Details

analyze819.0ms (23.4%)

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%	44.3%	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)

sample71.0ms (2%)

Algorithm

1×

intervals

Results

34.0ms	82×	body	1024	valid
13.0ms	52×	body	512	valid
6.0ms	87×	body	128	valid
5.0ms	27×	body	256	valid
4.0ms	8×	body	2048	valid

Compiler

Compiled 28 to 24 computations (14.3% saved)

simplify68.0ms (2%)

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

prune5.0ms (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 (0.2%)

Counts

2 → 8

Calls

2 calls:

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

rewrite7.0ms (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:

4.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
2.0ms	(+.f64 1 (exp.f64 x))

simplify116.0ms (3.3%)

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

prune48.0ms (1.4%)

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)))
▶	18.7b	(sqrt.f64 (+.f64 2 x))

Compiler

Compiled 673 to 489 computations (27.3% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 2 x))

series9.0ms (0.2%)

Counts

1 → 4

Calls

1 calls:

9.0ms

(sqrt.f64 (+.f64 2 x))

rewrite3.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 19

Calls

1 calls:

3.0ms

(sqrt.f64 (+.f64 2 x))

simplify65.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

647×	`fma-neg_binary64`
462×	`times-frac_binary64`
435×	`distribute-neg-frac_binary64`
359×	`associate-/l*_binary64`
342×	`fma-def_binary64`

Counts

23 → 28

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	263
1	124	246
2	270	245
3	838	234
4	3514	234
5	4993	234

prune89.0ms (2.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

30 → 2

Alt Table

Status	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	18.7b	(sqrt.f64 (+.f64 2 x))

Compiler

Compiled 319 to 265 computations (16.9% saved)

regimes35.0ms (1%)

Accuracy

Total 0.0b remaining (13.6%)

Threshold costs 0.0b (13.6%)

Counts

4 → 1

Compiler

Compiled 217 to 183 computations (15.7% saved)

simplify3.0ms (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

end0.0ms (0%)

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

sample2.1s (61.3%)

Algorithm

1×

intervals

Results

1.1s	2684×	body	1024	valid
342.0ms	1351×	body	512	valid
203.0ms	3024×	body	128	valid
130.0ms	283×	body	2048	valid
113.0ms	658×	body	256	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 32 to 27 computations (15.6% saved)

Details

analyze819.0ms (23.4%)

sample71.0ms (2%)

simplify68.0ms (2%)

prune5.0ms (0.1%)

localize4.0ms (0.1%)

series7.0ms (0.2%)

rewrite7.0ms (0.2%)

simplify116.0ms (3.3%)

prune48.0ms (1.4%)

localize3.0ms (0.1%)

series9.0ms (0.2%)

rewrite3.0ms (0.1%)

simplify65.0ms (1.8%)

prune89.0ms (2.6%)

regimes35.0ms (1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.1s (61.3%)

Profiling