Details

analyze3.7s (13.5%)

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)

sample18.4s (66.6%)

Results

4.9s	1255×	body	4096	invalid
4.2s	3932×	body	1024	valid
3.1s	1182×	body	2048	invalid
1.7s	1075×	body	2048	valid
1.4s	493×	body	4096	valid
1.0s	1433×	body	512	valid
706.0ms	716×	body	1024	invalid
362.0ms	512×	body	512	invalid
305.0ms	1089×	body	128	invalid
259.0ms	518×	body	256	valid
220.0ms	805×	body	128	valid
151.0ms	308×	body	256	invalid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify36.0ms (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

41.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	41.2b	(/.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)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	1.0b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	16.2b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	30.7b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

series380.0ms (1.4%)

Counts

4 → 132

Calls

4 calls:

140.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
126.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
79.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
35.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite70.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

228×	`add-exp-log_binary64`
139×	`prod-exp_binary64`
52×	`add-cbrt-cube_binary64`
51×	`div-exp_binary64`
37×	`times-frac_binary64`

Counts

4 → 195

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))
12.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
8.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
5.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify213.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

601×	`unswap-sqr_binary64`
512×	`associate-l_binary64`
377×	`associate-r_binary64`
198×	`fma-def_binary64`
197×	`*-commutative_binary64`

Counts

327 → 268

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	325	7680
1	754	6984
2	3315	6927
3	4897	6927
4	5040	6927

prune342.0ms (1.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	253	15	268
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	254	15	269

Error

16.5b

Counts

269 → 15

Alt Table

Status	Error	Program
	30.1b	(/.f64 2 (/.f64 (*.f64 (pow.f64 k 4) t) (pow.f64 l 2)))
	50.8b	(/.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)))
▶	23.9b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	57.2b	(/.f64 2 (.f64 (.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 t) 3) (+.f64 (log.f64 l) (log.f64 l)))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	61.6b	(/.f64 2 (.f64 (exp.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)))) (pow.f64 (/.f64 k t) 2)))
	37.2b	(/.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)))
	39.8b	(/.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)))
	48.1b	(/.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)))
	58.3b	(/.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))))
	36.8b	(/.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 (+.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))))
	35.6b	(/.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)))
	50.2b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (pow.f64 t (/.f64 3 2)) (/.f64 l (/.f64 (pow.f64 t 3/2) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	37.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) (/.f64 l (/.f64 t l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	59.6b	(/.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))))

Compiler

Compiled 8674 to 4523 computations (47.9% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 k) 2)
✓	2.2b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	6.2b	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	20.3b	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))

series196.0ms (0.7%)

Counts

4 → 16

Calls

4 calls:

142.0ms	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))
28.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
21.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
4.0ms	(pow.f64 (sin.f64 k) 2)

rewrite42.0ms (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:

10.0ms	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))
7.0ms	(.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)

simplify102.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

643×	`associate-*l/_binary64`
378×	`fma-def_binary64`
333×	`times-frac_binary64`
299×	`associate-/l/_binary64`
262×	`associate-/r/_binary64`

Counts

171 → 188

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	4015
1	515	3411
2	2234	3387
3	5146	3387

prune364.0ms (1.3%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	178	10	188
Fresh	5	9	14
Picked	1	0	1
Done	0	0	0
Total	184	19	203

Error

12.7b

Counts

203 → 19

Alt Table

Status	Error	Program
	60.2b	(/.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 (log.f64 (/.f64 k t)) 2))))
▶	20.9b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	22.1b	(/.f64 2 (/.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) 2) (.f64 (pow.f64 (cbrt.f64 k) 2) (.f64 t (pow.f64 (sin.f64 k) 2)))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	57.6b	(/.f64 2 (exp.f64 (-.f64 (log.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))) (+.f64 (log.f64 (cos.f64 k)) (*.f64 (log.f64 l) 2)))))
	35.6b	(/.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)))
	61.6b	(/.f64 2 (.f64 (exp.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)))) (pow.f64 (/.f64 k t) 2)))
	37.2b	(/.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)))
	22.7b	(/.f64 2 (/.f64 (pow.f64 k 2) (/.f64 (cos.f64 k) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 l l)))))
	39.8b	(/.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)))
	48.1b	(/.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)))
	22.7b	(/.f64 2 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2))))
	36.8b	(/.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)))
	56.5b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))) (log.f64 (*.f64 (cos.f64 k) (pow.f64 l 2))))))
	37.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) (/.f64 l (/.f64 t l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	24.0b	(/.f64 2 (/.f64 (.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))))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	59.5b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))) (+.f64 (log.f64 (cos.f64 k)) (*.f64 (log.f64 l) 2)))))
	56.4b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (pow.f64 k 2)) (log.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))) (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)))))
	48.1b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (pow.f64 k 2)) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))) (log.f64 (*.f64 (cos.f64 k) (pow.f64 l 2))))))
	50.2b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (pow.f64 t (/.f64 3 2)) (/.f64 l (/.f64 (pow.f64 t 3/2) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))

