Details

analyze3.5s (11.6%)

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)

sample473.0ms (1.6%)

Algorithm

1×

intervals

Results

104.0ms	43×	body	2048	invalid
101.0ms	45×	body	4096	invalid
100.0ms	136×	body	1024	valid
41.0ms	30×	body	2048	valid
23.0ms	10×	body	4096	valid
22.0ms	45×	body	512	valid
17.0ms	21×	body	1024	invalid
10.0ms	16×	body	512	invalid
6.0ms	35×	body	128	invalid
4.0ms	13×	body	256	valid
4.0ms	12×	body	256	invalid
4.0ms	22×	body	128	valid

Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify42.0ms (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

38.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	38.9b	(/.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)

localize15.0ms (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))
✓	15.0b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	29.8b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite64.0ms (0.2%)

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))
15.0ms	(/.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)))
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))

series1.0s (3.4%)

Counts

4 → 132

Calls

4 calls:

441.0ms	(/.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)))
261.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
261.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
59.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify231.0ms (0.8%)

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 → 668

Iterations

Useful iterations: 2 (0.0ms)

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

prune435.0ms (1.5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	651	17	668
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	652	17	669

Error

17.2b

Counts

669 → 17

Alt Table

Status	Error	Program
	37.8b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (/.f64 (pow.f64 t 3) l) l) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	36.1b	(/.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)))
	38.6b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (sin.f64 k)) (pow.f64 (/.f64 k t) 2)) (.f64 (*.f64 l l) (cos.f64 k))))
▶	22.3b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	38.5b	(.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))
	22.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	60.6b	(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))))
	60.6b	(/.f64 2 (exp.f64 (+.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))))
	48.0b	(/.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)))
	41.7b	(-.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))))
	34.9b	(/.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)))
	36.5b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) (/.f64 (*.f64 l l) t)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	47.9b	(/.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)))
	39.3b	(/.f64 (/.f64 2 (.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))) (pow.f64 (/.f64 k t) 2))
	37.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 t 3)) (cbrt.f64 (pow.f64 t 3))) l) (/.f64 (cbrt.f64 (pow.f64 t 3)) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	34.3b	(/.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)))
	59.1b	(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))) (log.f64 (pow.f64 (/.f64 k t) 2)))))

Compiler

Compiled 8986 to 4677 computations (48% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 k) 2)
✓	2.3b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	6.7b	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	17.8b	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))

rewrite36.0ms (0.1%)

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))))
6.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
5.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
2.0ms	(pow.f64 (sin.f64 k) 2)

series382.0ms (1.3%)

Counts

4 → 16

Calls

4 calls:

278.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))
61.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
37.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.0ms	(pow.f64 (sin.f64 k) 2)

simplify111.0ms (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 → 316

Iterations

Useful iterations: 2 (0.0ms)

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

prune429.0ms (1.4%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	302	14	316
Fresh	6	10	16
Picked	1	0	1
Done	0	0	0
Total	309	24	333

Error

12.1b

Counts

333 → 24

Alt Table

Status	Error	Program
	37.8b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (/.f64 (pow.f64 t 3) l) l) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	36.1b	(/.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)))
	38.6b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (sin.f64 k)) (pow.f64 (/.f64 k t) 2)) (.f64 (*.f64 l l) (cos.f64 k))))
	34.9b	(/.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)))
	57.0b	(.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)))))))
	22.3b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (.f64 (pow.f64 k 2) t) (pow.f64 (sin.f64 k) 2))))
	47.9b	(/.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)))
	58.9b	(.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)))))))
▶	18.3b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	20.5b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) (.f64 k k)) (.f64 l l)) (*.f64 t (pow.f64 (sin.f64 k) 2))))
	41.7b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 (sqrt.f64 k) 2) (.f64 (pow.f64 (sqrt.f64 k) 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	22.3b	(.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))))))
	28.9b	(.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)))))))
	34.3b	(/.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)))
	59.1b	(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))) (log.f64 (pow.f64 (/.f64 k t) 2)))))
	22.4b	(.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)))))))
	22.5b	(.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)))))))
	48.7b	(.f64 2 (exp.f64 (-.f64 (log.f64 (.f64 (cos.f64 k) (pow.f64 l 2))) (+.f64 (log.f64 (pow.f64 k 2)) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))))))
	36.5b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) (/.f64 (*.f64 l l) t)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	20.5b	(.f64 2 (/.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (pow.f64 k 2)) (*.f64 t (pow.f64 (sin.f64 k) 2))))
	38.5b	(.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))
	41.7b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 (sqrt.f64 k) 2) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	60.6b	(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))))
	22.3b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 k) 2)))))))

