Details

analyze3.6s (12.1%)

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
2.7%	97.1%	0.1%	10
4.1%	95.8%	0.1%	11
4.4%	95.5%	0.1%	12
6.6%	93.3%	0.1%	13
7.7%	92.2%	0.1%	14

Compiler

Compiled 29 to 22 computations (24.1% saved)

sample16.5s (55.1%)

Results

6.3s	1085×	body	4096	valid
4.3s	2841×	body	1024	valid
3.8s	1260×	body	2048	valid
1.0s	1114×	body	512	valid
564.0ms	1476×	body	128	valid
352.0ms	480×	body	256	valid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify52.0ms (0.2%)

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

prune7.0ms (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

35.7b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	35.7b	(/.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)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.1b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	2.5b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	15.9b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	19.8b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

series700.0ms (2.3%)

Counts

4 → 132

Calls

4 calls:

280.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
231.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
130.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
59.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite106.0ms (0.4%)

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:

26.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
14.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
14.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
9.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify323.0ms (1.1%)

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

prune442.0ms (1.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	257	11	268
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	258	11	269

Error

8.7b

Counts

269 → 11

Alt Table

Status	Error	Program
	43.4b	(/.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)))
	29.2b	(/.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)))
	21.9b	(/.f64 2 (/.f64 (*.f64 (pow.f64 k 4) t) (pow.f64 l 2)))
	56.2b	(/.f64 2 (exp.f64 (+.f64 (log.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))) (.f64 (-.f64 (log.f64 k) (log.f64 t)) 2))))
	58.0b	(/.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))))
	33.1b	(/.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)))
	30.4b	(/.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)))
	45.6b	(/.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)))
	45.8b	(/.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)))
▶	15.2b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	43.4b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (.f64 l l))) (tan.f64 k)) (.f64 k (cbrt.f64 k))) (pow.f64 (/.f64 (cbrt.f64 k) t) 2)))

Compiler

Compiled 8442 to 4359 computations (48.4% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
✓	3.6b	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	3.7b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	13.6b	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))

series782.0ms (2.6%)

Counts

4 → 48

Calls

4 calls:

447.0ms	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
247.0ms	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))
59.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
29.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

rewrite153.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

461×	`add-exp-log_binary64`
270×	`prod-exp_binary64`
157×	`div-exp_binary64`
90×	`pow-exp_binary64`
90×	`pow-to-exp_binary64`

Counts

4 → 231

Calls

4 calls:

26.0ms	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
20.0ms	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))
12.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
12.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

simplify316.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

544×	`associate-/l/_binary64`
395×	`fma-def_binary64`
377×	`times-frac_binary64`
265×	`associate-r_binary64`
231×	`associate-/r*_binary64`

Counts

279 → 263

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	302	8609
1	668	7590
2	2929	7535
3	5188	7535

prune731.0ms (2.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	254	9	263
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	260	14	274

Error

6.7b

Counts

274 → 14

Alt Table

Status	Error	Program
	15.6b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	15.2b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
▶	13.8b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	35.9b	(.f64 (/.f64 (.f64 l l) t) (-.f64 (/.f64 2 (pow.f64 k 4)) (/.f64 1/3 (*.f64 k k))))
	43.4b	(/.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)))
	29.2b	(/.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)))
	45.8b	(/.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)))
	15.3b	(.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (.f64 (*.f64 l l) (cos.f64 k)) (sqrt.f64 2)))
	52.4b	(exp.f64 (-.f64 (log.f64 2) (-.f64 (+.f64 (.f64 (log.f64 k) 2) (log.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))) (log.f64 (*.f64 (cos.f64 k) (pow.f64 l 2))))))
	15.0b	(/.f64 2 (/.f64 (pow.f64 k 2) (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	33.1b	(/.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)))
	30.4b	(/.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)))
	52.0b	(/.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)))))
	57.0b	(/.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)))))

Compiler

Compiled 8211 to 5048 computations (38.5% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (sin.f64 k) 2)
✓	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))))
	3.7b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	13.6b	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))

series617.0ms (2.1%)

Counts

3 → 76

Calls

3 calls:

423.0ms

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

186.0ms

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

8.0ms

(pow.f64 (sin.f64 k) 2)

rewrite92.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

238×	`add-exp-log_binary64`
132×	`prod-exp_binary64`
77×	`add-cbrt-cube_binary64`
73×	`div-exp_binary64`
32×	`cbrt-unprod_binary64`

Counts

3 → 137

Calls

3 calls:

23.0ms

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

19.0ms

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

3.0ms

(pow.f64 (sin.f64 k) 2)

simplify285.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

673×	`associate-/l/_binary64`
509×	`times-frac_binary64`
289×	`associate-/r*_binary64`
256×	`associate-r_binary64`
252×	`associate-/l*_binary64`

Counts

213 → 193

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	7204
1	625	6079
2	2861	6049
3	5057	6049

prune674.0ms (2.2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	235	3	238
Fresh	0	13	13
Picked	1	0	1
Done	0	0	0
Total	236	16	252

