Details

analyze3.5s (20.6%)

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
1.6%	98.3%	0.1%	8
2.3%	97.5%	0.1%	9
7.4%	90.9%	1.7%	10
9.2%	87.4%	3.5%	11
11.7%	83.5%	4.8%	12
15.2%	76%	8.8%	13
16.4%	72%	11.6%	14

Compiler

Compiled 29 to 22 computations (24.1% saved)

sample141.0ms (0.8%)

Algorithm

1×

intervals

Results

67.0ms	92×	body	1024	valid
21.0ms	114×	body	128	valid
18.0ms	33×	body	512	valid
9.0ms	60×	body	128	invalid
5.0ms	17×	body	256	valid
4.0ms	5×	body	1024	invalid
2.0ms	4×	body	512	invalid
2.0ms	5×	body	256	invalid

Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

627×	`distribute-rgt-in_binary64`
623×	`distribute-lft-in_binary64`
431×	`associate-/r/_binary64`
404×	`associate-/r*_binary64`
371×	`distribute-rgt-out_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	38
1	54	35
2	178	35
3	866	35
4	3022	35
5	4621	35
6	4981	35
7	4935	35

prune3.0ms (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

34.9b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	34.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 78 to 57 computations (26.9% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.5b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
3.4b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
15.5b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
18.3b	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite312.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

21.0b

Rules

108×	`add-exp-log_binary64`
58×	`prod-exp_binary64`
52×	`add-cbrt-cube_binary64`
28×	`times-frac_binary64`
26×	`add-sqr-sqrt_binary64`

Counts

4 → 159

Calls

4 calls:

18.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (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))

Compiler

Compiled 4442 to 2333 computations (47.5% saved)

series289.0ms (1.7%)

Error

26.4b

Counts

4 → 42

Calls

4 calls:

133.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
71.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
42.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
21.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2755 to 2097 computations (23.9% saved)

simplify163.0ms (1%)

Algorithm

1×	egg-herbie

Rules

552×	`associate-l_binary64`
511×	`unswap-sqr_binary64`
407×	`associate-r_binary64`
248×	`log-prod_binary64`
232×	`*-commutative_binary64`

Counts

201 → 161

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	270	5324
1	737	4560
2	3342	4509
3	4827	4509
4	5040	4509

prune100.0ms (0.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	152	9	161
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	153	9	162

Error

16.9b

Counts

162 → 9

Alt Table

Status	Error	Program
▶	25.6b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	45.6b	(/.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)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	55.7b	(/.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)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	33.6b	(/.f64 2 (+.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 l l) (cos.f64 k))) (.f64 2 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 k) 2)) (.f64 (*.f64 l l) (cos.f64 k))))))
	35.4b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
	26.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l (/.f64 (.f64 t t) l))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	28.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) (/.f64 l (/.f64 t l))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	46.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) (/.f64 l (/.f64 (.f64 t (sqrt.f64 t)) l))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	31.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 1 l) (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 2640 to 1508 computations (42.9% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.6b	(*.f64 (sin.f64 k) (/.f64 t l))
3.4b	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
8.3b	(/.f64 (*.f64 t t) l)
15.5b	(.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite300.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

11.5b

Rules

120×	`add-cbrt-cube_binary64`
120×	`add-exp-log_binary64`
70×	`cbrt-unprod_binary64`
70×	`prod-exp_binary64`
34×	`frac-times_binary64`

Counts

4 → 159

Calls

4 calls:

26.0ms	(.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
13.0ms	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
7.0ms	(*.f64 (sin.f64 k) (/.f64 t l))
3.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 5763 to 1898 computations (67.1% saved)

series283.0ms (1.6%)

Error

16.8b

Counts

4 → 43

Calls

4 calls:

