Add scheduling, machine info, caching strategies and devices (#9)
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Reviewed-on: Rubydragon/MetagraphOptimization.jl#9
Co-authored-by: Anton Reinhard <anton.reinhard@proton.me>
Co-committed-by: Anton Reinhard <anton.reinhard@proton.me>
This commit is contained in:
2023-10-12 17:51:03 +02:00
committed by Anton Reinhard
parent bd6c54c1ae
commit 5a30f57e1f
72 changed files with 3397 additions and 987 deletions

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@ -1,3 +1,4 @@
[deps]
QEDbase = "10e22c08-3ccb-4172-bfcf-7d7aa3d04d93"
Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"

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@ -2,7 +2,7 @@ using Random
function test_known_graph(name::String, n, fusion_test = true)
@testset "Test $name Graph ($n)" begin
graph = parse_abc(joinpath(@__DIR__, "..", "input", "$name.txt"))
graph = parse_dag(joinpath(@__DIR__, "..", "input", "$name.txt"), ABCModel())
props = get_properties(graph)
if (fusion_test)

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@ -5,51 +5,51 @@ import MetagraphOptimization.make_node
@testset "Unit Tests Node Reduction" begin
graph = MetagraphOptimization.DAG()
d_exit = insert_node!(graph, make_node(DataTask(10)), false)
d_exit = insert_node!(graph, make_node(DataTask(10)), track = false)
s0 = insert_node!(graph, make_node(ComputeTaskS2()), false)
s0 = insert_node!(graph, make_node(ComputeTaskS2()), track = false)
ED = insert_node!(graph, make_node(DataTask(3)), false)
FD = insert_node!(graph, make_node(DataTask(3)), false)
ED = insert_node!(graph, make_node(DataTask(3)), track = false)
FD = insert_node!(graph, make_node(DataTask(3)), track = false)
EC = insert_node!(graph, make_node(ComputeTaskV()), false)
FC = insert_node!(graph, make_node(ComputeTaskV()), false)
EC = insert_node!(graph, make_node(ComputeTaskV()), track = false)
FC = insert_node!(graph, make_node(ComputeTaskV()), track = false)
A1D = insert_node!(graph, make_node(DataTask(4)), false)
B1D_1 = insert_node!(graph, make_node(DataTask(4)), false)
B1D_2 = insert_node!(graph, make_node(DataTask(4)), false)
C1D = insert_node!(graph, make_node(DataTask(4)), false)
A1D = insert_node!(graph, make_node(DataTask(4)), track = false)
B1D_1 = insert_node!(graph, make_node(DataTask(4)), track = false)
B1D_2 = insert_node!(graph, make_node(DataTask(4)), track = false)
C1D = insert_node!(graph, make_node(DataTask(4)), track = false)
A1C = insert_node!(graph, make_node(ComputeTaskU()), false)
B1C_1 = insert_node!(graph, make_node(ComputeTaskU()), false)
B1C_2 = insert_node!(graph, make_node(ComputeTaskU()), false)
C1C = insert_node!(graph, make_node(ComputeTaskU()), false)
A1C = insert_node!(graph, make_node(ComputeTaskU()), track = false)
B1C_1 = insert_node!(graph, make_node(ComputeTaskU()), track = false)
B1C_2 = insert_node!(graph, make_node(ComputeTaskU()), track = false)
C1C = insert_node!(graph, make_node(ComputeTaskU()), track = false)
AD = insert_node!(graph, make_node(DataTask(5)), false)
BD = insert_node!(graph, make_node(DataTask(5)), false)
CD = insert_node!(graph, make_node(DataTask(5)), false)
AD = insert_node!(graph, make_node(DataTask(5)), track = false)
BD = insert_node!(graph, make_node(DataTask(5)), track = false)
CD = insert_node!(graph, make_node(DataTask(5)), track = false)
insert_edge!(graph, s0, d_exit, false)
insert_edge!(graph, ED, s0, false)
insert_edge!(graph, FD, s0, false)
insert_edge!(graph, EC, ED, false)
