Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, D

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 13 to 10 computations (23.1% saved)

sample1.1s (87.3%)

Results

961.0ms	7216×	body	256	valid
95.0ms	1040×	body	256	infinite

Bogosity

preprocess90.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

2918×	`fma-def`
326×	`fma-neg`
244×	`cancel-sign-sub-inv`
178×	`distribute-lft-neg-in`
160×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	212
1	70	200
2	124	168
3	263	168
4	587	168
5	1253	168
6	2306	168
7	3165	168
8	3229	168
9	3237	168
10	3237	168

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
(-.f64 (/.f64 (*.f64 (neg.f64 x) y) 2) (/.f64 z 8))
(-.f64 (/.f64 (*.f64 x (neg.f64 y)) 2) (/.f64 z 8))
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 (neg.f64 z) 8))
(-.f64 (/.f64 (*.f64 y x) 2) (/.f64 z 8))
(-.f64 (/.f64 (*.f64 z y) 2) (/.f64 x 8))
(-.f64 (/.f64 (*.f64 x z) 2) (/.f64 y 8))

Outputs
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
(-.f64 (/.f64 x (/.f64 2 y)) (/.f64 z 8))
(-.f64 (*.f64 (/.f64 x 2) y) (/.f64 z 8))
(fma.f64 (/.f64 y 2) x (*.f64 -1/8 z))
(fma.f64 x (/.f64 y 2) (*.f64 z -1/8))
(fma.f64 x (.f64 1/2 y) (.f64 z -1/8))
(fma.f64 x (.f64 y 1/2) (.f64 z -1/8))
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
(-.f64 (/.f64 x (/.f64 2 y)) (/.f64 z 8))
(-.f64 (*.f64 (/.f64 x 2) y) (/.f64 z 8))
(fma.f64 (/.f64 y 2) x (*.f64 -1/8 z))
(fma.f64 x (/.f64 y 2) (*.f64 z -1/8))
(fma.f64 x (.f64 1/2 y) (.f64 z -1/8))
(fma.f64 x (.f64 y 1/2) (.f64 z -1/8))
(-.f64 (/.f64 (*.f64 (neg.f64 x) y) 2) (/.f64 z 8))
(-.f64 (/.f64 x (/.f64 2 (neg.f64 y))) (/.f64 z 8))
(-.f64 (/.f64 x (/.f64 -2 y)) (/.f64 z 8))
(fma.f64 (/.f64 x -2) y (*.f64 -1/8 z))
(fma.f64 y (.f64 -1/2 x) (.f64 z -1/8))
(fma.f64 x (.f64 y -1/2) (.f64 z -1/8))
(-.f64 (/.f64 (*.f64 x (neg.f64 y)) 2) (/.f64 z 8))
(-.f64 (/.f64 x (/.f64 2 (neg.f64 y))) (/.f64 z 8))
(-.f64 (/.f64 x (/.f64 -2 y)) (/.f64 z 8))
(fma.f64 (/.f64 x -2) y (*.f64 -1/8 z))
(fma.f64 y (.f64 -1/2 x) (.f64 z -1/8))
(fma.f64 x (.f64 y -1/2) (.f64 z -1/8))
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 (neg.f64 z) 8))
(-.f64 (/.f64 x (/.f64 2 y)) (neg.f64 (/.f64 z 8)))
(+.f64 (*.f64 (/.f64 x 2) y) (/.f64 z 8))
(fma.f64 (/.f64 x 2) y (/.f64 z 8))
(fma.f64 x (/.f64 y 2) (*.f64 1/8 z))
(fma.f64 x (.f64 1/2 y) (.f64 z 1/8))
(fma.f64 x (.f64 y 1/2) (.f64 z 1/8))
(-.f64 (/.f64 (*.f64 y x) 2) (/.f64 z 8))
(-.f64 (/.f64 x (/.f64 2 y)) (/.f64 z 8))
(-.f64 (*.f64 (/.f64 x 2) y) (/.f64 z 8))
(fma.f64 (/.f64 y 2) x (*.f64 -1/8 z))
(fma.f64 x (/.f64 y 2) (*.f64 z -1/8))
(fma.f64 x (.f64 1/2 y) (.f64 z -1/8))
(fma.f64 x (.f64 y 1/2) (.f64 z -1/8))
(-.f64 (/.f64 (*.f64 z y) 2) (/.f64 x 8))
(-.f64 (/.f64 z (/.f64 2 y)) (/.f64 x 8))
(-.f64 (*.f64 (/.f64 z 2) y) (/.f64 x 8))
(fma.f64 (/.f64 z 2) y (/.f64 x -8))
(fma.f64 y (/.f64 z 2) (*.f64 -1/8 x))
(fma.f64 y (.f64 1/2 z) (.f64 x -1/8))
(fma.f64 y (.f64 z 1/2) (.f64 x -1/8))
(-.f64 (/.f64 (*.f64 x z) 2) (/.f64 y 8))
(-.f64 (/.f64 x (/.f64 2 z)) (/.f64 y 8))
(fma.f64 (/.f64 x 2) z (/.f64 y -8))
(fma.f64 z (/.f64 x 2) (*.f64 -1/8 y))
(fma.f64 x (.f64 1/2 z) (.f64 y -1/8))
(fma.f64 x (.f64 z 1/2) (.f64 y -1/8))

Symmetry

(sort x y)

Compiler

Compiled 12 to 9 computations (25% saved)

eval1.0ms (0.1%)

Compiler: Compiled 53 to 35 computations (34% saved)

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
▶	100.0%	(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))

Compiler

Compiled 24 to 18 computations (25% saved)

localize32.0ms (2.6%)

Compiler: Compiled 29 to 16 computations (44.8% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 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 (*.f64 x y) 2) (/.f64 z 8))

Compiler

Compiled 24 to 18 computations (25% saved)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	15	25
2	22	25
3	26	25
4	29	25
5	30	25

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))

Outputs
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))

Compiler

Compiled 12 to 9 computations (25% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess24.0ms (2%)

Remove: (sort x y)
Compiler: Compiled 72 to 54 computations (25% saved)

analyze0.0ms (0%)

sample1.1s (87.3%)

preprocess90.0ms (7.4%)

eval1.0ms (0.1%)

prune2.0ms (0.1%)

localize32.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify4.0ms (0.3%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess24.0ms (2%)

Profiling