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

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 (65.4%)

Results

670.0ms	4990×	body	256	valid
209.0ms	701×	body	1024	valid
176.0ms	1416×	body	256	infinite
174.0ms	396×	body	2048	valid
64.0ms	460×	body	512	valid
26.0ms	129×	body	1024	infinite
24.0ms	164×	body	512	infinite

Bogosity

preprocess85.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1416×	`sub-neg`
1166×	`unsub-neg`
840×	`distribute-lft-out`
724×	`fma-def`
556×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	275
1	170	153
2	576	109
3	2199	95
4	5390	95
5	7200	95
6	7941	95

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
(-.f64 (+.f64 (.f64 y y) (.f64 y (-.f64 x y))) (*.f64 y z))
(-.f64 (.f64 x y) (.f64 y z))
(*.f64 y (-.f64 x z))
(-.f64 (+.f64 (-.f64 (.f64 (neg.f64 x) y) (.f64 y y)) (.f64 y y)) (.f64 y z))
(+.f64 (.f64 y (-.f64 (neg.f64 x) y)) (-.f64 (.f64 y y) (*.f64 y z)))
(-.f64 (.f64 x (neg.f64 y)) (.f64 y z))
(*.f64 (neg.f64 y) (+.f64 x z))
(*.f64 y (-.f64 (neg.f64 x) z))
(-.f64 (+.f64 (-.f64 (.f64 x (neg.f64 y)) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) z))
(+.f64 (+.f64 (.f64 y y) (.f64 y (-.f64 (neg.f64 x) y))) (*.f64 y z))
(+.f64 (fma.f64 x (neg.f64 y) 0) (*.f64 y z))
(*.f64 y (+.f64 z (neg.f64 x)))
(*.f64 y (-.f64 z x))
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y (neg.f64 z)))
(-.f64 (+.f64 (.f64 y y) (.f64 y (-.f64 x y))) (*.f64 y (neg.f64 z)))
(+.f64 (fma.f64 x y 0) (*.f64 y z))
(*.f64 y (+.f64 x z))
(-.f64 (+.f64 (-.f64 (.f64 y x) (.f64 x x)) (.f64 x x)) (.f64 x z))
(+.f64 (.f64 x (-.f64 y x)) (-.f64 (.f64 x x) (*.f64 x z)))
(-.f64 (fma.f64 x y 0) (*.f64 x z))
(-.f64 (.f64 x y) (.f64 x z))
(*.f64 x (-.f64 y z))
(-.f64 (+.f64 (-.f64 (.f64 z y) (.f64 y y)) (.f64 y y)) (.f64 y x))
(+.f64 (+.f64 (.f64 y y) (.f64 y (-.f64 (neg.f64 x) y))) (*.f64 y z))
(+.f64 (fma.f64 x (neg.f64 y) 0) (*.f64 y z))
(*.f64 y (+.f64 z (neg.f64 x)))
(*.f64 y (-.f64 z x))
(-.f64 (+.f64 (-.f64 (.f64 x z) (.f64 z z)) (.f64 z z)) (.f64 z y))
(-.f64 (+.f64 (.f64 z z) (.f64 z (-.f64 x z))) (*.f64 y z))
(-.f64 (.f64 x z) (.f64 y z))
(*.f64 z (-.f64 x y))

Compiler

Compiled 21 to 12 computations (42.9% saved)

simplify187.0ms (9%)

Algorithm

1×	egg-herbie

Rules

1474×	`distribute-rgt-in`
1454×	`distribute-lft-in`
1038×	`sub-neg`
1022×	`unsub-neg`
914×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	32	21
2	102	19
3	285	13
4	894	13
5	2943	13
6	4719	13
7	5686	13
8	6354	13
9	6659	13
10	6814	13
11	6832	13
12	6832	13
13	6832	13

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

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

Outputs
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
(+.f64 (.f64 y (-.f64 x y)) (-.f64 (.f64 y y) (*.f64 y z)))
(-.f64 (fma.f64 x y 0) (*.f64 y z))
(-.f64 (.f64 x y) (.f64 y z))
(*.f64 y (-.f64 x z))

eval1.0ms (0%)

Compiler: Compiled 51 to 19 computations (62.7% 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)

localize21.0ms (1%)

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)

regimes54.0ms (2.6%)

Accuracy

Total -19.7b remaining (-∞%)

Threshold costs -19.7b (-∞%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

44.0ms	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
4.0ms	x
3.0ms	z
3.0ms	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 y)) (.f64 y z))`

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)

soundness298.0ms (14.3%)

Rules

1474×	`distribute-rgt-in`
1454×	`distribute-lft-in`
1038×	`sub-neg`
1022×	`unsub-neg`
914×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	32	21
2	102	19
3	285	13
4	894	13
5	2943	13
6	4719	13
7	5686	13
8	6354	13
9	6659	13
10	6814	13
11	6832	13
12	6832	13
13	6832	13

Stop Event

1×	node limit

Compiler

Compiled 72 to 25 computations (65.3% saved)

end0.0ms (0%)

preprocess67.0ms (3.2%)

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

analyze0.0ms (0%)

sample1.4s (65.4%)

preprocess85.0ms (4.1%)

simplify187.0ms (9%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize21.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes54.0ms (2.6%)

simplify4.0ms (0.2%)

soundness298.0ms (14.3%)

end0.0ms (0%)

preprocess67.0ms (3.2%)

Profiling