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StrongScalingPairScenario

Statistics scenarios · Implementation: mlsysim/engine/scenario_definitions/statistics.py.

Construct this scenario with keyword inputs. The fields below show the types and defaults declared by this class.

The same fixed job on base_devices and on scaled_devices: speedup, ideal time, and efficiency.

Strong-scaling efficiency is base time over (device ratio times scaled time).

Notes

Equation: The calculation members below define device_ratio, speedup, ideal_time, efficiency.

Assumptions: Both durations describe the same fixed job; ideal scaling divides time by device-count growth.

Excludes: Weak scaling, changed accuracy targets, and attribution of overhead to specific mechanisms.

References

Derivation: The same fixed job on base_devices and on scaled_devices: speedup, ideal time, and efficiency. Each member records the corresponding algebra or named physics function.

Examples

Evaluate the named configuration and display a modeled result.

>>> from mlsysim import Scenarios
>>> case = Scenarios.ImageClassifierEightGpuScaling
>>> value = case.efficiency
>>> print(f"{value:.3g}")
0.75

Attributes

Name Description
base_devices
base_time
device_ratio Scaled device count divided by baseline count, dimensionless.
efficiency Observed speedup divided by device-count growth, dimensionless.
ideal_time Ideal scaled duration in baseline-time units, assuming linear speedup.
scaled_devices
scaled_time
speedup Baseline elapsed time divided by scaled elapsed time for the fixed job.

base_devices

Type: int.

Declared default: required.

base_time

Type: Quantity.

Declared default: required.

scaled_devices

Type: int.

Declared default: required.

scaled_time

Type: Quantity.

Declared default: required.

device_ratio

engine.scenario_types.StrongScalingPairScenario.device_ratio

Scaled device count divided by baseline count, dimensionless.

Equation: scaled_devices / base_devices.

speedup

engine.scenario_types.StrongScalingPairScenario.speedup

Baseline elapsed time divided by scaled elapsed time for the fixed job.

Equation: (base_time / scaled_time).to('').magnitude.

ideal_time

engine.scenario_types.StrongScalingPairScenario.ideal_time

Ideal scaled duration in baseline-time units, assuming linear speedup.

Equation: (base_time / device_ratio).to(base_time.units).

efficiency

engine.scenario_types.StrongScalingPairScenario.efficiency

Observed speedup divided by device-count growth, dimensionless.

Equation: speedup / device_ratio.

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