Details

analyze1.0s (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)

sample75.0ms (0.9%)

Algorithm

1×

intervals

Results

21.0ms	24×	body	2048	valid
19.0ms	78×	body	1024	valid
9.0ms	121×	body	128	valid
7.0ms	2×	body	4096	valid
3.0ms	21×	body	512	valid
1.0ms	10×	body	256	valid
0.0ms	1×	body	2048	invalid
0.0ms	5×	body	128	invalid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify24.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

prune8.0ms (0.1%)

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

14.5b

Counts

2 → 2

Alt Table

Status	Error	Program
▶	14.5b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	14.7b	(-.f64 (.f64 PI.f64 l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 PI.f64 l))))

Compiler

Compiled 74 to 44 computations (40.5% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
4.6b	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
32.2b	(tan.f64 (*.f64 PI.f64 l))

rewrite121.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

9.9b

Rules

14×	`add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
8×	`pow1_binary64`
6×	`associate-l_binary64` `associate-r_binary64`

Counts

4 → 66

Calls

4 calls:

6.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
4.0ms	(*.f64 PI.f64 l)
3.0ms	(*.f64 PI.f64 l)
2.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 1091 to 236 computations (78.4% saved)

series77.0ms (0.9%)

Error

14.5b

Counts

4 → 15

Calls

4 calls:

40.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
20.0ms	(tan.f64 (*.f64 PI.f64 l))
6.0ms	(*.f64 PI.f64 l)
6.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 580 to 319 computations (45% saved)

simplify106.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

638×	`div-sub_binary64`
448×	`associate-/l*_binary64`
392×	`associate-/l/_binary64`
315×	`associate-l_binary64`
308×	`associate-/r*_binary64`

Counts

81 → 29

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	80	1050
1	162	910
2	406	910
3	889	910
4	2530	910
5	3266	910
6	4690	910
7	5800	910

prune29.0ms (0.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	22	7	29
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	23	8	31

Error

10.0b

Counts

31 → 8

Alt Table

Status	Error	Program
	14.6b	(-.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)))
	13.4b	(-.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))))
	14.7b	(-.f64 (.f64 PI.f64 l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 PI.f64 l))))
	40.4b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 3))) (*.f64 F F)))
▶	10.2b	(-.f64 (.f64 PI.f64 l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 PI.f64 l)) F))))
	36.5b	(-.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))))
	42.2b	(-.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 3)) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	14.5b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64)))) (.f64 F F)))

Compiler

Compiled 578 to 246 computations (57.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 PI.f64 l)
0.2b	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
0.6b	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
32.2b	(tan.f64 (*.f64 PI.f64 l))

rewrite577.0ms (6.8%)

Algorithm

1×	rewrite-expression-head

Error

9.9b

Rules

405×	`times-frac_binary64`
201×	`add-sqr-sqrt_binary64`
199×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
47×	`associate-/r*_binary64`
29×	`add-exp-log_binary64`

Counts

4 → 258

Calls

4 calls:

14.0ms	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
4.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
4.0ms	(*.f64 PI.f64 l)
2.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 7075 to 2216 computations (68.7% saved)

series96.0ms (1.1%)

Error

10.0b

Counts

4 → 18

Calls

4 calls:

38.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
36.0ms	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
10.0ms	(tan.f64 (*.f64 PI.f64 l))
6.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 797 to 456 computations (42.8% saved)

simplify413.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

620×	`unswap-sqr_binary64`
335×	`sqr-pow_binary64`
325×	`*-commutative_binary64`
270×	`associate-/r/_binary64`
190×	`div-sub_binary64`

Counts

276 → 227

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	271	7816
1	527	6742
2	1589	6403
3	1834	6397
4	2308	6397
5	3333	6243
6	4282	6231
7	4850	6159
8	5017	6159

prune201.0ms (2.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	219	8	227
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	222	13	235

