Details

analyze2.9s (13%)

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)

sample175.0ms (0.8%)

Algorithm

1×

intervals

Results

62.0ms	86×	body	1024	valid
50.0ms	112×	body	128	valid
19.0ms	33×	body	512	valid
8.0ms	50×	body	128	invalid
8.0ms	24×	body	256	valid
2.0ms	3×	body	1024	invalid
2.0ms	6×	body	256	invalid
1.0ms	1×	body	2048	valid
1.0ms	2×	body	512	invalid

Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify67.0ms (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

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

35.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	35.5b	(/.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)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.1b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
3.9b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
13.1b	(.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)))
18.5b	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite277.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

20.2b

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:

21.0ms	(.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))
9.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
6.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 4442 to 2333 computations (47.5% saved)

series300.0ms (1.4%)

Error

23.9b

Counts

4 → 41

Calls

4 calls:

135.0ms	(.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)))
73.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
46.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
25.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2596 to 1974 computations (24% saved)

simplify210.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

563×	`associate-l_binary64`
483×	`unswap-sqr_binary64`
417×	`associate-r_binary64`
256×	`log-prod_binary64`
245×	`*-commutative_binary64`

Counts

200 → 153

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	5790
1	782	5002
2	3556	4951
3	4880	4951
4	5102	4951

prune112.0ms (0.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	145	8	153
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	146	8	154

Error

15.4b

Counts

154 → 8

Alt Table

Status	Error	Program
▶	25.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (*.f64 t t) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	43.8b	(/.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))))
	34.6b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 (pow.f64 t 3) (sin.f64 k)))) (.f64 l l)))
	31.6b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
	28.0b	(/.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))))
	31.2b	(/.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))))
	42.6b	(/.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)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	40.7b	(.f64 (/.f64 1 (pow.f64 t 3)) (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) (.f64 l l))))

Compiler

Compiled 2253 to 1294 computations (42.6% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.9b	(.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (tan.f64 k))
4.2b	(.f64 (sin.f64 k) (/.f64 (.f64 t t) l))
10.0b	(/.f64 (*.f64 t t) l)
13.1b	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (*.f64 t t) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite300.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

9.0b

Rules

113×	`add-cbrt-cube_binary64`
113×	`add-exp-log_binary64`
65×	`cbrt-unprod_binary64`
65×	`prod-exp_binary64`
34×	`frac-times_binary64`

Counts

4 → 151

Calls

4 calls:

30.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (*.f64 t t) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
16.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (tan.f64 k))
7.0ms	(.f64 (sin.f64 k) (/.f64 (.f64 t t) l))
4.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 5449 to 1804 computations (66.9% saved)

series287.0ms (1.3%)

Error

15.4b

Counts

4 → 41

Calls

4 calls:

141.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (*.f64 t t) l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
76.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (tan.f64 k))
39.0ms	(.f64 (sin.f64 k) (/.f64 (.f64 t t) l))
17.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 2658 to 1963 computations (26.1% saved)

simplify250.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

686×	`associate-r_binary64`
555×	`distribute-rgt-in_binary64`
367×	`*-commutative_binary64`
220×	`associate-*l/_binary64`
213×	`distribute-lft-in_binary64`

Counts

192 → 171

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	7110
1	984	5351
2	3426	5257
3	4715	5257
4	4999	5257
5	4951	5257

prune145.0ms (0.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	160	11	171
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	165	14	179

