Details

analyze3.5s (13.7%)

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)

sample17.0s (66.4%)

Results

4.4s	1190×	body	4096	invalid
4.1s	3990×	body	1024	valid
2.8s	1131×	body	2048	invalid
1.6s	1104×	body	2048	valid
1.3s	501×	body	4096	valid
908.0ms	1368×	body	512	valid
654.0ms	720×	body	1024	invalid
312.0ms	496×	body	512	invalid
306.0ms	1053×	body	128	invalid
227.0ms	474×	body	256	valid
202.0ms	819×	body	128	valid
124.0ms	290×	body	256	invalid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify35.0ms (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

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)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	0.8b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	13.5b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	29.1b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

series310.0ms (1.2%)

Counts

4 → 132

Calls

4 calls:

111.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
107.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
64.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
28.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

290×	`expm1-udef_binary64`
290×	`log1p-udef_binary64`
165×	`add-sqr-sqrt_binary64`
157×	`log1p-expm1-u_binary64`
157×	`expm1-log1p-u_binary64`

Counts

4 → 109

Calls

4 calls:

78.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
78.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
78.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))
78.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	74
1	343	73
2	4160	73
3	5154	73

simplify66.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

827×	`times-frac_binary64`
656×	`associate-/l*_binary64`
496×	`associate-l_binary64`
372×	`associate-/r*_binary64`
185×	`associate-/r/_binary64`

Counts

241 → 139

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	2796
1	239	2790
2	946	2780
3	5137	2780

prune192.0ms (0.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	126	13	139
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	13	140

Error

16.2b

Counts

140 → 13

Alt Table

Status	Error	Program
	47.1b	(/.f64 2 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t 3/2) l) 2) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	38.2b	(/.f64 2 (/.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2))) (.f64 l l)))
	35.1b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t l) (/.f64 (*.f64 t t) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	62.2b	(/.f64 2 (.f64 (.f64 (fma.f64 1/120 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (pow.f64 k 5)) (fma.f64 (/.f64 (pow.f64 t 3) l) (/.f64 k l) (fma.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (pow.f64 k 3)) -1/6 (.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (pow.f64 k 7)) -1/5040)))) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	30.7b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))) 3) (pow.f64 (/.f64 k t) 2)))
	49.2b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (pow.f64 t 3/2) (*.f64 (pow.f64 t 3/2) (pow.f64 l -2))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
▶	22.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	36.6b	(/.f64 2 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 t 3) l) (*.f64 (sin.f64 k) (tan.f64 k))) l) (pow.f64 (/.f64 k t) 2)))
	31.3b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	51.5b	(/.f64 2 (pow.f64 (.f64 (/.f64 k t) (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (*.f64 (sin.f64 k) (tan.f64 k))))) 2))
	32.2b	(/.f64 2 (/.f64 (*.f64 (pow.f64 k 4) t) (pow.f64 l 2)))
	30.8b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	36.7b	(/.f64 2 (.f64 (.f64 (/.f64 (*.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k)) l) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))

Compiler

Compiled 4274 to 2494 computations (41.6% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 k) 2)
✓	0.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	6.6b	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	19.3b	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))

series152.0ms (0.6%)

Counts

4 → 16

Calls

4 calls:

112.0ms	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))
23.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
13.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
4.0ms	(pow.f64 (sin.f64 k) 2)

rewrite73.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

250×	`expm1-udef_binary64`
250×	`log1p-udef_binary64`
232×	`log-pow_binary64`
142×	`add-sqr-sqrt_binary64`
136×	`log1p-expm1-u_binary64`

Counts

4 → 112

Calls

4 calls:

71.0ms	(pow.f64 (sin.f64 k) 2)
71.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
71.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
71.0ms	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	295	53
2	3707	53
3	5046	53

simplify37.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

664×	`fma-neg_binary64`
520×	`associate-/r*_binary64`
283×	`fma-def_binary64`
223×	`distribute-rgt-neg-in_binary64`
219×	`distribute-lft-neg-in_binary64`

