Details

analyze3.5s (11.8%)

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)

sample18.0s (61.2%)

Results

4.8s	1184×	body	4096	invalid
4.3s	4040×	body	1024	valid
2.8s	1092×	body	2048	invalid
1.6s	1044×	body	2048	valid
1.5s	517×	body	4096	valid
993.0ms	1350×	body	512	valid
751.0ms	764×	body	1024	invalid
343.0ms	493×	body	512	invalid
277.0ms	1056×	body	128	invalid
225.0ms	842×	body	128	valid
214.0ms	463×	body	256	valid
141.0ms	302×	body	256	invalid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify38.0ms (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

40.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	40.8b	(/.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
✓	0.8b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	1.1b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	16.6b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	29.7b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

series387.0ms (1.3%)

Counts

4 → 132

Calls

4 calls:

143.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
130.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
76.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
37.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite69.0ms (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 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
14.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
8.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
5.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify211.0ms (0.7%)

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

prune325.0ms (1.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	258	10	268
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	259	10	269

Error

17.7b

Counts

269 → 10

Alt Table

Status	Error	Program
	48.8b	(/.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)))
	61.1b	(/.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))) (.f64 (-.f64 (log.f64 k) (log.f64 t)) 2))))
▶	23.0b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	55.1b	(/.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)))
	38.1b	(/.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)))
	44.4b	(/.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)))
	36.4b	(/.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)))
	31.5b	(/.f64 2 (fma.f64 31/360 (/.f64 (.f64 t (pow.f64 k 8)) (.f64 l l)) (fma.f64 1/6 (/.f64 (.f64 t (pow.f64 k 6)) (.f64 l l)) (/.f64 (.f64 t (pow.f64 k 4)) (.f64 l l)))))
	38.0b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 1 l) (.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	35.2b	(/.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 8426 to 4335 computations (48.6% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 k) 2)
✓	1.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	7.6b	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	18.7b	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))

series185.0ms (0.6%)

Counts

4 → 16

Calls

4 calls:

138.0ms	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))
27.0ms	(.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)

rewrite40.0ms (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)))
6.0ms	(.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)

simplify107.0ms (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

prune316.0ms (1.1%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	176	12	188
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	181	17	198

Error

11.7b

Counts

198 → 17

Alt Table

Status	Error	Program
	23.0b	(/.f64 2 (/.f64 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))
	55.3b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (.f64 (log.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))))))
	44.4b	(/.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)))
	22.1b	(/.f64 2 (/.f64 (pow.f64 k 2) (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	59.3b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))) (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)))))
	23.0b	(/.f64 2 (/.f64 (.f64 (.f64 (pow.f64 k 2) t) (pow.f64 (sin.f64 k) 2)) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	22.3b	(/.f64 2 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2))))
▶	19.5b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	38.0b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 1 l) (.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	57.1b	(/.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)))))
	56.7b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (pow.f64 k 2)) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))) (+.f64 (log.f64 (cos.f64 k)) (*.f64 (log.f64 l) 2)))))
	23.0b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 (.f64 t (sin.f64 k)) (sin.f64 k))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	38.1b	(/.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)))
	23.0b	(/.f64 2 (/.f64 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)) (pow.f64 l 2)))
	23.0b	(/.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)))))
	36.4b	(/.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)))
	35.2b	(/.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 5783 to 3694 computations (36.1% saved)

localize13.0ms (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)
	1.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	18.7b	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))

series382.0ms (1.3%)

Counts

2 → 72

Calls

2 calls:

239.0ms	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))
143.0ms	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))

rewrite43.0ms (0.1%)

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:

10.0ms	(/.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)))

simplify167.0ms (0.6%)

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

prune481.0ms (1.6%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	229	9	238
Fresh	4	12	16
Picked	0	1	1
Done	0	0	0
Total	233	22	255

