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

analyze144.0ms (7.2%)

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)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

Operation ival-add, time spent: 112.0ms, 93.0% of total-time

Operation ival-mult, time spent: 5.0ms, 4.0% of total-time

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

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

sample1.3s (65.6%)

Results

1.2s	8254×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 331.0ms

Operation ival-mult, time spent: 130.0ms, 39.0% of total-time

Operation ival-add, time spent: 110.0ms, 33.0% of total-time

Operation ival-div, time spent: 76.0ms, 23.0% of total-time

Operation const, time spent: 15.0ms, 5.0% of total-time

Bogosity

preprocess220.0ms (11%)

Algorithm

1×	egg-herbie

Rules

895×	`div-sub`
416×	`distribute-rgt-in`
416×	`distribute-lft-in`
309×	`sub-neg`
289×	`fma-neg`

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
57	-	1	(-5.805395701102403e-135 7.68241043717274e-178)	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
0	-	0	-	`x`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`(+.f64 x y)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	283
1	74	259
2	222	259
3	874	235
4	2917	193
5	7016	193

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 63 to 35 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

Operation ival-mult, time spent: 21.0ms, 69.0% of total-time

Operation ival-div, time spent: 4.0ms, 13.0% of total-time

Operation ival-add, time spent: 4.0ms, 13.0% of total-time

Operation const, time spent: 2.0ms, 7.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 29 to 21 computations (27.6% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 11 to 9 computations (18.2% saved)

localize60.0ms (3%)

Compiler: Compiled 28 to 21 computations (25% saved)
Precisions: Click to see histograms. Total time spent on operations: 17.0ms
Operation ival-div, time spent: 8.0ms, 47.0% of total-time
Operation ival-mult, time spent: 6.0ms, 35.0% of total-time
Operation const, time spent: 2.0ms, 12.0% of total-time
Operation ival-sub, time spent: 1.0ms, 6.0% 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 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) y))

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes6.0ms (0.3%)

Accuracy

Total -13.4b remaining (-∞%)

Threshold costs -13.4b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

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

Calls

3 calls:

3.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg`
4×	`*-commutative`
4×	`+-commutative`
3×	`neg-sub0`
3×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	18	31
2	26	31
3	32	31
4	37	31
5	39	31

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

soundness170.0ms (8.5%)

Rules

895×	`div-sub`
416×	`distribute-rgt-in`
416×	`distribute-lft-in`
309×	`sub-neg`
289×	`fma-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	283
1	74	259
2	222	259
3	874	235
4	2917	193
5	7016	193

Stop Event

1×	node limit

Compiler

Compiled 295 to 204 computations (30.8% saved)

end0.0ms (0%)

preprocess82.0ms (4.1%)

Remove: (sort x y)
Compiler: Compiled 106 to 82 computations (22.6% saved)

analyze144.0ms (7.2%)

sample1.3s (65.6%)

preprocess220.0ms (11%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize60.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes6.0ms (0.3%)

simplify3.0ms (0.2%)

soundness170.0ms (8.5%)

end0.0ms (0%)

preprocess82.0ms (4.1%)

Profiling