Details

analyze3.3s (13.8%)

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)

sample507.0ms (2.1%)

Algorithm

1×

intervals

Results

120.0ms	43×	body	4096	invalid
101.0ms	43×	body	2048	invalid
90.0ms	124×	body	1024	valid
37.0ms	27×	body	2048	valid
23.0ms	48×	body	512	valid
20.0ms	30×	body	1024	invalid
19.0ms	12×	body	4096	valid
12.0ms	23×	body	512	invalid
6.0ms	19×	body	256	valid
5.0ms	26×	body	128	valid
4.0ms	24×	body	128	invalid
2.0ms	8×	body	256	invalid

Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify35.0ms (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

38.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	38.2b	(/.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)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(/.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)))
✓	1.0b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	14.1b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	27.3b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

series610.0ms (2.5%)

Counts

4 → 132

Calls

4 calls:

315.0ms	(/.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)))
131.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
123.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
41.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite84.0ms (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:

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))
14.0ms	(/.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)))
10.0ms	(.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))

simplify231.0ms (1%)

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

prune396.0ms (1.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	257	15	272
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	258	15	273

Error

15.3b

Counts

273 → 15

Alt Table

Status	Error	Program
	38.1b	(.f64 (/.f64 1 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))) (/.f64 2 (pow.f64 (/.f64 k t) 2)))
	50.9b	(/.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)))
	29.5b	(/.f64 2 (/.f64 (*.f64 (pow.f64 k 4) t) (pow.f64 l 2)))
	35.3b	(/.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)))
	37.8b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)) (.f64 l l)))
	49.5b	(/.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 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	20.8b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	44.3b	(/.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)))
	53.1b	(/.f64 2 (.f64 (.f64 k (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (*.f64 l l))) (tan.f64 k))) (pow.f64 (/.f64 (sqrt.f64 k) t) 2)))
	62.1b	(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 (-.f64 (log.f64 k) (log.f64 t)) 2))))
	61.3b	(/.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 (-.f64 (log.f64 k) (log.f64 t)) 2))))
	38.2b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (tan.f64 k)) (.f64 l l)) (pow.f64 (/.f64 k t) 2)))
	33.3b	(/.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)))
	33.3b	(/.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)))

Compiler

Compiled 8839 to 4583 computations (48.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 k) 2)
✓	0.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	5.5b	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	18.2b	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))

series290.0ms (1.2%)

Counts

4 → 16

Calls

4 calls:

238.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))
32.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
17.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
4.0ms	(pow.f64 (sin.f64 k) 2)

rewrite44.0ms (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:

12.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))
6.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
6.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
2.0ms	(pow.f64 (sin.f64 k) 2)

simplify96.0ms (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

prune449.0ms (1.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	177	11	188
Fresh	7	7	14
Picked	1	0	1
Done	0	0	0
Total	185	18	203

Error

12.5b

Counts

203 → 18

Alt Table

Status	Error	Program
	37.8b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)) (.f64 l l)))
▶	18.8b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	61.3b	(/.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 (-.f64 (log.f64 k) (log.f64 t)) 2))))
	28.8b	(.f64 2 (.f64 (sqrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))))) (sqrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	38.2b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (tan.f64 k)) (.f64 l l)) (pow.f64 (/.f64 k t) 2)))
	56.9b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (log.f64 (pow.f64 k 2)) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))))))
	33.3b	(/.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)))
	60.2b	(.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)))))))
	19.7b	(.f64 2 (/.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (pow.f64 k 2)) (*.f64 t (pow.f64 (sin.f64 k) 2))))
	34.7b	(.f64 2 (cbrt.f64 (/.f64 (.f64 (.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (cos.f64 k) (pow.f64 l 2))) (.f64 (cos.f64 k) (pow.f64 l 2))) (.f64 (.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	20.7b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (exp.f64 (log.f64 (pow.f64 (sin.f64 k) 2)))))))
	44.3b	(/.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)))
	20.5b	(.f64 2 (.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (/.f64 1 (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	20.6b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 (.f64 (cbrt.f64 (.f64 t (pow.f64 (sin.f64 k) 2))) (cbrt.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))) (cbrt.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	20.6b	(.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)))))))
	49.5b	(/.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)))
	33.3b	(/.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)))
	19.4b	(.f64 2 (.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) (/.f64 (pow.f64 l 2) (*.f64 t (pow.f64 (sin.f64 k) 2)))))