insert_edge!(graph, FC, FD, false)
insert_edge!(graph, s0, d_exit, track = false)
insert_edge!(graph, ED, s0, track = false)
insert_edge!(graph, FD, s0, track = false)
insert_edge!(graph, EC, ED, track = false)
insert_edge!(graph, FC, FD, track = false)
insert_edge!(graph, A1D, EC, false)
insert_edge!(graph, B1D_1, EC, false)
insert_edge!(graph, A1D, EC, track = false)
insert_edge!(graph, B1D_1, EC, track = false)
insert_edge!(graph, B1D_2, FC, false)
insert_edge!(graph, C1D, FC, false)
insert_edge!(graph, B1D_2, FC, track = false)
insert_edge!(graph, C1D, FC, track = false)
insert_edge!(graph, A1C, A1D, false)
insert_edge!(graph, B1C_1, B1D_1, false)
insert_edge!(graph, B1C_2, B1D_2, false)
insert_edge!(graph, C1C, C1D, false)
insert_edge!(graph, A1C, A1D, track = false)
insert_edge!(graph, B1C_1, B1D_1, track = false)
insert_edge!(graph, B1C_2, B1D_2, track = false)
insert_edge!(graph, C1C, C1D, track = false)
insert_edge!(graph, AD, A1C, false)
insert_edge!(graph, BD, B1C_1, false)
insert_edge!(graph, BD, B1C_2, false)
insert_edge!(graph, CD, C1C, false)
insert_edge!(graph, AD, A1C, track = false)
insert_edge!(graph, BD, B1C_1, track = false)
insert_edge!(graph, BD, B1C_2, track = false)
insert_edge!(graph, CD, C1C, track = false)
@test is_valid(graph)

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@ -1,31 +1,177 @@
import MetagraphOptimization.A
import MetagraphOptimization.B
import MetagraphOptimization.ParticleType
import MetagraphOptimization.ABCParticle
@testset "Unit Tests Graph" begin
particles = Dict{ParticleType, Vector{Particle}}(
(
A => [
Particle(0.823648, 0.0, 0.0, 0.823648, A),
Particle(0.823648, -0.835061, -0.474802, 0.277915, A),
]
),
(
B => [
Particle(0.823648, 0.0, 0.0, -0.823648, B),
Particle(0.823648, 0.835061, 0.474802, -0.277915, B),
]
),
using QEDbase
include("../examples/profiling_utilities.jl")
@testset "Unit Tests Execution" begin
machine = get_machine_info()
process_2_2 = ABCProcessDescription(
Dict{Type, Int64}(ParticleA => 1, ParticleB => 1),
Dict{Type, Int64}(ParticleA => 1, ParticleB => 1),
)
expected_result = 5.5320567694746876e-5
particles_2_2 = ABCProcessInput(
process_2_2,
ABCParticle[
ParticleA(SFourMomentum(0.823648, 0.0, 0.0, 0.823648)),
ParticleB(SFourMomentum(0.823648, 0.0, 0.0, -0.823648)),
],
ABCParticle[
ParticleA(SFourMomentum(0.823648, -0.835061, -0.474802, 0.277915)),
ParticleB(SFourMomentum(0.823648, 0.835061, 0.474802, -0.277915)),
],
)
expected_result = 0.00013916495566048735
for _ in 1:10 # test in a loop because graph layout should not change the result
graph = parse_abc(joinpath(@__DIR__, "..", "input", "AB->AB.txt"))
@test isapprox(execute(graph, particles), expected_result; rtol = 0.001)
@testset "AB->AB no optimization" begin
for _ in 1:10 # test in a loop because graph layout should not change the result
graph = parse_dag(joinpath(@__DIR__, "..", "input", "AB->AB.txt"), ABCModel())
@test isapprox(execute(graph, process_2_2, machine, particles_2_2), expected_result; rtol = 0.001)
code = MetagraphOptimization.gen_code(graph)
@test isapprox(execute(code, particles), expected_result; rtol = 0.001)
# graph should be fully scheduled after being executed
@test is_scheduled(graph)
func = get_compute_function(graph, process_2_2, machine)
@test isapprox(func(particles_2_2), expected_result; rtol = 0.001)
end
end
@testset "AB->AB after random walk" begin
for i in 1:1000
graph = parse_dag(joinpath(@__DIR__, "..", "input", "AB->AB.txt"), ABCModel())
random_walk!(graph, 50)
