Details

analyze485.0ms (18.3%)

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
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)

sample975.0ms (36.7%)

Results

802.0ms	8256×	body	128	valid
67.0ms	761×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify128.0ms (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

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

13.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	13.0b	(/.f64 (*.f64 x (-.f64 y z)) y)

Compiler

Compiled 30 to 18 computations (40% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (-.f64 y z))
✓	12.4b	(/.f64 (*.f64 x (-.f64 y z)) y)

series18.0ms (0.7%)

Counts

2 → 72

Calls

2 calls:

12.0ms	(/.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:

7.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
5.0ms	(*.f64 x (-.f64 y z))

simplify88.0ms (3.3%)

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

prune60.0ms (2.3%)

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

Counts

109 → 5

Alt Table

Status	Error	Program
	35.5b	(/.f64 (.f64 x (-.f64 (.f64 y y) (.f64 z z))) (.f64 y (+.f64 y z)))
	4.0b	(-.f64 x (/.f64 (*.f64 z x) y))
	3.1b	(*.f64 x (/.f64 (-.f64 y z) y))
	38.8b	(/.f64 (+.f64 (.f64 y x) (.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) x)) y)
▶	2.7b	(/.f64 x (/.f64 y (-.f64 y z)))

Compiler

Compiled 1765 to 509 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))
✓	2.6b	(/.f64 x (/.f64 y (-.f64 y z)))

series20.0ms (0.7%)

Counts

2 → 60

Calls

2 calls:

11.0ms	(/.f64 x (/.f64 y (-.f64 y z)))
8.0ms	(/.f64 y (-.f64 y z))

rewrite25.0ms (1%)

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:

10.0ms	(/.f64 x (/.f64 y (-.f64 y z)))
3.0ms	(/.f64 y (-.f64 y z))

simplify122.0ms (4.6%)

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

prune85.0ms (3.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	209	1	210
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	210	5	215

Error

Counts

215 → 5

Alt Table

Status	Error	Program
▶	3.1b	(*.f64 x (/.f64 (-.f64 y z) y))
	11.2b	(*.f64 (/.f64 x y) (-.f64 y z))
	38.8b	(/.f64 (+.f64 (.f64 y x) (.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) x)) y)
✓	2.7b	(/.f64 x (/.f64 y (-.f64 y z)))
	4.0b	(-.f64 x (/.f64 (*.f64 z x) y))

Compiler

Compiled 3643 to 853 computations (76.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 y z) y)
✓	2.9b	(*.f64 x (/.f64 (-.f64 y z) y))

series16.0ms (0.6%)

Counts

2 → 60

Calls

2 calls:

11.0ms	(*.f64 x (/.f64 (-.f64 y z) y))
5.0ms	(/.f64 (-.f64 y z) y)

rewrite18.0ms (0.7%)

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:

9.0ms	(*.f64 x (/.f64 (-.f64 y z) y))
4.0ms	(/.f64 (-.f64 y z) y)

simplify86.0ms (3.2%)

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

prune49.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	115	5	120

Error

Counts

120 → 5

Alt Table

Status	Error	Program
✓	3.1b	(*.f64 x (/.f64 (-.f64 y z) y))
	11.2b	(*.f64 (/.f64 x y) (-.f64 y z))
	38.8b	(/.f64 (+.f64 (.f64 y x) (.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z)) x)) y)
✓	2.7b	(/.f64 x (/.f64 y (-.f64 y z)))
▶	4.0b	(-.f64 x (/.f64 (*.f64 z x) y))

Compiler

Compiled 1666 to 463 computations (72.2% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 (*.f64 z x) y))
✓	5.8b	(/.f64 (*.f64 z x) y)

series24.0ms (0.9%)

Counts

2 → 18

Calls

2 calls:

14.0ms	(/.f64 (*.f64 z x) y)
10.0ms	(-.f64 x (/.f64 (*.f64 z x) y))

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
21×	`prod-diff_binary64`
20×	`add-cube-cbrt_binary64`
15×	`times-frac_binary64`

Counts

2 → 69

Calls

2 calls:

7.0ms	(-.f64 x (/.f64 (*.f64 z x) y))
3.0ms	(/.f64 (*.f64 z x) y)

simplify65.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

981×	`fma-def_binary64`
714×	`associate-/l*_binary64`
631×	`times-frac_binary64`
246×	`associate-/l/_binary64`
130×	`distribute-rgt-neg-in_binary64`

Counts

87 → 104

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	1424
1	334	1197
2	1130	1008
3	4401	1008
4	4909	1008

prune51.0ms (1.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	105	4	109

Error

Counts

109 → 4

Alt Table

Status	Error	Program
	4.4b	(-.f64 x (/.f64 z (/.f64 y x)))
✓	3.1b	(*.f64 x (/.f64 (-.f64 y z) y))
✓	2.7b	(/.f64 x (/.f64 y (-.f64 y z)))
✓	4.0b	(-.f64 x (/.f64 (*.f64 z x) y))

Compiler

Compiled 1935 to 478 computations (75.3% saved)

regimes224.0ms (8.5%)

Accuracy

Total 2.1b remaining (99.4%)

Threshold costs 0b (0%)

Counts

38 → 4

Compiler

Compiled 2090 to 1186 computations (43.3% saved)

bsearch1.0ms (0%)

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

simplify5.0ms (0.2%)

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	24	85
1	31	85
2	41	85
3	52	85
4	58	85
5	61	85
6	62	85
7	62	85

end53.0ms (2%)

Compiler: Compiled 162 to 68 computations (58% saved)

Details

analyze485.0ms (18.3%)

sample975.0ms (36.7%)

simplify128.0ms (4.8%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

series18.0ms (0.7%)

rewrite17.0ms (0.6%)

simplify88.0ms (3.3%)

prune60.0ms (2.3%)

localize5.0ms (0.2%)

series20.0ms (0.7%)

rewrite25.0ms (1%)

simplify122.0ms (4.6%)

prune85.0ms (3.2%)

localize6.0ms (0.2%)

series16.0ms (0.6%)

rewrite18.0ms (0.7%)

simplify86.0ms (3.2%)

prune49.0ms (1.9%)

localize7.0ms (0.3%)

series24.0ms (0.9%)

rewrite14.0ms (0.5%)

simplify65.0ms (2.4%)

prune51.0ms (1.9%)

regimes224.0ms (8.5%)

bsearch1.0ms (0%)

simplify5.0ms (0.2%)

end53.0ms (2%)

Profiling