Cython-Benchmarks

Cython Benchmarks: I will be putting both Python and Cython versions of the same functions and comparing their speed and performance

Matrix Multiplication Output

Initialising arrays with dimension 1000x1000

Starting Cy...

Starting Py...

Checking arrays...

Cython: 260.85251
Python: 416.96802

Cython is 1.5985x faster than Python

Inverse Square Root (Newton-Raphson)

Starting Cy...

Starting Py...

Starting Py(native)...

Checking values...

Values:
cy: 0.09984488040208817 py:0.09999999999999999 py(native):0.1

Cython: 0.74903
Python: 309.83456
Python(native): 1.4551410675048828

Cython is 413.6499x faster than Python
Cython is 1.9427x faster than Python(native)

Factorial

Starting Cy...

Starting Py...

Checking values...

Cython: 47.38556
Python: 47.46324

Cython is 1.0016x faster than Python

_{I was honestly very surprised that these were this close with only ~0.2% improvement}

Euler Integration

Integrating function f(x)=x^2+x+1 on the interval [0,10] with 1000000 parts

Starting Cy...

Starting Py...

Checking values...

Values:
cy: 18.34343910217285 py: 18.333323333334896

Cython: 1.15893
Python: 1.55387

Cython is 1.3408x faster than Python

Root Finder (Gradient Descent hack)

Finding roots of f(x)=x^2 for 100000000 iterations with 0.0001 step size

Starting Cy...

Starting Py...

Checking values...

Values:
cy: 0.0005394796608015895 py: 9.999898849677766e-05

Cython: 39.02174
Python: 39.75569

Cython is 1.0188x faster than Python

Root Finder (Newton-Raphson)

Finding roots of f(x)=x^2-2 for 100000000 iterations with 1 step size

Starting Cy...

Starting Py...

Checking values...

Values:
cy: 1.4142135381698608

py: 1.4142135623730951

Cython: 148.43348
Python: 150.23746

Cython is 1.0122x faster than Python

Pi Calculator (Monte-Carlo)

Finding pi with 1000000000 samples
Starting Cy...

Starting Py...

cython value = 3.141520608
python value = 3.141695692

Cython: 26.15305
Python: 107.80073

Cython is 4.1219x faster than Python