Details

analyze1.0s (16.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
53.1%	46.9%	0%	6
54.7%	45.3%	0%	7
55.4%	44.5%	0%	8
55.8%	44.1%	0%	9
56%	43.9%	0%	10
56.1%	43.8%	0%	11
56.2%	43.8%	0%	12
56.2%	43.8%	0%	13
56.2%	43.7%	0%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample4.5s (74.8%)

Results

2.6s	2653×	body	1024	valid
515.0ms	1373×	body	512	valid
476.0ms	3287×	body	128	valid
424.0ms	2605×	body	128	invalid
209.0ms	277×	body	2048	valid
170.0ms	666×	body	256	valid

Compiler

Compiled 41 to 35 computations (14.6% saved)

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

667×	`div-sub_binary64`
601×	`associate-/l*_binary64`
488×	`associate-/r*_binary64`
380×	`fma-def_binary64`
279×	`distribute-rgt-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	25	13
2	34	13
3	59	13
4	123	11
5	318	8
6	1056	8
7	4350	8
8	4987	8

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 30 to 24 computations (20% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	0.0b	(+.f64 1 (exp.f64 x))

series10.0ms (0.2%)

Counts

2 → 8

Calls

2 calls:

8.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
2.0ms	(+.f64 1 (exp.f64 x))

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
9×	`add-sqr-sqrt_binary64`
4×	`sqrt-prod_binary64`
4×	`add-log-exp_binary64`
4×	`add-cube-cbrt_binary64`

Counts

2 → 38

Calls

2 calls:

5.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(+.f64 1 (exp.f64 x))

simplify123.0ms (2%)

Algorithm

1×	egg-herbie

Rules

733×	`times-frac_binary64`
283×	`fma-neg_binary64`
235×	`fma-def_binary64`
177×	`associate-/r/_binary64`
165×	`associate-+l+_binary64`

Counts

46 → 55

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	538
1	218	494
2	595	470
3	2140	454
4	4978	454
5	4938	454
6	5008	454

prune30.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	2	56

Error

Counts

56 → 2

Alt Table

Status	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	23.7b	(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))

Compiler

Compiled 681 to 497 computations (27% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
✓	0.4b	(/.f64 x (sqrt.f64 2))

series15.0ms (0.2%)

Counts

2 → 12

Calls

2 calls:

8.0ms	(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
7.0ms	(/.f64 x (sqrt.f64 2))

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`times-frac_binary64`
17×	`*-un-lft-identity_binary64`
17×	`add-sqr-sqrt_binary64`
17×	`add-cube-cbrt_binary64`
12×	`sqrt-prod_binary64`

Counts

2 → 51

Calls

2 calls:

3.0ms	(/.f64 x (sqrt.f64 2))
0.0ms	(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))

simplify116.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

721×	`distribute-rgt-in_binary64`
537×	`distribute-rgt-out_binary64`
525×	`fma-def_binary64`
370×	`associate-*l/_binary64`
335×	`associate-l_binary64`

Counts

63 → 59

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	78	848
1	123	797
2	248	797
3	437	797
4	959	797
5	2847	797
6	4764	797
7	4947	797

prune33.0ms (0.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	59	2	61

Error

Counts

61 → 2

Alt Table

Status	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	23.7b	(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))

Compiler

Compiled 842 to 701 computations (16.7% saved)

regimes39.0ms (0.6%)

Accuracy

Total 0.0b remaining (2.8%)

Threshold costs 0.0b (2.8%)

Counts

6 → 1

Compiler

Compiled 274 to 234 computations (14.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	9	8
2	8	8

end44.0ms (0.7%)

Compiler: Compiled 27 to 23 computations (14.8% saved)

Details

analyze1.0s (16.8%)

sample4.5s (74.8%)

simplify67.0ms (1.1%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series10.0ms (0.2%)

rewrite15.0ms (0.2%)

simplify123.0ms (2%)

prune30.0ms (0.5%)

localize5.0ms (0.1%)

series15.0ms (0.2%)

rewrite6.0ms (0.1%)

simplify116.0ms (1.9%)

prune33.0ms (0.5%)

regimes39.0ms (0.6%)

simplify2.0ms (0%)

end44.0ms (0.7%)

Profiling