ExecTiming

An advanced timer for Python that makes it easy to determine execution times.

Python has a built-in package named timeit which provides a way to "Measure execution time of small code snippets." It can be great for quick tests, but lacks more expansive features like curve fitting, statistical information, and the ability to use in existing projects. ExecTiming seeks to change that by including most of the features of timeit and adding many more like decorators, argument calling and replacement, best-fit-curve determination, and in-project use.

Features

• StaticTimer which provides the ability to time functions via a decorator, strings, or just seeing the amount of time elapsed between a call to .start_elapsed() and elapsed()
• Timer which gives a way to log measured times and then display statistical data, perform curve-fitting for functions with parameters as the independent variables and the measured time as the dependent variable, and all the features the StaticTimer has.
• All output can be re-directed by changing output_stream, which can be any file-like object or anything with a .write() method.
• A wrapper for logging.info and logging.debug is included to redirect output to those sources
• Measured times can be displayed in seconds s, milliseconds ms, microseconds us, or nanoseconds ns.
• The same block can be executed multiple times to get a more accurate reading. This is done by setting iterations_per_run. After that many iterations, the elapsed time is measured.
• Multiple runs can be carried out and averaged to remove outlying results.

Wiki

Glossary

• Installation
• Decorator
• Time Strings
• Statistics & Best Fit Curve
• Plotting

Installation

pip install exectiming

For full functionality:

• scipy - for best-fit-curve
• scikit-learn - for best-fit-curve
• numpy - for best-fit-curve
• matplotlib - for plotting

However, if plotting and curve fitting are not needed, then the dependencies can be ignored.

pip install --no-deps exectiming

Static decorate

from exectiming.exectiming import StaticTimer
from random import randint

@StaticTimer.decorate(runs=5, average_runs=False, call_callable_args=True, log_arguments=True)
def factorial(n):
    if n == 1:
        return 1
    else:
        return n * factorial.__wrapped__(n-1)

factorial(lambda: randint(3, 40))
#    0.01663 ms - factorial(33) ... [runs=  1, iterations=  1] | Run 1
#    0.00544 ms - factorial(19) ... [runs=  1, iterations=  1] | Run 2
#    0.00736 ms - factorial(28) ... [runs=  1, iterations=  1] | Run 3
#    0.00448 ms - factorial(17) ... [runs=  1, iterations=  1] | Run 4
#    0.01087 ms - factorial(38) ... [runs=  1, iterations=  1] | Run 5

• Functions, even recursive ones, can be wrapped so that any time they are called they get timed
• You can replace arguments with functions which can be automatically called and the argument replaced to allow testing like shown above, call_callable_args=True
• Arguments show up in the output to provide more information, log_arguments=True

Static time_it

from exectiming.exectiming import StaticTimer

StaticTimer.time_it("pow(2, 64)", runs=10, iterations_per_run=10000)
#  107.10668 ms - pow(2, 64) ... [runs= 10, iterations=10000]  

StaticTimer.time_it("2**64", runs=10, iterations_per_run=10000)
#   68.75266 ms - 2**64 ... [runs= 10, iterations=10000] 

StaticTimer.time_it("1<<64", runs=10, iterations_per_run=10000)
#   65.53690 ms - 1<<64 ... [runs= 10, iterations=10000] 

• Strings can be timed
• Multiple runs can be measured then averaged together to get a more accurate result
• Anything needed names can be passed in by setting globals=, locals=, or setup=. The first two must be maps of names to objects. The second is a string that is executed once because the string block is timed.

time_it can be used to re-write the decorator above example like so:

StaticTimer.time_it(factorial, lambda: randint(3, 40), call_callable_args=True, average_runs=False, runs=5, log_arguments=True)

Assume

from exectiming.exectiming import Timer
timer = Timer()

Transformers, statistics, and best fit

@timer.decorate(runs=5, log_arguments=True, call_callable_args=True)
def bubble_sort(array):
    while True:
        switched = False
        for i in range(0, len(array)-1):
            if array[i] > array[i+1]:
                array[i], array[i+1] = array[i+1], array[i]
                switched = True

        if not switched:
            break

    return array

bubble_sort(lambda: [randint(0, 1000) for _ in range(randint(100, 5000))])

timer.output(split_index="bubble_sort", transformers={0: len})
# bubble_sort:
#     1333.19493 ms - bubble_sort(2141) ... [runs=  1, iterations=  1]                     
#     1413.75243 ms - bubble_sort(2546) ... [runs=  1, iterations=  1]                     
#     4247.70385 ms - bubble_sort(4530) ... [runs=  1, iterations=  1]                     
#       34.01533 ms - bubble_sort(421)  ... [runs=  1, iterations=  1]                     
#      675.07202 ms - bubble_sort(1752) ... [runs=  1, iterations=  1]   

timer.statistics()
# bubble_sort[runs=5, total=7703.73856 ms]:
#      Min | Max | Average = 34.01533 | 4247.70385 | 1540.74771 ms
#       Standard Deviation = 1442.66797 ms
#                 Variance = 2081.29087 ms

print(timer.best_fit_curve(transformers=len))
# ('Polynomial', {'a': 2.8042911992314363e-07, 'b': -9.670141667209306e-05, 'c': 0.024305228337961525})

• Timer stores the output until requested
• Function parameters can be transformed in the output. In the above example, transformers={0: len} indicates that the positional argument at index 0 should have its value in the output replaced by the result of calling the function with that parameter. The output otherwise would have been something like bubble_sort([1, 2, 3, 4, 5, ...])
• transformers=len is also valid as all of the arguments can be transformed with len, so there is no need to specify which index/key the function should be used for.
• Basic statistics can be displayed
• A best-fit-curve can be determined. To use this, all logged function parameters must be integers. In this case, one was an a list, so it was transformed so that the analysis was done on the length of the list, instead of the list itself.
• The resulting best fit curve is, if x=len(list), y = ax^2 + bx + c. We can extrapolate execution time using this curve to determine how long it would take to sort a list of length x=10000, which would be 0.0000002804*10000^2 - 0.0000967*10000 + 0.0243. That is 27.10 s or 27100 ms

