Details

analyze2.1s (13.9%)

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)

sample108.0ms (0.7%)

Algorithm

1×

intervals

Results

44.0ms	86×	body	1024	valid
21.0ms	116×	body	128	valid
13.0ms	36×	body	512	valid
8.0ms	64×	body	128	invalid
4.0ms	18×	body	256	valid
1.0ms	4×	body	512	invalid
1.0ms	5×	body	256	invalid

Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify59.0ms (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

31.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	31.0b	(/.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:

2.5b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
2.7b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
13.0b	(.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)))
17.0b	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite351.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

17.9b

Rules

108×	`add-exp-log_binary64`
58×	`prod-exp_binary64`
52×	`add-cbrt-cube_binary64`
28×	`times-frac_binary64`
26×	`cbrt-unprod_binary64` `add-sqr-sqrt_binary64`

Counts

4 → 159

Calls

4 calls:

23.0ms	(.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))
10.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
7.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

Compiler

Compiled 4442 to 2333 computations (47.5% saved)

series374.0ms (2.5%)

Error

23.4b

Counts

4 → 40

Calls

4 calls:

177.0ms	(.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)))
89.0ms	(.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 2482 to 1888 computations (23.9% saved)

simplify182.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

544×	`associate-l_binary64`
475×	`unswap-sqr_binary64`
391×	`associate-r_binary64`
248×	`log-prod_binary64`
222×	`*-commutative_binary64`

Counts

199 → 159

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	255	5193
1	706	4429
2	3193	4378
3	4746	4378
4	4959	4378

prune137.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	149	10	159
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	149	11	160

Error

13.4b

Counts

160 → 11

Alt Table

Status	Error	Program
	26.9b	(/.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))))
	24.3b	(/.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))))
▶	22.2b	(/.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))))
	38.4b	(/.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))))
✓	31.0b	(/.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))))
	24.1b	(/.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))))
	31.8b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (tan.f64 k))) (.f64 l l)))
	49.4b	(/.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))))
	36.0b	(/.f64 2 (.f64 (/.f64 (pow.f64 t 3) (.f64 (.f64 l l) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) 2) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	39.3b	(/.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))))

Compiler

Compiled 2594 to 1501 computations (42.1% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.7b	(.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (tan.f64 k))
5.3b	(.f64 (sin.f64 k) (/.f64 (.f64 t t) l))
7.4b	(/.f64 (*.f64 t t) l)
13.0b	(.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)))

rewrite554.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

9.7b

Rules

113×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
65×	`prod-exp_binary64` `cbrt-unprod_binary64`
34×	`frac-times_binary64`
31×	`associate-*r/_binary64`
29×	`pow1_binary64`

Counts

4 → 151

Calls

4 calls:

27.0ms	(.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)))
14.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (tan.f64 k))
8.0ms	(.f64 (sin.f64 k) (/.f64 (.f64 t t) l))
5.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 5449 to 1804 computations (66.9% saved)

series362.0ms (2.4%)

Error

13.3b

Counts

4 → 42

Calls

4 calls:

176.0ms	(.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)))
89.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (sin.f64 k) (/.f64 (.f64 t t) l))) (tan.f64 k))
53.0ms	(.f64 (sin.f64 k) (/.f64 (.f64 t t) l))
23.0ms	(/.f64 (*.f64 t t) l)

Compiler

Compiled 2715 to 1994 computations (26.6% saved)

simplify153.0ms (1%)

Algorithm

1×	egg-herbie

Rules

652×	`associate-r_binary64`
494×	`distribute-lft-in_binary64`
485×	`distribute-rgt-in_binary64`
319×	`*-commutative_binary64`
193×	`associate-*l/_binary64`

Counts

193 → 160

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	302	6527
1	938	4834
2	3223	4740
3	4955	4740

prune160.0ms (1.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	153	7	160
Fresh	1	8	9
Picked	1	0	1
Done	1	0	1
Total	156	15	171

Error

9.4b

Counts

171 → 15

Alt Table

Status	Error	Program
	24.3b	(/.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))))
	41.8b	(/.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))))
	38.4b	(/.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))))
	50.2b	(/.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))))
▶	16.7b	(/.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))))
	33.0b	(/.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))))
	27.1b	(/.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))
	24.1b	(/.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))))
	31.8b	(/.f64 2 (/.f64 (.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (tan.f64 k))) (.f64 l l)))
	49.4b	(/.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))))
	36.0b	(/.f64 2 (.f64 (/.f64 (pow.f64 t 3) (.f64 (.f64 l l) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) 2) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	29.0b	(/.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))))))
	17.1b	(/.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))))
	39.3b	(/.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))))

