Details

analyze5.3s (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)

sample254.0ms (0.8%)

Algorithm

1×

intervals

Results

122.0ms	83×	body	1024	valid
41.0ms	42×	body	512	valid
34.0ms	109×	body	128	valid
14.0ms	22×	body	256	valid
10.0ms	31×	body	128	invalid
7.0ms	7×	body	512	invalid
3.0ms	2×	body	1024	invalid
1.0ms	2×	body	256	invalid

Compiler

Compiled 60 to 46 computations (23.3% saved)

simplify73.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

627×	`distribute-rgt-in_binary64`
623×	`distribute-lft-in_binary64`
431×	`associate-/r/_binary64`
404×	`associate-/r*_binary64`
395×	`fma-def_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	38
1	54	35
2	181	35
3	898	35
4	3262	35
5	4861	35
6	4933	35
7	5155	35

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

32.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	32.1b	(/.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 103 to 71 computations (31.1% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.3b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	3.6b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	12.9b	(.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)))
✓	16.1b	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite160.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`pow1_binary64`
36×	`add-exp-log_binary64`
30×	`pow-prod-down_binary64`
28×	`add-sqr-sqrt_binary64`
26×	`associate-*l/_binary64`

Counts

4 → 188

Calls

4 calls:

45.0ms	(.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)))
33.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
30.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))
28.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))

series1.3s (4.3%)

Counts

4 → 132

Calls

4 calls:

549.0ms	(.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)))
431.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
224.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
107.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

simplify362.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

819×	`fma-def_binary64`
515×	`associate-l_binary64`
450×	`associate-r_binary64`
214×	`fma-neg_binary64`
210×	`times-frac_binary64`

Counts

320 → 535

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	307	7471
1	878	6844
2	4503	6834
3	5338	6834

prune707.0ms (2.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	523	12	535
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	524	12	536

Error

14.5b

Counts

536 → 12

Alt Table

Status	Error	Program
	29.7b	(/.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))))
	51.6b	(/.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)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	29.7b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (pow.f64 t 3) l) (/.f64 (sin.f64 k) l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	35.3b	(/.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)))))
	31.3b	(/.f64 2 (.f64 (/.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (*.f64 (/.f64 l (/.f64 (sin.f64 k) l)) (cos.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	30.4b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (/.f64 (pow.f64 t 3) l) l) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	27.2b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 t) (cbrt.f64 t)) 3) l) (/.f64 (pow.f64 (cbrt.f64 t) 3) l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	39.7b	(/.f64 2 (fma.f64 (/.f64 t l) (/.f64 (pow.f64 k 4) l) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 k 4)) (.f64 l l)) (fma.f64 31/180 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 k 6)) (.f64 l l)) (fma.f64 2 (/.f64 (.f64 (pow.f64 t 3) (.f64 k k)) (.f64 l l)) (.f64 1/6 (/.f64 (.f64 t (pow.f64 k 6)) (.f64 l l))))))))
	58.2b	(/.f64 2 (.f64 (.f64 (exp.f64 (+.f64 (-.f64 (*.f64 (log.f64 t) 3) (+.f64 (log.f64 l) (log.f64 l))) (log.f64 (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	32.2b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	60.2b	(/.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 (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
▶	27.0b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 9051 to 5168 computations (42.9% saved)

localize42.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.3b	(.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k))
✓	3.6b	(.f64 (.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k))
✓	9.5b	(/.f64 (*.f64 t t) l)
✓	12.9b	(.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite154.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`pow1_binary64`
56×	`add-exp-log_binary64`
46×	`frac-times_binary64`
45×	`pow-prod-down_binary64`
28×	`add-sqr-sqrt_binary64`

Counts

4 → 187

Calls

4 calls:

42.0ms	(.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
34.0ms	(.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k))
30.0ms	(.f64 (.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k))
24.0ms	(/.f64 (*.f64 t t) l)

series1.2s (3.8%)

Counts

4 → 132

Calls

4 calls:

506.0ms	(.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
415.0ms	(.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k))
209.0ms	(.f64 (.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k))
53.0ms	(/.f64 (*.f64 t t) l)

simplify323.0ms (1%)

Algorithm

1×	egg-herbie

Rules

818×	`fma-def_binary64`
534×	`associate-l_binary64`
445×	`associate-r_binary64`
224×	`times-frac_binary64`
214×	`associate-/l*_binary64`

Counts

319 → 557

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	7640
1	906	6717
2	4432	6707
3	5275	6707

prune794.0ms (2.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	551	6	557
Fresh	7	4	11
Picked	1	0	1
Done	0	0	0
Total	559	10	569

