Details

analyze1.1s (12.3%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.2%	0.1%	7
18.7%	81.2%	0.1%	8
29.7%	69.5%	0.9%	9
30.4%	67.9%	1.7%	10
36.3%	61.1%	2.6%	11
36.9%	59.5%	3.6%	12
39.9%	55.9%	4.2%	13
40.2%	54.9%	4.9%	14

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample73.0ms (0.8%)

Algorithm

1×

intervals

Results

24.0ms	24×	body	2048	valid
18.0ms	53×	body	1024	valid
11.0ms	142×	body	128	valid
5.0ms	23×	body	512	valid
4.0ms	1×	body	4096	valid
2.0ms	13×	body	256	valid
1.0ms	10×	body	128	invalid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify25.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

50×	`cancel-sign-sub-inv_binary64`
37×	`associate-/l*_binary64`
36×	`sub-neg_binary64`
30×	`div-sub_binary64`
30×	`times-frac_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	24	20
2	48	20
3	114	20
4	161	20
5	207	20
6	246	20
7	285	20
8	348	20
9	342	20
10	346	20
11	299	20

prune3.0ms (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

Error

13.1b

Counts

2 → 2

Alt Table

Status	Error	Program
	13.4b	(-.f64 (.f64 PI.f64 l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 PI.f64 l))))
▶	13.1b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))

Compiler

Compiled 74 to 44 computations (40.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
4.3b	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
28.0b	(tan.f64 (*.f64 PI.f64 l))

rewrite84.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

8.9b

Rules

14×	`add-sqr-sqrt_binary64`
13×	`add-cbrt-cube_binary64`
13×	`add-exp-log_binary64`
10×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64`

Counts

4 → 66

Calls

4 calls:

4.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
4.0ms	(*.f64 PI.f64 l)
3.0ms	(*.f64 PI.f64 l)
1.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 1091 to 236 computations (78.4% saved)

series102.0ms (1.2%)

Error

13.1b

Counts

4 → 19

Calls

4 calls:

38.0ms	(*.f64 PI.f64 l)
36.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
14.0ms	(tan.f64 (*.f64 PI.f64 l))
4.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 902 to 535 computations (40.7% saved)

simplify110.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

420×	`times-frac_binary64`
400×	`div-sub_binary64`
398×	`unswap-sqr_binary64`
372×	`associate-/l*_binary64`
278×	`associate-l_binary64`

Counts

85 → 34

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	111	1196
1	222	1044
2	656	1044
3	2513	1044
4	2991	1044
5	3876	1044
6	4831	1044
7	5327	1044

prune24.0ms (0.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	27	7	34
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	28	8	36

Error

9.0b

Counts

36 → 8

Alt Table

Status	Error	Program
	13.4b	(-.f64 (.f64 PI.f64 l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 PI.f64 l))))
	34.0b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 3))) (*.f64 F F)))
	13.1b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64)))) (.f64 F F)))
	13.3b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)) (.f64 l (cbrt.f64 PI.f64)))) (*.f64 F F)))
	39.5b	(-.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 3)) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	38.7b	(-.f64 (.f64 PI.f64 l) (/.f64 (sqrt.f64 (tan.f64 (.f64 PI.f64 l))) (/.f64 F (/.f64 (sqrt.f64 (tan.f64 (*.f64 PI.f64 l))) F))))
	11.3b	(-.f64 (.f64 PI.f64 l) (/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) (cbrt.f64 (tan.f64 (.f64 PI.f64 l)))) (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (*.f64 PI.f64 l))) F))))
▶	9.2b	(-.f64 (.f64 PI.f64 l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 PI.f64 l)) F))))

Compiler

Compiled 703 to 294 computations (58.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
0.7b	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
28.0b	(tan.f64 (*.f64 PI.f64 l))

rewrite658.0ms (7.5%)

Algorithm

1×	rewrite-expression-head

Error

8.9b

Rules

396×	`times-frac_binary64`
197×	`add-sqr-sqrt_binary64`
193×	`*-un-lft-identity_binary64`
193×	`add-cube-cbrt_binary64`
44×	`associate-/r*_binary64`

