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)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.9s (70%)

Results

1.0s	5122×	256	valid
195.0ms	1304×	256	infinite
156.0ms	623×	1024	valid
96.0ms	485×	512	valid
248.0ms	349×	2048	valid
49.0ms	224×	512	infinite
37.0ms	148×	1024	infinite
0.0ms	1×	512	valid

Precisions

Click to see histograms. Total time spent on operations: 595.0ms

Operation ival-mult, time spent: 376.0ms, 63.0% of total-time

Operation ival-sub, time spent: 133.0ms, 22.0% of total-time

Operation ival-add, time spent: 75.0ms, 13.0% of total-time

Operation const, time spent: 12.0ms, 2.0% of total-time

Bogosity

preprocess384.0ms (14.1%)

Algorithm

1×	egg-herbie

Rules

1230×	`sub-neg`
1146×	`unsub-neg`
842×	`distribute-lft-out`
748×	`distribute-lft-out--`
720×	`fma-define`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
88	-	-	`(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))`
17	-	-	`(-.f64 (+.f64 (.f64 x y) (.f64 y y)) (*.f64 y z))`
12	-	-	`(+.f64 (.f64 x y) (.f64 y y))`
0	-	-	`x`
0	-	-	`(*.f64 y z)`
0	-	-	`(*.f64 y y)`
0	-	-	`y`
0	-	-	`(*.f64 x y)`
0	-	-	`z`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (+.f64 (.f64 x y) (.f64 y y)) (*.f64 y z))`	nan-rescue	17
↳	`(+.f64 (.f64 x y) (.f64 y y))`	overflow	77
↳	`(*.f64 y y)`	overflow	65
↳	`(*.f64 x y)`	overflow	33
↳	`(*.f64 y z)`	overflow	34
`+.f64`	`(+.f64 (.f64 x y) (.f64 y y))`	nan-rescue	12
↳	`(*.f64 x y)`	overflow	33
↳	`(*.f64 y y)`	overflow	66
`-.f64`	`(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))`	cancellation	34
`-.f64`	`(-.f64 (-.f64 (+.f64 (.f64 x y) (.f64 y y)) (.f64 y z)) (.f64 y y))`	nan-rescue	54
↳	`(-.f64 (+.f64 (.f64 x y) (.f64 y y)) (*.f64 y z))`	overflow	88
↳	`(+.f64 (.f64 x y) (.f64 y y))`	overflow	76
↳	`(*.f64 y z)`	overflow	34
↳	`(*.f64 y y)`	overflow	65
↳	`(*.f64 x y)`	overflow	33
↳	`(*.f64 y y)`	overflow	66

Confusion

	Predicted +	Predicted -
+	102	0
-	0	154

Precision

1.0

Recall

1.0

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	617
1	193	480
2	637	440
3	2684	250
4	5729	250
5	6647	250
6	7111	250
7	7224	250
8	7264	250
9	7271	250
10	7706	250

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

Symmetry

(negabs y)

Compiler

Compiled 134 to 38 computations (71.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

Operation ival-mult, time spent: 15.0ms, 55.0% of total-time

Operation ival-sub, time spent: 8.0ms, 29.0% of total-time

Operation ival-add, time spent: 4.0ms, 15.0% of total-time

Operation const, time spent: 1.0ms, 4.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 37 to 16 computations (56.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize25.0ms (0.9%)

Compiler: Compiled 15 to 6 computations (60% saved)
Precisions: Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-mult, time spent: 3.0ms, 55.0% of total-time
Operation ival-sub, time spent: 2.0ms, 37.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

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 y (-.f64 x z))

Compiler

Compiled 31 to 16 computations (48.4% saved)

regimes12.0ms (0.4%)

Accuracy

Total -24.5b remaining (-∞%)

Threshold costs -24.5b (-∞%)

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:

4.0ms	x
3.0ms	y
3.0ms	z
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 30 to 18 computations (40% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	15	22
2	20	22
3	22	22
4	23	22

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)

soundness313.0ms (11.5%)

Rules

1230×	`sub-neg`
1146×	`unsub-neg`
842×	`distribute-lft-out`
748×	`distribute-lft-out--`
720×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	617
1	193	480
2	637	440
3	2684	250
4	5729	250
5	6647	250
6	7111	250
7	7224	250
8	7264	250
9	7271	250
10	7706	250

Stop Event

1×	node limit

Compiler

Compiled 144 to 32 computations (77.8% saved)

end0.0ms (0%)

preprocess75.0ms (2.7%)

Remove: (negabs y)
Compiler: Compiled 100 to 58 computations (42% saved)

analyze0.0ms (0%)

sample1.9s (70%)

preprocess384.0ms (14.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize25.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes12.0ms (0.4%)

simplify2.0ms (0.1%)

soundness313.0ms (11.5%)

end0.0ms (0%)

preprocess75.0ms (2.7%)

Profiling