Metrics for ENA, Section 1.4, Exercise 4b, n=2

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25.7%	74.3%	0%	0%	0%	0
100%	25.7%	0%	74.3%	0%	0%	0%	1

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.6s (82.5%)

Results

1.0s	6147×	body	256	valid
323.0ms	1017×	body	1024	valid
229.0ms	1064×	body	512	valid
10.0ms	28×	body	2048	valid

Bogosity

preprocess106.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

1436×	`fma-def`
1038×	`distribute-lft-neg-in`
918×	`distribute-rgt-neg-in`
856×	`unswap-sqr`
718×	`associate-r`

Problems

193×	No Errors
62×	`(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))`
1×	`(pow.f64 (+.f64 x eps) 2)`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	278
1	73	246
2	209	238
3	893	196
4	4902	196

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 (neg.f64 x) eps) 2) (pow.f64 (neg.f64 x) 2))
(-.f64 (pow.f64 (+.f64 x (neg.f64 eps)) 2) (pow.f64 x 2))
(neg.f64 (-.f64 (pow.f64 (+.f64 (neg.f64 x) eps) 2) (pow.f64 (neg.f64 x) 2)))
(neg.f64 (-.f64 (pow.f64 (+.f64 x (neg.f64 eps)) 2) (pow.f64 x 2)))
(-.f64 (pow.f64 (+.f64 eps x) 2) (pow.f64 eps 2))

Outputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(.f64 eps (+.f64 eps (.f64 x 2)))
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(.f64 eps (+.f64 eps (.f64 x 2)))
(-.f64 (pow.f64 (+.f64 (neg.f64 x) eps) 2) (pow.f64 (neg.f64 x) 2))
(-.f64 (pow.f64 (+.f64 eps (neg.f64 x)) 2) (pow.f64 (neg.f64 x) 2))
(-.f64 (pow.f64 (-.f64 eps x) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (-.f64 x eps) 2) (pow.f64 x 2))
(.f64 eps (+.f64 eps (.f64 x -2)))
(-.f64 (pow.f64 (+.f64 x (neg.f64 eps)) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 eps (neg.f64 x)) 2) (pow.f64 (neg.f64 x) 2))
(-.f64 (pow.f64 (-.f64 eps x) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (-.f64 x eps) 2) (pow.f64 x 2))
(.f64 eps (+.f64 eps (.f64 x -2)))
(neg.f64 (-.f64 (pow.f64 (+.f64 (neg.f64 x) eps) 2) (pow.f64 (neg.f64 x) 2)))
(neg.f64 (-.f64 (pow.f64 (+.f64 eps (neg.f64 x)) 2) (pow.f64 (neg.f64 x) 2)))
(+.f64 (neg.f64 (pow.f64 (-.f64 eps x) 2)) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2))
(.f64 eps (-.f64 (.f64 x 2) eps))
(neg.f64 (-.f64 (pow.f64 (+.f64 x (neg.f64 eps)) 2) (pow.f64 x 2)))
(neg.f64 (-.f64 (pow.f64 (+.f64 eps (neg.f64 x)) 2) (pow.f64 (neg.f64 x) 2)))
(+.f64 (neg.f64 (pow.f64 (-.f64 eps x) 2)) (pow.f64 x 2))
(-.f64 (pow.f64 x 2) (pow.f64 (-.f64 eps x) 2))
(.f64 eps (-.f64 (.f64 x 2) eps))
(-.f64 (pow.f64 (+.f64 eps x) 2) (pow.f64 eps 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 eps 2))
(.f64 x (+.f64 x (.f64 2 eps)))

Compiler

Compiled 37 to 22 computations (40.5% saved)

eval3.0ms (0.1%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune3.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 eps (+.f64 eps (.f64 x 2)))
▶	100.0%	(.f64 eps (+.f64 eps (.f64 x 2)))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize29.0ms (1.5%)

Compiler: Compiled 21 to 13 computations (38.1% saved)

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 eps (+.f64 eps (.f64 x 2)))

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes9.0ms (0.4%)

Accuracy

Total -13.1b remaining (-∞%)

Threshold costs -13.1b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 eps (+.f64 eps (.f64 x 2)))
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

Outputs
(.f64 eps (+.f64 eps (.f64 x 2)))

Calls

3 calls:

3.0ms	eps
3.0ms	x
2.0ms	(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))`

Compiler

Compiled 35 to 24 computations (31.4% saved)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	14	28

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 eps (+.f64 eps (.f64 x 2)))

Outputs
(.f64 eps (+.f64 eps (.f64 x 2)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

soundness85.0ms (4.4%)

Rules

1436×	`fma-def`
1038×	`distribute-lft-neg-in`
918×	`distribute-rgt-neg-in`
856×	`unswap-sqr`
718×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	278
1	73	246
2	209	238
3	893	196
4	4902	196

Stop Event

1×	node limit

Compiler

Compiled 205 to 100 computations (51.2% saved)

end0.0ms (0%)

preprocess99.0ms (5.2%)

Compiler: Compiled 40 to 28 computations (30% saved)

analyze1.0ms (0%)

sample1.6s (82.5%)

preprocess106.0ms (5.5%)

eval3.0ms (0.1%)

prune3.0ms (0.1%)

localize29.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes9.0ms (0.4%)

simplify1.0ms (0.1%)

soundness85.0ms (4.4%)

end0.0ms (0%)

preprocess99.0ms (5.2%)

Profiling