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

Time bar (total: 1.0s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample682.0ms (67.5%)

Memory
38.1MiB live, 833.6MiB allocated; 268ms collecting garbage
Samples
382.0ms8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-mult!: 94.0ms (98.7% of total)
adjust: 2.0ms (2.1% of total)
Bogosity

explain46.0ms (4.5%)

Memory
-16.2MiB live, 77.8MiB allocated; 11ms collecting garbage
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
19.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult!: 5.0ms (98.8% of total)
adjust: 0.0ms (0% of total)

preprocess11.0ms (1.1%)

Memory
21.2MiB live, 21.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01432
13530
27630
312530
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)

series10.0ms (1%)

Memory
-35.2MiB live, 10.9MiB allocated; 6ms 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
6.0ms
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)

rewrite18.0ms (1.8%)

Memory
35.0MiB live, 35.0MiB allocated; 0ms 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 (0.1%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 89 to 25 computations (71.9% saved)

prune2.0ms (0.2%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13215
Fresh000
Picked011
Done000
Total13316
Accuracy
100.0%
Counts
16 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(*.f64 (*.f64 y x) #s(literal 27 binary64))
99.8%
(*.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)

series52.0ms (5.2%)

Memory
-43.5MiB live, 10.2MiB allocated; 60ms collecting garbage
Counts
7 → 6
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) 27) #s(hole binary64 (* 27 (* x y))))
#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
47.0ms
x
@inf
((* (* y 27) x) (* y 27) y 27 x (* (* y x) 27) (* y x))
2.0ms
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
y
@inf
((* (* y 27) x) (* y 27) y 27 x (* (* y x) 27) (* y x))
0.0ms
y
@0
((* (* y 27) x) (* y 27) y 27 x (* (* y x) 27) (* y x))

rewrite8.0ms (0.8%)

Memory
13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02061
02361
13361
23461
03461
Stop Event
iter-limit
saturated
iter-limit
Counts
13 → 25
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) 27) #s(hole binary64 (* 27 (* x y))))
#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 x) 27) (*.f64 x (*.f64 #s(literal 27 binary64) y)))
#s(approx x x)
#s(approx (* (* y x) 27) (*.f64 x (*.f64 #s(literal 27 binary64) y)))
#s(approx (* y x) (*.f64 x y))
#s(approx (* y 27) (*.f64 #s(literal 27 binary64) y))
#s(approx y y)

eval2.0ms (0.2%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 137 to 34 computations (75.2% saved)

prune4.0ms (0.4%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New23023
Fresh000
Picked022
Done011
Total23326
Accuracy
100.0%
Counts
26 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(*.f64 (*.f64 y x) #s(literal 27 binary64))
99.8%
(*.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)

regimes12.0ms (1.2%)

Memory
-34.0MiB live, 16.6MiB allocated; 9ms 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 #s(literal 27 binary64)) x)
Calls

4 calls:

7.0ms
(*.f64 x #s(literal 27 binary64))
1.0ms
x
1.0ms
y
1.0ms
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
Results
AccuracySegmentsBranch
99.8%1(*.f64 x #s(literal 27 binary64))
99.8%1(*.f64 (*.f64 x #s(literal 27 binary64)) y)
99.8%1x
99.8%1y
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes4.0ms (0.4%)

Memory
12.1MiB live, 12.1MiB allocated; 0ms collecting garbage
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
y
1.0ms
(*.f64 x #s(literal 27 binary64))
1.0ms
x
1.0ms
(*.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)

derivations1.0ms (0.1%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 10 to 7 computations (30% saved)

preprocess154.0ms (15.3%)

Memory
23.1MiB live, 248.6MiB allocated; 62ms collecting garbage
Remove

(negabs y)

(sort x y)

(negabs x)

Compiler

Compiled 120 to 114 computations (5% saved)

end0.0ms (0%)

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

Profiling

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