Error

9.9b

Counts

235 → 13

Alt Table

Status	Error	Program
	33.0b	(-.f64 (.f64 PI.f64 l) (.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F)) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F)) F)))
	14.6b	(-.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)))
	10.4b	(-.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 F (cbrt.f64 (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))))
	40.4b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 3))) (*.f64 F F)))
✓	10.2b	(-.f64 (.f64 PI.f64 l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 PI.f64 l)) F))))
	14.5b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 PI.f64 l)) (/.f64 F (/.f64 1 F))))
	17.3b	(-.f64 (.f64 PI.f64 l) (/.f64 1 (/.f64 F (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F) 3)))))
	27.0b	(-.f64 (.f64 PI.f64 l) (exp.f64 (log.f64 (/.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F) F))))
	10.4b	(-.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))))
▶	10.2b	(-.f64 (.f64 PI.f64 l) (.f64 1 (/.f64 (/.f64 (tan.f64 (*.f64 PI.f64 l)) F) F)))
	10.4b	(-.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))))
	42.2b	(-.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 3)) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	14.5b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64)))) (.f64 F F)))

Compiler

Compiled 2838 to 868 computations (69.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 PI.f64 l)
0.2b	(*.f64 PI.f64 l)
0.2b	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
32.2b	(tan.f64 (*.f64 PI.f64 l))

rewrite160.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

9.9b

Rules

20×	`add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`times-frac_binary64`
8×	`pow1_binary64`

Counts

4 → 72

Calls

4 calls:

4.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
4.0ms	(*.f64 PI.f64 l)
3.0ms	(*.f64 PI.f64 l)
2.0ms	(tan.f64 (*.f64 PI.f64 l))

Compiler

Compiled 1356 to 449 computations (66.9% saved)

series68.0ms (0.8%)

Error

9.9b

Counts

4 → 15

Calls

4 calls:

36.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
10.0ms	(tan.f64 (*.f64 PI.f64 l))
8.0ms	(*.f64 PI.f64 l)
6.0ms	(*.f64 PI.f64 l)

Compiler

Compiled 635 to 370 computations (41.7% saved)

simplify155.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

526×	`times-frac_binary64`
509×	`associate-/l/_binary64`
418×	`associate-/l*_binary64`
392×	`div-sub_binary64`
348×	`unswap-sqr_binary64`

Counts

87 → 21

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	87	1113
1	154	1012
2	343	1012
3	520	1012
4	833	1012
5	1382	1012
6	2852	1012
7	3584	1012
8	4169	1012
9	4799	1012
10	4877	1012

prune50.0ms (0.6%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	20	14	34

Error

9.9b

Counts

34 → 14

Alt Table

Status	Error	Program
	33.0b	(-.f64 (.f64 PI.f64 l) (.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F)) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F)) F)))
	14.6b	(-.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)))
	10.4b	(-.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 F (cbrt.f64 (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))))
	39.8b	(-.f64 (.f64 PI.f64 l) (.f64 1 (/.f64 (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (*.f64 PI.f64 l) 3))) F) F)))
✓	10.2b	(-.f64 (.f64 PI.f64 l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 PI.f64 l)) F))))
	14.5b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 PI.f64 l)) (/.f64 F (/.f64 1 F))))
▶	10.2b	(-.f64 (.f64 PI.f64 l) (.f64 1 (/.f64 (/.f64 (tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64)))) F) F)))
	17.3b	(-.f64 (.f64 PI.f64 l) (/.f64 1 (/.f64 F (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F) 3)))))
	27.0b	(-.f64 (.f64 PI.f64 l) (exp.f64 (log.f64 (/.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F) F))))
	10.4b	(-.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))))
✓	10.2b	(-.f64 (.f64 PI.f64 l) (.f64 1 (/.f64 (/.f64 (tan.f64 (*.f64 PI.f64 l)) F) F)))
	10.4b	(-.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))))
	42.2b	(-.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 3)) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))
	14.5b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64)))) (.f64 F F)))

Compiler

Compiled 841 to 409 computations (51.4% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64)))
1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)
32.3b	(tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64))))

rewrite162.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

9.9b

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
8×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`associate-l_binary64`

Counts

4 → 55

Calls

4 calls:

7.0ms	(.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64)))
3.0ms	(tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64))))
1.0ms	(sqrt.f64 PI.f64)
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1162 to 437 computations (62.4% saved)

series21.0ms (0.2%)

Error

9.9b

Counts

4 → 6

Calls

4 calls:

10.0ms	(tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64))))
6.0ms	(.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64)))
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 268 to 157 computations (41.4% saved)

simplify99.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

773×	`unswap-sqr_binary64`
513×	`log-div_binary64`
489×	`associate-/r/_binary64`
430×	`associate-/l*_binary64`
379×	`associate-l_binary64`

