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

Time bar (total: 33.0s)

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)

sample583.0ms (1.8%)

Memory
6.5MiB live, 336.9MiB allocated; 174ms collecting garbage
Samples
254.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-mult!: 80.0ms (97.8% of total)
adjust: 2.0ms (2.4% of total)
Bogosity

preprocess47.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated; 0ms 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)

series7.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms 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) #s(hole binary64 (* 27 (* x y))))
#s(approx (* x 27) #s(hole binary64 (* 27 x)))
#s(approx x #s(hole binary64 x))
#s(approx y #s(hole binary64 y))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
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)

rewrite16.5s (50.1%)

Memory
-26.8MiB live, 7 945.4MiB allocated; 3.2s collecting garbage
Counts
9 → 15
Calls
Call 1
Inputs
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
(*.f64 x #s(literal 27 binary64))
x
#s(literal 27 binary64)
y
#s(approx (* (* x 27) y) #s(hole binary64 (* 27 (* x y))))
#s(approx (* x 27) #s(hole binary64 (* 27 x)))
#s(approx x #s(hole binary64 x))
#s(approx y #s(hole binary64 y))
Outputs
(*.f64 (*.f64 #s(literal 27 binary64) x) y)
(*.f64 y (*.f64 #s(literal 27 binary64) x))
(*.f64 (*.f64 y x) #s(literal 27 binary64))
(*.f64 #s(literal 27 binary64) (*.f64 y x))
(*.f64 (*.f64 #s(literal 27 binary64) y) x)
(*.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 27 binary64) x)
(*.f64 x #s(literal 27 binary64))
x
#s(literal 27 binary64)
y
#s(approx (* (* x 27) y) (*.f64 (*.f64 y x) #s(literal 27 binary64)))
#s(approx (* x 27) (*.f64 #s(literal 27 binary64) x))
#s(approx x x)
#s(approx y y)

eval3.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 33 to 24 computations (27.3% saved)

prune4.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New9211
Fresh000
Picked011
Done000
Total9312
Accuracy
100.0%
Counts
12 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(*.f64 (*.f64 y x) #s(literal 27 binary64))
99.7%
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
99.3%
(*.f64 (*.f64 #s(literal 27 binary64) y) x)
Compiler

Compiled 15 to 15 computations (0% saved)

series10.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Counts
7 → 6
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 27 binary64) y) x)
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
y
x
(*.f64 (*.f64 y x) #s(literal 27 binary64))
(*.f64 y x)
Outputs
#s(approx (* (* 27 y) x) #s(hole binary64 (* 27 (* x y))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* y x) 27) #s(hole binary64 (* 27 (* x y))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (* 27 y) #s(hole binary64 (* 27 y)))
#s(approx y #s(hole binary64 y))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
((* (* 27 y) x) (* 27 y) 27 y x (* (* y x) 27) (* y x))
2.0ms
x
@-inf
((* (* 27 y) x) (* 27 y) 27 y x (* (* y x) 27) (* y x))
2.0ms
y
@inf
((* (* 27 y) x) (* 27 y) 27 y x (* (* y x) 27) (* y x))
1.0ms
x
@inf
((* (* 27 y) x) (* 27 y) 27 y x (* (* y x) 27) (* y x))
1.0ms
y
@0
((* (* 27 y) x) (* 27 y) 27 y x (* (* y x) 27) (* y x))

rewrite15.6s (47.2%)

Memory
31.9MiB live, 6 643.6MiB allocated; 1.1s collecting garbage
Counts
13 → 25
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 27 binary64) y) x)
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
y
x
(*.f64 (*.f64 y x) #s(literal 27 binary64))
(*.f64 y x)
#s(approx (* (* 27 y) x) #s(hole binary64 (* 27 (* x y))))
#s(approx x #s(hole binary64 x))
#s(approx (* (* y x) 27) #s(hole binary64 (* 27 (* x y))))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (* 27 y) #s(hole binary64 (* 27 y)))
#s(approx y #s(hole binary64 y))
Outputs
(*.f64 (*.f64 #s(literal 27 binary64) y) x)
(*.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 (*.f64 y x) #s(literal 27 binary64))
(*.f64 #s(literal 27 binary64) (*.f64 y x))
(*.f64 (*.f64 #s(literal 27 binary64) x) y)
(*.f64 y (*.f64 #s(literal 27 binary64) x))
(*.f64 #s(literal 27 binary64) y)
(*.f64 y #s(literal 27 binary64))
#s(literal 27 binary64)
y
x
(*.f64 (*.f64 #s(literal 27 binary64) y) x)
(*.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 (*.f64 y x) #s(literal 27 binary64))
(*.f64 #s(literal 27 binary64) (*.f64 y x))
(*.f64 (*.f64 #s(literal 27 binary64) x) y)
(*.f64 y (*.f64 #s(literal 27 binary64) x))
(*.f64 y x)
(*.f64 x y)
#s(approx (* 27 (* x y)) (*.f64 (*.f64 y x) #s(literal 27 binary64)))
#s(approx x x)
#s(approx (* 27 (* x y)) (*.f64 (*.f64 y x) #s(literal 27 binary64)))
#s(approx (* x y) (*.f64 y x))
#s(approx (* 27 y) (*.f64 #s(literal 27 binary64) y))
#s(approx y y)

eval26.0ms (0.1%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 41 to 33 computations (19.5% saved)

prune4.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
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 x #s(literal 27 binary64)) y)
99.3%
(*.f64 (*.f64 #s(literal 27 binary64) y) x)
Compiler

Compiled 24 to 24 computations (0% saved)

regimes12.0ms (0%)

Memory
10.4MiB live, 10.4MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 27 binary64) y) x)
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
(*.f64 (*.f64 y x) #s(literal 27 binary64))
Outputs
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
Calls

4 calls:

3.0ms
y
3.0ms
x
3.0ms
(*.f64 x #s(literal 27 binary64))
3.0ms
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
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)

regimes7.0ms (0%)

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

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

2.0ms
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
2.0ms
y
2.0ms
(*.f64 x #s(literal 27 binary64))
1.0ms
x
Results
AccuracySegmentsBranch
99.3%1(*.f64 x #s(literal 27 binary64))
99.3%1(*.f64 (*.f64 x #s(literal 27 binary64)) y)
99.3%1x
99.3%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)

preprocess194.0ms (0.6%)

Memory
-3.1MiB live, 92.2MiB allocated; 14ms collecting garbage
Remove

(negabs y)

(sort x y)

(negabs x)

Compiler

Compiled 102 to 102 computations (0% saved)

end0.0ms (0%)

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

Profiling

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