Details

analyze3.4s (13%)

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)

sample17.5s (67.2%)

Results

4.6s	1213×	body	4096	invalid
4.1s	4095×	body	1024	valid
3.1s	1153×	body	2048	invalid
1.8s	1054×	body	2048	valid
1.2s	455×	body	4096	valid
905.0ms	1341×	body	512	valid
643.0ms	709×	body	1024	invalid
329.0ms	478×	body	512	invalid
258.0ms	1048×	body	128	invalid
213.0ms	489×	body	256	valid
211.0ms	822×	body	128	valid
136.0ms	316×	body	256	invalid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify34.0ms (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

41.7b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	41.7b	(/.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)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	1.0b	(/.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)))
✓	18.0b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	28.3b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

series454.0ms (1.7%)

Counts

4 → 132

Calls

4 calls:

208.0ms	(/.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)))
110.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
107.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
29.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

317×	`log1p-udef_binary64`
180×	`add-sqr-sqrt_binary64`
171×	`log1p-expm1-u_binary64`
171×	`expm1-log1p-u_binary64`
169×	`add-log-exp_binary64`

Counts

4 → 105

Calls

4 calls:

89.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
89.0ms	(/.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)))
89.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))
89.0ms	(.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	17	91
1	372	89
2	4634	89
3	5300	89

simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

818×	`times-frac_binary64`
562×	`associate-/l*_binary64`
409×	`associate-/r*_binary64`
393×	`associate-r_binary64`
343×	`associate-l_binary64`

Counts

237 → 136

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	81	3222
1	238	3218
2	922	3193
3	5304	3193

prune169.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	124	12	136
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	12	137

Error

12.9b

Counts

137 → 12

Alt Table

Status	Error	Program
	35.9b	(/.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)))
▶	21.6b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	42.6b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (tan.f64 k)) (.f64 l l)) (pow.f64 (/.f64 k t) 2)))
	22.0b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	48.9b	(/.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)))
	28.9b	(.f64 (/.f64 (.f64 l l) t) (-.f64 (/.f64 2 (pow.f64 k 4)) (/.f64 1/3 (*.f64 k k))))
	29.8b	(.f64 2 (/.f64 (pow.f64 l 2) (.f64 (pow.f64 k 4) t)))
	30.5b	(/.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)))
	40.0b	(/.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)))
	51.1b	(pow.f64 (/.f64 (sqrt.f64 2) (.f64 (/.f64 k t) (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))))) 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))
	51.6b	(.f64 (cbrt.f64 (/.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))) (pow.f64 (cbrt.f64 (/.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))) 2))

Compiler

Compiled 4002 to 2296 computations (42.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 k) 2)
✓	1.4b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	5.8b	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	18.9b	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))

series195.0ms (0.7%)

Counts

4 → 16

Calls

4 calls:

155.0ms	(/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (*.f64 t (pow.f64 (sin.f64 k) 2))))
21.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
13.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
5.0ms	(pow.f64 (sin.f64 k) 2)

rewrite77.0ms (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 → 111

Calls

4 calls:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	295	53
2	3689	53
3	5033	53

simplify58.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-neg_binary64`
653×	`times-frac_binary64`
313×	`distribute-rgt-neg-in_binary64`
309×	`distribute-lft-neg-in_binary64`
275×	`fma-def_binary64`

Counts

127 → 142

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	398
1	195	366
2	610	330
3	2165	322
4	4838	322
5	5049	322

prune202.0ms (0.8%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	129	13	142
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	135	19	154

