Details

analyze3.6s (14.6%)

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)

sample623.0ms (2.5%)

Algorithm

1×

intervals

Results

180.0ms	37×	body	4096	invalid
137.0ms	52×	body	2048	invalid
102.0ms	131×	body	1024	valid
41.0ms	33×	body	2048	valid
22.0ms	15×	body	4096	valid
19.0ms	41×	body	512	valid
15.0ms	20×	body	1024	invalid
9.0ms	18×	body	512	invalid
6.0ms	29×	body	128	invalid
6.0ms	18×	body	256	valid
4.0ms	12×	body	256	invalid
3.0ms	18×	body	128	valid

Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify35.0ms (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

40.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	40.3b	(/.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)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.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))
✓	13.3b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	28.4b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

series569.0ms (2.3%)

Counts

4 → 132

Calls

4 calls:

274.0ms	(/.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)))
136.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
125.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
33.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite86.0ms (0.4%)

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:

18.0ms	(/.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)))
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))
8.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
6.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify192.0ms (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 → 272

Iterations

Useful iterations: 2 (0.0ms)

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

prune392.0ms (1.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	256	16	272
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	257	16	273

Error

14.9b

Counts

273 → 16

Alt Table

Status	Error	Program
	38.2b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) 2)) (pow.f64 (/.f64 (cbrt.f64 k) (cbrt.f64 t)) 2)))
	48.2b	(/.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)))
	40.0b	(-.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))))
	35.7b	(/.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	(/.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))))
	62.3b	(/.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)))))
	60.9b	(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))))
	62.6b	(/.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)))
▶	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)))))
	53.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 (sqrt.f64 k) (.f64 (cbrt.f64 t) (cbrt.f64 t))) 2)) (pow.f64 (/.f64 (sqrt.f64 k) (cbrt.f64 t)) 2)))
	47.1b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (/.f64 (pow.f64 (sqrt.f64 t) 3) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	40.3b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (tan.f64 k)) (.f64 l l)) (pow.f64 (/.f64 k t) 2)))
	22.4b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	47.0b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (/.f64 (pow.f64 t 3/2) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	40.8b	(/.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)))
	36.4b	(/.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 9001 to 4681 computations (48% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 k) 2)
✓	0.5b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	7.2b	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	18.7b	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))

series255.0ms (1%)

Counts

4 → 16

Calls

4 calls:

206.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))
28.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
17.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
4.0ms	(pow.f64 (sin.f64 k) 2)

rewrite43.0ms (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 (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)))
6.0ms	(*.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

585×	`associate-*l/_binary64`
386×	`associate-/l/_binary64`
375×	`fma-def_binary64`
286×	`times-frac_binary64`
260×	`cancel-sign-sub-inv_binary64`

Counts

171 → 188

Iterations

Useful iterations: 2 (0.0ms)

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

prune451.0ms (1.8%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	173	15	188
Fresh	7	8	15
Picked	1	0	1
Done	0	0	0
Total	181	23	204

Error

10.8b

Counts

204 → 23

Alt Table

Status	Error	Program
	38.2b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) 2)) (pow.f64 (/.f64 (cbrt.f64 k) (cbrt.f64 t)) 2)))
	48.2b	(/.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)))
	56.9b	(.f64 2 (exp.f64 (-.f64 (log.f64 (.f64 (cos.f64 k) (pow.f64 l 2))) (+.f64 (.f64 (log.f64 k) 2) (log.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	22.6b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 (*.f64 t (pow.f64 (cbrt.f64 (sin.f64 k)) 4)) (pow.f64 (cbrt.f64 (sin.f64 k)) 2)))))
	22.5b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))) (cbrt.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))))) (cbrt.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	60.3b	(.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)))))))
	47.0b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (/.f64 (pow.f64 t 3/2) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
▶	19.3b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	62.6b	(/.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)))
	56.9b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (log.f64 (pow.f64 k 2)) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))))))
	22.4b	(.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)))))))
	45.0b	(.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 (.f64 (pow.f64 k 2) t) (pow.f64 (sin.f64 k) 2))))
	29.8b	(.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)))))))
	36.4b	(/.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)))
	21.1b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) (.f64 k k)) (.f64 l l)) (*.f64 t (pow.f64 (sin.f64 k) 2))))
	20.3b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.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))))))
	35.7b	(/.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)))
	22.3b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 (*.f64 t (sin.f64 k)) (sin.f64 k)))))
	22.4b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	51.2b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (fma.f64 (pow.f64 k 4) -1/3 (fma.f64 k k (*.f64 (pow.f64 k 6) 2/45)))))))
	47.1b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (/.f64 (pow.f64 (sqrt.f64 t) 3) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	60.8b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))))))

