Details

analyze926.0ms (16.2%)

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)

sample2.2s (38.7%)

Results

1.9s	8256×	body	128	valid
133.0ms	790×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify155.0ms (2.7%)

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

prune2.0ms (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

14.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	14.0b	(/.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))
✓	13.2b	(/.f64 (*.f64 x (-.f64 y z)) y)

series37.0ms (0.7%)

Counts

2 → 72

Calls

2 calls:

26.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
11.0ms	(*.f64 x (-.f64 y z))

rewrite30.0ms (0.5%)

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:

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

simplify159.0ms (2.8%)

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

prune121.0ms (2.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	100	8	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	8	109

Error

0.0b

Counts

109 → 8

Alt Table

Status	Error	Program
▶	4.4b	(*.f64 x (/.f64 (-.f64 y z) y))
	4.6b	(-.f64 x (/.f64 (*.f64 z x) y))
	9.8b	(.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (-.f64 y z) (cbrt.f64 y)))
	50.4b	(/.f64 (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 y z))) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 y z)))) y)
	38.5b	(/.f64 (*.f64 (-.f64 y z) (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
	40.5b	(/.f64 (.f64 x (-.f64 (.f64 y y) (.f64 z z))) (.f64 y (+.f64 y z)))
	14.0b	(.f64 (.f64 x (-.f64 y z)) (/.f64 1 y))
	14.1b	(/.f64 1 (/.f64 y (*.f64 x (-.f64 y z))))

Compiler

Compiled 1861 to 561 computations (69.9% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 y z) y)
✓	4.1b	(*.f64 x (/.f64 (-.f64 y z) y))

series32.0ms (0.6%)

Counts

2 → 60

Calls

2 calls:

20.0ms	(*.f64 x (/.f64 (-.f64 y z) y))
11.0ms	(/.f64 (-.f64 y z) y)

rewrite29.0ms (0.5%)

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:

12.0ms	(*.f64 x (/.f64 (-.f64 y z) y))
8.0ms	(/.f64 (-.f64 y z) y)

simplify154.0ms (2.7%)

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

prune131.0ms (2.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	112	3	115
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	113	10	123

Error

Counts

123 → 10

Alt Table

Status	Error	Program
▶	4.4b	(*.f64 x (-.f64 1 (/.f64 z y)))
	9.8b	(.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (-.f64 y z) (cbrt.f64 y)))
	34.0b	(*.f64 x (/.f64 (/.f64 (-.f64 y z) (sqrt.f64 y)) (sqrt.f64 y)))
	4.6b	(-.f64 x (/.f64 (*.f64 z x) y))
	4.5b	(.f64 x (.f64 (-.f64 y z) (/.f64 1 y)))
	50.4b	(/.f64 (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 y z))) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 y z)))) y)
	38.5b	(/.f64 (*.f64 (-.f64 y z) (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
	40.5b	(/.f64 (.f64 x (-.f64 (.f64 y y) (.f64 z z))) (.f64 y (+.f64 y z)))
	14.0b	(.f64 (.f64 x (-.f64 y z)) (/.f64 1 y))
	14.1b	(/.f64 1 (/.f64 y (*.f64 x (-.f64 y z))))

Compiler

Compiled 1850 to 569 computations (69.2% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.1b	(*.f64 x (-.f64 1 (/.f64 z y)))

series26.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

26.0ms

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

rewrite53.0ms (0.9%)

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:

22.0ms

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

simplify205.0ms (3.6%)

