Details

analyze3.4s (12.7%)

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)

sample564.0ms (2.1%)

Algorithm

1×

intervals

Results

209.0ms	54×	body	4096	invalid
90.0ms	124×	body	1024	valid
58.0ms	28×	body	2048	invalid
43.0ms	31×	body	2048	valid
31.0ms	14×	body	4096	valid
19.0ms	36×	body	512	valid
15.0ms	21×	body	1024	invalid
7.0ms	16×	body	512	invalid
7.0ms	35×	body	128	valid
6.0ms	36×	body	128	invalid
5.0ms	16×	body	256	valid
2.0ms	8×	body	256	invalid

Compiler

Compiled 60 to 46 computations (23.3% 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

44.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	44.8b	(/.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)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	0.8b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	18.7b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	30.9b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

series390.0ms (1.4%)

Counts

4 → 132

Calls

4 calls:

141.0ms	(.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 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
81.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
36.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite64.0ms (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:

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))
9.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
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))

simplify207.0ms (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

prune351.0ms (1.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	255	13	268
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	256	13	269

Error

17.9b

Counts

269 → 13

Alt Table

Status	Error	Program
	48.5b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (.f64 (sin.f64 k) (/.f64 (*.f64 t (sqrt.f64 t)) l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	51.3b	(/.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)))
	56.3b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) (*.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k)))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	41.2b	(/.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)))
	33.4b	(/.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)))))
	36.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (*.f64 t t) 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) (log.f64 (.f64 l l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (*.f64 (-.f64 (log.f64 k) (log.f64 t)) 2))))
	36.3b	(/.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)))
	51.4b	(/.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)))
▶	26.7b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	45.6b	(/.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)))
	49.4b	(/.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)))
	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 (-.f64 (log.f64 k) (log.f64 t)) 2))))

Compiler

Compiled 8614 to 4465 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)
✓	2.4b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	8.3b	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	23.4b	(/.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:

144.0ms	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))
30.0ms	(.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)

rewrite61.0ms (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 (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)))
5.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
2.0ms	(pow.f64 (sin.f64 k) 2)

simplify100.0ms (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

prune363.0ms (1.3%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	176	12	188
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	180	21	201

Error

13.2b

Counts

201 → 21

Alt Table

Status	Error	Program
	28.8b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 k) 2) 3)))) (*.f64 (cos.f64 k) (pow.f64 l 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 (-.f64 (log.f64 k) (log.f64 t)) 2))))
	48.5b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (.f64 (sin.f64 k) (/.f64 (*.f64 t (sqrt.f64 t)) l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	51.3b	(/.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)))
	60.8b	(/.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))))))
	56.3b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) (*.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k)))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	41.2b	(/.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)))
	44.4b	(/.f64 2 (/.f64 (.f64 (pow.f64 (sqrt.f64 k) 2) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	26.7b	(/.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))))
	36.3b	(/.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)))
	24.8b	(/.f64 2 (/.f64 (pow.f64 k 2) (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	51.4b	(/.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)))
	27.1b	(/.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)))))
▶	24.3b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	24.6b	(/.f64 2 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2))))
	26.9b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (exp.f64 (log.f64 (pow.f64 (sin.f64 k) 2))))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	49.4b	(/.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)))
	59.4b	(/.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)))))
	55.9b	(/.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)))))
	36.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (*.f64 t t) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	26.7b	(/.f64 2 (/.f64 1 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))))

Compiler

Compiled 6045 to 3880 computations (35.8% saved)

localize14.0ms (0.1%)

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)
	2.4b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	23.4b	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))

series380.0ms (1.4%)

Counts

2 → 72

Calls

2 calls:

234.0ms	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))
145.0ms	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))

rewrite45.0ms (0.2%)

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:

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

simplify162.0ms (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

prune534.0ms (2%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	224	14	238
Fresh	8	12	20
Picked	1	0	1
Done	0	0	0
Total	233	26	259

