Details

analyze3.4s (10.7%)

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)

sample593.0ms (1.9%)

Algorithm

1×

intervals

Results

158.0ms	46×	body	4096	invalid
102.0ms	118×	body	1024	valid
100.0ms	40×	body	2048	invalid
44.0ms	32×	body	2048	valid
27.0ms	15×	body	4096	valid
21.0ms	43×	body	512	valid
19.0ms	23×	body	1024	invalid
8.0ms	11×	body	256	invalid
8.0ms	46×	body	128	invalid
7.0ms	15×	body	512	invalid
5.0ms	17×	body	256	valid
5.0ms	31×	body	128	valid

Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify38.0ms (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

42.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	42.3b	(/.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%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	1.5b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	19.0b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	29.4b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

series416.0ms (1.3%)

Counts

4 → 132

Calls

4 calls:

151.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
133.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
96.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
36.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite105.0ms (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:

53.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
11.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
9.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.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

prune424.0ms (1.3%)

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

16.8b

Counts

269 → 17

Alt Table

Status	Error	Program
▶	26.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	38.4b	(/.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)))
	35.5b	(/.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)))
	48.6b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (pow.f64 t (/.f64 3 2)) (/.f64 l (/.f64 (pow.f64 t 3/2) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	42.2b	(/.f64 2 (/.f64 (.f64 (pow.f64 (/.f64 k t) 2) (.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (pow.f64 t 3) (*.f64 l l)))) (cos.f64 k)))
	55.5b	(/.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)))
	38.6b	(/.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)))
	60.4b	(/.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))))
	44.4b	(/.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)))
	61.0b	(/.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 (log.f64 (/.f64 k t)) 2))))
	35.6b	(/.f64 2 (+.f64 (.f64 173/5040 (/.f64 (.f64 (pow.f64 k 10) t) (pow.f64 l 2))) (+.f64 (/.f64 (.f64 (pow.f64 k 4) t) (pow.f64 l 2)) (+.f64 (.f64 31/360 (/.f64 (.f64 (pow.f64 k 8) t) (pow.f64 l 2))) (.f64 1/6 (/.f64 (*.f64 (pow.f64 k 6) t) (pow.f64 l 2)))))))
	50.4b	(/.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)))
	47.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (.f64 (sin.f64 k) (/.f64 (*.f64 t (sqrt.f64 t)) l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	35.7b	(/.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)))
	62.3b	(/.f64 2 (exp.f64 (+.f64 (+.f64 (+.f64 (-.f64 (log.f64 (pow.f64 t 3)) (+.f64 (log.f64 l) (log.f64 l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (*.f64 (log.f64 (/.f64 k t)) 2))))
	53.6b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 (sqrt.f64 k) 1) 2)) (pow.f64 (/.f64 (sqrt.f64 k) t) 2)))
	60.2b	(/.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 8898 to 4683 computations (47.4% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
✓	1.1b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	5.0b	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	24.1b	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))

series450.0ms (1.4%)

Counts

4 → 48

Calls

4 calls:

250.0ms	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
153.0ms	(/.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))

rewrite71.0ms (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:

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))))
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))

simplify171.0ms (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

prune574.0ms (1.8%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	249	14	263
Fresh	6	10	16
Picked	1	0	1
Done	0	0	0
Total	256	24	280

