Details

analyze3.5s (13.1%)

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
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)

sample16.8s (63.3%)

Results

4.6s	1198×	body	4096	invalid
4.0s	4058×	body	1024	valid
2.7s	1093×	body	2048	invalid
1.5s	1016×	body	2048	valid
1.2s	484×	body	4096	valid
993.0ms	1439×	body	512	valid
654.0ms	686×	body	1024	invalid
310.0ms	1102×	body	128	invalid
292.0ms	465×	body	512	invalid
218.0ms	464×	body	256	valid
205.0ms	795×	body	128	valid
122.0ms	275×	body	256	invalid

Compiler

Compiled 58 to 44 computations (24.1% saved)

preprocess40.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

872×	`times-frac_binary64`
333×	`associate-l_binary64`
321×	`associate-*l/_binary64`
300×	`associate-r_binary64`
224×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	152
1	153	140
2	625	128
3	4028	128
0	3	3

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 28 to 21 computations (25% saved)

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

845×	`associate-*l/_binary64`
417×	`associate-/r/_binary64`
388×	`associate-/r*_binary64`
347×	`distribute-rgt-in_binary64`
317×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	38
1	52	35
2	180	32
3	1056	32

Stop Event

1×	node limit

Counts

1 → 2

prune5.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

39.7b

Counts

3 → 2

Alt Table

Status	Error	Program
	45.0b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
▶	40.2b	(.f64 (/.f64 2 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))) (*.f64 l l))

Status

Error

Program

45.0b

(/.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))

▶

40.2b

(*.f64 (/.f64 2 (*.f64 (*.f64 (pow.f64 t 3) (sin.f64 k)) (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))) (*.f64 l l))

Compiler

Compiled 153 to 107 computations (30.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 2 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2))))
✓	1.0b	(*.f64 (pow.f64 t 3) (sin.f64 k))
✓	19.3b	(.f64 (/.f64 2 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))) (*.f64 l l))
✓	27.7b	(.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))

series351.0ms (1.3%)

Counts

4 → 88

Calls

27 calls:

26.0ms	(.f64 (/.f64 2 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))) (*.f64 l l))	t	0
25.0ms	(.f64 (/.f64 2 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))) (*.f64 l l))	l	-inf
25.0ms	(.f64 (/.f64 2 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))) (*.f64 l l))	t	-inf
24.0ms	(.f64 (/.f64 2 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))) (*.f64 l l))	l	0
24.0ms	(.f64 (/.f64 2 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))) (*.f64 l l))	t	inf

rewrite77.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

309×	`log1p-udef_binary64`
176×	`add-sqr-sqrt_binary64`
167×	`associate-r_binary64`
167×	`log1p-expm1-u_binary64`
167×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	90
1	366	90
2	4690	90

Stop Event

1×	node limit

Counts

4 → 84

simplify48.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

428×	`associate-l_binary64`
420×	`associate-r_binary64`
393×	`times-frac_binary64`
331×	`fma-def_binary64`
253×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	2240
1	301	2215
2	1039	2167

Stop Event

1×	node limit

Counts

172 → 121

prune149.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	109	12	121
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	111	12	123

