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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample1.8s (88%)

Memory

-130.6MiB live, 443.9MiB allocated; 1.7s collecting garbage

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult!: 63.0ms (60.4% of total)

ival-div!: 39.0ms (37.4% of total)

adjust: 1.0ms (1% of total)

Bogosity

explain41.0ms (2%)

Memory

-11.9MiB live, 35.4MiB allocated; 5ms 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

16.0ms

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 (54.5% of total)

ival-div!: 2.0ms (36.3% of total)

adjust: 0.0ms (0% of total)

preprocess92.0ms (4.6%)

Memory

40.8MiB live, 40.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	32	32
2	70	30
3	150	30
4	245	30
5	418	30
6	1518	30
7	4830	30

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(negabs x)

(negabs y)

(sort x y)

Compiler

Compiled 10 to 10 computations (0% saved)

series5.0ms (0.2%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Counts

5 → 4

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite36.0ms (1.8%)

Memory

-24.2MiB live, 21.6MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
0	14	35
1	26	35
0	64	35

Stop Event

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

Counts

9 → 17

Calls

Call 1

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

eval2.0ms (0.1%)

Memory: 1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 105 to 36 computations (65.7% saved)

prune3.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	16	1	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	17	1	18

Accuracy

100.0%

Counts

18 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

series4.0ms (0.2%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Counts

5 → 4

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite18.0ms (0.9%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	35
0	17	35
1	31	35
0	65	35

Stop Event

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

Counts

9 → 19

Calls

Call 1

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

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

eval2.0ms (0.1%)

Memory: 3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 118 to 43 computations (63.6% saved)

prune9.0ms (0.4%)

Memory

-37.3MiB live, 9.0MiB allocated; 3ms collecting garbage

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	1	20

Accuracy

100.0%

Counts

20 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 15 to 12 computations (20% saved)

regimes5.0ms (0.2%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-∞%)

Threshold costs -0b (-∞%)

Counts

2 → 1

Calls

Call 1

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

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

derivations1.0ms (0.1%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 5 to 5 computations (0% saved)

preprocess25.0ms (1.2%)

Memory

-17.4MiB live, 31.4MiB allocated; 11ms collecting garbage

Remove

(sort x y)

(negabs y)

(negabs x)

Compiler

Compiled 50 to 50 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (88%)

explain41.0ms (2%)

preprocess92.0ms (4.6%)

series5.0ms (0.2%)

rewrite36.0ms (1.8%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

series4.0ms (0.2%)

rewrite18.0ms (0.9%)

eval2.0ms (0.1%)

prune9.0ms (0.4%)

regimes5.0ms (0.2%)

derivations1.0ms (0.1%)

preprocess25.0ms (1.2%)

end0.0ms (0%)

Profiling