Counts

4 → 248

Calls

4 calls:

10.0ms	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
3.0ms	(*.f64 PI.f64 l)
3.0ms	(*.f64 PI.f64 l)
1.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 6783 to 2111 computations (68.9% saved)

series72.0ms (0.8%)

Error

9.0b

Counts

4 → 19

Calls

4 calls:

37.0ms	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
13.0ms	(tan.f64 (*.f64 PI.f64 l))
6.0ms	(*.f64 PI.f64 l)
5.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 954 to 592 computations (37.9% saved)

simplify370.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

508×	`unsub-neg_binary64`
393×	`*-commutative_binary64`
263×	`associate-/r/_binary64`
256×	`associate--r-_binary64`
218×	`associate--l-_binary64`

Counts

267 → 221

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	291	7461
1	571	6446
2	1801	6107
3	2096	6101
4	2686	6101
5	3711	5955
6	4433	5943
7	4888	5943

prune204.0ms (2.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	211	10	221
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	214	15	229

Error

9.0b

Counts

229 → 15

Alt Table

Status	Error	Program
	9.4b	(-.f64 (.f64 PI.f64 l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)) (.f64 l (cbrt.f64 PI.f64)))) F))))
	27.1b	(-.f64 (.f64 PI.f64 l) (exp.f64 (log.f64 (/.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F) F))))
	26.6b	(-.f64 (.f64 PI.f64 l) (.f64 (sqrt.f64 (/.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F) F)) (sqrt.f64 (/.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F) F))))
	11.3b	(-.f64 (.f64 PI.f64 l) (/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) (cbrt.f64 (tan.f64 (.f64 PI.f64 l)))) (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (*.f64 PI.f64 l))) F))))
	38.9b	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 1 F) (/.f64 (sqrt.f64 F) (/.f64 (tan.f64 (.f64 PI.f64 l)) (sqrt.f64 F)))))
	9.3b	(-.f64 (.f64 PI.f64 l) (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F) F)) (cbrt.f64 (/.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F) F))) (cbrt.f64 (/.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F) F))))
✓	9.2b	(-.f64 (.f64 PI.f64 l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 PI.f64 l)) F))))
	9.4b	(-.f64 (.f64 PI.f64 l) (.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F)) (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F))) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F)) F)))
	9.4b	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (cbrt.f64 F) (/.f64 (tan.f64 (.f64 PI.f64 l)) F))))
	34.0b	(-.f64 (.f64 PI.f64 l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 3))) F))))
▶	9.1b	(-.f64 (.f64 PI.f64 l) (.f64 1 (/.f64 (/.f64 (tan.f64 (*.f64 PI.f64 l)) F) F)))
	13.1b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64)))) (.f64 F F)))
	13.3b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)) (.f64 l (cbrt.f64 PI.f64)))) (*.f64 F F)))
	39.5b	(-.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 3)) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	9.4b	(-.f64 (.f64 PI.f64 l) (.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F)) (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F)) (cbrt.f64 F))))

Compiler

Compiled 2852 to 881 computations (69.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
28.0b	(tan.f64 (*.f64 PI.f64 l))

rewrite362.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

8.9b

Rules

20×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`
10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`

Counts

4 → 72

Calls

4 calls:

3.0ms	(*.f64 PI.f64 l)
3.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
3.0ms	(*.f64 PI.f64 l)
1.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 1356 to 449 computations (66.9% saved)

series85.0ms (1%)

Error

9.0b

Counts

4 → 19

Calls

4 calls:

39.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
13.0ms	(tan.f64 (*.f64 PI.f64 l))
6.0ms	(*.f64 PI.f64 l)
5.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 974 to 593 computations (39.1% saved)

simplify157.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

564×	`associate-/l/_binary64`
422×	`div-sub_binary64`
408×	`associate-/r/_binary64`
353×	`sqr-pow_binary64`
351×	`*-commutative_binary64`

Counts

91 → 32

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	117	1244
1	215	1131
2	541	1131
3	1386	1131
4	2404	1131
5	3015	1131
6	3518	1131
7	4066	1131
8	4200	1131
9	4389	1131
10	4866	1131

prune48.0ms (0.6%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	1	12	13
Picked	0	1	1
Done	0	1	1
Total	32	15	47

