Details

analyze418.0ms (13.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
56.2%	43.7%	0.1%	5
65.6%	34.3%	0.1%	6
79.6%	20.3%	0.1%	7
83.5%	16.4%	0.1%	8
90.1%	9.8%	0.1%	9
91.9%	8%	0.1%	10
95.1%	4.8%	0.1%	11
96%	4%	0.1%	12
97.5%	2.4%	0.1%	13
97.9%	2%	0.1%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample28.0ms (0.9%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 25 to 17 computations (32% saved)

simplify276.0ms (8.8%)

Algorithm

1×	egg-herbie

Rules

1222×	`fma-neg_binary64`
983×	`fma-def_binary64`
688×	`div-sub_binary64`
423×	`sub-neg_binary64`
412×	`distribute-rgt-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	18	13
2	35	13
3	74	13
4	151	13
5	245	13
6	641	13
7	1125	13
8	2158	13
9	2729	13
10	3037	13
11	2995	13
12	3049	13
13	3063	13
14	3569	13
15	3559	13
16	3559	13
17	3559	13
18	3559	13
19	3559	13
20	3655	13
21	3703	13
22	3785	13
23	3593	13

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize11.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

series34.0ms (1.1%)

Counts

1 → 24

Calls

1 calls:

34.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

rewrite32.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`*-un-lft-identity_binary64`
40×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
19×	`distribute-lft-out--_binary64`
14×	`add-cube-cbrt_binary64`

Counts

1 → 60

Calls

1 calls:

21.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

simplify150.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

702×	`fma-def_binary64`
518×	`times-frac_binary64`
339×	`fma-neg_binary64`
291×	`distribute-rgt-in_binary64`
228×	`cancel-sign-sub-inv_binary64`

Counts

84 → 109

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	224	2433
1	635	2369
2	2115	2256
3	4853	2256
4	5045	2256

prune129.0ms (4.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	107	3	110

Error

Counts

110 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
	37.6b	(+.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 -2 x))
▶	0.1b	(/.f64 1 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))

Compiler

Compiled 2610 to 1345 computations (48.5% saved)

localize13.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))
✓	0.1b	(/.f64 1 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))

series70.0ms (2.3%)

Counts

2 → 48

Calls

2 calls:

41.0ms	(/.f64 1 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))
29.0ms	(/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))

rewrite114.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Rules

292×	`*-un-lft-identity_binary64`
258×	`times-frac_binary64`
214×	`add-sqr-sqrt_binary64`
100×	`add-cube-cbrt_binary64`
83×	`distribute-lft-out--_binary64`

Counts

2 → 230

Calls

2 calls:

30.0ms	(/.f64 1 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))
17.0ms	(/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))

simplify406.0ms (13%)

Algorithm

1×	egg-herbie

Rules

814×	`times-frac_binary64`
253×	`fma-neg_binary64`
207×	`fma-def_binary64`
179×	`+-commutative_binary64`
143×	`associate--r+_binary64`

Counts

278 → 300

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	338	7906
1	968	7346
2	3444	7309
3	4998	7309
4	4964	7309

prune339.0ms (10.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	300	0	300
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	300	3	303

Error

Counts

303 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
▶	37.6b	(+.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 -2 x))
✓	0.1b	(/.f64 1 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))

Compiler

Compiled 7730 to 3998 computations (48.3% saved)

localize15.0ms (0.5%)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
✓	37.6b	(+.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 -2 x))
✓	0.1b	(/.f64 1 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)))

Compiler

Compiled 36 to 25 computations (30.6% saved)

regimes79.0ms (2.5%)

Accuracy

Total 0.0b remaining (39.5%)

Threshold costs 0.0b (39.5%)

Counts

14 → 1

Compiler

Compiled 499 to 355 computations (28.9% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
5×	`sub-neg_binary64`
3×	`*-commutative_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	13	13
2	24	13
3	32	13
4	36	13
5	37	13
6	37	13

end1.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

sample996.0ms (31.9%)

Algorithm

1×

intervals

Results

528.0ms	7997×	body	128	valid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 61 to 42 computations (31.1% saved)

Details

analyze418.0ms (13.4%)

sample28.0ms (0.9%)

simplify276.0ms (8.8%)

prune3.0ms (0.1%)

localize11.0ms (0.4%)

series34.0ms (1.1%)

rewrite32.0ms (1%)

simplify150.0ms (4.8%)

prune129.0ms (4.1%)

localize13.0ms (0.4%)

series70.0ms (2.3%)

rewrite114.0ms (3.6%)

simplify406.0ms (13%)

prune339.0ms (10.9%)

localize15.0ms (0.5%)

prune3.0ms (0.1%)

regimes79.0ms (2.5%)

simplify5.0ms (0.2%)

end1.0ms (0%)

sample996.0ms (31.9%)

Profiling