Details

analyze2.1s (12.5%)

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)

sample107.0ms (0.6%)

Algorithm

1×

intervals

Results

42.0ms	86×	body	1024	valid
21.0ms	41×	body	512	valid
14.0ms	113×	body	128	valid
6.0ms	49×	body	128	invalid
4.0ms	16×	body	256	valid
2.0ms	4×	body	1024	invalid
2.0ms	5×	body	512	invalid
0.0ms	2×	body	256	invalid

Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify61.0ms (0.4%)

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

prune5.0ms (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

34.6b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	34.6b	(/.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)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.9b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
3.1b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
14.6b	(.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)))
17.8b	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite361.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

20.0b

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:

24.0ms	(.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)))
12.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
11.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
11.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 4442 to 2333 computations (47.5% saved)

series385.0ms (2.3%)

Error

23.5b

Counts

4 → 47

Calls

4 calls:

170.0ms	(.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)))
91.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
59.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
28.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 3178 to 2420 computations (23.9% saved)

simplify163.0ms (1%)

Algorithm

1×	egg-herbie

Rules

613×	`unswap-sqr_binary64`
571×	`associate-l_binary64`
436×	`associate-r_binary64`
246×	`*-commutative_binary64`
177×	`associate-/l*_binary64`

Counts

206 → 166

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	5725
1	848	4961
2	3784	4910
3	5225	4910

prune163.0ms (1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	158	8	166
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	159	8	167

Error

14.8b

Counts

167 → 8

Alt Table

Status	Error	Program
	24.3b	(/.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)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	42.4b	(/.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)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	34.7b	(/.f64 2 (.f64 (.f64 (cbrt.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)))) (cbrt.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))))) (cbrt.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))))))
	34.2b	(/.f64 2 (.f64 (.f64 (.f64 (pow.f64 t 3) (/.f64 (sin.f64 k) (.f64 l l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	52.2b	(/.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))))
▶	24.2b	(/.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))))
	27.2b	(/.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))))
	34.8b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))

Compiler

Compiled 2967 to 1700 computations (42.7% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.8b	(*.f64 (sin.f64 k) (/.f64 t l))
3.1b	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
8.3b	(/.f64 (*.f64 t t) l)
14.6b	(.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)))

rewrite399.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

9.8b

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:

29.0ms	(.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)))
19.0ms	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
8.0ms	(*.f64 (sin.f64 k) (/.f64 t l))
5.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 5763 to 1898 computations (67.1% saved)

series356.0ms (2.1%)

Error

14.7b

Counts

4 → 47

Calls

4 calls:

169.0ms	(.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)))
93.0ms	(.f64 (.f64 (/.f64 (.f64 t t) l) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
42.0ms	(*.f64 (sin.f64 k) (/.f64 t l))
20.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 3206 to 2333 computations (27.2% saved)

simplify209.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

692×	`associate-r_binary64`
485×	`distribute-rgt-in_binary64`
353×	`*-commutative_binary64`
238×	`associate-*l/_binary64`
188×	`associate-/l*_binary64`

Counts

206 → 168

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	360	7060
1	1085	5282
2	3711	5188
3	4939	5188
4	5014	5188

prune191.0ms (1.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	160	8	168
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	163	13	176

Error

10.0b

Counts

176 → 13

Alt Table

Status	Error	Program
	32.1b	(/.f64 2 (.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 t t) l) 3)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	42.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 (/.f64 t (sqrt.f64 l)) t) (sqrt.f64 l)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	24.3b	(/.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)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	25.0b	(/.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))))
	20.9b	(/.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))))
	42.4b	(/.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)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	27.2b	(/.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))))))
	34.7b	(/.f64 2 (.f64 (.f64 (cbrt.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)))) (cbrt.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))))) (cbrt.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))))))
▶	18.8b	(/.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))))
	34.2b	(/.f64 2 (.f64 (.f64 (.f64 (pow.f64 t 3) (/.f64 (sin.f64 k) (.f64 l l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	28.9b	(/.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))
	24.0b	(/.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))))
	34.8b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))

Compiler

Compiled 3407 to 1894 computations (44.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.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))))
2.8b	(*.f64 (sin.f64 k) (/.f64 t l))
3.1b	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
14.6b	(.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)))

rewrite642.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

9.2b

Rules

187×	`add-cbrt-cube_binary64`
187×	`add-exp-log_binary64`
117×	`cbrt-unprod_binary64`
117×	`prod-exp_binary64`
82×	`associate-*r/_binary64`

Counts

4 → 206

Calls

4 calls:

35.0ms	(/.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))))
30.0ms	(.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)))
17.0ms	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
8.0ms	(*.f64 (sin.f64 k) (/.f64 t l))

Compiler

Compiled 7986 to 2659 computations (66.7% saved)

series466.0ms (2.8%)

Error

10.0b

Counts

4 → 51

Calls

4 calls:

165.0ms	(.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)))
124.0ms	(/.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))))
90.0ms	(.f64 (.f64 (.f64 t (/.f64 t l)) (.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))
42.0ms	(*.f64 (sin.f64 k) (/.f64 t l))

Compiler

Compiled 3560 to 2620 computations (26.4% saved)

simplify329.0ms (2%)

Algorithm

1×	egg-herbie

Rules

533×	`distribute-rgt-in_binary64`
478×	`*-commutative_binary64`
372×	`associate-/r*_binary64`
205×	`associate-/l*_binary64`
203×	`distribute-lft-in_binary64`

Counts

257 → 229

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	428	10719
1	1288	7843
2	3588	7793
3	4648	7793
4	4959	7793
5	4949	7793

prune302.0ms (1.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	220	9	229
Fresh	6	6	12
Picked	1	0	1
Done	0	0	0
Total	227	15	242

Error

9.5b

Counts

242 → 15

Alt Table

Status	Error	Program
▶	18.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	23.9b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 t (sin.f64 k)) l) 3))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	28.5b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (/.f64 (pow.f64 t 3) (/.f64 l (sin.f64 k))))) l))
	33.7b	(/.f64 2 (.f64 (/.f64 (.f64 (tan.f64 k) (.f64 (.f64 t t) (.f64 t (sin.f64 k)))) (.f64 l l)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	35.8b	(.f64 (/.f64 2 (.f64 (-.f64 4 (pow.f64 (/.f64 k t) 4)) (.f64 (tan.f64 k) (/.f64 (pow.f64 t 3) (/.f64 l (sin.f64 k)))))) (.f64 l (-.f64 2 (pow.f64 (/.f64 k t) 2))))
	29.0b	(.f64 (/.f64 (sqrt.f64 2) (.f64 (/.f64 (/.f64 (pow.f64 t 3) l) (/.f64 l (sin.f64 k))) (tan.f64 k))) (/.f64 (sqrt.f64 2) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	29.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (/.f64 (pow.f64 t 3) l) (/.f64 l (sin.f64 k))) (tan.f64 k)) (.f64 (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2))) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2))))) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	42.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 (/.f64 t (sqrt.f64 l)) t) (sqrt.f64 l)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	24.3b	(/.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)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	20.9b	(/.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))))
	42.4b	(/.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)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	27.2b	(/.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))))))
	20.6b	(/.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))))
	34.7b	(.f64 2 (/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	24.0b	(/.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))))

Compiler

Compiled 4561 to 2471 computations (45.8% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
0.9b	(/.f64 (*.f64 t (sin.f64 k)) l)
3.1b	(.f64 (.f64 (.f64 t (/.f64 t l)) (/.f64 (.f64 t (sin.f64 k)) l)) (tan.f64 k))
14.6b	(.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite557.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

9.2b

Rules

187×	`add-cbrt-cube_binary64`
187×	`add-exp-log_binary64`
107×	`cbrt-unprod_binary64`
107×	`prod-exp_binary64`
63×	`frac-times_binary64`

Counts

4 → 191

Calls

4 calls:

31.0ms	(.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
29.0ms	(/.f64 2 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
15.0ms	(.f64 (.f64 (.f64 t (/.f64 t l)) (/.f64 (.f64 t (sin.f64 k)) l)) (tan.f64 k))
6.0ms	(/.f64 (*.f64 t (sin.f64 k)) l)

Compiler

Compiled 7656 to 2542 computations (66.8% saved)

series499.0ms (3%)

Error

9.5b

Counts

4 → 51

Calls

4 calls:

164.0ms	(.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
118.0ms	(/.f64 2 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
89.0ms	(.f64 (.f64 (.f64 t (/.f64 t l)) (/.f64 (.f64 t (sin.f64 k)) l)) (tan.f64 k))
42.0ms	(/.f64 (*.f64 t (sin.f64 k)) l)

Compiler

Compiled 3560 to 2620 computations (26.4% saved)

simplify316.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

686×	`associate-r_binary64`
384×	`associate-/r*_binary64`
238×	`associate-*l/_binary64`
238×	`associate-/l*_binary64`
224×	`times-frac_binary64`

