Details

analyze5.1s (14.5%)

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
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)

sample993.0ms (2.8%)

Algorithm

1×

intervals

Results

242.0ms	32×	body	4096	invalid
219.0ms	42×	body	2048	invalid
196.0ms	130×	body	1024	valid
85.0ms	14×	body	4096	valid
84.0ms	28×	body	2048	valid
42.0ms	43×	body	512	valid
31.0ms	17×	body	1024	invalid
23.0ms	22×	body	512	invalid
12.0ms	37×	body	128	invalid
10.0ms	13×	body	256	valid
9.0ms	28×	body	128	valid
5.0ms	8×	body	256	invalid

Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify63.0ms (0.2%)

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

prune8.0ms (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

38.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	38.8b	(/.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)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.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)))
✓	0.6b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	16.2b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	27.3b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

series1.1s (3.2%)

Counts

4 → 132

Calls

4 calls:

557.0ms	(/.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)))
269.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
250.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
67.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite182.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

405×	`add-exp-log_binary64`
237×	`prod-exp_binary64`
115×	`div-exp_binary64`
70×	`add-cbrt-cube_binary64`
56×	`pow-exp_binary64`

Counts

4 → 214

Calls

4 calls:

38.0ms	(/.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)))
32.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
18.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
10.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify382.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

507×	`unswap-sqr_binary64`
468×	`associate-l_binary64`
358×	`associate-r_binary64`
255×	`associate-/r*_binary64`
197×	`times-frac_binary64`

Counts

346 → 272

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	9879
1	777	8849
2	3532	8817
3	4982	8817

prune1.0s (3%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	253	19	272
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	254	19	273

Error

16.4b

Counts

273 → 19

Alt Table

Status	Error	Program
	61.1b	(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))))
	38.1b	(.f64 (/.f64 2 (.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))) (*.f64 l l))
	61.9b	(/.f64 2 (.f64 (exp.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)))) (pow.f64 (/.f64 k t) 2)))
	61.4b	(/.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))) (log.f64 (pow.f64 (/.f64 k t) 2)))))
	36.2b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 1 l) (/.f64 (pow.f64 t 3) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	36.4b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) 2)) (pow.f64 (/.f64 (cbrt.f64 k) (cbrt.f64 t)) 2)))
	31.8b	(.f64 2 (/.f64 (pow.f64 l 2) (.f64 (pow.f64 k 4) t)))
	41.5b	(/.f64 2 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))))
▶	23.0b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	49.7b	(/.f64 2 (.f64 (.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 t) 3) (log.f64 (*.f64 l l)))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	23.0b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	59.2b	(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 (-.f64 (log.f64 k) (log.f64 t)) 2))))
	61.1b	(/.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))))
	33.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l (/.f64 (.f64 t t) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	48.0b	(/.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)))
	48.1b	(/.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)))
	38.7b	(/.f64 2 (.f64 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 k) 2)) (*.f64 (cos.f64 k) (pow.f64 l 2))) (pow.f64 (/.f64 k t) 2)))
	32.4b	(/.f64 2 (+.f64 (.f64 173/5040 (/.f64 (.f64 (pow.f64 k 10) t) (pow.f64 l 2))) (+.f64 (/.f64 (.f64 (pow.f64 k 4) t) (pow.f64 l 2)) (+.f64 (.f64 31/360 (/.f64 (.f64 (pow.f64 k 8) t) (pow.f64 l 2))) (.f64 1/6 (/.f64 (*.f64 (pow.f64 k 6) t) (pow.f64 l 2)))))))
	55.9b	(/.f64 2 (.f64 (.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 t) 3) (+.f64 (log.f64 l) (log.f64 l)))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))

Compiler

Compiled 9243 to 4863 computations (47.4% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 k) 2)
✓	1.4b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	3.9b	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	21.1b	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))

series439.0ms (1.2%)

Counts

4 → 16

Calls

4 calls:

346.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))
58.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
28.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
6.0ms	(pow.f64 (sin.f64 k) 2)

rewrite77.0ms (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:

17.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))
12.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
8.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

simplify170.0ms (0.5%)

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

prune1.0s (3%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	173	15	188
Fresh	6	12	18
Picked	1	0	1
Done	0	0	0
Total	180	27	207