@test is_valid(graph)
@test isapprox(execute(graph, process_2_2, machine, particles_2_2), expected_result; rtol = 0.001)
# graph should be fully scheduled after being executed
@test is_scheduled(graph)
end
end
process_2_4 = ABCProcessDescription(
Dict{Type, Int64}(ParticleA => 1, ParticleB => 1),
Dict{Type, Int64}(ParticleA => 1, ParticleB => 3),
)
particles_2_4 = gen_process_input(process_2_4)
graph = parse_dag(joinpath(@__DIR__, "..", "input", "AB->ABBB.txt"), ABCModel())
expected_result = execute(graph, process_2_4, machine, particles_2_4)
@testset "AB->ABBB no optimization" begin
for _ in 1:5 # test in a loop because graph layout should not change the result
graph = parse_dag(joinpath(@__DIR__, "..", "input", "AB->ABBB.txt"), ABCModel())
@test isapprox(execute(graph, process_2_4, machine, particles_2_4), expected_result; rtol = 0.001)
func = get_compute_function(graph, process_2_4, machine)
@test isapprox(func(particles_2_4), expected_result; rtol = 0.001)
end
end
@testset "AB->ABBB after random walk" begin
for i in 1:200
graph = parse_dag(joinpath(@__DIR__, "..", "input", "AB->ABBB.txt"), ABCModel())
random_walk!(graph, 100)
@test is_valid(graph)
@test isapprox(execute(graph, process_2_4, machine, particles_2_4), expected_result; rtol = 0.001)
end
end
@testset "AB->AB large sum fusion" for _ in 1:20
graph = parse_dag(joinpath(@__DIR__, "..", "input", "AB->AB.txt"), ABCModel())
# push a fusion with the sum node
ops = get_operations(graph)
for fusion in ops.nodeFusions
if isa(fusion.input[3].task, ComputeTaskSum)
push_operation!(graph, fusion)
break
end
end
# push two more fusions with the fused node
for _ in 1:15
ops = get_operations(graph)
for fusion in ops.nodeFusions
if isa(fusion.input[3].task, FusedComputeTask)
push_operation!(graph, fusion)
break
end
end
end
# try execute
@test is_valid(graph)
expected_result = 0.00013916495566048735
@test isapprox(execute(graph, process_2_2, machine, particles_2_2), expected_result; rtol = 0.001)
end
@testset "AB->AB large sum fusion" for _ in 1:20
graph = parse_dag(joinpath(@__DIR__, "..", "input", "AB->AB.txt"), ABCModel())
# push a fusion with the sum node
ops = get_operations(graph)
for fusion in ops.nodeFusions
if isa(fusion.input[3].task, ComputeTaskSum)
push_operation!(graph, fusion)
break
end
end
# push two more fusions with the fused node
for _ in 1:15
ops = get_operations(graph)
for fusion in ops.nodeFusions
if isa(fusion.input[3].task, FusedComputeTask)
push_operation!(graph, fusion)
break
end
end
end
# try execute
@test is_valid(graph)
expected_result = 0.00013916495566048735
@test isapprox(execute(graph, process_2_2, machine, particles_2_2), expected_result; rtol = 0.001)
end
@testset "AB->AB fusion edge case" for _ in 1:20
graph = parse_dag(joinpath(@__DIR__, "..", "input", "AB->AB.txt"), ABCModel())
# push two fusions with ComputeTaskV
for _ in 1:2
ops = get_operations(graph)
for fusion in ops.nodeFusions
if isa(fusion.input[1].task, ComputeTaskV)
push_operation!(graph, fusion)
break
end
end
end
# push fusions until the end
cont = true
while cont
cont = false
ops = get_operations(graph)
for fusion in ops.nodeFusions
if isa(fusion.input[1].task, FusedComputeTask)
push_operation!(graph, fusion)
cont = true
break
end
end
end
# try execute
@test is_valid(graph)
expected_result = 0.00013916495566048735
@test isapprox(execute(graph, process_2_2, machine, particles_2_2), expected_result; rtol = 0.001)
end
end
println("Execution Unit Tests Complete!")