Error

5.4b

Counts

154 → 19

Alt Table

Status	Error	Program
	35.9b	(/.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)))
	32.4b	(.f64 2 (.f64 (/.f64 (.f64 l (sqrt.f64 (cos.f64 k))) (.f64 k k)) (/.f64 (.f64 l (sqrt.f64 (cos.f64 k))) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	44.1b	(.f64 2 (pow.f64 (/.f64 (.f64 l (sqrt.f64 (cos.f64 k))) (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t)))) 2))
	30.5b	(/.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)))
	39.2b	(.f64 2 (.f64 (/.f64 1 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t)))) (/.f64 (.f64 (cos.f64 k) (.f64 l l)) (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))))))
	51.1b	(pow.f64 (/.f64 (sqrt.f64 2) (.f64 (/.f64 k t) (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))))) 2)
	21.8b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (.f64 (pow.f64 (cbrt.f64 (sin.f64 k)) 2) (.f64 (cbrt.f64 (sin.f64 k)) (sin.f64 k)))))))
	39.2b	(.f64 2 (.f64 (/.f64 (cos.f64 k) (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t)))) (/.f64 (.f64 l l) (.f64 k (*.f64 (sin.f64 k) (sqrt.f64 t))))))
	44.6b	(.f64 2 (expm1.f64 (log1p.f64 (pow.f64 (/.f64 (.f64 l (sqrt.f64 (cos.f64 k))) (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t)))) 2))))
	21.1b	(.f64 2 (.f64 (/.f64 (.f64 (cos.f64 k) (.f64 l l)) (.f64 k k)) (/.f64 1 (.f64 t (pow.f64 (sin.f64 k) 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))
▶	20.1b	(.f64 2 (.f64 (/.f64 (cos.f64 k) (.f64 k k)) (/.f64 (.f64 l l) (*.f64 t (pow.f64 (sin.f64 k) 2)))))
	48.9b	(/.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)))
	33.5b	(.f64 2 (.f64 (/.f64 (.f64 l (sqrt.f64 (cos.f64 k))) (.f64 (.f64 k k) t)) (/.f64 (.f64 l (sqrt.f64 (cos.f64 k))) (pow.f64 (sin.f64 k) 2))))
	29.8b	(.f64 2 (/.f64 (pow.f64 l 2) (.f64 (pow.f64 k 4) t)))
	39.3b	(.f64 2 (.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 k) (.f64 l l))) 2) (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t)))) (/.f64 (cbrt.f64 (.f64 (cos.f64 k) (.f64 l l))) (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))))))
	26.8b	(.f64 2 (.f64 (/.f64 l t) (-.f64 (/.f64 l (pow.f64 k 4)) (*.f64 (/.f64 l k) (/.f64 1/6 k)))))
	20.6b	(.f64 2 (.f64 (/.f64 (cos.f64 k) (.f64 (.f64 k k) t)) (/.f64 (*.f64 l l) (pow.f64 (sin.f64 k) 2))))
	44.2b	(.f64 2 (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 l (sqrt.f64 (cos.f64 k))) (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t)))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 l (sqrt.f64 (cos.f64 k))) (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t)))) 2)) 2)))

Compiler

Compiled 4330 to 2364 computations (45.4% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 (cos.f64 k) (*.f64 k k))
	1.4b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	11.4b	(/.f64 (.f64 l l) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	12.9b	(.f64 (/.f64 (cos.f64 k) (.f64 k k)) (/.f64 (.f64 l l) (.f64 t (pow.f64 (sin.f64 k) 2))))

series247.0ms (0.9%)

Counts

3 → 84

Calls

3 calls:

152.0ms	(.f64 (/.f64 (cos.f64 k) (.f64 k k)) (/.f64 (.f64 l l) (.f64 t (pow.f64 (sin.f64 k) 2))))
92.0ms	(/.f64 (.f64 l l) (.f64 t (pow.f64 (sin.f64 k) 2)))
3.0ms	(/.f64 (cos.f64 k) (*.f64 k k))

rewrite86.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

266×	`expm1-udef_binary64`
266×	`log1p-udef_binary64`
161×	`egg-rr`
150×	`add-sqr-sqrt_binary64`
142×	`log1p-expm1-u_binary64`

Counts

3 → 161

Calls

3 calls:

82.0ms	(/.f64 (cos.f64 k) (*.f64 k k))
82.0ms	(/.f64 (.f64 l l) (.f64 t (pow.f64 (sin.f64 k) 2)))
82.0ms	(.f64 (/.f64 (cos.f64 k) (.f64 k k)) (/.f64 (.f64 l l) (.f64 t (pow.f64 (sin.f64 k) 2))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	304	47
2	4148	47
3	5241	47

simplify76.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

623×	`fma-neg_binary64`
579×	`fma-def_binary64`
518×	`associate-/r/_binary64`
470×	`associate-/l/_binary64`
300×	`cancel-sign-sub-inv_binary64`

Counts

245 → 190

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	63	1726
1	162	1718
2	506	1698
3	2036	1681
4	4757	1680
5	5099	1680

prune340.0ms (1.3%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	205	9	214
Fresh	8	10	18
Picked	1	0	1
Done	0	0	0
Total	214	19	233

