Metrics for Numeric.Interval.Internal:scale from intervals-0.7.1, B

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 7 to 7 computations (0% saved)

sample912.0ms (36.5%)

Memory

15.4MiB live, 944.7MiB allocated; 250ms collecting garbage

Samples

626.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 276.0ms

ival-mult: 192.0ms (69.6% of total)

ival-div: 67.0ms (24.3% of total)

ival-true: 6.0ms (2.2% of total)

exact: 5.0ms (1.8% of total)

ival-assert: 3.0ms (1.1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain78.0ms (3.1%)

Memory

-22.6MiB live, 126.3MiB allocated; 57ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`y`
-	-	`#s(literal 2 binary64)`
-	-	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
-	-	`(*.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

22.0ms

512×

valid

Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 5.0ms (50.3% of total)

ival-div: 3.0ms (30.2% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess272.0ms (10.9%)

Memory

32.9MiB live, 267.6MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	31	27
2	70	25
3	152	25
4	247	25
5	420	25
6	1523	25
7	4833	25
0	5	5
0	7	5
1	12	5
2	18	5
3	31	5
4	59	5
5	163	5
6	1040	5
7	5503	5
0	8410	5

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))

Outputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))

Symmetry

(negabs y)

(negabs x)

(sort x y)

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (*.f64 x y) #s(literal 2 binary64))

Compiler

Compiled 5 to 5 computations (0% saved)

simplify149.0ms (6%)

Memory

8.8MiB live, 153.4MiB allocated; 14ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x y)
cost-diff	0	(/.f64 (*.f64 x y) #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	12	11
2	18	11
3	31	11
4	59	11
5	163	11
6	1040	11
7	5503	11
0	8410	11

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)

Outputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 x y)
(*.f64 y x)
x
y
#s(literal 2 binary64)

localize18.0ms (0.7%)

Memory

-13.2MiB live, 32.8MiB allocated; 7ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(/.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy	0.0	(*.f64 x y)

Samples

14.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (49.2% of total)

ival-mult: 2.0ms (49.2% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series4.0ms (0.2%)

Memory

10.2MiB live, 10.1MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)

Outputs
#s(approx (/ (* x y) 2) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* x y) #s(hole binary64 (* x y)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	((/ (* x y) 2) (* x y))
1.0ms	x	@	0	((/ (* x y) 2) (* x y))
1.0ms	x	@	inf	((/ (* x y) 2) (* x y))
1.0ms	y	@	-inf	((/ (* x y) 2) (* x y))
1.0ms	x	@	-inf	((/ (* x y) 2) (* x y))

simplify148.0ms (5.9%)

Memory

4.4MiB live, 96.6MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	17	18
2	30	18
3	45	18
4	73	18
5	179	18
6	1094	18
7	5305	18
0	8025	18

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (/ (* x y) 2) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* x y) #s(hole binary64 (* x y)))

Outputs
#s(approx (/ (* x y) 2) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (/ (* x y) 2) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
#s(approx (* x y) #s(hole binary64 (* x y)))
#s(approx (* x y) (*.f64 y x))

rewrite52.0ms (2.1%)

Memory

2.4MiB live, 54.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	16	8
0	47	8

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

2 → 10

Calls

Call 1

Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)

Outputs
(*.f64 (/.f64 y #s(literal 2 binary64)) x)
(*.f64 y (/.f64 x #s(literal 2 binary64)))
(*.f64 x (/.f64 y #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) y)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 y x) #s(literal -2 binary64)))
(*.f64 y x)
(*.f64 x y)

eval1.0ms (0%)

Memory: 1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 76 to 30 computations (60.5% saved)

prune70.0ms (2.8%)

Memory

-36.0MiB live, 6.1MiB allocated; 11ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	11	1	12
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	12	1	13

Accuracy

100.0%

Counts

13 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (/ (* x y) 2) (.f64 #s(literal 1/2 binary64) (.f64 y x)))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify152.0ms (6.1%)

Memory

37.0MiB live, 122.3MiB allocated; 21ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 y x))
cost-diff	0	#s(approx (/ (* x y) 2) (.f64 #s(literal 1/2 binary64) (.f64 y x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
0	11	22
1	19	22
2	32	22
3	47	22
4	75	22
5	181	22
6	1096	22
7	5305	22
0	8025	22

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (* x y) 2) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
#s(literal 1/2 binary64)
(*.f64 y x)
y
x

Outputs
#s(approx (/ (* x y) 2) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
#s(approx (/ (* x y) 2) (.f64 (.f64 #s(literal 1/2 binary64) x) y))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(.f64 (.f64 #s(literal 1/2 binary64) x) y)
#s(literal 1/2 binary64)
(*.f64 y x)
y
x

localize211.0ms (8.4%)

