Details

analyze702.0ms (14.4%)

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)

sample3.3s (67.6%)

Results

1.8s	2810×	body	1024	valid
630.0ms	3103×	body	128	valid
419.0ms	1349×	body	512	valid
200.0ms	684×	body	256	valid
178.0ms	310×	body	2048	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 41 to 35 computations (14.6% saved)

simplify45.0ms (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 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)))

rewrite39.0ms (0.8%)

Algorithm

2×	batch-egg-rewrite

Rules

42× egg-rr

Counts

1 → 42

Calls

2 calls:

38.0ms	((sqrt.f64 (+.f64 1 (exp.f64 x))))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

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

simplify28.0ms (0.6%)

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

prune39.0ms (0.8%)

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

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)

series451.0ms (9.2%)

Counts

2 → 16

Calls

2 calls:

228.0ms	(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
223.0ms	(pow.f64 (+.f64 1 (exp.f64 x)) 1/4)

rewrite42.0ms (0.8%)

Algorithm

2×	batch-egg-rewrite

Rules

45× egg-rr

Counts

2 → 45

Calls

2 calls:

41.0ms	((pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	190	17
2	1820	17
3	4862	17
0	0	0
1	0	0

simplify94.0ms (1.9%)

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

61 → 59

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

prune31.0ms (0.6%)

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

Compiler

Compiled 745 to 580 computations (22.1% saved)

regimes40.0ms (0.8%)

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

end53.0ms (1.1%)

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

Details

analyze702.0ms (14.4%)

sample3.3s (67.6%)

simplify45.0ms (0.9%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series5.0ms (0.1%)

rewrite39.0ms (0.8%)

simplify28.0ms (0.6%)

prune39.0ms (0.8%)

localize5.0ms (0.1%)

series451.0ms (9.2%)

rewrite42.0ms (0.8%)

simplify94.0ms (1.9%)

prune31.0ms (0.6%)

regimes40.0ms (0.8%)

simplify2.0ms (0%)

end53.0ms (1.1%)

Profiling