140.0ms	(.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
69.0ms	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
37.0ms	(*.f64 (sin.f64 k) (/.f64 t l))
18.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 2910 to 2115 computations (27.3% saved)

simplify210.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

675×	`associate-r_binary64`
487×	`distribute-rgt-in_binary64`
343×	`*-commutative_binary64`
223×	`associate-*l/_binary64`
182×	`distribute-lft-in_binary64`

Counts

202 → 164

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	333	6738
1	997	4960
2	3402	4866
3	4576	4866
4	4989	4866
5	4953	4866

prune139.0ms (0.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	155	9	164
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	160	13	173

Error

12.5b

Counts

173 → 13

Alt Table

Status	Error	Program
	25.1b	(/.f64 2 (.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (sin.f64 k) (/.f64 t l))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))
	55.7b	(/.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)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	42.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (-.f64 (/.f64 (.f64 k t) l) (.f64 1/6 (/.f64 (*.f64 t (pow.f64 k 3)) l)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	46.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) (/.f64 l (/.f64 (.f64 t (sqrt.f64 t)) l))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	29.1b	(/.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (.f64 l l)) (+.f64 (/.f64 (.f64 (.f64 k k) t) (cos.f64 k)) (*.f64 2 (/.f64 (pow.f64 t 3) (cos.f64 k))))))
	45.8b	(/.f64 2 (.f64 (.f64 (.f64 (exp.f64 (log.f64 (/.f64 (.f64 t t) l))) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	31.1b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (/.f64 (*.f64 (pow.f64 t 3) (sin.f64 k)) l))) l))
	33.6b	(/.f64 2 (+.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 l l) (cos.f64 k))) (.f64 2 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 k) 2)) (.f64 (*.f64 l l) (cos.f64 k))))))
	26.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l (/.f64 (.f64 t t) l))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	46.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (+.f64 (-.f64 (/.f64 (.f64 k t) l) (.f64 1/6 (/.f64 (.f64 t (pow.f64 k 3)) l))) (.f64 1/120 (/.f64 (*.f64 t (pow.f64 k 5)) l)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.4b	(/.f64 2 (.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (/.f64 (*.f64 t (sin.f64 k)) l) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	21.6b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l))) t) (cbrt.f64 l)) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
▶	20.2b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 3152 to 1749 computations (44.5% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l)))
2.6b	(*.f64 (sin.f64 k) (/.f64 t l))
3.4b	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
15.5b	(.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite362.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

10.6b

Rules

151×	`add-cbrt-cube_binary64`
151×	`add-exp-log_binary64`
96×	`cbrt-unprod_binary64`
96×	`prod-exp_binary64`
61×	`pow1_binary64`

Counts

4 → 177

Calls

4 calls:

23.0ms	(.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
15.0ms	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
8.0ms	(.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l)))
6.0ms	(*.f64 (sin.f64 k) (/.f64 t l))

Compiler

Compiled 6271 to 1950 computations (68.9% saved)

series300.0ms (1.7%)

Error

12.5b

Counts

4 → 47

Calls

4 calls:

137.0ms	(.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
68.0ms	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
41.0ms	(.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l)))
34.0ms	(*.f64 (sin.f64 k) (/.f64 t l))

Compiler

Compiled 3163 to 2324 computations (26.5% saved)

simplify221.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

869×	`times-frac_binary64`
503×	`distribute-rgt-in_binary64`
459×	`*-commutative_binary64`
200×	`distribute-lft-in_binary64`
144×	`log-prod_binary64`

Counts

224 → 195

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	325	7748
1	1028	5628
2	2548	5604
3	4496	5604
4	4972	5604
5	4994	5604

prune168.0ms (1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	190	5	195
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	193	15	208

