Details

analyze3.5s (10.3%)

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)

sample17.6s (51.8%)

Results

5.4s	1300×	body	4096	invalid
4.0s	4033×	body	1024	valid
2.6s	1076×	body	2048	invalid
1.5s	1043×	body	2048	valid
1.2s	455×	body	4096	valid
931.0ms	1387×	body	512	valid
720.0ms	706×	body	1024	invalid
330.0ms	504×	body	512	invalid
270.0ms	1079×	body	128	invalid
242.0ms	496×	body	256	valid
219.0ms	842×	body	128	valid
147.0ms	326×	body	256	invalid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify37.0ms (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

38.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	38.3b	(/.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)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	1.1b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	13.5b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	26.6b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

series411.0ms (1.2%)

Counts

4 → 132

Calls

4 calls:

134.0ms	(.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))
82.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))
72.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))

rewrite61.0ms (0.2%)

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:

15.0ms	(.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))
8.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
5.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify202.0ms (0.6%)

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

prune405.0ms (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

16.3b

Counts

269 → 15

Alt Table

Status	Error	Program
	60.5b	(/.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))))
	38.3b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (.f64 (cbrt.f64 (pow.f64 (/.f64 k t) 2)) (cbrt.f64 (pow.f64 (/.f64 k t) 2)))) (cbrt.f64 (pow.f64 (/.f64 k t) 2))))
	62.0b	(/.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))))
	34.4b	(/.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)))
	34.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) 3) (/.f64 l (/.f64 t l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	30.3b	(/.f64 2 (/.f64 (*.f64 (pow.f64 k 4) t) (pow.f64 l 2)))
	34.1b	(/.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)))
	60.9b	(/.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))))
	63.1b	(/.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))) (log.f64 (pow.f64 (/.f64 k t) 2)))))
▶	22.9b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	32.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	32.6b	(/.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)))
	38.3b	(/.f64 2 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))) (cbrt.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)))) (cbrt.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)))) (pow.f64 (/.f64 k t) 2)))
	44.0b	(/.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)))
	49.0b	(/.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 8764 to 4571 computations (47.8% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 k) 2)
✓	1.2b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	6.6b	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	20.2b	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))

series190.0ms (0.6%)

Counts

4 → 16

Calls

4 calls:

141.0ms	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))
29.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
15.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
4.0ms	(pow.f64 (sin.f64 k) 2)

rewrite41.0ms (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:

9.0ms	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))
9.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
4.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
2.0ms	(pow.f64 (sin.f64 k) 2)

simplify93.0ms (0.3%)

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

prune351.0ms (1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	180	8	188
Fresh	6	8	14
Picked	1	0	1
Done	0	0	0
Total	187	16	203

Error

12.5b

Counts

203 → 16

Alt Table

Status	Error	Program
▶	21.0b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	34.1b	(/.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)))
	60.5b	(/.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))))
	22.9b	(/.f64 2 (/.f64 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)) (pow.f64 l 2)))
	34.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) 3) (/.f64 l (/.f64 t l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	60.3b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (.f64 (log.f64 k) 2) (log.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))) (+.f64 (log.f64 (cos.f64 k)) (*.f64 (log.f64 l) 2)))))
	32.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	21.5b	(/.f64 2 (/.f64 (pow.f64 k 2) (/.f64 (cos.f64 k) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 l l)))))
	21.3b	(/.f64 2 (/.f64 (pow.f64 k 2) (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	32.6b	(/.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)))
	30.3b	(/.f64 2 (/.f64 (*.f64 (pow.f64 k 4) t) (pow.f64 l 2)))
	56.2b	(/.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)))))
	22.9b	(/.f64 2 (.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (/.f64 1 (.f64 (cos.f64 k) (pow.f64 l 2)))))
	44.0b	(/.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)))
	49.0b	(/.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)))
	22.9b	(/.f64 2 (/.f64 (.f64 (.f64 (pow.f64 k 2) t) (pow.f64 (sin.f64 k) 2)) (*.f64 (cos.f64 k) (pow.f64 l 2))))

Compiler

Compiled 5739 to 3652 computations (36.4% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	0.4b	(pow.f64 (sin.f64 k) 2)
	1.2b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	20.2b	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))

series357.0ms (1.1%)

Counts

2 → 72

Calls

2 calls:

223.0ms	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))
134.0ms	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))

rewrite92.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

236×	`add-exp-log_binary64`
132×	`prod-exp_binary64`
76×	`add-cbrt-cube_binary64`
73×	`div-exp_binary64`
32×	`cbrt-unprod_binary64`

Counts

2 → 117

Calls

2 calls:

