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

analyze97.0ms (7.3%)

Memory

-1.8MiB live, 95.6MiB allocated; 80ms 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)

sample757.0ms (57.1%)

Memory

16.1MiB live, 742.6MiB allocated; 283ms collecting garbage

Samples

393.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 156.0ms

ival-mult!: 97.0ms (62.4% of total)

ival-div!: 57.0ms (36.7% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

preprocess28.0ms (2.1%)

Memory

-0.9MiB live, 51.6MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	53
1	60	53
2	126	53
3	218	53
4	242	53

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.7%	(/.f64 (*.f64 x y) z)

Symmetry

(negabs x)

(negabs y)

(negabs z)

(sort x y)

Compiler

Compiled 10 to 10 computations (0% saved)

series14.0ms (1%)

Memory

-19.9MiB live, 25.2MiB allocated; 7ms 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) #s(hole binary64 (/ (* x y) z)))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx y #s(hole binary64 y))
#s(approx z #s(hole binary64 z))

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	z	@	0	((/ (* x y) z) (* x y) x y z)
2.0ms	y	@	-inf	((/ (* x y) z) (* x y) x y z)
1.0ms	x	@	-inf	((/ (* x y) z) (* x y) x y z)
1.0ms	x	@	inf	((/ (* x y) z) (* x y) x y z)
1.0ms	z	@	inf	((/ (* x y) z) (* x y) x y z)

rewrite14.0ms (1%)

Memory

31.3MiB live, 31.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
0	13	38
1	19	38
2	36	38
3	71	38
4	99	38
0	99	38

Stop Event

1×	iter-limit
1×	saturated
1×	iter-limit

Counts

10 → 24

Calls

Call 1

Inputs
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
y
z
#s(approx (/ (* x y) z) #s(hole binary64 (/ (* x y) z)))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx x #s(hole binary64 x))
#s(approx y #s(hole binary64 y))
#s(approx z #s(hole binary64 z))

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

eval2.0ms (0.1%)

Memory: 4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 69 to 44 computations (36.2% saved)

prune5.0ms (0.4%)

Memory

-40.5MiB live, 4.9MiB allocated; 5ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	18	2	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	3	21

Accuracy

99.9%

Counts

21 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.7%	(/.f64 (*.f64 x y) z)
▶	90.2%	(*.f64 (/.f64 y z) x)
▶	93.0%	(*.f64 (/.f64 x z) y)

Compiler

Compiled 15 to 15 computations (0% saved)

series8.0ms (0.6%)

Memory

17.7MiB live, 17.7MiB allocated; 0ms collecting garbage

Counts

7 → 6

Calls

Call 1

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

Outputs
#s(approx (* (/ x z) y) #s(hole binary64 (/ (* x y) z)))
#s(approx (/ x z) #s(hole binary64 (/ x z)))
#s(approx x #s(hole binary64 x))
#s(approx y #s(hole binary64 y))
#s(approx (/ y z) #s(hole binary64 (/ y z)))
#s(approx z #s(hole binary64 z))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((* (/ x z) y) (/ x z) x z y (* (/ y z) x) (/ y z))
1.0ms	z	@	-inf	((* (/ x z) y) (/ x z) x z y (* (/ y z) x) (/ y z))
1.0ms	x	@	-inf	((* (/ x z) y) (/ x z) x z y (* (/ y z) x) (/ y z))
1.0ms	y	@	-inf	((* (/ x z) y) (/ x z) x z y (* (/ y z) x) (/ y z))
1.0ms	x	@	inf	((* (/ x z) y) (/ x z) x z y (* (/ y z) x) (/ y z))

rewrite9.0ms (0.7%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	53
0	22	53
1	34	53
2	57	53
3	100	53
4	108	53
0	108	53

Stop Event

1×	iter-limit
1×	saturated
1×	iter-limit

Counts

13 → 37

Calls

Call 1

Inputs
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
(*.f64 (/.f64 y z) x)
(/.f64 y z)
#s(approx (* (/ x z) y) #s(hole binary64 (/ (* x y) z)))
#s(approx (/ x z) #s(hole binary64 (/ x z)))
#s(approx x #s(hole binary64 x))
#s(approx y #s(hole binary64 y))
#s(approx (/ y z) #s(hole binary64 (/ y z)))
#s(approx z #s(hole binary64 z))

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

eval2.0ms (0.1%)

Memory: 4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 80 to 52 computations (35% saved)

prune2.0ms (0.2%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	22	3	25

Accuracy

99.9%

Counts

25 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	94.7%	(/.f64 (*.f64 x y) z)
✓	90.2%	(*.f64 (/.f64 y z) x)
✓	93.0%	(*.f64 (/.f64 x z) y)

Compiler

Compiled 24 to 24 computations (0% saved)

regimes18.0ms (1.4%)

Memory

-25.1MiB live, 25.8MiB allocated; 14ms collecting garbage

Counts

3 → 2

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	z
2.0ms	y
1.0ms	x
1.0ms	(*.f64 x y)
1.0ms	(/.f64 (*.f64 x y) z)

Results

Accuracy	Segments	Branch
99.8%	3	`(*.f64 x y)`
99.8%	2	`(/.f64 (*.f64 x y) z)`
97.3%	2	`x`
97.2%	2	`y`
99.8%	2	`z`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes5.0ms (0.4%)

Memory

16.9MiB live, 16.9MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	z
1.0ms	y
1.0ms	x
1.0ms	(*.f64 x y)
1.0ms	(/.f64 (*.f64 x y) z)

Results

Accuracy	Segments	Branch
93.0%	1	`y`
93.0%	1	`x`
93.0%	1	`(*.f64 x y)`
93.0%	1	`(/.f64 (*.f64 x y) z)`
93.0%	1	`z`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

bsearch9.0ms (0.7%)

Memory

-31.0MiB live, 14.4MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.154895197524131e-52	1.143084284957993e-51

Samples

3.0ms

80×

valid

Compiler

Compiled 58 to 71 computations (-22.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult!: 1.0ms (99.7% of total)

adjust: 0.0ms (0% of total)

ival-div!: 0.0ms (0% of total)

derivations2.0ms (0.2%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 10 to 10 computations (0% saved)

preprocess355.0ms (26.8%)

Memory: 17.8MiB live, 480.9MiB allocated; 78ms collecting garbage
Remove: (negabs z)
Compiler: Compiled 165 to 165 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze97.0ms (7.3%)

sample757.0ms (57.1%)

preprocess28.0ms (2.1%)

series14.0ms (1%)

rewrite14.0ms (1%)

eval2.0ms (0.1%)

prune5.0ms (0.4%)

series8.0ms (0.6%)

rewrite9.0ms (0.7%)

eval2.0ms (0.1%)

prune2.0ms (0.2%)

regimes18.0ms (1.4%)

regimes5.0ms (0.4%)

bsearch9.0ms (0.7%)

derivations2.0ms (0.2%)

preprocess355.0ms (26.8%)

end0.0ms (0%)

Profiling