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@ -11,104 +11,101 @@ import MetagraphOptimization.partners
@test length(graph.appliedOperations) == 0
@test length(graph.operationsToApply) == 0
@test length(graph.dirtyNodes) == 0
@test length(graph.diff) ==
(addedNodes = 0, removedNodes = 0, addedEdges = 0, removedEdges = 0)
@test length(get_operations(graph)) ==
(nodeFusions = 0, nodeReductions = 0, nodeSplits = 0)
@test length(graph.diff) == (addedNodes = 0, removedNodes = 0, addedEdges = 0, removedEdges = 0)
@test length(get_operations(graph)) == (nodeFusions = 0, nodeReductions = 0, nodeSplits = 0)
# s to output (exit node)
d_exit = insert_node!(graph, make_node(DataTask(10)), false)
d_exit = insert_node!(graph, make_node(DataTask(10)), track = false)
@test length(graph.nodes) == 1
@test length(graph.dirtyNodes) == 1
# final s compute
s0 = insert_node!(graph, make_node(ComputeTaskS2()), false)
s0 = insert_node!(graph, make_node(ComputeTaskS2()), track = false)
@test length(graph.nodes) == 2
@test length(graph.dirtyNodes) == 2
# data from v0 and v1 to s0
d_v0_s0 = insert_node!(graph, make_node(DataTask(5)), false)
d_v1_s0 = insert_node!(graph, make_node(DataTask(5)), false)
d_v0_s0 = insert_node!(graph, make_node(DataTask(5)), track = false)
d_v1_s0 = insert_node!(graph, make_node(DataTask(5)), track = false)
# v0 and v1 compute
v0 = insert_node!(graph, make_node(ComputeTaskV()), false)
v1 = insert_node!(graph, make_node(ComputeTaskV()), false)
v0 = insert_node!(graph, make_node(ComputeTaskV()), track = false)
v1 = insert_node!(graph, make_node(ComputeTaskV()), track = false)
# data from uB, uA, uBp and uAp to v0 and v1
d_uB_v0 = insert_node!(graph, make_node(DataTask(3)), false)
d_uA_v0 = insert_node!(graph, make_node(DataTask(3)), false)
d_uBp_v1 = insert_node!(graph, make_node(DataTask(3)), false)
d_uAp_v1 = insert_node!(graph, make_node(DataTask(3)), false)
d_uB_v0 = insert_node!(graph, make_node(DataTask(3)), track = false)
d_uA_v0 = insert_node!(graph, make_node(DataTask(3)), track = false)
d_uBp_v1 = insert_node!(graph, make_node(DataTask(3)), track = false)
d_uAp_v1 = insert_node!(graph, make_node(DataTask(3)), track = false)
# uB, uA, uBp and uAp computes
uB = insert_node!(graph, make_node(ComputeTaskU()), false)
uA = insert_node!(graph, make_node(ComputeTaskU()), false)
uBp = insert_node!(graph, make_node(ComputeTaskU()), false)
uAp = insert_node!(graph, make_node(ComputeTaskU()), false)
uB = insert_node!(graph, make_node(ComputeTaskU()), track = false)
uA = insert_node!(graph, make_node(ComputeTaskU()), track = false)
uBp = insert_node!(graph, make_node(ComputeTaskU()), track = false)
uAp = insert_node!(graph, make_node(ComputeTaskU()), track = false)
# data from PB, PA, PBp and PAp to uB, uA, uBp and uAp
d_PB_uB = insert_node!(graph, make_node(DataTask(6)), false)
d_PA_uA = insert_node!(graph, make_node(DataTask(6)), false)
d_PBp_uBp = insert_node!(graph, make_node(DataTask(6)), false)
d_PAp_uAp = insert_node!(graph, make_node(DataTask(6)), false)
d_PB_uB = insert_node!(graph, make_node(DataTask(6)), track = false)
d_PA_uA = insert_node!(graph, make_node(DataTask(6)), track = false)
d_PBp_uBp = insert_node!(graph, make_node(DataTask(6)), track = false)
d_PAp_uAp = insert_node!(graph, make_node(DataTask(6)), track = false)
# P computes PB, PA, PBp and PAp
PB = insert_node!(graph, make_node(ComputeTaskP()), false)
PA = insert_node!(graph, make_node(ComputeTaskP()), false)
PBp = insert_node!(graph, make_node(ComputeTaskP()), false)
