Details

analyze1.0s (21.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.3%	24.4%	11
31.4%	44.3%	24.4%	12
31.4%	44%	24.5%	13
31.5%	43.8%	24.8%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample454.0ms (9.8%)

Algorithm

1×

intervals

Results

306.0ms	85×	body	1024	valid
56.0ms	21×	body	256	valid
10.0ms	48×	body	512	valid
5.0ms	94×	body	128	valid
4.0ms	8×	body	2048	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 28 to 24 computations (14.3% saved)

simplify44.0ms (0.9%)

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))

series7.0ms (0.1%)

Counts

2 → 8

Calls

2 calls:

5.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
2.0ms	(+.f64 1 (exp.f64 x))

rewrite6.0ms (0.1%)

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:

3.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
2.0ms	(+.f64 1 (exp.f64 x))

simplify85.0ms (1.8%)

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

prune26.0ms (0.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

Counts

56 → 1

Alt Table

Status	Error	Program
▶	0b	(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))

Compiler

Compiled 669 to 486 computations (27.4% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
✓	0.0b	(exp.f64 (log1p.f64 (exp.f64 x)))
✓	0.0b	(log1p.f64 (exp.f64 x))

series694.0ms (14.9%)

Counts

3 → 36

Calls

3 calls:

292.0ms	(log1p.f64 (exp.f64 x))
204.0ms	(exp.f64 (log1p.f64 (exp.f64 x)))
198.0ms	(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
6×	`exp-prod_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`
4×	`sqrt-pow1_binary64`

Counts

3 → 43

Calls

3 calls:

1.0ms	(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
1.0ms	(exp.f64 (log1p.f64 (exp.f64 x)))
0.0ms	(log1p.f64 (exp.f64 x))

simplify65.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

795×	`times-frac_binary64`
323×	`fma-neg_binary64`
194×	`fma-def_binary64`
168×	`associate-+l+_binary64`
161×	`distribute-rgt-neg-in_binary64`

Counts

79 → 80

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	800
1	213	733
2	571	703
3	2170	691
4	4886	691
5	4942	691

prune121.0ms (2.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	1	81

Error

Counts

81 → 1

Alt Table

Status	Error	Program
✓	0b	(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))

Compiler

Compiled 876 to 497 computations (43.3% saved)

regimes33.0ms (0.7%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

6 → 1

Compiler

Compiled 260 to 223 computations (14.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	6	9

end0.0ms (0%)

Compiler: Compiled 6 to 5 computations (16.7% saved)

sample2.1s (44.8%)

Algorithm

1×

intervals

Results

1.2s	2658×	body	1024	valid
264.0ms	1272×	body	512	valid
217.0ms	3162×	body	128	valid
120.0ms	280×	body	2048	valid
78.0ms	628×	body	256	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 27 to 23 computations (14.8% saved)

Details

analyze1.0s (21.7%)

sample454.0ms (9.8%)

simplify44.0ms (0.9%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series7.0ms (0.1%)

rewrite6.0ms (0.1%)

simplify85.0ms (1.8%)

prune26.0ms (0.6%)

localize5.0ms (0.1%)

series694.0ms (14.9%)

rewrite4.0ms (0.1%)

simplify65.0ms (1.4%)

prune121.0ms (2.6%)

regimes33.0ms (0.7%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.1s (44.8%)

Profiling