Details

analyze700.0ms (1.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
25%	25%	50%	2
25%	25%	50%	3
31.2%	18.7%	50%	4
31.2%	18.7%	50%	5
34.3%	15.6%	50%	6
34.3%	15.6%	50%	7
35.9%	14%	50%	8
35.9%	14%	50%	9
36.7%	13.3%	50%	10
36.7%	13.3%	50%	11
37.1%	12.9%	50%	12
37.1%	12.9%	50%	13
37.3%	12.7%	50%	14

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample69.0ms (0.1%)

Algorithm

1×

intervals

Results

19.0ms	203×	body	128	valid
14.0ms	16×	body	4096	valid
7.0ms	256×	pre	128	true
6.0ms	16×	body	1024	valid
5.0ms	11×	body	2048	valid
1.0ms	6×	body	256	valid
1.0ms	4×	body	512	valid

Compiler

Compiled 33 to 28 computations (15.2% saved)

simplify222.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	249	23
1	249	23

prune5.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 36.6b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize22.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
1.3b	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
28.9b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite71.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_441`
7×	`*-un-lft-identity_binary64_419` `pow1_binary64_480`
5×	`add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `sqrt-prod_binary64_435`
4×	`sqrt-div_binary64_436`
3×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `sqrt-pow1_binary64_437` `cancel-sign-sub-inv_binary64_385`
2×	`difference-of-squares_binary64_388` `pow1/2_binary64_499` `flip3--_binary64_423` `associate-*r/_binary64_361` `flip--_binary64_394`
1×	`flip3-+_binary64_422` `pow-prod-down_binary64_490` `sub-neg_binary64_412` `distribute-lft-out--_binary64_371` `flip-+_binary64_393` `diff-log_binary64_511` `rem-sqrt-square_binary64_432`

Counts

3 → 45

Calls

3 calls:

30.0ms	(sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
21.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
14.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

series300.0ms (0.6%)

Counts

3 → 9

Calls

3 calls:

207.0ms	(sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
51.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
42.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

simplify192.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (159.0ms)

Iter	Nodes	Cost
0	4923	947
1	4923	947

prune526.0ms (1.1%)

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	22	32	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	33	55

Merged error: 8.7b

Counts

55 → 33

Compiler

Compiled 1778 to 926 computations (47.9% saved)

localize12.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(sqrt.f64 (*.f64 2 (-.f64 im re)))

rewrite12.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`pow1_binary64_480`
2×	`sqrt-div_binary64_436` `associate-*r/_binary64_361` `sqrt-pow1_binary64_437`
1×	`*-un-lft-identity_binary64_419` `pow-prod-down_binary64_490` `add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `pow1/2_binary64_499` `add-sqr-sqrt_binary64_441` `flip3--_binary64_423` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `flip--_binary64_394` `sqrt-prod_binary64_435`

Counts

1 → 13

Calls

1 calls:

11.0ms

(sqrt.f64 (*.f64 2 (-.f64 im re)))

series129.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

129.0ms

(sqrt.f64 (*.f64 2 (-.f64 im re)))

simplify127.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4956	255
1	4956	255

prune317.0ms (0.6%)

Pruning

40 alts after pruning (38 fresh and 2 done)

	Pruned	Kept	Total
New	6	10	16
Fresh	3	28	31
Picked	0	1	1
Done	0	1	1
Total	9	40	49

Merged error: 8.7b

Counts

49 → 40

Compiler

Compiled 1024 to 716 computations (30.1% saved)

localize16.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(pow.f64 (*.f64 2 (-.f64 im re)) 1/2)

rewrite19.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-exp-log_binary64_457` `pow1_binary64_480`
3×	`pow-unpow_binary64_496`
2×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `pow-exp_binary64_487` `pow-pow_binary64_491`
1×	`pow-prod-down_binary64_490` `unpow-prod-down_binary64_498` `add-log-exp_binary64_458` `prod-exp_binary64_468` `sqr-pow_binary64_391` `pow-to-exp_binary64_488` `add-cbrt-cube_binary64_455` `unpow1/2_binary64_483`