Compiler

Compiled 2942 to 1674 computations (43.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.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))))
2.1b	(.f64 (.f64 t (sin.f64 k)) (/.f64 t l))
2.7b	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k))
13.0b	(.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)))

rewrite516.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

7.9b

Rules

215×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
129×	`prod-exp_binary64` `cbrt-unprod_binary64`
63×	`frac-times_binary64`
54×	`associate-*r/_binary64`
49×	`associate-*l/_binary64`

Counts

4 → 211

Calls

4 calls:

32.0ms	(/.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))))
29.0ms	(.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)))
16.0ms	(.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)

series483.0ms (3.2%)

Error

9.4b

Counts

4 → 46

Calls

4 calls:

180.0ms	(.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)))
129.0ms	(/.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))))
92.0ms	(.f64 (.f64 (/.f64 t l) (.f64 (.f64 t (sin.f64 k)) (/.f64 t l))) (tan.f64 k))
54.0ms	(.f64 (.f64 t (sin.f64 k)) (/.f64 t l))

Compiler

Compiled 3069 to 2282 computations (25.6% saved)

simplify328.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

501×	`distribute-rgt-in_binary64`
432×	`*-commutative_binary64`
339×	`associate-/r*_binary64`
210×	`associate-/l*_binary64`
192×	`associate-*l/_binary64`

Counts

257 → 239

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	399	10810
1	1119	8148
2	3363	8098
3	4361	8098
4	4962	8098
5	4937	8098

prune255.0ms (1.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	232	7	239
Fresh	6	8	14
Picked	1	0	1
Done	0	0	0
Total	239	15	254

Error

7.9b

Counts

254 → 15

Alt Table

Status	Error	Program
▶	15.2b	(/.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))))
	21.6b	(.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)
	29.2b	(/.f64 2 (/.f64 (.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)))
	41.8b	(/.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))))
	38.4b	(/.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))))
	16.7b	(/.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)))))
	50.2b	(/.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))))
	16.8b	(.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k)))) (tan.f64 k))) (/.f64 (sqrt.f64 2) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	27.1b	(/.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))
	24.1b	(/.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))))
	49.4b	(/.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))))
	29.0b	(/.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))))))
	17.1b	(/.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))))
	34.8b	(.f64 2 (/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	25.4b	(.f64 (sqrt.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))))) (sqrt.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))))))

Compiler

Compiled 4393 to 2041 computations (53.5% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.4b	(.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t l) (.f64 t (sin.f64 k))) (tan.f64 k)))
2.1b	(.f64 (/.f64 t l) (.f64 t (sin.f64 k)))
3.0b	(.f64 (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))) (tan.f64 k))
13.0b	(.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)))

rewrite509.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

7.9b

Rules

160×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
98×	`prod-exp_binary64` `cbrt-unprod_binary64`
52×	`pow1_binary64`
39×	`associate-*l/_binary64`
35×	`frac-times_binary64`

Counts

4 → 187

Calls

4 calls:

31.0ms	(.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)))
16.0ms	(.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t l) (.f64 t (sin.f64 k))) (tan.f64 k)))
11.0ms	(.f64 (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))) (tan.f64 k))
8.0ms	(.f64 (/.f64 t l) (.f64 t (sin.f64 k)))

Compiler

Compiled 6717 to 2067 computations (69.2% saved)

series448.0ms (2.9%)

Error

7.9b

Counts

4 → 48

Calls

4 calls:

175.0ms	(.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)))
92.0ms	(.f64 (.f64 (/.f64 t l) (*.f64 t (sin.f64 k))) (tan.f64 k))
89.0ms	(.f64 (/.f64 t l) (.f64 (.f64 (/.f64 t l) (.f64 t (sin.f64 k))) (tan.f64 k)))
55.0ms	(.f64 (/.f64 t l) (.f64 t (sin.f64 k)))

Compiler

Compiled 3201 to 2348 computations (26.6% saved)

simplify276.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

629×	`distribute-rgt-in_binary64`
615×	`distribute-lft-in_binary64`
526×	`*-commutative_binary64`
279×	`associate-*l/_binary64`
186×	`associate-/l*_binary64`