Error

12.4b

Counts

259 → 26

Alt Table

Status	Error	Program
	22.7b	(.f64 (/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (/.f64 k (cos.f64 k))) (/.f64 (cbrt.f64 2) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))))
	28.8b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 k) 2) 3)))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	51.3b	(/.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)))
	60.1b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 k) (+.f64 (log.f64 k) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2)))) (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)))))
	48.5b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (.f64 (sin.f64 k) (/.f64 (*.f64 t (sqrt.f64 t)) l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	32.5b	(.f64 (/.f64 (.f64 l l) t) (-.f64 (/.f64 2 (pow.f64 k 4)) (/.f64 1/3 (*.f64 k k))))
	57.3b	(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)))))
	26.8b	(/.f64 (/.f64 2 (.f64 (cbrt.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 l l) (cos.f64 k)))) (cbrt.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 l l) (cos.f64 k)))))) (cbrt.f64 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (*.f64 (cos.f64 k) (pow.f64 l 2)))))
	60.8b	(/.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))))))
	56.3b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) (*.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k)))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	41.2b	(/.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)))
	22.3b	(/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))
	60.1b	(exp.f64 (-.f64 (log.f64 2) (-.f64 (+.f64 (log.f64 k) (+.f64 (log.f64 k) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2)))) (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)))))
	36.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (*.f64 t t) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	24.3b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 (.f64 t (sin.f64 k)) (sin.f64 k)))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	36.3b	(/.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)))
	51.4b	(/.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)))
	24.7b	(/.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))))
	24.3b	(.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)))))
	22.4b	(.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))))
▶	22.3b	(/.f64 2 (/.f64 k (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	49.4b	(/.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)))
	26.9b	(.f64 (/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (.f64 (.f64 l l) (cos.f64 k)) (cbrt.f64 2)))
	55.9b	(/.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)))))
	22.3b	(.f64 (/.f64 (cos.f64 k) k) (/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 l l))))
	24.6b	(/.f64 2 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2))))

Compiler

Compiled 8417 to 4955 computations (41.1% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 k) 2)
	2.4b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	4.5b	(/.f64 k (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
✓	18.3b	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))

series314.0ms (1.2%)

Counts

2 → 40

Calls

2 calls:

175.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))
139.0ms	(/.f64 k (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))

rewrite35.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

172×	`add-exp-log_binary64`
86×	`prod-exp_binary64`
61×	`div-exp_binary64`
52×	`add-cbrt-cube_binary64`
20×	`times-frac_binary64`

Counts

2 → 105

Calls

2 calls:

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

simplify153.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

419×	`fma-def_binary64`
374×	`times-frac_binary64`
260×	`sub-neg_binary64`
226×	`associate-/l*_binary64`
225×	`fma-neg_binary64`

Counts

145 → 151

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	208	4979
1	512	4221
2	2365	4210
3	3588	4200
4	4885	4200
5	4952	4200

prune554.0ms (2.1%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	221	6	227
Fresh	5	20	25
Picked	1	0	1
Done	0	0	0
Total	227	26	253

