Details

analyze3.4s (10.3%)

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)

sample17.8s (54.4%)

Results

5.2s	1261×	body	4096	invalid
3.9s	4004×	body	1024	valid
2.8s	1123×	body	2048	invalid
1.6s	1053×	body	2048	valid
1.3s	484×	body	4096	valid
976.0ms	1449×	body	512	valid
732.0ms	739×	body	1024	invalid
387.0ms	519×	body	512	invalid
258.0ms	1047×	body	128	invalid
223.0ms	485×	body	256	valid
199.0ms	781×	body	128	valid
160.0ms	341×	body	256	invalid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify39.0ms (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

38.7b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	38.7b	(/.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)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.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))
✓	16.1b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	26.1b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

series386.0ms (1.2%)

Counts

4 → 132

Calls

4 calls:

145.0ms	(.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))
75.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
36.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite62.0ms (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:

16.0ms	(.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 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
8.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
5.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify201.0ms (0.6%)

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 (1.1%)

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

14.4b

Counts

269 → 13

Alt Table

Status	Error	Program
	29.4b	(/.f64 2 (/.f64 (*.f64 (pow.f64 k 4) t) (pow.f64 l 2)))
	46.2b	(/.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)))
	32.2b	(/.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)))
	32.2b	(/.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)))
	59.5b	(/.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))))
	32.4b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) 3) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	39.0b	(/.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))))
	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)))))
	46.6b	(/.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)))
	38.5b	(/.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)))
▶	21.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	49.4b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (*.f64 l l))) (tan.f64 k)) (/.f64 k t)) (pow.f64 (sqrt.f64 (/.f64 k t)) 2)))
	36.2b	(/.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)))

Compiler

Compiled 8554 to 4429 computations (48.2% saved)

localize14.0ms (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))))
✓	1.3b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	6.3b	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	19.0b	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))

series432.0ms (1.3%)

Counts

4 → 48

Calls

4 calls:

229.0ms	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
144.0ms	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))
38.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
20.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

rewrite79.0ms (0.2%)

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

simplify164.0ms (0.5%)

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

prune484.0ms (1.5%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	250	13	263
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	255	21	276

Error

10.6b

Counts

276 → 21

Alt Table

Status	Error	Program
▶	19.8b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	46.6b	(/.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)))
	21.4b	(.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)))
	32.2b	(/.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)))
	32.2b	(/.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)))
	21.6b	(.f64 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))) (/.f64 (sqrt.f64 2) (/.f64 1 (.f64 (cos.f64 k) (pow.f64 l 2)))))
	49.4b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (*.f64 l l))) (tan.f64 k)) (/.f64 k t)) (pow.f64 (sqrt.f64 (/.f64 k t)) 2)))
	55.4b	(/.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)))))
	20.1b	(/.f64 (/.f64 2 (/.f64 (pow.f64 k 2) (cos.f64 k))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2)))
	59.5b	(/.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))))
	32.4b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) 3) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	20.6b	(/.f64 2 (/.f64 (pow.f64 k 2) (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	29.1b	(.f64 (/.f64 (.f64 l l) t) (-.f64 (/.f64 2 (pow.f64 k 4)) (/.f64 1/3 (*.f64 k k))))
	21.9b	(.f64 (/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (/.f64 (.f64 k k) (cos.f64 k))) (/.f64 (cbrt.f64 2) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (.f64 l l) t))))
	42.1b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 (.f64 (sin.f64 k) (sqrt.f64 t)) (.f64 (sin.f64 k) (sqrt.f64 t)))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	36.2b	(/.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)))
	41.7b	(/.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))))
	20.4b	(/.f64 2 (/.f64 (.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)))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	46.2b	(/.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)))
	21.7b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	21.5b	(/.f64 2 (/.f64 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)) (pow.f64 l 2)))

Compiler

Compiled 8611 to 5320 computations (38.2% saved)

localize15.0ms (0%)

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))))
	1.3b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	19.0b	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))

series371.0ms (1.1%)

Counts

3 → 76

Calls

3 calls:

229.0ms

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

138.0ms

(/.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)

rewrite47.0ms (0.1%)