Compiler

Compiled 6136 to 3937 computations (35.8% saved)

localize14.0ms (0%)

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)
	2.3b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	17.8b	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))

rewrite21.0ms (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:

11.0ms	(/.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)))

series369.0ms (1.2%)

Counts

2 → 40

Calls

2 calls:

312.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
57.0ms	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))

simplify91.0ms (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 → 202

Iterations

Useful iterations: 2 (0.0ms)

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

prune372.0ms (1.2%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	291	5	296
Fresh	10	13	23
Picked	0	1	1
Done	0	0	0
Total	301	19	320

Error

11.3b

Counts

320 → 19

Alt Table

Status	Error	Program
	37.8b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (/.f64 (pow.f64 t 3) l) l) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	36.1b	(/.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)))
	34.9b	(/.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)))
	57.0b	(.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)))))))
	47.9b	(/.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)))
	58.9b	(.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)))))))
	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)))))
	18.5b	(.f64 2 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))) (cbrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))))) (cbrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))))
✓	18.3b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	20.5b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) (.f64 k k)) (.f64 l l)) (*.f64 t (pow.f64 (sin.f64 k) 2))))
	16.5b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (/.f64 (pow.f64 l 2) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))))
	59.1b	(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))) (log.f64 (pow.f64 (/.f64 k t) 2)))))
	22.5b	(.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)))))))
	48.7b	(.f64 2 (exp.f64 (-.f64 (log.f64 (.f64 (cos.f64 k) (pow.f64 l 2))) (+.f64 (log.f64 (pow.f64 k 2)) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))))))
▶	15.9b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) k) (.f64 l l)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	38.5b	(.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))
	18.3b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 (*.f64 k t) (pow.f64 (sin.f64 k) 2)))))
	34.3b	(/.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)))
	60.6b	(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))))

Compiler

Compiled 5316 to 3188 computations (40% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 k) 2)
	2.3b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	8.7b	(.f64 (/.f64 (cos.f64 k) k) (.f64 l l))
✓	10.0b	(/.f64 (.f64 (/.f64 (cos.f64 k) k) (.f64 l l)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))

rewrite24.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

134×	`add-exp-log_binary64`
83×	`add-cbrt-cube_binary64`
71×	`prod-exp_binary64`
39×	`cbrt-unprod_binary64`
37×	`div-exp_binary64`

Counts

2 → 93

Calls

2 calls:

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

series310.0ms (1%)

Counts

2 → 60

Calls

2 calls:

258.0ms	(/.f64 (.f64 (/.f64 (cos.f64 k) k) (.f64 l l)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))
52.0ms	(.f64 (/.f64 (cos.f64 k) k) (.f64 l l))

simplify137.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

586×	`fma-def_binary64`
504×	`associate-/r/_binary64`
499×	`times-frac_binary64`
335×	`fma-neg_binary64`
223×	`associate-/l*_binary64`

Counts

153 → 300

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	201	4381
1	516	3396
2	2350	3364
3	4630	3358
4	5302	3358

prune510.0ms (1.7%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	481	7	488
Fresh	5	12	17
Picked	1	0	1
Done	0	1	1
Total	487	20	507

