Details

analyze3.4s (11.9%)

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)

sample16.8s (59.4%)

Results

4.3s	1177×	body	4096	invalid
3.9s	3963×	body	1024	valid
2.9s	1130×	body	2048	invalid
1.5s	1048×	body	2048	valid
1.3s	491×	body	4096	valid
967.0ms	1449×	body	512	valid
620.0ms	655×	body	1024	invalid
329.0ms	478×	body	512	invalid
260.0ms	1099×	body	128	invalid
244.0ms	832×	body	128	valid
215.0ms	473×	body	256	valid
125.0ms	300×	body	256	invalid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify33.0ms (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

40.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	40.5b	(/.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)))

Compiler

Compiled 97 to 65 computations (33% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	1.7b	(.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))
✓	27.1b	(.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 (1.5%)

Counts

4 → 132

Calls

4 calls:

165.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
139.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
79.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
42.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite63.0ms (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))
5.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify185.0ms (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

prune418.0ms (1.5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	251	17	268
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	252	17	269

Error

17.0b

Counts

269 → 17

Alt Table

Status	Error	Program
	46.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t (/.f64 3 2)) l) (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3/2) l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	50.3b	(/.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)))
	32.6b	(/.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)))
	37.6b	(/.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)))
	39.5b	(/.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))))
	31.9b	(/.f64 2 (fma.f64 31/360 (/.f64 (.f64 t (pow.f64 k 8)) (.f64 l l)) (fma.f64 1/6 (/.f64 (.f64 t (pow.f64 k 6)) (.f64 l l)) (/.f64 (.f64 t (pow.f64 k 4)) (.f64 l l)))))
	32.8b	(/.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)))
	35.4b	(/.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)))
▶	25.3b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	46.1b	(/.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)))
	54.1b	(/.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)))
	33.1b	(/.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)))
	62.0b	(/.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))))
	37.4b	(/.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)))
	46.1b	(/.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)))
	61.0b	(/.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 (log.f64 (/.f64 k t)) 2))))
	62.1b	(/.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)))))

Compiler

Compiled 8832 to 4621 computations (47.7% saved)

localize15.0ms (0.1%)

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))))
✓	1.5b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	4.1b	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	22.7b	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))

series452.0ms (1.6%)

Counts

4 → 48

Calls

4 calls:

247.0ms	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
151.0ms	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))
33.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
20.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

rewrite68.0ms (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:

11.0ms	(/.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)))
4.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

simplify187.0ms (0.7%)

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

prune628.0ms (2.2%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	249	14	263
Fresh	8	8	16
Picked	1	0	1
Done	0	0	0
Total	258	22	280

Error

12.8b

Counts

280 → 22

Alt Table

Status	Error	Program
	46.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t (/.f64 3 2)) l) (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3/2) l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	62.0b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (.f64 (log.f64 k) 2) (log.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))) (+.f64 (log.f64 (cos.f64 k)) (*.f64 (log.f64 l) 2)))))
	60.4b	(/.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 1 l) (.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	25.4b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.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)))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	24.0b	(/.f64 (/.f64 2 (/.f64 (pow.f64 k 2) (cos.f64 k))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2)))
	56.5b	(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))))))
	25.3b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 (.f64 t (sin.f64 k)) (sin.f64 k))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	37.6b	(/.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)))
	25.4b	(/.f64 (sqrt.f64 2) (/.f64 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))) (sqrt.f64 2)))
	24.0b	(.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))))
	33.1b	(/.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)))
	62.0b	(/.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))))
	43.6b	(/.f64 2 (/.f64 (.f64 k (.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 (sqrt.f64 k) 2))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	24.8b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	25.0b	(.f64 (/.f64 2 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))
	46.1b	(/.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)))
	32.8b	(/.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)))
	46.1b	(/.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)))
	24.8b	(.f64 (/.f64 (cos.f64 k) (.f64 k k)) (/.f64 2 (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
▶	23.7b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	60.4b	(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)))))

Compiler

Compiled 8673 to 5390 computations (37.9% 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))))
	1.5b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	22.7b	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))

series401.0ms (1.4%)

Counts

3 → 76

Calls

3 calls:

247.0ms

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

150.0ms

(/.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)

rewrite45.0ms (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:

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))))

9.0ms

(/.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)

simplify142.0ms (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

prune490.0ms (1.7%)

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

12.3b

Counts

260 → 21

Alt Table

Status	Error	Program
	46.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t (/.f64 3 2)) l) (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3/2) l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	62.0b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (.f64 (log.f64 k) 2) (log.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))) (+.f64 (log.f64 (cos.f64 k)) (*.f64 (log.f64 l) 2)))))
	60.4b	(/.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 1 l) (.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	24.0b	(/.f64 (/.f64 2 (/.f64 (pow.f64 k 2) (cos.f64 k))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2)))
	56.5b	(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))))))
	25.3b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 (.f64 t (sin.f64 k)) (sin.f64 k))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	37.6b	(/.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)))
	24.0b	(.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))))
	21.9b	(.f64 (/.f64 (cos.f64 k) k) (/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 l l))))
	46.1b	(/.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)))
▶	21.7b	(/.f64 2 (/.f64 k (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	24.8b	(.f64 (/.f64 (cos.f64 k) (.f64 k k)) (/.f64 2 (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	33.1b	(/.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)))
	62.0b	(/.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))))
	60.4b	(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)))))
	23.3b	(.f64 (/.f64 2 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))) (*.f64 (cos.f64 k) (pow.f64 l 2)))
	23.8b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (.f64 (.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)))))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	32.8b	(/.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 (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))))
	46.1b	(/.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)))