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:

11.0ms

(/.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)))

2.0ms

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

simplify139.0ms (0.4%)

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

prune430.0ms (1.3%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	231	7	238
Fresh	8	12	20
Picked	1	0	1
Done	0	0	0
Total	240	19	259

Error

9.3b

Counts

259 → 19

Alt Table

Status	Error	Program
	17.3b	(.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))))
	46.6b	(/.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)))
▶	17.2b	(/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))
	17.5b	(/.f64 2 (/.f64 k (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	46.2b	(/.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)))
	32.2b	(/.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)))
	32.2b	(/.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)))
	59.5b	(/.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))))
	32.4b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) 3) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	21.9b	(.f64 (/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (/.f64 (.f64 k k) (cos.f64 k))) (/.f64 (cbrt.f64 2) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (.f64 l l) t))))
	36.2b	(/.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)))
	19.9b	(/.f64 (sqrt.f64 2) (/.f64 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))) (sqrt.f64 2)))
	19.6b	(.f64 (/.f64 2 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))) (*.f64 (cos.f64 k) (pow.f64 l 2)))
	19.8b	(/.f64 2 (/.f64 (/.f64 (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))) (cos.f64 k)) (pow.f64 l 2)))
	55.4b	(/.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)))))
	21.7b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	20.3b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (exp.f64 (log.f64 (pow.f64 (sin.f64 k) 2)))))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	20.6b	(/.f64 2 (/.f64 (pow.f64 k 2) (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	21.5b	(/.f64 2 (/.f64 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)) (pow.f64 l 2)))

Compiler

Compiled 7947 to 4623 computations (41.8% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 2 (/.f64 k (cos.f64 k)))
	1.3b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	2.7b	(/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))
✓	16.6b	(/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))

series323.0ms (1%)

Counts

3 → 52

Calls

3 calls:

228.0ms

(/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (/.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))

3.0ms

(/.f64 2 (/.f64 k (cos.f64 k)))

rewrite208.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

1829×	`times-frac_binary64`
639×	`*-un-lft-identity_binary64`
639×	`add-sqr-sqrt_binary64`
639×	`add-cube-cbrt_binary64`
279×	`add-exp-log_binary64`

Counts

3 → 777

Calls

3 calls:

23.0ms

(/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (/.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))

4.0ms

(/.f64 2 (/.f64 k (cos.f64 k)))

simplify1.0s (3.2%)

Algorithm

1×	egg-herbie

Rules

860×	`associate-/l/_binary64`
835×	`times-frac_binary64`
756×	`associate-/r/_binary64`
104×	`associate-/r*_binary64`
98×	`fma-def_binary64`

Counts

829 → 1209

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	1284	39260
1	3564	36143
2	4631	36141
3	4712	36067
4	4973	36067
5	4922	36067

prune2.7s (8.4%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	1240	14	1254
Fresh	11	7	18
Picked	1	0	1
Done	0	0	0
Total	1252	21	1273

