Details

analyze3.4s (13.1%)

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)

sample16.8s (64.7%)

Results

4.5s	1243×	body	4096	invalid
4.0s	3997×	body	1024	valid
2.7s	1102×	body	2048	invalid
1.5s	998×	body	2048	valid
1.2s	479×	body	4096	valid
976.0ms	1422×	body	512	valid
608.0ms	668×	body	1024	invalid
305.0ms	485×	body	512	invalid
284.0ms	1102×	body	128	invalid
248.0ms	503×	body	256	valid
211.0ms	857×	body	128	valid
130.0ms	276×	body	256	invalid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify34.0ms (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 → 2

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	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

43.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	43.3b	(/.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 97 to 65 computations (33% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	0.6b	(/.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)))
✓	19.0b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	30.3b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

series651.0ms (2.5%)

Counts

4 → 132

Calls

4 calls:

293.0ms	(/.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)))
160.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
144.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
54.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite87.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

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:

19.0ms	(/.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))
11.0ms	(.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))

simplify180.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

507×	`unswap-sqr_binary64`
468×	`associate-l_binary64`
358×	`associate-r_binary64`
255×	`associate-/r*_binary64`
197×	`times-frac_binary64`

Counts

346 → 272

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	9879
1	777	8849
2	3532	8817
3	4982	8817

prune434.0ms (1.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	255	17	272
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	256	17	273

Error

18.1b

Counts

273 → 17

Alt Table

Status	Error	Program
	50.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) (/.f64 l (/.f64 (.f64 t (sqrt.f64 t)) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	60.6b	(/.f64 2 (exp.f64 (+.f64 (+.f64 (+.f64 (-.f64 (.f64 (log.f64 t) 3) (log.f64 (.f64 l l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (*.f64 (log.f64 (/.f64 k t)) 2))))
	43.6b	(/.f64 (sqrt.f64 2) (/.f64 (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (*.f64 l l))) (tan.f64 k)) (/.f64 (sqrt.f64 2) (pow.f64 (/.f64 k t) 2))))
	42.5b	(-.f64 (.f64 2 (/.f64 (.f64 l l) (.f64 t (pow.f64 k 4)))) (fma.f64 1/3 (/.f64 (.f64 l l) (.f64 (.f64 k k) t)) (.f64 7/60 (/.f64 (.f64 l l) t))))
	43.0b	(.f64 (/.f64 2 (.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))) (*.f64 l l))
	50.9b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (/.f64 (pow.f64 (sqrt.f64 t) 3) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	61.7b	(exp.f64 (-.f64 (log.f64 2) (+.f64 (+.f64 (+.f64 (-.f64 (.f64 (log.f64 t) 3) (+.f64 (log.f64 l) (log.f64 l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (.f64 (log.f64 (/.f64 k t)) 2))))
	41.1b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (/.f64 k t)) (/.f64 k t)))
	36.5b	(/.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)))
	24.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	41.9b	(/.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)))
	50.8b	(/.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)))
	36.3b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	43.3b	(/.f64 2 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (.f64 (sin.f64 k) (tan.f64 k))) (pow.f64 (/.f64 k t) 2)))
	51.1b	(/.f64 2 (.f64 (.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 t) 3) (log.f64 (*.f64 l l)))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
▶	24.3b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	60.5b	(exp.f64 (-.f64 (log.f64 2) (+.f64 (+.f64 (+.f64 (-.f64 (.f64 (log.f64 t) 3) (log.f64 (.f64 l l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (*.f64 (log.f64 (/.f64 k t)) 2))))

Compiler

Compiled 9001 to 4693 computations (47.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 k) 2)
✓	1.3b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	6.7b	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	21.6b	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))

series263.0ms (1%)

Counts

4 → 16

Calls

4 calls:

212.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))
30.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
17.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

rewrite43.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

222×	`add-exp-log_binary64`
147×	`prod-exp_binary64`
52×	`div-exp_binary64`
50×	`pow-exp_binary64`
50×	`pow-to-exp_binary64`