PAp = insert_node!(graph, make_node(ComputeTaskP()), false)
PB = insert_node!(graph, make_node(ComputeTaskP()), track = false)
PA = insert_node!(graph, make_node(ComputeTaskP()), track = false)
PBp = insert_node!(graph, make_node(ComputeTaskP()), track = false)
PAp = insert_node!(graph, make_node(ComputeTaskP()), track = false)
# entry nodes getting data for P computes
d_PB = insert_node!(graph, make_node(DataTask(4)), false)
d_PA = insert_node!(graph, make_node(DataTask(4)), false)
d_PBp = insert_node!(graph, make_node(DataTask(4)), false)
d_PAp = insert_node!(graph, make_node(DataTask(4)), false)
d_PB = insert_node!(graph, make_node(DataTask(4)), track = false)
d_PA = insert_node!(graph, make_node(DataTask(4)), track = false)
d_PBp = insert_node!(graph, make_node(DataTask(4)), track = false)
d_PAp = insert_node!(graph, make_node(DataTask(4)), track = false)
@test length(graph.nodes) == 26
@test length(graph.dirtyNodes) == 26
# now for all the edges
insert_edge!(graph, d_PB, PB, false)
insert_edge!(graph, d_PA, PA, false)
insert_edge!(graph, d_PBp, PBp, false)
insert_edge!(graph, d_PAp, PAp, false)
insert_edge!(graph, d_PB, PB, track = false)
insert_edge!(graph, d_PA, PA, track = false)
insert_edge!(graph, d_PBp, PBp, track = false)
insert_edge!(graph, d_PAp, PAp, track = false)
insert_edge!(graph, PB, d_PB_uB, false)
insert_edge!(graph, PA, d_PA_uA, false)
insert_edge!(graph, PBp, d_PBp_uBp, false)
insert_edge!(graph, PAp, d_PAp_uAp, false)
insert_edge!(graph, PB, d_PB_uB, track = false)
insert_edge!(graph, PA, d_PA_uA, track = false)
insert_edge!(graph, PBp, d_PBp_uBp, track = false)
insert_edge!(graph, PAp, d_PAp_uAp, track = false)
insert_edge!(graph, d_PB_uB, uB, false)
insert_edge!(graph, d_PA_uA, uA, false)
insert_edge!(graph, d_PBp_uBp, uBp, false)
insert_edge!(graph, d_PAp_uAp, uAp, false)
insert_edge!(graph, d_PB_uB, uB, track = false)
insert_edge!(graph, d_PA_uA, uA, track = false)
insert_edge!(graph, d_PBp_uBp, uBp, track = false)
insert_edge!(graph, d_PAp_uAp, uAp, track = false)
insert_edge!(graph, uB, d_uB_v0, false)
insert_edge!(graph, uA, d_uA_v0, false)
insert_edge!(graph, uBp, d_uBp_v1, false)
insert_edge!(graph, uAp, d_uAp_v1, false)
insert_edge!(graph, uB, d_uB_v0, track = false)
insert_edge!(graph, uA, d_uA_v0, track = false)
insert_edge!(graph, uBp, d_uBp_v1, track = false)
insert_edge!(graph, uAp, d_uAp_v1, track = false)
insert_edge!(graph, d_uB_v0, v0, false)
insert_edge!(graph, d_uA_v0, v0, false)
insert_edge!(graph, d_uBp_v1, v1, false)
insert_edge!(graph, d_uAp_v1, v1, false)
insert_edge!(graph, d_uB_v0, v0, track = false)
insert_edge!(graph, d_uA_v0, v0, track = false)
insert_edge!(graph, d_uBp_v1, v1, track = false)
insert_edge!(graph, d_uAp_v1, v1, track = false)
insert_edge!(graph, v0, d_v0_s0, false)
insert_edge!(graph, v1, d_v1_s0, false)
insert_edge!(graph, v0, d_v0_s0, track = false)
insert_edge!(graph, v1, d_v1_s0, track = false)
insert_edge!(graph, d_v0_s0, s0, false)
insert_edge!(graph, d_v1_s0, s0, false)
insert_edge!(graph, d_v0_s0, s0, track = false)
insert_edge!(graph, d_v1_s0, s0, track = false)
insert_edge!(graph, s0, d_exit, false)
insert_edge!(graph, s0, d_exit, track = false)
@test length(graph.nodes) == 26
@test length(graph.appliedOperations) == 0
@test length(graph.operationsToApply) == 0
@test length(graph.dirtyNodes) == 26
@test length(graph.diff) ==
(addedNodes = 0, removedNodes = 0, addedEdges = 0, removedEdges = 0)
