Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, F

Time bar (total: 1.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample578.0ms (43.1%)

Memory
34.3MiB live, 779.3MiB allocated
Samples
317.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 156.0ms
ival-mult: 141.0ms (90.2% of total)
ival-true: 6.0ms (3.8% of total)
exact: 5.0ms (3.2% of total)
ival-assert: 3.0ms (1.9% of total)
Bogosity

explain87.0ms (6.5%)

Memory
11.0MiB live, 45.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (*.f64 x #s(literal 27 binary64)) y)
00-0-#s(literal 27 binary64)
00-0-y
00-0-(*.f64 x #s(literal 27 binary64))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
18.0ms512×0valid
Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 6.0ms (81.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess39.0ms (2.9%)

Memory
-18.4MiB live, 18.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01333
14425
211125
329025
437325
539325
055
075
1115
2185
3205
0205
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
Outputs
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
(*.f64 y (*.f64 #s(literal 27 binary64) x))
Symmetry

(negabs y)

(negabs x)

(sort x y)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.2%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 27 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
11111
21811
32011
02011
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
(*.f64 x #s(literal 27 binary64))
x
#s(literal 27 binary64)
y
Outputs
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
(*.f64 y (*.f64 #s(literal 27 binary64) x))
(*.f64 x #s(literal 27 binary64))
(*.f64 #s(literal 27 binary64) x)
x
#s(literal 27 binary64)
y

localize13.0ms (0.9%)

Memory
12.8MiB live, 12.8MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x #s(literal 27 binary64))
accuracy0.2109375
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
Samples
9.0ms256×0valid
Compiler

Compiled 24 to 12 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 3.0ms (86.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.3%)

Memory
4.0MiB live, 4.0MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
(*.f64 x #s(literal 27 binary64))
Outputs
(* 27 (* x y))
(* 27 x)
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
((* (* x 27) y) (* x 27))
1.0ms
x
@-inf
((* (* x 27) y) (* x 27))
1.0ms
x
@inf
((* (* x 27) y) (* x 27))
1.0ms
y
@inf
((* (* x 27) y) (* x 27))
0.0ms
y
@0
((* (* x 27) y) (* x 27))

simplify2.0ms (0.2%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
1108
2168
3178
0178
Stop Event
iter limit
saturated
Counts
2 → 2
Calls
Call 1
Inputs
(* 27 (* x y))
(* 27 x)
Outputs
(* 27 (* x y))
(*.f64 (*.f64 y x) #s(literal 27 binary64))
(* 27 x)
(*.f64 #s(literal 27 binary64) x)

rewrite203.0ms (15.2%)

Memory
-39.5MiB live, 13.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1118
2188
3208
0208
Stop Event
iter limit
saturated
iter limit
Counts
2 → 8
Calls
Call 1
Inputs
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
(*.f64 x #s(literal 27 binary64))
Outputs
(*.f64 (*.f64 y x) #s(literal 27 binary64))
(*.f64 (*.f64 y #s(literal 27 binary64)) x)
(*.f64 y (*.f64 #s(literal 27 binary64) x))
(*.f64 (*.f64 #s(literal 27 binary64) x) y)
(*.f64 #s(literal 27 binary64) (*.f64 y x))
(*.f64 x (*.f64 y #s(literal 27 binary64)))
(*.f64 #s(literal 27 binary64) x)
(*.f64 x #s(literal 27 binary64))

eval1.0ms (0.1%)

Memory
1.4MiB live, 1.4MiB allocated
Compiler

Compiled 60 to 20 computations (66.7% saved)

prune2.0ms (0.1%)

Memory
2.2MiB live, 2.2MiB allocated
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New8210
Fresh000
Picked011
Done000
Total8311
Accuracy
100.0%
Counts
11 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(*.f64 (*.f64 y x) #s(literal 27 binary64))
99.7%
(*.f64 (*.f64 y #s(literal 27 binary64)) x)
99.7%
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
Compiler

Compiled 15 to 15 computations (0% saved)

simplify3.0ms (0.2%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 (*.f64 y x) #s(literal 27 binary64))
cost-diff0
(*.f64 y #s(literal 27 binary64))
cost-diff0
(*.f64 (*.f64 y #s(literal 27 binary64)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0722
01122
11922
22122
02122
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 y #s(literal 27 binary64)) x)
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
x
(*.f64 (*.f64 y x) #s(literal 27 binary64))
(*.f64 y x)
y
x
#s(literal 27 binary64)
Outputs
(*.f64 (*.f64 y #s(literal 27 binary64)) x)
(*.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 y #s(literal 27 binary64))
(*.f64 #s(literal 27 binary64) y)
y
#s(literal 27 binary64)
x
(*.f64 (*.f64 y x) #s(literal 27 binary64))
(*.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal 27 binary64)

localize17.0ms (1.3%)