Error

2.3b

Counts

1273 → 21

Alt Table

Status	Error	Program
	5.5b	(.f64 (/.f64 (.f64 (cbrt.f64 (cos.f64 k)) (cbrt.f64 (cos.f64 k))) (/.f64 k l)) (/.f64 (.f64 (/.f64 2 k) (cbrt.f64 (cos.f64 k))) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	7.2b	(.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 (cbrt.f64 (/.f64 k (cos.f64 k))) (cbrt.f64 (/.f64 k (cos.f64 k))))) (/.f64 k l)) (/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (/.f64 k (cos.f64 k)))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	17.5b	(.f64 (/.f64 (sqrt.f64 2) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (/.f64 (sqrt.f64 2) (/.f64 k (cos.f64 k))) (*.f64 l l)))
	17.2b	(/.f64 (.f64 2 (/.f64 (cos.f64 k) k)) (/.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))
	35.0b	(.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (/.f64 (sqrt.f64 k) (.f64 (cbrt.f64 (cos.f64 k)) (cbrt.f64 (cos.f64 k))))) (/.f64 k l)) (/.f64 (/.f64 (cbrt.f64 2) (/.f64 (sqrt.f64 k) (cbrt.f64 (cos.f64 k)))) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	21.7b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	35.2b	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 2 (/.f64 k (cos.f64 k)))) (cbrt.f64 (/.f64 2 (/.f64 k (cos.f64 k))))) (/.f64 k (pow.f64 (sqrt.f64 l) 2))) (/.f64 (cbrt.f64 (/.f64 2 (/.f64 k (cos.f64 k)))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 (sqrt.f64 l) 2))))
	20.3b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (exp.f64 (log.f64 (pow.f64 (sin.f64 k) 2)))))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	20.6b	(/.f64 2 (/.f64 (pow.f64 k 2) (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	55.5b	(/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (fma.f64 (/.f64 (pow.f64 k 3) l) (/.f64 t l) (.f64 -1/3 (/.f64 (.f64 t (pow.f64 k 5)) (*.f64 l l)))))
	8.5b	(.f64 (/.f64 (/.f64 2 k) (/.f64 k l)) (/.f64 (cos.f64 k) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	7.0b	(.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 k) (cbrt.f64 k))) (/.f64 k l)) (/.f64 (/.f64 2 (/.f64 (cbrt.f64 k) (cos.f64 k))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	5.6b	(.f64 (/.f64 (sqrt.f64 2) (/.f64 k l)) (/.f64 (/.f64 (sqrt.f64 2) (/.f64 k (cos.f64 k))) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	46.6b	(/.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)))
	17.0b	(/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (/.f64 (.f64 k (.f64 (*.f64 t (sin.f64 k)) (sin.f64 k))) (pow.f64 l 2)))
	8.5b	(/.f64 (/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (/.f64 k l)) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) l))
	46.2b	(/.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)))
	19.8b	(/.f64 2 (/.f64 (/.f64 (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))) (cos.f64 k)) (pow.f64 l 2)))
	32.2b	(/.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)))
	5.5b	(.f64 (/.f64 (/.f64 (sqrt.f64 2) (/.f64 1 (.f64 (cbrt.f64 (cos.f64 k)) (cbrt.f64 (cos.f64 k))))) (/.f64 k l)) (/.f64 (/.f64 (sqrt.f64 2) (/.f64 k (cbrt.f64 (cos.f64 k)))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	7.0b	(.f64 (/.f64 (.f64 (cbrt.f64 (.f64 (/.f64 2 k) (cos.f64 k))) (cbrt.f64 (.f64 (/.f64 2 k) (cos.f64 k)))) (/.f64 k l)) (/.f64 (cbrt.f64 (.f64 (/.f64 2 k) (cos.f64 k))) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) l)))

Compiler

Compiled 44900 to 23353 computations (48% saved)

regimes3.6s (10.9%)

Accuracy

Total 2.1b remaining (31.6%)

Threshold costs 0b (0%)

Counts

347 → 3

Compiler

Compiled 62733 to 44287 computations (29.4% saved)

bsearch18.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	114
1	47	114
2	46	114

end400.0ms (1.2%)

Compiler: Compiled 765 to 503 computations (34.2% saved)

Details

analyze3.4s (10.3%)

sample17.8s (54.4%)

simplify39.0ms (0.1%)

prune4.0ms (0%)

localize15.0ms (0%)

series386.0ms (1.2%)

rewrite62.0ms (0.2%)

simplify201.0ms (0.6%)

prune351.0ms (1.1%)

localize14.0ms (0%)

series432.0ms (1.3%)

rewrite79.0ms (0.2%)

simplify164.0ms (0.5%)

prune484.0ms (1.5%)

localize15.0ms (0%)

series371.0ms (1.1%)

rewrite47.0ms (0.1%)

simplify139.0ms (0.4%)

prune430.0ms (1.3%)

localize14.0ms (0%)

series323.0ms (1%)

rewrite208.0ms (0.6%)

simplify1.0s (3.2%)

prune2.7s (8.4%)

regimes3.6s (10.9%)

bsearch18.0ms (0.1%)

simplify3.0ms (0%)

end400.0ms (1.2%)

Profiling