Metrics for Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, C

analyze14.0ms (0.8%)

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 8 to 6 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

Operation ival-mult, time spent: 2.0ms, 58.0% of total-time

Operation ival-div, time spent: 1.0ms, 29.0% of total-time

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

sample1.0s (56.3%)

Results

892.0ms	7220×	256	valid
103.0ms	1036×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

Operation ival-div, time spent: 86.0ms, 46.0% of total-time

Operation ival-mult, time spent: 86.0ms, 46.0% of total-time

Operation const, time spent: 15.0ms, 8.0% of total-time

Bogosity

preprocess262.0ms (14.7%)

Algorithm

1×	egg-herbie

Rules

1768×	`fma-def`
492×	`div-sub`
402×	`associate-*r/`
332×	`associate-/r*`
286×	`times-frac`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(/.f64 x (*.f64 y 2))`
0	-	-	`x`
0	-	-	`(*.f64 y 2)`
0	-	-	`y`
0	-	-	`2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	141
1	46	133
2	109	133
3	351	133
4	1180	133
5	2045	133
6	2632	133
7	3055	133
8	3625	133
9	3745	133
10	3780	133
11	3827	133
12	3849	133
13	3943	133
14	3943	133

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (*.f64 y 2))
(/.f64 x (*.f64 y 2))
(/.f64 (neg.f64 x) (*.f64 y 2))
(/.f64 x (*.f64 (neg.f64 y) 2))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y 2)))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) 2)))
(/.f64 y (*.f64 x 2))

Outputs
(/.f64 x (*.f64 y 2))
(*.f64 (/.f64 x y) 1/2)
(/.f64 x (*.f64 y 2))
(*.f64 (/.f64 x y) 1/2)
(/.f64 (neg.f64 x) (*.f64 y 2))
(*.f64 -1/2 (/.f64 x y))
(*.f64 (/.f64 x y) -1/2)
(*.f64 x (/.f64 -1/2 y))
(/.f64 x (*.f64 (neg.f64 y) 2))
(/.f64 (neg.f64 x) (*.f64 y 2))
(*.f64 -1/2 (/.f64 x y))
(*.f64 (/.f64 x y) -1/2)
(*.f64 x (/.f64 -1/2 y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y 2)))
(/.f64 x (*.f64 y 2))
(*.f64 (/.f64 x y) 1/2)
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) 2)))
(/.f64 x (*.f64 y 2))
(*.f64 (/.f64 x y) 1/2)
(/.f64 y (*.f64 x 2))
(*.f64 y (/.f64 1/2 x))

Symmetry

(negabs x)

(negabs y)

Compiler

Compiled 35 to 23 computations (34.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

Operation ival-mult, time spent: 8.0ms, 57.0% of total-time

Operation ival-div, time spent: 5.0ms, 35.0% of total-time

Operation const, time spent: 2.0ms, 14.0% 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%	(*.f64 (/.f64 x y) 1/2)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize129.0ms (7.2%)

Compiler: Compiled 14 to 7 computations (50% saved)
Precisions: Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-div, time spent: 3.0ms, 56.0% of total-time
Operation ival-mult, time spent: 2.0ms, 37.0% of total-time
Operation const, time spent: 1.0ms, 19.0% 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 (/.f64 x y) 1/2)

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes11.0ms (0.6%)

Accuracy

Total -0.2b remaining (-∞%)

Threshold costs -0.2b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 x y) 1/2)
(/.f64 x (*.f64 y 2))

Outputs
(*.f64 (/.f64 x y) 1/2)

Calls

4 calls:

3.0ms	(*.f64 y 2)
3.0ms	x
2.0ms	(/.f64 x (*.f64 y 2))
2.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 x (*.f64 y 2))`
100.0%	1	`(*.f64 y 2)`

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	11	19

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 x y) 1/2)

Outputs
(*.f64 (/.f64 x y) 1/2)

Compiler

Compiled 7 to 5 computations (28.6% saved)

soundness333.0ms (18.7%)

Rules

1768×	`fma-def`
492×	`div-sub`
402×	`associate-*r/`
332×	`associate-/r*`
286×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	141
1	46	133
2	109	133
3	351	133
4	1180	133
5	2045	133
6	2632	133
7	3055	133
8	3625	133
9	3745	133
10	3780	133
11	3827	133
12	3849	133
13	3943	133
14	3943	133

Stop Event

1×

saturated

Compiler

Compiled 50 to 34 computations (32% saved)

end0.0ms (0%)

preprocess23.0ms (1.3%)

Remove

(negabs y)

(negabs x)

Compiler

Compiled 84 to 60 computations (28.6% saved)

analyze14.0ms (0.8%)

sample1.0s (56.3%)

preprocess262.0ms (14.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize129.0ms (7.2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes11.0ms (0.6%)

simplify3.0ms (0.2%)

soundness333.0ms (18.7%)

end0.0ms (0%)

preprocess23.0ms (1.3%)

Profiling