Details

analyze3.5s (11.6%)

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)

sample596.0ms (2%)

Algorithm

1×

intervals

Results

222.0ms	57×	body	4096	invalid
97.0ms	122×	body	1024	valid
94.0ms	41×	body	2048	invalid
54.0ms	20×	body	4096	valid
38.0ms	31×	body	2048	valid
25.0ms	50×	body	512	valid
21.0ms	31×	body	1024	invalid
6.0ms	13×	body	512	invalid
6.0ms	33×	body	128	invalid
4.0ms	13×	body	256	valid
3.0ms	20×	body	128	valid
3.0ms	9×	body	256	invalid

Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify40.0ms (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

42.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	42.1b	(/.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))
✓	1.9b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	15.9b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	28.8b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite60.0ms (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:

18.0ms	(.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))
9.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
5.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

series710.0ms (2.4%)

Counts

4 → 132

Calls

4 calls:

266.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
229.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
151.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
63.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify240.0ms (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 → 628

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	325	7680
1	754	6984
2	3315	6927
3	4897	6927
4	5040	6927

prune352.0ms (1.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	614	14	628
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	615	14	629

Error

14.9b

Counts

629 → 14

Alt Table

Status	Error	Program
	40.6b	(/.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)))
	31.0b	(/.f64 2 (/.f64 (*.f64 (pow.f64 k 4) t) (pow.f64 l 2)))
	35.2b	(/.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)))
	59.2b	(/.f64 2 (exp.f64 (+.f64 (+.f64 (log.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))) (log.f64 (tan.f64 k))) (*.f64 (log.f64 (/.f64 k t)) 2))))
▶	21.3b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	46.8b	(/.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)))
	61.3b	(/.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))))
	41.5b	(/.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))))
	47.8b	(/.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)))
	35.8b	(/.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)))
	59.2b	(/.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))))
	41.4b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 t 3)) (cbrt.f64 (pow.f64 t 3))) (/.f64 l (/.f64 t l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	39.0b	(/.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)))
	36.8b	(/.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)))

Compiler

Compiled 8565 to 4455 computations (48% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.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))
✓	6.0b	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	18.6b	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))

rewrite54.0ms (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))))
10.0ms	(/.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)))
5.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

series631.0ms (2.1%)

Counts

4 → 48

Calls

4 calls:

307.0ms	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
223.0ms	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))
62.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
39.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

simplify197.0ms (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 → 539

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	302	8609
1	668	7590
2	2929	7535
3	5188	7535

prune580.0ms (2%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	522	17	539
Fresh	5	8	13
Picked	1	0	1
Done	0	0	0
Total	528	25	553

Error

10.2b

Counts

553 → 25

Alt Table

Status	Error	Program
	55.8b	(/.f64 2 (/.f64 (.f64 t (-.f64 (fma.f64 (pow.f64 k 8) 2/45 (pow.f64 k 4)) (fma.f64 (pow.f64 k 6) 1/3 (.f64 (pow.f64 k 10) 1/315)))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	47.8b	(/.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)))
	55.8b	(exp.f64 (-.f64 (log.f64 2) (-.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)))))
	55.9b	(/.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)))))
	40.6b	(/.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)))
	55.7b	(/.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)))))
	35.2b	(/.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)))
	59.2b	(/.f64 2 (exp.f64 (+.f64 (+.f64 (log.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))) (log.f64 (tan.f64 k))) (*.f64 (log.f64 (/.f64 k t)) 2))))
	21.3b	(/.f64 2 (/.f64 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2)))
	54.6b	(/.f64 2 (exp.f64 (-.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))))))
	20.5b	(.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))))
	21.3b	(/.f64 2 (/.f64 (.f64 (.f64 (pow.f64 k 2) t) (pow.f64 (sin.f64 k) 2)) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	41.4b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 t 3)) (cbrt.f64 (pow.f64 t 3))) (/.f64 l (/.f64 t l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	21.5b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	39.0b	(/.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)))
▶	19.2b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))
	46.8b	(/.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)))
	61.3b	(/.f64 2 (exp.f64 (-.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)))))
	21.4b	(.f64 (/.f64 (cos.f64 k) (.f64 k k)) (/.f64 2 (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	36.8b	(/.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)))
	21.5b	(.f64 (.f64 (cbrt.f64 (.f64 2 (/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2)))))) (cbrt.f64 (.f64 2 (/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))))))) (cbrt.f64 (.f64 2 (/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	20.0b	(/.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))))
	21.5b	(/.f64 2 (.f64 (.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))))))
	20.4b	(/.f64 (/.f64 2 (/.f64 (pow.f64 k 2) (cos.f64 k))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2)))
	21.7b	(.f64 (/.f64 2 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))