Compiler

Compiled 5977 to 3826 computations (36% saved)

localize16.0ms (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)
	2.2b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	20.3b	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))

series166.0ms (0.6%)

Counts

2 → 40

Calls

2 calls:

141.0ms	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))
25.0ms	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))

rewrite27.0ms (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 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))
5.0ms	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))

simplify79.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

865×	`associate-*l/_binary64`
465×	`times-frac_binary64`
338×	`associate-/l/_binary64`
306×	`associate-/r/_binary64`
216×	`associate-r_binary64`

Counts

108 → 90

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	3213
1	441	2675
2	2096	2661
3	5220	2661

prune364.0ms (1.3%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	159	7	166
Fresh	4	14	18
Picked	1	0	1
Done	0	0	0
Total	164	21	185

Error

11.5b

Counts

185 → 21

Alt Table

Status	Error	Program
	21.0b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (pow.f64 (sin.f64 k) 2) (cbrt.f64 t))))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	59.5b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 k) (+.f64 (log.f64 k) (log.f64 (.f64 t (pow.f64 (sin.f64 k) 2))))) (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)))))
	57.6b	(/.f64 2 (exp.f64 (-.f64 (log.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))) (+.f64 (log.f64 (cos.f64 k)) (*.f64 (log.f64 l) 2)))))
	35.6b	(/.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)))
	48.1b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (pow.f64 k 2)) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))) (log.f64 (*.f64 (cos.f64 k) (pow.f64 l 2))))))
	20.9b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 (.f64 t (sin.f64 k)) (sin.f64 k)))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	22.7b	(/.f64 2 (/.f64 (pow.f64 k 2) (/.f64 (cos.f64 k) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 l l)))))
	39.8b	(/.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)))
	48.1b	(/.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)))
	22.7b	(/.f64 2 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2))))
	36.8b	(/.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)))
	56.5b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))) (log.f64 (*.f64 (cos.f64 k) (pow.f64 l 2))))))
▶	18.0b	(/.f64 2 (.f64 (/.f64 k (cos.f64 k)) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))))
	37.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) (/.f64 l (/.f64 t l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	60.2b	(/.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 (log.f64 (/.f64 k t)) 2))))
	25.9b	(/.f64 2 (/.f64 (.f64 k (cbrt.f64 (pow.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) 3))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	18.0b	(/.f64 2 (/.f64 k (/.f64 (cos.f64 k) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 l l)))))
	61.6b	(/.f64 2 (.f64 (exp.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)))) (pow.f64 (/.f64 k t) 2)))
	50.2b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (pow.f64 t (/.f64 3 2)) (/.f64 l (/.f64 (pow.f64 t 3/2) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	21.0b	(/.f64 2 (/.f64 (.f64 k (.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) (.f64 (cbrt.f64 k) (.f64 t (pow.f64 (sin.f64 k) 2))))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	59.5b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))) (+.f64 (log.f64 (cos.f64 k)) (*.f64 (log.f64 l) 2)))))

Compiler

Compiled 5549 to 3357 computations (39.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 k) 2)
	2.2b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	3.1b	(.f64 (/.f64 k (cos.f64 k)) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))
✓	16.3b	(/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))

series245.0ms (0.9%)

Counts

2 → 40

Calls

2 calls:

136.0ms	(.f64 (/.f64 k (cos.f64 k)) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))
109.0ms	(/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))

rewrite40.0ms (0.1%)

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:

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

simplify145.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

750×	`associate-/r/_binary64`
219×	`associate-r_binary64`
219×	`associate-/l*_binary64`
200×	`fma-neg_binary64`
196×	`times-frac_binary64`

Counts

168 → 180

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	244	4976
1	610	4253
2	2434	4243
3	4873	4243
4	5042	4243

prune469.0ms (1.7%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	244	12	256
Fresh	12	8	20
Picked	1	0	1
Done	0	0	0
Total	257	20	277

