Details

analyze3.4s (5.2%)

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
0%	99.9%	0.1%	10
0%	99.5%	0.5%	11
0%	99.1%	0.9%	12
0.4%	97.3%	2.3%	13
0.7%	95.8%	3.5%	14

Compiler

Compiled 29 to 22 computations (24.1% saved)

sample526.0ms (0.8%)

Algorithm

1×

intervals

Results

178.0ms	39×	body	4096	invalid
108.0ms	134×	body	1024	valid
72.0ms	34×	body	2048	invalid
34.0ms	11×	body	4096	valid
32.0ms	49×	body	512	valid
32.0ms	24×	body	2048	valid
24.0ms	29×	body	1024	invalid
7.0ms	43×	body	128	invalid
6.0ms	13×	body	512	invalid
5.0ms	16×	body	256	invalid
5.0ms	14×	body	256	valid
4.0ms	24×	body	128	valid

Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify39.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

856×	`associate-*l/_binary64`
417×	`associate-/r/_binary64`
392×	`associate-/r*_binary64`
347×	`distribute-rgt-in_binary64`
323×	`distribute-lft-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	38
1	52	35
2	174	32
3	820	32
4	4966	32
5	4943	32

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

38.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	38.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))

Compiler

Compiled 72 to 51 computations (29.2% saved)

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
0.8b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
14.7b	(/.f64 (pow.f64 t 3) (*.f64 l l))
27.1b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite429.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

25.0b

Rules

405×	`add-exp-log_binary64`
237×	`prod-exp_binary64`
115×	`div-exp_binary64`
70×	`add-cbrt-cube_binary64`
56×	`pow-exp_binary64`

Counts

4 → 214

Calls

4 calls:

20.0ms	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
17.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
9.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
5.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 5229 to 2529 computations (51.6% saved)

series254.0ms (0.4%)

Error

19.7b

Counts

4 → 36

Calls

4 calls:

90.0ms	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
72.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
63.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
18.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 1873 to 1425 computations (23.9% saved)

simplify219.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

457×	`associate-l_binary64`
420×	`unswap-sqr_binary64`
337×	`associate-r_binary64`
291×	`log-prod_binary64`
258×	`associate-/r*_binary64`

Counts

250 → 227

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	7768
1	699	6738
2	3212	6710
3	4748	6710
4	5168	6710

prune143.0ms (0.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	219	8	227
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	220	8	228

Error

15.6b

Counts

228 → 8

Alt Table

Status	Error	Program
	38.7b	(/.f64 (/.f64 2 (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (*.f64 l l))) (tan.f64 k))) (pow.f64 (/.f64 k t) 2))
	48.2b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (/.f64 (pow.f64 t 3/2) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	44.6b	(/.f64 2 (.f64 (.f64 k (.f64 k (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (.f64 l l))) (tan.f64 k)))) (pow.f64 (/.f64 1 t) 2)))
	30.1b	(/.f64 2 (/.f64 (.f64 t (pow.f64 k 4)) (.f64 l l)))
	32.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l (/.f64 (.f64 t t) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	36.9b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 1 (/.f64 l (/.f64 (pow.f64 t 3) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	38.2b	(.f64 (/.f64 2 (.f64 (pow.f64 (/.f64 k t) 2) (.f64 (pow.f64 (sin.f64 k) 2) (pow.f64 t 3)))) (.f64 (*.f64 l l) (cos.f64 k)))
▶	20.4b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (*.f64 l l))))

Compiler

Compiled 2559 to 1374 computations (46.3% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (*.f64 l l))))
1.6b	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.7b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
18.8b	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (*.f64 l l)))

rewrite335.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

11.8b

Rules

320×	`add-exp-log_binary64`
183×	`prod-exp_binary64`
173×	`add-cbrt-cube_binary64`
87×	`cbrt-unprod_binary64`
82×	`div-exp_binary64`

Counts

4 → 192

Calls

4 calls:

13.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (*.f64 l l)))
11.0ms	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (*.f64 l l))))
7.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
5.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 5706 to 2173 computations (61.9% saved)

series185.0ms (0.3%)

Error

15.6b

Counts

4 → 34

Calls

4 calls:

74.0ms	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (*.f64 l l))))
60.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (*.f64 l l)))
22.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
18.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 1685 to 1221 computations (27.5% saved)

simplify201.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

581×	`times-frac_binary64`
340×	`fma-def_binary64`
321×	`associate-/r*_binary64`
284×	`associate-/l*_binary64`
282×	`associate-r_binary64`

Counts

226 → 194

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	297	8147
1	597	6116
2	3186	6099
3	4817	6088
4	5126	6088

prune188.0ms (0.3%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	181	13	194
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	185	17	202

Error

14.1b

Counts

202 → 17

Alt Table

Status	Error	Program
	32.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l (/.f64 (.f64 t t) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	20.6b	(.f64 (/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (.f64 (cbrt.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 l l) (cos.f64 k)))) (cbrt.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 l l) (cos.f64 k)))))) (/.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 l l) (cos.f64 k))))))
	20.4b	(.f64 2 (/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	20.5b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (pow.f64 (sin.f64 k) 2) (cbrt.f64 t)))) (.f64 (cos.f64 k) (*.f64 l l))))
	44.6b	(/.f64 2 (.f64 (.f64 k (.f64 k (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (.f64 l l))) (tan.f64 k)))) (pow.f64 (/.f64 1 t) 2)))
	19.8b	(.f64 (/.f64 (cos.f64 k) (.f64 k k)) (/.f64 2 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 l l))))
▶	19.8b	(/.f64 2 (/.f64 (.f64 k k) (/.f64 (cos.f64 k) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 l l)))))
	20.5b	(.f64 (/.f64 (sqrt.f64 2) (.f64 (cbrt.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 l l) (cos.f64 k)))) (cbrt.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 l l) (cos.f64 k)))))) (/.f64 (sqrt.f64 2) (cbrt.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))))
	27.4b	(.f64 (/.f64 (.f64 l l) (.f64 t (.f64 k k))) (-.f64 (/.f64 2 (*.f64 k k)) 1/3))
	20.6b	(.f64 (/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (.f64 (.f64 l l) (cos.f64 k)) (cbrt.f64 2)))
	36.9b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 1 (/.f64 l (/.f64 (pow.f64 t 3) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	48.2b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (/.f64 (pow.f64 t 3/2) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	20.5b	(/.f64 (/.f64 2 (.f64 (cbrt.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 l l) (cos.f64 k)))) (cbrt.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 l l) (cos.f64 k)))))) (cbrt.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (.f64 l l)))))
	20.4b	(/.f64 2 (/.f64 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 l l)))
	20.4b	(.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (.f64 (*.f64 l l) (cos.f64 k)) (sqrt.f64 2)))
	20.4b	(.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 l l) (cos.f64 k)))))
	20.5b	(/.f64 2 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 l l) (cos.f64 k)))) (cbrt.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 l l) (cos.f64 k))))) (cbrt.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))))

Compiler

Compiled 2801 to 1422 computations (49.2% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 2 (/.f64 (.f64 k k) (/.f64 (cos.f64 k) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 l l)))))
1.6b	(*.f64 t (pow.f64 (sin.f64 k) 2))
8.4b	(/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 l l))
15.2b	(/.f64 (.f64 k k) (/.f64 (cos.f64 k) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 l l))))

rewrite659.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

4.6b

Rules

284×	`times-frac_binary64`
255×	`add-exp-log_binary64`
144×	`add-cbrt-cube_binary64`
137×	`div-exp_binary64`
97×	`add-sqr-sqrt_binary64`

Counts

4 → 292

Calls

4 calls:

13.0ms	(/.f64 2 (/.f64 (.f64 k k) (/.f64 (cos.f64 k) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 l l)))))
10.0ms	(/.f64 (.f64 k k) (/.f64 (cos.f64 k) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 l l))))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.0ms	(/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 l l))

Compiler

Compiled 9235 to 4195 computations (54.6% saved)

series190.0ms (0.3%)

Error

14.1b

Counts

4 → 37

Calls

4 calls:

68.0ms	(/.f64 2 (/.f64 (.f64 k k) (/.f64 (cos.f64 k) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 l l)))))
57.0ms	(/.f64 (.f64 k k) (/.f64 (cos.f64 k) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 l l))))
34.0ms	(/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 l l))
16.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 1853 to 1349 computations (27.2% saved)

simplify254.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

526×	`associate-/r/_binary64`
366×	`associate-/r*_binary64`
342×	`associate-*l/_binary64`
332×	`associate-/l/_binary64`
324×	`times-frac_binary64`

Counts

329 → 259

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	518	12477
1	1108	10694
2	4504	10694
3	5024	10694

prune272.0ms (0.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	247	12	259
Fresh	13	3	16
Picked	1	0	1
Done	0	0	0
Total	261	15	276

Error

5.4b

Counts

276 → 15

Alt Table

Status	Error	Program
	7.1b	(.f64 (/.f64 (sqrt.f64 2) (.f64 k (/.f64 t l))) (/.f64 (sqrt.f64 2) (/.f64 k (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) l)))))
	7.3b	(/.f64 2 (.f64 (.f64 k (/.f64 t l)) (/.f64 k (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) l)))))
	36.9b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 1 (/.f64 l (/.f64 (pow.f64 t 3) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	29.8b	(/.f64 2 (.f64 (/.f64 k (sqrt.f64 (cos.f64 k))) (.f64 (/.f64 k (/.f64 (sqrt.f64 (cos.f64 k)) (/.f64 t l))) (/.f64 (pow.f64 (sin.f64 k) 2) l))))
	17.8b	(/.f64 2 (/.f64 (*.f64 k k) (/.f64 (cos.f64 k) (/.f64 t (/.f64 l (/.f64 (pow.f64 (sin.f64 k) 2) l))))))
	10.7b	(/.f64 2 (/.f64 (.f64 k (.f64 k (/.f64 t l))) (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) l))))
	20.4b	(.f64 2 (/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	16.9b	(.f64 (/.f64 (sqrt.f64 2) (.f64 (/.f64 k (.f64 (cbrt.f64 (cos.f64 k)) (cbrt.f64 (cos.f64 k)))) (.f64 t (pow.f64 (sin.f64 k) 2)))) (/.f64 (sqrt.f64 2) (/.f64 k (.f64 (cbrt.f64 (cos.f64 k)) (.f64 l l)))))
	17.8b	(/.f64 (/.f64 2 k) (/.f64 k (/.f64 (cos.f64 k) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 l l)))))
	7.0b	(.f64 (/.f64 1 (.f64 k (/.f64 t l))) (/.f64 2 (/.f64 k (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) l)))))
	17.4b	(.f64 (/.f64 1 (.f64 k (.f64 (cbrt.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 l l))) (cbrt.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 l l)))))) (/.f64 2 (/.f64 k (/.f64 (cos.f64 k) (cbrt.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 l l)))))))
	20.6b	(.f64 (/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (.f64 (.f64 l l) (cos.f64 k)) (cbrt.f64 2)))
	16.8b	(/.f64 2 (.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (/.f64 k (.f64 (*.f64 l l) (cos.f64 k)))))
▶	7.0b	(/.f64 (/.f64 2 (*.f64 k (/.f64 t l))) (/.f64 k (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) l))))
	11.4b	(/.f64 2 (/.f64 (.f64 (/.f64 k (/.f64 (.f64 (cbrt.f64 (cos.f64 k)) (cbrt.f64 (cos.f64 k))) (/.f64 t l))) k) (/.f64 (cbrt.f64 (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) 2) l))))

Compiler

Compiled 4692 to 2312 computations (50.7% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 2 (*.f64 k (/.f64 t l)))
1.6b	(/.f64 (pow.f64 (sin.f64 k) 2) l)
1.9b	(/.f64 (/.f64 2 (*.f64 k (/.f64 t l))) (/.f64 k (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) l))))
6.0b	(*.f64 k (/.f64 t l))

rewrite6.7s (10.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9647×	`times-frac_binary64`
3390×	`add-sqr-sqrt_binary64`
3385×	`*-un-lft-identity_binary64`
3385×	`add-cube-cbrt_binary64`
741×	`unpow-prod-down_binary64`

Counts

4 → 2621

Calls

4 calls:

76.0ms	(/.f64 (/.f64 2 (*.f64 k (/.f64 t l))) (/.f64 k (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) l))))
7.0ms	(*.f64 k (/.f64 t l))
7.0ms	(/.f64 2 (*.f64 k (/.f64 t l)))
4.0ms	(/.f64 (pow.f64 (sin.f64 k) 2) l)

Compiler

Compiled 111792 to 49349 computations (55.9% saved)

series141.0ms (0.2%)

Error

2.0b

Counts

4 → 35

Calls

4 calls:

69.0ms	(/.f64 (/.f64 2 (*.f64 k (/.f64 t l))) (/.f64 k (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) l))))
23.0ms	(/.f64 2 (*.f64 k (/.f64 t l)))
20.0ms	(*.f64 k (/.f64 t l))
18.0ms	(/.f64 (pow.f64 (sin.f64 k) 2) l)

Compiler

Compiled 1682 to 1172 computations (30.3% saved)

simplify2.0s (3%)

Algorithm

1×	egg-herbie

Rules

2336×	`associate-/l/_binary64`
100×	`remove-double-div_binary64`
35×	`sub-neg_binary64`
20×	`/-rgt-identity_binary64`
11×	`times-frac_binary64`

Counts

2656 → 1516

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4827	157490
1	7436	157490

prune2.3s (3.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	1501	15	1516
Fresh	14	0	14
Picked	1	0	1
Done	0	0	0
Total	1516	15	1531

Error

0.0b

Counts

1531 → 15

Alt Table

Status	Error	Program
	26.2b	(.f64 (/.f64 (/.f64 2 (.f64 k t)) (/.f64 1 (/.f64 (sqrt.f64 (cos.f64 k)) (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 k)) 2) 2) (*.f64 (cbrt.f64 l) (cbrt.f64 l)))))) (/.f64 l (/.f64 k (/.f64 (sqrt.f64 (cos.f64 k)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 k)) 2) (cbrt.f64 l))))))
	5.1b	(/.f64 (/.f64 2 (.f64 (.f64 k (*.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (cbrt.f64 t) l))) (/.f64 k (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) l))))
	8.8b	(.f64 (/.f64 2 (.f64 k t)) (/.f64 l (/.f64 k (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) l)))))
	7.2b	(.f64 (.f64 (cbrt.f64 (cos.f64 k)) (cbrt.f64 (cos.f64 k))) (/.f64 (/.f64 2 (*.f64 k (/.f64 t l))) (/.f64 k (/.f64 (cbrt.f64 (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) 2) l)))))
	33.1b	(.f64 (/.f64 (/.f64 1 k) (/.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 k) 2)) (cbrt.f64 (pow.f64 (sin.f64 k) 2))) (sqrt.f64 l))) (/.f64 (/.f64 2 (/.f64 t l)) (/.f64 k (/.f64 (cos.f64 k) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 k) 2)) (sqrt.f64 l))))))
	7.1b	(/.f64 (/.f64 (/.f64 2 (.f64 k (/.f64 t l))) (/.f64 1 (/.f64 (.f64 (cbrt.f64 (cos.f64 k)) (cbrt.f64 (cos.f64 k))) (sin.f64 k)))) (/.f64 k (/.f64 (cbrt.f64 (cos.f64 k)) (/.f64 (sin.f64 k) l))))
	43.4b	(.f64 (/.f64 (/.f64 2 (.f64 k t)) (/.f64 (sqrt.f64 k) (/.f64 1 (sin.f64 k)))) (/.f64 l (/.f64 (sqrt.f64 k) (/.f64 (cos.f64 k) (/.f64 (sin.f64 k) l)))))
	15.4b	(.f64 (/.f64 (/.f64 2 (.f64 k t)) (/.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)) (/.f64 1 (sin.f64 k)))) (/.f64 l (/.f64 (cbrt.f64 k) (/.f64 (cos.f64 k) (/.f64 (sin.f64 k) l)))))
	7.5b	(.f64 (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)) (/.f64 (/.f64 2 (.f64 k (/.f64 t l))) (/.f64 k l)))
	7.6b	(.f64 (/.f64 (/.f64 2 (.f64 k t)) (/.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 l (/.f64 (cbrt.f64 k) (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) (cbrt.f64 l))))))
	7.9b	(.f64 (/.f64 (/.f64 2 (.f64 k t)) (sin.f64 k)) (/.f64 l (/.f64 k (/.f64 (cos.f64 k) (/.f64 (sin.f64 k) l)))))
	4.0b	(.f64 (/.f64 (/.f64 2 (.f64 k t)) (/.f64 (sin.f64 k) (*.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 l (/.f64 k (/.f64 (cos.f64 k) (/.f64 (sin.f64 k) (cbrt.f64 l))))))
	9.7b	(.f64 (/.f64 (/.f64 2 (.f64 k t)) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 k)) 2) 2)) (/.f64 l (/.f64 k (/.f64 (cos.f64 k) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 k)) 2) l)))))
	32.4b	(.f64 (/.f64 (/.f64 2 (.f64 k t)) (sqrt.f64 (/.f64 (pow.f64 (sin.f64 k) 2) l))) (/.f64 l (/.f64 k (/.f64 (cos.f64 k) (sqrt.f64 (/.f64 (pow.f64 (sin.f64 k) 2) l))))))
	7.4b	(.f64 (/.f64 1 (pow.f64 (sin.f64 k) 2)) (/.f64 (/.f64 2 (.f64 k (/.f64 t l))) (/.f64 k (/.f64 (cos.f64 k) (/.f64 1 l)))))