Counts

1 → 18

Calls

1 calls:

15.0ms

(pow.f64 (*.f64 2 (-.f64 im re)) 1/2)

series387.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

387.0ms

(pow.f64 (*.f64 2 (-.f64 im re)) 1/2)

simplify197.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (182.0ms)

Iter	Nodes	Cost
0	4838	230
1	4838	230

prune220.0ms (0.4%)

Pruning

46 alts after pruning (43 fresh and 3 done)

	Pruned	Kept	Total
New	15	6	21
Fresh	0	37	37
Picked	0	1	1
Done	0	2	2
Total	15	46	61

Merged error: 8.5b

Counts

61 → 46

Compiler

Compiled 1097 to 791 computations (27.9% saved)

localize20.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(pow.f64 (*.f64 2 (-.f64 im re)) 1/2)

rewrite15.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-exp-log_binary64_457` `pow1_binary64_480`
3×	`pow-unpow_binary64_496`
2×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `pow-exp_binary64_487` `pow-pow_binary64_491`
1×	`pow-prod-down_binary64_490` `unpow-prod-down_binary64_498` `add-log-exp_binary64_458` `prod-exp_binary64_468` `sqr-pow_binary64_391` `pow-to-exp_binary64_488` `add-cbrt-cube_binary64_455` `unpow1/2_binary64_483`

Counts

1 → 18

Calls

1 calls:

12.0ms

(pow.f64 (*.f64 2 (-.f64 im re)) 1/2)

series213.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

213.0ms

(pow.f64 (*.f64 2 (-.f64 im re)) 1/2)

simplify197.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (181.0ms)

Iter	Nodes	Cost
0	4838	230
1	4838	230

prune191.0ms (0.4%)

Pruning

56 alts after pruning (52 fresh and 4 done)

	Pruned	Kept	Total
New	9	12	21
Fresh	2	40	42
Picked	0	1	1
Done	0	3	3
Total	11	56	67

Merged error: 8.5b

Counts

67 → 56

Compiler

Compiled 288 to 219 computations (24% saved)

regimes4.6s (9.4%)

Compiler: Compiled 11339 to 8788 computations (22.5% saved)

bsearch32.9s (67.1%)

Compiler: Compiled 13 to 10 computations (23.1% saved)

simplify43.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	118
1	59	118

end0.0ms (0%)

sample7.3s (14.9%)

Algorithm

1×

intervals

Results

671.0ms	6065×	body	128	valid
458.0ms	563×	body	4096	valid
368.0ms	628×	body	2048	valid
247.0ms	8000×	pre	128	true
173.0ms	403×	body	1024	valid
71.0ms	215×	body	512	valid
23.0ms	126×	body	256	valid

Compiler

Compiled 2164 to 1566 computations (27.6% saved)

Pareto

0.2914406191908873

Details

analyze700.0ms (1.4%)

sample69.0ms (0.1%)

simplify222.0ms (0.5%)

prune5.0ms (0%)

localize22.0ms (0%)

rewrite71.0ms (0.1%)

series300.0ms (0.6%)

simplify192.0ms (0.4%)

prune526.0ms (1.1%)

localize12.0ms (0%)

rewrite12.0ms (0%)

series129.0ms (0.3%)

simplify127.0ms (0.3%)

prune317.0ms (0.6%)

localize16.0ms (0%)

rewrite19.0ms (0%)

series387.0ms (0.8%)

simplify197.0ms (0.4%)

prune220.0ms (0.4%)

localize20.0ms (0%)

rewrite15.0ms (0%)

series213.0ms (0.4%)

simplify197.0ms (0.4%)

prune191.0ms (0.4%)

regimes4.6s (9.4%)

bsearch32.9s (67.1%)

simplify43.0ms (0.1%)

end0.0ms (0%)

sample7.3s (14.9%)

Profiling