Plotting factorial

@timer.decorate(runs=100, iterations_per_run=10, call_callable_args=True, log_arguments=True)
def factorial(n):
    if n == 1:
        return 1
    else:
        return n * factorial.__wrapped__(n-1)

factorial(lambda: randint(1, 100))
timer.plot(plot_curve=True, time_unit=timer.US, equation_rounding=5)

• .plot() provides a quick way to plot the measured times against an argument that is the independent variable
• The best fit curve and equation can be automatically determined and added by setting plot_curve=True

Plotting bubble_sort

# using bubble_sort from above, just with runs=10

bubble_sort(lambda: [randint(0, 100) for _ in range(randint(100, 2500))])
curve = timer.best_fit_curve(transformers=len)
timer.plot(transformer=len, plot_curve=True, curve=curve, x_label="List Length")

• The curve can be determined beforehand and then passed into plot()
• plot() needs transformer=len because the independent and dependent variables must be integers, so len is used to make it it one

Plotting binary_search

@timer.decorate(runs=100, iterations_per_run=5, log_arguments=True, call_callable_args=True)
def binary_search(sorted_array, element):
    lower, upper = 0, len(sorted_array)
    middle = upper // 2

    while middle >= lower and middle != upper:
        if element == sorted_array[middle]:
            return middle
        elif element > sorted_array[middle]:
            lower = middle + 1  # lower must be beyond middle because the middle wasn't right
        else:
            upper = middle - 1  # upper must be lower than the middle because the middle wasn't right

        middle = (upper + lower) // 2

    return None  # couldn't find it

binary_search(lambda: [i for i in range(randint(0, 10000))], lambda: randint(0, 10000))
timer.plot(plot_curve=True, curve=timer.best_fit_curve(exclude={1}, transformers=len), key=0,
           transformer=len, time_unit=timer.US, x_label="List Length", equation_rounding=4,
           title="Binary Search - Random Size, Random Element")

• binary_search() takes two arguments, so best_fit_curve is set to ignore the second one, at index 1, and to transform the argument at index 0 using len
• Once the curve is determined, the split must be plotted. Again, there are two arguments, so key=0 says to use the first as the independent variable and transformer=len will transform the list into an integer
• Additionally, the title and x-axis labels are specified and rounding set lower
• The equation displayed on the plot uses the timescale specified by time_unit

Plotting multiple splits

from exectiming.exectiming import Timer
from random import randint


timer = Timer()


def bubble_sort(array):
    while True:
        switched = False
        for i in range(0, len(array)-1):
            if array[i] > array[i+1]:
                array[i], array[i+1] = array[i+1], array[i]
                switched = True

        if not switched:
            break

    return array


def selection_sort(array):
    for i in range(len(array) - 1):
        # find min
        min_i = i
        for j in range(i+1, len(array)):
            if array[j] < array[min_i]:
                min_i = j

        # swap
        array[i], array[min_i] = array[min_i], array[i]

    return array


timer.time_it(bubble_sort, lambda: [randint(0, 1000) for _ in range(randint(100, 3000))], call_callable_args=True,
              log_arguments=True, runs=10)
timer.time_it(selection_sort, lambda: [randint(0, 1000) for _ in range(randint(100, 3000))], call_callable_args=True,
              log_arguments=True, runs=10)
timer.time_it(sorted, lambda: [randint(0, 1000) for _ in range(randint(100, 3000))], call_callable_args=True,
              log_arguments=True, runs=10)


bubble_sort_curve = timer.best_fit_curve("bubble_sort", transformers=len)
selection_sort_curve = timer.best_fit_curve("selection_sort", transformers=len)
sorted_curve = timer.best_fit_curve("sorted", transformers=len)

timer.plot("bubble_sort", plot_curve=True, curve=bubble_sort_curve, multiple=True, transformer=len)
timer.plot("selection_sort", plot_curve=True, curve=selection_sort_curve, multiple=True, transformer=len)
timer.plot("sorted", plot_curve=True, curve=sorted_curve, title="Sorting Algorithms", x_label="List Length",
           transformer=len)

• Multiple splits and curves can be plotted by setting multiple=True for all but the last call to .plot().
• title, x_label, and y_label of the last call will be used

TODO

• Add parameter checking to .plot() and .best_fit_curve() to make sure arguments are integers to avoid difficult to decipher errors
• Change .best_fit_curve() to allow transformers to be a callable
• Change .output() to not require split_index if transformers={0:len}. Allow transformers to be just a function, if there is only one argument, or a map or a map of a map.
• Change .sort_runs() to reflect that values don't have to be integers, they just have to be comparable. If they aren't, then a transformer is needed. This change is mainly cosmetic. (BJ - nothing actually needed changed)
• Add .predict(params, arguments) to Timer. Should basically be a pass-through call to .calculate_point() on the correct best-fit-curve
• Collapse exclude_args and exclude_kwargs down into just exclude. The difference between positional and keyword arguments can be determined as int vs. str.
• Change how coefficients are returned for BestFitLinear, maybe use x_index/key
• Add context manager
• Make scipy, numpy, and scikit-learn optional, just prohibit best_fit_curve if they aren't there
• Add graphing feature with matplotlib, Linear will only be graphed if there is a single argument
• Add the ability to sort runs so they are display in some sort of order. Maybe allow sorting by time or by an argument