Free · Measurement and planning

Fixed Workload Optimization Speedup

Estimate fixed-workload acceleration and elapsed time from optimized task fractions, with one through five disjoint task models.

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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

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Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

Formula and method

For the worked example, Speedup = 1.333333333, Improved_time = 75.00000000, time_gain_percent = 25.00000000, S_max = 2.000000000.

Speedup = 1 / ((1 − p)/O + p/s).

Worked example

Enter these known values and leave the other values blank.

Task proportion (p)
50 %
Speedup factor (s)
2
Optimization factor (O)
1
Original time
100 sec
Speedup (S)
1.3333
Improved time
75 sec
Time percentage change
25 %
Maximum speedup (Smax)
2

Assumptions and limitations

  • Fixed workload with independent fractions. Single-task maximum assumes O = 1 and unlimited acceleration of the optimized fraction.
  • Multiple task fractions must be disjoint and sum to at most one. Positive acceleration factors and durations are required.
  • Results follow the stated ideal arithmetic model. Display rounding does not change the underlying calculation.
  • Supply sufficient known values and leave the desired quantity blank. Controls retain captured inverse branches and units.
  • If a retained lock prevents a reverse calculation, unlock the quantity you want to solve before supplying the known values.
  • Domain checks operate on converted finite-precision quantities. A positive excess smaller than the arithmetic precision can round to a boundary; do not use extreme decimal precision to encode measurement uncertainty.

Common questions

What does the worked example demonstrate?

Speedup = 1 / ((1 − p)/O + p/s).

Can I change the measurement units?

Available selectors convert the entered physical quantity. Use compatible units for all related quantities.

Why can a result be blank?

A missing input, invalid denominator or underdetermined relationship cannot provide a unique finite result.

References

Use exact-sign physical domains, exact discrete counts where applicable, and documented model bounds. Source arithmetic is preserved.

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