Error

1.3b

Counts

233 → 19

Alt Table

Status	Error	Program
	17.6b	(.f64 2 (/.f64 (/.f64 (cos.f64 k) k) (.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 l l)) k)))
	33.5b	(.f64 2 (.f64 (/.f64 (.f64 l (sqrt.f64 (cos.f64 k))) (.f64 (.f64 k k) t)) (/.f64 (.f64 l (sqrt.f64 (cos.f64 k))) (pow.f64 (sin.f64 k) 2))))
	35.9b	(/.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)))
	32.4b	(.f64 2 (.f64 (/.f64 (.f64 l (sqrt.f64 (cos.f64 k))) (.f64 k k)) (/.f64 (.f64 l (sqrt.f64 (cos.f64 k))) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	36.0b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) k) (pow.f64 (/.f64 l (*.f64 (sin.f64 k) (sqrt.f64 t))) 2)) k))
	12.9b	(.f64 2 (/.f64 l (.f64 (/.f64 (*.f64 k k) (cos.f64 k)) (/.f64 t (/.f64 l (pow.f64 (sin.f64 k) 2))))))
	26.8b	(.f64 2 (.f64 (/.f64 l t) (-.f64 (/.f64 l (pow.f64 k 4)) (*.f64 (/.f64 l k) (/.f64 1/6 k)))))
	51.1b	(pow.f64 (/.f64 (sqrt.f64 2) (.f64 (/.f64 k t) (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))))) 2)
	21.8b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (.f64 (pow.f64 (cbrt.f64 (sin.f64 k)) 2) (.f64 (cbrt.f64 (sin.f64 k)) (sin.f64 k)))))))
	39.2b	(.f64 2 (.f64 (/.f64 (cos.f64 k) (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t)))) (/.f64 (.f64 l l) (.f64 k (*.f64 (sin.f64 k) (sqrt.f64 t))))))
	12.9b	(.f64 2 (/.f64 (.f64 (cos.f64 k) l) (.f64 (.f64 k k) (/.f64 t (/.f64 l (pow.f64 (sin.f64 k) 2))))))
	42.9b	(.f64 2 (pow.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 k)) k) (/.f64 l (*.f64 (sin.f64 k) (sqrt.f64 t)))) 2))
	38.3b	(.f64 2 (/.f64 (pow.f64 (/.f64 l (.f64 (sin.f64 k) (sqrt.f64 t))) 2) (/.f64 (*.f64 k k) (cos.f64 k))))
	30.5b	(/.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)))
	11.6b	(.f64 2 (/.f64 (.f64 l (/.f64 (cos.f64 k) (*.f64 k k))) (/.f64 t (/.f64 l (pow.f64 (sin.f64 k) 2)))))
	20.6b	(.f64 2 (.f64 (/.f64 (cos.f64 k) (.f64 (.f64 k k) t)) (/.f64 (*.f64 l l) (pow.f64 (sin.f64 k) 2))))
	17.1b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) k) (.f64 l l)) (.f64 k (*.f64 t (pow.f64 (sin.f64 k) 2)))))
▶	4.6b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) k) l) (*.f64 k (/.f64 t (/.f64 l (pow.f64 (sin.f64 k) 2))))))
	44.2b	(.f64 2 (.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 l (sqrt.f64 (cos.f64 k))) (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t)))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 l (sqrt.f64 (cos.f64 k))) (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t)))) 2)) 2)))

Compiler

Compiled 5713 to 2725 computations (52.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 t (/.f64 l (pow.f64 (sin.f64 k) 2)))
	0.4b	(pow.f64 (sin.f64 k) 2)
✓	1.4b	(/.f64 l (pow.f64 (sin.f64 k) 2))
✓	3.2b	(*.f64 k (/.f64 t (/.f64 l (pow.f64 (sin.f64 k) 2))))

series120.0ms (0.5%)

Counts

3 → 76

Calls

3 calls:

45.0ms	(/.f64 l (pow.f64 (sin.f64 k) 2))
41.0ms	(*.f64 k (/.f64 t (/.f64 l (pow.f64 (sin.f64 k) 2))))
34.0ms	(/.f64 t (/.f64 l (pow.f64 (sin.f64 k) 2)))

rewrite98.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

580×	`log-prod_binary64`
332×	`prod-diff_binary64`
190×	`expm1-udef_binary64`
190×	`log1p-udef_binary64`
173×	`log-pow_binary64`

Counts

3 → 113

Calls

3 calls:

95.0ms	(/.f64 t (/.f64 l (pow.f64 (sin.f64 k) 2)))
95.0ms	(/.f64 l (pow.f64 (sin.f64 k) 2))
95.0ms	(*.f64 k (/.f64 t (/.f64 l (pow.f64 (sin.f64 k) 2))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	215	36
2	2737	36
3	4972	36
4	5571	36

simplify106.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

790×	`fma-neg_binary64`
683×	`associate-/l*_binary64`
568×	`fma-def_binary64`
394×	`associate-/r/_binary64`
250×	`cancel-sign-sub-inv_binary64`

Counts

189 → 138

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	75	1186
1	211	1182
2	577	1166
3	1745	1157
4	4912	1155
5	5452	1155

prune292.0ms (1.1%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	159	8	167
Fresh	9	9	18
Picked	1	0	1
Done	0	0	0
Total	169	17	186