60.0ms	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))
10.0ms	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))

simplify165.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

666×	`associate-/l/_binary64`
509×	`times-frac_binary64`
289×	`associate-/r*_binary64`
251×	`associate-/l*_binary64`
250×	`associate-r_binary64`

Counts

189 → 162

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	234	6944
1	563	5870
2	2701	5842
3	4904	5840
4	4974	5840

prune508.0ms (1.5%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	229	9	238
Fresh	6	9	15
Picked	1	0	1
Done	0	0	0
Total	236	18	254

Error

11.8b

Counts

254 → 18

Alt Table

Status	Error	Program
	56.2b	(/.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)))))
	18.4b	(/.f64 2 (/.f64 k (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	60.5b	(exp.f64 (-.f64 (log.f64 2) (-.f64 (+.f64 (log.f64 k) (log.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))) (+.f64 (log.f64 (cos.f64 k)) (*.f64 (log.f64 l) 2)))))
	21.2b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 (.f64 t (pow.f64 (.f64 (cbrt.f64 (sin.f64 k)) (cbrt.f64 (sin.f64 k))) 2)) (pow.f64 (cbrt.f64 (sin.f64 k)) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	30.4b	(.f64 (/.f64 (.f64 l l) t) (-.f64 (/.f64 2 (pow.f64 k 4)) (/.f64 1/3 (*.f64 k k))))
	60.2b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 k) (+.f64 (log.f64 k) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2)))) (log.f64 (.f64 (cos.f64 k) (pow.f64 l 2))))))
	34.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) 3) (/.f64 l (/.f64 t l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	21.3b	(/.f64 2 (/.f64 (pow.f64 k 2) (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	32.6b	(/.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)))
	44.0b	(/.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)))
	18.3b	(.f64 (/.f64 (sqrt.f64 2) (/.f64 k (cos.f64 k))) (/.f64 (sqrt.f64 2) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))))
	49.0b	(/.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)))
	27.7b	(cbrt.f64 (.f64 (.f64 (/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))) (/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))) (/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))))
	21.0b	(/.f64 (/.f64 2 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))) (/.f64 1 (.f64 (cos.f64 k) (pow.f64 l 2))))
	22.9b	(/.f64 2 (/.f64 (.f64 (.f64 (pow.f64 k 2) t) (pow.f64 (sin.f64 k) 2)) (*.f64 (cos.f64 k) (pow.f64 l 2))))
▶	18.1b	(/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))
	34.1b	(/.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)))
	32.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))

Compiler

Compiled 7983 to 4637 computations (41.9% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 k) 2)
	1.2b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	4.2b	(/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))
✓	14.7b	(/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))

series320.0ms (0.9%)

Counts

2 → 40

Calls

2 calls:

231.0ms	(/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))
90.0ms	(/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))

rewrite201.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

1754×	`times-frac_binary64`
596×	`*-un-lft-identity_binary64`
596×	`add-sqr-sqrt_binary64`
596×	`add-cube-cbrt_binary64`
273×	`add-exp-log_binary64`

Counts

2 → 705

Calls

2 calls:

25.0ms	(/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))
9.0ms	(/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))

simplify994.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

857×	`associate-/l/_binary64`
823×	`times-frac_binary64`
749×	`associate-/r/_binary64`
103×	`associate-/r*_binary64`
100×	`sub-neg_binary64`

Counts

745 → 1094

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	1255	37654
1	3505	34599
2	4613	34595
3	4642	34523
4	4939	34523
5	4915	34523

prune2.9s (8.5%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	1154	16	1170
Fresh	11	6	17
Picked	1	0	1
Done	0	0	0
Total	1166	22	1188

