Details

analyze1.2s (17%)

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)

sample5.5s (75%)

Results

3.3s	2855×	body	1024	valid
880.0ms	1325×	body	512	valid
639.0ms	3129×	body	128	valid
277.0ms	244×	body	2048	valid
272.0ms	703×	body	256	valid
1.0ms	3×	body	128	invalid

Compiler

Compiled 41 to 35 computations (14.6% saved)

simplify54.0ms (0.7%)

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

prune6.0ms (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)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series13.0ms (0.2%)

Counts

1 → 4

Calls

1 calls:

12.0ms

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

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64`
4×	`sqrt-prod_binary64`
2×	`sqrt-div_binary64`
2×	`add-cube-cbrt_binary64`

Counts

1 → 21

Calls

1 calls:

6.0ms

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

simplify65.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

733×	`times-frac_binary64`
661×	`associate-/l*_binary64`
283×	`fma-neg_binary64`
177×	`associate-/r/_binary64`
153×	`distribute-neg-frac_binary64`

Counts

25 → 29

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	357
1	170	333
2	478	309
3	1806	295
4	4964	295

prune42.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	2	30

Error

Counts

30 → 2

Alt Table

Status	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	24.7b	(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))

Compiler

Compiled 424 to 326 computations (23.1% saved)

localize9.0ms (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))

series29.0ms (0.4%)

Counts

2 → 12

Calls

2 calls:

14.0ms	(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
14.0ms	(/.f64 x (sqrt.f64 2))

rewrite11.0ms (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:

6.0ms	(/.f64 x (sqrt.f64 2))
1.0ms	(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))

simplify130.0ms (1.8%)

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

prune62.0ms (0.9%)

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)))
✓	24.7b	(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))

Compiler

Compiled 842 to 701 computations (16.7% saved)

regimes64.0ms (0.9%)

Accuracy

Total 0.0b remaining (9.7%)

Threshold costs 0.0b (9.7%)

Counts

5 → 1

Compiler

Compiled 259 to 222 computations (14.3% saved)

simplify4.0ms (0.1%)

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

end80.0ms (1.1%)

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

Details

analyze1.2s (17%)

sample5.5s (75%)

simplify54.0ms (0.7%)

prune6.0ms (0.1%)

localize7.0ms (0.1%)

series13.0ms (0.2%)

rewrite7.0ms (0.1%)

simplify65.0ms (0.9%)

prune42.0ms (0.6%)

localize9.0ms (0.1%)

series29.0ms (0.4%)

rewrite11.0ms (0.1%)

simplify130.0ms (1.8%)

prune62.0ms (0.9%)

regimes64.0ms (0.9%)

simplify4.0ms (0.1%)

end80.0ms (1.1%)

Profiling