Details

analyze3.4s (13.2%)

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)

sample443.0ms (1.7%)

Algorithm

1×

intervals

Results

105.0ms	34×	body	4096	invalid
95.0ms	124×	body	1024	valid
67.0ms	27×	body	2048	invalid
57.0ms	18×	body	4096	valid
40.0ms	36×	body	2048	valid
23.0ms	46×	body	512	valid
15.0ms	20×	body	1024	invalid
8.0ms	17×	body	512	invalid
4.0ms	28×	body	128	invalid
4.0ms	13×	body	256	invalid
4.0ms	12×	body	256	valid
3.0ms	20×	body	128	valid

Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify40.0ms (0.2%)

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 → 1

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	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

40.6b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	40.6b	(/.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 72 to 51 computations (29.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.8b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
0.8b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
13.0b	(/.f64 (pow.f64 t 3) (*.f64 l l))
31.2b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

rewrite326.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

25.6b

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:

17.0ms	(.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))
6.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 4729 to 2292 computations (51.5% saved)

series203.0ms (0.8%)

Error

19.1b

Counts

4 → 37

Calls

4 calls:

68.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
66.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
38.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
18.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2049 to 1542 computations (24.7% saved)

simplify203.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

505×	`associate-l_binary64`
486×	`unswap-sqr_binary64`
363×	`associate-r_binary64`
318×	`log-prod_binary64`
200×	`*-commutative_binary64`

Counts

232 → 206

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	316	6100
1	709	5408
2	3255	5355
3	4747	5355
4	5172	5355

prune151.0ms (0.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	199	7	206
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	200	7	207

Error

16.0b

Counts

207 → 7

Alt Table

Status	Error	Program
	49.6b	(/.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)))
	35.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
▶	19.3b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (*.f64 l l))))
	42.9b	(/.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)))
	35.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (*.f64 t t) l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	35.7b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (*.f64 l l))) (tan.f64 k)) (/.f64 k t)) (/.f64 k t)))
	28.2b	(/.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)))))

Compiler

Compiled 2811 to 1469 computations (47.7% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (*.f64 l l))))
1.2b	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.0b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
16.9b	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (*.f64 l l)))

rewrite357.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

11.3b

Rules

320×	`add-exp-log_binary64`
183×	`prod-exp_binary64`
173×	`add-cbrt-cube_binary64`
87×	`cbrt-unprod_binary64`
82×	`div-exp_binary64`

Counts

4 → 192

Calls

4 calls:

13.0ms	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (*.f64 l l))))
12.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
11.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (*.f64 l l)))
5.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 5706 to 2173 computations (61.9% saved)

series201.0ms (0.8%)

Error

15.9b

Counts

4 → 38

Calls

4 calls:

75.0ms	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (*.f64 l l))))
62.0ms	(/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (*.f64 l l)))
24.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
19.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 1997 to 1442 computations (27.8% saved)

simplify247.0ms (1%)

Algorithm

1×	egg-herbie

Rules

817×	`fma-def_binary64`
594×	`times-frac_binary64`
341×	`associate-/r*_binary64`
307×	`associate-r_binary64`
299×	`associate-/l*_binary64`

Counts

230 → 200

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	322	8333
1	675	6296
2	3501	6282
3	4859	6278
4	5406	6278

prune140.0ms (0.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	191	9	200
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	195	12	207

Error

14.5b

Counts

207 → 12

Alt Table

Status	Error	Program
	20.2b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	35.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (*.f64 t t) l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	20.2b	(.f64 (/.f64 (cos.f64 k) (.f64 k k)) (/.f64 2 (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	35.7b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (*.f64 l l))) (tan.f64 k)) (/.f64 k t)) (/.f64 k t)))
	57.1b	(/.f64 2 (/.f64 (fma.f64 (.f64 t (pow.f64 k 6)) -1/3 (.f64 t (fma.f64 (pow.f64 k 8) 2/45 (pow.f64 k 4)))) (.f64 (.f64 l l) (cos.f64 k))))
	49.6b	(/.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)))
	19.5b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 (.f64 t (.f64 (sin.f64 k) (cbrt.f64 (sin.f64 k)))) (pow.f64 (cbrt.f64 (sin.f64 k)) 2))) (.f64 (cos.f64 k) (*.f64 l l))))
	19.4b	(/.f64 2 (.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (/.f64 1 (.f64 (.f64 l l) (cos.f64 k)))))
▶	19.3b	(/.f64 2 (/.f64 1 (/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	19.6b	(/.f64 2 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 l l) (cos.f64 k)))) (cbrt.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 l l) (cos.f64 k))))) (cbrt.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))))
	19.4b	(.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 l l) (cos.f64 k)))))
	20.3b	(.f64 (/.f64 (sqrt.f64 2) (/.f64 (.f64 k k) (cos.f64 k))) (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))

