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

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)

sample1.7s (72.8%)

Results

717.0ms	5026×	body	256	valid
259.0ms	452×	body	512	valid
203.0ms	413×	body	2048	valid
189.0ms	1296×	body	256	infinite
181.0ms	683×	body	1024	valid
70.0ms	228×	body	512	infinite
30.0ms	158×	body	1024	infinite

Bogosity

preprocess97.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1524×	`fma-neg`
1240×	`sub-neg`
740×	`fma-def`
722×	`+-commutative`
676×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	317
1	170	139
2	554	95
3	1870	95
4	5592	95
5	7273	95
6	7826	95

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 21 to 12 computations (42.9% saved)

simplify168.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

1214×	`sub-neg`
1178×	`fma-def`
1156×	`distribute-lft-out`
1094×	`distribute-lft-out--`
954×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	30	19
2	92	13
3	257	13
4	821	13
5	3490	13
6	5080	13
7	5742	13
8	5994	13
9	6107	13
10	6152	13
11	7407	13
12	7617	13
13	7821	13
14	7821	13

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 45 to 16 computations (64.4% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	1	5

Accurracy

100.0%

Counts

5 → 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)

localize27.0ms (1.2%)

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 (0.5%)

Accuracy

Total -20.5b remaining (-∞%)

Threshold costs -20.5b (-∞%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

soundness267.0ms (11.7%)

Rules

1214×	`sub-neg`
1178×	`fma-def`
1156×	`distribute-lft-out`
1094×	`distribute-lft-out--`
954×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	30	19
2	92	13
3	257	13
4	821	13
5	3490	13
6	5080	13
7	5742	13
8	5994	13
9	6107	13
10	6152	13
11	7407	13
12	7617	13
13	7821	13
14	7821	13

Stop Event

1×	node limit

Compiler

Compiled 61 to 17 computations (72.1% saved)

end0.0ms (0%)

preprocess39.0ms (1.7%)

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

analyze0.0ms (0%)

sample1.7s (72.8%)

preprocess97.0ms (4.3%)

simplify168.0ms (7.4%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize27.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes12.0ms (0.5%)

simplify4.0ms (0.2%)

soundness267.0ms (11.7%)

end0.0ms (0%)

preprocess39.0ms (1.7%)

Profiling