Memory
18.0MiB live, 18.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y x)
accuracy0.232753759768442
(*.f64 (*.f64 y x) #s(literal 27 binary64))
accuracy0.0
(*.f64 y #s(literal 27 binary64))
accuracy0.1953125
(*.f64 (*.f64 y #s(literal 27 binary64)) x)
Samples
13.0ms256×0valid
Compiler

Compiled 46 to 16 computations (65.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 6.0ms (98.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.3%)

Memory
4.0MiB live, 4.0MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 (*.f64 y #s(literal 27 binary64)) x)
(*.f64 y #s(literal 27 binary64))
(*.f64 (*.f64 y x) #s(literal 27 binary64))
(*.f64 y x)
Outputs
(* 27 (* x y))
(* x y)
(* 27 y)
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@inf
((* (* y 27) x) (* y 27) (* (* y x) 27) (* y x))
1.0ms
y
@-inf
((* (* y 27) x) (* y 27) (* (* y x) 27) (* y x))
1.0ms
x
@-inf
((* (* y 27) x) (* y 27) (* (* y x) 27) (* y x))
0.0ms
y
@0
((* (* y 27) x) (* y 27) (* (* y x) 27) (* y x))
0.0ms
x
@0
((* (* y 27) x) (* y 27) (* (* y x) 27) (* y x))

simplify166.0ms (12.4%)

Memory
-32.9MiB live, 2.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
11111
21611
01611
Stop Event
iter limit
saturated
Counts
3 → 3
Calls
Call 1
Inputs
(* 27 (* x y))
(* x y)
(* 27 y)
Outputs
(* 27 (* x y))
(*.f64 (*.f64 x y) #s(literal 27 binary64))
(* x y)
(*.f64 x y)
(* 27 y)
(*.f64 #s(literal 27 binary64) y)

rewrite6.0ms (0.4%)

Memory
4.0MiB live, 4.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0716
01116
11916
22116
02116
Stop Event
iter limit
saturated
iter limit
Counts
4 → 16
Calls
Call 1
Inputs
(*.f64 (*.f64 y #s(literal 27 binary64)) x)
(*.f64 y #s(literal 27 binary64))
(*.f64 (*.f64 y x) #s(literal 27 binary64))
(*.f64 y x)
Outputs
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
(*.f64 (*.f64 x y) #s(literal 27 binary64))
(*.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 (*.f64 #s(literal 27 binary64) y) x)
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 y (*.f64 x #s(literal 27 binary64)))
(*.f64 #s(literal 27 binary64) y)
(*.f64 y #s(literal 27 binary64))
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
(*.f64 (*.f64 x y) #s(literal 27 binary64))
(*.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 (*.f64 #s(literal 27 binary64) y) x)
(*.f64 #s(literal 27 binary64) (*.f64 x y))
(*.f64 y (*.f64 x #s(literal 27 binary64)))
(*.f64 x y)
(*.f64 y x)

eval1.0ms (0.1%)

Memory
1.7MiB live, 1.7MiB allocated
Compiler

Compiled 79 to 25 computations (68.4% saved)

prune3.0ms (0.2%)

Memory
3.5MiB live, 3.5MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New13013
Fresh000
Picked022
Done011
Total13316
Accuracy
100.0%
Counts
16 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(*.f64 (*.f64 y x) #s(literal 27 binary64))
99.7%
(*.f64 (*.f64 y #s(literal 27 binary64)) x)
99.7%
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
Compiler

Compiled 30 to 24 computations (20% saved)

regimes7.0ms (0.5%)

Memory
10.0MiB live, 10.0MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
(*.f64 (*.f64 y #s(literal 27 binary64)) x)
(*.f64 (*.f64 y x) #s(literal 27 binary64))
Outputs
(*.f64 (*.f64 y #s(literal 27 binary64)) x)
Calls

4 calls:

2.0ms
(*.f64 x #s(literal 27 binary64))
2.0ms
y
2.0ms
x
1.0ms
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1(*.f64 (*.f64 x #s(literal 27 binary64)) y)
99.7%1(*.f64 x #s(literal 27 binary64))
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes4.0ms (0.3%)

Memory
8.3MiB live, 8.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
Outputs
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
Calls

4 calls:

1.0ms
(*.f64 x #s(literal 27 binary64))
1.0ms
y
1.0ms
x
1.0ms
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1(*.f64 (*.f64 x #s(literal 27 binary64)) y)
99.7%1(*.f64 x #s(literal 27 binary64))
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify7.0ms (0.5%)

Memory
8.9MiB live, 8.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 y #s(literal 27 binary64)) x)
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
Outputs
(*.f64 (*.f64 y #s(literal 27 binary64)) x)
(*.f64 (*.f64 x #s(literal 27 binary64)) y)

soundness40.0ms (3%)

Memory
-33.2MiB live, 3.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1118
2188
3208
0208
Stop Event
done
iter limit
saturated
iter limit
Compiler

Compiled 20 to 14 computations (30% saved)

preprocess151.0ms (11.3%)

Memory
32.1MiB live, 232.5MiB allocated
Remove

(negabs y)

Compiler

Compiled 130 to 124 computations (4.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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