Error

13.8b

Counts

207 → 27

Alt Table

Status	Error	Program
	61.1b	(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))))
	38.1b	(.f64 (/.f64 2 (.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))) (*.f64 l l))
	61.9b	(/.f64 2 (.f64 (exp.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)))) (pow.f64 (/.f64 k t) 2)))
	61.4b	(/.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))) (log.f64 (pow.f64 (/.f64 k t) 2)))))
	23.1b	(.f64 2 (.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (/.f64 1 (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	55.2b	(.f64 2 (exp.f64 (-.f64 (log.f64 (.f64 (cos.f64 k) (pow.f64 l 2))) (+.f64 (.f64 (log.f64 k) 2) (log.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	48.0b	(/.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)))
	41.9b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 (sqrt.f64 k) 2) (.f64 (pow.f64 (sqrt.f64 k) 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))))
▶	21.8b	(.f64 2 (.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) (/.f64 (pow.f64 l 2) (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	57.9b	(.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))))))
	36.2b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 1 l) (/.f64 (pow.f64 t 3) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	36.4b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) (*.f64 (cbrt.f64 t) (cbrt.f64 t))) 2)) (pow.f64 (/.f64 (cbrt.f64 k) (cbrt.f64 t)) 2)))
	22.7b	(.f64 2 (/.f64 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (pow.f64 k 2)) (*.f64 t (pow.f64 (sin.f64 k) 2))))
	59.2b	(.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)))))))
	45.3b	(.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))))))
	23.1b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 (.f64 (cbrt.f64 (.f64 t (pow.f64 (sin.f64 k) 2))) (cbrt.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))) (cbrt.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	58.2b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (log.f64 (pow.f64 k 2)) (+.f64 (log.f64 t) (log.f64 (pow.f64 (sin.f64 k) 2)))))))
	23.0b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	60.6b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (.f64 (log.f64 k) 2) (log.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))))))
	23.1b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 (.f64 t (.f64 (cbrt.f64 (pow.f64 (sin.f64 k) 2)) (cbrt.f64 (pow.f64 (sin.f64 k) 2)))) (cbrt.f64 (pow.f64 (sin.f64 k) 2))))))
	33.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l (/.f64 (.f64 t t) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	23.0b	(.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)))))
	23.2b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 (*.f64 t (pow.f64 (cbrt.f64 (sin.f64 k)) 4)) (pow.f64 (cbrt.f64 (sin.f64 k)) 2)))))
	48.1b	(/.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)))
	21.9b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	38.7b	(/.f64 2 (.f64 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 k) 2)) (*.f64 (cos.f64 k) (pow.f64 l 2))) (pow.f64 (/.f64 k t) 2)))
	55.9b	(/.f64 2 (.f64 (.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 t) 3) (+.f64 (log.f64 l) (log.f64 l)))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))

Compiler

Compiled 6409 to 4148 computations (35.3% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 (cos.f64 k) (pow.f64 k 2))
	1.4b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	11.2b	(/.f64 (pow.f64 l 2) (*.f64 t (pow.f64 (sin.f64 k) 2)))
✓	14.1b	(.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) (/.f64 (pow.f64 l 2) (.f64 t (pow.f64 (sin.f64 k) 2))))

series689.0ms (2%)

Counts

3 → 44

Calls

3 calls:

429.0ms	(.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) (/.f64 (pow.f64 l 2) (.f64 t (pow.f64 (sin.f64 k) 2))))
254.0ms	(/.f64 (pow.f64 l 2) (*.f64 t (pow.f64 (sin.f64 k) 2)))
6.0ms	(/.f64 (cos.f64 k) (pow.f64 k 2))

rewrite117.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

220×	`add-exp-log_binary64`
102×	`div-exp_binary64`
97×	`prod-exp_binary64`
68×	`times-frac_binary64`
54×	`add-sqr-sqrt_binary64`

Counts

3 → 211

Calls

3 calls:

33.0ms	(.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) (/.f64 (pow.f64 l 2) (.f64 t (pow.f64 (sin.f64 k) 2))))
12.0ms	(/.f64 (pow.f64 l 2) (*.f64 t (pow.f64 (sin.f64 k) 2)))
8.0ms	(/.f64 (cos.f64 k) (pow.f64 k 2))

simplify384.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

686×	`fma-def_binary64`
549×	`*-commutative_binary64`
326×	`associate-/r/_binary64`
260×	`fma-neg_binary64`
233×	`log-prod_binary64`