Error

11.0b

Counts

569 → 10

Alt Table

Status	Error	Program
	24.6b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	44.6b	(/.f64 2 (pow.f64 (sqrt.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) 2))
	60.2b	(/.f64 2 (exp.f64 (+.f64 (+.f64 (+.f64 (+.f64 (-.f64 (+.f64 (log.f64 t) (log.f64 t)) (log.f64 l)) (-.f64 (log.f64 t) (log.f64 l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (log.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	35.3b	(/.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)))))
	32.2b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	24.1b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 t (/.f64 t (cbrt.f64 l))) (.f64 (cbrt.f64 l) (cbrt.f64 l))) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
▶	19.9b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	60.2b	(/.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 (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	31.3b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 (.f64 t t) t) (sin.f64 k)) (*.f64 (/.f64 l (/.f64 (sin.f64 k) l)) (cos.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	39.7b	(/.f64 2 (fma.f64 (/.f64 t l) (/.f64 (pow.f64 k 4) l) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 k 4)) (.f64 l l)) (fma.f64 31/180 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 k 6)) (.f64 l l)) (fma.f64 2 (/.f64 (.f64 (pow.f64 t 3) (.f64 k k)) (.f64 l l)) (.f64 1/6 (/.f64 (.f64 t (pow.f64 k 6)) (.f64 l l))))))))

Compiler

Compiled 10233 to 4549 computations (55.5% saved)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
✓	2.3b	(.f64 (.f64 (*.f64 (/.f64 t (/.f64 l t)) (/.f64 t l)) (sin.f64 k)) (tan.f64 k))
✓	3.6b	(.f64 (.f64 (/.f64 t (/.f64 l t)) (/.f64 t l)) (sin.f64 k))
✓	12.9b	(.f64 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite183.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

68×	`add-exp-log_binary64`
67×	`pow1_binary64`
52×	`frac-times_binary64`
45×	`pow-prod-down_binary64`
28×	`associate-*l/_binary64`

Counts

4 → 188

Calls

4 calls:

52.0ms	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
39.0ms	(.f64 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
32.0ms	(.f64 (.f64 (*.f64 (/.f64 t (/.f64 l t)) (/.f64 t l)) (sin.f64 k)) (tan.f64 k))
30.0ms	(.f64 (.f64 (/.f64 t (/.f64 l t)) (/.f64 t l)) (sin.f64 k))

series1.8s (5.9%)

Counts

4 → 144

Calls

4 calls:

616.0ms	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
530.0ms	(.f64 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
434.0ms	(.f64 (.f64 (*.f64 (/.f64 t (/.f64 l t)) (/.f64 t l)) (sin.f64 k)) (tan.f64 k))
228.0ms	(.f64 (.f64 (/.f64 t (/.f64 l t)) (/.f64 t l)) (sin.f64 k))

simplify351.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

588×	`associate-l_binary64`
440×	`times-frac_binary64`
368×	`associate-/l*_binary64`
329×	`associate-/r*_binary64`
190×	`fma-def_binary64`

Counts

332 → 597

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	429	11265
1	1327	10023
2	5485	10023

prune1.1s (3.5%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	587	10	597
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	589	18	607

