Details

analyze133.0ms (3.3%)

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
49.9%	49.9%	0.1%	3
49.9%	49.9%	0.1%	4
49.9%	49.9%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
87.4%	12.5%	0.1%	9
87.4%	12.5%	0.1%	10
87.4%	12.5%	0.1%	11
93.6%	6.2%	0.1%	12
93.6%	6.2%	0.1%	13
93.6%	6.2%	0.1%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.2s (28.8%)

Results

1.0s

8256×

body

128

valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify196.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1119×	`div-sub_binary64`
816×	`fma-def_binary64`
804×	`fma-neg_binary64`
517×	`neg-mul-1_binary64`
483×	`neg-sub0_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	10
2	27	10
3	57	10
4	111	10
5	180	10
6	312	10
7	977	10
8	3166	10
9	3725	10
10	4150	10
11	4786	10
12	4803	10
13	4958	10
14	5387	10

prune3.0ms (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

9.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	9.4b	(/.f64 (*.f64 x (-.f64 y z)) y)

Compiler

Compiled 30 to 18 computations (40% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 y z))
✓	9.4b	(/.f64 (*.f64 x (-.f64 y z)) y)

series25.0ms (0.6%)

Counts

2 → 72

Calls

2 calls:

18.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
7.0ms	(*.f64 x (-.f64 y z))

rewrite31.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`
18×	`prod-diff_binary64`
13×	`distribute-lft-in_binary64`

Counts

2 → 75

Calls

2 calls:

9.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
6.0ms	(*.f64 x (-.f64 y z))

simplify104.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

419×	`fma-neg_binary64`
321×	`div-sub_binary64`
313×	`associate-*l/_binary64`
290×	`associate-/r*_binary64`
263×	`fma-def_binary64`

Counts

147 → 108

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	1568
1	298	1439
2	1158	1383
3	3774	1383
4	4927	1383
5	5098	1383

prune87.0ms (2.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	101	7	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	7	109

Error

0.0b

Counts

109 → 7

Alt Table

Status	Error	Program
	9.6b	(/.f64 (.f64 (-.f64 y z) (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 y))
	3.4b	(-.f64 x (/.f64 (*.f64 z x) y))
▶	1.5b	(/.f64 x (/.f64 y (-.f64 y z)))
	9.5b	(/.f64 1 (/.f64 y (*.f64 x (-.f64 y z))))
	1.9b	(*.f64 x (/.f64 (-.f64 y z) y))
	35.8b	(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (-.f64 y z) (sqrt.f64 y)))
	6.4b	(.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (-.f64 y z) (cbrt.f64 y)))

Compiler

Compiled 1815 to 537 computations (70.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.5b	(/.f64 x (/.f64 y (-.f64 y z)))

series17.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

17.0ms

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

rewrite33.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

123×	`times-frac_binary64`
83×	`*-un-lft-identity_binary64`
83×	`add-sqr-sqrt_binary64`
59×	`add-cube-cbrt_binary64`
21×	`associate-/r*_binary64`

Counts

1 → 104

Calls

1 calls:

13.0ms

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

simplify173.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

500×	`fma-def_binary64`
455×	`associate-*l/_binary64`
452×	`associate-/r/_binary64`
409×	`associate-/l/_binary64`
353×	`associate-/l*_binary64`

Counts

140 → 155

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	2727
1	452	2643
2	1599	2632
3	4197	2632
4	5027	2632

prune201.0ms (4.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	153	2	155
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	155	7	162

Error

Counts

162 → 7

Alt Table

Status	Error	Program
	9.6b	(/.f64 (.f64 (-.f64 y z) (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 y))
	3.4b	(-.f64 x (/.f64 (*.f64 z x) y))
▶	1.5b	(/.f64 (/.f64 x 1) (/.f64 y (-.f64 y z)))
	9.5b	(/.f64 1 (/.f64 y (*.f64 x (-.f64 y z))))
	1.9b	(*.f64 x (/.f64 (-.f64 y z) y))
	8.9b	(*.f64 (/.f64 x y) (-.f64 y z))
	6.4b	(.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (-.f64 y z) (cbrt.f64 y)))

Compiler

Compiled 2934 to 654 computations (77.7% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.5b	(/.f64 (/.f64 x 1) (/.f64 y (-.f64 y z)))

series24.0ms (0.6%)

Counts

1 → 36

Calls

1 calls:

24.0ms

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

rewrite121.0ms (3%)