Error

13.3b

Counts

280 → 24

Alt Table

Status	Error	Program
	47.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (.f64 (sin.f64 k) (/.f64 (*.f64 t (sqrt.f64 t)) l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	57.6b	(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)))))
	38.4b	(/.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)))
	60.4b	(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)))))
	37.1b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (cbrt.f64 (pow.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) 3))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	35.5b	(/.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)))
	48.6b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (pow.f64 t (/.f64 3 2)) (/.f64 l (/.f64 (pow.f64 t 3/2) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	24.9b	(.f64 (/.f64 1 (/.f64 (pow.f64 k 2) (cos.f64 k))) (/.f64 2 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2))))
	25.0b	(.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))))
	25.3b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	26.5b	(/.f64 2 (/.f64 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))
	53.6b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 (sqrt.f64 k) 1) 2)) (pow.f64 (/.f64 (sqrt.f64 k) t) 2)))
▶	24.9b	(/.f64 2 (/.f64 (pow.f64 k 2) (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	26.7b	(.f64 (/.f64 (sqrt.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)))))) (/.f64 (sqrt.f64 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))))))
	55.5b	(/.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)))
	38.6b	(/.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)))
	60.4b	(/.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))))
	61.0b	(/.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 (log.f64 (/.f64 k t)) 2))))
	32.3b	(.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))))))
	35.7b	(/.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)))
	26.8b	(.f64 (/.f64 1 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))) (/.f64 2 (/.f64 1 (.f64 (cos.f64 k) (pow.f64 l 2)))))
	56.2b	(/.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 (pow.f64 k 2) (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t)))))
	45.7b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 (.f64 t (pow.f64 (sqrt.f64 (sin.f64 k)) 2)) (pow.f64 (sqrt.f64 (sin.f64 k)) 2))) (.f64 (cos.f64 k) (pow.f64 l 2))))

Compiler

Compiled 8925 to 5570 computations (37.6% saved)

localize16.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 2 (/.f64 (pow.f64 k 2) (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	1.1b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	13.8b	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	15.5b	(/.f64 (pow.f64 k 2) (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 t (pow.f64 (sin.f64 k) 2))))

series532.0ms (1.7%)

Counts

3 → 76

Calls

3 calls:

235.0ms

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

151.0ms

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

146.0ms

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

rewrite109.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

466×	`add-exp-log_binary64`
377×	`times-frac_binary64`
266×	`div-exp_binary64`
168×	`prod-exp_binary64`
146×	`*-un-lft-identity_binary64`

Counts

3 → 411

Calls

3 calls:

17.0ms

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

9.0ms

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

6.0ms

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

simplify437.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

557×	`associate-/r/_binary64`
379×	`times-frac_binary64`
335×	`associate-/r*_binary64`
304×	`associate-/l*_binary64`
294×	`associate-*l/_binary64`

Counts

487 → 569

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	576	19427
1	1178	17482
2	4535	17476
3	4998	17476
4	5020	17476

prune1.8s (5.5%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	604	10	614
Fresh	13	10	23
Picked	1	0	1
Done	0	0	0
Total	618	20	638

Error

9.7b

Counts

638 → 20

Alt Table

Status	Error	Program
	47.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (.f64 (sin.f64 k) (/.f64 (*.f64 t (sqrt.f64 t)) l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	57.6b	(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)))))
	24.9b	(.f64 (/.f64 2 (pow.f64 k 2)) (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (*.f64 t (pow.f64 (sin.f64 k) 2))))
	38.4b	(/.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)))
	60.4b	(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)))))
	21.6b	(.f64 (/.f64 (/.f64 (cos.f64 k) t) k) (/.f64 2 (/.f64 k (/.f64 (.f64 l l) (pow.f64 (sin.f64 k) 2)))))
	35.7b	(/.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)))
	27.3b	(/.f64 2 (/.f64 (pow.f64 k 2) (fma.f64 (/.f64 l t) (/.f64 l (.f64 k k)) (.f64 (/.f64 (*.f64 l l) t) -1/6))))
	32.7b	(/.f64 2 (/.f64 (pow.f64 k 2) (cbrt.f64 (pow.f64 (/.f64 (.f64 (.f64 l l) (cos.f64 k)) (*.f64 t (pow.f64 (sin.f64 k) 2))) 3))))
	22.8b	(/.f64 2 (/.f64 k (/.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 t (pow.f64 (sin.f64 k) 2))) k)))
	38.6b	(/.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)))
	60.4b	(/.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))))
	61.0b	(/.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 (log.f64 (/.f64 k t)) 2))))
▶	21.2b	(/.f64 (.f64 (/.f64 2 k) (.f64 (.f64 l l) (cos.f64 k))) (/.f64 k (/.f64 1 (.f64 t (pow.f64 (sin.f64 k) 2)))))
	21.3b	(.f64 (.f64 (/.f64 (sqrt.f64 2) k) (.f64 (.f64 l l) (cos.f64 k))) (/.f64 (sqrt.f64 2) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
	56.2b	(/.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 k (/.f64 (cos.f64 k) t)) (/.f64 k (/.f64 (.f64 l l) (pow.f64 (sin.f64 k) 2)))))
	35.5b	(/.f64 2 (fma.f64 (/.f64 (pow.f64 k 4) l) (/.f64 t l) (fma.f64 1/6 (/.f64 (.f64 t (pow.f64 k 6)) (.f64 l l)) (.f64 31/360 (/.f64 (.f64 t (pow.f64 k 8)) (*.f64 l l))))))
	55.5b	(/.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)))
	21.2b	(.f64 (/.f64 (.f64 (.f64 l l) (cos.f64 k)) k) (/.f64 2 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))

