Details

analyze485.0ms (16.8%)

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
9.4%	90.5%	0.1%	6
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
37.8%	60.5%	1.7%	9
40%	56%	4%	10
47.3%	48.7%	4%	11
56.8%	36.2%	7%	12
58.6%	32.4%	9%	13
63.4%	27.5%	9%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample991.0ms (34.3%)

Results

825.0ms	8256×	body	128	valid
72.0ms	739×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify125.0ms (4.3%)

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

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

12.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	12.3b	(/.f64 (*.f64 x (-.f64 y z)) y)

Compiler

Compiled 30 to 18 computations (40% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 y z))
✓	11.8b	(/.f64 (*.f64 x (-.f64 y z)) y)

series27.0ms (0.9%)

Counts

2 → 72

Calls

2 calls:

21.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
6.0ms	(*.f64 x (-.f64 y z))

rewrite17.0ms (0.6%)

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:

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

simplify87.0ms (3%)

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

prune59.0ms (2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	103	5	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	5	109

Error

0.0b

Counts

109 → 5

Alt Table

Status	Error	Program
	6.8b	(-.f64 x (/.f64 (*.f64 z x) y))
	12.4b	(.f64 (.f64 x (-.f64 y z)) (/.f64 1 y))
	2.4b	(*.f64 x (/.f64 (-.f64 y z) y))
▶	2.4b	(/.f64 x (/.f64 y (-.f64 y z)))
	35.8b	(/.f64 (.f64 x (-.f64 (.f64 y y) (.f64 z z))) (.f64 y (+.f64 y z)))

Compiler

Compiled 1755 to 505 computations (71.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 y (-.f64 y z))
✓	2.2b	(/.f64 x (/.f64 y (-.f64 y z)))

series22.0ms (0.8%)

Counts

2 → 60

Calls

2 calls:

14.0ms	(/.f64 x (/.f64 y (-.f64 y z)))
9.0ms	(/.f64 y (-.f64 y z))

rewrite23.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64`
102×	`*-un-lft-identity_binary64`
102×	`add-sqr-sqrt_binary64`
70×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`

Counts

2 → 143

Calls

2 calls:

6.0ms	(/.f64 x (/.f64 y (-.f64 y z)))
3.0ms	(/.f64 y (-.f64 y z))

simplify120.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

862×	`fma-def_binary64`
516×	`associate-/r/_binary64`
497×	`times-frac_binary64`
463×	`associate-/l*_binary64`
459×	`associate-/l/_binary64`

Counts

203 → 210

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	248	3761
1	540	3647
2	1917	3540
3	4751	3528
4	5354	3528

prune135.0ms (4.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	207	3	210
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	208	7	215

Error

Counts

215 → 7

Alt Table

Status	Error	Program
▶	2.4b	(*.f64 x (/.f64 (-.f64 y z) y))
	13.1b	(*.f64 (/.f64 x y) (-.f64 y z))
	35.8b	(/.f64 (.f64 x (-.f64 (.f64 y y) (.f64 z z))) (.f64 y (+.f64 y z)))
	27.2b	(/.f64 x (+.f64 (/.f64 z y) 1))
	6.8b	(-.f64 x (/.f64 (*.f64 z x) y))
	12.3b	(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (-.f64 y z))))
✓	2.4b	(/.f64 x (/.f64 y (-.f64 y z)))

Compiler

Compiled 3693 to 887 computations (76% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 y z) y)
✓	2.3b	(*.f64 x (/.f64 (-.f64 y z) y))

series21.0ms (0.7%)

Counts

2 → 60

Calls

2 calls:

12.0ms	(*.f64 x (/.f64 (-.f64 y z) y))
9.0ms	(/.f64 (-.f64 y z) y)

rewrite16.0ms (0.6%)

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:

7.0ms	(*.f64 x (/.f64 (-.f64 y z) y))
4.0ms	(/.f64 (-.f64 y z) y)

simplify89.0ms (3.1%)

