Details

analyze193.0ms (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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
18.7%	81.1%	0.1%	6
40.6%	59.3%	0.1%	7
45.2%	54.6%	0.1%	8
65.5%	34.3%	0.1%	9
78%	21.8%	0.1%	10
80%	19.5%	0.5%	11
81.7%	17.7%	0.5%	12
87.9%	11.3%	0.8%	13
88.3%	10.1%	1.6%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample966.0ms (20.2%)

Results

729.0ms	8256×	body	128	valid
22.0ms	249×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify88.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

649×	`fma-neg_binary64`
504×	`div-sub_binary64`
481×	`fma-def_binary64`
326×	`times-frac_binary64`
174×	`associate-/l/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	21	10
3	37	10
4	64	10
5	113	10
6	216	10
7	415	10
8	754	10
9	1183	10
10	1537	10
11	1612	10
12	1657	10
13	1684	10
14	1694	10
15	1702	10
16	1702	10
17	1600	10

prune1.0ms (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 z y))

Compiler

Compiled 30 to 18 computations (40% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series20.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

19.0ms

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

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64`
37×	`add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
12×	`distribute-lft-out--_binary64`

Counts

1 → 54

Calls

1 calls:

6.0ms

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

simplify80.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

719×	`fma-neg_binary64`
431×	`associate--l+_binary64`
430×	`fma-def_binary64`
264×	`times-frac_binary64`
247×	`associate-/l*_binary64`

Counts

90 → 85

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	2081
1	427	2033
2	1343	1890
3	4742	1874
4	5340	1874

prune42.0ms (0.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	3	86

Error

Counts

86 → 3

Alt Table

Status	Error	Program
	0.3b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
	21.9b	(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 z y))) (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 z y))))
▶	0.0b	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))

Compiler

Compiled 1744 to 609 computations (65.1% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series47.0ms (1%)

Counts

3 → 75

Calls

3 calls:

22.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
17.0ms	(/.f64 x (-.f64 z y))
8.0ms	(/.f64 y (-.f64 z y))

rewrite161.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Rules

727×	`*-un-lft-identity_binary64`
717×	`add-sqr-sqrt_binary64`
708×	`times-frac_binary64`
441×	`prod-diff_binary64`
421×	`add-cube-cbrt_binary64`

Counts

3 → 591

Calls

3 calls:

28.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
4.0ms	(/.f64 x (-.f64 z y))
3.0ms	(/.f64 y (-.f64 z y))

simplify559.0ms (11.7%)

Algorithm

1×	egg-herbie

Rules

716×	`times-frac_binary64`
306×	`fma-udef_binary64`
276×	`fma-neg_binary64`
262×	`unsub-neg_binary64`
259×	`associate-+r-_binary64`

Counts

666 → 616

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	616	45109
1	1436	25619
2	3441	24827
3	4976	24827

prune556.0ms (11.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	615	1	616
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	616	3	619

Error

Counts

619 → 3

Alt Table

Status	Error	Program
	0.3b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
▶	0.2b	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 1 (+.f64 (/.f64 z y) -1)))
✓	0.0b	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))

Compiler

Compiled 28566 to 4791 computations (83.2% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 z y) -1)
	0.0b	(/.f64 x (-.f64 z y))
✓	0.0b	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 1 (+.f64 (/.f64 z y) -1)))
✓	0.6b	(/.f64 1 (+.f64 (/.f64 z y) -1))

series40.0ms (0.8%)

Counts

3 → 84

Calls

3 calls:

28.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 1 (+.f64 (/.f64 z y) -1)))
8.0ms	(/.f64 1 (+.f64 (/.f64 z y) -1))
4.0ms	(+.f64 (/.f64 z y) -1)

rewrite192.0ms (4%)

Algorithm

1×	rewrite-expression-head

Rules

884×	`times-frac_binary64`
846×	`add-sqr-sqrt_binary64`
783×	`*-un-lft-identity_binary64`
504×	`prod-diff_binary64`
466×	`add-cube-cbrt_binary64`

Counts

3 → 651

Calls

3 calls:

35.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 1 (+.f64 (/.f64 z y) -1)))
8.0ms	(/.f64 1 (+.f64 (/.f64 z y) -1))
5.0ms	(+.f64 (/.f64 z y) -1)

simplify680.0ms (14.2%)

Algorithm

1×	egg-herbie

Rules

726×	`fma-neg_binary64`
424×	`times-frac_binary64`
345×	`sub-neg_binary64`
269×	`distribute-rgt-in_binary64`
238×	`unsub-neg_binary64`

Counts

735 → 686

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	424	38010
1	948	29637
2	2777	22801
3	4530	22796
4	4846	22796

prune695.0ms (14.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	738	0	738
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	738	3	741

Error

Counts

741 → 3

Alt Table

Status	Error	Program
▶	0.3b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
✓	0.2b	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 1 (+.f64 (/.f64 z y) -1)))
✓	0.0b	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))

Compiler

Compiled 37417 to 19318 computations (48.4% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 z y))
✓	0.3b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))

series29.0ms (0.6%)

Counts

2 → 60

Calls

2 calls:

20.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
9.0ms	(/.f64 1 (-.f64 z y))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
32×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`

Counts

2 → 95

Calls

2 calls:

10.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
4.0ms	(/.f64 1 (-.f64 z y))

simplify97.0ms (2%)

Algorithm

1×	egg-herbie

Rules

519×	`fma-def_binary64`
307×	`fma-neg_binary64`
306×	`associate-/l*_binary64`
293×	`distribute-rgt-in_binary64`
292×	`times-frac_binary64`

Counts

155 → 167

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	189	2854
1	471	2644
2	1654	2465
3	4838	2460
4	5014	2460

prune86.0ms (1.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	167	3	170

Error

Counts

170 → 3

Alt Table

Status	Error	Program
✓	0.3b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
✓	0.2b	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 1 (+.f64 (/.f64 z y) -1)))
✓	0.0b	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))

Compiler

Compiled 3083 to 1279 computations (58.5% saved)

regimes140.0ms (2.9%)

Accuracy

Total 0.0b remaining (71.1%)

Threshold costs 0.0b (71.1%)

Counts

42 → 1

Compiler

Compiled 1992 to 1290 computations (35.2% saved)

simplify2.0ms (0%)

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	9	10
1	14	10
2	19	10
3	21	10
4	22	10
5	21	10

end45.0ms (0.9%)

Compiler: Compiled 62 to 38 computations (38.7% saved)

Details

analyze193.0ms (4%)

sample966.0ms (20.2%)

simplify88.0ms (1.8%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series20.0ms (0.4%)

rewrite10.0ms (0.2%)

simplify80.0ms (1.7%)

prune42.0ms (0.9%)

localize5.0ms (0.1%)

series47.0ms (1%)

rewrite161.0ms (3.4%)

simplify559.0ms (11.7%)

prune556.0ms (11.6%)

localize9.0ms (0.2%)

series40.0ms (0.8%)

rewrite192.0ms (4%)

simplify680.0ms (14.2%)

prune695.0ms (14.6%)

localize7.0ms (0.1%)

series29.0ms (0.6%)

rewrite20.0ms (0.4%)

simplify97.0ms (2%)

prune86.0ms (1.8%)

regimes140.0ms (2.9%)

simplify2.0ms (0%)

end45.0ms (0.9%)

Profiling