Compiler

Compiled 21255 to 12638 computations (40.5% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 k) 2)
	1.1b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	7.9b	(.f64 (/.f64 2 k) (.f64 (*.f64 l l) (cos.f64 k)))
✓	15.1b	(/.f64 (.f64 (/.f64 2 k) (.f64 (.f64 l l) (cos.f64 k))) (/.f64 k (/.f64 1 (.f64 t (pow.f64 (sin.f64 k) 2)))))

series292.0ms (0.9%)

Counts

3 → 64

Calls

3 calls:

261.0ms	(/.f64 (.f64 (/.f64 2 k) (.f64 (.f64 l l) (cos.f64 k))) (/.f64 k (/.f64 1 (.f64 t (pow.f64 (sin.f64 k) 2)))))
27.0ms	(.f64 (/.f64 2 k) (.f64 (*.f64 l l) (cos.f64 k)))
4.0ms	(pow.f64 (sin.f64 k) 2)

rewrite101.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

592×	`add-exp-log_binary64`
290×	`div-exp_binary64`
243×	`prod-exp_binary64`
182×	`add-cbrt-cube_binary64`
95×	`times-frac_binary64`

Counts

3 → 253

Calls

3 calls:

19.0ms	(/.f64 (.f64 (/.f64 2 k) (.f64 (.f64 l l) (cos.f64 k))) (/.f64 k (/.f64 1 (.f64 t (pow.f64 (sin.f64 k) 2)))))
11.0ms	(.f64 (/.f64 2 k) (.f64 (*.f64 l l) (cos.f64 k)))
2.0ms	(pow.f64 (sin.f64 k) 2)

simplify312.0ms (1%)

Algorithm

1×	egg-herbie

Rules

428×	`associate-/l*_binary64`
387×	`times-frac_binary64`
310×	`associate-r_binary64`
277×	`associate-/r*_binary64`
270×	`associate-l_binary64`

Counts

317 → 320

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	398	10523
1	917	8502
2	4100	8498
3	4832	8498
4	5016	8498

prune704.0ms (2.2%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	361	4	365
Fresh	2	17	19
Picked	1	0	1
Done	0	0	0
Total	364	21	385

