Details

analyze181.0ms (10.4%)

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
43.7%	56.2%	0.1%	5
46.8%	53.1%	0.1%	6
78%	21.9%	0.1%	7
82.7%	17.2%	0.1%	8
89%	10.9%	0.1%	9
91.3%	8.6%	0.1%	10
94.4%	5.5%	0.1%	11
95.6%	4.3%	0.1%	12
97.2%	2.7%	0.1%	13
97.8%	2.1%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample15.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify61.0ms (3.5%)

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 (0.1%)

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 1 y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

8.0ms

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

rewrite13.0ms (0.7%)

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:

7.0ms

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

simplify108.0ms (6.2%)

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

prune37.0ms (2.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	2	79

Error

Counts

79 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
▶	15.8b	(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 y))) (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 1 y))))

Compiler

Compiled 1290 to 645 computations (50% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

series41.0ms (2.3%)

Counts

3 → 44

Calls

3 calls:

24.0ms	(/.f64 (-.f64 x y) (sqrt.f64 (-.f64 1 y)))
9.0ms	(/.f64 1 (sqrt.f64 (-.f64 1 y)))
8.0ms	(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 y))) (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 1 y))))

rewrite85.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Rules

217×	`add-sqr-sqrt_binary64`
177×	`*-un-lft-identity_binary64`
166×	`times-frac_binary64`
119×	`sqrt-prod_binary64`
79×	`add-cube-cbrt_binary64`

Counts

3 → 264

Calls

3 calls:

42.0ms	(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 y))) (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 1 y))))
8.0ms	(/.f64 (-.f64 x y) (sqrt.f64 (-.f64 1 y)))
5.0ms	(/.f64 1 (sqrt.f64 (-.f64 1 y)))

simplify187.0ms (10.7%)

Algorithm

1×	egg-herbie

Rules

740×	`fma-def_binary64`
358×	`times-frac_binary64`
293×	`distribute-rgt-in_binary64`
228×	`div-sub_binary64`
200×	`fma-neg_binary64`

Counts

308 → 345

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	278	6846
1	735	6053
2	2374	6033
3	4602	5949
4	5017	5949

prune220.0ms (12.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	345	0	345
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	345	2	347

Error

Counts

347 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
✓	15.8b	(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 y))) (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 1 y))))

Compiler

Compiled 8422 to 5565 computations (33.9% saved)

regimes64.0ms (3.7%)

Accuracy

Total 0.0b remaining (18.1%)

Threshold costs 0.0b (18.1%)

Counts

14 → 1

Compiler

Compiled 483 to 329 computations (31.9% saved)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	10
2	17	10
3	19	10
4	20	10
5	19	10

end1.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

sample709.0ms (40.5%)

Algorithm

1×

intervals

Results

354.0ms	7996×	body	128	valid
0.0ms	2×	body	1024	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 47 to 34 computations (27.7% saved)

Details

analyze181.0ms (10.4%)

sample15.0ms (0.8%)

simplify61.0ms (3.5%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series9.0ms (0.5%)

rewrite13.0ms (0.7%)

simplify108.0ms (6.2%)

prune37.0ms (2.1%)

localize9.0ms (0.5%)

series41.0ms (2.3%)

rewrite85.0ms (4.9%)

simplify187.0ms (10.7%)

prune220.0ms (12.6%)

regimes64.0ms (3.7%)

simplify5.0ms (0.3%)

end1.0ms (0%)

sample709.0ms (40.5%)

Profiling