Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, E

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

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample655.0ms (41%)

Memory

23.2MiB live, 1 194.2MiB allocated; 275ms collecting garbage

Samples

394.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-div!: 104.0ms (74.1% of total)

ival-sub!: 35.0ms (24.9% of total)

adjust: 2.0ms (1.4% of total)

Bogosity

preprocess54.0ms (3.4%)

Memory

-24.0MiB live, 73.7MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	66	34
2	530	30

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (/.f64 y #s(literal 4 binary64)))

Compiler

Compiled 10 to 10 computations (0% saved)

series166.0ms (10.4%)

Memory

3.3MiB live, 96.2MiB allocated; 13ms collecting garbage

Counts

5 → 10

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
x
(/.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)

Outputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
#s(approx (- x (/ y 4)) (-.f64 x (*.f64 #s(literal 1/4 binary64) y)))
#s(approx x x)
#s(approx (- x (/ y 4)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 y x)))))
#s(approx (- x (/ y 4)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
#s(approx (- x (/ y 4)) (+.f64 x (*.f64 #s(literal -1/4 binary64) y)))
#s(approx (/ y 4) (*.f64 #s(literal 1/4 binary64) y))
#s(approx y y)
#s(approx (- x (/ y 4)) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1/4 binary64))))
#s(approx (- x (/ y 4)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))

Calls

6 calls:

Time	Variable	Point
2.0ms	y	inf
1.0ms	y	-inf
1.0ms	x	-inf
1.0ms	x	inf
1.0ms	y	0

rewrite245.0ms (15.4%)

Memory

25.7MiB live, 275.0MiB allocated; 114ms collecting garbage

Counts

5 → 13

Calls

Call 1

Inputs
(-.f64 x (/.f64 y #s(literal 4 binary64)))
x
(/.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)

Outputs
(*.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 (-.f64 x (/.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 y #s(literal 4 binary64)) x)))
(.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 y y) (.f64 #s(literal 4 binary64) #s(literal 4 binary64)))) (fma.f64 (.f64 x x) x (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 binary64))))) (fma.f64 (/.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 y #s(literal 4 binary64)) x) (.f64 x x)))
(.f64 (/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 y y) (.f64 #s(literal 4 binary64) #s(literal 4 binary64)))) (-.f64 (.f64 x x) (/.f64 (.f64 y y) (*.f64 #s(literal 4 binary64) #s(literal 4 binary64))))) (-.f64 x (/.f64 y #s(literal 4 binary64))))
(.f64 (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (.f64 x x)) (/.f64 (-.f64 x (/.f64 y #s(literal 4 binary64))) (fma.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64)) (*.f64 x x))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 x x) x) (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 binary64)))) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (pow.f64 (.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)))) (fma.f64 (.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64))) (-.f64 (.f64 (+.f64 (/.f64 y #s(literal 4 binary64)) x) (/.f64 y #s(literal 4 binary64))) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))))
x
(/.f64 y #s(literal 4 binary64))
(/.f64 (neg.f64 y) (neg.f64 #s(literal 4 binary64)))
(neg.f64 (neg.f64 (/.f64 y #s(literal 4 binary64))))
y
(neg.f64 (neg.f64 y))
#s(literal 4 binary64)
(neg.f64 (neg.f64 #s(literal 4 binary64)))

eval2.0ms (0.1%)

Memory: 6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 333 to 90 computations (73% saved)

prune4.0ms (0.3%)

Memory

-45.0MiB live, 4.1MiB allocated; 6ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	17	2	19
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	18	2	20

Accuracy

100.0%

Counts

20 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x #s(approx (/ y 4) (*.f64 #s(literal 1/4 binary64) y)))
▶	52.1%	#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Compiler

Compiled 18 to 16 computations (11.1% saved)

series167.0ms (10.5%)

Memory

34.3MiB live, 128.3MiB allocated; 13ms collecting garbage

Counts

9 → 10

Calls

Call 1

Inputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
(*.f64 #s(literal -1/4 binary64) y)
#s(literal -1/4 binary64)
y
(-.f64 x #s(approx (/ y 4) (*.f64 #s(literal 1/4 binary64) y)))
x
#s(approx (/ y 4) (*.f64 #s(literal 1/4 binary64) y))
(*.f64 #s(literal 1/4 binary64) y)
#s(literal 1/4 binary64)

Outputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
#s(approx (- x (/ y 4)) (-.f64 x (*.f64 #s(literal 1/4 binary64) y)))
#s(approx x x)
#s(approx (- x (/ y 4)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 y x)))))
#s(approx (- x (/ y 4)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
#s(approx (- x (/ y 4)) (+.f64 x (*.f64 #s(literal -1/4 binary64) y)))
#s(approx y y)
#s(approx (/ y 4) (*.f64 #s(literal 1/4 binary64) y))
#s(approx (- x (/ y 4)) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1/4 binary64))))
#s(approx (- x (/ y 4)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))

Calls

6 calls:

Time	Variable	Point
1.0ms	y	-inf
1.0ms	y	inf
1.0ms	x	0
0.0ms	y	0
0.0ms	x	-inf

rewrite265.0ms (16.6%)

Memory

9.9MiB live, 247.4MiB allocated; 40ms collecting garbage

Counts

9 → 12

Calls

Call 1

Inputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
(*.f64 #s(literal -1/4 binary64) y)
#s(literal -1/4 binary64)
y
(-.f64 x #s(approx (/ y 4) (*.f64 #s(literal 1/4 binary64) y)))
x
#s(approx (/ y 4) (*.f64 #s(literal 1/4 binary64) y))
(*.f64 #s(literal 1/4 binary64) y)
#s(literal 1/4 binary64)

Outputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
(*.f64 #s(literal -1/4 binary64) y)
(*.f64 y #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
y
(neg.f64 (neg.f64 y))
(-.f64 x #s(approx (/ y 4) (*.f64 #s(literal 1/4 binary64) y)))
x
#s(approx (/ y 4) (*.f64 #s(literal 1/4 binary64) y))
(*.f64 #s(literal 1/4 binary64) y)
(*.f64 y #s(literal 1/4 binary64))
#s(literal 1/4 binary64)

eval1.0ms (0.1%)

Memory: 4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 157 to 55 computations (65% saved)

prune4.0ms (0.3%)

Memory

-46.1MiB live, 6.2MiB allocated; 4ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	13	2	15

Accuracy

100.0%

Counts

15 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 x #s(approx (/ y 4) (*.f64 #s(literal 1/4 binary64) y)))
✓	52.1%	#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Compiler

Compiled 18 to 16 computations (11.1% saved)

regimes14.0ms (0.9%)

Memory

3.5MiB live, 49.1MiB allocated; 3ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

3 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Outputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))

Call 2

Inputs
#s(approx (- x (/ y 4)) (*.f64 #s(literal -1/4 binary64) y))
(-.f64 x #s(approx (/ y 4) (*.f64 #s(literal 1/4 binary64) y)))
(-.f64 x (/.f64 y #s(literal 4 binary64)))

Outputs
(-.f64 x #s(approx (/ y 4) (*.f64 #s(literal 1/4 binary64) y)))

Calls

8 calls:

3.0ms	(/.f64 y #s(literal 4 binary64))
2.0ms	(/.f64 y #s(literal 4 binary64))
2.0ms	x
2.0ms	(-.f64 x (/.f64 y #s(literal 4 binary64)))
2.0ms	y

Results

Accuracy	Segments	Branch
52.1%	1	`(/.f64 y #s(literal 4 binary64))`
52.1%	1	`(-.f64 x (/.f64 y #s(literal 4 binary64)))`
52.1%	1	`x`
52.1%	1	`y`
100.0%	1	`(/.f64 y #s(literal 4 binary64))`
100.0%	1	`(-.f64 x (/.f64 y #s(literal 4 binary64)))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 43 to 41 computations (4.7% saved)

derivations0.0ms (0%)

Memory

1.3MiB live, 1.2MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 18 to 12 computations (33.3% saved)

preprocess17.0ms (1%)

Memory: 10.7MiB live, 54.3MiB allocated; 5ms collecting garbage
Compiler: Compiled 23 to 17 computations (26.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample655.0ms (41%)

preprocess54.0ms (3.4%)

series166.0ms (10.4%)

rewrite245.0ms (15.4%)

eval2.0ms (0.1%)

prune4.0ms (0.3%)

series167.0ms (10.5%)

rewrite265.0ms (16.6%)

eval1.0ms (0.1%)

prune4.0ms (0.3%)

regimes14.0ms (0.9%)

derivations0.0ms (0%)

preprocess17.0ms (1%)

end0.0ms (0%)

Profiling