Algorithm

1×	rewrite-expression-head

Rules

681×	`times-frac_binary64`
365×	`*-un-lft-identity_binary64`
365×	`add-sqr-sqrt_binary64`
281×	`add-cube-cbrt_binary64`
42×	`distribute-lft-out--_binary64`

Counts

1 → 331

Calls

1 calls:

24.0ms

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

simplify659.0ms (16.2%)

Algorithm

1×	egg-herbie

Rules

718×	`fma-def_binary64`
634×	`associate-/r/_binary64`
545×	`associate-*r/_binary64`
430×	`*-commutative_binary64`
248×	`distribute-rgt-in_binary64`

Counts

367 → 399

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	332	8945
1	622	8735
2	1921	8685
3	3557	8683
4	4749	8683
5	4984	8683
6	4966	8683

prune464.0ms (11.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	399	0	399
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	399	7	406

Error

Counts

406 → 7

Alt Table

Status	Error	Program
	9.6b	(/.f64 (.f64 (-.f64 y z) (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 y))
	3.4b	(-.f64 x (/.f64 (*.f64 z x) y))
✓	1.5b	(/.f64 (/.f64 x 1) (/.f64 y (-.f64 y z)))
	9.5b	(/.f64 1 (/.f64 y (*.f64 x (-.f64 y z))))
▶	1.9b	(*.f64 x (/.f64 (-.f64 y z) y))
	8.9b	(*.f64 (/.f64 x y) (-.f64 y z))
	6.4b	(.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (-.f64 y z) (cbrt.f64 y)))

Compiler

Compiled 9325 to 3299 computations (64.6% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 y z) y)
✓	1.9b	(*.f64 x (/.f64 (-.f64 y z) y))

series31.0ms (0.8%)

Counts

2 → 60

Calls

2 calls:

21.0ms	(*.f64 x (/.f64 (-.f64 y z) y))
10.0ms	(/.f64 (-.f64 y z) y)

rewrite35.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64`
36×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`

Counts

2 → 80

Calls

2 calls:

17.0ms	(*.f64 x (/.f64 (-.f64 y z) y))
10.0ms	(/.f64 (-.f64 y z) y)

simplify136.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

848×	`fma-def_binary64`
513×	`associate-/r/_binary64`
290×	`associate-l_binary64`
276×	`associate-*l/_binary64`
268×	`associate-*r/_binary64`

Counts

140 → 115

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1631
1	275	1534
2	871	1532
3	2610	1532
4	4832	1532
5	4977	1532

prune124.0ms (3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	115	7	122

Error

Counts

122 → 7

Alt Table

Status	Error	Program
	9.6b	(/.f64 (.f64 (-.f64 y z) (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y)))) (cbrt.f64 y))
	3.4b	(-.f64 x (/.f64 (*.f64 z x) y))
✓	1.5b	(/.f64 (/.f64 x 1) (/.f64 y (-.f64 y z)))
	9.5b	(/.f64 1 (/.f64 y (*.f64 x (-.f64 y z))))
✓	1.9b	(*.f64 x (/.f64 (-.f64 y z) y))
	8.9b	(*.f64 (/.f64 x y) (-.f64 y z))
	6.4b	(.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (-.f64 y z) (cbrt.f64 y)))

Compiler

Compiled 1660 to 459 computations (72.3% saved)

regimes182.0ms (4.5%)

Accuracy

Total 2.5b remaining (99.7%)

Threshold costs 0b (0%)

Counts

36 → 1

Compiler

Compiled 1959 to 1165 computations (40.5% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`/-rgt-identity_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	13	10
2	17	10
3	19	10
4	20	10
5	19	10

end84.0ms (2.1%)

Compiler: Compiled 108 to 64 computations (40.7% saved)

Details

analyze133.0ms (3.3%)

sample1.2s (28.8%)

simplify196.0ms (4.8%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

series25.0ms (0.6%)

rewrite31.0ms (0.8%)

simplify104.0ms (2.5%)

prune87.0ms (2.1%)

localize5.0ms (0.1%)

series17.0ms (0.4%)

rewrite33.0ms (0.8%)

simplify173.0ms (4.3%)

prune201.0ms (4.9%)

localize6.0ms (0.2%)

series24.0ms (0.6%)

rewrite121.0ms (3%)

simplify659.0ms (16.2%)

prune464.0ms (11.4%)

localize10.0ms (0.2%)

series31.0ms (0.8%)

rewrite35.0ms (0.9%)

simplify136.0ms (3.3%)

prune124.0ms (3%)

regimes182.0ms (4.5%)

simplify5.0ms (0.1%)

end84.0ms (2.1%)

Profiling