Counts

61 → 32

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	59	721
1	106	479
2	231	479
3	361	479
4	532	479
5	747	479
6	1038	479
7	1559	479
8	3283	469
9	4837	469
10	5033	469

prune74.0ms (0.9%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	2	9	11
Picked	0	1	1
Done	0	2	2
Total	33	13	46

Error

9.9b

Counts

46 → 13

Alt Table

Status	Error	Program
	33.0b	(-.f64 (.f64 PI.f64 l) (.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F)) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F)) F)))
	14.6b	(-.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)))
	10.4b	(-.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 F (cbrt.f64 (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))))
	39.8b	(-.f64 (.f64 PI.f64 l) (.f64 1 (/.f64 (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (*.f64 PI.f64 l) 3))) F) F)))
	10.2b	(-.f64 (.f64 PI.f64 l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 PI.f64 l)) F))))
	10.5b	(-.f64 (.f64 PI.f64 l) (.f64 1 (/.f64 (/.f64 (tan.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 PI.f64)) (cbrt.f64 (sqrt.f64 PI.f64))) (.f64 (.f64 l (sqrt.f64 PI.f64)) (cbrt.f64 (sqrt.f64 PI.f64))))) F) F)))
	14.5b	(-.f64 (.f64 PI.f64 l) (/.f64 (tan.f64 (.f64 PI.f64 l)) (/.f64 F (/.f64 1 F))))
	10.2b	(-.f64 (.f64 PI.f64 l) (.f64 1 (/.f64 (/.f64 (tan.f64 (.f64 (sqrt.f64 PI.f64) (.f64 l (sqrt.f64 PI.f64)))) F) F)))
	17.3b	(-.f64 (.f64 PI.f64 l) (/.f64 1 (/.f64 F (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 PI.f64 l)) F) 3)))))
	10.4b	(-.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))))
	10.2b	(-.f64 (.f64 PI.f64 l) (.f64 1 (/.f64 (/.f64 (tan.f64 (*.f64 PI.f64 l)) F) F)))
	10.4b	(-.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))))
	42.2b	(-.f64 (cbrt.f64 (pow.f64 (.f64 PI.f64 l) 3)) (/.f64 (tan.f64 (.f64 PI.f64 l)) (*.f64 F F)))

Compiler

Compiled 804 to 389 computations (51.6% saved)

regimes2.4s (27.7%)

Accuracy

Total 0.2b remaining (1.4%)

Threshold costs 0.2b (1.4%)

Compiler

Compiled 40657 to 23455 computations (42.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`sub-neg_binary64` `+-commutative_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`cancel-sign-sub-inv_binary64` `distribute-neg-frac_binary64` `distribute-rgt-neg-in_binary64`
1×	`1-exp_binary64` `*-lft-identity_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	28	38
2	34	38
3	39	38
4	44	38
5	47	38
6	48	38
7	46	38

end1.0ms (0%)

Compiler: Compiled 23 to 13 computations (43.5% saved)

sample2.5s (29.8%)

Algorithm

1×

intervals

Results

900.0ms	1042×	body	2048	valid
481.0ms	1846×	body	1024	valid
257.0ms	76×	body	4096	valid
203.0ms	4045×	body	128	valid
111.0ms	659×	body	512	valid
38.0ms	332×	body	256	valid
10.0ms	180×	body	128	invalid
4.0ms	9×	body	2048	invalid
1.0ms	2×	body	8192	exit

Compiler

Compiled 327 to 180 computations (45% 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

analyze1.0s (12.3%)

sample75.0ms (0.9%)

simplify24.0ms (0.3%)

prune8.0ms (0.1%)

localize10.0ms (0.1%)

rewrite121.0ms (1.4%)

series77.0ms (0.9%)

simplify106.0ms (1.2%)

prune29.0ms (0.3%)

localize10.0ms (0.1%)

rewrite577.0ms (6.8%)

series96.0ms (1.1%)

simplify413.0ms (4.9%)

prune201.0ms (2.4%)

localize9.0ms (0.1%)

rewrite160.0ms (1.9%)

series68.0ms (0.8%)

simplify155.0ms (1.8%)

prune50.0ms (0.6%)

localize13.0ms (0.2%)

rewrite162.0ms (1.9%)

series21.0ms (0.2%)

simplify99.0ms (1.2%)

prune74.0ms (0.9%)

regimes2.4s (27.7%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample2.5s (29.8%)

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