Error

11.0b

Counts

208 → 15

Alt Table

Status	Error	Program
	29.1b	(/.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (.f64 l l)) (+.f64 (/.f64 (.f64 (.f64 k k) t) (cos.f64 k)) (*.f64 2 (/.f64 (pow.f64 t 3) (cos.f64 k))))))
	33.5b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 (.f64 t t) (.f64 t (sin.f64 k))))) (.f64 l l)))
	25.1b	(/.f64 2 (.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (sin.f64 k) (/.f64 t l))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))
	55.7b	(/.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)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	39.3b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (-.f64 (/.f64 (.f64 k t) l) (.f64 1/6 (/.f64 (*.f64 t (pow.f64 k 3)) l)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	33.6b	(/.f64 2 (+.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 l l) (cos.f64 k))) (.f64 2 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 k) 2)) (.f64 (*.f64 l l) (cos.f64 k))))))
	21.6b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l))) t) (cbrt.f64 l)) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
▶	19.3b	(/.f64 2 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))
	31.1b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (/.f64 (*.f64 (pow.f64 t 3) (sin.f64 k)) l))) l))
	20.4b	(/.f64 2 (.f64 (.f64 (.f64 t (.f64 (/.f64 (*.f64 t (sin.f64 k)) l) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l (/.f64 (.f64 t t) l))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	46.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (+.f64 (-.f64 (/.f64 (.f64 k t) l) (.f64 1/6 (/.f64 (.f64 t (pow.f64 k 3)) l))) (.f64 1/120 (/.f64 (*.f64 t (pow.f64 k 5)) l)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	46.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) (/.f64 l (/.f64 (.f64 t (sqrt.f64 t)) l))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	21.6b	(/.f64 2 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 (*.f64 t (sin.f64 k)) l) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.4b	(/.f64 2 (.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (/.f64 (*.f64 t (sin.f64 k)) l) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 3522 to 1901 computations (46% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 2 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))
0.6b	(.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l)))
2.6b	(*.f64 (sin.f64 k) (/.f64 t l))
18.0b	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k)))

rewrite495.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

9.6b

Rules

275×	`add-cbrt-cube_binary64`
275×	`add-exp-log_binary64`
167×	`cbrt-unprod_binary64`
167×	`prod-exp_binary64`
84×	`associate-*r/_binary64`

Counts

4 → 232

Calls

4 calls:

23.0ms	(/.f64 2 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))
21.0ms	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k)))
10.0ms	(.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l)))
6.0ms	(*.f64 (sin.f64 k) (/.f64 t l))

Compiler

Compiled 9416 to 3286 computations (65.1% saved)

series350.0ms (2%)

Error

11.0b

Counts

4 → 47

Calls

4 calls:

134.0ms	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k)))
107.0ms	(/.f64 2 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))
45.0ms	(.f64 (.f64 t (/.f64 t l)) (*.f64 (sin.f64 k) (/.f64 t l)))
34.0ms	(*.f64 (sin.f64 k) (/.f64 t l))

Compiler

Compiled 3235 to 2366 computations (26.9% saved)

simplify284.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

550×	`distribute-rgt-in_binary64`
519×	`associate-/r*_binary64`
431×	`*-commutative_binary64`
205×	`associate-/l*_binary64`
185×	`times-frac_binary64`

Counts

279 → 251

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	408	12407
1	1121	8290
2	3320	8242
3	4763	8242
4	4985	8242
5	4980	8242

prune230.0ms (1.3%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	245	6	251
Fresh	4	10	14
Picked	0	1	1
Done	0	0	0
Total	249	17	266

