Details

analyze3.1s (17.1%)

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)

sample133.0ms (0.7%)

Algorithm

1×

intervals

Results

60.0ms	78×	body	1024	valid
21.0ms	132×	body	128	valid
14.0ms	26×	body	512	valid
8.0ms	50×	body	128	invalid
6.0ms	20×	body	256	valid
4.0ms	9×	body	512	invalid
1.0ms	2×	body	1024	invalid
1.0ms	3×	body	256	invalid

Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify58.0ms (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

33.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	33.4b	(/.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:

2.7b	(.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))
13.2b	(.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)))
17.5b	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite243.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

18.4b

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))
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)

series263.0ms (1.5%)

Error

23.5b

Counts

4 → 42

Calls

4 calls:

121.0ms	(.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)))
58.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
39.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
22.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 2759 to 2100 computations (23.9% saved)

simplify171.0ms (1%)

Algorithm

1×	egg-herbie

Rules

561×	`associate-l_binary64`
551×	`unswap-sqr_binary64`
418×	`associate-r_binary64`
248×	`log-prod_binary64`
236×	`*-commutative_binary64`

Counts

201 → 161

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	5420
1	774	4656
2	3495	4605
3	4878	4605
4	5090	4605

prune98.0ms (0.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	153	8	161
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	154	8	162

Error

14.0b

Counts

162 → 8

Alt Table

Status	Error	Program
▶	22.0b	(/.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))))
	36.2b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (*.f64 l l) (cos.f64 k))))
	41.4b	(/.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))))
	36.1b	(/.f64 2 (/.f64 (.f64 (-.f64 4 (pow.f64 (/.f64 k t) 4)) (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (tan.f64 k))) (.f64 (*.f64 l l) (-.f64 2 (pow.f64 (/.f64 k t) 2)))))
	22.3b	(/.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))))
	24.7b	(/.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))))
	40.7b	(/.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))))
	32.4b	(/.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))))))

Compiler

Compiled 2646 to 1510 computations (42.9% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.4b	(.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (tan.f64 k))
5.1b	(.f64 (sin.f64 k) (/.f64 (.f64 t t) l))
6.1b	(/.f64 (*.f64 t t) l)
13.2b	(.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)))

rewrite267.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

9.1b

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:

22.0ms	(.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)))
12.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (tan.f64 k))
6.0ms	(.f64 (sin.f64 k) (/.f64 (.f64 t t) l))
3.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 5449 to 1804 computations (66.9% saved)

series269.0ms (1.5%)

Error

13.9b

Counts

4 → 42

Calls

4 calls:

150.0ms	(.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)))
57.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (tan.f64 k))
31.0ms	(.f64 (sin.f64 k) (/.f64 (.f64 t t) l))
14.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 2821 to 2089 computations (25.9% saved)

simplify204.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

665×	`associate-r_binary64`
487×	`distribute-rgt-in_binary64`
328×	`*-commutative_binary64`
196×	`log-prod_binary64`
192×	`associate-*l/_binary64`

Counts

193 → 160

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	6644
1	964	4951
2	3350	4857
3	4566	4857
4	4969	4857
5	4975	4857

prune112.0ms (0.6%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	150	10	160
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	153	15	168

Error

9.9b

Counts

168 → 15

Alt Table

Status	Error	Program
	28.5b	(/.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))))))
✓	22.0b	(/.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))))
	42.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sqrt.f64 (sin.f64 k)) (.f64 (/.f64 (.f64 t t) l) (sqrt.f64 (sin.f64 k))))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	24.7b	(/.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))))
	18.3b	(/.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))))
	49.4b	(/.f64 2 (.f64 (.f64 (.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)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	32.4b	(/.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))))))
	28.5b	(/.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))
	41.4b	(/.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))))
	22.3b	(/.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))))
▶	17.8b	(/.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))))
	53.3b	(/.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))))
	44.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (*.f64 (/.f64 t (sqrt.f64 l)) t) (sqrt.f64 l)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	17.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (*.f64 t (/.f64 t l)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	27.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (cbrt.f64 (pow.f64 (/.f64 (*.f64 t t) l) 3)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 3036 to 1721 computations (43.3% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.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))))
1.2b	(.f64 (.f64 t (sin.f64 k)) (/.f64 t l))
3.4b	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k))
13.2b	(.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)))

rewrite458.0ms (2.6%)

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:

25.0ms	(/.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))))
21.0ms	(.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)))
12.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k))
6.0ms	(.f64 (.f64 t (sin.f64 k)) (/.f64 t l))

