Details

analyze117.0ms (10.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Compiler

Compiled 10 to 6 computations (40% saved)

sample21.0ms (1.9%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify8.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	7	10
2	7	10

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

0.0b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 18 to 10 computations (44.4% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))

rewrite10.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64`
1×	`+-commutative_binary64`
1×	`flip-+_binary64`
1×	`*-un-lft-identity_binary64`
1×	`flip3-+_binary64`

Counts

1 → 11

Calls

1 calls:

3.0ms

(+.f64 (*.f64 re re) (*.f64 im im))

Compiler

Compiled 180 to 40 computations (77.8% saved)

series17.0ms (1.5%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

14.0ms

(+.f64 (*.f64 re re) (*.f64 im im))

Compiler

Compiled 153 to 119 computations (22.2% saved)

simplify84.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

836×	`unswap-sqr_binary64`
336×	`cancel-sign-sub-inv_binary64`
248×	`distribute-rgt-out_binary64`
245×	`distribute-rgt-in_binary64`
222×	`*-commutative_binary64`

Counts

23 → 20

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	292
1	108	247
2	273	247
3	812	247
4	1976	247
5	4695	247
6	4994	247
7	4927	247

prune6.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	2	21

Error

Counts

21 → 2

Alt Table

Status	Error	Program
▶	0.0b	(.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))
✓	0.0b	(+.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 171 to 56 computations (67.3% saved)

localize7.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 im im) (.f64 re re))
0.0b	(.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))
6.2b	(sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))
6.2b	(sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))

rewrite67.0ms (6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64`
14×	`*-un-lft-identity_binary64`

Counts

4 → 100

Calls

4 calls:

12.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))
3.0ms	(+.f64 (.f64 im im) (.f64 re re))
3.0ms	(sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))
3.0ms	(sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))

Compiler

Compiled 2409 to 314 computations (87% saved)

series79.0ms (7.1%)

Error

Counts

4 → 52

Calls

4 calls:

19.0ms	(sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))
18.0ms	(sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))
15.0ms	(+.f64 (.f64 im im) (.f64 re re))
15.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))

Compiler

Compiled 1680 to 1058 computations (37% saved)

simplify130.0ms (11.7%)

Algorithm

1×	egg-herbie

Rules

606×	`cancel-sign-sub-inv_binary64`
504×	`associate-l_binary64`
466×	`associate-r_binary64`
275×	`times-frac_binary64`
260×	`distribute-rgt-neg-in_binary64`

Counts

152 → 127

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	117	2539
1	261	2306
2	796	2252
3	3387	2205
4	4927	2166
5	4964	2166

prune32.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	127	2	129

Error

Counts

129 → 2

Alt Table

Status	Error	Program
	0.0b	(.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) (sqrt.f64 (+.f64 (.f64 im im) (*.f64 re re))))
	0.0b	(+.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 1529 to 390 computations (74.5% saved)

regimes48.0ms (4.3%)

Accuracy

Total 0.0b remaining (27.5%)

Threshold costs 0.0b (27.5%)

Compiler

Compiled 585 to 335 computations (42.7% saved)

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	7	10
2	7	10

end6.0ms (0.6%)

Remove: (sort re im)
Compiler: Compiled 27 to 15 computations (44.4% saved)

sample475.0ms (42.6%)

Algorithm

1×

intervals

Results

226.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 49 to 25 computations (49% saved)

Details

analyze117.0ms (10.5%)

sample21.0ms (1.9%)

simplify8.0ms (0.8%)

prune1.0ms (0.1%)

localize4.0ms (0.4%)

rewrite10.0ms (0.9%)

series17.0ms (1.5%)

simplify84.0ms (7.5%)

prune6.0ms (0.6%)

localize7.0ms (0.6%)

rewrite67.0ms (6%)

series79.0ms (7.1%)

simplify130.0ms (11.7%)

prune32.0ms (2.8%)

regimes48.0ms (4.3%)

simplify3.0ms (0.3%)

end6.0ms (0.6%)

sample475.0ms (42.6%)

Profiling