Error

12.1b

Counts

253 → 26

Alt Table

Status	Error	Program
	49.4b	(/.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)))
	23.2b	(/.f64 2 (/.f64 k (.f64 (/.f64 (cos.f64 k) k) (/.f64 (pow.f64 l 2) (.f64 t (pow.f64 (sin.f64 k) 2))))))
	22.0b	(/.f64 2 (/.f64 k (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 (.f64 t (sin.f64 k)) (sin.f64 k))))))
	26.9b	(.f64 (/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (.f64 (.f64 l l) (cos.f64 k)) (cbrt.f64 2)))
	22.7b	(.f64 (/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (/.f64 k (cos.f64 k))) (/.f64 (cbrt.f64 2) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))))
	28.8b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 k) 2) 3)))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	48.5b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (.f64 (sin.f64 k) (/.f64 (*.f64 t (sqrt.f64 t)) l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	51.3b	(/.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)))
	55.9b	(/.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)))))
	56.8b	(/.f64 2 (/.f64 k (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (log.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))))
	32.5b	(.f64 (/.f64 (.f64 l l) t) (-.f64 (/.f64 2 (pow.f64 k 4)) (/.f64 1/3 (*.f64 k k))))
	57.3b	(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)))))
	26.8b	(/.f64 (/.f64 2 (.f64 (cbrt.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 l l) (cos.f64 k)))) (cbrt.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 l l) (cos.f64 k)))))) (cbrt.f64 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (*.f64 (cos.f64 k) (pow.f64 l 2)))))
	60.8b	(/.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))))))
	56.3b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) (*.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k)))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	60.1b	(/.f64 2 (/.f64 k (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (log.f64 k) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2)))))))
	41.2b	(/.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)))
	22.3b	(/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))
	36.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 (*.f64 t t) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	22.3b	(/.f64 2 (/.f64 1 (/.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))) k)))
	36.3b	(/.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)))
	51.4b	(/.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)))
	24.7b	(/.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))))
	24.3b	(.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)))))
	22.4b	(.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))))
	23.2b	(/.f64 2 (.f64 (/.f64 k (cos.f64 k)) (/.f64 k (/.f64 (.f64 l l) (*.f64 t (pow.f64 (sin.f64 k) 2))))))

Compiler

Compiled 7169 to 4049 computations (43.5% saved)

regimes2.7s (9.9%)

Accuracy

Total 5.5b remaining (33.3%)

Threshold costs 0b (0%)

Counts

229 → 3

Compiler

Compiled 39865 to 28605 computations (28.2% saved)

bsearch708.0ms (2.6%)

Steps

Iters	Range		Point
10	2.986535462567264e+148	3.1291548187460236e+161	1.3604675236684082e+154
8	-5.4117169165033095e+162	-1.5036883700298844e+159	-1.523926379378027e+159

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
1×	`if-if-or-not_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	78
1	42	78
2	42	78

end1.0ms (0%)

Compiler: Compiled 54 to 36 computations (33.3% saved)

sample15.5s (57.7%)

Algorithm

1×

intervals

Results

4.5s	1229×	body	4096	invalid
3.1s	3873×	body	1024	valid
2.3s	1023×	body	2048	invalid
1.3s	1012×	body	2048	valid
1.1s	458×	body	4096	valid
710.0ms	1373×	body	512	valid
512.0ms	642×	body	1024	invalid
266.0ms	501×	body	512	invalid
194.0ms	1014×	body	128	invalid
175.0ms	812×	body	128	valid
159.0ms	472×	body	256	valid
94.0ms	273×	body	256	invalid

Compiler

Compiled 803 to 576 computations (28.3% saved)

Details

analyze3.4s (12.7%)

sample564.0ms (2.1%)

simplify36.0ms (0.1%)

prune4.0ms (0%)

localize17.0ms (0.1%)

series390.0ms (1.4%)

rewrite64.0ms (0.2%)

simplify207.0ms (0.8%)

prune351.0ms (1.3%)

localize14.0ms (0.1%)

series196.0ms (0.7%)

rewrite61.0ms (0.2%)

simplify100.0ms (0.4%)

prune363.0ms (1.3%)

localize14.0ms (0.1%)

series380.0ms (1.4%)

rewrite45.0ms (0.2%)

simplify162.0ms (0.6%)

prune534.0ms (2%)

localize13.0ms (0%)

series314.0ms (1.2%)

rewrite35.0ms (0.1%)

simplify153.0ms (0.6%)

prune554.0ms (2.1%)

regimes2.7s (9.9%)

bsearch708.0ms (2.6%)

simplify3.0ms (0%)

end1.0ms (0%)

sample15.5s (57.7%)

Profiling