Details

analyze45.0ms (2.4%)

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)

sample125.0ms (6.8%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify54.0ms (2.9%)

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)

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 (0.5%)

Counts

1 → 24

Calls

1 calls:

9.0ms

(/.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:

9.0ms

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

simplify105.0ms (5.6%)

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

prune56.0ms (3%)

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
	36.2b	(+.f64 (*.f64 x (fma.f64 y (fma.f64 y y y) y)) (-.f64 x (fma.f64 y (fma.f64 y y y) y)))
	0.1b	(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 x y)))
▶	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))

Compiler

Compiled 1337 to 661 computations (50.6% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series11.0ms (0.6%)

Counts

2 → 24

Calls

2 calls:

9.0ms	(/.f64 x (-.f64 1 y))
2.0ms	(/.f64 y (-.f64 1 y))

rewrite16.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64`
48×	`add-sqr-sqrt_binary64`
36×	`times-frac_binary64`
24×	`add-cube-cbrt_binary64`
16×	`difference-of-squares_binary64`

Counts

2 → 86

Calls

2 calls:

8.0ms	(/.f64 y (-.f64 1 y))
4.0ms	(/.f64 x (-.f64 1 y))

simplify94.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

559×	`fma-neg_binary64`
475×	`associate-/l/_binary64`
473×	`associate-/r*_binary64`
276×	`associate-/r/_binary64`
218×	`distribute-rgt-in_binary64`

Counts

110 → 122

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	159	1587
1	342	1503
2	899	1494
3	2106	1478
4	4585	1476
5	4920	1476

prune76.0ms (4.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	122	3	125

Error

Counts

125 → 3

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
	33.9b	(-.f64 (*.f64 (fma.f64 y y 1) (fma.f64 y x x)) (/.f64 y (-.f64 1 y)))
▶	0.1b	(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 x y)))

Compiler

Compiled 2232 to 1405 computations (37.1% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series22.0ms (1.2%)

Counts

2 → 48

Calls

2 calls:

12.0ms	(/.f64 (-.f64 1 y) (-.f64 x y))
9.0ms	(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 x y)))

rewrite43.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

258×	`times-frac_binary64`
240×	`*-un-lft-identity_binary64`
240×	`add-sqr-sqrt_binary64`
100×	`add-cube-cbrt_binary64`
83×	`difference-of-squares_binary64`

Counts

2 → 230

Calls

2 calls:

11.0ms	(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 x y)))
7.0ms	(/.f64 (-.f64 1 y) (-.f64 x y))

simplify240.0ms (12.9%)

Algorithm

1×	egg-herbie

Rules

664×	`fma-def_binary64`
460×	`times-frac_binary64`
354×	`fma-neg_binary64`
283×	`sub-neg_binary64`
256×	`distribute-rgt-in_binary64`

Counts

278 → 284

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	255	6418
1	621	5932
2	2123	5708
3	4664	5702
4	4994	5702
5	5000	5702
6	4962	5702

prune153.0ms (8.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	284	0	284
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	284	3	287

Error

Counts

287 → 3

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
▶	33.9b	(-.f64 (*.f64 (fma.f64 y y 1) (fma.f64 y x x)) (/.f64 y (-.f64 1 y)))
✓	0.1b	(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 x y)))

Compiler

Compiled 5968 to 3308 computations (44.6% saved)

localize10.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 y (-.f64 1 y))
✓	1.0b	(*.f64 (fma.f64 y y 1) (fma.f64 y x x))

series10.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

10.0ms

(*.f64 (fma.f64 y y 1) (fma.f64 y x x))

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 22

Calls

1 calls:

3.0ms

(*.f64 (fma.f64 y y 1) (fma.f64 y x x))

simplify91.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

481×	`distribute-rgt-in_binary64`
475×	`distribute-lft-in_binary64`
429×	`associate-l_binary64`
385×	`sqr-pow_binary64`
346×	`associate-r_binary64`

Counts

46 → 51

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	777
1	143	586
2	532	580
3	2405	580
4	3224	580
5	3852	580
6	4986	580
7	4943	580

prune60.0ms (3.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	112	3	115

Error

Counts

115 → 3

Alt Table

Status	Error	Program
✓	0.0b	(-.f64 (/.f64 x (-.f64 1 y)) (/.f64 y (-.f64 1 y)))
✓	33.9b	(-.f64 (*.f64 (fma.f64 y y 1) (fma.f64 y x x)) (/.f64 y (-.f64 1 y)))
✓	0.1b	(/.f64 1 (/.f64 (-.f64 1 y) (-.f64 x y)))

Compiler

Compiled 2376 to 1226 computations (48.4% saved)

regimes138.0ms (7.4%)

Accuracy

Total 0.0b remaining (57%)

Threshold costs 0.0b (57%)

Counts

50 → 1

Compiler

Compiled 1882 to 1226 computations (34.9% saved)

simplify3.0ms (0.1%)

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

end0.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

sample463.0ms (24.9%)

Algorithm

1×

intervals

Results

206.0ms	7998×	body	128	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 66 to 45 computations (31.8% saved)

Details

analyze45.0ms (2.4%)

sample125.0ms (6.8%)

simplify54.0ms (2.9%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

series9.0ms (0.5%)

rewrite13.0ms (0.7%)

simplify105.0ms (5.6%)

prune56.0ms (3%)

localize5.0ms (0.3%)

series11.0ms (0.6%)

rewrite16.0ms (0.9%)

simplify94.0ms (5.1%)

prune76.0ms (4.1%)

localize5.0ms (0.3%)

series22.0ms (1.2%)

rewrite43.0ms (2.3%)

simplify240.0ms (12.9%)

prune153.0ms (8.2%)

localize10.0ms (0.5%)

series10.0ms (0.6%)

rewrite4.0ms (0.2%)

simplify91.0ms (4.9%)

prune60.0ms (3.2%)

regimes138.0ms (7.4%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample463.0ms (24.9%)

Profiling