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.
- Formula & worked example
- Private in your browser
- No signup
Calculator inputs
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How to use this calculator
- Enter the known values in the units shown. Results update as you type.
- Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
- Use the worked example to check the method. Reset restores the starting fields.
Private by default
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
- Cornell: Amdahl fixed-workload assumptions
- NIST measurement conversion factors
- Calculation definition and unit reference
Use exact-sign physical domains, exact discrete counts where applicable, and documented model bounds. Source arithmetic is preserved.
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