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

Time bar (total: 45.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
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)

sample459.0ms (1%)

Memory
15.5MiB live, 575.1MiB allocated; 115ms collecting garbage
Samples
277.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 125.0ms
ival-mult!: 123.0ms (98.4% of total)
adjust: 2.0ms (1.6% of total)
Bogosity

preprocess28.0ms (0.1%)

Memory
-23.7MiB live, 22.7MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01432
13430
27230
310430
Stop Event
saturated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
Symmetry

(negabs x)

(negabs y)

(sort x y)

Compiler

Compiled 10 to 10 computations (0% saved)

series153.0ms (0.3%)

Memory
23.0MiB live, 68.9MiB allocated; 8ms collecting garbage
Counts
5 → 4
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
#s(approx (* (* x 27) y) (*.f64 #s(literal 27 binary64) (*.f64 x y)))
#s(approx (* x 27) (*.f64 #s(literal 27 binary64) x))
#s(approx x x)
#s(approx y y)
Calls

6 calls:

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

rewrite22.6s (49.4%)

Memory
62.6MiB live, 11 006.2MiB allocated; 2.2s collecting garbage
Counts
5 → 11
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 (*.f64 y #s(literal 27 binary64)) x)
(*.f64 (*.f64 y x) #s(literal 27 binary64))
(*.f64 y (*.f64 x #s(literal 27 binary64)))
(*.f64 x (*.f64 y #s(literal 27 binary64)))
(*.f64 #s(literal 27 binary64) (*.f64 y x))
(*.f64 x #s(literal 27 binary64))
(*.f64 #s(literal 27 binary64) x)
x
#s(literal 27 binary64)
y

eval1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 31 to 26 computations (16.1% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New8210
Fresh000
Picked011
Done000
Total8311
Accuracy
99.9%
Counts
11 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(*.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)

series173.0ms (0.4%)

Memory
13.3MiB live, 108.4MiB allocated; 35ms collecting garbage
Counts
7 → 5
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)
Outputs
#s(approx (* (* y 27) x) (*.f64 #s(literal 27 binary64) (*.f64 x y)))
#s(approx x x)
#s(approx (* y x) (*.f64 x y))
#s(approx (* y 27) (*.f64 #s(literal 27 binary64) y))
#s(approx y y)
Calls

6 calls:

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

rewrite22.2s (48.7%)

Memory
117.0MiB live, 12 492.2MiB allocated; 2.5s collecting garbage
Counts
7 → 19
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)
Outputs
(*.f64 (*.f64 y #s(literal 27 binary64)) x)
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
(*.f64 (*.f64 y x) #s(literal 27 binary64))
(*.f64 x (*.f64 y #s(literal 27 binary64)))
(*.f64 y (*.f64 x #s(literal 27 binary64)))
(*.f64 #s(literal 27 binary64) (*.f64 y x))
(*.f64 y #s(literal 27 binary64))
(*.f64 #s(literal 27 binary64) y)
y
#s(literal 27 binary64)
x
(*.f64 (*.f64 y #s(literal 27 binary64)) x)
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
(*.f64 (*.f64 y x) #s(literal 27 binary64))
(*.f64 x (*.f64 y #s(literal 27 binary64)))
(*.f64 y (*.f64 x #s(literal 27 binary64)))
(*.f64 #s(literal 27 binary64) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)

eval2.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 39 to 32 computations (17.9% saved)

prune3.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New12012
Fresh000
Picked022
Done011
Total12315
Accuracy
99.9%
Counts
15 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(*.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 24 to 24 computations (0% saved)

regimes15.0ms (0%)

Memory
-38.9MiB live, 7.4MiB allocated; 7ms collecting garbage
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 x) #s(literal 27 binary64))
Calls

4 calls:

7.0ms
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
3.0ms
x
3.0ms
y
2.0ms
(*.f64 x #s(literal 27 binary64))
Results
AccuracySegmentsBranch
99.7%1(*.f64 x #s(literal 27 binary64))
99.7%1(*.f64 (*.f64 x #s(literal 27 binary64)) y)
99.7%1x
99.7%1y
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes5.0ms (0%)

Memory
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Accuracy

Total -0.1b remaining (-67.3%)

Threshold costs -0.1b (-67.3%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
(*.f64 (*.f64 y #s(literal 27 binary64)) x)
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
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
1.0ms
x
Results
AccuracySegmentsBranch
99.7%1(*.f64 x #s(literal 27 binary64))
99.7%1(*.f64 (*.f64 x #s(literal 27 binary64)) y)
99.7%1x
99.7%1y
Compiler

Compiled 10 to 13 computations (-30% saved)

derivations0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 7 to 7 computations (0% saved)

preprocess54.0ms (0.1%)

Memory
2.2MiB live, 45.3MiB allocated; 10ms collecting garbage
Remove

(negabs y)

(sort x y)

(negabs x)

Compiler

Compiled 82 to 82 computations (0% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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