Compiler

Compiled 6237 to 4004 computations (35.8% saved)

localize15.0ms (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)
	0.5b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	18.7b	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))

series235.0ms (1%)

Counts

2 → 40

Calls

2 calls:

210.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 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:

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)))

simplify79.0ms (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 → 90

Iterations

Useful iterations: 2 (0.0ms)

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

prune372.0ms (1.5%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	159	7	166
Fresh	7	15	22
Picked	1	0	1
Done	0	0	0
Total	167	22	189

Error

9.7b

Counts

189 → 22

Alt Table

Status	Error	Program
	38.2b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) 2)) (pow.f64 (/.f64 (cbrt.f64 k) (cbrt.f64 t)) 2)))
	48.2b	(/.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)))
	19.3b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 (*.f64 k t) (pow.f64 (sin.f64 k) 2)))))
	19.5b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) (.f64 (cbrt.f64 k) (*.f64 t (pow.f64 (sin.f64 k) 2)))))))
	21.1b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) (.f64 k k)) (.f64 l l)) (*.f64 t (pow.f64 (sin.f64 k) 2))))
	35.7b	(/.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)))
	23.0b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (*.f64 t (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 k) 2) 3)))))))
▶	16.1b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) k) (.f64 l l)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	16.9b	(.f64 2 (/.f64 (cos.f64 k) (/.f64 k (/.f64 (.f64 l l) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	60.3b	(.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)))))))
	47.0b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (/.f64 (pow.f64 t 3/2) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	45.0b	(.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 (.f64 (pow.f64 k 2) t) (pow.f64 (sin.f64 k) 2))))
	29.8b	(.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)))))))
	36.4b	(/.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)))
	60.8b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))))))
	19.6b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 (.f64 t (*.f64 (cbrt.f64 (pow.f64 (sin.f64 k) 2)) (cbrt.f64 (pow.f64 (sin.f64 k) 2)))) (cbrt.f64 (pow.f64 (sin.f64 k) 2)))))))
	22.5b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))) (cbrt.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))))) (cbrt.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	62.6b	(/.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)))
	56.9b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (log.f64 (pow.f64 k 2)) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))))))
	19.5b	(.f64 2 (/.f64 (cos.f64 k) (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (pow.f64 l 2))))
	47.1b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (/.f64 (pow.f64 (sqrt.f64 t) 3) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))

Compiler

Compiled 5681 to 3438 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)
	0.5b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	6.8b	(.f64 (/.f64 (cos.f64 k) k) (.f64 l l))
✓	9.9b	(/.f64 (.f64 (/.f64 (cos.f64 k) k) (.f64 l l)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))

series223.0ms (0.9%)

Counts

2 → 60

Calls

2 calls:

203.0ms	(/.f64 (.f64 (/.f64 (cos.f64 k) k) (.f64 l l)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))
20.0ms	(.f64 (/.f64 (cos.f64 k) k) (.f64 l l))

rewrite35.0ms (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:

12.0ms	(/.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))

simplify122.0ms (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 → 143

Iterations

Useful iterations: 3 (0.0ms)

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

prune415.0ms (1.7%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	209	10	219
Fresh	11	10	21
Picked	1	0	1
Done	0	0	0
Total	221	20	241