Counts

4 → 155

Calls

4 calls:

11.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))
7.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
2.0ms	(pow.f64 (sin.f64 k) 2)

simplify99.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

585×	`associate-*l/_binary64`
386×	`associate-/l/_binary64`
375×	`fma-def_binary64`
286×	`times-frac_binary64`
260×	`cancel-sign-sub-inv_binary64`

Counts

171 → 188

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	221	4005
1	522	3403
2	2208	3367
3	5252	3367

prune375.0ms (1.4%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	178	10	188
Fresh	6	10	16
Picked	1	0	1
Done	0	0	0
Total	185	20	205

Error

13.8b

Counts

205 → 20

Alt Table

Status	Error	Program
▶	22.2b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	50.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) (/.f64 l (/.f64 (.f64 t (sqrt.f64 t)) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	59.9b	(.f64 2 (exp.f64 (-.f64 (log.f64 (.f64 (cos.f64 k) (pow.f64 l 2))) (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))))))
	50.8b	(/.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)))
	24.5b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))) (cbrt.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))))) (cbrt.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	50.9b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (/.f64 (pow.f64 (sqrt.f64 t) 3) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	24.0b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) (.f64 k k)) (.f64 l l)) (*.f64 t (pow.f64 (sin.f64 k) 2))))
	43.3b	(/.f64 2 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (.f64 (sin.f64 k) (tan.f64 k))) (pow.f64 (/.f64 k t) 2)))
	24.9b	(.f64 2 (.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) (/.f64 (pow.f64 l 2) (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	60.5b	(exp.f64 (-.f64 (log.f64 2) (+.f64 (+.f64 (+.f64 (-.f64 (.f64 (log.f64 t) 3) (log.f64 (.f64 l l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (*.f64 (log.f64 (/.f64 k t)) 2))))
	61.7b	(exp.f64 (-.f64 (log.f64 2) (+.f64 (+.f64 (+.f64 (-.f64 (.f64 (log.f64 t) 3) (+.f64 (log.f64 l) (log.f64 l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (.f64 (log.f64 (/.f64 k t)) 2))))
	41.1b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (/.f64 k t)) (/.f64 k t)))
	24.4b	(.f64 2 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))))) (cbrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))) (cbrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	60.4b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (.f64 (log.f64 k) 2) (log.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	41.9b	(/.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)))
	59.7b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (log.f64 (pow.f64 k 2)) (log.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)))))))
	36.3b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	24.7b	(.f64 2 (/.f64 (cos.f64 k) (/.f64 (.f64 k k) (/.f64 (.f64 l l) (.f64 t (pow.f64 (sin.f64 k) 2))))))
	24.5b	(.f64 2 (/.f64 (cos.f64 k) (/.f64 (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))))
	36.5b	(/.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)))

Compiler

Compiled 6073 to 3874 computations (36.2% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))
	0.4b	(pow.f64 (sin.f64 k) 2)
	1.3b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	21.6b	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))

series236.0ms (0.9%)

Counts

2 → 40

Calls

2 calls:

211.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
24.0ms	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))

rewrite25.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

116×	`add-exp-log_binary64`
73×	`prod-exp_binary64`
39×	`add-cbrt-cube_binary64`
24×	`div-exp_binary64`
19×	`cbrt-unprod_binary64`

Counts

2 → 68

Calls

2 calls:

10.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
5.0ms	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))

simplify72.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

781×	`associate-*l/_binary64`
546×	`associate-/l/_binary64`
374×	`times-frac_binary64`
220×	`associate-/r/_binary64`
206×	`associate-r_binary64`

Counts

108 → 90

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	3197
1	433	2661
2	2007	2635
3	5262	2635

prune373.0ms (1.4%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	158	8	166
Fresh	6	13	19
Picked	1	0	1
Done	0	0	0
Total	165	21	186