Error

6.3b

Counts

123 → 12

Alt Table

Status	Error	Program
	31.7b	(/.f64 (/.f64 (.f64 2 (.f64 l l)) (pow.f64 (.f64 t (cbrt.f64 (.f64 (sin.f64 k) (.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2))))) 2)) (.f64 t (cbrt.f64 (.f64 (sin.f64 k) (.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2))))))
	30.4b	(.f64 2 (/.f64 (pow.f64 l 2) (.f64 (pow.f64 k 4) t)))
	39.8b	(/.f64 (/.f64 (.f64 2 (.f64 l l)) (.f64 (pow.f64 t 3) (.f64 (sin.f64 k) (tan.f64 k)))) (pow.f64 (/.f64 k t) 2))
	28.1b	(.f64 (/.f64 l (/.f64 t l)) (-.f64 (/.f64 2 (pow.f64 k 4)) (/.f64 1/3 (.f64 k k))))
▶	7.5b	(.f64 2 (.f64 (.f64 (/.f64 l k) (/.f64 l (.f64 k t))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2))))
	22.2b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	22.3b	(.f64 (/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))) (.f64 l l))
	34.2b	(log.f64 (pow.f64 (pow.f64 (exp.f64 l) l) (/.f64 (/.f64 (/.f64 2 (pow.f64 t 3)) (sin.f64 k)) (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))))
	47.0b	(pow.f64 (.f64 l (/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 (pow.f64 t 3) (.f64 (sin.f64 k) (tan.f64 k)))) (/.f64 k t)))) 2)
	31.2b	(pow.f64 (/.f64 (cbrt.f64 (.f64 2 (.f64 l l))) (.f64 t (cbrt.f64 (.f64 (sin.f64 k) (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))))) 3)
	22.3b	(.f64 (.f64 2 (/.f64 (cos.f64 k) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))))) (*.f64 l l))
	28.4b	(*.f64 2 (/.f64 (/.f64 l (/.f64 t l)) (pow.f64 k 4)))

Compiler

Compiled 3495 to 2028 computations (42% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2))
✓	0.4b	(pow.f64 (sin.f64 k) 2)
✓	2.4b	(.f64 (.f64 (/.f64 l k) (/.f64 l (*.f64 k t))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)))
✓	7.0b	(/.f64 l (*.f64 k t))

series184.0ms (0.7%)

Counts

4 → 44

Calls

24 calls:

21.0ms	(.f64 (.f64 (/.f64 l k) (/.f64 l (*.f64 k t))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)))	l	inf
19.0ms	(.f64 (.f64 (/.f64 l k) (/.f64 l (*.f64 k t))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)))	t	-inf
19.0ms	(.f64 (.f64 (/.f64 l k) (/.f64 l (*.f64 k t))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)))	t	inf
18.0ms	(.f64 (.f64 (/.f64 l k) (/.f64 l (*.f64 k t))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)))	l	-inf
17.0ms	(.f64 (.f64 (/.f64 l k) (/.f64 l (*.f64 k t))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)))	t	0

rewrite77.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

276×	`log1p-udef_binary64`
155×	`egg-rr`
153×	`add-sqr-sqrt_binary64`
143×	`log1p-expm1-u_binary64`
143×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	306	47
2	4502	47

Stop Event

1×	node limit

Counts

4 → 155

simplify41.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-def_binary64`
561×	`cancel-sign-sub-inv_binary64`
364×	`fma-neg_binary64`
191×	`distribute-rgt-neg-in_binary64`
187×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	1104
1	164	1094
2	534	1074
3	2488	1066

Stop Event

1×	node limit

Counts

199 → 181

prune325.0ms (1.2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	168	13	181
Fresh	8	3	11
Picked	1	0	1
Done	0	0	0
Total	177	16	193