@test length(graph.diff) == (addedNodes = 0, removedNodes = 0, addedEdges = 0, removedEdges = 0)
@test is_valid(graph)
@ -135,8 +132,7 @@ import MetagraphOptimization.partners
@test length(siblings(s0)) == 1
operations = get_operations(graph)
@test length(operations) ==
(nodeFusions = 10, nodeReductions = 0, nodeSplits = 0)
@test length(operations) == (nodeFusions = 10, nodeReductions = 0, nodeSplits = 0)
@test length(graph.dirtyNodes) == 0
@test operations == get_operations(graph)
@ -157,8 +153,7 @@ import MetagraphOptimization.partners
@test length(graph.operationsToApply) == 1
@test first(graph.operationsToApply) == nf
@test length(graph.dirtyNodes) == 0
@test length(graph.diff) ==
(addedNodes = 0, removedNodes = 0, addedEdges = 0, removedEdges = 0)
@test length(graph.diff) == (addedNodes = 0, removedNodes = 0, addedEdges = 0, removedEdges = 0)
# this applies pending operations
properties = get_properties(graph)
@ -176,8 +171,7 @@ import MetagraphOptimization.partners
operations = get_operations(graph)
@test length(graph.dirtyNodes) == 0
@test length(operations) ==
(nodeFusions = 9, nodeReductions = 0, nodeSplits = 0)
@test length(operations) == (nodeFusions = 9, nodeReductions = 0, nodeSplits = 0)
@test !isempty(operations)
possibleNF = 9
@ -185,14 +179,12 @@ import MetagraphOptimization.partners
push_operation!(graph, first(operations.nodeFusions))
operations = get_operations(graph)
possibleNF = possibleNF - 1
@test length(operations) ==
(nodeFusions = possibleNF, nodeReductions = 0, nodeSplits = 0)
@test length(operations) == (nodeFusions = possibleNF, nodeReductions = 0, nodeSplits = 0)
end
@test isempty(operations)
@test length(operations) ==
(nodeFusions = 0, nodeReductions = 0, nodeSplits = 0)
@test length(operations) == (nodeFusions = 0, nodeReductions = 0, nodeSplits = 0)
@test length(graph.dirtyNodes) == 0
@test length(graph.nodes) == 6
@test length(graph.appliedOperations) == 10
@ -213,8 +205,7 @@ import MetagraphOptimization.partners
@test properties.computeIntensity 28 / 62
operations = get_operations(graph)
@test length(operations) ==
(nodeFusions = 10, nodeReductions = 0, nodeSplits = 0)
@test length(operations) == (nodeFusions = 10, nodeReductions = 0, nodeSplits = 0)
@test is_valid(graph)
end

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@ -3,8 +3,7 @@
nC1 = MetagraphOptimization.make_node(MetagraphOptimization.ComputeTaskU())
nC2 = MetagraphOptimization.make_node(MetagraphOptimization.ComputeTaskV())
nC3 = MetagraphOptimization.make_node(MetagraphOptimization.ComputeTaskP())
nC4 =
MetagraphOptimization.make_node(MetagraphOptimization.ComputeTaskSum())
nC4 = MetagraphOptimization.make_node(MetagraphOptimization.ComputeTaskSum())
nD1 = MetagraphOptimization.make_node(MetagraphOptimization.DataTask(10))
nD2 = MetagraphOptimization.make_node(MetagraphOptimization.DataTask(20))

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@ -5,9 +5,7 @@
@test MetagraphOptimization.bytes_to_human_readable(1025) == "1.001 KiB"
@test MetagraphOptimization.bytes_to_human_readable(684235) == "668.2 KiB"
@test MetagraphOptimization.bytes_to_human_readable(86214576) == "82.22 MiB"
@test MetagraphOptimization.bytes_to_human_readable(9241457698) ==
"8.607 GiB"
@test MetagraphOptimization.bytes_to_human_readable(3218598654367) ==
"2.927 TiB"
@test MetagraphOptimization.bytes_to_human_readable(9241457698) == "8.607 GiB"
@test MetagraphOptimization.bytes_to_human_readable(3218598654367) == "2.927 TiB"
end
println("Utility Unit Tests Complete!")