Compiler

Compiled 8091 to 4737 computations (41.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 2 (/.f64 k (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	1.5b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	5.0b	(/.f64 k (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
✓	18.3b	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))

series577.0ms (2%)

Counts

3 → 76

Calls

3 calls:

244.0ms

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

189.0ms

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

144.0ms

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

rewrite69.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

292×	`add-exp-log_binary64`
152×	`times-frac_binary64`
129×	`prod-exp_binary64`
124×	`div-exp_binary64`
91×	`add-cbrt-cube_binary64`

Counts

3 → 231

Calls

3 calls:

15.0ms

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

8.0ms

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

8.0ms

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

simplify297.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

449×	`times-frac_binary64`
341×	`associate-/r/_binary64`
319×	`associate-/r*_binary64`
293×	`associate-/l*_binary64`
277×	`associate-r_binary64`

Counts

307 → 362

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	401	11913
1	926	10586
2	4131	10577
3	4810	10577
4	4983	10577
5	5003	10577

prune811.0ms (2.9%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	401	6	407
Fresh	5	15	20
Picked	1	0	1
Done	0	0	0
Total	407	21	428

Error

11.3b

Counts

428 → 21

Alt Table

Status	Error	Program
	46.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t (/.f64 3 2)) l) (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3/2) l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	62.0b	(/.f64 2 (exp.f64 (-.f64 (+.f64 (.f64 (log.f64 k) 2) (log.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))) (+.f64 (log.f64 (cos.f64 k)) (*.f64 (log.f64 l) 2)))))
	60.4b	(/.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 1 l) (.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	21.9b	(/.f64 (.f64 2 (/.f64 (cos.f64 k) k)) (/.f64 k (/.f64 (pow.f64 l 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	24.0b	(/.f64 (/.f64 2 (/.f64 (pow.f64 k 2) (cos.f64 k))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2)))
	21.9b	(.f64 (.f64 (/.f64 (cos.f64 k) k) (sqrt.f64 2)) (/.f64 (sqrt.f64 2) (/.f64 k (/.f64 (.f64 l l) (.f64 t (pow.f64 (sin.f64 k) 2))))))
	32.8b	(/.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)))
	21.6b	(/.f64 2 (/.f64 k (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 (.f64 t (sin.f64 k)) (sin.f64 k))))))
	24.8b	(.f64 (/.f64 (cos.f64 k) (.f64 k k)) (/.f64 2 (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	21.8b	(.f64 (/.f64 (sqrt.f64 2) (.f64 (cbrt.f64 k) (cbrt.f64 k))) (/.f64 (sqrt.f64 2) (/.f64 (cbrt.f64 k) (/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	33.1b	(/.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)))
	62.0b	(/.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))))
	59.0b	(/.f64 2 (/.f64 k (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (log.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))))
	60.4b	(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)))))
	23.3b	(.f64 (/.f64 2 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))) (*.f64 (cos.f64 k) (pow.f64 l 2)))
	37.6b	(/.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)))
	46.1b	(/.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)))
	21.9b	(.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))))
	46.1b	(/.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)))
	21.8b	(/.f64 2 (.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) (/.f64 (cbrt.f64 k) (/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))))

Compiler

Compiled 13745 to 7489 computations (45.5% saved)

regimes2.3s (8.3%)

Accuracy

Total 6.3b remaining (37.3%)

Threshold costs 0b (0%)

Counts

236 → 2

Compiler

Compiled 41059 to 29581 computations (28% saved)

bsearch11.0ms (0%)

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

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	76
1	38	76
2	37	76

end356.0ms (1.3%)

Compiler: Compiled 665 to 469 computations (29.5% saved)

Details

analyze3.4s (11.9%)

sample16.8s (59.4%)

simplify33.0ms (0.1%)

prune4.0ms (0%)

localize16.0ms (0.1%)

series425.0ms (1.5%)

rewrite63.0ms (0.2%)

simplify185.0ms (0.7%)

prune418.0ms (1.5%)

localize15.0ms (0.1%)

series452.0ms (1.6%)

rewrite68.0ms (0.2%)

simplify187.0ms (0.7%)

prune628.0ms (2.2%)

localize15.0ms (0.1%)

series401.0ms (1.4%)

rewrite45.0ms (0.2%)

simplify142.0ms (0.5%)

prune490.0ms (1.7%)

localize15.0ms (0.1%)

series577.0ms (2%)

rewrite69.0ms (0.2%)

simplify297.0ms (1.1%)

prune811.0ms (2.9%)

regimes2.3s (8.3%)

bsearch11.0ms (0%)

simplify3.0ms (0%)

end356.0ms (1.3%)

Profiling