Error

4.4b

Counts

277 → 20

Alt Table

Status	Error	Program
	25.9b	(/.f64 2 (/.f64 (.f64 k (cbrt.f64 (pow.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) 3))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	17.9b	(/.f64 2 (.f64 (/.f64 k (cos.f64 k)) (/.f64 (.f64 k (.f64 (.f64 t (sin.f64 k)) (sin.f64 k))) (pow.f64 l 2))))
	59.2b	(/.f64 2 (.f64 (/.f64 k (cos.f64 k)) (fma.f64 2/45 (/.f64 (.f64 t (pow.f64 k 7)) (.f64 l l)) (fma.f64 (/.f64 (pow.f64 k 3) l) (/.f64 t l) (fma.f64 (/.f64 (.f64 t (pow.f64 k 9)) (.f64 l l)) -1/315 (.f64 (/.f64 (.f64 t (pow.f64 k 5)) (.f64 l l)) -1/3))))))
	35.6b	(/.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)))
	18.0b	(/.f64 2 (/.f64 k (/.f64 (cos.f64 k) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 l l)))))
	39.0b	(/.f64 2 (.f64 (.f64 (/.f64 k l) (/.f64 k (cos.f64 k))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 (sqrt.f64 l) 2))))
	22.7b	(/.f64 2 (/.f64 (pow.f64 k 2) (/.f64 (cos.f64 k) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 l l)))))
	48.1b	(/.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)))
	21.0b	(/.f64 2 (/.f64 (.f64 k (.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) (.f64 (cbrt.f64 k) (.f64 t (pow.f64 (sin.f64 k) 2))))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	58.1b	(/.f64 2 (.f64 (/.f64 k (cos.f64 k)) (exp.f64 (-.f64 (+.f64 (log.f64 k) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))) (*.f64 (log.f64 l) 2)))))
	11.5b	(/.f64 2 (.f64 (/.f64 k (cos.f64 k)) (/.f64 (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) l) l)))
	39.6b	(/.f64 2 (.f64 (/.f64 k (cos.f64 k)) (/.f64 (.f64 k (.f64 (.f64 t (pow.f64 (sqrt.f64 (sin.f64 k)) 2)) (pow.f64 (sqrt.f64 (sin.f64 k)) 2))) (pow.f64 l 2))))
	14.1b	(/.f64 2 (.f64 (/.f64 k (cos.f64 k)) (/.f64 k (/.f64 l (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) l)))))
	11.2b	(/.f64 2 (.f64 (.f64 (/.f64 k (cos.f64 k)) (/.f64 k l)) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	48.1b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (pow.f64 k 2)) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))) (log.f64 (*.f64 (cos.f64 k) (pow.f64 l 2))))))
	15.9b	(/.f64 2 (.f64 (.f64 (/.f64 k (.f64 l (cbrt.f64 l))) (/.f64 k (cos.f64 k))) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 (cbrt.f64 l) 2))))
	20.8b	(/.f64 2 (/.f64 (.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (/.f64 k (cos.f64 k))) (pow.f64 l 2)))
	40.4b	(/.f64 2 (.f64 (sqrt.f64 (.f64 (/.f64 k (cos.f64 k)) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))) (sqrt.f64 (.f64 (/.f64 k (cos.f64 k)) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))))))
	56.5b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))) (log.f64 (*.f64 (cos.f64 k) (pow.f64 l 2))))))
	8.0b	(/.f64 2 (.f64 (/.f64 k (cos.f64 k)) (/.f64 (.f64 (/.f64 k l) (*.f64 t (pow.f64 (sin.f64 k) 2))) l)))

Compiler

Compiled 7504 to 4013 computations (46.5% saved)

regimes1.5s (5.6%)

Accuracy

Total 2.7b remaining (39.8%)

Threshold costs 0b (0%)

Counts

187 → 3

Compiler

Compiled 32187 to 23035 computations (28.4% saved)

bsearch232.0ms (0.8%)

Steps

Iters	Range		Point
5	1.4289920149354102e+145	2.922300760401688e+145	2.1694879221150623e+145
9	-4.841214403440884e+181	-3.004324928831623e+174	-2.7246474924947304e+175

Compiler

Compiled 4 to 3 computations (25% 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	26	72
1	34	72
2	34	72

end370.0ms (1.3%)

Compiler: Compiled 642 to 438 computations (31.8% saved)

Details

analyze3.7s (13.5%)

sample18.4s (66.6%)

simplify36.0ms (0.1%)

prune4.0ms (0%)

localize18.0ms (0.1%)

series380.0ms (1.4%)

rewrite70.0ms (0.3%)

simplify213.0ms (0.8%)

prune342.0ms (1.2%)

localize16.0ms (0.1%)

series196.0ms (0.7%)

rewrite42.0ms (0.2%)

simplify102.0ms (0.4%)

prune364.0ms (1.3%)

localize16.0ms (0.1%)

series166.0ms (0.6%)

rewrite27.0ms (0.1%)

simplify79.0ms (0.3%)

prune364.0ms (1.3%)

localize16.0ms (0.1%)

series245.0ms (0.9%)

rewrite40.0ms (0.1%)

simplify145.0ms (0.5%)

prune469.0ms (1.7%)

regimes1.5s (5.6%)

bsearch232.0ms (0.8%)

simplify3.0ms (0%)

end370.0ms (1.3%)

Profiling