Error

10.3b

Counts

266 → 17

Alt Table

Status	Error	Program
	29.1b	(/.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (.f64 l l)) (+.f64 (/.f64 (.f64 (.f64 k k) t) (cos.f64 k)) (*.f64 2 (/.f64 (pow.f64 t 3) (cos.f64 k))))))
	33.5b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 (.f64 t t) (.f64 t (sin.f64 k))))) (.f64 l l)))
	19.2b	(/.f64 2 (.f64 (.f64 (.f64 t (/.f64 (.f64 t (sin.f64 k)) l)) (/.f64 t l)) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))
	20.4b	(/.f64 2 (.f64 (.f64 (.f64 t (.f64 (/.f64 (*.f64 t (sin.f64 k)) l) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	41.5b	(/.f64 2 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sqrt.f64 (sin.f64 k)) (.f64 (/.f64 t l) (sqrt.f64 (sin.f64 k))))) (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))
	46.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) (/.f64 l (/.f64 (.f64 t (sqrt.f64 t)) l))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	33.5b	(.f64 (/.f64 2 (.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k)) (.f64 (.f64 t t) (.f64 t (sin.f64 k))))) (*.f64 l l))
	31.3b	(.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 (pow.f64 t 3) l) (/.f64 l (sin.f64 k)))) (/.f64 (sqrt.f64 2) (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))
	26.4b	(/.f64 2 (.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (/.f64 (*.f64 t (sin.f64 k)) l) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	21.6b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l))) t) (cbrt.f64 l)) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	19.3b	(/.f64 2 (.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))
	25.1b	(/.f64 2 (.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (sin.f64 k) (/.f64 t l))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))
	31.1b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (/.f64 (*.f64 (pow.f64 t 3) (sin.f64 k)) l))) l))
	33.6b	(/.f64 2 (+.f64 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (.f64 l l) (cos.f64 k))) (.f64 2 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 k) 2)) (.f64 (*.f64 l l) (cos.f64 k))))))
	18.4b	(/.f64 2 (.f64 (.f64 t (/.f64 t l)) (.f64 (/.f64 (.f64 t (sin.f64 k)) l) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k)))))
	26.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l (/.f64 (.f64 t t) l))) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	31.1b	(.f64 (/.f64 2 (.f64 (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k)) (/.f64 (pow.f64 t 3) (/.f64 l (sin.f64 k))))) l)

Compiler

Compiled 3658 to 1931 computations (47.2% saved)

regimes4.4s (25.5%)

Accuracy

Total 4.7b remaining (34.3%)

Threshold costs 0b (0%)

Compiler

Compiled 74426 to 49201 computations (33.9% saved)

bsearch197.0ms (1.1%)

Steps

Iters	Range		Point
6	2.769714035666217e-30	3.2950619785260696e-29	2.8134686211559097e-30
8	-1.0257207911297785e-180	-4.168784624400906e-185	-9.981442039500454e-181

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	131
1	60	131
2	60	131

end2.0ms (0%)

Compiler: Compiled 89 to 53 computations (40.4% saved)

sample4.6s (26.6%)

Algorithm

1×

intervals

Results

2.1s	2748×	body	1024	valid
574.0ms	3517×	body	128	valid
568.0ms	1153×	body	512	valid
234.0ms	1458×	body	128	invalid
198.0ms	574×	body	256	valid
74.0ms	136×	body	512	invalid
50.0ms	74×	body	1024	invalid
31.0ms	99×	body	256	invalid
9.0ms	8×	body	2048	valid

Compiler

Compiled 626 to 418 computations (33.2% saved)

Details

analyze3.5s (20.6%)

sample141.0ms (0.8%)

simplify59.0ms (0.3%)

prune3.0ms (0%)

localize20.0ms (0.1%)

rewrite312.0ms (1.8%)

series289.0ms (1.7%)

simplify163.0ms (1%)

prune100.0ms (0.6%)

localize18.0ms (0.1%)

rewrite300.0ms (1.7%)

series283.0ms (1.6%)

simplify210.0ms (1.2%)

prune139.0ms (0.8%)

localize18.0ms (0.1%)

rewrite362.0ms (2.1%)

series300.0ms (1.7%)

simplify221.0ms (1.3%)

prune168.0ms (1%)

localize18.0ms (0.1%)

rewrite495.0ms (2.9%)

series350.0ms (2%)

simplify284.0ms (1.7%)

prune230.0ms (1.3%)

regimes4.4s (25.5%)

bsearch197.0ms (1.1%)

simplify5.0ms (0%)

end2.0ms (0%)

sample4.6s (26.6%)

Profiling