Error

9.6b

Counts

179 → 14

Alt Table

Status	Error	Program
	52.4b	(/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 (/.f64 t l) (-.f64 (/.f64 (.f64 k (.f64 t t)) l) (.f64 1/6 (/.f64 (.f64 (.f64 t t) (pow.f64 k 3)) l)))))))
▶	17.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (*.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	43.8b	(/.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))))
	50.5b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t (sqrt.f64 l)) (sqrt.f64 (sin.f64 k))) (.f64 (/.f64 t (sqrt.f64 l)) (sqrt.f64 (sin.f64 k))))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	18.5b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (sin.f64 k) (*.f64 t (/.f64 t l))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	19.5b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 (/.f64 t (.f64 (cbrt.f64 l) (cbrt.f64 l))) t) (cbrt.f64 l)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	34.6b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 (pow.f64 t 3) (sin.f64 k)))) (.f64 l l)))
	31.6b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
	30.3b	(/.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))
	39.6b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (.f64 (sqrt.f64 (.f64 t (/.f64 t l))) (sqrt.f64 (*.f64 t (/.f64 t l)))))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	33.6b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (/.f64 (.f64 (pow.f64 (sin.f64 k) 2) (pow.f64 t 3)) l)) (*.f64 l (cos.f64 k))))
	28.4b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (cbrt.f64 (pow.f64 (*.f64 t (/.f64 t l)) 3)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	18.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 k) (.f64 t (/.f64 t l)))) (cbrt.f64 (.f64 (sin.f64 k) (.f64 t (/.f64 t l))))) (cbrt.f64 (.f64 (sin.f64 k) (*.f64 t (/.f64 t l)))))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.5b	(/.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))))))

Compiler

Compiled 3207 to 1715 computations (46.5% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (*.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
0.7b	(.f64 (.f64 t (sin.f64 k)) (/.f64 t l))
3.9b	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k))
13.1b	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (*.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite469.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

7.4b

Rules

215×	`add-cbrt-cube_binary64`
215×	`add-exp-log_binary64`
129×	`cbrt-unprod_binary64`
129×	`prod-exp_binary64`
63×	`frac-times_binary64`

Counts

4 → 211

Calls

4 calls:

29.0ms	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (*.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
26.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (*.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
14.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k))
9.0ms	(.f64 (.f64 t (sin.f64 k)) (/.f64 t l))

Compiler

Compiled 8347 to 2744 computations (67.1% saved)

series375.0ms (1.7%)

Error

9.6b

Counts

4 → 45

Calls

4 calls:

141.0ms	(.f64 (.f64 (.f64 (/.f64 t l) (.f64 (*.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
103.0ms	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (*.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
74.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k))
37.0ms	(.f64 (.f64 t (sin.f64 k)) (/.f64 t l))

Compiler

Compiled 3012 to 2251 computations (25.3% saved)

simplify281.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

563×	`distribute-rgt-in_binary64`
474×	`*-commutative_binary64`
383×	`associate-/r*_binary64`
223×	`associate-*l/_binary64`
221×	`distribute-lft-in_binary64`

Counts

256 → 238

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	409	11207
1	1187	8497
2	3577	8447
3	4592	8447
4	4966	8447

prune245.0ms (1.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	230	8	238
Fresh	7	6	13
Picked	0	1	1
Done	0	0	0
Total	237	15	252