Error

3.7b

Counts

1188 → 22

Alt Table

Status	Error	Program
	7.1b	(.f64 (/.f64 (.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (.f64 (cbrt.f64 (cos.f64 k)) (cbrt.f64 (cos.f64 k)))) (/.f64 k l)) (/.f64 (/.f64 (cbrt.f64 2) (/.f64 k (cbrt.f64 (cos.f64 k)))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	9.4b	(.f64 (/.f64 (/.f64 (sqrt.f64 2) k) (/.f64 k l)) (/.f64 (/.f64 (sqrt.f64 2) (/.f64 1 (cos.f64 k))) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	30.4b	(.f64 (/.f64 (.f64 l l) t) (-.f64 (/.f64 2 (pow.f64 k 4)) (/.f64 1/3 (*.f64 k k))))
	29.8b	(.f64 (/.f64 (/.f64 1 (/.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) (sqrt.f64 (cos.f64 k)))) (/.f64 k l)) (/.f64 (/.f64 2 (/.f64 (cbrt.f64 k) (sqrt.f64 (cos.f64 k)))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	11.2b	(.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) 1) (/.f64 k (pow.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l)) 2))) (/.f64 (/.f64 (cbrt.f64 2) (/.f64 k (cos.f64 k))) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 (cbrt.f64 l) 2))))
	20.7b	(.f64 (/.f64 (/.f64 (sqrt.f64 2) (/.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) (.f64 (cbrt.f64 (cos.f64 k)) (cbrt.f64 (cos.f64 k))))) k) (/.f64 (/.f64 (sqrt.f64 2) (/.f64 (cbrt.f64 k) (cbrt.f64 (cos.f64 k)))) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 l l))))
	44.0b	(/.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)))
	6.8b	(.f64 (/.f64 (.f64 (cbrt.f64 (cos.f64 k)) (cbrt.f64 (cos.f64 k))) (/.f64 k l)) (/.f64 (/.f64 2 (/.f64 k (cbrt.f64 (cos.f64 k)))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	10.1b	(/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (/.f64 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) l) l))
	49.0b	(/.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)))
	35.3b	(/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (/.f64 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) l) (pow.f64 (sqrt.f64 l) 2)))
	11.8b	(.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 (/.f64 k (cos.f64 k))) (cbrt.f64 (/.f64 k (cos.f64 k))))) (/.f64 k (pow.f64 (cbrt.f64 l) 4))) (/.f64 (/.f64 2 (cbrt.f64 (/.f64 k (cos.f64 k)))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 (cbrt.f64 l) 2))))
	19.5b	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 2 (/.f64 k (cos.f64 k)))) (cbrt.f64 (/.f64 2 (/.f64 k (cos.f64 k))))) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cbrt.f64 (/.f64 2 (/.f64 k (cos.f64 k)))) (.f64 l l)))
	7.7b	(.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 (cbrt.f64 (/.f64 k (cos.f64 k))) (cbrt.f64 (/.f64 k (cos.f64 k))))) (/.f64 k l)) (/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (/.f64 k (cos.f64 k)))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	7.6b	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 2 (/.f64 k (cos.f64 k)))) (cbrt.f64 (/.f64 2 (/.f64 k (cos.f64 k))))) (/.f64 k l)) (/.f64 (cbrt.f64 (/.f64 2 (/.f64 k (cos.f64 k)))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	11.1b	(.f64 (/.f64 1 (/.f64 k (pow.f64 (cbrt.f64 l) 4))) (/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 (cbrt.f64 l) 2))))
	18.4b	(/.f64 2 (/.f64 k (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	18.0b	(/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (/.f64 (.f64 k (.f64 (*.f64 t (sin.f64 k)) (sin.f64 k))) (pow.f64 l 2)))
	6.8b	(.f64 (/.f64 (.f64 (sqrt.f64 2) (.f64 (cbrt.f64 (cos.f64 k)) (cbrt.f64 (cos.f64 k)))) (/.f64 k l)) (/.f64 (/.f64 (sqrt.f64 2) (/.f64 k (cbrt.f64 (cos.f64 k)))) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	8.7b	(/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (.f64 (/.f64 k l) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	32.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	32.6b	(/.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 42564 to 22040 computations (48.2% saved)

regimes4.7s (13.9%)

Accuracy

Total 2.3b remaining (37.7%)

Threshold costs 0b (0%)

Counts

425 → 3

Compiler

Compiled 78912 to 55495 computations (29.7% saved)

bsearch362.0ms (1.1%)

Steps

Iters	Range		Point
9	1.2219338421598697e-200	6.166221287696676e-195	1.4456610753441822e-198
10	-6.850312156891729e-132	-2.789782290568249e-145	-1.003321514759076e-137

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	118
1	44	118
2	43	118

end422.0ms (1.2%)

Compiler: Compiled 842 to 539 computations (36% saved)

Details

analyze3.5s (10.3%)

sample17.6s (51.8%)

simplify37.0ms (0.1%)

prune4.0ms (0%)

localize19.0ms (0.1%)

series411.0ms (1.2%)

rewrite61.0ms (0.2%)

simplify202.0ms (0.6%)

prune405.0ms (1.2%)

localize14.0ms (0%)

series190.0ms (0.6%)

rewrite41.0ms (0.1%)

simplify93.0ms (0.3%)

prune351.0ms (1%)

localize15.0ms (0%)

series357.0ms (1.1%)

rewrite92.0ms (0.3%)

simplify165.0ms (0.5%)

prune508.0ms (1.5%)

localize15.0ms (0%)

series320.0ms (0.9%)

rewrite201.0ms (0.6%)

simplify994.0ms (2.9%)

prune2.9s (8.5%)

regimes4.7s (13.9%)

bsearch362.0ms (1.1%)

simplify3.0ms (0%)

end422.0ms (1.2%)

Profiling