Details

analyze700.0ms (13.1%)

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%	44.4%	24.3%	11
31.4%	44.3%	24.3%	12
31.4%	44.1%	24.5%	13
31.5%	43.8%	24.8%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample3.5s (66.1%)

Results

2.2s	2810×	body	1024	valid
501.0ms	1349×	body	512	valid
347.0ms	3103×	body	128	valid
180.0ms	310×	body	2048	valid
180.0ms	684×	body	256	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 41 to 35 computations (14.6% saved)

simplify59.0ms (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

prune4.0ms (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 1 expressions with local error:

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

series5.0ms (0.1%)

Counts

1 → 4

Calls

1 calls:

5.0ms

(sqrt.f64 (+.f64 1 (exp.f64 x)))

rewrite49.0ms (0.9%)

Algorithm

1×	egg-rewrite

Rules

42× egg

Counts

1 → 42

Calls

1 calls:

48.0ms

(sqrt.f64 (+.f64 1 (exp.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	117	8
2	1314	8
3	5001	8

simplify42.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

733×	`times-frac_binary64`
661×	`associate-/l*_binary64`
338×	`associate-/r*_binary64`
268×	`fma-neg_binary64`
177×	`associate-/r/_binary64`

Counts

46 → 49

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	144
1	108	132
2	369	108
3	1614	96
4	5024	96

prune32.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	2	50

Error

Counts

50 → 2

Alt Table

Status	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	0.7b	(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)

Compiler

Compiled 693 to 533 computations (23.1% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 1 (exp.f64 x)) 1/4)
✓	0.7b	(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)

series460.0ms (8.6%)

Counts

2 → 16

Calls

2 calls:

236.0ms	(pow.f64 (+.f64 1 (exp.f64 x)) 1/4)
223.0ms	(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)

rewrite152.0ms (2.9%)

Algorithm

2×	egg-rewrite

Rules

32×	`egg`
25×	`egg`

Counts

2 → 57

Calls

2 calls:

86.0ms	(pow.f64 (+.f64 1 (exp.f64 x)) 1/4)
65.0ms	(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	190	8
2	1820	8
3	4862	8
0	7	9
1	146	9
2	1550	9
3	4916	9
4	4889	9

simplify115.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

762×	`distribute-rgt-out_binary64`
708×	`associate-+l+_binary64`
480×	`*-commutative_binary64`
404×	`unswap-sqr_binary64`
323×	`associate-/l/_binary64`

Counts

73 → 70

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	230
1	105	228
2	291	216
3	880	198
4	1388	188
5	1804	188
6	2925	188
7	2843	188
8	3160	188
9	4352	188
10	4914	188
11	4943	188

prune38.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	70	2	72

Error

Counts

72 → 2

Alt Table

Status	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	0.7b	(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)

Compiler

Compiled 874 to 683 computations (21.9% saved)

regimes38.0ms (0.7%)

Accuracy

Total 0.0b remaining (12.6%)

Threshold costs 0.0b (12.6%)

Counts

9 → 1

Compiler

Compiled 364 to 309 computations (15.1% 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

end101.0ms (1.9%)

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

Details

analyze700.0ms (13.1%)

sample3.5s (66.1%)

simplify59.0ms (1.1%)

prune4.0ms (0.1%)

localize4.0ms (0.1%)

series5.0ms (0.1%)

rewrite49.0ms (0.9%)

simplify42.0ms (0.8%)

prune32.0ms (0.6%)

localize5.0ms (0.1%)

series460.0ms (8.6%)

rewrite152.0ms (2.9%)

simplify115.0ms (2.2%)

prune38.0ms (0.7%)

regimes38.0ms (0.7%)

simplify2.0ms (0%)

end101.0ms (1.9%)

Profiling