Details

analyze3.4s (12.9%)

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
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
0%	99.9%	0.1%	10
0%	99.5%	0.5%	11
0%	99.1%	0.9%	12
0.4%	97.3%	2.3%	13
0.7%	95.8%	3.5%	14

Compiler

Compiled 29 to 22 computations (24.1% saved)

sample514.0ms (2%)

Algorithm

1×

intervals

Results

122.0ms	34×	body	4096	invalid
105.0ms	125×	body	1024	valid
71.0ms	28×	body	2048	invalid
46.0ms	19×	body	4096	valid
36.0ms	29×	body	2048	valid
17.0ms	13×	body	512	invalid
16.0ms	34×	body	512	valid
14.0ms	21×	body	1024	invalid
6.0ms	35×	body	128	valid
5.0ms	14×	body	256	valid
4.0ms	22×	body	128	invalid
1.0ms	4×	body	256	invalid

Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify37.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

856×	`associate-*l/_binary64`
417×	`associate-/r/_binary64`
392×	`associate-/r*_binary64`
347×	`distribute-rgt-in_binary64`
323×	`distribute-lft-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	38
1	52	35
2	174	32
3	820	32
4	4966	32
5	4943	32

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

42.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	42.0b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))

Compiler

Compiled 97 to 65 computations (33% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
✓	1.3b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	15.8b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	29.4b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

series609.0ms (2.3%)

Counts

4 → 132

Calls

4 calls:

330.0ms	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
156.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
80.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
43.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite86.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

396×	`add-exp-log_binary64`
229×	`prod-exp_binary64`
115×	`div-exp_binary64`
65×	`add-cbrt-cube_binary64`
56×	`pow-exp_binary64`

Counts

4 → 229

Calls

4 calls:

17.0ms	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
17.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
8.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
5.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify212.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

488×	`unswap-sqr_binary64`
473×	`associate-l_binary64`
352×	`associate-r_binary64`
242×	`associate-/r*_binary64`
189×	`*-commutative_binary64`

Counts

361 → 295

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	376	9672
1	835	8714
2	3637	8657
3	5098	8657

prune439.0ms (1.7%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	277	18	295
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	278	18	296

Error

15.8b

Counts

296 → 18

Alt Table

Status	Error	Program
	42.0b	(/.f64 (sqrt.f64 2) (/.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)) (sqrt.f64 2)))
	49.4b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (/.f64 (pow.f64 (sqrt.f64 t) 3) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	60.3b	(/.f64 2 (exp.f64 (+.f64 (+.f64 (+.f64 (-.f64 (.f64 (log.f64 t) 3) (log.f64 (.f64 l l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (*.f64 (-.f64 (log.f64 k) (log.f64 t)) 2))))
	42.0b	(.f64 (/.f64 2 (.f64 (pow.f64 (/.f64 k t) 2) (.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (pow.f64 t 3) (.f64 l l))))) (cos.f64 k))
	34.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	35.0b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	48.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	60.9b	(/.f64 2 (exp.f64 (+.f64 (+.f64 (+.f64 (-.f64 (.f64 (log.f64 t) 3) (+.f64 (log.f64 l) (log.f64 l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (.f64 (-.f64 (log.f64 k) (log.f64 t)) 2))))
	60.8b	(exp.f64 (-.f64 (log.f64 2) (+.f64 (+.f64 (+.f64 (-.f64 (.f64 (log.f64 t) 3) (+.f64 (log.f64 l) (log.f64 l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (.f64 (-.f64 (log.f64 k) (log.f64 t)) 2))))
	23.6b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	31.1b	(.f64 2 (/.f64 (pow.f64 l 2) (.f64 (pow.f64 k 4) t)))
▶	23.4b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	37.7b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (/.f64 k t)) (/.f64 k t)))
	45.7b	(/.f64 2 (.f64 (.f64 k (.f64 k (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (.f64 l l))) (tan.f64 k)))) (pow.f64 (/.f64 1 t) 2)))
	60.7b	(exp.f64 (-.f64 (log.f64 2) (+.f64 (+.f64 (+.f64 (-.f64 (.f64 (log.f64 t) 3) (log.f64 (.f64 l l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (*.f64 (log.f64 (/.f64 k t)) 2))))
	37.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 (.f64 l l) (*.f64 t t))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	40.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 1 l) (.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	49.4b	(/.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)) (pow.f64 (/.f64 k t) 2)))

Compiler

Compiled 9660 to 5064 computations (47.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 k) 2)
✓	2.4b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	8.1b	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	19.2b	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))

series285.0ms (1.1%)

