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

Time bar (total: 904.0ms)

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)

sample611.0ms (67.6%)

Memory
12.5MiB live, 913.4MiB allocated; 185ms collecting garbage
Samples
378.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-mult!: 93.0ms (97.9% of total)
adjust: 2.0ms (2.1% of total)
Bogosity

explain78.0ms (8.6%)

Memory
8.2MiB live, 93.7MiB allocated; 28ms 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
17.0ms512×0valid
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 (101.1% of total)
adjust: 0.0ms (0% of total)

preprocess12.0ms (1.3%)

Memory
23.1MiB live, 23.1MiB 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
99.6%
(*.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 (0.7%)

Memory
20.4MiB live, 20.4MiB 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)

rewrite49.0ms (5.4%)

Memory
-18.7MiB live, 58.5MiB allocated; 37ms 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
3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 89 to 25 computations (71.9% saved)

prune2.0ms (0.3%)

Memory
7.9MiB live, 7.9MiB 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))
99.7%
(*.f64 (*.f64 y #s(literal 27 binary64)) x)
99.6%
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
Compiler

Compiled 15 to 15 computations (0% saved)

series4.0ms (0.5%)

Memory
14.5MiB live, 14.5MiB allocated; 0ms 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
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))
0.0ms
y
@0
((* (* y 27) x) (* y 27) y 27 x (* (* y x) 27) (* y x))

rewrite19.0ms (2.2%)

Memory
-23.2MiB live, 17.3MiB allocated; 14ms 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
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 137 to 34 computations (75.2% saved)

prune4.0ms (0.5%)

Memory
10.2MiB live, 10.2MiB 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))
99.7%
(*.f64 (*.f64 y #s(literal 27 binary64)) x)
99.6%
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
Compiler

Compiled 30 to 24 computations (20% saved)

regimes7.0ms (0.7%)

Memory
15.5MiB live, 15.5MiB allocated; 0ms 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:

2.0ms
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
2.0ms
(*.f64 x #s(literal 27 binary64))
1.0ms
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)

regimes4.0ms (0.5%)

Memory
11.1MiB live, 11.1MiB 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
(*.f64 x #s(literal 27 binary64))
1.0ms
y
1.0ms
(*.f64 (*.f64 x #s(literal 27 binary64)) y)
1.0ms
x
Results
AccuracySegmentsBranch
99.6%1(*.f64 x #s(literal 27 binary64))
99.6%1(*.f64 (*.f64 x #s(literal 27 binary64)) y)
99.6%1x
99.6%1y
Compiler

Compiled 10 to 13 computations (-30% saved)

derivations59.0ms (6.5%)

Memory
-71.4MiB live, 1.4MiB allocated; 65ms collecting garbage
Stop Event
done
Compiler

Compiled 10 to 7 computations (30% saved)

preprocess45.0ms (5%)

Memory
13.1MiB live, 64.4MiB allocated; 11ms collecting garbage
Remove

(negabs y)

(negabs x)

Compiler

Compiled 110 to 104 computations (5.5% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...