Details

analyze58.0ms (1%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
74.9%	25%	0.1%	7
81.2%	18.7%	0.1%	8
87.4%	12.5%	0.1%	9
90.5%	9.4%	0.1%	10
93.7%	6.2%	0.1%	11
95.2%	4.7%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample1.3s (22.7%)

Results

1.1s	8254×	body	128	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Rules

546×	`fma-neg_binary64`
369×	`fma-def_binary64`
317×	`div-sub_binary64`
278×	`times-frac_binary64`
113×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	15	10
2	22	10
3	37	10
4	64	10
5	107	10
6	192	10
7	359	10
8	642	10
9	877	10
10	1142	10
11	1146	10
12	1156	10
13	1156	10
14	1064	10

prune2.0ms (0%)

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 1 y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

8.0ms

(/.f64 (-.f64 x y) (-.f64 1 y))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`*-un-lft-identity_binary64`
46×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
19×	`difference-of-squares_binary64`
14×	`add-cube-cbrt_binary64`

Counts

1 → 60

Calls

1 calls:

6.0ms

(/.f64 (-.f64 x y) (-.f64 1 y))

simplify109.0ms (2%)

Algorithm

1×	egg-herbie

Rules

779×	`times-frac_binary64`
532×	`fma-neg_binary64`
266×	`fma-def_binary64`
231×	`div-sub_binary64`
213×	`associate--l+_binary64`

Counts

84 → 78

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	1541
1	341	1491
2	936	1482
3	2955	1482
4	4928	1482
5	5000	1482
6	4962	1482

prune55.0ms (1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	3	79

Error

Counts

79 → 3

Alt Table

Status	Error	Program
	21.9b	(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y))) (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 1 y))))
▶	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
	14.6b	(.f64 (/.f64 (-.f64 x y) (-.f64 1 (.f64 y y))) (+.f64 1 y))

Compiler

Compiled 1341 to 675 computations (49.7% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series37.0ms (0.7%)

Counts

3 → 39

Calls

3 calls:

27.0ms	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
8.0ms	(/.f64 x (-.f64 1 y))
2.0ms	(/.f64 y (-.f64 1 y))

rewrite204.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Rules

1031×	`*-un-lft-identity_binary64`
1019×	`add-sqr-sqrt_binary64`
956×	`times-frac_binary64`
576×	`prod-diff_binary64`
527×	`add-cube-cbrt_binary64`

Counts

3 → 741

Calls

3 calls:

39.0ms	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
4.0ms	(/.f64 y (-.f64 1 y))
4.0ms	(/.f64 x (-.f64 1 y))

simplify797.0ms (14.3%)

Algorithm

1×	egg-herbie

Rules

569×	`fma-neg_binary64`
413×	`unsub-neg_binary64`
374×	`times-frac_binary64`
314×	`fma-udef_binary64`
291×	`sub-neg_binary64`

Counts

780 → 730

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	595	39480
1	1324	26667
2	3164	20215
3	4213	20167
4	4917	20167
5	4807	20167

prune671.0ms (12%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	729	1	730
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	730	3	733

Error

Counts

733 → 3

Alt Table

Status	Error	Program
	28.4b	(-.f64 (neg.f64 (/.f64 x y)) (/.f64 y (-.f64 1 y)))
▶	14.6b	(.f64 (/.f64 (-.f64 x y) (-.f64 1 (.f64 y y))) (+.f64 1 y))
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))

Compiler

Compiled 34236 to 21290 computations (37.8% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 (-.f64 x y) (-.f64 1 (.f64 y y))) (+.f64 1 y))
✓	14.0b	(/.f64 (-.f64 x y) (-.f64 1 (*.f64 y y)))

series55.0ms (1%)

Counts

2 → 48

Calls

2 calls:

30.0ms	(.f64 (/.f64 (-.f64 x y) (-.f64 1 (.f64 y y))) (+.f64 1 y))
25.0ms	(/.f64 (-.f64 x y) (-.f64 1 (*.f64 y y)))

rewrite52.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`add-sqr-sqrt_binary64`
61×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
33×	`difference-of-squares_binary64`
31×	`associate-l_binary64`