Counts

255 → 295

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	290	6723
1	648	5872
2	2307	5852
3	3946	5852
4	4970	5852
5	4977	5852

prune1.6s (4.6%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	326	14	340
Fresh	15	11	26
Picked	1	0	1
Done	0	0	0
Total	342	25	367

Error

8.1b

Counts

367 → 25

Alt Table

Status	Error	Program
	15.1b	(.f64 2 (.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) (*.f64 (/.f64 l t) (/.f64 l (pow.f64 (sin.f64 k) 2)))))
	60.6b	(.f64 2 (exp.f64 (-.f64 (+.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 l) 2)) (+.f64 (.f64 (log.f64 k) 2) (log.f64 (.f64 t (pow.f64 (sin.f64 k) 2)))))))
▶	12.2b	(.f64 2 (.f64 (*.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) (/.f64 l t)) (/.f64 l (pow.f64 (sin.f64 k) 2))))
	21.5b	(.f64 2 (.f64 (cos.f64 k) (/.f64 (/.f64 (.f64 l l) (.f64 t (*.f64 k k))) (pow.f64 (sin.f64 k) 2))))
	54.4b	(.f64 2 (exp.f64 (+.f64 (log.f64 (/.f64 (cos.f64 k) (pow.f64 k 2))) (-.f64 (.f64 (log.f64 l) 2) (log.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)))))))
	33.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l (/.f64 (.f64 t t) l))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	14.8b	(.f64 2 (.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) (/.f64 l (/.f64 t (/.f64 l (pow.f64 (sin.f64 k) 2))))))
	21.6b	(.f64 2 (.f64 (.f64 (/.f64 1 k) (/.f64 (cos.f64 k) k)) (/.f64 (pow.f64 l 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	57.9b	(.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))))))
	36.2b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 1 l) (/.f64 (pow.f64 t 3) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	23.2b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 (*.f64 t (pow.f64 (cbrt.f64 (sin.f64 k)) 4)) (pow.f64 (cbrt.f64 (sin.f64 k)) 2)))))
	39.4b	(.f64 2 (.f64 (.f64 (/.f64 (cos.f64 k) (.f64 k k)) (/.f64 l t)) (/.f64 (pow.f64 (sqrt.f64 l) 2) (pow.f64 (sin.f64 k) 2))))
	39.4b	(.f64 2 (.f64 (*.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) (/.f64 (pow.f64 (sqrt.f64 l) 2) t)) (/.f64 (pow.f64 (sqrt.f64 l) 2) (pow.f64 (sin.f64 k) 2))))
	48.1b	(/.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)))
	45.3b	(.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))))))
	49.3b	(.f64 2 (.f64 (.f64 (sqrt.f64 (/.f64 (.f64 l l) (.f64 t (pow.f64 (sin.f64 k) 2)))) (/.f64 (sqrt.f64 (cos.f64 k)) k)) (.f64 (sqrt.f64 (/.f64 (.f64 l l) (.f64 t (pow.f64 (sin.f64 k) 2)))) (/.f64 (sqrt.f64 (cos.f64 k)) k))))
	23.0b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	21.9b	(.f64 2 (.f64 (/.f64 (.f64 (cbrt.f64 (cos.f64 k)) (cbrt.f64 (cos.f64 k))) (/.f64 (pow.f64 k 2) (cbrt.f64 (cos.f64 k)))) (/.f64 (pow.f64 l 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	55.9b	(/.f64 2 (.f64 (.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 t) 3) (+.f64 (log.f64 l) (log.f64 l)))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	48.0b	(/.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)))
	21.9b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	15.8b	(.f64 2 (.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) (/.f64 l (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) l))))
	21.8b	(.f64 2 (.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) (/.f64 1 (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2)))))
	20.8b	(.f64 2 (.f64 (/.f64 1 k) (.f64 (/.f64 (cos.f64 k) k) (/.f64 (pow.f64 l 2) (.f64 t (pow.f64 (sin.f64 k) 2))))))
	57.7b	(.f64 2 (exp.f64 (+.f64 (-.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 k) 2)) (-.f64 (log.f64 (pow.f64 l 2)) (log.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)))))))

