Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, C

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 19 to 10 computations (47.4% saved)

sample1.4s (67.8%)

Results

570.0ms	4987×	body	256	valid
273.0ms	701×	body	1024	valid
158.0ms	1287×	body	256	infinite
141.0ms	396×	body	2048	valid
69.0ms	463×	body	512	valid
64.0ms	239×	body	512	infinite
61.0ms	183×	body	1024	infinite

Bogosity

preprocess182.0ms (9.1%)

Algorithm

1×	egg-herbie

Rules

1550×	`sub-neg`
1116×	`unsub-neg`
1008×	`fma-def`
792×	`distribute-lft-out`
704×	`distribute-rgt-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	263
1	180	195
2	582	175
3	2364	95
4	5194	95
5	6155	95
6	6575	95
7	6669	95
8	6704	95
9	6710	95
10	6977	95
11	7241	95
12	7979	95

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))
(-.f64 (-.f64 (+.f64 (.f64 (neg.f64 x) y) (.f64 y y)) (.f64 y z)) (.f64 y y))
(-.f64 (-.f64 (+.f64 (.f64 x (neg.f64 y)) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 y) (neg.f64 y)))
(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y (neg.f64 z))) (.f64 y y))
(-.f64 (-.f64 (+.f64 (.f64 y x) (.f64 x x)) (.f64 x z)) (.f64 x x))
(-.f64 (-.f64 (+.f64 (.f64 z y) (.f64 y y)) (.f64 y x)) (.f64 y y))
(-.f64 (-.f64 (+.f64 (.f64 x z) (.f64 z z)) (.f64 z y)) (.f64 z z))

Outputs
(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))
(-.f64 (.f64 y (+.f64 x y)) (.f64 y (+.f64 z y)))
(*.f64 y (-.f64 (+.f64 x y) (+.f64 y z)))
(*.f64 y (-.f64 (+.f64 y (-.f64 x z)) y))
(*.f64 y (-.f64 x z))
(-.f64 (-.f64 (+.f64 (.f64 (neg.f64 x) y) (.f64 y y)) (.f64 y z)) (.f64 y y))
(-.f64 (.f64 y (+.f64 (neg.f64 x) y)) (.f64 y (+.f64 z y)))
(*.f64 y (-.f64 (fma.f64 -1 x y) (+.f64 y z)))
(*.f64 y (-.f64 (-.f64 y x) (+.f64 y z)))
(*.f64 y (-.f64 (neg.f64 x) z))
(*.f64 y (neg.f64 (+.f64 x z)))
(-.f64 (-.f64 (+.f64 (.f64 x (neg.f64 y)) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) z)) (.f64 (neg.f64 y) (neg.f64 y)))
(-.f64 (+.f64 (.f64 y (+.f64 (neg.f64 x) y)) (.f64 y z)) (*.f64 y y))
(*.f64 y (-.f64 (+.f64 y z) (+.f64 x y)))
(*.f64 y (-.f64 (+.f64 y (-.f64 z x)) y))
(*.f64 y (-.f64 z x))
(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y (neg.f64 z))) (.f64 y y))
(-.f64 (.f64 y (+.f64 x y)) (+.f64 (.f64 y (neg.f64 z)) (*.f64 y y)))
(-.f64 (.f64 y (+.f64 x y)) (.f64 y (-.f64 y z)))
(*.f64 y (-.f64 (+.f64 x y) (-.f64 y z)))
(*.f64 y (+.f64 x z))
(-.f64 (-.f64 (+.f64 (.f64 y x) (.f64 x x)) (.f64 x z)) (.f64 x x))
(-.f64 (.f64 x (+.f64 y x)) (+.f64 (.f64 x z) (*.f64 x x)))
(-.f64 (.f64 x (+.f64 x y)) (.f64 x (+.f64 x z)))
(*.f64 x (-.f64 (+.f64 x y) (+.f64 x z)))
(*.f64 x (-.f64 y z))
(-.f64 (-.f64 (+.f64 (.f64 z y) (.f64 y y)) (.f64 y x)) (.f64 y y))
(-.f64 (+.f64 (.f64 y (+.f64 (neg.f64 x) y)) (.f64 y z)) (*.f64 y y))
(*.f64 y (-.f64 (+.f64 y z) (+.f64 x y)))
(*.f64 y (-.f64 (+.f64 y (-.f64 z x)) y))
(*.f64 y (-.f64 z x))
(-.f64 (-.f64 (+.f64 (.f64 x z) (.f64 z z)) (.f64 z y)) (.f64 z z))
(-.f64 (-.f64 (.f64 z (+.f64 x z)) (.f64 y z)) (*.f64 z z))
(-.f64 (.f64 z (+.f64 x z)) (.f64 z (+.f64 y z)))
(*.f64 z (-.f64 (+.f64 x z) (+.f64 y z)))
(*.f64 z (-.f64 x y))

Compiler

Compiled 21 to 12 computations (42.9% saved)

simplify127.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

1528×	`sub-neg`
1166×	`distribute-lft-out`
982×	`unsub-neg`
908×	`associate--l-`
824×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	32	31
2	92	25
3	261	13
4	699	13
5	2313	13
6	4167	13
7	4615	13
8	5093	13
9	5423	13
10	5513	13
11	6118	13
12	7423	13

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs
(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))

Outputs
(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))
(-.f64 (.f64 y (+.f64 x y)) (+.f64 (.f64 y z) (*.f64 y y)))
(-.f64 (.f64 y (+.f64 x y)) (.f64 y (+.f64 z y)))
(*.f64 y (-.f64 (-.f64 (+.f64 x y) z) y))
(*.f64 y (-.f64 x z))

eval1.0ms (0%)

Compiler: Compiled 56 to 21 computations (62.5% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	1	6

Accurracy

100.0%

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 y (-.f64 x z))
▶	100.0%	(*.f64 y (-.f64 x z))

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize29.0ms (1.4%)

Compiler: Compiled 15 to 6 computations (60% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 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

Accurracy

100.0%

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 y (-.f64 x z))

Compiler

Compiled 31 to 16 computations (48.4% saved)

regimes12.0ms (0.6%)

Accuracy

Total -21.7b remaining (-∞%)

Threshold costs -21.7b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 y (-.f64 x z))
(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))

Outputs
(*.f64 y (-.f64 x z))

Calls

4 calls:

3.0ms	x
3.0ms	z
3.0ms	y
3.0ms	(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))`

Compiler

Compiled 53 to 29 computations (45.3% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	11	13
2	16	13
3	18	13
4	19	13

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 y (-.f64 x z))

Outputs
(*.f64 y (-.f64 x z))

Compiler

Compiled 8 to 5 computations (37.5% saved)

soundness258.0ms (13%)

Rules

1528×	`sub-neg`
1166×	`distribute-lft-out`
982×	`unsub-neg`
908×	`associate--l-`
824×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	32	31
2	92	25
3	261	13
4	699	13
5	2313	13
6	4167	13
7	4615	13
8	5093	13
9	5423	13
10	5513	13
11	6118	13
12	7423	13

Stop Event

1×	node limit

Compiler

Compiled 106 to 25 computations (76.4% saved)

end0.0ms (0%)

preprocess26.0ms (1.3%)

Compiler: Compiled 68 to 38 computations (44.1% saved)

analyze0.0ms (0%)

sample1.4s (67.8%)

preprocess182.0ms (9.1%)

simplify127.0ms (6.4%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize29.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes12.0ms (0.6%)

simplify4.0ms (0.2%)

soundness258.0ms (13%)

end0.0ms (0%)

preprocess26.0ms (1.3%)

Profiling