Counts

235 → 222

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	338	8386
1	1126	6175
2	3076	6151
3	4562	6145
4	4981	6145
5	4950	6145

prune294.0ms (1.9%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	215	7	222
Fresh	4	10	14
Picked	0	1	1
Done	0	0	0
Total	219	18	237

Error

7.9b

Counts

237 → 18

Alt Table

Status	Error	Program
	15.2b	(/.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))))
	21.6b	(.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)
	25.7b	(/.f64 2 (*.f64 (/.f64 (/.f64 (pow.f64 t 3) (/.f64 l (sin.f64 k))) (/.f64 l (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	38.4b	(/.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))))
	16.7b	(/.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)))))
	23.0b	(/.f64 2 (.f64 (.f64 t (/.f64 (.f64 (/.f64 (.f64 (sin.f64 k) (*.f64 t t)) l) (tan.f64 k)) l)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	40.0b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (sqrt.f64 l)) (.f64 (*.f64 t (sin.f64 k)) (/.f64 (cbrt.f64 t) (sqrt.f64 l)))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	15.4b	(/.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))))
	16.8b	(.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 (/.f64 t l) (.f64 (/.f64 t l) (*.f64 t (sin.f64 k)))) (tan.f64 k))) (/.f64 (sqrt.f64 2) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	24.1b	(/.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))))
	49.4b	(/.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))))
	29.0b	(/.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))))))
	32.7b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (/.f64 (.f64 (.f64 k k) (*.f64 t t)) l)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.7b	(/.f64 2 (.f64 (/.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (/.f64 l (sin.f64 k)))) (*.f64 l (cos.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	17.1b	(/.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))))
	15.4b	(/.f64 2 (.f64 (.f64 (/.f64 t l) (.f64 (.f64 (/.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (cbrt.f64 l) (cbrt.f64 l))) (.f64 (.f64 t (sin.f64 k)) (/.f64 (cbrt.f64 t) (cbrt.f64 l)))) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	34.8b	(.f64 2 (/.f64 (.f64 (.f64 l l) (cos.f64 k)) (.f64 (.f64 k k) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	25.4b	(.f64 (sqrt.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))))) (sqrt.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))))))

Compiler

Compiled 3840 to 1824 computations (52.5% saved)

regimes3.7s (24.1%)

Accuracy

Total 2.8b remaining (26.8%)

Threshold costs 0b (0%)

Compiler

Compiled 56582 to 37843 computations (33.1% saved)

bsearch163.0ms (1.1%)

Steps

Iters	Range		Point
9	5.192206335845304e-137	6.680153672241137e-132	7.449004602665931e-135
8	-9.251694340338205e-84	-4.736341272486835e-88	-6.143105244469532e-87

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`if-if-or-not_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	95
1	51	95
2	51	95

end2.0ms (0%)

Compiler: Compiled 65 to 42 computations (35.4% saved)

sample3.6s (23.9%)

Algorithm

1×

intervals

Results

1.4s	2629×	body	1024	valid
460.0ms	3535×	body	128	valid
455.0ms	1221×	body	512	valid
200.0ms	1496×	body	128	invalid
152.0ms	609×	body	256	valid
46.0ms	127×	body	512	invalid
28.0ms	56×	body	1024	invalid
24.0ms	97×	body	256	invalid
5.0ms	6×	body	2048	valid

Compiler

Compiled 684 to 443 computations (35.2% saved)

Details

analyze2.1s (13.9%)

sample108.0ms (0.7%)

simplify59.0ms (0.4%)

prune5.0ms (0%)

localize20.0ms (0.1%)

rewrite351.0ms (2.3%)

series374.0ms (2.5%)

simplify182.0ms (1.2%)

prune137.0ms (0.9%)

localize19.0ms (0.1%)

rewrite554.0ms (3.6%)

series362.0ms (2.4%)

simplify153.0ms (1%)

prune160.0ms (1.1%)

localize16.0ms (0.1%)

rewrite516.0ms (3.4%)

series483.0ms (3.2%)

simplify328.0ms (2.2%)

prune255.0ms (1.7%)

localize17.0ms (0.1%)

rewrite509.0ms (3.3%)

series448.0ms (2.9%)

simplify276.0ms (1.8%)

prune294.0ms (1.9%)

regimes3.7s (24.1%)

bsearch163.0ms (1.1%)

simplify4.0ms (0%)

end2.0ms (0%)

sample3.6s (23.9%)

Profiling