Error

10.9b

Counts

255 → 22

Alt Table

Status	Error	Program
	23.0b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 (.f64 t (sin.f64 k)) (sin.f64 k))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	18.2b	(/.f64 2 (/.f64 k (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	38.1b	(/.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)))
▶	18.2b	(.f64 (/.f64 1 (/.f64 k (cos.f64 k))) (/.f64 2 (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))))
	23.0b	(/.f64 2 (/.f64 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))
	55.3b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (.f64 (log.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))))))
	22.1b	(/.f64 2 (/.f64 (pow.f64 k 2) (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	59.3b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))) (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)))))
	19.5b	(.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 (sqrt.f64 2) (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (*.f64 (cos.f64 k) (pow.f64 l 2)))))
	23.0b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	36.4b	(/.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)))
	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))))
	30.8b	(.f64 (/.f64 (.f64 l l) t) (-.f64 (/.f64 2 (pow.f64 k 4)) (/.f64 1/3 (*.f64 k k))))
	22.3b	(/.f64 2 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2))))
	19.7b	(.f64 (/.f64 (sqrt.f64 2) (.f64 (cbrt.f64 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))) (cbrt.f64 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))))) (/.f64 (sqrt.f64 2) (cbrt.f64 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))))
✓	19.5b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	38.0b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 1 l) (.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	57.4b	(exp.f64 (-.f64 (log.f64 2) (-.f64 (log.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))) (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)))))
	59.5b	(exp.f64 (-.f64 (log.f64 2) (-.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)))))
	57.1b	(/.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)))))
	56.7b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (pow.f64 k 2)) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))) (+.f64 (log.f64 (cos.f64 k)) (*.f64 (log.f64 l) 2)))))
	35.2b	(/.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 8131 to 4773 computations (41.3% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))
	1.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	3.6b	(.f64 (/.f64 1 (/.f64 k (cos.f64 k))) (/.f64 2 (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))))
✓	14.6b	(/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))

series501.0ms (1.7%)

Counts

3 → 76

Calls

3 calls:

241.0ms

(*.f64 (/.f64 1 (/.f64 k (cos.f64 k))) (/.f64 2 (/.f64 (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))))

168.0ms

(/.f64 2 (/.f64 (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))

91.0ms

(/.f64 (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))

rewrite132.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

737×	`add-exp-log_binary64`
382×	`div-exp_binary64`
308×	`prod-exp_binary64`
219×	`times-frac_binary64`
122×	`add-sqr-sqrt_binary64`

Counts

3 → 374

Calls

3 calls:

36.0ms

(*.f64 (/.f64 1 (/.f64 k (cos.f64 k))) (/.f64 2 (/.f64 (*.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))))

8.0ms

(/.f64 2 (/.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))

simplify343.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

374×	`associate-/l*_binary64`
365×	`associate-r_binary64`
348×	`associate-l_binary64`
336×	`associate-*l/_binary64`
329×	`associate-/r/_binary64`

Counts

450 → 496

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	470	14541
1	1099	12755
2	4305	12733
3	4651	12733
4	4996	12733

prune1.1s (3.7%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	529	12	541
Fresh	14	6	20
Picked	1	0	1
Done	0	1	1
Total	544	19	563