Compiler

Compiled 8960 to 5576 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)
✓	0.4b	(/.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))
✓	18.6b	(/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))

rewrite36.0ms (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:

12.0ms

(/.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)

series565.0ms (1.9%)

Counts

3 → 76

Calls

3 calls:

310.0ms

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

249.0ms

(/.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)

simplify169.0ms (0.6%)

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 → 412

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	7204
1	625	6079
2	2861	6049
3	5057	6049

prune525.0ms (1.8%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	458	9	467
Fresh	12	12	24
Picked	1	0	1
Done	0	0	0
Total	471	21	492

Error

9.1b

Counts

492 → 21

Alt Table

Status	Error	Program
	16.0b	(.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))))
	19.4b	(.f64 (/.f64 (sqrt.f64 2) (.f64 (cbrt.f64 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))) (cbrt.f64 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))))) (/.f64 (sqrt.f64 2) (cbrt.f64 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))))
	16.0b	(/.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 (/.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)))
	55.8b	(exp.f64 (-.f64 (log.f64 2) (-.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)))))
	35.2b	(/.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)))
	54.6b	(/.f64 2 (exp.f64 (-.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))))))
	41.4b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 t 3)) (cbrt.f64 (pow.f64 t 3))) (/.f64 l (/.f64 t l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	21.5b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	57.0b	(/.f64 2 (exp.f64 (-.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)))))
	46.8b	(/.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)))
	19.6b	(.f64 (/.f64 2 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))) (*.f64 (cos.f64 k) (pow.f64 l 2)))
	61.3b	(/.f64 2 (exp.f64 (-.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)))))
	19.2b	(/.f64 2 (/.f64 (.f64 k (.f64 k (.f64 (.f64 t (sin.f64 k)) (sin.f64 k)))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	21.5b	(.f64 (.f64 (cbrt.f64 (.f64 2 (/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2)))))) (cbrt.f64 (.f64 2 (/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))))))) (cbrt.f64 (.f64 2 (/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	19.2b	(.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 (sqrt.f64 2) (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (*.f64 (cos.f64 k) (pow.f64 l 2)))))
	20.4b	(/.f64 (/.f64 2 (/.f64 (pow.f64 k 2) (cos.f64 k))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2)))
	40.6b	(/.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)))
▶	16.0b	(/.f64 2 (/.f64 k (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	19.2b	(/.f64 2 (/.f64 (.f64 (/.f64 k (cos.f64 k)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))) (pow.f64 l 2)))
	36.8b	(/.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)))

Compiler

Compiled 8159 to 4765 computations (41.6% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 2 (/.f64 k (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	1.4b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	3.4b	(/.f64 k (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
✓	14.0b	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))

rewrite57.0ms (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))))))

9.0ms

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

9.0ms

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

series756.0ms (2.6%)

Counts

3 → 76

Calls

3 calls:

297.0ms

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

239.0ms

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

219.0ms

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

simplify362.0ms (1.2%)

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 → 603

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

prune993.0ms (3.3%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	703	10	713
Fresh	7	13	20
Picked	1	0	1
Done	0	0	0
Total	711	23	734

