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

sample1.3s (86.1%)

Results

1.1s	7198×	256	valid
206.0ms	1057×	256	infinite
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 416.0ms

Operation ival-div, time spent: 317.0ms, 76.0% of total-time

Operation ival-mult, time spent: 85.0ms, 20.0% of total-time

Operation const, time spent: 14.0ms, 3.0% of total-time

Bogosity

preprocess107.0ms (7%)

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)

Compiler

Compiled 35 to 19 computations (45.7% saved)

Precisions

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

Operation ival-mult, time spent: 5.0ms, 51.0% of total-time

Operation ival-div, time spent: 4.0ms, 41.0% of total-time

Operation const, time spent: 1.0ms, 10.0% 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)

localize32.0ms (2.1%)

Compiler: Compiled 14 to 9 computations (35.7% saved)
Precisions: Click to see histograms. Total time spent on operations: 7.0ms
Operation ival-div, time spent: 4.0ms, 56.0% of total-time
Operation ival-mult, time spent: 2.0ms, 28.0% of total-time
Operation const, time spent: 1.0ms, 14.0% 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)

regimes6.0ms (0.4%)

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:

2.0ms	x
2.0ms	y
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)

simplify3.0ms (0.2%)

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)

soundness36.0ms (2.4%)

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 (1.7%)

Remove

(sort x y)

(negabs y)

(negabs x)

Compiler

Compiled 112 to 80 computations (28.6% saved)

analyze0.0ms (0%)

sample1.3s (86.1%)

preprocess107.0ms (7%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize32.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes6.0ms (0.4%)

simplify3.0ms (0.2%)

soundness36.0ms (2.4%)

end0.0ms (0%)

preprocess26.0ms (1.7%)

Profiling