Counts

128 → 143

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	410
1	181	376
2	576	352
3	2082	338
4	5054	338

prune235.0ms (0.9%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	128	15	143
Fresh	5	7	12
Picked	1	0	1
Done	0	0	0
Total	134	22	156

Error

7.6b

Counts

156 → 22

Alt Table

Status	Error	Program
	20.7b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (.f64 l l)) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
	30.0b	(/.f64 2 (+.f64 (.f64 (/.f64 t l) (+.f64 (/.f64 (pow.f64 k 4) l) (/.f64 (.f64 1/6 (pow.f64 k 6)) l))) (.f64 (/.f64 t l) (+.f64 (/.f64 (.f64 31/360 (pow.f64 k 8)) l) (/.f64 (*.f64 173/5040 (pow.f64 k 10)) l)))))
	47.1b	(/.f64 2 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t 3/2) l) 2) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	45.2b	(/.f64 2 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2)) 3))
	50.3b	(/.f64 2 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2) 3)))
	35.1b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t l) (/.f64 (*.f64 t t) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	30.7b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))) 3) (pow.f64 (/.f64 k t) 2)))
	49.2b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (pow.f64 t 3/2) (*.f64 (pow.f64 t 3/2) (pow.f64 l -2))) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	31.3b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
▶	20.6b	(/.f64 2 (.f64 (.f64 k k) (.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (/.f64 1 (.f64 (cos.f64 k) (.f64 l l))))))
	21.0b	(/.f64 2 (.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 k) (.f64 l l))) 2)) (/.f64 (.f64 k k) (cbrt.f64 (.f64 (cos.f64 k) (*.f64 l l))))))
	45.0b	(/.f64 2 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2))
	36.7b	(/.f64 2 (.f64 (.f64 (/.f64 (*.f64 (/.f64 (pow.f64 t 3) l) (sin.f64 k)) l) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	35.0b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (.f64 l (sqrt.f64 (cos.f64 k)))) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 l (sqrt.f64 (cos.f64 k))))))
	25.2b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 k) 2) 3)))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	36.6b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 k k) t) (.f64 l (sqrt.f64 (cos.f64 k)))) (/.f64 (pow.f64 (sin.f64 k) 2) (*.f64 l (sqrt.f64 (cos.f64 k))))))
	21.1b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 k k) t) (pow.f64 (cbrt.f64 (.f64 (cos.f64 k) (.f64 l l))) 2)) (/.f64 (pow.f64 (sin.f64 k) 2) (cbrt.f64 (.f64 (cos.f64 k) (*.f64 l l))))))
	45.2b	(/.f64 2 (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (.f64 l (sqrt.f64 (cos.f64 k)))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2)) 2)))
	38.5b	(/.f64 2 (.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (cos.f64 k)) (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (.f64 l l))))
	49.3b	(/.f64 2 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) 2)) 2) (.f64 l (sqrt.f64 (cos.f64 k)))) (/.f64 (cbrt.f64 (pow.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) 2)) (*.f64 l (sqrt.f64 (cos.f64 k))))))
	27.8b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 k) 2))) 1))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	30.8b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))

Compiler

Compiled 4638 to 2603 computations (43.9% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1 (.f64 (cos.f64 k) (.f64 l l)))
	0.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	9.4b	(.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (/.f64 1 (.f64 (cos.f64 k) (.f64 l l))))
✓	13.9b	(.f64 (.f64 k k) (.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (/.f64 1 (.f64 (cos.f64 k) (.f64 l l)))))

series229.0ms (0.9%)

Counts

3 → 96

Calls

3 calls:

108.0ms

(*.f64 (*.f64 k k) (*.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (/.f64 1 (*.f64 (cos.f64 k) (*.f64 l l)))))