Error

9.7b

Counts

385 → 21

Alt Table

Status	Error	Program
	47.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (.f64 (sin.f64 k) (/.f64 (*.f64 t (sqrt.f64 t)) l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	57.6b	(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)))))
	24.9b	(.f64 (/.f64 2 (pow.f64 k 2)) (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (*.f64 t (pow.f64 (sin.f64 k) 2))))
	21.2b	(/.f64 (.f64 (/.f64 2 k) (.f64 (.f64 l l) (cos.f64 k))) (/.f64 k (/.f64 1 (.f64 (*.f64 t (sin.f64 k)) (sin.f64 k)))))
	38.4b	(/.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)))
	21.6b	(.f64 (/.f64 (/.f64 (cos.f64 k) t) k) (/.f64 2 (/.f64 k (/.f64 (.f64 l l) (pow.f64 (sin.f64 k) 2)))))
	35.7b	(/.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)))
	27.3b	(/.f64 2 (/.f64 (pow.f64 k 2) (fma.f64 (/.f64 l t) (/.f64 l (.f64 k k)) (.f64 (/.f64 (*.f64 l l) t) -1/6))))
	23.3b	(.f64 (/.f64 (/.f64 2 k) (/.f64 1 (/.f64 1 t))) (/.f64 (.f64 (*.f64 l l) (cos.f64 k)) (/.f64 k (/.f64 1 (pow.f64 (sin.f64 k) 2)))))
	57.8b	(/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 2 k)) (+.f64 (+.f64 (log.f64 l) (log.f64 l)) (log.f64 (cos.f64 k))))) (/.f64 k (/.f64 1 (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	38.6b	(/.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)))
	60.4b	(/.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))))
	59.9b	(exp.f64 (-.f64 (+.f64 (log.f64 (/.f64 2 k)) (+.f64 (+.f64 (log.f64 l) (log.f64 l)) (log.f64 (cos.f64 k)))) (-.f64 (log.f64 k) (neg.f64 (log.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)))))))
	21.3b	(.f64 (.f64 (/.f64 (sqrt.f64 2) k) (.f64 (.f64 l l) (cos.f64 k))) (/.f64 (sqrt.f64 2) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
	56.2b	(/.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 k (/.f64 (cos.f64 k) t)) (/.f64 k (/.f64 (.f64 l l) (pow.f64 (sin.f64 k) 2)))))
	35.5b	(/.f64 2 (fma.f64 (/.f64 (pow.f64 k 4) l) (/.f64 t l) (fma.f64 1/6 (/.f64 (.f64 t (pow.f64 k 6)) (.f64 l l)) (.f64 31/360 (/.f64 (.f64 t (pow.f64 k 8)) (*.f64 l l))))))
	32.7b	(/.f64 2 (/.f64 (pow.f64 k 2) (cbrt.f64 (pow.f64 (/.f64 (.f64 (.f64 l l) (cos.f64 k)) (*.f64 t (pow.f64 (sin.f64 k) 2))) 3))))
	55.5b	(/.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)))
	21.2b	(.f64 (/.f64 (.f64 (.f64 l l) (cos.f64 k)) k) (/.f64 2 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	61.0b	(/.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 (log.f64 (/.f64 k t)) 2))))

Compiler

Compiled 12025 to 5999 computations (50.1% saved)

regimes5.7s (17.7%)

Accuracy

Total 4.2b remaining (30.8%)

Threshold costs 0b (0%)

Counts

406 → 3

Compiler

Compiled 74166 to 53544 computations (27.8% saved)

bsearch19.0ms (0.1%)

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

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	117
1	55	117
2	54	117

end1.0ms (0%)

Compiler: Compiled 81 to 48 computations (40.7% saved)

sample15.5s (48.5%)

Algorithm

1×

intervals

Results

4.3s	1223×	body	4096	invalid
3.0s	3826×	body	1024	valid
2.5s	1115×	body	2048	invalid
1.3s	1008×	body	2048	valid
1.2s	486×	body	4096	valid
729.0ms	1404×	body	512	valid
532.0ms	686×	body	1024	invalid
280.0ms	551×	body	512	invalid
212.0ms	1037×	body	128	invalid
155.0ms	455×	body	256	valid
143.0ms	821×	body	128	valid
109.0ms	310×	body	256	invalid

Compiler

Compiled 687 to 479 computations (30.3% saved)

Details

analyze3.4s (10.7%)

sample593.0ms (1.9%)

simplify38.0ms (0.1%)

prune4.0ms (0%)

localize16.0ms (0%)

series416.0ms (1.3%)

rewrite105.0ms (0.3%)

simplify214.0ms (0.7%)

prune424.0ms (1.3%)

localize15.0ms (0%)

series450.0ms (1.4%)

rewrite71.0ms (0.2%)

simplify171.0ms (0.5%)

prune574.0ms (1.8%)

localize16.0ms (0%)

series532.0ms (1.7%)

rewrite109.0ms (0.3%)

simplify437.0ms (1.4%)

prune1.8s (5.5%)

localize17.0ms (0.1%)

series292.0ms (0.9%)

rewrite101.0ms (0.3%)

simplify312.0ms (1%)

prune704.0ms (2.2%)

regimes5.7s (17.7%)

bsearch19.0ms (0.1%)

simplify4.0ms (0%)

end1.0ms (0%)

sample15.5s (48.5%)

Profiling