Compiler

Compiled 2524 to 1245 computations (50.7% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 2 (/.f64 1 (/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))))
1.2b	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.0b	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
17.0b	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))

rewrite650.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

11.3b

Rules

666×	`add-exp-log_binary64`
345×	`prod-exp_binary64`
249×	`div-exp_binary64`
191×	`add-cbrt-cube_binary64`
133×	`times-frac_binary64`

Counts

4 → 310

Calls

4 calls:

20.0ms	(/.f64 2 (/.f64 1 (/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))))
13.0ms	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))
9.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
5.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 9824 to 4437 computations (54.8% saved)

series230.0ms (0.9%)

Error

14.5b

Counts

4 → 38

Calls

4 calls:

80.0ms	(/.f64 2 (/.f64 1 (/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))))
72.0ms	(/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))
31.0ms	(.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2)))
20.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 2105 to 1553 computations (26.2% saved)

simplify327.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

581×	`times-frac_binary64`
345×	`associate-r_binary64`
337×	`associate-/r*_binary64`
328×	`fma-def_binary64`
266×	`associate-l_binary64`

Counts

348 → 317

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	447	12964
1	754	10770
2	3861	10764
3	5000	10764
4	4962	10764

prune198.0ms (0.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	316	1	317
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	316	13	329

Error

14.5b

Counts

329 → 13

Alt Table

Status	Error	Program
✓	19.3b	(/.f64 2 (/.f64 1 (/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (*.f64 t (pow.f64 (sin.f64 k) 2))))))
▶	18.4b	(/.f64 2 (/.f64 1 (/.f64 (.f64 (/.f64 (.f64 l l) (.f64 k k)) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	20.2b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	35.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (*.f64 t t) l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	20.2b	(.f64 (/.f64 (cos.f64 k) (.f64 k k)) (/.f64 2 (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	35.7b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (*.f64 l l))) (tan.f64 k)) (/.f64 k t)) (/.f64 k t)))
	57.1b	(/.f64 2 (/.f64 (fma.f64 (.f64 t (pow.f64 k 6)) -1/3 (.f64 t (fma.f64 (pow.f64 k 8) 2/45 (pow.f64 k 4)))) (.f64 (.f64 l l) (cos.f64 k))))
	49.6b	(/.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)))
	19.5b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 (.f64 t (.f64 (sin.f64 k) (cbrt.f64 (sin.f64 k)))) (pow.f64 (cbrt.f64 (sin.f64 k)) 2))) (.f64 (cos.f64 k) (*.f64 l l))))
	19.4b	(/.f64 2 (.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (/.f64 1 (.f64 (.f64 l l) (cos.f64 k)))))
	19.6b	(/.f64 2 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 l l) (cos.f64 k)))) (cbrt.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 l l) (cos.f64 k))))) (cbrt.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))))
	19.4b	(.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 l l) (cos.f64 k)))))
	20.3b	(.f64 (/.f64 (sqrt.f64 2) (/.f64 (.f64 k k) (cos.f64 k))) (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))

Compiler

Compiled 3357 to 1638 computations (51.2% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 2 (/.f64 1 (/.f64 (.f64 (/.f64 (.f64 l l) (.f64 k k)) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))))
1.2b	(*.f64 t (pow.f64 (sin.f64 k) 2))
5.9b	(/.f64 (.f64 (/.f64 (.f64 l l) (.f64 k k)) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))
14.9b	(/.f64 (.f64 l l) (.f64 k k))

rewrite467.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

4.2b

Rules

574×	`add-exp-log_binary64`
290×	`div-exp_binary64`
223×	`prod-exp_binary64`
159×	`add-cbrt-cube_binary64`
134×	`times-frac_binary64`

Counts

4 → 290

Calls

4 calls:

20.0ms	(/.f64 2 (/.f64 1 (/.f64 (.f64 (/.f64 (.f64 l l) (.f64 k k)) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))))
13.0ms	(/.f64 (.f64 (/.f64 (.f64 l l) (.f64 k k)) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))
5.0ms	(/.f64 (.f64 l l) (.f64 k k))
5.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

Compiler

Compiled 9119 to 3846 computations (57.8% saved)

series208.0ms (0.8%)

Error

14.5b

Counts

4 → 36

Calls

4 calls:

78.0ms	(/.f64 2 (/.f64 1 (/.f64 (.f64 (/.f64 (.f64 l l) (.f64 k k)) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))))
75.0ms	(/.f64 (.f64 (/.f64 (.f64 l l) (.f64 k k)) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))
21.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
18.0ms	(/.f64 (.f64 l l) (.f64 k k))

