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

Time bar (total: 3.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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)

sample558.0ms (14.9%)

Memory
15.2MiB live, 676.1MiB allocated; 144ms collecting garbage
Samples
375.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 138.0ms
ival-mult!: 136.0ms (98.8% of total)
adjust: 2.0ms (1.5% of total)
Bogosity

preprocess21.0ms (0.6%)

Memory
8.0MiB live, 52.8MiB allocated; 5ms 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)

series6.0ms (0.2%)

Memory
14.4MiB live, 14.4MiB 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
1.0ms
y
@inf
((* (* x 27) y) (* x 27) x 27 y)
1.0ms
x
@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)

rewrite23.0ms (0.6%)

Memory
-4.2MiB live, 45.2MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01435
01535
12335
22735
02735
Stop Event
iter-limit
saturated
iter-limit
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 y #s(literal 27 binary64)) x)
(*.f64 (*.f64 y x) #s(literal 27 binary64))
(*.f64 (*.f64 #s(literal 27 binary64) x) y)
(*.f64 y (*.f64 #s(literal 27 binary64) x))
(*.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))
x
#s(literal 27 binary64)
y
#s(approx (* (* x 27) y) (*.f64 (*.f64 #s(literal 27 binary64) x) y))
#s(approx (* x 27) (*.f64 #s(literal 27 binary64) x))
#s(approx x x)
#s(approx y y)

eval1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 33 to 24 computations (27.3% saved)

prune1.0ms (0%)

Memory
4.6MiB live, 4.6MiB 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))
99.6%
(*.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)

series2.7s (72.3%)

Memory
196.3MiB live, 273.5MiB allocated; 3.1s 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) #s(hole binary64 (* 27 (* x y))))
#s(approx x #s(hole binary64 x))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (* y 27) #s(hole binary64 (* 27 y)))
#s(approx y #s(hole binary64 y))
Calls

6 calls:

TimeVariablePointExpression
2.7s
x
@-inf
((* (* y 27) x) (* y 27) y 27 x (* (* y x) 27) (* y x))
2.0ms
y
@0
((* (* 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
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))

rewrite12.0ms (0.3%)

Memory
5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01850
02250
13150
23350
03350
Stop Event
iter-limit
saturated
iter-limit
Counts
12 → 24
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)
#s(approx (* (* y 27) x) #s(hole binary64 (* 27 (* x y))))
#s(approx x #s(hole binary64 x))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (* y 27) #s(hole binary64 (* 27 y)))
#s(approx y #s(hole binary64 y))
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))
y
#s(literal 27 binary64)
x
(*.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)
#s(approx (* (* y 27) x) (*.f64 (*.f64 x y) #s(literal 27 binary64)))
#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)

eval1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 43 to 30 computations (30.2% saved)

prune2.0ms (0.1%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New14014
Fresh000
Picked022
Done011
Total14317
Accuracy
100.0%
Counts
17 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(*.f64 (*.f64 y x) #s(literal 27 binary64))
99.6%
(*.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)

regimes6.0ms (0.2%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Accuracy

Total -0.3b remaining (-129.4%)

Threshold costs -0.3b (-129.4%)

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 x #s(literal 27 binary64)) y)
Calls

4 calls:

1.0ms
y
1.0ms
(*.f64 x #s(literal 27 binary64))
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
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 5 to 5 computations (0% saved)

preprocess405.0ms (10.8%)

Memory
-255.7MiB live, 140.8MiB allocated; 266ms collecting garbage
Remove

(negabs y)

Compiler

Compiled 60 to 60 computations (0% saved)

end0.0ms (0%)

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

Profiling

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