Metrics for Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, G

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 10 to 8 computations (20% saved)

Precisions

Click to see histograms

Operation ival-mult, total time spent: 0.0ms

Operation ival-div, total time spent: 0.0ms

Operation ival-add, total time spent: 0.0ms

Operation const, total time spent: 0.0ms

sample1.2s (78.8%)

Results

1.1s

8256×

body

256

valid

Precisions

Click to see histograms

Operation ival-mult, total time spent: 146.0ms

Operation ival-div, total time spent: 80.0ms

Operation ival-add, total time spent: 54.0ms

Operation const, total time spent: 24.0ms

Bogosity

preprocess144.0ms (9.6%)

Algorithm

1×	egg-herbie

Rules

428×	`fma-def`
54×	`distribute-lft-neg-in`
48×	`fma-neg`
46×	`distribute-lft-in`
42×	`distribute-rgt-in`

Problems

256×

No Errors

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	141
1	68	133
2	190	133
3	344	133
4	504	133
5	650	133
6	678	133
7	684	133

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 29 to 20 computations (31% saved)

Precisions

Click to see histograms

Operation ival-mult, total time spent: 2.0ms

Operation ival-div, total time spent: 4.0ms

Operation ival-add, total time spent: 2.0ms

Operation const, total time spent: 2.0ms

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 1/2 (+.f64 x y))
▶	100.0%	(*.f64 1/2 (+.f64 x y))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize45.0ms (3%)

Compiler: Compiled 14 to 7 computations (50% saved)
Precisions: Click to see histograms
Operation ival-mult, total time spent: 3.0ms
Operation ival-add, total time spent: 2.0ms
Operation const, total time spent: 1.0ms

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 1/2 (+.f64 x y))

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes47.0ms (3.2%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

38.0ms	x
3.0ms	(*.f64 (/.f64 1 2) (+.f64 x y))
3.0ms	(+.f64 x y)
3.0ms	y

Results

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

Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	12	19

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

soundness41.0ms (2.8%)

Rules

428×	`fma-def`
54×	`distribute-lft-neg-in`
48×	`fma-neg`
46×	`distribute-lft-in`
42×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	141
1	68	133
2	190	133
3	344	133
4	504	133
5	650	133
6	678	133
7	684	133

Stop Event

1×

saturated

Compiler

Compiled 14 to 9 computations (35.7% saved)

end0.0ms (0%)

preprocess35.0ms (2.3%)

Remove: (sort x y)
Compiler: Compiled 74 to 54 computations (27% saved)

analyze0.0ms (0%)

sample1.2s (78.8%)

preprocess144.0ms (9.6%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize45.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes47.0ms (3.2%)

simplify2.0ms (0.1%)

soundness41.0ms (2.8%)

end0.0ms (0%)

preprocess35.0ms (2.3%)

Profiling