Error

4.4b

Counts

563 → 19

Alt Table

Status	Error	Program
	15.3b	(.f64 (.f64 (/.f64 1 (/.f64 k (cos.f64 k))) (/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (/.f64 k (pow.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l)) 2)))) (/.f64 (cbrt.f64 2) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 (cbrt.f64 l) 2))))
	10.0b	(.f64 (/.f64 1 (/.f64 k (cos.f64 k))) (/.f64 2 (.f64 (/.f64 k l) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) l))))
	56.7b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (pow.f64 k 2)) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))) (+.f64 (log.f64 (cos.f64 k)) (*.f64 (log.f64 l) 2)))))
	11.2b	(.f64 (.f64 (/.f64 (cos.f64 k) k) (/.f64 l k)) (/.f64 2 (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	23.0b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 (.f64 t (sin.f64 k)) (sin.f64 k))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	10.0b	(.f64 (/.f64 1 (/.f64 k (cos.f64 k))) (.f64 (/.f64 1 (/.f64 k l)) (/.f64 2 (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) l))))
	18.2b	(/.f64 2 (/.f64 k (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	14.9b	(.f64 (.f64 (/.f64 (cos.f64 k) k) (/.f64 (.f64 l (cbrt.f64 l)) k)) (/.f64 2 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 (cbrt.f64 l) 2))))
	18.5b	(.f64 (.f64 (cbrt.f64 (/.f64 1 (/.f64 k (cos.f64 k)))) (cbrt.f64 (/.f64 1 (/.f64 k (cos.f64 k))))) (.f64 (cbrt.f64 (/.f64 1 (/.f64 k (cos.f64 k)))) (/.f64 2 (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))))
	10.1b	(.f64 (/.f64 1 (/.f64 k (cos.f64 k))) (.f64 (/.f64 (sqrt.f64 2) (/.f64 k l)) (/.f64 (sqrt.f64 2) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) l))))
	36.4b	(/.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)))
✓	19.5b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	38.0b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 1 l) (.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	36.7b	(.f64 (.f64 (/.f64 1 (/.f64 k (cos.f64 k))) (/.f64 (sqrt.f64 2) (/.f64 k (pow.f64 (sqrt.f64 l) 2)))) (/.f64 (sqrt.f64 2) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 (sqrt.f64 l) 2))))
	59.8b	(exp.f64 (+.f64 (neg.f64 (-.f64 (log.f64 k) (log.f64 (cos.f64 k)))) (-.f64 (log.f64 2) (-.f64 (log.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (*.f64 (log.f64 l) 2)))))
	20.6b	(.f64 (/.f64 1 (/.f64 k (cos.f64 k))) (/.f64 2 (.f64 k (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t)))))
	17.8b	(.f64 (/.f64 1 (/.f64 k (cos.f64 k))) (/.f64 2 (/.f64 (.f64 k (.f64 (.f64 t (sin.f64 k)) (sin.f64 k))) (pow.f64 l 2))))
	38.1b	(/.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)))
	12.5b	(.f64 (/.f64 1 (/.f64 k (cos.f64 k))) (/.f64 2 (/.f64 (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) l) l)))

Compiler

Compiled 17525 to 9994 computations (43% saved)

regimes2.5s (8.7%)

Accuracy

Total 3.1b remaining (42.7%)

Threshold costs 0b (0%)

Counts

264 → 3

Compiler

Compiled 47243 to 34221 computations (27.6% saved)

bsearch154.0ms (0.5%)

Steps

Iters	Range		Point
4	2.2790426594608475e+185	3.695815485066064e+185	2.3080607327321946e+185
5	-2.719523179439962e+43	-4.49901817731016e+40	-9.946564707500091e+42

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`unpow1_binary64`
1×	`if-if-or-not_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	75
1	42	75
2	40	75

end339.0ms (1.2%)

Compiler: Compiled 622 to 439 computations (29.4% saved)

Details

analyze3.5s (11.8%)

sample18.0s (61.2%)

simplify38.0ms (0.1%)

prune4.0ms (0%)

localize15.0ms (0.1%)

series387.0ms (1.3%)

rewrite69.0ms (0.2%)

simplify211.0ms (0.7%)

prune325.0ms (1.1%)

localize16.0ms (0.1%)

series185.0ms (0.6%)

rewrite40.0ms (0.1%)

simplify107.0ms (0.4%)

prune316.0ms (1.1%)

localize13.0ms (0%)

series382.0ms (1.3%)

rewrite43.0ms (0.1%)

simplify167.0ms (0.6%)

prune481.0ms (1.6%)

localize15.0ms (0%)

series501.0ms (1.7%)

rewrite132.0ms (0.4%)

simplify343.0ms (1.2%)

prune1.1s (3.7%)

regimes2.5s (8.7%)

bsearch154.0ms (0.5%)

simplify3.0ms (0%)

end339.0ms (1.2%)

Profiling