Memory

-55.8MiB live, 72.5MiB allocated; 125ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(.f64 #s(literal 1/2 binary64) (.f64 y x))
accuracy	0.0	#s(approx (/ (* x y) 2) (.f64 #s(literal 1/2 binary64) (.f64 y x)))

Samples

205.0ms

256×

valid

Compiler

Compiled 18 to 10 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 40.0ms (95% of total)

ival-div: 2.0ms (4.8% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

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

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (/ (* x y) 2) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(*.f64 y x)

Outputs
#s(approx (/ (* x y) 2) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* 1/2 (* y x)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* y x) #s(hole binary64 (* x y)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (* x y) 2) (* 1/2 (* y x)) (* y x))
0.0ms	y	@	-inf	((/ (* x y) 2) (* 1/2 (* y x)) (* y x))
0.0ms	y	@	inf	((/ (* x y) 2) (* 1/2 (* y x)) (* y x))
0.0ms	x	@	0	((/ (* x y) 2) (* 1/2 (* y x)) (* y x))
0.0ms	x	@	inf	((/ (* x y) 2) (* 1/2 (* y x)) (* y x))

simplify153.0ms (6.1%)

Memory

13.1MiB live, 101.1MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	23	29
2	35	29
3	48	29
4	76	29
5	182	29
6	1097	29
7	5307	29
0	8024	29

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (/ (* x y) 2) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* 1/2 (* y x)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (* y x) #s(hole binary64 (* x y)))

Outputs
#s(approx (/ (* x y) 2) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (/ (* x y) 2) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
#s(approx (* 1/2 (* y x)) #s(hole binary64 (* 1/2 (* x y))))
#s(approx (/ (* x y) 2) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
#s(approx (* y x) #s(hole binary64 (* x y)))
#s(approx (* y x) (*.f64 y x))

rewrite18.0ms (0.7%)

Memory

27.5MiB live, 27.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
0	11	19
1	24	19
0	62	19

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

3 → 9

Calls

Call 1

Inputs
#s(approx (/ (* x y) 2) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(*.f64 y x)

Outputs
#s(approx (/ (* x y) 2) (.f64 (.f64 y x) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) x) y)
(.f64 (.f64 #s(literal 1/2 binary64) y) x)
(.f64 (.f64 y x) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 y x))
(.f64 y (.f64 x #s(literal 1/2 binary64)))
(.f64 x (.f64 #s(literal 1/2 binary64) y))
(*.f64 y x)
(*.f64 x y)

eval1.0ms (0%)

Memory: 2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 125 to 29 computations (76.8% saved)

prune28.0ms (1.1%)

Memory

-35.8MiB live, 18.1MiB allocated; 17ms collecting garbage

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	1	12

Accuracy

100.0%

Counts

12 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (/ (* x y) 2) (.f64 #s(literal 1/2 binary64) (.f64 y x)))

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes5.0ms (0.2%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ (* x y) 2) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))

Outputs
#s(approx (/ (* x y) 2) (.f64 #s(literal 1/2 binary64) (.f64 y x)))

Calls

4 calls:

1.0ms	y
1.0ms	x
1.0ms	(/.f64 (*.f64 x y) #s(literal 2 binary64))
1.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 x y)`
100.0%	1	`(/.f64 (*.f64 x y) #s(literal 2 binary64))`
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 10 to 12 computations (-20% saved)

simplify55.0ms (2.2%)

Memory

-22.8MiB live, 67.3MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	14	11
2	20	11
3	34	11
4	74	11
5	412	11
6	3631	11

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (/ (* x y) 2) (.f64 #s(literal 1/2 binary64) (.f64 y x)))

Outputs
#s(approx (/ (* x y) 2) (.f64 #s(literal 1/2 binary64) (.f64 y x)))

derivations92.0ms (3.7%)

Memory

-0.2MiB live, 46.0MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 11 to 9 computations (18.2% saved)

preprocess72.0ms (2.9%)

Memory

5.5MiB live, 61.9MiB allocated; 9ms collecting garbage

Remove

(sort x y)

(negabs x)

(negabs y)

Compiler

Compiled 98 to 82 computations (16.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample912.0ms (36.5%)

explain78.0ms (3.1%)

preprocess272.0ms (10.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify149.0ms (6%)

localize18.0ms (0.7%)

series4.0ms (0.2%)

simplify148.0ms (5.9%)

rewrite52.0ms (2.1%)

eval1.0ms (0%)

prune70.0ms (2.8%)

simplify152.0ms (6.1%)

localize211.0ms (8.4%)

series3.0ms (0.1%)

simplify153.0ms (6.1%)

rewrite18.0ms (0.7%)

eval1.0ms (0%)

prune28.0ms (1.1%)

regimes5.0ms (0.2%)

simplify55.0ms (2.2%)

derivations92.0ms (3.7%)

preprocess72.0ms (2.9%)

end0.0ms (0%)

Profiling