Metrics for Diagrams.Solve.Tridiagonal:solveCyclicTriDiagonal from diagrams-solve-0.1, A

start0.0ms (0%)

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

analyze51.0ms (2.4%)

Memory

-20.9MiB live, 80.4MiB allocated; 27ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 7 to 7 computations (0% saved)

sample583.0ms (27.6%)

Memory

61.4MiB live, 1 190.0MiB allocated; 308ms collecting garbage

Samples

338.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-mult!: 72.0ms (62.8% of total)

ival-div!: 41.0ms (35.8% of total)

adjust: 1.0ms (0.9% of total)

Bogosity

preprocess100.0ms (4.7%)

Memory

11.3MiB live, 56.4MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	53
1	72	53
2	197	53
3	494	53
4	1171	53
5	5303	53

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.2%	(/.f64 (*.f64 x y) z)

Symmetry

(negabs x)

(negabs y)

(negabs z)

(sort x y)

Compiler

Compiled 10 to 10 computations (0% saved)

series145.0ms (6.9%)

Memory

-26.6MiB live, 94.5MiB allocated; 147ms collecting garbage

Counts

5 → 5

Calls

Call 1

Inputs
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z

Outputs
#s(approx (/ (* x y) z) (/.f64 (*.f64 x y) z))
#s(approx (* x y) (*.f64 x y))
#s(approx x x)
#s(approx y y)
#s(approx z z)

Calls

9 calls:

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

rewrite271.0ms (12.8%)

Memory

13.9MiB live, 244.8MiB allocated; 44ms collecting garbage

Counts

5 → 9

Calls

Call 1

Inputs
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z

Outputs
(.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(/.f64 (neg.f64 (*.f64 x y)) (neg.f64 z))
(*.f64 x y)
(*.f64 y x)
x
y
z

eval3.0ms (0.2%)

Memory: 3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 65 to 28 computations (56.9% saved)

prune4.0ms (0.2%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	7	2	9
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	7	3	10

Accuracy

99.9%

Counts

10 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.2%	(/.f64 (*.f64 x y) z)
▶	94.2%	(.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z))
▶	90.3%	(*.f64 x (/.f64 y z))

Compiler

Compiled 17 to 17 computations (0% saved)

series152.0ms (7.2%)

Memory

-20.8MiB live, 118.3MiB allocated; 45ms collecting garbage

Counts

9 → 7

Calls

Call 1

Inputs
(*.f64 x (/.f64 y z))
x
(/.f64 y z)
y
z
(.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 x y)
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)

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

Calls

9 calls:

Time	Variable	Point
13.0ms	y	-inf
4.0ms	x	-inf
3.0ms	x	inf
2.0ms	z	-inf
2.0ms	y	inf

rewrite164.0ms (7.8%)

Memory

14.2MiB live, 106.8MiB allocated; 9ms collecting garbage

Counts

9 → 27

Calls

Call 1

Inputs
(*.f64 x (/.f64 y z))
x
(/.f64 y z)
y
z
(.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 x y)
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)

Outputs
(.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 y z) x)
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))
(/.f64 (*.f64 x y) z)
(/.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) z)
x
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(/.f64 y z)
(/.f64 (neg.f64 y) (neg.f64 z))
y
z
(.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 y z) x)
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))
(/.f64 (*.f64 x y) z)
(/.f64 (.f64 (.f64 x y) #s(literal 1 binary64)) z)
(*.f64 x y)
(*.f64 y x)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(/.f64 #s(literal -1 binary64) (neg.f64 z))
(pow.f64 z #s(literal -1 binary64))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))

eval2.0ms (0.1%)

Memory: 5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 170 to 60 computations (64.7% saved)

prune2.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	20	4	24

Accuracy

99.9%

Counts

24 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.2%	(/.f64 (*.f64 x y) z)
✓	94.2%	(.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z))
✓	90.3%	(*.f64 x (/.f64 y z))
▶	90.2%	(.f64 x (.f64 y (/.f64 #s(literal 1 binary64) z)))

