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

analyze77.0ms (6.4%)

Memory

-24.1MiB live, 77.3MiB allocated; 35ms 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)

sample678.0ms (57%)

Memory

-1.6MiB live, 841.5MiB allocated; 145ms collecting garbage

Samples

361.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-mult!: 56.0ms (55% of total)

ival-div!: 44.0ms (43.2% of total)

adjust: 2.0ms (2% of total)

Bogosity

explain65.0ms (5.4%)

Memory

29.2MiB live, 90.7MiB allocated; 32ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
28	-	3	(3.83569336879177e-261 4.47504449356482e-51 -8.757084224499435e-214)	`(/.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	17	0
↳	`(*.f64 x y)`	underflow	32
`/.f64`	`(/.f64 (*.f64 x y) z)`	o/n	8	0
↳	`(*.f64 x y)`	overflow	26

Confusion

	Predicted +	Predicted -
+	25	3
-	0	228

Precision

1.0

Recall

0.8928571428571429

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	25	0	3
-	0	0	228

Precision?

1.0

Recall?

0.8928571428571429

Freqs

test

number	freq
0	231
1	25

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

19.0ms

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 (53.6% of total)

ival-div!: 3.0ms (53.6% of total)

adjust: 0.0ms (0% of total)

preprocess19.0ms (1.6%)

Memory

-17.6MiB live, 28.3MiB allocated; 7ms 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
▶	90.9%	(/.f64 (*.f64 x y) z)

Symmetry

(negabs x)

(negabs y)

(negabs z)

(sort x y)

Compiler

Compiled 10 to 10 computations (0% saved)

series9.0ms (0.7%)

Memory

18.0MiB live, 18.0MiB allocated; 0ms 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
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	y	@	inf	((/ (* x y) z) (* x y) x y z)
1.0ms	x	@	0	((/ (* x y) z) (* x y) x y z)

rewrite21.0ms (1.8%)

Memory

-5.1MiB live, 40.5MiB 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 (0.2%)

Memory: 5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 154 to 45 computations (70.8% saved)

prune2.0ms (0.2%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	3	25

Accuracy

99.9%

Counts

25 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.9%	(/.f64 (*.f64 x y) z)
▶	92.8%	(*.f64 (/.f64 y z) x)
▶	94.6%	(*.f64 (/.f64 x z) y)

Compiler

Compiled 15 to 15 computations (0% saved)

series12.0ms (1%)

Memory

-26.6MiB live, 18.7MiB allocated; 6ms 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
5.0ms	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 (0.8%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms 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)

eval3.0ms (0.2%)

Memory: 6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 206 to 53 computations (74.3% saved)

prune14.0ms (1.2%)

Memory

-37.5MiB live, 10.9MiB allocated; 13ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	32	3	35

Accuracy

99.9%

Counts

35 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.9%	(/.f64 (*.f64 x y) z)
✓	92.8%	(*.f64 (/.f64 y z) x)
✓	94.6%	(*.f64 (/.f64 x z) y)

Compiler

Compiled 30 to 24 computations (20% saved)

regimes8.0ms (0.6%)

Memory

20.7MiB live, 20.7MiB 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 y z) x)
(*.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
99.8%	3	`(*.f64 x y)`
99.8%	2	`(/.f64 (*.f64 x y) z)`
94.6%	1	`x`
96.8%	2	`y`
99.7%	2	`z`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

regimes5.0ms (0.4%)

Memory

15.2MiB live, 15.2MiB 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	x
1.0ms	y
1.0ms	(*.f64 x y)
1.0ms	(/.f64 (*.f64 x y) z)

Results

Accuracy	Segments	Branch
94.6%	1	`x`
94.6%	1	`y`
94.6%	1	`(*.f64 x y)`
94.6%	1	`z`
94.6%	1	`(/.f64 (*.f64 x y) z)`

Compiler

Compiled 11 to 18 computations (-63.6% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.0121642218563245e-11	0.007430373665278754

Compiler

Compiled 8 to 11 computations (-37.5% saved)

derivations2.0ms (0.2%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 23 to 12 computations (47.8% saved)

preprocess264.0ms (22.2%)

Memory

4.3MiB live, 477.2MiB allocated; 48ms collecting garbage

Remove

(negabs y)

(sort x y)

(negabs z)

(negabs x)

Compiler

Compiled 296 to 210 computations (29.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze77.0ms (6.4%)

sample678.0ms (57%)

explain65.0ms (5.4%)

preprocess19.0ms (1.6%)

series9.0ms (0.7%)

rewrite21.0ms (1.8%)

eval2.0ms (0.2%)

prune2.0ms (0.2%)

series12.0ms (1%)

rewrite9.0ms (0.8%)

eval3.0ms (0.2%)

prune14.0ms (1.2%)

regimes8.0ms (0.6%)

regimes5.0ms (0.4%)

bsearch0.0ms (0%)

derivations2.0ms (0.2%)

preprocess264.0ms (22.2%)

end0.0ms (0%)

Profiling