Error

9.9b

Counts

607 → 18

Alt Table

Status	Error	Program
	60.2b	(/.f64 2 (exp.f64 (+.f64 (+.f64 (+.f64 (+.f64 (-.f64 (+.f64 (log.f64 t) (log.f64 t)) (log.f64 l)) (-.f64 (log.f64 t) (log.f64 l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (log.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	26.6b	(.f64 (cbrt.f64 (.f64 (/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))) (cbrt.f64 (/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	35.3b	(/.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)))))
▶	17.2b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	20.9b	(/.f64 (/.f64 2 (.f64 (.f64 (*.f64 (/.f64 t (/.f64 l t)) (/.f64 t l)) (sin.f64 k)) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
	24.6b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	44.6b	(/.f64 2 (pow.f64 (sqrt.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 (*.f64 t t) l) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) 2))
	37.8b	(.f64 (/.f64 2 (.f64 (.f64 (.f64 (.f64 t t) (sin.f64 k)) (sin.f64 k)) (+.f64 (pow.f64 2 3) (pow.f64 (pow.f64 (/.f64 k t) 2) 3)))) (.f64 (.f64 (.f64 (/.f64 l t) l) (cos.f64 k)) (+.f64 (.f64 2 2) (-.f64 (.f64 (pow.f64 (/.f64 k t) 2) (pow.f64 (/.f64 k t) 2)) (*.f64 2 (pow.f64 (/.f64 k t) 2))))))
	25.5b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 t t) (sin.f64 k)) (.f64 (/.f64 (/.f64 l t) (/.f64 (sin.f64 k) l)) (cos.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	20.0b	(/.f64 2 (pow.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) 3))
	40.7b	(.f64 (/.f64 2 (.f64 (.f64 t (.f64 t (pow.f64 (sin.f64 k) 2))) (+.f64 8 (pow.f64 (pow.f64 (/.f64 k t) 2) 3)))) (.f64 (.f64 (.f64 (/.f64 l t) l) (cos.f64 k)) (+.f64 (.f64 2 2) (-.f64 (.f64 (pow.f64 (/.f64 k t) 2) (pow.f64 (/.f64 k t) 2)) (.f64 2 (pow.f64 (/.f64 k t) 2))))))
	19.9b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (/.f64 t l)) (sin.f64 k)) (sin.f64 k)) (cos.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	31.3b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 (.f64 t t) t) (sin.f64 k)) (*.f64 (/.f64 l (/.f64 (sin.f64 k) l)) (cos.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	32.2b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	32.2b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	60.2b	(/.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 (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	19.6b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (/.f64 t l)) (sin.f64 k)) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	39.7b	(/.f64 2 (fma.f64 (/.f64 t l) (/.f64 (pow.f64 k 4) l) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 k 4)) (.f64 l l)) (fma.f64 31/180 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 k 6)) (.f64 l l)) (fma.f64 2 (/.f64 (.f64 (pow.f64 t 3) (.f64 k k)) (.f64 l l)) (.f64 1/6 (/.f64 (.f64 t (pow.f64 k 6)) (.f64 l l))))))))

Compiler

Compiled 13654 to 6384 computations (53.2% saved)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (/.f64 t (/.f64 l t)) (.f64 (/.f64 t l) (sin.f64 k)))
✓	2.3b	(.f64 (.f64 (/.f64 t (/.f64 l t)) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
✓	3.7b	(*.f64 (/.f64 t l) (sin.f64 k))
✓	12.9b	(.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite180.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

74×	`pow1_binary64`
56×	`add-exp-log_binary64`
50×	`pow-prod-down_binary64`
45×	`frac-times_binary64`
33×	`associate-*l/_binary64`

Counts

4 → 186

Calls

4 calls:

45.0ms	(.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
37.0ms	(.f64 (.f64 (/.f64 t (/.f64 l t)) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
35.0ms	(.f64 (/.f64 t (/.f64 l t)) (.f64 (/.f64 t l) (sin.f64 k)))
30.0ms	(*.f64 (/.f64 t l) (sin.f64 k))

series1.4s (4.4%)

Counts

4 → 144

Calls

4 calls:

536.0ms	(.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
448.0ms	(.f64 (.f64 (/.f64 t (/.f64 l t)) (*.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))
234.0ms	(.f64 (/.f64 t (/.f64 l t)) (.f64 (/.f64 t l) (sin.f64 k)))
136.0ms	(*.f64 (/.f64 t l) (sin.f64 k))

simplify369.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

586×	`fma-def_binary64`
543×	`associate-l_binary64`
494×	`associate-r_binary64`
213×	`associate-/l*_binary64`
175×	`associate-*l/_binary64`

Counts

330 → 559

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	331	7999
1	990	7049
2	4709	7035
3	5247	7035

prune1.2s (3.8%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	550	9	559
Fresh	7	10	17
Picked	1	0	1
Done	0	0	0
Total	558	19	577

