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

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	0
100.0%	99.9%	0.0%	0.1%	0.0%	0.0%	0.0%	1

Compiler

Compiled 9 to 9 computations (0.0% saved)

sample474.0ms (38.3%)

Memory

30.8MiB live, 879.2MiB allocated; 142ms collecting garbage

Samples

264.0ms	7 595×	0	valid
14.0ms	312×	1	valid
11.0ms	145×	3	valid
11.0ms	204×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-mult!: 61.0ms (62.0% of total)

ival-sub!: 24.0ms (24.4% of total)

adjust: 14.0ms (14.2% of total)

Bogosity

preprocess40.0ms (3.3%)

Memory

-27.1MiB live, 61.5MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	34
1	61	30
2	193	30
3	562	30
4	1295	30

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))

Compiler

Compiled 14 to 14 computations (0.0% saved)

sample0.0ms (0.0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
3
8
(/ 3 8)

Outputs
#s(literal 3 binary64)
#s(literal 8 binary64)
#s(literal 3/8 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series9.0ms (0.8%)

Memory

28.3MiB live, 28.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	106

Stop Event

1×	iter-limit

Counts

7 → 10

Calls

Call 1

Inputs
x
#s(literal 3 binary64)
#s(literal 8 binary64)
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
y
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))

Outputs
#s(approx x x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
#s(approx (- x (* (/ 3 8) y)) (-.f64 x (*.f64 #s(literal 3/8 binary64) y)))
#s(approx (- x (* (/ 3 8) y)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/8 binary64) (/.f64 y x)))))
#s(approx (- x (* (/ 3 8) y)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
#s(approx y y)
#s(approx (* (/ 3 8) y) (*.f64 #s(literal 3/8 binary64) y))
#s(approx (- x (* (/ 3 8) y)) (+.f64 x (*.f64 #s(literal -3/8 binary64) y)))
#s(approx (- x (* (/ 3 8) y)) (*.f64 y (-.f64 (/.f64 x y) #s(literal 3/8 binary64))))
#s(approx (- x (* (/ 3 8) y)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 3/8 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	-inf
0.0ms	x	inf
0.0ms	y	0

rewrite314.0ms (25.3%)

Memory

7.2MiB live, 214.1MiB allocated; 110ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	11	13
1	36	13
2	93	13
3	161	13
4	289	13
5	616	13
6	3291	13
0	4429	12

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

7 → 31

Calls

Call 1

Inputs
x
#s(literal 3 binary64)
#s(literal 8 binary64)
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
y
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))

Outputs
x
#s(literal 3 binary64)
#s(literal 8 binary64)
#s(literal 3/8 binary64)
y
(*.f64 (neg.f64 y) #s(literal -3/8 binary64))
(*.f64 #s(literal -3/8 binary64) (neg.f64 y))
(*.f64 y #s(literal 3/8 binary64))
(*.f64 #s(literal 3/8 binary64) y)
(neg.f64 (*.f64 #s(literal -3/8 binary64) y))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (.f64 #s(literal -3/8 binary64) y))) (*.f64 #s(literal -3/8 binary64) y))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal -3/8 binary64) y))) (*.f64 #s(literal -3/8 binary64) y))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)) x)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 3/8 binary64)) x)) x)
(/.f64 (-.f64 (.f64 (.f64 #s(literal -3/8 binary64) y) (.f64 #s(literal -3/8 binary64) y)) (.f64 (neg.f64 x) (neg.f64 x))) (+.f64 (*.f64 #s(literal -3/8 binary64) y) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -3/8 binary64) y) (.f64 #s(literal -3/8 binary64) y) (fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (*.f64 #s(literal -3/8 binary64) y) (neg.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -3/8 binary64) y) (.f64 #s(literal -3/8 binary64) y)) (.f64 x x)) (-.f64 (*.f64 #s(literal -3/8 binary64) y) x))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -3/8 binary64) y) (.f64 #s(literal -3/8 binary64) y) (-.f64 (.f64 x x) (.f64 (.f64 #s(literal -3/8 binary64) y) x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal -3/8 binary64) y) (.f64 #s(literal -3/8 binary64) y))) (-.f64 x (*.f64 #s(literal -3/8 binary64) y)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 #s(literal -3/8 binary64) y) (.f64 #s(literal -3/8 binary64) y)) (.f64 x (.f64 #s(literal -3/8 binary64) y)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 3/8 binary64)) (.f64 y #s(literal 3/8 binary64)))) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 y #s(literal 3/8 binary64)) (.f64 y #s(literal 3/8 binary64)) (.f64 x (*.f64 y #s(literal 3/8 binary64))))))
(neg.f64 (-.f64 (*.f64 y #s(literal 3/8 binary64)) x))
(fma.f64 (neg.f64 y) #s(literal 3/8 binary64) x)
(fma.f64 #s(literal -3/8 binary64) y x)
(fma.f64 y #s(literal -3/8 binary64) x)
(fma.f64 #s(literal 3/8 binary64) (neg.f64 y) x)
(-.f64 (*.f64 #s(literal -3/8 binary64) y) (neg.f64 x))
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))

eval3.0ms (0.3%)

Memory: 12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 429 to 119 computations (72.3% saved)

prune2.0ms (0.1%)

Memory

5.4MiB live, 5.5MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	2	37

Accuracy

100.0%

Counts

37 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)
▶	47.3%	#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample0.0ms (0.0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
-3/8

Outputs
#s(literal -3/8 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series5.0ms (0.4%)

Memory

17.8MiB live, 17.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	98

Stop Event

1×	iter-limit

Counts

6 → 9

Calls

Call 1

Inputs
x
y
#s(literal -3/8 binary64)
(*.f64 #s(literal -3/8 binary64) y)
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(fma.f64 y #s(literal -3/8 binary64) x)