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

prune232.0ms (4.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	154	10	164

Error

Counts

164 → 10

Alt Table

Status	Error	Program
✓	4.4b	(*.f64 x (-.f64 1 (/.f64 z y)))
	9.8b	(.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (-.f64 y z) (cbrt.f64 y)))
▶	4.5b	(.f64 x (.f64 (-.f64 y z) (/.f64 1 y)))
	30.1b	(*.f64 (fma.f64 x (sqrt.f64 (/.f64 z y)) x) (-.f64 1 (sqrt.f64 (/.f64 z y))))
	50.4b	(/.f64 (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 y z))) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 y z)))) y)
	38.5b	(/.f64 (*.f64 (-.f64 y z) (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
	40.5b	(/.f64 (.f64 x (-.f64 (.f64 y y) (.f64 z z))) (.f64 y (+.f64 y z)))
	14.0b	(.f64 (.f64 x (-.f64 y z)) (/.f64 1 y))
	14.1b	(/.f64 1 (/.f64 y (*.f64 x (-.f64 y z))))
	4.6b	(-.f64 x (/.f64 (*.f64 z x) y))

Compiler

Compiled 4853 to 1743 computations (64.1% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (-.f64 y z) (/.f64 1 y))
✓	4.1b	(.f64 x (.f64 (-.f64 y z) (/.f64 1 y)))

series33.0ms (0.6%)

Counts

2 → 60

Calls

2 calls:

24.0ms	(.f64 x (.f64 (-.f64 y z) (/.f64 1 y)))
9.0ms	(*.f64 (-.f64 y z) (/.f64 1 y))

rewrite38.0ms (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:

15.0ms	(.f64 x (.f64 (-.f64 y z) (/.f64 1 y)))
14.0ms	(*.f64 (-.f64 y z) (/.f64 1 y))

simplify124.0ms (2.2%)

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

prune127.0ms (2.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	119	9	128

Error

Counts

128 → 9

Alt Table

Status	Error	Program
✓	4.4b	(*.f64 x (-.f64 1 (/.f64 z y)))
	9.8b	(.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (-.f64 y z) (cbrt.f64 y)))
✓	4.5b	(.f64 x (.f64 (-.f64 y z) (/.f64 1 y)))
	23.4b	(/.f64 (.f64 x (-.f64 y (.f64 (/.f64 z y) z))) (+.f64 y z))
	30.1b	(*.f64 (fma.f64 x (sqrt.f64 (/.f64 z y)) x) (-.f64 1 (sqrt.f64 (/.f64 z y))))
	50.4b	(/.f64 (.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 y z))) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 y z)))) y)
	38.5b	(/.f64 (*.f64 (-.f64 y z) (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
	14.0b	(.f64 (.f64 x (-.f64 y z)) (/.f64 1 y))
	14.1b	(/.f64 1 (/.f64 y (*.f64 x (-.f64 y z))))

Compiler

Compiled 1873 to 807 computations (56.9% saved)

regimes651.0ms (11.4%)

Accuracy

Total 1.7b remaining (98.8%)

Threshold costs 0b (0%)

Counts

64 → 3

Compiler

Compiled 3838 to 2194 computations (42.8% saved)

bsearch3.0ms (0.1%)

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
9×	`*-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	60
1	40	60
2	57	60
3	72	60
4	78	60
5	79	60
6	79	60

end188.0ms (3.3%)

Compiler: Compiled 218 to 115 computations (47.2% saved)

Details

analyze926.0ms (16.2%)

sample2.2s (38.7%)

simplify155.0ms (2.7%)

prune2.0ms (0%)

localize9.0ms (0.2%)

series37.0ms (0.7%)

rewrite30.0ms (0.5%)

simplify159.0ms (2.8%)

prune121.0ms (2.1%)

localize9.0ms (0.2%)

series32.0ms (0.6%)

rewrite29.0ms (0.5%)

simplify154.0ms (2.7%)

prune131.0ms (2.3%)

localize9.0ms (0.2%)

series26.0ms (0.5%)

rewrite53.0ms (0.9%)

simplify205.0ms (3.6%)

prune232.0ms (4.1%)

localize11.0ms (0.2%)

series33.0ms (0.6%)

rewrite38.0ms (0.7%)

simplify124.0ms (2.2%)

prune127.0ms (2.2%)

regimes651.0ms (11.4%)

bsearch3.0ms (0.1%)

simplify8.0ms (0.1%)

end188.0ms (3.3%)

Profiling