Compiler

Compiled 6003 to 3832 computations (36.2% saved)

localize13.0ms (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)
	0.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	18.2b	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))

series240.0ms (1%)

Counts

2 → 40

Calls

2 calls:

215.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
25.0ms	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))

rewrite26.0ms (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:

9.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
7.0ms	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))

simplify76.0ms (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

prune364.0ms (1.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	158	8	166
Fresh	6	11	17
Picked	1	0	1
Done	0	0	0
Total	165	19	184

Error

11.5b

Counts

184 → 19

Alt Table

Status	Error	Program
	20.7b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (exp.f64 (log.f64 (pow.f64 (sin.f64 k) 2)))))))
	60.5b	(.f64 2 (exp.f64 (-.f64 (log.f64 (.f64 (cos.f64 k) (pow.f64 l 2))) (+.f64 (log.f64 k) (+.f64 (log.f64 k) (+.f64 (log.f64 t) (*.f64 (log.f64 (sin.f64 k)) 2)))))))
	18.8b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 (*.f64 k t) (pow.f64 (sin.f64 k) 2)))))
	37.8b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)) (.f64 l l)))
	44.3b	(/.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)))
	57.5b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (log.f64 (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))))
	38.2b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (tan.f64 k)) (.f64 l l)) (pow.f64 (/.f64 k t) 2)))
	56.9b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (log.f64 (pow.f64 k 2)) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))))))
	19.1b	(.f64 2 (/.f64 (cos.f64 k) (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (pow.f64 l 2))))
	20.6b	(.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)))))))
	33.3b	(/.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)))
	19.1b	(.f64 2 (/.f64 1 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (*.f64 (cos.f64 k) (pow.f64 l 2)))))
	49.5b	(/.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)))
	16.4b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (/.f64 (pow.f64 l 2) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))))
	20.6b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 (.f64 (cbrt.f64 (.f64 t (pow.f64 (sin.f64 k) 2))) (cbrt.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))) (cbrt.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))))))
▶	15.9b	(.f64 2 (/.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) k) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
	33.3b	(/.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)))
	19.0b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 (.f64 t (*.f64 (cbrt.f64 (pow.f64 (sin.f64 k) 2)) (cbrt.f64 (pow.f64 (sin.f64 k) 2)))) (cbrt.f64 (pow.f64 (sin.f64 k) 2)))))))
	19.7b	(.f64 2 (/.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (pow.f64 k 2)) (*.f64 t (pow.f64 (sin.f64 k) 2))))

Compiler

Compiled 5457 to 3288 computations (39.7% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 k) 2)
	0.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	6.6b	(/.f64 (*.f64 (cos.f64 k) (pow.f64 l 2)) k)
✓	10.7b	(/.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) k) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))

series226.0ms (0.9%)

Counts

2 → 40

Calls

2 calls:

206.0ms	(/.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) k) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))
19.0ms	(/.f64 (*.f64 (cos.f64 k) (pow.f64 l 2)) k)

rewrite25.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

122×	`add-exp-log_binary64`
53×	`prod-exp_binary64`
49×	`div-exp_binary64`
43×	`add-cbrt-cube_binary64`
17×	`cbrt-undiv_binary64`

Counts

2 → 87

Calls

2 calls:

10.0ms	(/.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) k) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))
4.0ms	(/.f64 (*.f64 (cos.f64 k) (pow.f64 l 2)) k)

simplify124.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

620×	`fma-def_binary64`
571×	`associate-/r/_binary64`
517×	`*-commutative_binary64`
351×	`fma-neg_binary64`
198×	`times-frac_binary64`

Counts

127 → 133

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	185	3795
1	475	3178
2	1946	3150
3	4162	3146
4	4942	3146
5	4986	3146

prune469.0ms (2%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	200	9	209
Fresh	8	10	18
Picked	1	0	1
Done	0	0	0
Total	209	19	228

