Details

analyze191.0ms (14.1%)

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
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)

sample255.0ms (18.9%)

Algorithm

1×

intervals

Results

145.0ms

256×

body

128

valid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify48.0ms (3.6%)

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

prune1.0ms (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)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.7%)

Counts

1 → 24

Calls

1 calls:

8.0ms

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

rewrite11.0ms (0.8%)

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))

simplify145.0ms (10.7%)

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

prune47.0ms (3.5%)

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))
▶	34.0b	(-.f64 (fma.f64 x (fma.f64 y y y) x) (fma.f64 y y y))

Compiler

Compiled 1284 to 629 computations (51% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.8b	(fma.f64 x (fma.f64 y y y) x)
✓	6.1b	(-.f64 (fma.f64 x (fma.f64 y y y) x) (fma.f64 y y y))

series21.0ms (1.5%)

Counts

2 → 48

Calls

2 calls:

10.0ms	(-.f64 (fma.f64 x (fma.f64 y y y) x) (fma.f64 y y y))
10.0ms	(fma.f64 x (fma.f64 y y y) x)

rewrite6.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`prod-diff_binary64`
4×	`add-log-exp_binary64`

Counts

2 → 42

Calls

2 calls:

3.0ms	(-.f64 (fma.f64 x (fma.f64 y y y) x) (fma.f64 y y y))
0.0ms	(fma.f64 x (fma.f64 y y y) x)

simplify71.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

831×	`fma-neg_binary64`
548×	`fma-def_binary64`
468×	`associate-l_binary64`
464×	`distribute-rgt-in_binary64`
461×	`distribute-lft-in_binary64`

Counts

90 → 82

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	1430
1	192	1293
2	685	1146
3	4542	1146
4	5189	1146

prune29.0ms (2.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	82	2	84

Error

Counts

84 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
✓	34.0b	(-.f64 (fma.f64 x (fma.f64 y y y) x) (fma.f64 y y y))

Compiler

Compiled 1769 to 361 computations (79.6% saved)

regimes46.0ms (3.4%)

Accuracy

Total 0.0b remaining (35.9%)

Threshold costs 0.0b (35.9%)

Counts

16 → 1

Compiler

Compiled 465 to 278 computations (40.2% saved)

simplify2.0ms (0.2%)

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

end0.0ms (0%)

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

sample459.0ms (34%)

Algorithm

1×

intervals

Results

237.0ms

8000×

body

128

valid

Compiler

Compiled 44 to 26 computations (40.9% saved)

Details

analyze191.0ms (14.1%)

sample255.0ms (18.9%)

simplify48.0ms (3.6%)

prune1.0ms (0.1%)

localize5.0ms (0.3%)

series9.0ms (0.7%)

rewrite11.0ms (0.8%)

simplify145.0ms (10.7%)

prune47.0ms (3.5%)

localize7.0ms (0.5%)

series21.0ms (1.5%)

rewrite6.0ms (0.4%)

simplify71.0ms (5.2%)

prune29.0ms (2.1%)

regimes46.0ms (3.4%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample459.0ms (34%)

Profiling