Metrics for Linear.Projection:inversePerspective from linear-1.19.1.3, B

analyze22.0ms (1.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.3s (69.6%)

Results

1.3s

8256×

body

256

valid

Bogosity

preprocess215.0ms (11.5%)

Algorithm

1×	egg-herbie

Rules

1112×	`associate-/l*`
948×	`associate-*r/`
900×	`distribute-lft-neg-in`
796×	`distribute-rgt-neg-in`
764×	`associate-l`

FPErrors

Click to see full error table

truth	opred	ex	upred	ex	subexpr
197	5	(9.838319092863883e-36 -2.409163503185053e-279)	0	-	`#f`
59	0	-	5	(1.285487317892757e-92 -2.6524572085703336e-219)	`(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))`
0	0	-	0	-	`x`
0	0	-	0	-	`(*.f64 x 2)`
0	0	-	0	-	`(.f64 (.f64 x 2) y)`
0	0	-	0	-	`y`
0	0	-	0	-	`2`
0	0	-	0	-	`(-.f64 x y)`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	291
1	85	267
2	301	175
3	1673	175
4	6119	175

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))
(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))
(/.f64 (-.f64 (neg.f64 x) y) (.f64 (.f64 (neg.f64 x) 2) y))
(/.f64 (-.f64 x (neg.f64 y)) (.f64 (.f64 x 2) (neg.f64 y)))
(neg.f64 (/.f64 (-.f64 (neg.f64 x) y) (.f64 (.f64 (neg.f64 x) 2) y)))
(neg.f64 (/.f64 (-.f64 x (neg.f64 y)) (.f64 (.f64 x 2) (neg.f64 y))))
(/.f64 (-.f64 y x) (.f64 (.f64 y 2) x))

Outputs
(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))
(/.f64 (-.f64 x y) (.f64 x (.f64 y 2)))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))
(/.f64 (-.f64 x y) (.f64 x (.f64 y 2)))
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 (-.f64 (neg.f64 x) y) (.f64 (.f64 (neg.f64 x) 2) y))
(/.f64 (-.f64 (neg.f64 x) y) (.f64 y (.f64 2 (neg.f64 x))))
(/.f64 (-.f64 (neg.f64 x) y) (.f64 x (.f64 -2 y)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(/.f64 (-.f64 x (neg.f64 y)) (.f64 (.f64 x 2) (neg.f64 y)))
(/.f64 (+.f64 x y) (.f64 x (.f64 -2 y)))
(+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(neg.f64 (/.f64 (-.f64 (neg.f64 x) y) (.f64 (.f64 (neg.f64 x) 2) y)))
(/.f64 (-.f64 x (neg.f64 y)) (.f64 (.f64 x 2) (neg.f64 y)))
(/.f64 (+.f64 x y) (.f64 x (.f64 -2 y)))
(+.f64 (/.f64 -1/2 x) (/.f64 -1/2 y))
(neg.f64 (/.f64 (-.f64 x (neg.f64 y)) (.f64 (.f64 x 2) (neg.f64 y))))
(/.f64 (-.f64 (neg.f64 x) y) (.f64 y (.f64 2 (neg.f64 x))))
(/.f64 (-.f64 (neg.f64 x) y) (.f64 x (.f64 -2 y)))
(+.f64 (/.f64 1/2 x) (/.f64 1/2 y))
(/.f64 (-.f64 y x) (.f64 (.f64 y 2) x))
(/.f64 (-.f64 y x) (.f64 x (.f64 y 2)))
(+.f64 (/.f64 1/2 x) (/.f64 -1/2 y))

Compiler

Compiled 63 to 35 computations (44.4% saved)

eval1.0ms (0%)

Compiler: Compiled 18 to 12 computations (33.3% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
▶	100.0%	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize105.0ms (5.6%)

Compiler: Compiled 20 to 14 computations (30% 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 (/.f64 1/2 y) (/.f64 -1/2 x))

Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes11.0ms (0.6%)

Accuracy

Total -13.2b remaining (-∞%)

Threshold costs -13.2b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))
(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))

Outputs
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

Calls

3 calls:

4.0ms	y
3.0ms	x
3.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (-.f64 x y) (.f64 (.f64 x 2) y))`

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	13	25

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

Outputs
(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

Compiler

Compiled 9 to 7 computations (22.2% saved)

soundness174.0ms (9.4%)

Rules

1112×	`associate-/l*`
948×	`associate-*r/`
900×	`distribute-lft-neg-in`
796×	`distribute-rgt-neg-in`
764×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	291
1	85	267
2	301	175
3	1673	175
4	6119	175

Stop Event

1×	node limit

Compiler

Compiled 197 to 131 computations (33.5% saved)

end0.0ms (0%)

preprocess31.0ms (1.7%)

Compiler: Compiled 58 to 42 computations (27.6% saved)

analyze22.0ms (1.2%)

sample1.3s (69.6%)

preprocess215.0ms (11.5%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize105.0ms (5.6%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes11.0ms (0.6%)

simplify2.0ms (0.1%)

soundness174.0ms (9.4%)

end0.0ms (0%)

preprocess31.0ms (1.7%)

Profiling