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

prune76.0ms (2.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	116	6	122

Error

Counts

122 → 6

Alt Table

Status	Error	Program
	35.8b	(/.f64 (.f64 x (-.f64 (.f64 y y) (.f64 z z))) (.f64 y (+.f64 y z)))
	27.2b	(/.f64 x (+.f64 (/.f64 z y) 1))
	6.8b	(-.f64 x (/.f64 (*.f64 z x) y))
	13.1b	(*.f64 (/.f64 x y) (-.f64 y z))
▶	2.7b	(.f64 x (.f64 (-.f64 y z) (/.f64 1 y)))
✓	2.4b	(/.f64 x (/.f64 y (-.f64 y z)))

Compiler

Compiled 1702 to 487 computations (71.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (-.f64 y z) (/.f64 1 y))
✓	2.3b	(.f64 x (.f64 (-.f64 y z) (/.f64 1 y)))

series18.0ms (0.6%)

Counts

2 → 60

Calls

2 calls:

12.0ms	(.f64 x (.f64 (-.f64 y z) (/.f64 1 y)))
6.0ms	(*.f64 (-.f64 y z) (/.f64 1 y))

rewrite19.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64`
20×	`add-sqr-sqrt_binary64`
16×	`add-cbrt-cube_binary64`
14×	`associate-r_binary64`
14×	`*-un-lft-identity_binary64`

Counts

2 → 74

Calls

2 calls:

7.0ms	(*.f64 (-.f64 y z) (/.f64 1 y))
7.0ms	(.f64 x (.f64 (-.f64 y z) (/.f64 1 y)))

simplify84.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

610×	`fma-def_binary64`
401×	`associate-/r/_binary64`
280×	`associate-/l/_binary64`
260×	`distribute-rgt-in_binary64`
258×	`distribute-lft-in_binary64`

Counts

134 → 118

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	1445
1	272	1295
2	848	1289
3	2404	1284
4	4881	1284
5	4984	1284

prune60.0ms (2.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	118	6	124

Error

Counts

124 → 6

Alt Table

Status	Error	Program
	35.8b	(/.f64 (.f64 x (-.f64 (.f64 y y) (.f64 z z))) (.f64 y (+.f64 y z)))
	27.2b	(/.f64 x (+.f64 (/.f64 z y) 1))
	6.8b	(-.f64 x (/.f64 (*.f64 z x) y))
	13.1b	(*.f64 (/.f64 x y) (-.f64 y z))
✓	2.7b	(.f64 x (.f64 (-.f64 y z) (/.f64 1 y)))
✓	2.4b	(/.f64 x (/.f64 y (-.f64 y z)))

Compiler

Compiled 1813 to 775 computations (57.3% saved)

regimes314.0ms (10.9%)

Accuracy

Total 0.2b remaining (93.7%)

Threshold costs 0.2b (93.7%)

Counts

48 → 5

Compiler

Compiled 2629 to 1593 computations (39.4% saved)

bsearch1.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	110
1	34	110
2	43	110
3	54	110
4	60	110
5	63	110
6	64	110
7	64	110

end72.0ms (2.5%)

Compiler: Compiled 226 to 93 computations (58.8% saved)

Details

analyze485.0ms (16.8%)

sample991.0ms (34.3%)

simplify125.0ms (4.3%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series27.0ms (0.9%)

rewrite17.0ms (0.6%)

simplify87.0ms (3%)

prune59.0ms (2%)

localize5.0ms (0.2%)

series22.0ms (0.8%)

rewrite23.0ms (0.8%)

simplify120.0ms (4.2%)

prune135.0ms (4.7%)

localize5.0ms (0.2%)

series21.0ms (0.7%)

rewrite16.0ms (0.6%)

simplify89.0ms (3.1%)

prune76.0ms (2.6%)

localize6.0ms (0.2%)

series18.0ms (0.6%)

rewrite19.0ms (0.7%)

simplify84.0ms (2.9%)

prune60.0ms (2.1%)

regimes314.0ms (10.9%)

bsearch1.0ms (0%)

simplify8.0ms (0.3%)

end72.0ms (2.5%)

Profiling