Complex DB Reports (SQL, Stored Procedures, Relational Algebra)

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Price-to-Performance Efficiency Analysis

Report on which builds have the most computing power per dollar spent using a "price-to-performance index" calculated with the following formula:

• (CPU Cores * CPU Base Clock) + (GPU VRAM * 100)

WITH cpu_per_build AS (
    SELECT 
        b.id AS build_id,
        c.name AS cpu_model,
        cpu.cores,
        cpu.base_clock
    FROM build b
    JOIN build_component bc ON b.id = bc.build_id
    JOIN components c ON bc.component_id = c.id
    JOIN cpu ON c.id = cpu.component_id
    WHERE c.type = 'CPU'
),
gpu_per_build AS (
    SELECT 
        b.id AS build_id,
        c.name AS gpu_model,
        gpu.vram
    FROM build b
    JOIN build_component bc ON b.id = bc.build_id
    JOIN components c ON bc.component_id = c.id
    JOIN gpu ON c.id = gpu.component_id
    WHERE c.type = 'GPU'
)

SELECT 
    b.name AS build_name,
    cpu.cpu_model,
    gpu.gpu_model,
    b.total_price,
    (cpu.cores * cpu.base_clock + gpu.vram * 100) AS performance_score,
    ROUND(
        (cpu.cores * cpu.base_clock + gpu.vram * 100), 
        4
    ) AS price_to_performance_index
FROM build b
JOIN cpu_per_build cpu ON b.id = cpu.build_id
JOIN gpu_per_build gpu ON b.id = gpu.build_id
WHERE b.total_price > 0
ORDER BY price_to_performance_index DESC
LIMIT 20;

cpu_per_build =
π_{b.id → build_id,
   c.name → cpu_model,
   cpu.cores,
   cpu.base_clock
} (
  σ_{c.type = 'CPU'} (
    (((build b
      ⋈_{b.id = bc.build_id} build_component bc)
      ⋈_{bc.component_id = c.id} components c)
      ⋈_{c.id = cpu.component_id} cpu)
  )
)

gpu_per_build =
π_{b.id → build_id,
   c.name → gpu_model,
   gpu.vram
} (
  σ_{c.type = 'GPU'} (
    (((build b
      ⋈_{b.id = bc.build_id} build_component bc)
      ⋈_{bc.component_id = c.id} components c)
      ⋈_{c.id = gpu.component_id} gpu)
  )
)

λ_20 (
  τ_{price_to_performance_index DESC} (
    π_{b.name → build_name,
      cpu.cpu_model,
      gpu.gpu_model,
      b.total_price,
      (cpu.cores * cpu.base_clock + gpu.vram * 100) → performance_score,
      ROUND((cpu.cores * cpu.base_clock + gpu.vram * 100), 4) → price_to_performance_index
    } (
      σ_{b.total_price > 0} (
        ((build b
          ⋈_{b.id = cpu.build_id} cpu_per_build cpu)
          ⋈_{b.id = gpu.build_id} gpu_per_build gpu)
      )
    )
  )
)