Counts

242 → 212

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	413	10374
1	1261	7486
2	3996	7436
3	4762	7436
4	4986	7436
5	4960	7436

prune250.0ms (1.5%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	211	1	212
Fresh	1	13	14
Picked	0	1	1
Done	0	0	0
Total	212	15	227

Error

9.5b

Counts

227 → 15

Alt Table

Status	Error	Program
	18.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (/.f64 (*.f64 t (sin.f64 k)) l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	23.9b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 t (/.f64 t l)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 t (sin.f64 k)) l) 3))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	28.5b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (tan.f64 k) (/.f64 (pow.f64 t 3) (/.f64 l (sin.f64 k))))) l))
	33.7b	(/.f64 2 (.f64 (/.f64 (.f64 (tan.f64 k) (.f64 (.f64 t t) (.f64 t (sin.f64 k)))) (.f64 l l)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	35.8b	(.f64 (/.f64 2 (.f64 (-.f64 4 (pow.f64 (/.f64 k t) 4)) (.f64 (tan.f64 k) (/.f64 (pow.f64 t 3) (/.f64 l (sin.f64 k)))))) (.f64 l (-.f64 2 (pow.f64 (/.f64 k t) 2))))
	29.0b	(.f64 (/.f64 (sqrt.f64 2) (.f64 (/.f64 (/.f64 (pow.f64 t 3) l) (/.f64 l (sin.f64 k))) (tan.f64 k))) (/.f64 (sqrt.f64 2) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	29.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (/.f64 (pow.f64 t 3) l) (/.f64 l (sin.f64 k))) (tan.f64 k)) (.f64 (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2))) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2))))) (cbrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	42.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 (/.f64 t (sqrt.f64 l)) t) (sqrt.f64 l)) (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	20.9b	(/.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))))
	42.4b	(/.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)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	27.2b	(/.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))))))
	20.6b	(/.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))))
	34.7b	(.f64 2 (/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	29.6b	(/.f64 2 (.f64 (.f64 (/.f64 (/.f64 (*.f64 (pow.f64 t 3) (sin.f64 k)) l) l) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	24.0b	(/.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))))

Compiler

Compiled 3685 to 2138 computations (42% saved)

regimes4.8s (29.2%)

Accuracy

Total 3.2b remaining (24.5%)

Threshold costs 0b (0%)

Compiler

Compiled 64337 to 42541 computations (33.9% saved)

bsearch234.0ms (1.4%)

Steps

Iters	Range		Point
9	6.925457920129083e-102	6.611255135447697e-95	3.6258818320847586e-101
8	-2.1190453321412914e-91	-3.580096759407695e-96	-3.3849052858131366e-93
6	-2127066.6339640156	-225754.94643376226	-1276127.0504908424
4	-2.867885180415896e+130	-3.713809770324271e+122	-1.0645803590118758e+126

Compiler

Compiled 4 to 3 computations (25% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	224
1	85	224
2	84	224

end3.0ms (0%)

Compiler: Compiled 150 to 85 computations (43.3% saved)

sample3.6s (21.8%)

Algorithm

1×

intervals

Results

1.4s	2683×	body	1024	valid
489.0ms	1261×	body	512	valid
435.0ms	3455×	body	128	valid
173.0ms	1407×	body	128	invalid
151.0ms	594×	body	256	valid
50.0ms	138×	body	512	invalid
25.0ms	50×	body	1024	invalid
23.0ms	95×	body	256	invalid
5.0ms	7×	body	2048	valid

Compiler

Compiled 638 to 428 computations (32.9% saved)

Details

analyze2.1s (12.5%)

sample107.0ms (0.6%)

simplify61.0ms (0.4%)

prune5.0ms (0%)

localize17.0ms (0.1%)

rewrite361.0ms (2.2%)

series385.0ms (2.3%)

simplify163.0ms (1%)

prune163.0ms (1%)

localize18.0ms (0.1%)

rewrite399.0ms (2.4%)

series356.0ms (2.1%)

simplify209.0ms (1.3%)

prune191.0ms (1.1%)

localize17.0ms (0.1%)

rewrite642.0ms (3.9%)

series466.0ms (2.8%)

simplify329.0ms (2%)

prune302.0ms (1.8%)

localize18.0ms (0.1%)

rewrite557.0ms (3.4%)

series499.0ms (3%)

simplify316.0ms (1.9%)

prune250.0ms (1.5%)

regimes4.8s (29.2%)

bsearch234.0ms (1.4%)

simplify6.0ms (0%)

end3.0ms (0%)

sample3.6s (21.8%)

Profiling