Details

analyze3.6s (10.5%)

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)

sample17.7s (52%)

Results

4.9s	1237×	body	4096	invalid
4.2s	4051×	body	1024	valid
2.9s	1094×	body	2048	invalid
1.5s	1019×	body	2048	valid
1.3s	464×	body	4096	valid
955.0ms	1404×	body	512	valid
645.0ms	686×	body	1024	invalid
371.0ms	544×	body	512	invalid
269.0ms	1073×	body	128	invalid
258.0ms	488×	body	256	valid
212.0ms	830×	body	128	valid
113.0ms	255×	body	256	invalid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify37.0ms (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

40.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	40.4b	(/.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)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	1.0b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	15.4b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	27.3b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

series402.0ms (1.2%)

Counts

4 → 132

Calls

4 calls:

143.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
140.0ms	(.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))
38.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite70.0ms (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))
10.0ms	(.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))
7.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify260.0ms (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

prune452.0ms (1.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	252	16	268
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	253	16	269

Error

18.1b

Counts

269 → 16

Alt Table

Status	Error	Program
	59.7b	(/.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))))
	54.9b	(/.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)))
	61.7b	(/.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)))))
	36.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 1 l) (.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	33.9b	(/.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)))
	39.9b	(/.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)))
	60.9b	(/.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))))
	56.9b	(/.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)))
	40.5b	(/.f64 2 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))) (cbrt.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))) (cbrt.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))))
	47.0b	(/.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)))
	47.4b	(/.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)))
	37.7b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (.f64 l l))) (tan.f64 k)) (.f64 (/.f64 k t) (cbrt.f64 (/.f64 k t)))) (pow.f64 (cbrt.f64 (/.f64 k t)) 2)))
	32.7b	(/.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)))
	34.7b	(/.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))))
	37.4b	(/.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)))
▶	27.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))

Compiler

Compiled 8850 to 4615 computations (47.9% saved)

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
✓	1.3b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	5.9b	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	24.5b	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))

series435.0ms (1.3%)

Counts

4 → 48

Calls

4 calls:

244.0ms	(/.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)))
29.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
17.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

rewrite82.0ms (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 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))

simplify173.0ms (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

prune510.0ms (1.5%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	252	11	263
Fresh	5	10	15
Picked	1	0	1
Done	0	0	0
Total	258	21	279

Error

14.3b

Counts

279 → 21

Alt Table

Status	Error	Program
	26.7b	(/.f64 (/.f64 2 (/.f64 (pow.f64 k 2) (cos.f64 k))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2)))
	54.9b	(/.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)))
	26.4b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	36.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 1 l) (.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	33.9b	(/.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)))
	27.5b	(.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)))
	60.9b	(exp.f64 (-.f64 (log.f64 2) (-.f64 (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))) (+.f64 (log.f64 (cos.f64 k)) (*.f64 (log.f64 l) 2)))))
	60.9b	(/.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))))
	56.9b	(/.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)))
	27.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 (.f64 t (.f64 (sin.f64 k) (cbrt.f64 (sin.f64 k)))) (pow.f64 (cbrt.f64 (sin.f64 k)) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	26.8b	(.f64 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 k 2) (cos.f64 k))) (/.f64 (sqrt.f64 2) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2))))
	26.1b	(/.f64 2 (/.f64 (pow.f64 k 2) (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 t (pow.f64 (sin.f64 k) 2)))))
▶	25.6b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	47.4b	(/.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)))
	37.7b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (.f64 l l))) (tan.f64 k)) (.f64 (/.f64 k t) (cbrt.f64 (/.f64 k t)))) (pow.f64 (cbrt.f64 (/.f64 k t)) 2)))
	27.4b	(/.f64 2 (/.f64 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k)) (pow.f64 l 2)))
	56.4b	(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)))))
	32.7b	(/.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)))
	47.0b	(/.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)))
	56.4b	(/.f64 2 (exp.f64 (-.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)))))
	37.4b	(/.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 8639 to 5342 computations (38.2% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 k) 2)
✓	0.7b	(/.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))
✓	24.5b	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))

series415.0ms (1.2%)

Counts

3 → 76

Calls

3 calls:

244.0ms

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

167.0ms

(/.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)

rewrite55.0ms (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 (*.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))))

6.0ms

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

simplify145.0ms (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

prune507.0ms (1.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	233	5	238
Fresh	6	14	20
Picked	1	0	1
Done	0	0	0
Total	240	19	259

Error

13.1b

Counts

259 → 19

Alt Table

Status	Error	Program
	26.7b	(/.f64 (/.f64 2 (/.f64 (pow.f64 k 2) (cos.f64 k))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2)))
	56.2b	(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)))))
	54.9b	(/.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)))
	26.4b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	36.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 1 l) (.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	33.9b	(/.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)))
	27.5b	(.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)))
	60.9b	(exp.f64 (-.f64 (log.f64 2) (-.f64 (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))) (+.f64 (log.f64 (cos.f64 k)) (*.f64 (log.f64 l) 2)))))
	60.9b	(/.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))))
	25.6b	(/.f64 2 (/.f64 (.f64 (/.f64 k (cos.f64 k)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))) (pow.f64 l 2)))
	56.9b	(/.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)))
	27.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 (.f64 t (.f64 (sin.f64 k) (cbrt.f64 (sin.f64 k)))) (pow.f64 (cbrt.f64 (sin.f64 k)) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	22.7b	(.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))))
	32.7b	(/.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)))
▶	22.4b	(/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))
	47.0b	(/.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)))
	56.4b	(/.f64 2 (exp.f64 (-.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)))))
	22.8b	(.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))))
	47.4b	(/.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)))