Compiler

Compiled 10576 to 6250 computations (40.9% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(/.f64 (cos.f64 k) (pow.f64 k 2))
✓	1.6b	(/.f64 l (pow.f64 (sin.f64 k) 2))
✓	2.7b	(.f64 (.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) (/.f64 l t)) (/.f64 l (pow.f64 (sin.f64 k) 2)))
✓	9.2b	(*.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) (/.f64 l t))

series706.0ms (2%)

Counts

3 → 76

Calls

3 calls:

440.0ms	(.f64 (.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) (/.f64 l t)) (/.f64 l (pow.f64 (sin.f64 k) 2)))
152.0ms	(*.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) (/.f64 l t))
113.0ms	(/.f64 l (pow.f64 (sin.f64 k) 2))

rewrite131.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

186×	`add-exp-log_binary64`
94×	`times-frac_binary64`
86×	`add-sqr-sqrt_binary64`
80×	`div-exp_binary64`
76×	`prod-exp_binary64`

Counts

3 → 222

Calls

3 calls:

34.0ms	(.f64 (.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) (/.f64 l t)) (/.f64 l (pow.f64 (sin.f64 k) 2)))
28.0ms	(*.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) (/.f64 l t))
7.0ms	(/.f64 l (pow.f64 (sin.f64 k) 2))

simplify350.0ms (1%)

Algorithm

1×	egg-herbie

Rules

567×	`associate-/r/_binary64`
393×	`associate-*l/_binary64`
372×	`associate-*r/_binary64`
359×	`fma-def_binary64`
307×	`associate-l_binary64`

Counts

298 → 331

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	357	7486
1	895	6349
2	3374	6322
3	4903	6317
4	5112	6317

prune1.4s (4.1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	406	12	418
Fresh	16	8	24
Picked	1	0	1
Done	0	0	0
Total	423	20	443

Error

4.8b

Counts

443 → 20

Alt Table

Status	Error	Program
	38.9b	(.f64 2 (.f64 (.f64 (.f64 (/.f64 (cos.f64 k) (*.f64 k k)) (sqrt.f64 l)) (/.f64 (sqrt.f64 l) t)) (/.f64 l (pow.f64 (sin.f64 k) 2))))
	32.9b	(.f64 2 (.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 k)) k) (.f64 (/.f64 (sqrt.f64 (cos.f64 k)) k) (/.f64 l t))) (/.f64 l (pow.f64 (sin.f64 k) 2))))
	57.9b	(.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))))))
	36.2b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 1 l) (/.f64 (pow.f64 t 3) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	12.6b	(.f64 2 (.f64 (.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) (/.f64 l t)) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 k)) 4)) (/.f64 l (pow.f64 (cbrt.f64 (sin.f64 k)) 2)))))
	60.3b	(.f64 2 (.f64 (.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 k)) (pow.f64 (sqrt.f64 k) 2)) (/.f64 (sqrt.f64 l) (sqrt.f64 t))) (*.f64 (/.f64 (sqrt.f64 (cos.f64 k)) (pow.f64 (sqrt.f64 k) 2)) (/.f64 (sqrt.f64 l) (sqrt.f64 t)))) (/.f64 l (pow.f64 (sin.f64 k) 2))))
	11.2b	(.f64 2 (.f64 (.f64 (.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) (/.f64 (.f64 (cbrt.f64 l) (cbrt.f64 l)) (.f64 (cbrt.f64 t) (cbrt.f64 t)))) (/.f64 (cbrt.f64 l) (cbrt.f64 t))) (/.f64 l (pow.f64 (sin.f64 k) 2))))
	48.1b	(/.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)))
	13.6b	(.f64 2 (.f64 (.f64 (/.f64 l (.f64 (*.f64 k k) t)) (cos.f64 k)) (/.f64 l (pow.f64 (sin.f64 k) 2))))
	56.6b	(.f64 2 (.f64 (.f64 (.f64 (/.f64 (sqrt.f64 l) (sqrt.f64 t)) (/.f64 (sqrt.f64 (cos.f64 k)) k)) (*.f64 (/.f64 (sqrt.f64 l) (sqrt.f64 t)) (/.f64 (sqrt.f64 (cos.f64 k)) k))) (/.f64 l (pow.f64 (sin.f64 k) 2))))
	21.8b	(.f64 2 (.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) (/.f64 1 (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 l 2)))))
	61.5b	(.f64 2 (exp.f64 (+.f64 (+.f64 (-.f64 (log.f64 (cos.f64 k)) (.f64 (log.f64 k) 2)) (log.f64 (/.f64 l t))) (-.f64 (log.f64 l) (*.f64 (log.f64 (sin.f64 k)) 2)))))
	45.3b	(.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))))))
	8.3b	(.f64 2 (.f64 (.f64 (/.f64 1 k) (.f64 (/.f64 (cos.f64 k) k) (/.f64 l t))) (/.f64 l (pow.f64 (sin.f64 k) 2))))
	8.4b	(.f64 2 (.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (cos.f64 k)) (cbrt.f64 (cos.f64 k))) k) (*.f64 (/.f64 (cbrt.f64 (cos.f64 k)) k) (/.f64 l t))) (/.f64 l (pow.f64 (sin.f64 k) 2))))
	55.9b	(/.f64 2 (.f64 (.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 t) 3) (+.f64 (log.f64 l) (log.f64 l)))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	12.6b	(.f64 2 (.f64 (.f64 (/.f64 l t) (.f64 (/.f64 (cos.f64 k) (.f64 k k)) (.f64 (cbrt.f64 l) (cbrt.f64 l)))) (/.f64 (cbrt.f64 l) (pow.f64 (sin.f64 k) 2))))
	21.9b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 k (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2))))))
	16.5b	(.f64 2 (/.f64 (.f64 (*.f64 (/.f64 (cos.f64 k) (pow.f64 k 2)) l) (/.f64 l (pow.f64 (sin.f64 k) 2))) t))
	20.8b	(.f64 2 (.f64 (/.f64 1 k) (.f64 (/.f64 (cos.f64 k) k) (/.f64 (pow.f64 l 2) (.f64 t (pow.f64 (sin.f64 k) 2))))))