Error

12.6b

Counts

186 → 21

Alt Table

Status	Error	Program
▶	19.7b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (/.f64 (pow.f64 l 2) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))))
	50.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) (/.f64 l (/.f64 (.f64 t (sqrt.f64 t)) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	59.9b	(.f64 2 (exp.f64 (-.f64 (log.f64 (.f64 (cos.f64 k) (pow.f64 l 2))) (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))))))
	50.8b	(/.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)))
	22.2b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 (*.f64 k t) (pow.f64 (sin.f64 k) 2)))))
	59.7b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (log.f64 (pow.f64 k 2)) (log.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)))))))
	22.4b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 (.f64 (cbrt.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (cbrt.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))) (cbrt.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))))
	24.0b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) (.f64 k k)) (.f64 l l)) (*.f64 t (pow.f64 (sin.f64 k) 2))))
	22.6b	(.f64 2 (/.f64 (cos.f64 k) (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (pow.f64 l 2))))
	61.7b	(exp.f64 (-.f64 (log.f64 2) (+.f64 (+.f64 (+.f64 (-.f64 (.f64 (log.f64 t) 3) (+.f64 (log.f64 l) (log.f64 l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (.f64 (log.f64 (/.f64 k t)) 2))))
	41.1b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (/.f64 k t)) (/.f64 k t)))
	22.3b	(.f64 2 (.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (/.f64 1 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	60.4b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (.f64 (log.f64 k) 2) (log.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	41.9b	(/.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)))
	50.9b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (/.f64 (pow.f64 (sqrt.f64 t) 3) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	36.3b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	22.3b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) (.f64 (cbrt.f64 k) (*.f64 t (pow.f64 (sin.f64 k) 2)))))))
	20.4b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) k) (.f64 l l)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	20.4b	(.f64 2 (/.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) k) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
	60.5b	(exp.f64 (-.f64 (log.f64 2) (+.f64 (+.f64 (+.f64 (-.f64 (.f64 (log.f64 t) 3) (log.f64 (.f64 l l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (*.f64 (log.f64 (/.f64 k t)) 2))))
	36.5b	(/.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)))

Compiler

Compiled 5551 to 3342 computations (39.8% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 k) 2)
	1.3b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	4.3b	(.f64 (/.f64 (cos.f64 k) k) (/.f64 (pow.f64 l 2) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
✓	16.8b	(/.f64 (pow.f64 l 2) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))

series366.0ms (1.4%)

Counts

2 → 40

Calls

2 calls:

213.0ms	(.f64 (/.f64 (cos.f64 k) k) (/.f64 (pow.f64 l 2) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
153.0ms	(/.f64 (pow.f64 l 2) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))

rewrite43.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

181×	`add-exp-log_binary64`
95×	`prod-exp_binary64`
61×	`div-exp_binary64`
43×	`add-cbrt-cube_binary64`
26×	`times-frac_binary64`

Counts

2 → 128

Calls

2 calls:

16.0ms	(.f64 (/.f64 (cos.f64 k) k) (/.f64 (pow.f64 l 2) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
7.0ms	(/.f64 (pow.f64 l 2) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))

simplify126.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

585×	`associate-/l/_binary64`
513×	`fma-def_binary64`
302×	`associate-/r/_binary64`
211×	`times-frac_binary64`
186×	`associate-l_binary64`

Counts

168 → 178

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	4936
1	567	4216
2	2175	4200
3	4453	4200
4	4990	4200

prune495.0ms (1.9%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	242	12	254
Fresh	12	8	20
Picked	1	0	1
Done	0	0	0
Total	255	20	275