Counts

4 → 16

Calls

4 calls:

230.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))
31.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
17.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.0ms	(pow.f64 (sin.f64 k) 2)

rewrite40.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

222×	`add-exp-log_binary64`
147×	`prod-exp_binary64`
52×	`div-exp_binary64`
50×	`pow-exp_binary64`
50×	`pow-to-exp_binary64`

Counts

4 → 155

Calls

4 calls:

9.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))
6.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
5.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
4.0ms	(pow.f64 (sin.f64 k) 2)

simplify111.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

585×	`associate-*l/_binary64`
386×	`associate-/l/_binary64`
375×	`fma-def_binary64`
286×	`times-frac_binary64`
260×	`cancel-sign-sub-inv_binary64`

Counts

171 → 188

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	221	4005
1	522	3403
2	2208	3367
3	5252	3367

prune417.0ms (1.6%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	176	12	188
Fresh	7	10	17
Picked	1	0	1
Done	0	0	0
Total	184	22	206

Error

11.8b

Counts

206 → 22

Alt Table

Status	Error	Program
	23.1b	(.f64 2 (.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) (/.f64 (pow.f64 l 2) (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	42.0b	(.f64 (/.f64 2 (.f64 (pow.f64 (/.f64 k t) 2) (.f64 (pow.f64 (sin.f64 k) 2) (/.f64 (pow.f64 t 3) (.f64 l l))))) (cos.f64 k))
	34.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	35.0b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	20.6b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) 2) (.f64 (pow.f64 (cbrt.f64 k) 2) (.f64 t (pow.f64 (sin.f64 k) 2))))))
	30.3b	(.f64 2 (.f64 (sqrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))))) (sqrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	48.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	47.5b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (exp.f64 (*.f64 (log.f64 (sin.f64 k)) 2))))))
	59.7b	(.f64 2 (exp.f64 (-.f64 (log.f64 (.f64 (cos.f64 k) (pow.f64 l 2))) (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))))))
	45.7b	(/.f64 2 (.f64 (.f64 k (.f64 k (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (.f64 l l))) (tan.f64 k)))) (pow.f64 (/.f64 1 t) 2)))
	23.5b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (cbrt.f64 t) (pow.f64 (sin.f64 k) 2))))))
	23.4b	(.f64 2 (/.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (pow.f64 k 2)) (*.f64 t (pow.f64 (sin.f64 k) 2))))
	60.8b	(exp.f64 (-.f64 (log.f64 2) (+.f64 (+.f64 (+.f64 (-.f64 (.f64 (log.f64 t) 3) (+.f64 (log.f64 l) (log.f64 l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (.f64 (-.f64 (log.f64 k) (log.f64 t)) 2))))
	23.5b	(.f64 2 (/.f64 (cos.f64 k) (/.f64 (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))))
	57.3b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (log.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	37.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 (.f64 l l) (*.f64 t t))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	60.8b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))))))
	49.4b	(/.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)) (pow.f64 (/.f64 k t) 2)))
▶	19.9b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	49.4b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (/.f64 (pow.f64 (sqrt.f64 t) 3) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	23.4b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 (*.f64 t (sin.f64 k)) (sin.f64 k)))))
	40.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 1 l) (.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))

Compiler

Compiled 6111 to 3910 computations (36% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))
	0.4b	(pow.f64 (sin.f64 k) 2)
	2.4b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	19.2b	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))

series257.0ms (1%)

Counts

2 → 40

Calls

2 calls:

231.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
26.0ms	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))

rewrite25.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

116×	`add-exp-log_binary64`
73×	`prod-exp_binary64`
39×	`add-cbrt-cube_binary64`
24×	`div-exp_binary64`
19×	`cbrt-unprod_binary64`

Counts

2 → 68

Calls

2 calls:

9.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
5.0ms	(.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))

simplify72.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

781×	`associate-*l/_binary64`
546×	`associate-/l/_binary64`
374×	`times-frac_binary64`
220×	`associate-/r/_binary64`
206×	`associate-r_binary64`

Counts

108 → 90

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	3197
1	433	2661
2	2007	2635
3	5262	2635

prune374.0ms (1.4%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	160	6	166
Fresh	4	17	21
Picked	1	0	1
Done	0	0	0
Total	165	23	188