Outputs
#s(approx x x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
#s(approx (- x (* (/ 3 8) y)) (-.f64 x (*.f64 #s(literal 3/8 binary64) y)))
#s(approx (+ (* y -3/8) x) (+.f64 x (*.f64 #s(literal -3/8 binary64) y)))
#s(approx (- x (* (/ 3 8) y)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3/8 binary64) (/.f64 y x)))))
#s(approx (- x (* (/ 3 8) y)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
#s(approx y y)
#s(approx (- x (* (/ 3 8) y)) (*.f64 y (-.f64 (/.f64 x y) #s(literal 3/8 binary64))))
#s(approx (- x (* (/ 3 8) y)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))

Calls

6 calls:

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

rewrite287.0ms (23.2%)

Memory

-19.9MiB live, 136.1MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
0	15	18
1	55	18
2	126	18
3	239	18
4	337	18
5	653	18
6	3328	18
0	4466	18

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

6 → 30

Calls

Call 1

Inputs
x
y
#s(literal -3/8 binary64)
(*.f64 #s(literal -3/8 binary64) y)
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(fma.f64 y #s(literal -3/8 binary64) x)

Outputs
x
y
#s(literal -3/8 binary64)
(*.f64 (neg.f64 y) #s(literal 3/8 binary64))
(*.f64 #s(literal -3/8 binary64) y)
(*.f64 y #s(literal -3/8 binary64))
(*.f64 #s(literal 3/8 binary64) (neg.f64 y))
(neg.f64 (*.f64 y #s(literal 3/8 binary64)))
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(literal 3/8 binary64)) x)) x)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3/8 binary64) y) x)) x)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (.f64 #s(literal -3/8 binary64) y))) (*.f64 #s(literal -3/8 binary64) y))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal -3/8 binary64) y))) (*.f64 #s(literal -3/8 binary64) y))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal -3/8 binary64) y) (.f64 #s(literal -3/8 binary64) y))) (-.f64 x (*.f64 #s(literal -3/8 binary64) y)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -3/8 binary64) y) (.f64 #s(literal -3/8 binary64) y)) (.f64 (neg.f64 x) (neg.f64 x))) (+.f64 (*.f64 #s(literal -3/8 binary64) y) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 #s(literal -3/8 binary64) y) (.f64 #s(literal -3/8 binary64) y)) (.f64 x (.f64 #s(literal -3/8 binary64) y)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -3/8 binary64) y) (.f64 #s(literal -3/8 binary64) y) (fma.f64 (neg.f64 x) (neg.f64 x) (.f64 (*.f64 #s(literal -3/8 binary64) y) (neg.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -3/8 binary64) y) (.f64 #s(literal -3/8 binary64) y)) (.f64 x x)) (-.f64 (*.f64 #s(literal -3/8 binary64) y) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 3/8 binary64)) (.f64 y #s(literal 3/8 binary64)))) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -3/8 binary64) y) (.f64 #s(literal -3/8 binary64) y) (-.f64 (.f64 x x) (.f64 (.f64 #s(literal -3/8 binary64) y) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 y #s(literal 3/8 binary64)) (.f64 y #s(literal 3/8 binary64)) (.f64 x (*.f64 y #s(literal 3/8 binary64))))))
(neg.f64 (-.f64 (*.f64 y #s(literal 3/8 binary64)) x))
(fma.f64 (neg.f64 y) #s(literal 3/8 binary64) x)
(fma.f64 #s(literal -3/8 binary64) y x)
(fma.f64 y #s(literal -3/8 binary64) x)
(fma.f64 #s(literal 3/8 binary64) (neg.f64 y) x)
(-.f64 (*.f64 #s(literal -3/8 binary64) y) (neg.f64 x))
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))

eval3.0ms (0.2%)

Memory: 7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 440 to 119 computations (73.0% saved)

prune2.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	0	0
Picked	2	0	2
Done	-2	2	0
Total	35	2	37

Accuracy

100.0%

Counts

37 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)
✓	47.3%	#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))

Compiler

Compiled 15 to 14 computations (6.7% saved)

regimes16.0ms (1.3%)

Memory

-11.2MiB live, 35.2MiB allocated; 3ms collecting garbage

Counts

1 → 1

3 → 1

Calls

Call 1

Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))

Outputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))

Call 2

Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(fma.f64 y #s(literal -3/8 binary64) x)
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))

Outputs
(fma.f64 y #s(literal -3/8 binary64) x)

Calls

8 calls:

3.0ms	y
2.0ms	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
2.0ms	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
2.0ms	x
1.0ms	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))

Results

Accuracy	Segments	Branch
47.3%	1	`(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)`
47.3%	1	`(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))`
47.3%	1	`x`
47.3%	1	`y`
100.0%	1	`(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)`
100.0%	1	`(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 50 to 50 computations (0.0% saved)

derivations72.0ms (5.8%)

Memory

-25.4MiB live, 28.9MiB allocated; 60ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 15 to 11 computations (26.7% saved)

preprocess11.0ms (0.9%)

Memory: 35.5MiB live, 35.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 22 to 18 computations (18.2% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample474.0ms (38.3%)

preprocess40.0ms (3.3%)

sample0.0ms (0.0%)

series9.0ms (0.8%)

rewrite314.0ms (25.3%)

eval3.0ms (0.3%)

prune2.0ms (0.1%)

sample0.0ms (0.0%)

series5.0ms (0.4%)

rewrite287.0ms (23.2%)

eval3.0ms (0.2%)

prune2.0ms (0.1%)

regimes16.0ms (1.3%)

derivations72.0ms (5.8%)

preprocess11.0ms (0.9%)

end0.0ms (0.0%)

Profiling