Compiler

Compiled 45972 to 18407 computations (60% saved)

regimes31.0s (47%)

Accuracy

Total 3.9b remaining (96.4%)

Threshold costs 0b (0%)

Compiler

Compiled 455177 to 285261 computations (37.3% saved)

bsearch718.0ms (1.1%)

Steps

Iters	Range	Point
6	8.310576157753561e+254	5.133539736519804e+255	5.057396345476647e+255
8	4.949650453262871e-121	1.5997108570872388e-116	2.1536861594204514e-118
5	-1.2631197751696152e+59	-5.495830722783158e+58	-7.412556353546589e+58

Iters

Range

Point

8.310576157753561e+254

5.133539736519804e+255

5.057396345476647e+255

4.949650453262871e-121

1.5997108570872388e-116

2.1536861594204514e-118

-1.2631197751696152e+59

-5.495830722783158e+58

-7.412556353546589e+58

Compiler

Compiled 4 to 3 computations (25% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	207
1	67	207
2	66	207

end5.0ms (0%)

Compiler: Compiled 134 to 71 computations (47% saved)

sample15.8s (23.9%)

Algorithm

1×

intervals

Results

4.6s	1231×	body	4096	invalid
3.1s	3965×	body	1024	valid
2.6s	1102×	body	2048	invalid
1.3s	455×	body	4096	valid
1.2s	996×	body	2048	valid
705.0ms	1340×	body	512	valid
508.0ms	725×	body	1024	invalid
253.0ms	520×	body	512	invalid
194.0ms	1077×	body	128	invalid
159.0ms	449×	body	256	valid
143.0ms	795×	body	128	valid
104.0ms	313×	body	256	invalid

Compiler

Compiled 628 to 387 computations (38.4% saved)

Details

analyze3.4s (5.2%)

sample526.0ms (0.8%)

simplify39.0ms (0.1%)

prune4.0ms (0%)

localize18.0ms (0%)

rewrite429.0ms (0.7%)

series254.0ms (0.4%)

simplify219.0ms (0.3%)

prune143.0ms (0.2%)

localize14.0ms (0%)

rewrite335.0ms (0.5%)

series185.0ms (0.3%)

simplify201.0ms (0.3%)

prune188.0ms (0.3%)

localize14.0ms (0%)

rewrite659.0ms (1%)

series190.0ms (0.3%)

simplify254.0ms (0.4%)

prune272.0ms (0.4%)

localize14.0ms (0%)

rewrite6.7s (10.1%)

series141.0ms (0.2%)

simplify2.0s (3%)

prune2.3s (3.4%)

regimes31.0s (47%)

bsearch718.0ms (1.1%)

simplify6.0ms (0%)

end5.0ms (0%)

sample15.8s (23.9%)

Profiling