Error

11.4b

Counts

188 → 23

Alt Table

Status	Error	Program
	49.4b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (/.f64 (pow.f64 (sqrt.f64 t) 3) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	20.1b	(.f64 2 (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))) (cbrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))))) (cbrt.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))))
	23.1b	(.f64 2 (.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) (/.f64 (pow.f64 l 2) (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	34.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	35.0b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	48.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (.f64 (/.f64 (pow.f64 (sqrt.f64 t) 3) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	47.5b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (exp.f64 (*.f64 (log.f64 (sin.f64 k)) 2))))))
	59.7b	(.f64 2 (exp.f64 (-.f64 (log.f64 (.f64 (cos.f64 k) (pow.f64 l 2))) (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))))))
	45.7b	(/.f64 2 (.f64 (.f64 k (.f64 k (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (.f64 l l))) (tan.f64 k)))) (pow.f64 (/.f64 1 t) 2)))
▶	19.2b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (/.f64 (pow.f64 l 2) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))))
	60.8b	(exp.f64 (-.f64 (log.f64 2) (+.f64 (+.f64 (+.f64 (-.f64 (.f64 (log.f64 t) 3) (+.f64 (log.f64 l) (log.f64 l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (.f64 (-.f64 (log.f64 k) (log.f64 t)) 2))))
	23.4b	(.f64 2 (/.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (pow.f64 k 2)) (*.f64 t (pow.f64 (sin.f64 k) 2))))
	23.5b	(.f64 2 (/.f64 (cos.f64 k) (/.f64 (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 l 2))))
	57.3b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (log.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	37.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 (.f64 l l) (*.f64 t t))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	60.8b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))))))
	20.0b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 (.f64 (cbrt.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (cbrt.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))) (cbrt.f64 (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))))
	49.4b	(/.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)) (pow.f64 (/.f64 k t) 2)))
	23.4b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 (*.f64 t (sin.f64 k)) (sin.f64 k)))))
	19.2b	(.f64 2 (/.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) k) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
	19.5b	(.f64 2 (/.f64 (cos.f64 k) (/.f64 k (/.f64 (.f64 l l) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	19.9b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 (*.f64 k t) (pow.f64 (sin.f64 k) 2)))))
	40.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 1 l) (.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))

Compiler

Compiled 5701 to 3452 computations (39.4% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 k) 2)
	2.4b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	3.1b	(.f64 (/.f64 (cos.f64 k) k) (/.f64 (pow.f64 l 2) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
✓	17.6b	(/.f64 (pow.f64 l 2) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))

series392.0ms (1.5%)

Counts

2 → 40

Calls

2 calls:

228.0ms	(.f64 (/.f64 (cos.f64 k) k) (/.f64 (pow.f64 l 2) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
164.0ms	(/.f64 (pow.f64 l 2) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))

rewrite39.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

181×	`add-exp-log_binary64`
95×	`prod-exp_binary64`
61×	`div-exp_binary64`
43×	`add-cbrt-cube_binary64`
26×	`times-frac_binary64`

Counts

2 → 128

Calls

2 calls:

14.0ms	(.f64 (/.f64 (cos.f64 k) k) (/.f64 (pow.f64 l 2) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
8.0ms	(/.f64 (pow.f64 l 2) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))))

simplify129.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

585×	`associate-/l/_binary64`
513×	`fma-def_binary64`
302×	`associate-/r/_binary64`
211×	`times-frac_binary64`
186×	`associate-l_binary64`

Counts

168 → 178

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	4936
1	567	4216
2	2175	4200
3	4453	4200
4	4990	4200

prune506.0ms (1.9%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	244	10	254
Fresh	11	11	22
Picked	1	0	1
Done	0	0	0
Total	256	21	277

