Metrics for Diagrams.TwoD.Ellipse:ellipse from diagrams-lib-1.3.0.3

analyze6.0ms (0.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

Operation ival-sub, 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

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

sample1.2s (73.3%)

Results

948.0ms	8256×	256	valid
0.0ms	9×	256	invalid

Precisions

Click to see histograms. Total time spent on operations: 271.0ms

Operation ival-sqrt, time spent: 117.0ms, 43.0% of total-time

Operation ival-mult, time spent: 80.0ms, 30.0% of total-time

Operation ival-sub, time spent: 60.0ms, 22.0% of total-time

Operation const, time spent: 14.0ms, 5.0% of total-time

Bogosity

preprocess295.0ms (18.2%)

Algorithm

1×	egg-herbie

Rules

617×	`sub-neg`
594×	`fma-define`
569×	`distribute-lft-out`
429×	`associate-+r+`
399×	`fma-neg`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
-	-	`(*.f64 x x)`
-	-	`#s(literal 1 binary64)`
-	-	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	96
1	36	96
2	56	96
3	102	96
4	149	96
5	234	96
6	367	96
7	641	96
8	1242	96
9	2110	96
10	4771	96
11	6482	96
12	7255	96
13	7553	96
14	7609	96
15	7641	96
16	7906	96

Stop Event

1×	node limit

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))))
(neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))))

Outputs
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))
(neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))))
(neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))

Symmetry

(abs x)

Results

48.0ms

512×

256

valid

Compiler

Compiled 43 to 23 computations (46.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

Operation ival-sub, time spent: 6.0ms, 36.0% of total-time

Operation ival-mult, time spent: 5.0ms, 30.0% of total-time

Operation ival-sqrt, time spent: 5.0ms, 30.0% of total-time

Operation const, time spent: 1.0ms, 6.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize35.0ms (2.1%)

Results

25.0ms

256×

256

valid

Compiler

Compiled 18 to 9 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

Operation ival-mult, time spent: 4.0ms, 38.0% of total-time

Operation ival-sub, time spent: 3.0ms, 28.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 28.0% of total-time

Operation const, time spent: 1.0ms, 9.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 1 to 1 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%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg`
3×	`1-exp`
3×	`+-commutative`
2×	`*-commutative`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	20	23
2	27	23
3	31	23
4	33	23

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Outputs
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess93.0ms (5.8%)

Remove: (abs x)
Compiler: Compiled 56 to 40 computations (28.6% saved)

analyze6.0ms (0.4%)

sample1.2s (73.3%)

preprocess295.0ms (18.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize35.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify3.0ms (0.2%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess93.0ms (5.8%)

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