Error

7.4b

Counts

252 → 15

Alt Table

Status	Error	Program
	52.4b	(/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 (/.f64 t l) (-.f64 (/.f64 (.f64 k (.f64 t t)) l) (.f64 1/6 (/.f64 (.f64 (.f64 t t) (pow.f64 k 3)) l)))))))
✓	17.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (*.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	43.8b	(/.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))))
	25.9b	(.f64 (sqrt.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 (/.f64 t l) (.f64 (/.f64 t l) (.f64 t (sin.f64 k)))))))) (sqrt.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 (/.f64 t l) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k)))))))))
	22.2b	(.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 t (.f64 (/.f64 t l) (.f64 t (sin.f64 k))))))) l)
	31.6b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
	30.3b	(/.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))
	32.6b	(.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 t (.f64 t (.f64 t (sin.f64 k))))))) (*.f64 l l))
	30.7b	(.f64 (/.f64 2 (.f64 (-.f64 4 (pow.f64 (/.f64 k t) 4)) (.f64 (tan.f64 k) (.f64 t (.f64 (/.f64 t l) (.f64 t (sin.f64 k))))))) (*.f64 l (-.f64 2 (pow.f64 (/.f64 k t) 2))))
	17.9b	(.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 (/.f64 t l) (.f64 (/.f64 t l) (.f64 t (sin.f64 k)))))))) (cbrt.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 (/.f64 t l) (.f64 (/.f64 t l) (.f64 t (sin.f64 k))))))))) (cbrt.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 (/.f64 t l) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k)))))))))
	18.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 k) (.f64 t (/.f64 t l)))) (cbrt.f64 (.f64 (sin.f64 k) (.f64 t (/.f64 t l))))) (cbrt.f64 (.f64 (sin.f64 k) (*.f64 t (/.f64 t l)))))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
▶	15.2b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (tan.f64 k) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.5b	(/.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))))))
	17.7b	(/.f64 2 (.f64 (.f64 (.f64 (tan.f64 k) (.f64 (/.f64 t l) (.f64 (/.f64 t l) (.f64 t (sin.f64 k))))) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	17.8b	(/.f64 (sqrt.f64 2) (.f64 (/.f64 (.f64 (tan.f64 k) (.f64 (/.f64 t l) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))))) (sqrt.f64 2)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 4380 to 1998 computations (54.4% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(.f64 (/.f64 t l) (.f64 t (sin.f64 k)))
1.3b	(.f64 (/.f64 t l) (.f64 (tan.f64 k) (.f64 (/.f64 t l) (.f64 t (sin.f64 k)))))
1.6b	(.f64 (tan.f64 k) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))))
13.1b	(.f64 (.f64 (/.f64 t l) (.f64 (tan.f64 k) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite425.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

7.2b

Rules

160×	`add-cbrt-cube_binary64`
160×	`add-exp-log_binary64`
98×	`cbrt-unprod_binary64`
98×	`prod-exp_binary64`
52×	`pow1_binary64`

Counts

4 → 187

Calls

4 calls:

23.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (tan.f64 k) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
17.0ms	(.f64 (/.f64 t l) (.f64 (tan.f64 k) (.f64 (/.f64 t l) (.f64 t (sin.f64 k)))))
8.0ms	(.f64 (tan.f64 k) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))))
7.0ms	(.f64 (/.f64 t l) (.f64 t (sin.f64 k)))

Compiler

Compiled 6690 to 2057 computations (69.3% saved)

series357.0ms (1.6%)

Error

7.4b

Counts

4 → 45

Calls

4 calls:

140.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (tan.f64 k) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
81.0ms	(.f64 (/.f64 t l) (.f64 (tan.f64 k) (.f64 (/.f64 t l) (.f64 t (sin.f64 k)))))
67.0ms	(.f64 (tan.f64 k) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))))
40.0ms	(.f64 (/.f64 t l) (.f64 t (sin.f64 k)))

Compiler

Compiled 2949 to 2179 computations (26.1% saved)

simplify300.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

804×	`distribute-rgt-in_binary64`
567×	`*-commutative_binary64`
325×	`associate-*l/_binary64`
286×	`distribute-lft-in_binary64`
242×	`associate-*r/_binary64`

Counts

232 → 219

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	339	8864
1	1170	6911
2	3389	6887
3	4492	6881
4	4961	6881
5	4959	6881

prune244.0ms (1.1%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	217	2	219
Fresh	2	11	13
Picked	0	1	1
Done	0	1	1
Total	219	15	234

