • 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • select * from `subjects` where `subjects`.`id` in (394)
        1.25mstwenty4_siteHomeworkBlocks.php#27
        Backtrace
        • 20. app/View/Components/HomeworkBlocks.php:27
        • 21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
        • 22. view::site.blocks.subject-homework:4
        • 24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • select * from `subject_cats` where `subject_cats`.`id` in (3)
        1.09mstwenty4_siteHomeworkBlocks.php#27
        Backtrace
        • 25. app/View/Components/HomeworkBlocks.php:27
        • 26. vendor/laravel/framework/src/Illuminate/View/Component.php:102
        • 27. view::site.blocks.subject-homework:4
        • 29. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 30. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'can-you-help-me-with-my-homework-in-less-than-24-hours' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1
        9.23mstwenty4_siteFaqItem.php#15
        Bindings
        • 0: can-you-help-me-with-my-homework-in-less-than-24-hours
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        Backtrace
        • 15. app/View/Components/FaqItem.php:15
        • 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102
        • 17. view::site.blocks.faq:7
        • 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (1) and `twill_faq_slugs`.`deleted_at` is null
        1.72mstwenty4_siteFaqItem.php#15
        Backtrace
        • 20. app/View/Components/FaqItem.php:15
        • 21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
        • 22. view::site.blocks.faq:7
        • 24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'can-you-help-me-with-my-examquiztest' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1
        1.21mstwenty4_siteFaqItem.php#15
        Bindings
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        Backtrace
        • 15. app/View/Components/FaqItem.php:15
        • 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102
        • 17. view::site.blocks.faq:24
        • 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (2) and `twill_faq_slugs`.`deleted_at` is null
        1.17mstwenty4_siteFaqItem.php#15
        Backtrace
        • 20. app/View/Components/FaqItem.php:15
        • 21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
        • 22. view::site.blocks.faq:24
        • 24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'how-much-will-it-cost' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1
        4.92mstwenty4_siteFaqItem.php#15
        Bindings
        • 0: how-much-will-it-cost
        • 1: 1
        • 2: en
        Backtrace
        • 15. app/View/Components/FaqItem.php:15
        • 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102
        • 17. view::site.blocks.faq:41
        • 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (3) and `twill_faq_slugs`.`deleted_at` is null
        6.37mstwenty4_siteFaqItem.php#15
        Backtrace
        • 20. app/View/Components/FaqItem.php:15
        • 21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
        • 22. view::site.blocks.faq:41
        • 24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'what-kind-of-payments-do-you-accept' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1
        1.4mstwenty4_siteFaqItem.php#15
        Bindings
        • 0: what-kind-of-payments-do-you-accept
        • 1: 1
        • 2: en
        Backtrace
        • 15. app/View/Components/FaqItem.php:15
        • 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102
        • 17. view::site.blocks.faq:58
        • 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (4) and `twill_faq_slugs`.`deleted_at` is null
        3.66mstwenty4_siteFaqItem.php#15
        Backtrace
        • 20. app/View/Components/FaqItem.php:15
        • 21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
        • 22. view::site.blocks.faq:58
        • 24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
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