Error

9.0b

Counts

47 → 15

Alt Table

Status	Error	Program
	9.4b	(-.f64 (.f64 PI.f64 l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)) (.f64 l (cbrt.f64 PI.f64)))) F))))
	27.1b	(-.f64 (.f64 PI.f64 l) (exp.f64 (log.f64 (/.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F) F))))
	33.3b	(-.f64 (.f64 PI.f64 l) (.f64 1 (/.f64 (exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 PI.f64 l)) F))) F)))
	13.3b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)) (.f64 l (cbrt.f64 PI.f64)))) (*.f64 F F)))
	26.6b	(-.f64 (.f64 PI.f64 l) (.f64 (sqrt.f64 (/.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F) F)) (sqrt.f64 (/.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F) F))))
	11.3b	(-.f64 (.f64 PI.f64 l) (/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) (cbrt.f64 (tan.f64 (.f64 PI.f64 l)))) (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (*.f64 PI.f64 l))) F))))
	38.9b	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 1 F) (/.f64 (sqrt.f64 F) (/.f64 (tan.f64 (.f64 PI.f64 l)) (sqrt.f64 F)))))
✓	9.2b	(-.f64 (.f64 PI.f64 l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 PI.f64 l)) F))))
▶	9.4b	(-.f64 (.f64 PI.f64 l) (.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F)) (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F))) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F)) F)))
	9.4b	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (cbrt.f64 F) (/.f64 (tan.f64 (.f64 PI.f64 l)) F))))
	34.0b	(-.f64 (.f64 PI.f64 l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 3))) F))))
✓	9.1b	(-.f64 (.f64 PI.f64 l) (.f64 1 (/.f64 (/.f64 (tan.f64 (*.f64 PI.f64 l)) F) F)))
	13.1b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64)))) (.f64 F F)))
	39.5b	(-.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 3)) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	9.4b	(-.f64 (.f64 PI.f64 l) (.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F)) (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F)) (cbrt.f64 F))))

Compiler

Compiled 1055 to 511 computations (51.6% saved)

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

8.9b	(cbrt.f64 (/.f64 (tan.f64 (*.f64 PI.f64 l)) F))
28.0b	(tan.f64 (*.f64 PI.f64 l))
28.0b	(tan.f64 (*.f64 PI.f64 l))
28.0b	(tan.f64 (*.f64 PI.f64 l))

rewrite107.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

9.0b

Rules

13×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`

Counts

4 → 46

Calls

4 calls:

3.0ms	(cbrt.f64 (/.f64 (tan.f64 (*.f64 PI.f64 l)) F))
2.0ms	(tan.f64 (*.f64 PI.f64 l))
1.0ms	(tan.f64 (*.f64 PI.f64 l))
1.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 1672 to 277 computations (83.4% saved)

series223.0ms (2.6%)

Error

9.0b

Counts

4 → 21

Calls

4 calls:

142.0ms	(cbrt.f64 (/.f64 (tan.f64 (*.f64 PI.f64 l)) F))
17.0ms	(tan.f64 (*.f64 PI.f64 l))
15.0ms	(tan.f64 (*.f64 PI.f64 l))
14.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 2234 to 969 computations (56.6% saved)

simplify122.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

703×	`associate-r_binary64`
521×	`unswap-sqr_binary64`
420×	`div-sub_binary64`
374×	`exp-sum_binary64`
218×	`*-commutative_binary64`

Counts

67 → 25

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	114	1237
1	199	1192
2	380	1186
3	919	1176
4	2140	1155
5	4137	1155
6	5115	1155

prune54.0ms (0.6%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	2	10	12
Picked	0	1	1
Done	0	2	2
Total	26	14	40