Error

9.1b

Counts

734 → 23

Alt Table

Status	Error	Program
	19.2b	(.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 (sqrt.f64 2) (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (*.f64 (cos.f64 k) (pow.f64 l 2)))))
	16.0b	(.f64 (/.f64 1 k) (/.f64 2 (/.f64 1 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	20.4b	(/.f64 (/.f64 2 (/.f64 (pow.f64 k 2) (cos.f64 k))) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2)))
	61.3b	(/.f64 2 (exp.f64 (-.f64 (log.f64 k) (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (log.f64 k) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2)))))))
	16.0b	(.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))))
	19.4b	(.f64 (/.f64 (sqrt.f64 2) (.f64 (cbrt.f64 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))) (cbrt.f64 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2)))))) (/.f64 (sqrt.f64 2) (cbrt.f64 (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (.f64 (cos.f64 k) (pow.f64 l 2))))))
	61.5b	(/.f64 2 (/.f64 k (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (log.f64 k) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2)))))))
	16.2b	(/.f64 (/.f64 2 (.f64 (cbrt.f64 (/.f64 k (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))) (cbrt.f64 (/.f64 k (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))))) (cbrt.f64 (/.f64 k (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	47.8b	(/.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)))
	55.8b	(exp.f64 (-.f64 (log.f64 2) (-.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)))))
	16.1b	(/.f64 (sqrt.f64 2) (/.f64 (/.f64 k (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))) (sqrt.f64 2)))
	21.5b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	57.0b	(/.f64 2 (exp.f64 (-.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)))))
	46.8b	(/.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)))
	16.0b	(/.f64 2 (.f64 k (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k)))))
	36.8b	(/.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)))
	17.5b	(/.f64 (/.f64 2 (/.f64 1 (/.f64 (cos.f64 k) k))) (/.f64 k (/.f64 (pow.f64 l 2) (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	61.3b	(exp.f64 (-.f64 (log.f64 2) (-.f64 (log.f64 k) (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (log.f64 k) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2)))))))
	40.6b	(/.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)))
	35.2b	(/.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)))
	17.3b	(.f64 (/.f64 (sqrt.f64 2) (/.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) (.f64 (cos.f64 k) (pow.f64 l 2)))) (/.f64 (sqrt.f64 2) (/.f64 (cbrt.f64 k) (/.f64 1 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))))
	17.6b	(/.f64 2 (/.f64 k (/.f64 (cos.f64 k) (/.f64 k (/.f64 (.f64 l l) (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	21.5b	(.f64 (.f64 (cbrt.f64 (.f64 2 (/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2)))))) (cbrt.f64 (.f64 2 (/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))))))) (cbrt.f64 (.f64 2 (/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2)))))))

Compiler

Compiled 13871 to 7574 computations (45.4% saved)

regimes3.8s (12.7%)

Accuracy

Total 5.1b remaining (31.9%)

Threshold costs 0b (0%)

Compiler

Compiled 70680 to 49697 computations (29.7% saved)

bsearch606.0ms (2%)

Steps

Iters	Range		Point
9	1.3373177546311822e+137	8.512365955962831e+142	8.420395370480341e+142
8	-1.0649809202142118e+152	-1.7938554228092103e+149	-1.0467574467137257e+152

Compiler

Compiled 4 to 3 computations (25% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
1×	`if-if-or-not_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	78
1	42	78
2	42	78

end1.0ms (0%)

Compiler: Compiled 54 to 35 computations (35.2% saved)

sample14.8s (50%)

Algorithm

1×

intervals

Results

4.0s	1157×	body	4096	invalid
3.0s	3806×	body	1024	valid
2.4s	1012×	body	2048	invalid
1.2s	1022×	body	2048	valid
1.1s	500×	body	4096	valid
682.0ms	1371×	body	512	valid
502.0ms	683×	body	1024	invalid
246.0ms	494×	body	512	invalid
197.0ms	1083×	body	128	invalid
187.0ms	512×	body	256	valid
145.0ms	789×	body	128	valid
99.0ms	308×	body	256	invalid

Compiler

Compiled 809 to 568 computations (29.8% saved)

Details

analyze3.5s (11.6%)

sample596.0ms (2%)

simplify40.0ms (0.1%)

prune4.0ms (0%)

localize16.0ms (0.1%)

rewrite60.0ms (0.2%)

series710.0ms (2.4%)

simplify240.0ms (0.8%)

prune352.0ms (1.2%)

localize14.0ms (0%)

rewrite54.0ms (0.2%)

series631.0ms (2.1%)

simplify197.0ms (0.7%)

prune580.0ms (2%)

localize15.0ms (0.1%)

rewrite36.0ms (0.1%)

series565.0ms (1.9%)

simplify169.0ms (0.6%)

prune525.0ms (1.8%)

localize16.0ms (0.1%)

rewrite57.0ms (0.2%)

series756.0ms (2.6%)

simplify362.0ms (1.2%)

prune993.0ms (3.3%)

regimes3.8s (12.7%)

bsearch606.0ms (2%)

simplify7.0ms (0%)

end1.0ms (0%)

sample14.8s (50%)

Profiling