Error

6.5b

Counts

252 → 16

Alt Table

Status	Error	Program
	15.6b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	15.2b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	35.9b	(.f64 (/.f64 (.f64 l l) t) (-.f64 (/.f64 2 (pow.f64 k 4)) (/.f64 1/3 (*.f64 k k))))
	12.6b	(.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))))
	43.4b	(/.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)))
	29.2b	(/.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)))
▶	12.6b	(/.f64 2 (.f64 (/.f64 k (cos.f64 k)) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))))
	45.8b	(/.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)))
	15.3b	(.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (.f64 (*.f64 l l) (cos.f64 k)) (sqrt.f64 2)))
	52.4b	(exp.f64 (-.f64 (log.f64 2) (-.f64 (+.f64 (.f64 (log.f64 k) 2) (log.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))) (log.f64 (*.f64 (cos.f64 k) (pow.f64 l 2))))))
	15.0b	(/.f64 2 (/.f64 (pow.f64 k 2) (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	33.1b	(/.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)))
	30.4b	(/.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)))
	52.0b	(/.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)))))
	13.8b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 (.f64 t (sin.f64 k)) (sin.f64 k)))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	57.0b	(/.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)))))

Compiler

Compiled 7773 to 4505 computations (42% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 2 (.f64 (/.f64 k (cos.f64 k)) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))))
✓	1.8b	(.f64 (/.f64 k (cos.f64 k)) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))
	3.7b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	13.1b	(/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))

series763.0ms (2.5%)

Counts

3 → 76

Calls

3 calls:

325.0ms

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

262.0ms

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

175.0ms

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

rewrite101.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

352×	`add-exp-log_binary64`
169×	`prod-exp_binary64`
140×	`div-exp_binary64`
86×	`add-cbrt-cube_binary64`
40×	`pow-exp_binary64`

Counts

3 → 192

Calls

3 calls:

18.0ms

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

14.0ms

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

8.0ms

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

simplify409.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

334×	`fma-def_binary64`
259×	`associate-/l*_binary64`
243×	`times-frac_binary64`
240×	`associate-/r*_binary64`
235×	`associate-r_binary64`

Counts

268 → 256

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	325	8627
1	771	7312
2	3161	7275
3	4770	7271
4	4996	7271

prune871.0ms (2.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	294	7	301
Fresh	6	9	15
Picked	1	0	1
Done	0	0	0
Total	301	16	317

Error

1.6b

Counts

317 → 16

Alt Table

Status	Error	Program
	15.6b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	15.2b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	33.1b	(/.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)))
	3.0b	(/.f64 2 (.f64 (/.f64 k (cos.f64 k)) (/.f64 (.f64 (/.f64 k l) (*.f64 t (pow.f64 (sin.f64 k) 2))) l)))
	56.2b	(exp.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 k (cos.f64 k))) (-.f64 (log.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (*.f64 (log.f64 l) 2)))))
	15.3b	(.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (.f64 (*.f64 l l) (cos.f64 k)) (sqrt.f64 2)))
	3.5b	(/.f64 2 (.f64 (/.f64 k (cos.f64 k)) (.f64 (/.f64 k l) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) l))))
	13.8b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 (.f64 t (sin.f64 k)) (sin.f64 k)))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	35.9b	(.f64 (/.f64 (.f64 l l) t) (-.f64 (/.f64 2 (pow.f64 k 4)) (/.f64 1/3 (*.f64 k k))))
	6.2b	(/.f64 2 (.f64 (/.f64 k (cos.f64 k)) (/.f64 (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) l) l)))
	30.4b	(/.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)))
	12.6b	(.f64 (/.f64 2 (.f64 k (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))) (cos.f64 k))
	5.1b	(/.f64 2 (.f64 (.f64 (/.f64 k (cos.f64 k)) (/.f64 k l)) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	6.2b	(/.f64 2 (.f64 (/.f64 k (cos.f64 k)) (.f64 (/.f64 k (.f64 l (cbrt.f64 l))) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 (cbrt.f64 l) 2)))))
	57.0b	(/.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)))))
	52.4b	(exp.f64 (-.f64 (log.f64 2) (-.f64 (+.f64 (.f64 (log.f64 k) 2) (log.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))) (log.f64 (*.f64 (cos.f64 k) (pow.f64 l 2))))))

Compiler

Compiled 8822 to 4651 computations (47.3% saved)

regimes1.9s (6.2%)

Accuracy

Total 1.8b remaining (38.2%)

Threshold costs 0b (0%)

Counts

169 → 1

Compiler

Compiled 27541 to 20142 computations (26.9% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	18	29
2	18	29

end455.0ms (1.5%)

Compiler: Compiled 427 to 305 computations (28.6% saved)

Details

analyze3.6s (12.1%)

sample16.5s (55.1%)

simplify52.0ms (0.2%)

prune7.0ms (0%)

localize31.0ms (0.1%)

series700.0ms (2.3%)

rewrite106.0ms (0.4%)

simplify323.0ms (1.1%)

prune442.0ms (1.5%)

localize30.0ms (0.1%)

series782.0ms (2.6%)

rewrite153.0ms (0.5%)

simplify316.0ms (1.1%)

prune731.0ms (2.4%)

localize27.0ms (0.1%)

series617.0ms (2.1%)

rewrite92.0ms (0.3%)

simplify285.0ms (0.9%)

prune674.0ms (2.2%)

localize28.0ms (0.1%)

series763.0ms (2.5%)

rewrite101.0ms (0.3%)

simplify409.0ms (1.4%)

prune871.0ms (2.9%)

regimes1.9s (6.2%)

simplify3.0ms (0%)

end455.0ms (1.5%)

Profiling