Compiler

Compiled 1957 to 1467 computations (25% saved)

simplify309.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

458×	`times-frac_binary64`
365×	`fma-def_binary64`
289×	`associate-/r*_binary64`
244×	`associate-/l*_binary64`
216×	`associate-r_binary64`

Counts

326 → 293

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	416	11923
1	721	10022
2	3437	9886
3	4750	9830
4	4977	9830

prune139.0ms (0.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	288	5	293
Fresh	4	7	11
Picked	1	0	1
Done	1	0	1
Total	294	12	306

Error

3.7b

Counts

306 → 12

Alt Table

Status	Error	Program
	20.2b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	35.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (*.f64 t t) l))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	20.2b	(.f64 (/.f64 (cos.f64 k) (.f64 k k)) (/.f64 2 (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	10.5b	(/.f64 2 (/.f64 1 (/.f64 (.f64 (/.f64 (.f64 (/.f64 l k) l) k) (cos.f64 k)) (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	35.7b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (*.f64 l l))) (tan.f64 k)) (/.f64 k t)) (/.f64 k t)))
	39.4b	(.f64 2 (fma.f64 (/.f64 l t) (/.f64 l (pow.f64 k 4)) (fma.f64 (/.f64 (.f64 l l) (.f64 (.f64 k k) t)) -1/6 (.f64 -7/120 (/.f64 (.f64 l l) t)))))
	7.5b	(/.f64 2 (/.f64 1 (/.f64 (.f64 (.f64 (fabs.f64 (/.f64 l k)) (fabs.f64 (/.f64 l k))) (cos.f64 k)) (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	19.4b	(/.f64 2 (.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (/.f64 1 (.f64 (.f64 l l) (cos.f64 k)))))
	46.4b	(exp.f64 (+.f64 (fma.f64 2 (log.f64 (/.f64 l k)) (log.f64 (/.f64 (cos.f64 k) (*.f64 t (pow.f64 (sin.f64 k) 2))))) (log.f64 2)))
	9.2b	(/.f64 2 (/.f64 1 (/.f64 (.f64 (/.f64 l (/.f64 k (/.f64 l k))) (cos.f64 k)) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	20.3b	(.f64 (/.f64 (sqrt.f64 2) (/.f64 (.f64 k k) (cos.f64 k))) (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (*.f64 l l) t))))
	49.6b	(/.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)))

Compiler

Compiled 2762 to 1216 computations (56% saved)

regimes2.4s (9.3%)

Accuracy

Total 4.1b remaining (43.1%)

Threshold costs 0b (0%)

Compiler

Compiled 52752 to 35862 computations (32% saved)

bsearch15.0ms (0.1%)

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

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
1×	`sqr-abs_binary64`
1×	`fabs-div_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	114
1	49	114
2	48	114

end1.0ms (0%)

Compiler: Compiled 78 to 45 computations (42.3% saved)

sample14.9s (58.3%)

Algorithm

1×

intervals

Results

4.8s	1225×	body	4096	invalid
3.0s	3867×	body	1024	valid
2.0s	1008×	body	2048	invalid
1.2s	1024×	body	2048	valid
1.1s	479×	body	4096	valid
694.0ms	1388×	body	512	valid
480.0ms	652×	body	1024	invalid
255.0ms	471×	body	512	invalid
169.0ms	992×	body	128	invalid
153.0ms	481×	body	256	valid
135.0ms	277×	body	256	invalid
123.0ms	761×	body	128	valid

Compiler

Compiled 415 to 279 computations (32.8% saved)

Details

analyze3.4s (13.2%)

sample443.0ms (1.7%)

simplify40.0ms (0.2%)

prune4.0ms (0%)

localize16.0ms (0.1%)

rewrite326.0ms (1.3%)

series203.0ms (0.8%)

simplify203.0ms (0.8%)

prune151.0ms (0.6%)

localize16.0ms (0.1%)

rewrite357.0ms (1.4%)

series201.0ms (0.8%)

simplify247.0ms (1%)

prune140.0ms (0.5%)

localize19.0ms (0.1%)

rewrite650.0ms (2.5%)

series230.0ms (0.9%)

simplify327.0ms (1.3%)

prune198.0ms (0.8%)

localize17.0ms (0.1%)

rewrite467.0ms (1.8%)

series208.0ms (0.8%)

simplify309.0ms (1.2%)

prune139.0ms (0.5%)

regimes2.4s (9.3%)

bsearch15.0ms (0.1%)

simplify5.0ms (0%)

end1.0ms (0%)

sample14.9s (58.3%)

Profiling