Error

7.2b

Counts

234 → 15

Alt Table

Status	Error	Program
	52.4b	(/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 (/.f64 t l) (-.f64 (/.f64 (.f64 k (.f64 t t)) l) (.f64 1/6 (/.f64 (.f64 (.f64 t t) (pow.f64 k 3)) l)))))))
✓	17.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (*.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	43.8b	(/.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))))
	25.9b	(.f64 (sqrt.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 (/.f64 t l) (.f64 (/.f64 t l) (.f64 t (sin.f64 k)))))))) (sqrt.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 (/.f64 t l) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k)))))))))
	30.3b	(/.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))
	32.6b	(.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 t (.f64 t (.f64 t (sin.f64 k))))))) (*.f64 l l))
	30.7b	(.f64 (/.f64 2 (.f64 (-.f64 4 (pow.f64 (/.f64 k t) 4)) (.f64 (tan.f64 k) (.f64 t (.f64 (/.f64 t l) (.f64 t (sin.f64 k))))))) (*.f64 l (-.f64 2 (pow.f64 (/.f64 k t) 2))))
	17.9b	(.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 (/.f64 t l) (.f64 (/.f64 t l) (.f64 t (sin.f64 k)))))))) (cbrt.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 (/.f64 t l) (.f64 (/.f64 t l) (.f64 t (sin.f64 k))))))))) (cbrt.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (.f64 (/.f64 t l) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k)))))))))
	17.9b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (tan.f64 k) (.f64 (/.f64 1 (.f64 (cbrt.f64 l) (cbrt.f64 l))) (.f64 (*.f64 t (sin.f64 k)) (/.f64 t (cbrt.f64 l)))))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	25.2b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 t (.f64 (tan.f64 k) (/.f64 (.f64 (sin.f64 k) (*.f64 t t)) l)))) l))
✓	15.2b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (tan.f64 k) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.5b	(/.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))))))
	17.7b	(/.f64 2 (.f64 (.f64 (.f64 (tan.f64 k) (.f64 (/.f64 t l) (.f64 (/.f64 t l) (.f64 t (sin.f64 k))))) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	17.8b	(/.f64 (sqrt.f64 2) (.f64 (/.f64 (.f64 (tan.f64 k) (.f64 (/.f64 t l) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))))) (sqrt.f64 2)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	31.6b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))

Compiler

Compiled 3742 to 1588 computations (57.6% saved)

regimes9.3s (42.1%)

Accuracy

Total 3.3b remaining (30.1%)

Threshold costs 0b (0%)

Compiler

Compiled 75692 to 49816 computations (34.2% saved)

bsearch265.0ms (1.2%)

Steps

Iters	Range		Point
7	5.5072486070031016e-148	2.9219785706257406e-146	2.6991301715389753e-146
8	-1.659630973847145e-163	-5.656594163144127e-166	-1.0709717355558108e-163

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	134
1	63	134
2	62	134

end3.0ms (0%)

Compiler: Compiled 91 to 54 computations (40.7% saved)

sample4.8s (21.6%)

Algorithm

1×

intervals

Results

2.2s	2597×	body	1024	valid
641.0ms	3555×	body	128	valid
618.0ms	1216×	body	512	valid
236.0ms	1419×	body	128	invalid
207.0ms	626×	body	256	valid
65.0ms	132×	body	512	invalid
46.0ms	62×	body	1024	invalid
37.0ms	114×	body	256	invalid
7.0ms	6×	body	2048	valid

Compiler

Compiled 665 to 415 computations (37.6% saved)

Details

analyze2.9s (13%)

sample175.0ms (0.8%)

simplify67.0ms (0.3%)

prune4.0ms (0%)

localize18.0ms (0.1%)

rewrite277.0ms (1.2%)

series300.0ms (1.4%)

simplify210.0ms (0.9%)

prune112.0ms (0.5%)

localize19.0ms (0.1%)

rewrite300.0ms (1.4%)

series287.0ms (1.3%)

simplify250.0ms (1.1%)

prune145.0ms (0.7%)

localize21.0ms (0.1%)

rewrite469.0ms (2.1%)

series375.0ms (1.7%)

simplify281.0ms (1.3%)

prune245.0ms (1.1%)

localize18.0ms (0.1%)

rewrite425.0ms (1.9%)

series357.0ms (1.6%)

simplify300.0ms (1.4%)

prune244.0ms (1.1%)

regimes9.3s (42.1%)

bsearch265.0ms (1.2%)

simplify5.0ms (0%)

end3.0ms (0%)

sample4.8s (21.6%)

Profiling