Error

3.9b

Counts

277 → 21

Alt Table

Status	Error	Program
	34.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	12.7b	(.f64 2 (.f64 (.f64 (/.f64 (cos.f64 k) k) (/.f64 (pow.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l)) 2) k)) (/.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	59.6b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (exp.f64 (-.f64 (.f64 (log.f64 l) 2) (+.f64 (log.f64 k) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2)))))))
	47.5b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (exp.f64 (*.f64 (log.f64 (sin.f64 k)) 2))))))
	19.2b	(.f64 2 (/.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) k) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))
	18.3b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (.f64 (/.f64 (.f64 (cbrt.f64 (pow.f64 l 2)) (cbrt.f64 (pow.f64 l 2))) k) (/.f64 (cbrt.f64 (pow.f64 l 2)) (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	19.5b	(.f64 2 (/.f64 (cos.f64 k) (/.f64 k (/.f64 (.f64 l l) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	13.3b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (/.f64 (.f64 (/.f64 l k) l) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	59.7b	(.f64 2 (exp.f64 (-.f64 (log.f64 (.f64 (cos.f64 k) (pow.f64 l 2))) (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))))))
	45.7b	(/.f64 2 (.f64 (.f64 k (.f64 k (.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t 3) (.f64 l l))) (tan.f64 k)))) (pow.f64 (/.f64 1 t) 2)))
	9.0b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (.f64 (/.f64 l k) (/.f64 l (.f64 t (pow.f64 (sin.f64 k) 2))))))
	60.8b	(exp.f64 (-.f64 (log.f64 2) (+.f64 (+.f64 (+.f64 (-.f64 (.f64 (log.f64 t) 3) (+.f64 (log.f64 l) (log.f64 l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (.f64 (-.f64 (log.f64 k) (log.f64 t)) 2))))
	12.2b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (/.f64 l (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) l))))
	40.1b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 1 l) (.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	35.9b	(.f64 2 (.f64 (/.f64 (cos.f64 k) k) (/.f64 (pow.f64 (sqrt.f64 l) 2) (/.f64 k (/.f64 l (*.f64 t (pow.f64 (sin.f64 k) 2)))))))
	12.4b	(.f64 2 (.f64 (.f64 (/.f64 (.f64 l (cbrt.f64 l)) k) (/.f64 (cos.f64 k) k)) (/.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	19.3b	(.f64 2 (.f64 (/.f64 (.f64 (cbrt.f64 (cos.f64 k)) (cbrt.f64 (cos.f64 k))) 1) (.f64 (/.f64 (cbrt.f64 (cos.f64 k)) k) (/.f64 (pow.f64 l 2) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	19.9b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 (*.f64 k t) (pow.f64 (sin.f64 k) 2)))))
	11.0b	(.f64 2 (.f64 (.f64 (/.f64 (cos.f64 k) k) (/.f64 l k)) (/.f64 l (.f64 t (pow.f64 (sin.f64 k) 2)))))
	37.7b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 (.f64 l l) (*.f64 t t))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	60.8b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (.f64 (log.f64 k) 2) (+.f64 (log.f64 t) (.f64 (log.f64 (sin.f64 k)) 2))))))

Compiler

Compiled 7434 to 3966 computations (46.7% saved)

regimes2.2s (8.6%)

Accuracy

Total 4.8b remaining (54.1%)

Threshold costs 0b (0%)

Counts

224 → 3

Compiler

Compiled 39755 to 28350 computations (28.7% saved)

bsearch414.0ms (1.6%)

Steps

Iters	Range		Point
11	9.39201413554789e-286	2.7017854719338844e-262	2.556744795013868e-262
8	-9.632355674648186e-152	-5.171369970797264e-156	-5.300214179320276e-156

Compiler

Compiled 4 to 3 computations (25% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`unpow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	117
1	53	117
2	51	117

end1.0ms (0%)

Compiler: Compiled 79 to 48 computations (39.2% saved)

sample15.4s (59.2%)

Algorithm

1×

intervals

Results

4.3s	1213×	body	4096	invalid
3.1s	3907×	body	1024	valid
2.6s	1112×	body	2048	invalid
1.2s	1029×	body	2048	valid
1.0s	460×	body	4096	valid
695.0ms	1304×	body	512	valid
550.0ms	709×	body	1024	invalid
226.0ms	475×	body	512	invalid
184.0ms	998×	body	128	invalid
166.0ms	485×	body	256	valid
162.0ms	815×	body	128	valid
102.0ms	298×	body	256	invalid

Compiler

Compiled 660 to 466 computations (29.4% saved)

Details

analyze3.4s (12.9%)

sample514.0ms (2%)

simplify37.0ms (0.1%)

prune4.0ms (0%)

localize15.0ms (0.1%)

series609.0ms (2.3%)

rewrite86.0ms (0.3%)

simplify212.0ms (0.8%)

prune439.0ms (1.7%)

localize13.0ms (0.1%)

series285.0ms (1.1%)

rewrite40.0ms (0.2%)

simplify111.0ms (0.4%)

prune417.0ms (1.6%)

localize17.0ms (0.1%)

series257.0ms (1%)

rewrite25.0ms (0.1%)

simplify72.0ms (0.3%)

prune374.0ms (1.4%)

localize13.0ms (0%)

series392.0ms (1.5%)

rewrite39.0ms (0.1%)

simplify129.0ms (0.5%)

prune506.0ms (1.9%)

regimes2.2s (8.6%)

bsearch414.0ms (1.6%)

simplify6.0ms (0%)

end1.0ms (0%)

sample15.4s (59.2%)

Profiling