Details

analyze3.6s (12.3%)

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)

sample18.1s (61.7%)

Results

5.2s	1304×	body	4096	invalid
4.0s	4000×	body	1024	valid
3.0s	1133×	body	2048	invalid
1.7s	1055×	body	2048	valid
1.3s	476×	body	4096	valid
982.0ms	1420×	body	512	valid
672.0ms	660×	body	1024	invalid
333.0ms	506×	body	512	invalid
289.0ms	502×	body	256	valid
269.0ms	1032×	body	128	invalid
210.0ms	803×	body	128	valid
157.0ms	347×	body	256	invalid

Compiler

Compiled 86 to 65 computations (24.4% 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

41.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	41.8b	(/.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
✓	1.1b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	1.3b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	17.0b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	29.3b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

series425.0ms (1.4%)

Counts

4 → 132

Calls

4 calls:

153.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
144.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
90.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
38.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite102.0ms (0.3%)

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:

51.0ms	(.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))
10.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
5.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify214.0ms (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

prune440.0ms (1.5%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	250	18	268
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	251	18	269

Error

17.4b

Counts

269 → 18

Alt Table

Status	Error	Program
	41.8b	(/.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)))
	57.6b	(/.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)))
	60.5b	(/.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))))
	46.2b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 k 2)) (pow.f64 (/.f64 1 t) 2)))
	42.2b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (sin.f64 k)) (pow.f64 (/.f64 k t) 2)) (.f64 (*.f64 l l) (cos.f64 k))))
	48.5b	(/.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)))
	52.9b	(/.f64 2 (.f64 (.f64 k (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (*.f64 l l))) (tan.f64 k))) (pow.f64 (/.f64 (sqrt.f64 k) t) 2)))
	60.1b	(/.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))) (log.f64 (pow.f64 (/.f64 k t) 2)))))
	34.4b	(/.f64 2 (fma.f64 1/6 (/.f64 (.f64 t (pow.f64 k 6)) (.f64 l l)) (/.f64 (.f64 t (pow.f64 k 4)) (.f64 l l))))
	50.9b	(/.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))) (log.f64 (pow.f64 (/.f64 k t) 2)))))
	42.1b	(/.f64 2 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2))))
	47.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
▶	25.8b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	45.3b	(/.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)))
	38.8b	(/.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)))
	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)))
	60.1b	(/.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))))

Compiler

Compiled 8868 to 4663 computations (47.4% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
✓	1.4b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	6.6b	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	22.8b	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))

series476.0ms (1.6%)

Counts

4 → 48

Calls

4 calls:

258.0ms	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
156.0ms	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))
42.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
21.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

rewrite76.0ms (0.3%)

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:

13.0ms	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
10.0ms	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))
8.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
5.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

simplify179.0ms (0.6%)

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

prune529.0ms (1.8%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	247	16	263
Fresh	11	6	17
Picked	1	0	1
Done	0	0	0
Total	259	22	281

Error

13.4b

Counts

281 → 22

Alt Table

Status	Error	Program
	57.6b	(/.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)))
	25.9b	(/.f64 (/.f64 2 (.f64 (cbrt.f64 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (pow.f64 l 2)))) (cbrt.f64 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (pow.f64 l 2)))))) (cbrt.f64 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (pow.f64 l 2)))))
	25.7b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	42.1b	(/.f64 2 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2))))
	25.0b	(/.f64 2 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2))))
	32.6b	(.f64 (sqrt.f64 (/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (pow.f64 l 2))))) (sqrt.f64 (/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))))
	25.8b	(/.f64 2 (/.f64 (.f64 (.f64 (pow.f64 k 2) t) (pow.f64 (sin.f64 k) 2)) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	32.4b	(.f64 (/.f64 (.f64 l l) t) (-.f64 (/.f64 2 (pow.f64 k 4)) (/.f64 1/3 (*.f64 k k))))
	45.3b	(/.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)))
	59.0b	(exp.f64 (-.f64 (log.f64 2) (-.f64 (log.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))) (+.f64 (log.f64 (cos.f64 k)) (*.f64 (log.f64 l) 2)))))
	25.9b	(/.f64 2 (/.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 k 2)) (cbrt.f64 (pow.f64 k 2))) (.f64 (cbrt.f64 (pow.f64 k 2)) (.f64 t (pow.f64 (sin.f64 k) 2)))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	48.5b	(/.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)))
	25.3b	(/.f64 2 (/.f64 (pow.f64 k 2) (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	57.3b	(/.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)))))
	57.3b	(/.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)))
	25.6b	(.f64 (/.f64 (sqrt.f64 2) (/.f64 (.f64 k k) (cos.f64 k))) (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	25.7b	(.f64 (/.f64 2 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))
	47.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
▶	23.9b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	25.7b	(.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)))
	26.0b	(.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)))