Error

4.9b

Counts

241 → 20

Alt Table

Status	Error	Program
	16.3b	(.f64 2 (/.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 k) (cbrt.f64 k))) (.f64 (/.f64 (cos.f64 k) (cbrt.f64 k)) (.f64 l l))) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	38.1b	(.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)))))
	19.5b	(.f64 2 (/.f64 (/.f64 (cos.f64 k) k) (/.f64 k (/.f64 (.f64 l l) (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	19.3b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 (*.f64 k t) (pow.f64 (sin.f64 k) 2)))))
	10.2b	(.f64 2 (/.f64 (.f64 (.f64 (/.f64 (cos.f64 k) k) l) l) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	16.3b	(.f64 2 (/.f64 1 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (/.f64 (*.f64 l l) k) (cos.f64 k)))))
	35.7b	(/.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)))
	23.0b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (*.f64 t (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 k) 2) 3)))))))
	16.1b	(.f64 2 (/.f64 (/.f64 (.f64 (cos.f64 k) (.f64 l l)) k) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	26.4b	(.f64 2 (.f64 (sqrt.f64 (/.f64 (.f64 (/.f64 (cos.f64 k) k) (.f64 l l)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))) (sqrt.f64 (/.f64 (.f64 (/.f64 (cos.f64 k) k) (.f64 l l)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	59.0b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 (cos.f64 k) k)) (+.f64 (log.f64 l) (log.f64 l))) (log.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))))
	16.9b	(.f64 2 (/.f64 (cos.f64 k) (/.f64 k (/.f64 (.f64 l l) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	45.0b	(.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))))))
	36.4b	(/.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)))
	60.8b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))))))
	17.4b	(.f64 2 (/.f64 (.f64 (/.f64 (.f64 l l) k) (/.f64 (cos.f64 k) k)) (.f64 t (pow.f64 (sin.f64 k) 2))))
	16.1b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) k) (.f64 l l)) (.f64 k (.f64 (.f64 t (sin.f64 k)) (sin.f64 k)))))
	47.0b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (/.f64 (pow.f64 t 3/2) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	62.6b	(/.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)))
	56.9b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (log.f64 (pow.f64 k 2)) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))))))

Compiler

Compiled 6567 to 2794 computations (57.5% saved)

regimes1.7s (6.7%)

Accuracy

Total 5.6b remaining (42.8%)

Threshold costs 0b (0%)

Counts

213 → 1

Compiler

Compiled 37720 to 26502 computations (29.7% saved)

simplify2.0ms (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)

sample15.1s (61.1%)

Algorithm

1×

intervals

Results

4.1s	1147×	body	4096	invalid
3.1s	3922×	body	1024	valid
2.5s	1097×	body	2048	invalid
1.2s	957×	body	2048	valid
1.1s	445×	body	4096	valid
706.0ms	1373×	body	512	valid
555.0ms	703×	body	1024	invalid
254.0ms	504×	body	512	invalid
201.0ms	466×	body	256	valid
177.0ms	1067×	body	128	invalid
162.0ms	837×	body	128	valid
95.0ms	286×	body	256	invalid

Compiler

Compiled 581 to 402 computations (30.8% saved)

Details

analyze3.6s (14.6%)

sample623.0ms (2.5%)

simplify35.0ms (0.1%)

prune4.0ms (0%)

localize17.0ms (0.1%)

series569.0ms (2.3%)

rewrite86.0ms (0.4%)

simplify192.0ms (0.8%)

prune392.0ms (1.6%)

localize14.0ms (0.1%)

series255.0ms (1%)

rewrite43.0ms (0.2%)

simplify100.0ms (0.4%)

prune451.0ms (1.8%)

localize15.0ms (0.1%)

series235.0ms (1%)

rewrite27.0ms (0.1%)

simplify79.0ms (0.3%)

prune372.0ms (1.5%)

localize16.0ms (0.1%)

series223.0ms (0.9%)

rewrite35.0ms (0.1%)

simplify122.0ms (0.5%)

prune415.0ms (1.7%)

regimes1.7s (6.7%)

simplify2.0ms (0%)

end1.0ms (0%)

sample15.1s (61.1%)

Profiling