Compiler

Compiled 8347 to 2744 computations (67.1% saved)

series387.0ms (2.2%)

Error

9.9b

Counts

4 → 55

Calls

4 calls:

139.0ms	(/.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))))
121.0ms	(.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)))
64.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k))
32.0ms	(.f64 (.f64 t (sin.f64 k)) (/.f64 t l))

Compiler

Compiled 3952 to 2907 computations (26.4% saved)

simplify227.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

501×	`distribute-rgt-in_binary64`
465×	`*-commutative_binary64`
381×	`associate-/r*_binary64`
258×	`times-frac_binary64`
256×	`associate-/l*_binary64`

Counts

266 → 248

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	443	11773
1	1237	9111
2	3885	9061
3	4954	9061

prune217.0ms (1.2%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	235	13	248
Fresh	9	4	13
Picked	1	0	1
Done	0	1	1
Total	245	18	263

Error

7.5b

Counts

263 → 18

Alt Table

Status	Error	Program
	28.5b	(/.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))))))
✓	22.0b	(/.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))))
	29.0b	(.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (/.f64 (.f64 (/.f64 t l) (.f64 (pow.f64 (sin.f64 k) 2) (*.f64 t t))) l))) (cos.f64 k))
	21.5b	(.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)
▶	15.9b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	21.3b	(/.f64 2 (/.f64 (.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))
	38.3b	(/.f64 (.f64 l l) (.f64 (*.f64 k k) (pow.f64 t 3)))
	44.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (*.f64 (/.f64 t (sqrt.f64 l)) t) (sqrt.f64 l)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	17.6b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (sin.f64 k)) (/.f64 t l))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))
	49.4b	(/.f64 2 (.f64 (.f64 (.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)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.5b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k)))) (tan.f64 k)) (-.f64 4 (pow.f64 (/.f64 k t) 4))) (-.f64 2 (pow.f64 (/.f64 k t) 2))))
	17.9b	(/.f64 (sqrt.f64 2) (.f64 (/.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k)))) (tan.f64 k)) (sqrt.f64 2)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	31.7b	(.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))
	27.9b	(/.f64 2 (cbrt.f64 (pow.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k)))) (tan.f64 k))) 3)))
	17.9b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t l) (.f64 t (sin.f64 k)))) (tan.f64 k)) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (sqrt.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	18.0b	(.f64 (.f64 (cbrt.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t l) (.f64 t (sin.f64 k)))) (tan.f64 k))))) (cbrt.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t l) (.f64 t (sin.f64 k)))) (tan.f64 k)))))) (cbrt.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k)))) (tan.f64 k))))))
	28.2b	(cbrt.f64 (/.f64 8 (pow.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k)))) (tan.f64 k))) 3)))
	32.4b	(/.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))))))

Compiler

Compiled 4836 to 2282 computations (52.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.2b	(.f64 (/.f64 t l) (.f64 t (sin.f64 k)))
2.0b	(.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t l) (.f64 t (sin.f64 k))) (tan.f64 k)))
2.7b	(.f64 (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))) (tan.f64 k))
13.2b	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite392.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

7.5b

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:

19.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
12.0ms	(.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t l) (.f64 t (sin.f64 k))) (tan.f64 k)))
9.0ms	(.f64 (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))) (tan.f64 k))
6.0ms	(.f64 (/.f64 t l) (.f64 t (sin.f64 k)))

Compiler

Compiled 6717 to 2067 computations (69.2% saved)

series287.0ms (1.6%)

Error

7.5b

Counts

4 → 46

Calls

4 calls:

118.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
55.0ms	(.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t l) (.f64 t (sin.f64 k))) (tan.f64 k)))
51.0ms	(.f64 (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))) (tan.f64 k))
35.0ms	(.f64 (/.f64 t l) (.f64 t (sin.f64 k)))

Compiler

Compiled 3112 to 2305 computations (25.9% saved)

simplify242.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

636×	`distribute-rgt-in_binary64`
624×	`distribute-lft-in_binary64`
525×	`*-commutative_binary64`
276×	`associate-*l/_binary64`
177×	`associate-/l*_binary64`

Counts

233 → 220

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	332	8387
1	1107	6176
2	3082	6152
3	4567	6146
4	4973	6146
5	4994	6146

prune231.0ms (1.3%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	214	6	220
Fresh	3	13	16
Picked	0	1	1
Done	0	1	1
Total	217	21	238