Compiler

Compiled 8747 to 5444 computations (37.8% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 k) 2)
✓	0.5b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	1.4b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	22.8b	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))

series426.0ms (1.4%)

Counts

3 → 76

Calls

3 calls:

260.0ms

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

161.0ms

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

4.0ms

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

rewrite56.0ms (0.2%)

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:

14.0ms

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

13.0ms

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

2.0ms

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

simplify153.0ms (0.5%)

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

prune543.0ms (1.8%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	233	5	238
Fresh	5	16	21
Picked	1	0	1
Done	0	0	0
Total	239	21	260

Error

12.4b

Counts

260 → 21

Alt Table

Status	Error	Program
	24.1b	(/.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))))
	23.9b	(/.f64 2 (/.f64 (/.f64 (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))) (cos.f64 k)) (pow.f64 l 2)))
	25.0b	(/.f64 2 (.f64 (/.f64 (pow.f64 k 2) (cos.f64 k)) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2))))
	32.6b	(.f64 (sqrt.f64 (/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (pow.f64 l 2))))) (sqrt.f64 (/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))))
	21.5b	(/.f64 2 (/.f64 k (/.f64 (cos.f64 k) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 l l)))))
	47.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	25.8b	(/.f64 2 (/.f64 (.f64 (.f64 (pow.f64 k 2) t) (pow.f64 (sin.f64 k) 2)) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	32.4b	(.f64 (/.f64 (.f64 l l) t) (-.f64 (/.f64 2 (pow.f64 k 4)) (/.f64 1/3 (*.f64 k k))))
	45.3b	(/.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)))
	59.0b	(exp.f64 (-.f64 (log.f64 2) (-.f64 (log.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))) (+.f64 (log.f64 (cos.f64 k)) (*.f64 (log.f64 l) 2)))))
	25.9b	(/.f64 2 (/.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 k 2)) (cbrt.f64 (pow.f64 k 2))) (.f64 (cbrt.f64 (pow.f64 k 2)) (.f64 t (pow.f64 (sin.f64 k) 2)))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	48.5b	(/.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)))
	57.3b	(/.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)))))
	26.9b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (cbrt.f64 (.f64 (.f64 (pow.f64 (sin.f64 k) 2) (pow.f64 (sin.f64 k) 2)) (pow.f64 (sin.f64 k) 2)))))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	57.3b	(/.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)))
	25.6b	(.f64 (/.f64 (sqrt.f64 2) (/.f64 (.f64 k k) (cos.f64 k))) (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	57.6b	(/.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)))
▶	21.5b	(.f64 (/.f64 (cos.f64 k) k) (/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 l l))))
	25.7b	(.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)))
	26.0b	(.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)))

Compiler

Compiled 8115 to 4761 computations (41.3% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 l l)))
	1.4b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	4.3b	(.f64 (/.f64 (cos.f64 k) k) (/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 l l))))
✓	18.4b	(/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 l l))

series550.0ms (1.9%)

Counts

3 → 108

Calls

3 calls:

252.0ms

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

190.0ms

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

108.0ms

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

rewrite66.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

225×	`add-exp-log_binary64`
137×	`add-cbrt-cube_binary64`
100×	`prod-exp_binary64`
85×	`div-exp_binary64`
53×	`cbrt-undiv_binary64`

Counts

3 → 176

Calls

3 calls:

17.0ms

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

8.0ms

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

7.0ms

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

simplify214.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

387×	`times-frac_binary64`
303×	`fma-def_binary64`
294×	`associate-/l*_binary64`
268×	`associate-r_binary64`
257×	`associate-/r*_binary64`

Counts

284 → 254

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	329	9245
1	838	7627
2	3519	7576
3	4831	7572
4	5032	7572

prune611.0ms (2.1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	287	12	299
Fresh	11	9	20
Picked	1	0	1
Done	0	0	0
Total	299	21	320