Error

0.0b

Counts

186 → 17

Alt Table

Status	Error	Program
	36.0b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) k) (pow.f64 (/.f64 l (*.f64 (sin.f64 k) (sqrt.f64 t))) 2)) k))
	12.9b	(.f64 2 (/.f64 l (.f64 (/.f64 (*.f64 k k) (cos.f64 k)) (/.f64 t (/.f64 l (pow.f64 (sin.f64 k) 2))))))
	26.8b	(.f64 2 (.f64 (/.f64 l t) (-.f64 (/.f64 l (pow.f64 k 4)) (*.f64 (/.f64 l k) (/.f64 1/6 k)))))
	18.1b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) k) l) (.f64 k (/.f64 t (/.f64 l (-.f64 1/2 (.f64 1/2 (cos.f64 (+.f64 k k)))))))))
	43.6b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) k) l) (.f64 k (.f64 t (-.f64 (*.f64 (/.f64 k l) k) (/.f64 1/3 (/.f64 l (pow.f64 k 4))))))))
	3.7b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) k) l) (.f64 k (/.f64 t (.f64 (/.f64 (pow.f64 (cbrt.f64 l) 2) (sin.f64 k)) (/.f64 (cbrt.f64 l) (sin.f64 k)))))))
	6.1b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) k) l) (.f64 k (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) l))))
	51.1b	(pow.f64 (/.f64 (sqrt.f64 2) (.f64 (/.f64 k t) (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))))) 2)
	39.2b	(.f64 2 (.f64 (/.f64 (cos.f64 k) (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t)))) (/.f64 (.f64 l l) (.f64 k (*.f64 (sin.f64 k) (sqrt.f64 t))))))
	4.6b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) k) l) (*.f64 k (/.f64 t (/.f64 l (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 k) 2))))))))
	42.9b	(.f64 2 (pow.f64 (.f64 (/.f64 (sqrt.f64 (cos.f64 k)) k) (/.f64 l (*.f64 (sin.f64 k) (sqrt.f64 t)))) 2))
	17.6b	(.f64 2 (/.f64 (/.f64 (cos.f64 k) k) (.f64 (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 l l)) k)))
	35.9b	(/.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)))
	5.8b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) k) l) (/.f64 (/.f64 (*.f64 k t) l) (pow.f64 (sin.f64 k) -2))))
	5.6b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) k) l) (/.f64 1 (/.f64 (/.f64 l (pow.f64 (sin.f64 k) 2)) (*.f64 k t)))))
	11.6b	(.f64 2 (/.f64 (.f64 l (/.f64 (cos.f64 k) (*.f64 k k))) (/.f64 t (/.f64 l (pow.f64 (sin.f64 k) 2)))))
	8.0b	(.f64 2 (/.f64 (.f64 (/.f64 (cos.f64 k) k) l) (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) l)))

Compiler

Compiled 4510 to 2233 computations (50.5% saved)

regimes1.7s (6.4%)

Accuracy

Total 1.5b remaining (92%)

Threshold costs 0b (0%)

Counts

166 → 3

Compiler

Compiled 25812 to 18040 computations (30.1% saved)

bsearch450.0ms (1.7%)

Steps

Iters	Range		Point
4	4.544014696664804e+60	1.5728271849071938e+66	5.903013830898229e+63
8	-4.565398514696901e+63	-1.5229229962182168e+61	-1.1128609500028873e+63

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	109
1	38	109
2	37	109

end264.0ms (1%)

Compiler: Compiled 552 to 349 computations (36.8% saved)

Details

analyze3.4s (13%)

sample17.5s (67.2%)

simplify34.0ms (0.1%)

prune4.0ms (0%)

localize17.0ms (0.1%)

series454.0ms (1.7%)

rewrite91.0ms (0.4%)

simplify73.0ms (0.3%)

prune169.0ms (0.6%)

localize13.0ms (0.1%)

series195.0ms (0.7%)

rewrite77.0ms (0.3%)

simplify58.0ms (0.2%)

prune202.0ms (0.8%)

localize15.0ms (0.1%)

series247.0ms (0.9%)

rewrite86.0ms (0.3%)

simplify76.0ms (0.3%)

prune340.0ms (1.3%)

localize15.0ms (0.1%)

series120.0ms (0.5%)

rewrite98.0ms (0.4%)

simplify106.0ms (0.4%)

prune292.0ms (1.1%)

regimes1.7s (6.4%)

bsearch450.0ms (1.7%)

simplify3.0ms (0%)

end264.0ms (1%)

Profiling