Error

0.2b

Counts

193 → 16

Alt Table

Status	Error	Program
	22.2b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	12.8b	(.f64 2 (.f64 (.f64 (/.f64 l k) (/.f64 l (.f64 k t))) (/.f64 (cos.f64 k) (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 k) 2) 3)))))
	8.9b	(.f64 2 (/.f64 (/.f64 (.f64 (/.f64 (pow.f64 (/.f64 l k) 2) t) (cos.f64 k)) (sin.f64 k)) (sin.f64 k)))
	4.0b	(.f64 2 (.f64 (.f64 (/.f64 l k) (.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) k) (/.f64 (cbrt.f64 l) t))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2))))
	22.3b	(.f64 (/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))) (.f64 l l))
	7.8b	(.f64 2 (/.f64 (.f64 (.f64 l (/.f64 (/.f64 l k) t)) (cos.f64 k)) (.f64 k (pow.f64 (sin.f64 k) 2))))
	6.0b	(.f64 2 (.f64 (.f64 (/.f64 l k) (.f64 (pow.f64 k -1) (/.f64 l t))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2))))
	4.6b	(.f64 2 (.f64 (.f64 (/.f64 l k) (.f64 (/.f64 l (pow.f64 (cbrt.f64 t) 2)) (/.f64 (pow.f64 k -1) (cbrt.f64 t)))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2))))
	3.1b	(.f64 2 (.f64 (.f64 (/.f64 l k) (.f64 (cbrt.f64 (/.f64 (/.f64 l k) t)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 l k) t)) 2))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2))))
▶	2.1b	(.f64 2 (/.f64 (.f64 (/.f64 (/.f64 l k) t) (*.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2))) (/.f64 k l)))
	13.6b	(.f64 2 (/.f64 (.f64 l (/.f64 l k)) (.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (cos.f64 k)) (.f64 k t))))
	47.0b	(pow.f64 (.f64 l (/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 (pow.f64 t 3) (.f64 (sin.f64 k) (tan.f64 k)))) (/.f64 k t)))) 2)
	34.7b	(.f64 2 (.f64 (.f64 (/.f64 l k) (.f64 (/.f64 1 (sqrt.f64 (.f64 k t))) (/.f64 l (sqrt.f64 (.f64 k t))))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2))))
	7.7b	(.f64 2 (.f64 (.f64 (/.f64 l k) (.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) (pow.f64 (cbrt.f64 (*.f64 k t)) 2)) (cbrt.f64 (/.f64 (/.f64 l k) t)))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2))))
	13.7b	(.f64 2 (/.f64 (.f64 (.f64 l (/.f64 l k)) (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2))) (*.f64 k t)))
	6.7b	(.f64 2 (/.f64 (.f64 (.f64 l (/.f64 (/.f64 l k) t)) (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2))) k))

Compiler

Compiled 4942 to 2411 computations (51.2% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 k) -2)
✓	0.4b	(/.f64 (.f64 (/.f64 (/.f64 l k) t) (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2))) (/.f64 k l))
✓	1.9b	(.f64 (/.f64 (/.f64 l k) t) (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2)))
✓	5.5b	(/.f64 (/.f64 l k) t)

series298.0ms (1.1%)

Counts

4 → 120

Calls

30 calls:

24.0ms	(/.f64 (.f64 (/.f64 (/.f64 l k) t) (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2))) (/.f64 k l))	t	0
21.0ms	(.f64 (/.f64 (/.f64 l k) t) (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2)))	l	inf
19.0ms	(/.f64 (.f64 (/.f64 (/.f64 l k) t) (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2))) (/.f64 k l))	l	inf
19.0ms	(/.f64 (.f64 (/.f64 (/.f64 l k) t) (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2))) (/.f64 k l))	t	inf
19.0ms	(/.f64 (.f64 (/.f64 (/.f64 l k) t) (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2))) (/.f64 k l))	t	-inf

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

284×	`log1p-udef_binary64`
158×	`add-sqr-sqrt_binary64`
147×	`egg-rr`
147×	`log1p-expm1-u_binary64`
147×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	59
1	311	59
2	4643	59

Stop Event

1×	node limit

Counts

4 → 147

simplify59.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

619×	`fma-def_binary64`
614×	`associate-/l/_binary64`
375×	`cancel-sign-sub-inv_binary64`
345×	`fma-neg_binary64`
259×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	2109
1	201	2105
2	636	2087
3	2728	2076

Stop Event

1×	node limit

Counts

267 → 178

prune326.0ms (1.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	172	6	178
Fresh	6	9	15
Picked	1	0	1
Done	0	0	0
Total	179	15	194