Compiler

Compiled 24 to 24 computations (0% saved)

series113.0ms (5.3%)

Memory

2.5MiB live, 99.8MiB allocated; 27ms collecting garbage

Counts

7 → 6

Calls

Call 1

Inputs
(.f64 x (.f64 y (/.f64 #s(literal 1 binary64) z)))
x
(*.f64 y (/.f64 #s(literal 1 binary64) z))
y
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z

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

Calls

9 calls:

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

rewrite180.0ms (8.5%)

Memory

4.6MiB live, 209.7MiB allocated; 41ms collecting garbage

Counts

7 → 17

Calls

Call 1

Inputs
(.f64 x (.f64 y (/.f64 #s(literal 1 binary64) z)))
x
(*.f64 y (/.f64 #s(literal 1 binary64) z))
y
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z

Outputs
(*.f64 x (/.f64 y z))
(.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 y z) x)
x
(*.f64 y (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(/.f64 y z)
(/.f64 (*.f64 y #s(literal 1 binary64)) z)
y
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) z)
(/.f64 #s(literal -1 binary64) (neg.f64 z))
(pow.f64 z #s(literal -1 binary64))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
z

eval1.0ms (0.1%)

Memory: 5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 121 to 54 computations (55.4% saved)

prune3.0ms (0.2%)

Memory

-39.7MiB live, 6.1MiB allocated; 3ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	14	4	18

Accuracy

99.9%

Counts

18 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.2%	(/.f64 (*.f64 x y) z)
✓	94.2%	(.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z))
✓	90.3%	(*.f64 x (/.f64 y z))
✓	90.2%	(.f64 x (.f64 y (/.f64 #s(literal 1 binary64) z)))

Compiler

Compiled 24 to 24 computations (0% saved)

regimes16.0ms (0.8%)

Memory

7.1MiB live, 53.4MiB allocated; 3ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

4 → 3

Calls

Call 1

Inputs
(*.f64 x (/.f64 y z))

Outputs
(*.f64 x (/.f64 y z))

Call 2

Inputs
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(.f64 x (.f64 y (/.f64 #s(literal 1 binary64) z)))
(.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z))

Outputs
(*.f64 x (/.f64 y z))
(/.f64 (*.f64 x y) z)
(*.f64 x (/.f64 y z))

Calls

10 calls:

3.0ms	y
2.0ms	z
2.0ms	y
2.0ms	x
2.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
90.3%	1	`z`
90.3%	1	`x`
90.3%	1	`y`
90.3%	1	`(*.f64 x y)`
90.3%	1	`(/.f64 (*.f64 x y) z)`
99.7%	3	`(*.f64 x y)`
99.7%	3	`(/.f64 (*.f64 x y) z)`
96.8%	2	`x`
97.2%	2	`y`
96.8%	2	`z`

Compiler

Compiled 46 to 48 computations (-4.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.339509280705484e+301	+inf
0.0ms	1.832933778605376e-103	7.751652048856579e-102

Compiler

Compiled 8 to 11 computations (-37.5% saved)

derivations1.0ms (0%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 36 to 13 computations (63.9% saved)

preprocess320.0ms (15.2%)

Memory: -24.1MiB live, 678.7MiB allocated; 168ms collecting garbage
Remove: (negabs z)
Compiler: Compiled 359 to 192 computations (46.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze51.0ms (2.4%)

sample583.0ms (27.6%)

preprocess100.0ms (4.7%)

series145.0ms (6.9%)

rewrite271.0ms (12.8%)

eval3.0ms (0.2%)

prune4.0ms (0.2%)

series152.0ms (7.2%)

rewrite164.0ms (7.8%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

series113.0ms (5.3%)

rewrite180.0ms (8.5%)

eval1.0ms (0.1%)

prune3.0ms (0.2%)

regimes16.0ms (0.8%)

bsearch0.0ms (0%)

derivations1.0ms (0%)

preprocess320.0ms (15.2%)

end0.0ms (0%)

Profiling