89.0ms

(*.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (/.f64 1 (*.f64 (cos.f64 k) (*.f64 l l))))

31.0ms

(/.f64 1 (*.f64 (cos.f64 k) (*.f64 l l)))

rewrite65.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

266×	`expm1-udef_binary64`
266×	`log1p-udef_binary64`
250×	`log-pow_binary64`
155×	`associate-r_binary64`
155×	`add-sqr-sqrt_binary64`

Counts

3 → 80

Calls

3 calls:

63.0ms

(/.f64 1 (*.f64 (cos.f64 k) (*.f64 l l)))

63.0ms

(*.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (/.f64 1 (*.f64 (cos.f64 k) (*.f64 l l))))

63.0ms

(*.f64 (*.f64 k k) (*.f64 (*.f64 t (pow.f64 (sin.f64 k) 2)) (/.f64 1 (*.f64 (cos.f64 k) (*.f64 l l)))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	58
1	328	56
2	3722	56
3	4965	56

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

902×	`fma-def_binary64`
740×	`associate-/r/_binary64`
709×	`associate-/l/_binary64`
286×	`times-frac_binary64`
275×	`associate-/l*_binary64`

Counts

176 → 110

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	2124
1	193	2120
2	587	2114
3	2394	2086
4	5315	2086

prune261.0ms (1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	127	7	134
Fresh	7	14	21
Picked	1	0	1
Done	0	0	0
Total	135	21	156

Error

6.0b

Counts

156 → 21

Alt Table

Status	Error	Program
	20.8b	(/.f64 2 (.f64 (.f64 k k) (pow.f64 (cbrt.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 (cos.f64 k) (*.f64 l l)))) 3)))
	44.7b	(/.f64 2 (pow.f64 (cbrt.f64 (pow.f64 (.f64 k (/.f64 (.f64 (sin.f64 k) (sqrt.f64 t)) (*.f64 l (sqrt.f64 (cos.f64 k))))) 2)) 3))
	25.2b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 k) 2) 3)))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
▶	16.2b	(/.f64 2 (.f64 (.f64 k k) (/.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 (cos.f64 k) l)) l)))
	21.1b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 k k) t) (pow.f64 (cbrt.f64 (.f64 (cos.f64 k) (.f64 l l))) 2)) (/.f64 (pow.f64 (sin.f64 k) 2) (cbrt.f64 (.f64 (cos.f64 k) (*.f64 l l))))))
	45.2b	(/.f64 2 (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (.f64 l (sqrt.f64 (cos.f64 k)))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2)) 2)))
	20.6b	(/.f64 2 (.f64 (.f64 k k) (.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 (pow.f64 (.f64 (cos.f64 k) l) -1) (pow.f64 l -1)))))
	25.7b	(/.f64 2 (.f64 (.f64 k k) (.f64 (/.f64 t l) (+.f64 (/.f64 (.f64 k k) l) (/.f64 (*.f64 (pow.f64 k 4) 1/6) l)))))
	49.3b	(/.f64 2 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) 2)) 2) (.f64 l (sqrt.f64 (cos.f64 k)))) (/.f64 (cbrt.f64 (pow.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) 2)) (*.f64 l (sqrt.f64 (cos.f64 k))))))
	20.6b	(/.f64 2 (.f64 (.f64 k k) (/.f64 t (/.f64 (.f64 (cos.f64 k) (.f64 l l)) (pow.f64 (sin.f64 k) 2)))))
	27.8b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 k) 2))) 1))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	47.1b	(/.f64 2 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t 3/2) l) 2) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	36.6b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 k k) t) (.f64 l (sqrt.f64 (cos.f64 k)))) (/.f64 (pow.f64 (sin.f64 k) 2) (*.f64 l (sqrt.f64 (cos.f64 k))))))
	35.1b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t l) (/.f64 (*.f64 t t) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	44.5b	(/.f64 2 (pow.f64 (.f64 k (/.f64 (.f64 (sin.f64 k) (sqrt.f64 t)) (*.f64 l (sqrt.f64 (cos.f64 k))))) 2))
	38.5b	(/.f64 2 (.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (cos.f64 k)) (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (.f64 l l))))
	30.7b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))) 3) (pow.f64 (/.f64 k t) 2)))
	31.3b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	45.0b	(/.f64 2 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2))
	30.8b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	35.0b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (.f64 l (sqrt.f64 (cos.f64 k)))) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (*.f64 l (sqrt.f64 (cos.f64 k))))))