Error

9.0b

Counts

40 → 14

Alt Table

Status	Error	Program
	39.2b	(-.f64 (.f64 PI.f64 l) (.f64 (.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) (pow.f64 F -1/3)) (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F))) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)) F)))
	27.1b	(-.f64 (.f64 PI.f64 l) (exp.f64 (log.f64 (/.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F) F))))
	9.4b	(-.f64 (.f64 PI.f64 l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)) (.f64 l (cbrt.f64 PI.f64)))) F))))
	26.6b	(-.f64 (.f64 PI.f64 l) (.f64 (sqrt.f64 (/.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F) F)) (sqrt.f64 (/.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F) F))))
	11.3b	(-.f64 (.f64 PI.f64 l) (/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 PI.f64 l))) (cbrt.f64 (tan.f64 (.f64 PI.f64 l)))) (/.f64 F (/.f64 (cbrt.f64 (tan.f64 (*.f64 PI.f64 l))) F))))
	9.4b	(-.f64 (.f64 PI.f64 l) (.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F)) (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F))) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F)) F)))
	9.4b	(-.f64 (.f64 PI.f64 l) (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (cbrt.f64 F) (/.f64 (tan.f64 (.f64 PI.f64 l)) F))))
	34.0b	(-.f64 (.f64 PI.f64 l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 3))) F))))
	9.1b	(-.f64 (.f64 PI.f64 l) (.f64 1 (/.f64 (/.f64 (tan.f64 (*.f64 PI.f64 l)) F) F)))
	13.1b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64)))) (.f64 F F)))
	13.3b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)) (.f64 l (cbrt.f64 PI.f64)))) (*.f64 F F)))
	39.5b	(-.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 3)) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	9.4b	(-.f64 (.f64 PI.f64 l) (.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F)) (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F))) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F)) (cbrt.f64 F))))
	9.2b	(-.f64 (.f64 PI.f64 l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 PI.f64 l)) F))))

Compiler

Compiled 1076 to 359 computations (66.6% saved)

regimes1.9s (22.2%)

Accuracy

Total 0.2b remaining (1.3%)

Threshold costs 0.2b (1.3%)

Compiler

Compiled 37598 to 21225 computations (43.5% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`distribute-rgt-neg-in_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	23	20
2	29	20
3	37	20
4	41	20
5	44	20
6	45	20
7	43	20

end0.0ms (0%)

Compiler: Compiled 14 to 8 computations (42.9% saved)

sample2.8s (31.8%)

Algorithm

1×

intervals

Results

1.1s	1071×	body	2048	valid
600.0ms	1804×	body	1024	valid
279.0ms	4080×	body	128	valid
159.0ms	702×	body	512	valid
136.0ms	38×	body	4096	valid
45.0ms	305×	body	256	valid
13.0ms	183×	body	128	invalid
6.0ms	13×	body	2048	invalid
2.0ms	4×	body	8192	exit

Compiler

Compiled 354 to 188 computations (46.9% saved)

Iter	Nodes	Cost
0	11	23
1	24	20
2	48	20
3	114	20
4	161	20
5	207	20
6	246	20
7	285	20
8	348	20
9	342	20
10	346	20
11	299	20

Iter	Nodes	Cost
0	11	23
1	24	20
2	48	20
3	114	20
4	161	20
5	207	20
6	246	20
7	285	20
8	348	20
9	342	20
10	346	20
11	299	20

Details

analyze1.1s (12.3%)

sample73.0ms (0.8%)

simplify25.0ms (0.3%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite84.0ms (1%)

series102.0ms (1.2%)

simplify110.0ms (1.3%)

prune24.0ms (0.3%)

localize10.0ms (0.1%)

rewrite658.0ms (7.5%)

series72.0ms (0.8%)

simplify370.0ms (4.2%)

prune204.0ms (2.3%)

localize10.0ms (0.1%)

rewrite362.0ms (4.1%)

series85.0ms (1%)

simplify157.0ms (1.8%)

prune48.0ms (0.6%)

localize37.0ms (0.4%)

rewrite107.0ms (1.2%)

series223.0ms (2.6%)

simplify122.0ms (1.4%)

prune54.0ms (0.6%)

regimes1.9s (22.2%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.8s (31.8%)

Profiling

Iter	Nodes	Cost
0	11	23
1	24	20
2	48	20
3	114	20
4	161	20
5	207	20
6	246	20
7	285	20
8	348	20
9	342	20
10	346	20
11	299	20