Error

4.6b

Counts

275 → 20

Alt Table

Status	Error	Program
	14.6b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (/.f64 1 (/.f64 k (.f64 (/.f64 l (.f64 t (pow.f64 (sin.f64 k) 2))) l)))))
	12.4b	(.f64 2 (.f64 (.f64 (/.f64 (cos.f64 k) k) (/.f64 l k)) (/.f64 l (.f64 t (pow.f64 (sin.f64 k) 2)))))
	22.2b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 (*.f64 k t) (pow.f64 (sin.f64 k) 2)))))
	19.6b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (/.f64 (pow.f64 l 2) (.f64 k (.f64 (*.f64 t (sin.f64 k)) (sin.f64 k))))))
	8.9b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (/.f64 l (/.f64 k (/.f64 l (*.f64 t (pow.f64 (sin.f64 k) 2)))))))
	36.3b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	13.2b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (.f64 (/.f64 (.f64 l (cbrt.f64 l)) k) (/.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	13.9b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (/.f64 (.f64 (/.f64 l k) l) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	14.6b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (.f64 (/.f64 1 k) (.f64 (/.f64 l (*.f64 t (pow.f64 (sin.f64 k) 2))) l))))
	16.7b	(.f64 2 (.f64 (.f64 (/.f64 (cos.f64 k) k) (/.f64 (pow.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l)) 2) k)) (/.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	24.0b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) (.f64 k k)) (.f64 l l)) (*.f64 t (pow.f64 (sin.f64 k) 2))))
	22.6b	(.f64 2 (/.f64 (cos.f64 k) (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (pow.f64 l 2))))
	58.0b	(.f64 2 (exp.f64 (+.f64 (log.f64 (/.f64 (cos.f64 k) k)) (-.f64 (.f64 (log.f64 l) 2) (log.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))))))
	61.7b	(exp.f64 (-.f64 (log.f64 2) (+.f64 (+.f64 (+.f64 (-.f64 (.f64 (log.f64 t) 3) (+.f64 (log.f64 l) (log.f64 l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (.f64 (log.f64 (/.f64 k t)) 2))))
	41.1b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (/.f64 k t)) (/.f64 k t)))
	60.7b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (exp.f64 (-.f64 (.f64 (log.f64 l) 2) (+.f64 (log.f64 k) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2)))))))
	32.6b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (/.f64 (pow.f64 l 2) (*.f64 (pow.f64 k 3) t))))
	50.9b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (/.f64 (pow.f64 (sqrt.f64 t) 3) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	19.7b	(.f64 2 (.f64 (cos.f64 k) (.f64 (/.f64 1 k) (/.f64 (pow.f64 l 2) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))))
	60.5b	(exp.f64 (-.f64 (log.f64 2) (+.f64 (+.f64 (+.f64 (-.f64 (.f64 (log.f64 t) 3) (log.f64 (.f64 l l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (*.f64 (log.f64 (/.f64 k t)) 2))))

Compiler

Compiled 7388 to 3929 computations (46.8% saved)

regimes1.5s (5.7%)

Accuracy

Total 4.5b remaining (52.8%)

Threshold costs 0b (0%)

Counts

197 → 3

Compiler

Compiled 34519 to 24491 computations (29.1% saved)

bsearch9.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
1×	`if-if-or-not_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	78
1	36	78
2	36	78

end314.0ms (1.2%)

Compiler: Compiled 611 to 422 computations (30.9% saved)

Details

analyze3.4s (13.1%)

sample16.8s (64.7%)

simplify34.0ms (0.1%)

prune4.0ms (0%)

localize16.0ms (0.1%)

series651.0ms (2.5%)

rewrite87.0ms (0.3%)

simplify180.0ms (0.7%)

prune434.0ms (1.7%)

localize14.0ms (0.1%)

series263.0ms (1%)

rewrite43.0ms (0.2%)

simplify99.0ms (0.4%)

prune375.0ms (1.4%)

localize15.0ms (0.1%)

series236.0ms (0.9%)

rewrite25.0ms (0.1%)

simplify72.0ms (0.3%)

prune373.0ms (1.4%)

localize15.0ms (0.1%)

series366.0ms (1.4%)

rewrite43.0ms (0.2%)

simplify126.0ms (0.5%)

prune495.0ms (1.9%)

regimes1.5s (5.7%)

bsearch9.0ms (0%)

simplify3.0ms (0%)

end314.0ms (1.2%)

Profiling