Details

analyze64.0ms (2.7%)

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)

sample664.0ms (28.5%)

Infinites

16.3% of outputs are infinite.

Results

555.0ms

8256×

body

128

valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify128.0ms (5.5%)

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

10.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	10.7b	(/.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))
✓	10.7b	(/.f64 (*.f64 x (-.f64 y z)) y)

series21.0ms (0.9%)

Counts

2 → 72

Calls

2 calls:

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

rewrite18.0ms (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:

6.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
5.0ms	(*.f64 x (-.f64 y z))

simplify89.0ms (3.8%)

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

prune63.0ms (2.7%)

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
	10.7b	(/.f64 1 (/.f64 y (*.f64 x (-.f64 y z))))
▶	3.3b	(*.f64 x (/.f64 (-.f64 y z) y))
	34.5b	(/.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 y z))) y)
	3.3b	(/.f64 x (/.f64 y (-.f64 y z)))
	32.1b	(/.f64 (.f64 x (-.f64 (.f64 y y) (.f64 z z))) (.f64 y (+.f64 y z)))

Compiler

Compiled 1763 to 509 computations (71.1% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 y z) y)
✓	3.3b	(*.f64 x (/.f64 (-.f64 y z) y))

series16.0ms (0.7%)

Counts

2 → 60

Calls

2 calls:

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

rewrite18.0ms (0.8%)

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)

simplify95.0ms (4.1%)

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

prune57.0ms (2.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	115	5	120

Error

Counts

120 → 5

Alt Table

Status	Error	Program
	32.1b	(/.f64 (.f64 x (-.f64 (.f64 y y) (.f64 z z))) (.f64 y (+.f64 y z)))
▶	3.3b	(*.f64 x (-.f64 1 (/.f64 z y)))
	10.7b	(/.f64 1 (/.f64 y (*.f64 x (-.f64 y z))))
	34.5b	(/.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 y z))) y)
	3.3b	(/.f64 x (/.f64 y (-.f64 y z)))

Compiler

Compiled 1700 to 485 computations (71.5% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.3b	(*.f64 x (-.f64 1 (/.f64 z y)))

series12.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

12.0ms

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

rewrite27.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

95×	`add-sqr-sqrt_binary64`
89×	`*-un-lft-identity_binary64`
85×	`add-cube-cbrt_binary64`
78×	`prod-diff_binary64`
74×	`times-frac_binary64`

Counts

1 → 133

Calls

1 calls:

12.0ms

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

simplify134.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

499×	`exp-prod_binary64`
444×	`fma-def_binary64`
426×	`associate-/l*_binary64`
424×	`*-commutative_binary64`
267×	`fma-neg_binary64`

Counts

169 → 154

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	240	2940
1	534	2507
2	1496	2031
3	3889	2031
4	4834	2031
5	5092	2031

prune91.0ms (3.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	154	5	159

Error

Counts

159 → 5

Alt Table

Status	Error	Program
	32.1b	(/.f64 (.f64 x (-.f64 (.f64 y y) (.f64 z z))) (.f64 y (+.f64 y z)))
✓	3.3b	(*.f64 x (-.f64 1 (/.f64 z y)))
	10.7b	(/.f64 1 (/.f64 y (*.f64 x (-.f64 y z))))
	34.5b	(/.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 y z))) y)
▶	3.3b	(/.f64 x (/.f64 y (-.f64 y z)))

Compiler

Compiled 4697 to 1657 computations (64.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 y (-.f64 y z))
✓	3.3b	(/.f64 x (/.f64 y (-.f64 y z)))

series24.0ms (1%)

Counts

2 → 60

Calls

2 calls:

16.0ms	(/.f64 x (/.f64 y (-.f64 y z)))
8.0ms	(/.f64 y (-.f64 y z))

rewrite68.0ms (2.9%)

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:

11.0ms	(/.f64 x (/.f64 y (-.f64 y z)))
4.0ms	(/.f64 y (-.f64 y z))

simplify125.0ms (5.4%)

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 (3.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	208	2	210
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	210	5	215

Error

Counts

215 → 5

Alt Table

Status	Error	Program
	10.7b	(/.f64 1 (/.f64 y (*.f64 x (-.f64 y z))))
	3.5b	(/.f64 x (*.f64 y (/.f64 1 (-.f64 y z))))
	9.0b	(*.f64 (/.f64 x y) (-.f64 y z))
✓	3.3b	(/.f64 x (/.f64 y (-.f64 y z)))
✓	3.3b	(*.f64 x (-.f64 1 (/.f64 z y)))

Compiler

Compiled 3593 to 826 computations (77% saved)

regimes430.0ms (18.5%)

Accuracy

Total 0.9b remaining (98.7%)

Threshold costs 0.9b (98.7%)

Counts

58 → 5

Compiler

Compiled 3286 to 1930 computations (41.3% saved)

bsearch2.0ms (0.1%)

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

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	113
1	44	113
2	57	113
3	70	113
4	77	113
5	80	113
6	81	113
7	80	113

end66.0ms (2.8%)

Compiler: Compiled 214 to 95 computations (55.6% saved)

Details

analyze64.0ms (2.7%)

sample664.0ms (28.5%)

simplify128.0ms (5.5%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

series21.0ms (0.9%)

rewrite18.0ms (0.8%)

simplify89.0ms (3.8%)

prune63.0ms (2.7%)

localize7.0ms (0.3%)

series16.0ms (0.7%)

rewrite18.0ms (0.8%)

simplify95.0ms (4.1%)

prune57.0ms (2.4%)

localize4.0ms (0.2%)

series12.0ms (0.5%)

rewrite27.0ms (1.2%)

simplify134.0ms (5.8%)

prune91.0ms (3.9%)

localize4.0ms (0.2%)

series24.0ms (1%)

rewrite68.0ms (2.9%)

simplify125.0ms (5.4%)

prune85.0ms (3.7%)

regimes430.0ms (18.5%)

bsearch2.0ms (0.1%)

simplify7.0ms (0.3%)

end66.0ms (2.8%)

Profiling