Error

8.6b

Counts

577 → 19

Alt Table

Status	Error	Program
	60.2b	(/.f64 2 (exp.f64 (+.f64 (+.f64 (+.f64 (+.f64 (-.f64 (+.f64 (log.f64 t) (log.f64 t)) (log.f64 l)) (-.f64 (log.f64 t) (log.f64 l))) (log.f64 (sin.f64 k))) (log.f64 (tan.f64 k))) (log.f64 (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	26.6b	(.f64 (cbrt.f64 (.f64 (/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))) (cbrt.f64 (/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (/.f64 t l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	35.3b	(/.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)))))
	20.9b	(/.f64 (/.f64 2 (.f64 (.f64 (*.f64 (/.f64 t (/.f64 l t)) (/.f64 t l)) (sin.f64 k)) (tan.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
	17.2b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (/.f64 t l) (sin.f64 k))) (sin.f64 k)) (cos.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	24.9b	(/.f64 2 (/.f64 (.f64 (.f64 (.f64 t (.f64 t (sin.f64 k))) (sin.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))) (.f64 (.f64 (/.f64 l t) l) (cos.f64 k))))
	37.8b	(.f64 (/.f64 2 (.f64 (.f64 (.f64 (.f64 t t) (sin.f64 k)) (sin.f64 k)) (+.f64 (pow.f64 2 3) (pow.f64 (pow.f64 (/.f64 k t) 2) 3)))) (.f64 (.f64 (.f64 (/.f64 l t) l) (cos.f64 k)) (+.f64 (.f64 2 2) (-.f64 (.f64 (pow.f64 (/.f64 k t) 2) (pow.f64 (/.f64 k t) 2)) (*.f64 2 (pow.f64 (/.f64 k t) 2))))))
	25.5b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 t t) (sin.f64 k)) (.f64 (/.f64 (/.f64 l t) (/.f64 (sin.f64 k) l)) (cos.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	18.8b	(/.f64 2 (.f64 (.f64 (/.f64 t (/.f64 (.f64 (/.f64 l t) l) (.f64 t (sin.f64 k)))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	19.6b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (/.f64 t l)) (sin.f64 k)) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	17.4b	(/.f64 2 (.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 (/.f64 t l) (sin.f64 k))) (tan.f64 k))) 3) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	39.2b	(/.f64 2 (fma.f64 (/.f64 t l) (/.f64 (pow.f64 k 4) l) (fma.f64 2 (/.f64 (.f64 (.f64 k k) (pow.f64 t 3)) (.f64 l l)) (.f64 1/3 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 k 4)) (.f64 l l))))))
	23.1b	(/.f64 2 (.f64 (.f64 (/.f64 (.f64 (/.f64 t (/.f64 l t)) (.f64 t (sin.f64 k))) l) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	32.2b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	37.8b	(/.f64 2 (.f64 (.f64 (pow.f64 (/.f64 t l) 2) (/.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))) (/.f64 (+.f64 8 (pow.f64 (pow.f64 (/.f64 k t) 2) 3)) (fma.f64 (pow.f64 (/.f64 k t) 2) (+.f64 (pow.f64 (/.f64 k t) 2) -2) 4))))
	16.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t (*.f64 (/.f64 t l) (sin.f64 k))) l) t) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	32.2b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	33.4b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (/.f64 l t)) (fma.f64 (/.f64 k l) t (.f64 (/.f64 (*.f64 t (pow.f64 k 3)) l) -1/6))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	31.3b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 (.f64 t t) t) (sin.f64 k)) (*.f64 (/.f64 l (/.f64 (sin.f64 k) l)) (cos.f64 k))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 10726 to 4686 computations (56.3% saved)

regimes4.6s (14.9%)

Accuracy

Total 5.2b remaining (37.8%)

Threshold costs 0b (0%)

Compiler

Compiled 44816 to 30996 computations (30.8% saved)

bsearch312.0ms (1%)

Steps

Iters	Range		Point
7	7.512138937471619e-158	3.754975700860059e-156	3.704175901510959e-156
6	-3.5284337766501555e-18	-7.49354768066552e-19	-7.571105654180937e-19

Compiler

Compiled 4 to 3 computations (25% saved)

simplify12.0ms (0%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	117
1	54	117
2	54	117

end3.0ms (0%)

Compiler: Compiled 80 to 50 computations (37.5% saved)

sample8.7s (28.1%)

Algorithm

1×

intervals

Results

3.9s	2694×	body	1024	valid
1.2s	1221×	body	512	valid
1.1s	3518×	body	128	valid
437.0ms	1413×	body	128	invalid
340.0ms	557×	body	256	valid
131.0ms	140×	body	512	invalid
119.0ms	59×	body	1024	invalid
53.0ms	86×	body	256	invalid
23.0ms	10×	body	2048	valid

Compiler

Compiled 778 to 510 computations (34.4% saved)

Details

analyze5.3s (17.1%)

sample254.0ms (0.8%)

simplify73.0ms (0.2%)

prune8.0ms (0%)

localize32.0ms (0.1%)

rewrite160.0ms (0.5%)

series1.3s (4.3%)

simplify362.0ms (1.2%)

prune707.0ms (2.3%)

localize42.0ms (0.1%)

rewrite154.0ms (0.5%)

series1.2s (3.8%)

simplify323.0ms (1%)

prune794.0ms (2.6%)

localize35.0ms (0.1%)

rewrite183.0ms (0.6%)

series1.8s (5.9%)

simplify351.0ms (1.1%)

prune1.1s (3.5%)

localize35.0ms (0.1%)

rewrite180.0ms (0.6%)

series1.4s (4.4%)

simplify369.0ms (1.2%)

prune1.2s (3.8%)

regimes4.6s (14.9%)

bsearch312.0ms (1%)

simplify12.0ms (0%)

end3.0ms (0%)

sample8.7s (28.1%)

Profiling