Error

0.0b

Counts

194 → 15

Alt Table

Status	Error	Program
	22.3b	(.f64 (/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))) (.f64 l l))
	7.8b	(.f64 2 (/.f64 (.f64 (.f64 l (/.f64 (/.f64 l k) t)) (cos.f64 k)) (.f64 k (pow.f64 (sin.f64 k) 2))))
	4.6b	(.f64 2 (.f64 (.f64 (/.f64 l k) (.f64 (/.f64 l (pow.f64 (cbrt.f64 t) 2)) (/.f64 (pow.f64 k -1) (cbrt.f64 t)))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2))))
	3.1b	(.f64 2 (.f64 (.f64 (/.f64 l k) (.f64 (cbrt.f64 (/.f64 (/.f64 l k) t)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 l k) t)) 2))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2))))
	3.4b	(.f64 2 (pow.f64 (.f64 (*.f64 t (/.f64 k l)) (/.f64 (/.f64 (/.f64 k l) (pow.f64 (sin.f64 k) -2)) (cos.f64 k))) -1))
▶	1.9b	(.f64 2 (/.f64 (/.f64 (/.f64 l k) (/.f64 t (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2)))) (/.f64 k l)))
	6.7b	(.f64 2 (/.f64 (.f64 (.f64 l (/.f64 (/.f64 l k) t)) (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2))) k))
	8.4b	(.f64 2 (.f64 l (/.f64 (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2)) (/.f64 k (/.f64 l (.f64 k t))))))
	4.4b	(.f64 2 (/.f64 (.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) t) (/.f64 (cbrt.f64 l) k)) (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2))) (/.f64 k l)))
	24.4b	(.f64 2 (/.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (/.f64 l (.f64 k t)) (cos.f64 k))) (/.f64 1 (sin.f64 k))) 2) (/.f64 k l)))
	22.2b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	8.9b	(.f64 2 (/.f64 (/.f64 (.f64 (/.f64 (pow.f64 (/.f64 l k) 2) t) (cos.f64 k)) (sin.f64 k)) (sin.f64 k)))
	8.2b	(.f64 2 (/.f64 (/.f64 (.f64 (cos.f64 k) l) (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2)))) (/.f64 k l)))
	47.0b	(pow.f64 (.f64 l (/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 (pow.f64 t 3) (.f64 (sin.f64 k) (tan.f64 k)))) (/.f64 k t)))) 2)
	7.7b	(.f64 2 (.f64 (.f64 (/.f64 l k) (.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) (pow.f64 (cbrt.f64 (*.f64 k t)) 2)) (cbrt.f64 (/.f64 (/.f64 l k) t)))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2))))

Compiler

Compiled 5031 to 2432 computations (51.7% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 k) -2)
✓	0.4b	(/.f64 (/.f64 (/.f64 l k) (/.f64 t (*.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2)))) (/.f64 k l))
✓	1.0b	(/.f64 t (*.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2)))
✓	6.0b	(/.f64 (/.f64 l k) (/.f64 t (*.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2))))

series298.0ms (1.1%)

Counts

3 → 96

Calls

24 calls:

22.0ms	(/.f64 (/.f64 l k) (/.f64 t (*.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2))))	k	-inf
21.0ms	(/.f64 (/.f64 (/.f64 l k) (/.f64 t (*.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2)))) (/.f64 k l))	t	-inf
20.0ms	(/.f64 (/.f64 (/.f64 l k) (/.f64 t (*.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2)))) (/.f64 k l))	l	0
19.0ms	(/.f64 (/.f64 (/.f64 l k) (/.f64 t (*.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2)))) (/.f64 k l))	l	-inf
19.0ms	(/.f64 (/.f64 (/.f64 l k) (/.f64 t (*.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2)))) (/.f64 k l))	t	0

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

162×	`add-sqr-sqrt_binary64`
153×	`egg-rr`
153×	`times-frac_binary64`
151×	`log1p-expm1-u_binary64`
151×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	317	57
2	4978	57

Stop Event

1×	node limit

Counts

3 → 153

simplify58.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

375×	`cancel-sign-sub-inv_binary64`
345×	`fma-neg_binary64`
259×	`times-frac_binary64`
226×	`associate-/l*_binary64`
223×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	2091
1	221	2088
2	723	2059
3	3206	2049

Stop Event

1×	node limit

Counts

249 → 183

prune331.0ms (1.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	205	3	208
Fresh	5	9	14
Picked	0	1	1
Done	0	0	0
Total	210	13	223