Compiler

Compiled 4389 to 2366 computations (46.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(pow.f64 (sin.f64 k) 2)
	0.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	2.3b	(/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 (cos.f64 k) l))
✓	13.9b	(.f64 (.f64 k k) (/.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 (cos.f64 k) l)) l))

series163.0ms (0.6%)

Counts

2 → 40

Calls

2 calls:

106.0ms	(.f64 (.f64 k k) (/.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 (cos.f64 k) l)) l))
57.0ms	(/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 (cos.f64 k) l))

rewrite76.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

268×	`expm1-udef_binary64`
268×	`log1p-udef_binary64`
150×	`add-sqr-sqrt_binary64`
141×	`log1p-expm1-u_binary64`
141×	`expm1-log1p-u_binary64`

Counts

2 → 82

Calls

2 calls:

74.0ms	(/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 (cos.f64 k) l))
74.0ms	(.f64 (.f64 k k) (/.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 (cos.f64 k) l)) l))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	43
1	302	43
2	4142	43
3	5188	43

simplify44.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

678×	`associate-*l/_binary64`
662×	`fma-def_binary64`
612×	`associate-/r/_binary64`
573×	`associate-/l/_binary64`
236×	`associate-/l*_binary64`

Counts

122 → 100

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	1104
1	141	1102
2	443	1098
3	1861	1081
4	5251	1081

prune298.0ms (1.2%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	145	8	153
Fresh	4	16	20
Picked	1	0	1
Done	0	0	0
Total	150	24	174