Compiler

Compiled 12177 to 5902 computations (51.5% saved)

regimes3.6s (10.2%)

Accuracy

Total 3.5b remaining (40.7%)

Threshold costs 0b (0%)

Counts

378 → 3

Compiler

Compiled 68083 to 48077 computations (29.4% saved)

bsearch186.0ms (0.5%)

Steps

Iters	Range		Point
6	6.848163361951653e+89	3.0754156394448416e+90	1.4364428154027302e+90
7	-4.095425357739559e+154	-1.82368742175595e+152	-1.0800721622191825e+154

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`if-if-or-not_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	75
1	42	75
2	41	75

end1.0ms (0%)

Compiler: Compiled 52 to 35 computations (32.7% saved)

sample15.2s (43.3%)

Algorithm

1×

intervals

Results

4.1s	1157×	body	4096	invalid
3.1s	3860×	body	1024	valid
2.6s	1102×	body	2048	invalid
1.3s	1056×	body	2048	valid
1.2s	483×	body	4096	valid
681.0ms	1382×	body	512	valid
456.0ms	642×	body	1024	invalid
240.0ms	468×	body	512	invalid
184.0ms	1056×	body	128	invalid
154.0ms	448×	body	256	valid
137.0ms	771×	body	128	valid
89.0ms	277×	body	256	invalid

Compiler

Compiled 641 to 440 computations (31.4% saved)

Details

analyze5.1s (14.5%)

sample993.0ms (2.8%)

simplify63.0ms (0.2%)

prune8.0ms (0%)

localize33.0ms (0.1%)

series1.1s (3.2%)

rewrite182.0ms (0.5%)

simplify382.0ms (1.1%)

prune1.0s (3%)

localize26.0ms (0.1%)

series439.0ms (1.2%)

rewrite77.0ms (0.2%)

simplify170.0ms (0.5%)

prune1.0s (3%)

localize31.0ms (0.1%)

series689.0ms (2%)

rewrite117.0ms (0.3%)

simplify384.0ms (1.1%)

prune1.6s (4.6%)

localize31.0ms (0.1%)

series706.0ms (2%)

rewrite131.0ms (0.4%)

simplify350.0ms (1%)

prune1.4s (4.1%)

regimes3.6s (10.2%)

bsearch186.0ms (0.5%)

simplify3.0ms (0%)

end1.0ms (0%)

sample15.2s (43.3%)

Profiling