Error

0.0b

Counts

223 → 13

Alt Table

Status	Error	Program
	22.3b	(.f64 (/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))) (.f64 l l))
	7.8b	(.f64 2 (/.f64 (.f64 (.f64 l (/.f64 (/.f64 l k) t)) (cos.f64 k)) (.f64 k (pow.f64 (sin.f64 k) 2))))
	5.5b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) k) (/.f64 (/.f64 l t) (pow.f64 (sin.f64 k) 2))) (/.f64 k l)))
	47.0b	(pow.f64 (.f64 l (/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 (pow.f64 t 3) (.f64 (sin.f64 k) (tan.f64 k)))) (/.f64 k t)))) 2)
	3.4b	(.f64 2 (pow.f64 (.f64 (*.f64 t (/.f64 k l)) (/.f64 (/.f64 (/.f64 k l) (pow.f64 (sin.f64 k) -2)) (cos.f64 k))) -1))
✓	1.9b	(.f64 2 (/.f64 (/.f64 (/.f64 l k) (/.f64 t (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2)))) (/.f64 k l)))
	24.4b	(.f64 2 (/.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (/.f64 l (.f64 k t)) (cos.f64 k))) (/.f64 1 (sin.f64 k))) 2) (/.f64 k l)))
	22.2b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	8.9b	(.f64 2 (/.f64 (/.f64 (.f64 (/.f64 (pow.f64 (/.f64 l k) 2) t) (cos.f64 k)) (sin.f64 k)) (sin.f64 k)))
	5.1b	(.f64 2 (.f64 (/.f64 (/.f64 (/.f64 l k) t) k) (/.f64 (*.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2)) (/.f64 1 l))))
	8.0b	(.f64 2 (/.f64 (.f64 l (*.f64 (/.f64 1 k) (/.f64 (pow.f64 (sin.f64 k) -2) (/.f64 t (cos.f64 k))))) (/.f64 k l)))
	3.1b	(.f64 2 (.f64 (.f64 (/.f64 l k) (.f64 (cbrt.f64 (/.f64 (/.f64 l k) t)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 l k) t)) 2))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2))))
	6.7b	(.f64 2 (/.f64 (.f64 (.f64 l (/.f64 (/.f64 l k) t)) (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2))) k))

Compiler

Compiled 5443 to 2692 computations (50.5% saved)

regimes1.6s (5.9%)

Accuracy

Total 1.8b remaining (80.3%)

Threshold costs 0b (0%)

Counts

196 → 3

Compiler

Compiled 29357 to 20442 computations (30.4% saved)

bsearch1.6s (5.9%)

Algorithm

2×	binary-search

Calls

2 calls:

881.0ms	k
683.0ms	k

Steps

Iters	Point		Range
6.310209504498685e-147	∈ [	1.982194971978819e-163	,	6.691659198657603e-143	]
-1.1598924007845897e-155	∈ [	-3.9980939164719945e-147	,	-7.738586648085642e-181	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	98
1	41	98

Stop Event

1×

saturated

end217.0ms (0.8%)

Stop Event

1×

fuel

Compiler

Compiled 440 to 285 computations (35.2% saved)

Details

analyze3.5s (13.1%)

sample16.8s (63.3%)

preprocess40.0ms (0.1%)

simplify20.0ms (0.1%)

prune5.0ms (0%)

localize14.0ms (0.1%)

series351.0ms (1.3%)

rewrite77.0ms (0.3%)

simplify48.0ms (0.2%)

prune149.0ms (0.6%)

localize13.0ms (0%)

series184.0ms (0.7%)

rewrite77.0ms (0.3%)

simplify41.0ms (0.2%)

prune325.0ms (1.2%)

localize13.0ms (0.1%)

series298.0ms (1.1%)

rewrite81.0ms (0.3%)

simplify59.0ms (0.2%)

prune326.0ms (1.2%)

localize15.0ms (0.1%)

series298.0ms (1.1%)

rewrite81.0ms (0.3%)

simplify58.0ms (0.2%)

prune331.0ms (1.2%)

regimes1.6s (5.9%)

bsearch1.6s (5.9%)

simplify3.0ms (0%)

end217.0ms (0.8%)

Profiling