Counts

2 → 113

Calls

2 calls:

37.0ms	(.f64 (/.f64 (-.f64 x y) (-.f64 1 (.f64 y y))) (+.f64 1 y))
6.0ms	(/.f64 (-.f64 x y) (-.f64 1 (*.f64 y y)))

simplify92.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

911×	`fma-def_binary64`
760×	`distribute-rgt-in_binary64`
393×	`times-frac_binary64`
163×	`cancel-sign-sub-inv_binary64`
155×	`sub-neg_binary64`

Counts

161 → 196

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	221	3816
1	736	3506
2	2218	3179
3	5251	3179

prune113.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	196	3	199

Error

Counts

199 → 3

Alt Table

Status	Error	Program
▶	28.4b	(-.f64 (neg.f64 (/.f64 x y)) (/.f64 y (-.f64 1 y)))
✓	14.6b	(.f64 (/.f64 (-.f64 x y) (-.f64 1 (.f64 y y))) (+.f64 1 y))
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))

Compiler

Compiled 4341 to 2196 computations (49.4% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (neg.f64 (/.f64 x y)) (/.f64 y (-.f64 1 y)))
	0.0b	(/.f64 y (-.f64 1 y))

series8.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

8.0ms

(-.f64 (neg.f64 (/.f64 x y)) (/.f64 y (-.f64 1 y)))

rewrite277.0ms (5%)

Algorithm

1×	rewrite-expression-head

Rules

1013×	`times-frac_binary64`
978×	`*-un-lft-identity_binary64`
970×	`add-sqr-sqrt_binary64`
720×	`prod-diff_binary64`
686×	`add-cube-cbrt_binary64`

Counts

1 → 796

Calls

1 calls:

56.0ms

(-.f64 (neg.f64 (/.f64 x y)) (/.f64 y (-.f64 1 y)))

simplify796.0ms (14.3%)

Algorithm

1×	egg-herbie

Rules

631×	`unsub-neg_binary64`
459×	`fma-udef_binary64`
409×	`fma-neg_binary64`
335×	`associate-+r-_binary64`
316×	`neg-sub0_binary64`

Counts

820 → 731

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	702	41755
1	1482	28862
2	2856	18908
3	4066	18908
4	4822	18908
5	4852	18908

prune682.0ms (12.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	792	0	792
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	792	3	795

Error

Counts

795 → 3

Alt Table

Status	Error	Program
✓	28.4b	(-.f64 (neg.f64 (/.f64 x y)) (/.f64 y (-.f64 1 y)))
✓	14.6b	(.f64 (/.f64 (-.f64 x y) (-.f64 1 (.f64 y y))) (+.f64 1 y))
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))

Compiler

Compiled 39937 to 21565 computations (46% saved)

regimes154.0ms (2.8%)

Accuracy

Total 0.0b remaining (58.5%)

Threshold costs 0.0b (58.5%)

Counts

54 → 1

Compiler

Compiled 2023 to 1349 computations (33.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	14	16
2	22	16
3	26	16
4	28	16
5	27	16

end53.0ms (0.9%)

Compiler: Compiled 66 to 45 computations (31.8% saved)

Details

analyze58.0ms (1%)

sample1.3s (22.7%)

simplify54.0ms (1%)

prune2.0ms (0%)

localize4.0ms (0.1%)

series8.0ms (0.1%)

rewrite14.0ms (0.3%)

simplify109.0ms (2%)

prune55.0ms (1%)

localize5.0ms (0.1%)

series37.0ms (0.7%)

rewrite204.0ms (3.6%)

simplify797.0ms (14.3%)

prune671.0ms (12%)

localize7.0ms (0.1%)

series55.0ms (1%)

rewrite52.0ms (0.9%)

simplify92.0ms (1.6%)

prune113.0ms (2%)

localize6.0ms (0.1%)

series8.0ms (0.1%)

rewrite277.0ms (5%)

simplify796.0ms (14.3%)

prune682.0ms (12.2%)

regimes154.0ms (2.8%)

simplify3.0ms (0%)

end53.0ms (0.9%)

Profiling