Compiler

Compiled 7991 to 4657 computations (41.7% saved)

localize16.0ms (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))
✓	4.7b	(/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))
✓	18.6b	(/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))

series344.0ms (1%)

Counts

3 → 52

Calls

3 calls:

243.0ms

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

98.0ms

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

3.0ms

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

rewrite212.0ms (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:

22.0ms

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

9.0ms

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

6.0ms

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

simplify1.1s (3.3%)

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

prune3.2s (9.3%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	1235	19	1254
Fresh	13	5	18
Picked	1	0	1
Done	0	0	0
Total	1249	24	1273

Error

3.6b

Counts

1273 → 24

Alt Table

Status	Error	Program
	59.5b	(/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (exp.f64 (-.f64 (+.f64 (log.f64 k) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))) (.f64 (log.f64 l) 2))))
	60.9b	(exp.f64 (-.f64 (log.f64 2) (-.f64 (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))) (+.f64 (log.f64 (cos.f64 k)) (*.f64 (log.f64 l) 2)))))
	38.3b	(.f64 (/.f64 (/.f64 (sqrt.f64 2) k) (/.f64 k (pow.f64 (sqrt.f64 l) 2))) (/.f64 (/.f64 (sqrt.f64 2) (/.f64 1 (cos.f64 k))) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 (sqrt.f64 l) 2))))
	33.5b	(.f64 (/.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 k))) (/.f64 k (pow.f64 (cbrt.f64 l) 4))) (/.f64 (/.f64 (sqrt.f64 2) (/.f64 k (sqrt.f64 (cos.f64 k)))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 (cbrt.f64 l) 2))))
	25.2b	(/.f64 (.f64 (/.f64 2 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))) (/.f64 (cos.f64 k) k)) (/.f64 1 (pow.f64 l 2)))
	12.0b	(.f64 (/.f64 (/.f64 2 k) (/.f64 k l)) (/.f64 (cos.f64 k) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	9.7b	(/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (.f64 (/.f64 k l) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	7.6b	(.f64 (/.f64 1 (/.f64 k l)) (/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	32.7b	(/.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)))
	22.4b	(/.f64 (/.f64 (/.f64 2 k) (/.f64 1 (cos.f64 k))) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))
	8.1b	(.f64 (/.f64 (.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (.f64 (cbrt.f64 (cos.f64 k)) (cbrt.f64 (cos.f64 k)))) (/.f64 k l)) (/.f64 (/.f64 (cbrt.f64 2) (/.f64 k (cbrt.f64 (cos.f64 k)))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	47.0b	(/.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)))
	9.4b	(.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)))
	12.5b	(.f64 (/.f64 (/.f64 (sqrt.f64 2) (/.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) (.f64 (cbrt.f64 (cos.f64 k)) (cbrt.f64 (cos.f64 k))))) (/.f64 k (pow.f64 (cbrt.f64 l) 4))) (/.f64 (/.f64 (sqrt.f64 2) (/.f64 (cbrt.f64 k) (cbrt.f64 (cos.f64 k)))) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 (cbrt.f64 l) 2))))
	47.4b	(/.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)))
	9.4b	(.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)))
	26.4b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	22.6b	(/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (/.f64 (.f64 k (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (pow.f64 (sin.f64 k) 2) (cbrt.f64 t)))) (pow.f64 l 2)))
	22.1b	(/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (/.f64 (.f64 k (.f64 (*.f64 t (sin.f64 k)) (sin.f64 k))) (pow.f64 l 2)))
	9.7b	(.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2)) (.f64 (cbrt.f64 (/.f64 k (cos.f64 k))) (cbrt.f64 (/.f64 k (cos.f64 k))))) (/.f64 k l)) (/.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 k (cos.f64 k)))) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) l)))
	11.3b	(.f64 (/.f64 1 (/.f64 k (pow.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l)) 2))) (/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 (cbrt.f64 l) 2))))
	14.5b	(/.f64 (/.f64 2 (/.f64 k (cos.f64 k))) (/.f64 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) l) l))
	7.6b	(.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)))
	12.5b	(.f64 (/.f64 (/.f64 1 (.f64 (cbrt.f64 k) (cbrt.f64 k))) (/.f64 k (pow.f64 (cbrt.f64 l) 4))) (/.f64 (/.f64 2 (/.f64 (cbrt.f64 k) (cos.f64 k))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 (cbrt.f64 l) 2))))

Compiler

Compiled 45008 to 23435 computations (47.9% saved)

regimes3.8s (11.3%)

Accuracy

Total 3.3b remaining (48.5%)

Threshold costs 0b (0%)

Counts

480 → 1

Compiler

Compiled 89879 to 63678 computations (29.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	32
1	23	32
2	22	32

end438.0ms (1.3%)

Compiler: Compiled 765 to 525 computations (31.4% saved)

Details

analyze3.6s (10.5%)

sample17.7s (52%)

simplify37.0ms (0.1%)

prune4.0ms (0%)

localize18.0ms (0.1%)

series402.0ms (1.2%)

rewrite70.0ms (0.2%)

simplify260.0ms (0.8%)

prune452.0ms (1.3%)

localize17.0ms (0%)

series435.0ms (1.3%)

rewrite82.0ms (0.2%)

simplify173.0ms (0.5%)

prune510.0ms (1.5%)

localize24.0ms (0.1%)

series415.0ms (1.2%)

rewrite55.0ms (0.2%)

simplify145.0ms (0.4%)

prune507.0ms (1.5%)

localize16.0ms (0%)

series344.0ms (1%)

rewrite212.0ms (0.6%)

simplify1.1s (3.3%)

prune3.2s (9.3%)

regimes3.8s (11.3%)

simplify2.0ms (0%)

end438.0ms (1.3%)

Profiling