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

start0.0ms (0%)

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

analyze56.0ms (3%)

Memory

1.7MiB live, 48.9MiB allocated; 11ms 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)

sample631.0ms (33.9%)

Memory

-0.3MiB live, 988.6MiB allocated; 148ms collecting garbage

Samples

359.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-div!: 88.0ms (58% of total)

ival-mult!: 62.0ms (40.8% of total)

adjust: 2.0ms (1.3% of total)

Bogosity

explain790.0ms (42.4%)

Memory

-56.6MiB live, 126.7MiB allocated; 1.1s collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
25	-	4	(-8.439747285809328e-15 1.1821343173234154e-299 -5.056147031175809e-13)	`(/.f64 (*.f64 x y) z)`
0	-	0	-	`y`
0	-	0	-	`z`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x y) z)`	u/n	11	0
↳	`(*.f64 x y)`	underflow	26
`/.f64`	`(/.f64 (*.f64 x y) z)`	o/n	10	0
↳	`(*.f64 x y)`	overflow	36

Confusion

	Predicted +	Predicted -
+	21	4
-	0	231

Precision

1.0

Recall

0.84

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	21	0	4
-	0	0	231

Precision?

1.0

Recall?

0.84

Freqs

test

number	freq
0	235
1	21

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

31.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult!: 3.0ms (49.9% of total)

ival-div!: 3.0ms (49.9% of total)

adjust: 0.0ms (0% of total)

preprocess22.0ms (1.2%)

Memory

-13.9MiB live, 33.5MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	53
1	46	53
2	86	53
3	145	53
4	210	53
5	280	53

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.4%	(/.f64 (*.f64 x y) z)

Symmetry

(negabs x)

(negabs y)

(negabs z)

(sort x y)

Compiler

Compiled 10 to 10 computations (0% saved)

series11.0ms (0.6%)

Memory

-24.4MiB live, 22.3MiB allocated; 4ms 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
4.0ms	y	@	-inf	((/ (* x y) z) (* x y) x y z)
2.0ms	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	@	0	((/ (* x y) z) (* x y) x y z)
1.0ms	y	@	inf	((/ (* x y) z) (* x y) x y z)

rewrite21.0ms (1.1%)

Memory

-2.8MiB live, 43.6MiB allocated; 4ms 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	107	38
0	107	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: 5.1MiB live, 5.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 134 to 44 computations (67.2% saved)

prune1.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms 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
✓	91.4%	(/.f64 (*.f64 x y) z)
▶	93.5%	(*.f64 (/.f64 y z) x)
▶	91.6%	(*.f64 (/.f64 x z) y)

Compiler

Compiled 15 to 15 computations (0% saved)

series7.0ms (0.4%)

Memory

19.5MiB live, 19.5MiB allocated; 0ms collecting garbage

Counts

7 → 7

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 z) x) #s(hole binary64 (/ (* x y) z)))
#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	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))
1.0ms	y	@	inf	((* (/ x z) y) (/ x z) x z y (* (/ y z) x) (/ y z))

rewrite13.0ms (0.7%)

Memory

-27.3MiB live, 22.1MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	64
0	24	64
1	36	64
2	59	64
3	110	64
4	114	64
0	114	64

Stop Event

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

Counts

14 → 38

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

eval2.0ms (0.1%)

Memory: 6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 156 to 52 computations (66.7% saved)

prune2.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB 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
✓	91.4%	(/.f64 (*.f64 x y) z)
✓	93.5%	(*.f64 (/.f64 y z) x)
✓	91.6%	(*.f64 (/.f64 x z) y)

Compiler

Compiled 30 to 24 computations (20% saved)

regimes8.0ms (0.4%)

Memory

23.4MiB live, 23.4MiB allocated; 0ms 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:

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

Results

Accuracy	Segments	Branch
99.7%	3	`(*.f64 x y)`
99.7%	2	`(/.f64 (*.f64 x y) z)`
97.2%	3	`x`
96.0%	2	`y`
99.7%	2	`z`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes6.0ms (0.3%)

Memory

-29.4MiB live, 17.9MiB allocated; 3ms 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:

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

Results

Accuracy	Segments	Branch
91.6%	1	`x`
91.6%	1	`y`
91.6%	1	`(*.f64 x y)`
91.6%	1	`(/.f64 (*.f64 x y) z)`
91.6%	1	`z`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

bsearch4.0ms (0.2%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	298.10333791503365	408738.85648467875

Samples

2.0ms

48×

valid

Compiler

Compiled 38 to 47 computations (-23.7% saved)

Precisions

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

adjust: 0.0ms (0% of total)

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

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

derivations2.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 19 to 10 computations (47.4% saved)

preprocess285.0ms (15.3%)

Memory

25.2MiB live, 499.4MiB allocated; 57ms collecting garbage

Remove

(negabs z)

(negabs x)

Compiler

Compiled 266 to 200 computations (24.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze56.0ms (3%)

sample631.0ms (33.9%)

explain790.0ms (42.4%)

preprocess22.0ms (1.2%)

series11.0ms (0.6%)

rewrite21.0ms (1.1%)

eval2.0ms (0.1%)

prune1.0ms (0.1%)

series7.0ms (0.4%)

rewrite13.0ms (0.7%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

regimes8.0ms (0.4%)

regimes6.0ms (0.3%)

bsearch4.0ms (0.2%)

derivations2.0ms (0.1%)

preprocess285.0ms (15.3%)

end0.0ms (0%)

Profiling