Metrics for Linear.Quaternion:$csin from linear-1.19.1.3

analyze109.0ms (6.2%)

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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

Operation ival-cos, time spent: 94.0ms, 94.0% of total-time

Operation ival-mult, time spent: 3.0ms, 3.0% of total-time

Operation ival-div, time spent: 1.0ms, 1.0% of total-time

Operation ival-sinh, time spent: 1.0ms, 1.0% of total-time

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

sample1.2s (69.3%)

Results

522.0ms	4170×	256	infinite
639.0ms	4083×	256	valid
1.0ms	2×	1024	valid
0.0ms	1×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 439.0ms

Operation ival-cos, time spent: 231.0ms, 53.0% of total-time

Operation ival-div, time spent: 79.0ms, 18.0% of total-time

Operation ival-mult, time spent: 63.0ms, 14.0% of total-time

Operation ival-sinh, time spent: 57.0ms, 13.0% of total-time

Operation const, time spent: 9.0ms, 2.0% of total-time

Bogosity

preprocess358.0ms (20.4%)

Algorithm

1×	egg-herbie

Rules

1586×	`fma-neg`
896×	`associate-/r/`
778×	`div-sub`
674×	`associate-r`
622×	`sub-neg`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))`
-	-	`(cos.f64 x)`
-	-	`(/.f64 (sinh.f64 y) y)`
-	-	`y`
-	-	`(sinh.f64 y)`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	218
1	65	218
2	163	218
3	504	218
4	1981	218
5	6261	218

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y)))
(neg.f64 (*.f64 (cos.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y)))
(neg.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y))))
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x))

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(neg.f64 (*.f64 (cos.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y)))
(*.f64 (cos.f64 x) (neg.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (sinh.f64 y) y) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (neg.f64 (sinh.f64 y)) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) (neg.f64 y)))
(neg.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y))))
(*.f64 (cos.f64 x) (neg.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (sinh.f64 y) y) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (neg.f64 (sinh.f64 y)) y))
(*.f64 (sinh.f64 y) (/.f64 (cos.f64 x) (neg.f64 y)))
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x))
(*.f64 (sinh.f64 x) (/.f64 (cos.f64 y) x))

Symmetry

(abs x)

(abs y)

Compiler

Compiled 49 to 20 computations (59.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

Operation ival-mult, time spent: 128.0ms, 73.0% of total-time

Operation ival-cos, time spent: 40.0ms, 23.0% of total-time

Operation ival-div, time spent: 4.0ms, 2.0% of total-time

Operation ival-sinh, time spent: 3.0ms, 2.0% of total-time

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

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize41.0ms (2.3%)

Compiler: Compiled 20 to 7 computations (65% saved)
Precisions: Click to see histograms. Total time spent on operations: 12.0ms
Operation ival-cos, time spent: 6.0ms, 50.0% of total-time
Operation ival-mult, time spent: 2.0ms, 17.0% of total-time
Operation ival-div, time spent: 2.0ms, 17.0% of total-time
Operation ival-sinh, time spent: 2.0ms, 17.0% of total-time
Operation const, time spent: 0.0ms, 0.0% 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 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	13	30

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess26.0ms (1.5%)

Remove

(abs y)

(abs x)

Compiler

Compiled 108 to 72 computations (33.3% saved)

analyze109.0ms (6.2%)

sample1.2s (69.3%)

preprocess358.0ms (20.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize41.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess26.0ms (1.5%)

Profiling