Error

5.9b

Counts

174 → 24

Alt Table

Status	Error	Program
	20.8b	(/.f64 2 (.f64 (.f64 k k) (pow.f64 (cbrt.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 (cos.f64 k) (*.f64 l l)))) 3)))
	44.7b	(/.f64 2 (pow.f64 (cbrt.f64 (pow.f64 (.f64 k (/.f64 (.f64 (sin.f64 k) (sqrt.f64 t)) (*.f64 l (sqrt.f64 (cos.f64 k))))) 2)) 3))
	14.5b	(/.f64 2 (.f64 (.f64 k k) (/.f64 (.f64 (pow.f64 (sin.f64 k) 2) (.f64 t (/.f64 1 (*.f64 (cos.f64 k) l)))) l)))
	25.2b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 k) 2) 3)))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	47.1b	(/.f64 2 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t 3/2) l) 2) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	14.5b	(/.f64 2 (.f64 (.f64 k k) (/.f64 (*.f64 t (/.f64 1 (/.f64 (cos.f64 k) (/.f64 (pow.f64 (sin.f64 k) 2) l)))) l)))
	35.1b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t l) (/.f64 (*.f64 t t) l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	22.5b	(/.f64 2 (/.f64 (.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 k k)) (.f64 l (*.f64 (cos.f64 k) l))))
	44.5b	(/.f64 2 (pow.f64 (.f64 k (/.f64 (.f64 (sin.f64 k) (sqrt.f64 t)) (*.f64 l (sqrt.f64 (cos.f64 k))))) 2))
	15.1b	(/.f64 2 (/.f64 (.f64 (.f64 k k) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 (cos.f64 k) l))) l))
	45.2b	(/.f64 2 (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (.f64 l (sqrt.f64 (cos.f64 k)))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2)) 2)))
	20.6b	(/.f64 2 (.f64 (.f64 k k) (.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 (pow.f64 (.f64 (cos.f64 k) l) -1) (pow.f64 l -1)))))
	38.5b	(/.f64 2 (.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (cos.f64 k)) (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (.f64 l l))))
	16.5b	(/.f64 2 (/.f64 (.f64 k k) (.f64 l (/.f64 (.f64 (cos.f64 k) l) (.f64 t (pow.f64 (sin.f64 k) 2))))))
	30.7b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))) 3) (pow.f64 (/.f64 k t) 2)))
	14.5b	(/.f64 2 (.f64 (.f64 k k) (/.f64 (.f64 (/.f64 t (.f64 (cos.f64 k) l)) (pow.f64 (sin.f64 k) 2)) l)))
	27.2b	(/.f64 2 (.f64 (.f64 k k) (/.f64 (/.f64 (*.f64 (pow.f64 k 2) t) l) l)))
	14.6b	(/.f64 2 (.f64 (.f64 k k) (/.f64 (.f64 t (.f64 (pow.f64 (sin.f64 k) 2) (/.f64 1 (*.f64 (cos.f64 k) l)))) l)))
	36.6b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 k k) t) (.f64 l (sqrt.f64 (cos.f64 k)))) (/.f64 (pow.f64 (sin.f64 k) 2) (*.f64 l (sqrt.f64 (cos.f64 k))))))
	49.3b	(/.f64 2 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) 2)) 2) (.f64 l (sqrt.f64 (cos.f64 k)))) (/.f64 (cbrt.f64 (pow.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) 2)) (*.f64 l (sqrt.f64 (cos.f64 k))))))
	31.3b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	20.6b	(/.f64 2 (.f64 (.f64 k k) (/.f64 t (/.f64 (.f64 (cos.f64 k) (.f64 l l)) (pow.f64 (sin.f64 k) 2)))))
	45.0b	(/.f64 2 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2))
	30.8b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 3) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))

Compiler

Compiled 4273 to 2212 computations (48.2% saved)

regimes1.7s (6.8%)

Accuracy

Total 8.0b remaining (57.8%)

Threshold costs 0b (0%)

Counts

176 → 5

Compiler

Compiled 28484 to 20177 computations (29.2% saved)

bsearch462.0ms (1.8%)

Steps

Iters	Range		Point
4	9.701676200059457e-45	1.4937765252164383e-44	1.0228613744328519e-44
6	1.2678327152192543e-243	1.8064625932058867e-242	1.3030292772025043e-243
11	-1.5886311044842954e-222	-3.2408857692917596e-245	-5.733002091172997e-223
1	-9.27273852003733e+167	-2.259519454939503e+165	-4.705346351463268e+166

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	184
1	64	184
2	63	184

end448.0ms (1.8%)

Compiler: Compiled 853 to 544 computations (36.2% saved)

Details

analyze3.5s (13.7%)

sample17.0s (66.4%)

simplify35.0ms (0.1%)

prune4.0ms (0%)

localize15.0ms (0.1%)

series310.0ms (1.2%)

rewrite81.0ms (0.3%)

simplify66.0ms (0.3%)

prune192.0ms (0.7%)

localize15.0ms (0.1%)

series152.0ms (0.6%)

rewrite73.0ms (0.3%)

simplify37.0ms (0.1%)

prune235.0ms (0.9%)

localize15.0ms (0.1%)

series229.0ms (0.9%)

rewrite65.0ms (0.3%)

simplify67.0ms (0.3%)

prune261.0ms (1%)

localize14.0ms (0.1%)

series163.0ms (0.6%)

rewrite76.0ms (0.3%)

simplify44.0ms (0.2%)

prune298.0ms (1.2%)

regimes1.7s (6.8%)

bsearch462.0ms (1.8%)

simplify4.0ms (0%)

end448.0ms (1.8%)

Profiling