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

analyze0.0ms (0%)

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 8 to 6 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample796.0ms (73.8%)

Results

530.0ms	7266×	256	valid
69.0ms	990×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

Operation ival-mult, time spent: 77.0ms, 47.0% of total-time

Operation ival-div, time spent: 71.0ms, 44.0% of total-time

Operation const, time spent: 15.0ms, 9.0% of total-time

Bogosity

preprocess113.0ms (10.4%)

Algorithm

1×	egg-herbie

Rules

161×	`fma-define`
58×	`fma-neg`
44×	`distribute-lft-neg-in`
30×	`associate-l`
27×	`distribute-rgt-neg-in`

FPErrors

Click to see full error table

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	141
1	46	141
2	101	133
3	215	133
4	412	133
5	612	133
6	642	133

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(negabs x)

(negabs y)

(sort x y)

Results

38.0ms	444×	256	valid
6.0ms	68×	256	infinite

Compiler

Compiled 35 to 19 computations (45.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

Operation ival-div, time spent: 5.0ms, 45.0% of total-time

Operation ival-mult, time spent: 5.0ms, 45.0% of total-time

Operation const, time spent: 1.0ms, 9.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize36.0ms (3.3%)

Results

24.0ms	222×	256	valid
3.0ms	34×	256	infinite

Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

Operation ival-div, time spent: 9.0ms, 76.0% of total-time

Operation ival-mult, time spent: 2.0ms, 17.0% of total-time

Operation const, time spent: 1.0ms, 8.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Accuracy

100.0%

Counts

1 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0.5%)

Accuracy

Total -0.0b remaining (-∞%)

Threshold costs -0b (-∞%)

Counts

2 → 1

Calls

Call 1

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

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

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify5.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	11	19

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

soundness95.0ms (8.8%)

Rules

161×	`fma-define`
58×	`fma-neg`
44×	`distribute-lft-neg-in`
30×	`associate-l`
27×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	141
1	46	141
2	101	133
3	215	133
4	412	133
5	612	133
6	642	133

Stop Event

1×

saturated

Compiler

Compiled 12 to 8 computations (33.3% saved)

end0.0ms (0%)

preprocess26.0ms (2.4%)

Remove

(sort x y)

(negabs y)

(negabs x)

Compiler

Compiled 112 to 80 computations (28.6% saved)

analyze0.0ms (0%)

sample796.0ms (73.8%)

preprocess113.0ms (10.4%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize36.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes5.0ms (0.5%)

simplify5.0ms (0.4%)

soundness95.0ms (8.8%)

end0.0ms (0%)

preprocess26.0ms (2.4%)

Profiling