Error

7.5b

Counts

238 → 21

Alt Table

Status	Error	Program
	17.9b	(/.f64 (sqrt.f64 2) (.f64 (/.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k)))) (tan.f64 k)) (sqrt.f64 2)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	34.9b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (+.f64 (/.f64 (.f64 (.f64 k k) (.f64 t t)) l) (.f64 1/6 (/.f64 (.f64 (.f64 t t) (pow.f64 k 4)) l)))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	28.5b	(/.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))))))
	22.0b	(/.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))))
	29.0b	(.f64 (/.f64 2 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (/.f64 (.f64 (/.f64 t l) (.f64 (pow.f64 (sin.f64 k) 2) (*.f64 t t))) l))) (cos.f64 k))
	21.5b	(.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)
	15.9b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	43.0b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 1 (sqrt.f64 l)) (.f64 (.f64 t (sin.f64 k)) (/.f64 t (sqrt.f64 l)))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	21.3b	(/.f64 2 (/.f64 (.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))
	38.3b	(/.f64 (.f64 l l) (.f64 (*.f64 k k) (pow.f64 t 3)))
	44.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (*.f64 (/.f64 t (sqrt.f64 l)) t) (sqrt.f64 l)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	17.6b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (sin.f64 k)) (/.f64 t l))) (*.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (tan.f64 k))))
	22.2b	(/.f64 2 (.f64 (/.f64 t l) (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (/.f64 (.f64 (sin.f64 k) (*.f64 t t)) l) (tan.f64 k)))))
	26.5b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k)))) (tan.f64 k)) (-.f64 4 (pow.f64 (/.f64 k t) 4))) (-.f64 2 (pow.f64 (/.f64 k t) 2))))
	31.7b	(.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))
	27.9b	(/.f64 2 (cbrt.f64 (pow.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k)))) (tan.f64 k))) 3)))
	15.9b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (*.f64 (sin.f64 k) (/.f64 t l))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	18.1b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 1 (.f64 (cbrt.f64 l) (cbrt.f64 l))) (.f64 (*.f64 t (sin.f64 k)) (/.f64 t (cbrt.f64 l)))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	16.1b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 t l)) (cbrt.f64 (/.f64 t l))) (.f64 (*.f64 t (sin.f64 k)) (cbrt.f64 (/.f64 t l)))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	28.2b	(cbrt.f64 (/.f64 8 (pow.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k)))) (tan.f64 k))) 3)))
	32.4b	(/.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))))))

Compiler

Compiled 3870 to 1873 computations (51.6% saved)

regimes5.6s (31.3%)

Accuracy

Total 3.1b remaining (28.2%)

Threshold costs 0b (0%)

Compiler

Compiled 88013 to 56992 computations (35.2% saved)

bsearch204.0ms (1.1%)

Steps

Iters	Range		Point
10	0.002990512227338073	1792282727.4377043	0.003027837181469923
7	-2.7484286388585287e-136	-3.842630098930633e-138	-2.6241184465526776e-136

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	131
1	53	131
2	53	131

end3.0ms (0%)

Compiler: Compiled 89 to 49 computations (44.9% saved)

sample4.7s (26.1%)

Algorithm

1×

intervals

Results

2.1s	2697×	body	1024	valid
605.0ms	1223×	body	512	valid
594.0ms	3486×	body	128	valid
237.0ms	1391×	body	128	invalid
191.0ms	581×	body	256	valid
73.0ms	152×	body	512	invalid
51.0ms	64×	body	1024	invalid
26.0ms	85×	body	256	invalid
16.0ms	13×	body	2048	valid

Compiler

Compiled 770 to 498 computations (35.3% saved)

Details

analyze3.1s (17.1%)

sample133.0ms (0.7%)

simplify58.0ms (0.3%)

prune3.0ms (0%)

localize18.0ms (0.1%)

rewrite243.0ms (1.4%)

series263.0ms (1.5%)

simplify171.0ms (1%)

prune98.0ms (0.5%)

localize21.0ms (0.1%)

rewrite267.0ms (1.5%)

series269.0ms (1.5%)

simplify204.0ms (1.1%)

prune112.0ms (0.6%)

localize17.0ms (0.1%)

rewrite458.0ms (2.6%)

series387.0ms (2.2%)

simplify227.0ms (1.3%)

prune217.0ms (1.2%)

localize16.0ms (0.1%)

rewrite392.0ms (2.2%)

series287.0ms (1.6%)

simplify242.0ms (1.4%)

prune231.0ms (1.3%)

regimes5.6s (31.3%)

bsearch204.0ms (1.1%)

simplify5.0ms (0%)

end3.0ms (0%)

sample4.7s (26.1%)

Profiling