Error

11.2b

Counts

228 → 19

Alt Table

Status	Error	Program
	16.4b	(.f64 2 (.f64 (/.f64 1 k) (.f64 (/.f64 (.f64 l l) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (cos.f64 k))))
	44.3b	(/.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)))
	56.4b	(.f64 2 (/.f64 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (log.f64 k))) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
	27.5b	(.f64 2 (.f64 (/.f64 (sqrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) k)) k) (/.f64 (sqrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) k)) (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	56.9b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (log.f64 (pow.f64 k 2)) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))))))
	19.1b	(.f64 2 (/.f64 (cos.f64 k) (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (pow.f64 l 2))))
	20.6b	(.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)))))))
	33.3b	(/.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)))
	16.1b	(.f64 2 (/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) k)) (cbrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) k))) (/.f64 k (/.f64 (cbrt.f64 (.f64 (/.f64 (.f64 l l) k) (cos.f64 k))) (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	61.3b	(.f64 2 (exp.f64 (-.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (log.f64 (pow.f64 l 2))) (log.f64 k)) (+.f64 (log.f64 k) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))))))
	15.9b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (/.f64 (.f64 l l) k)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	60.2b	(.f64 2 (exp.f64 (-.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (log.f64 k)) (log.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	20.7b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (exp.f64 (log.f64 (pow.f64 (sin.f64 k) 2)))))))
	37.8b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)) (.f64 l l)))
	15.7b	(.f64 2 (/.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) k) (.f64 k (.f64 (*.f64 t (sin.f64 k)) (sin.f64 k)))))
	18.4b	(.f64 2 (.f64 (/.f64 (/.f64 (cos.f64 k) (.f64 (cbrt.f64 k) (cbrt.f64 k))) k) (/.f64 (/.f64 (pow.f64 l 2) (cbrt.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	49.5b	(/.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)))
	33.3b	(/.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)))
	19.0b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 (.f64 t (*.f64 (cbrt.f64 (pow.f64 (sin.f64 k) 2)) (cbrt.f64 (pow.f64 (sin.f64 k) 2)))) (cbrt.f64 (pow.f64 (sin.f64 k) 2)))))))

Compiler

Compiled 6098 to 3420 computations (43.9% saved)

regimes1.6s (6.5%)

Accuracy

Total 5.0b remaining (31%)

Threshold costs 0b (0%)

Counts

190 → 2

Compiler

Compiled 33014 to 23801 computations (27.9% saved)

bsearch8.0ms (0%)

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

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	75
1	40	75
2	40	75

end1.0ms (0%)

Compiler: Compiled 52 to 32 computations (38.5% saved)

sample14.7s (61.4%)

Algorithm

1×

intervals

Results

4.2s	1208×	body	4096	invalid
3.1s	3896×	body	1024	valid
2.3s	1055×	body	2048	invalid
1.2s	1002×	body	2048	valid
1.0s	436×	body	4096	valid
688.0ms	1387×	body	512	valid
539.0ms	696×	body	1024	invalid
246.0ms	521×	body	512	invalid
187.0ms	1092×	body	128	invalid
160.0ms	463×	body	256	valid
149.0ms	816×	body	128	valid
91.0ms	294×	body	256	invalid

Compiler

Compiled 628 to 445 computations (29.1% saved)

Details

analyze3.3s (13.8%)

sample507.0ms (2.1%)

simplify35.0ms (0.1%)

prune4.0ms (0%)

localize17.0ms (0.1%)

series610.0ms (2.5%)

rewrite84.0ms (0.3%)

simplify231.0ms (1%)

prune396.0ms (1.6%)

localize14.0ms (0.1%)

series290.0ms (1.2%)

rewrite44.0ms (0.2%)

simplify96.0ms (0.4%)

prune449.0ms (1.9%)

localize13.0ms (0.1%)

series240.0ms (1%)

rewrite26.0ms (0.1%)

simplify76.0ms (0.3%)

prune364.0ms (1.5%)

localize14.0ms (0.1%)

series226.0ms (0.9%)

rewrite25.0ms (0.1%)

simplify124.0ms (0.5%)

prune469.0ms (2%)

regimes1.6s (6.5%)

bsearch8.0ms (0%)

simplify3.0ms (0%)

end1.0ms (0%)

sample14.7s (61.4%)

Profiling