Details

analyze720.0ms (15.9%)

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)

sample3.2s (70.3%)

Results

2.0s	2719×	body	1024	valid
413.0ms	1345×	body	512	valid
356.0ms	3196×	body	128	valid
170.0ms	306×	body	2048	valid
140.0ms	690×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 41 to 35 computations (14.6% saved)

simplify44.0ms (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

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)

localize3.0ms (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))

series6.0ms (0.1%)

Counts

2 → 8

Calls

2 calls:

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

rewrite8.0ms (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))

simplify80.0ms (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

prune39.0ms (0.9%)

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
▶	0.2b	(sqrt.f64 (log.f64 (*.f64 (exp.f64 1) (exp.f64 (exp.f64 x)))))
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 681 to 497 computations (27% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (log.f64 (*.f64 (exp.f64 1) (exp.f64 (exp.f64 x)))))
✓	0.0b	(exp.f64 (exp.f64 x))
✓	0.6b	(*.f64 (exp.f64 1) (exp.f64 (exp.f64 x)))

series187.0ms (4.1%)

Counts

3 → 12

Calls

3 calls:

181.0ms	(sqrt.f64 (log.f64 (*.f64 (exp.f64 1) (exp.f64 (exp.f64 x)))))
4.0ms	(*.f64 (exp.f64 1) (exp.f64 (exp.f64 x)))
2.0ms	(exp.f64 (exp.f64 x))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64`
13×	`pow1_binary64`
11×	`exp-prod_binary64`
10×	`add-sqr-sqrt_binary64`
8×	`sqrt-prod_binary64`

Counts

3 → 56

Calls

3 calls:

5.0ms	(*.f64 (exp.f64 1) (exp.f64 (exp.f64 x)))
4.0ms	(sqrt.f64 (log.f64 (*.f64 (exp.f64 1) (exp.f64 (exp.f64 x)))))
1.0ms	(exp.f64 (exp.f64 x))

simplify78.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

569×	`fma-def_binary64`
393×	`fma-neg_binary64`
349×	`associate--l+_binary64`
334×	`associate-l_binary64`
328×	`distribute-lft-out_binary64`

Counts

68 → 97

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	815
1	294	740
2	850	719
3	2537	710
4	4861	710
5	5038	710

prune66.0ms (1.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	97	2	99

Error

Counts

99 → 2

Alt Table

Status	Error	Program
✓	0.2b	(sqrt.f64 (log.f64 (*.f64 (exp.f64 1) (exp.f64 (exp.f64 x)))))
✓	0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 1409 to 997 computations (29.2% saved)

regimes39.0ms (0.9%)

Accuracy

Total 0.0b remaining (10.7%)

Threshold costs 0.0b (10.7%)

Counts

9 → 1

Compiler

Compiled 332 to 286 computations (13.9% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	9	8
2	7	8

end42.0ms (0.9%)

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

Details

analyze720.0ms (15.9%)

sample3.2s (70.3%)

simplify44.0ms (1%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

series6.0ms (0.1%)

rewrite8.0ms (0.2%)

simplify80.0ms (1.8%)

prune39.0ms (0.9%)

localize10.0ms (0.2%)

series187.0ms (4.1%)

rewrite12.0ms (0.3%)

simplify78.0ms (1.7%)

prune66.0ms (1.5%)

regimes39.0ms (0.9%)

simplify2.0ms (0%)

end42.0ms (0.9%)

Profiling