Error

7.4b

Counts

507 → 20

Alt Table

Status	Error	Program
	36.1b	(/.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)))
	58.8b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 (cos.f64 k) k)) (+.f64 (log.f64 l) (log.f64 l))) (+.f64 (log.f64 k) (log.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	37.8b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (/.f64 (pow.f64 t 3) l) l) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	34.9b	(/.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)))
	57.0b	(.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)))))))
	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)))))
✓	18.3b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	20.5b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) (.f64 k k)) (.f64 l l)) (*.f64 t (pow.f64 (sin.f64 k) 2))))
	47.9b	(/.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)))
	15.9b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) k) (.f64 l l)) (.f64 k (.f64 (.f64 t (sin.f64 k)) (sin.f64 k)))))
	34.3b	(/.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)))
	51.3b	(.f64 2 (/.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 k)) (sqrt.f64 k)) l) (.f64 (/.f64 (sqrt.f64 (cos.f64 k)) (sqrt.f64 k)) l)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
	16.1b	(.f64 2 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (/.f64 (cos.f64 k) k) (.f64 l l)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))) (cbrt.f64 (/.f64 (.f64 (/.f64 (cos.f64 k) k) (.f64 l l)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))) (cbrt.f64 (/.f64 (.f64 (/.f64 (cos.f64 k) k) (.f64 l l)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))))
	38.3b	(.f64 2 (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 k) k)) l) (.f64 (sqrt.f64 (/.f64 (cos.f64 k) k)) l)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
	10.8b	(.f64 2 (/.f64 (.f64 (.f64 (/.f64 (cos.f64 k) k) l) l) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	38.5b	(.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))
	18.3b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 (*.f64 k t) (pow.f64 (sin.f64 k) 2)))))
	19.2b	(.f64 2 (/.f64 (/.f64 (cos.f64 k) k) (/.f64 k (/.f64 (.f64 l l) (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	16.5b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (/.f64 (pow.f64 l 2) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))))
	48.7b	(.f64 2 (exp.f64 (-.f64 (log.f64 (.f64 (cos.f64 k) (pow.f64 l 2))) (+.f64 (log.f64 (pow.f64 k 2)) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))))))

Compiler

Compiled 6455 to 2736 computations (57.6% saved)

regimes2.7s (8.9%)

Accuracy

Total 4.9b remaining (37.6%)

Threshold costs 0b (0%)

Compiler

Compiled 33124 to 23210 computations (29.9% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	20	29
2	20	29

end1.0ms (0%)

Compiler: Compiled 22 to 15 computations (31.8% saved)

sample18.7s (62.4%)

Algorithm

1×

intervals

Results

5.5s	1260×	body	4096	invalid
3.8s	3915×	body	1024	valid
2.8s	1091×	body	2048	invalid
1.6s	1043×	body	2048	valid
1.5s	491×	body	4096	valid
813.0ms	1301×	body	512	valid
665.0ms	686×	body	1024	invalid
311.0ms	500×	body	512	invalid
241.0ms	1063×	body	128	invalid
200.0ms	468×	body	256	valid
174.0ms	782×	body	128	valid
116.0ms	277×	body	256	invalid

Compiler

Compiled 590 to 394 computations (33.2% saved)

Details

analyze3.5s (11.6%)

sample473.0ms (1.6%)

simplify42.0ms (0.1%)

prune4.0ms (0%)

localize15.0ms (0.1%)

rewrite64.0ms (0.2%)

series1.0s (3.4%)

simplify231.0ms (0.8%)

prune435.0ms (1.5%)

localize14.0ms (0%)

rewrite36.0ms (0.1%)

series382.0ms (1.3%)

simplify111.0ms (0.4%)

prune429.0ms (1.4%)

localize14.0ms (0%)

rewrite21.0ms (0.1%)

series369.0ms (1.2%)

simplify91.0ms (0.3%)

prune372.0ms (1.2%)

localize16.0ms (0.1%)

rewrite24.0ms (0.1%)

series310.0ms (1%)

simplify137.0ms (0.5%)

prune510.0ms (1.7%)

regimes2.7s (8.9%)

simplify5.0ms (0%)

end1.0ms (0%)

sample18.7s (62.4%)

Profiling