Error

5.2b

Counts

320 → 21

Alt Table

Status	Error	Program
	9.4b	(.f64 (/.f64 (cos.f64 k) k) (/.f64 (/.f64 2 (/.f64 k l)) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	9.3b	(.f64 (/.f64 (cos.f64 k) k) (/.f64 2 (/.f64 (.f64 (/.f64 k l) (*.f64 t (pow.f64 (sin.f64 k) 2))) l)))
	11.4b	(.f64 (.f64 (/.f64 (cos.f64 k) k) (/.f64 l k)) (/.f64 2 (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	12.0b	(.f64 (.f64 (/.f64 (cos.f64 k) k) (/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (/.f64 k l))) (/.f64 (cbrt.f64 2) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	58.3b	(.f64 (/.f64 (cos.f64 k) k) (/.f64 2 (fma.f64 2/45 (/.f64 (.f64 t (pow.f64 k 7)) (.f64 l l)) (fma.f64 (/.f64 (pow.f64 k 3) l) (/.f64 t l) (fma.f64 (/.f64 (.f64 t (pow.f64 k 9)) (.f64 l l)) -1/315 (.f64 (/.f64 (.f64 t (pow.f64 k 5)) (.f64 l l)) -1/3))))))
	25.8b	(/.f64 2 (/.f64 (.f64 (.f64 (pow.f64 k 2) t) (pow.f64 (sin.f64 k) 2)) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	32.4b	(.f64 (/.f64 (.f64 l l) t) (-.f64 (/.f64 2 (pow.f64 k 4)) (/.f64 1/3 (*.f64 k k))))
	45.3b	(/.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)))
	25.9b	(/.f64 2 (/.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 k 2)) (cbrt.f64 (pow.f64 k 2))) (.f64 (cbrt.f64 (pow.f64 k 2)) (.f64 t (pow.f64 (sin.f64 k) 2)))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	21.5b	(.f64 (/.f64 (cos.f64 k) k) (/.f64 2 (/.f64 (.f64 k (.f64 (.f64 t (sin.f64 k)) (sin.f64 k))) (*.f64 l l))))
	14.1b	(.f64 (/.f64 (cos.f64 k) k) (/.f64 2 (/.f64 (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) l) l)))
	11.4b	(.f64 (.f64 (/.f64 (cos.f64 k) k) (/.f64 1 (/.f64 k l))) (/.f64 2 (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	48.5b	(/.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)))
	26.9b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (cbrt.f64 (.f64 (.f64 (pow.f64 (sin.f64 k) 2) (pow.f64 (sin.f64 k) 2)) (pow.f64 (sin.f64 k) 2)))))) (.f64 (cos.f64 k) (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)))
	25.6b	(.f64 (/.f64 (sqrt.f64 2) (/.f64 (.f64 k k) (cos.f64 k))) (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	23.8b	(.f64 (.f64 (/.f64 (cos.f64 k) k) (/.f64 2 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))) (*.f64 l l))
	21.7b	(.f64 (/.f64 (cos.f64 k) k) (.f64 (/.f64 2 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (*.f64 l l)))
	47.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	9.6b	(.f64 (/.f64 (cos.f64 k) k) (.f64 (/.f64 1 (/.f64 k l)) (/.f64 2 (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) l))))
	11.5b	(.f64 (.f64 (/.f64 (cos.f64 k) k) (/.f64 (sqrt.f64 2) (/.f64 k l))) (/.f64 (sqrt.f64 2) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) l)))

Compiler

Compiled 9553 to 4562 computations (52.2% saved)

regimes2.1s (7.2%)

Accuracy

Total 3.5b remaining (44.2%)

Threshold costs 0b (0%)

Counts

281 → 1

Compiler

Compiled 49658 to 35244 computations (29% saved)

simplify2.0ms (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

end345.0ms (1.2%)

Compiler: Compiled 600 to 418 computations (30.3% saved)

Details

analyze3.6s (12.3%)

sample18.1s (61.7%)

simplify36.0ms (0.1%)

prune4.0ms (0%)

localize17.0ms (0.1%)

series425.0ms (1.4%)

rewrite102.0ms (0.3%)

simplify214.0ms (0.7%)

prune440.0ms (1.5%)

localize15.0ms (0%)

series476.0ms (1.6%)

rewrite76.0ms (0.3%)

simplify179.0ms (0.6%)

prune529.0ms (1.8%)

localize15.0ms (0.1%)

series426.0ms (1.4%)

rewrite56.0ms (0.2%)

simplify153.0ms (0.5%)

prune543.0ms (1.8%)

localize14.0ms (0%)

series550.0ms (1.9%)

rewrite66.0ms (0.2%)

simplify214.0ms (0.7%)

prune611.0ms (2.1%)

regimes2.1s (7.2%)

simplify2.0ms (0%)

end345.0ms (1.2%)

Profiling