Details

analyze3.4s (12.6%)

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)

sample17.6s (64.9%)

Alt Table

Status	Error	Program
▶	47.3b	(/.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)))

Results

4.9s	1253×	body	4096	invalid
3.9s	3894×	body	1024	valid
2.8s	1146×	body	2048	invalid
1.6s	1078×	body	2048	valid
1.3s	488×	body	4096	valid
976.0ms	1419×	body	512	valid
690.0ms	699×	body	1024	invalid
320.0ms	500×	body	512	invalid
309.0ms	481×	body	256	valid
272.0ms	1102×	body	128	invalid
233.0ms	896×	body	128	valid
132.0ms	306×	body	256	invalid

Compiler

Compiled 142 to 107 computations (24.6% 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))
✓	1.8b	(-.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)
✓	17.2b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	31.4b	(.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))

series348.0ms (1.3%)

Counts

4 → 120

Calls

4 calls:

129.0ms	(.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))
120.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
64.0ms	(-.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)
34.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite98.0ms (0.4%)

Algorithm

2×	batch-egg-rewrite

Rules

442×	`prod-diff_binary64`
193×	`add-sqr-sqrt_binary64`
193×	`log1p-expm1-u_binary64`
193×	`expm1-log1p-u_binary64`
183×	`add-log-exp_binary64`

Counts

4 → 141

Calls

4 calls:

93.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
93.0ms	(-.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)
93.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))
93.0ms	(.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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	78
1	418	65
2	4754	65
3	5621	65
0	0	0
1	0	0

prune256.0ms (0.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	250	11	261
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	251	11	262

Error

15.2b

Counts

262 → 11

Alt Table

Status	Error	Program
	43.0b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t l) (/.f64 (*.f64 t t) l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	31.0b	(/.f64 2 (/.f64 (*.f64 (pow.f64 k 4) t) (pow.f64 l 2)))
	45.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) l) (/.f64 1 l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
▶	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))))
	45.8b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (.f64 (.f64 k k) (pow.f64 (/.f64 1 t) 2))))
	51.6b	(/.f64 2 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 k t) (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (*.f64 (sin.f64 k) (tan.f64 k))))) 2)) 3))
	59.0b	(/.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 3) 1) (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 2) (+.f64 1 (+.f64 1 (pow.f64 (/.f64 k t) 2))))))
	51.6b	(/.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))
	40.3b	(/.f64 2 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 3) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	48.7b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t (cbrt.f64 (pow.f64 l 4))) (/.f64 (*.f64 t t) (pow.f64 (cbrt.f64 l) 2))) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	40.3b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (*.f64 (sin.f64 k) (tan.f64 k)))) 3) (-.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))

Compiler

Compiled 7595 to 4636 computations (39% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
✓	1.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	5.0b	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	20.0b	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))

series451.0ms (1.7%)

Counts

4 → 48

Calls

4 calls:

222.0ms	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
181.0ms	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))
31.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
16.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

rewrite86.0ms (0.3%)

Algorithm

2×	batch-egg-rewrite

Rules

275×	`expm1-udef_binary64`
275×	`log1p-udef_binary64`
157×	`add-sqr-sqrt_binary64`
150×	`log1p-expm1-u_binary64`
150×	`expm1-log1p-u_binary64`

Counts

4 → 122

Calls

4 calls:

82.0ms	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
82.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
82.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
82.0ms	(/.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: 0 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	324	74
2	4172	74
3	5195	74
0	0	0
1	0	0

prune229.0ms (0.8%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	151	19	170
Fresh	6	4	10
Picked	1	0	1
Done	0	0	0
Total	158	23	181

Error

6.7b

Counts

181 → 23

Alt Table

Status	Error	Program
	46.5b	(pow.f64 (/.f64 (sqrt.f64 2) (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k))))) 2)
	46.6b	(/.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))
	46.6b	(pow.f64 (cbrt.f64 (/.f64 2 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2))) 3)
	34.2b	(/.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))))))
	43.6b	(.f64 (.f64 (/.f64 2 (pow.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) 2)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 k) (.f64 l l))) 2)) (cbrt.f64 (.f64 (cos.f64 k) (.f64 l l))))
	20.7b	(/.f64 2 (.f64 (/.f64 (.f64 (.f64 k k) t) (.f64 l l)) (/.f64 (pow.f64 (sin.f64 k) 2) (cos.f64 k))))
	50.6b	(/.f64 2 (.f64 (/.f64 1 (.f64 l (sqrt.f64 (cos.f64 k)))) (/.f64 (pow.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) 2) (*.f64 l (sqrt.f64 (cos.f64 k))))))
	46.5b	(/.f64 2 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2))
	59.0b	(/.f64 2 (/.f64 (.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 3) 1) (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k))) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 2) (+.f64 1 (+.f64 1 (pow.f64 (/.f64 k t) 2))))))
	20.0b	(.f64 (/.f64 2 (.f64 k k)) (/.f64 (cos.f64 k) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 l l))))
	22.5b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	19.8b	(/.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))))))
	40.3b	(/.f64 2 (.f64 (.f64 (*.f64 (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 3) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	43.5b	(.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 2 (pow.f64 (.f64 k (*.f64 (sin.f64 k) (sqrt.f64 t))) 2)))
	43.0b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t l) (/.f64 (*.f64 t t) l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
	31.9b	(/.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))))))
	45.8b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) l) (/.f64 1 l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 1 (pow.f64 (/.f64 k t) 2)) 1)))
▶	19.7b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (.f64 l l)) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
	47.4b	(/.f64 2 (exp.f64 (log.f64 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2))))
	41.3b	(/.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))))
	31.0b	(.f64 2 (/.f64 (pow.f64 l 2) (.f64 (pow.f64 k 4) t)))
	19.8b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (.f64 (cos.f64 k) (.f64 l l))) (*.f64 t (pow.f64 (sin.f64 k) 2))))
	19.7b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (pow.f64 (cbrt.f64 (.f64 (cos.f64 k) (.f64 l l))) 2)) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cbrt.f64 (.f64 (cos.f64 k) (*.f64 l l))))))

Compiler

Compiled 5014 to 2640 computations (47.3% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (.f64 l l)) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
✓	1.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	5.3b	(.f64 (/.f64 (.f64 k k) (.f64 l l)) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)))
✓	16.1b	(/.f64 (.f64 k k) (.f64 l l))

series470.0ms (1.7%)

Counts

4 → 100

Calls

4 calls:

223.0ms	(/.f64 2 (.f64 (/.f64 (.f64 k k) (.f64 l l)) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
199.0ms	(.f64 (/.f64 (.f64 k k) (.f64 l l)) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)))
32.0ms	(/.f64 (.f64 k k) (.f64 l l))
16.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

rewrite97.0ms (0.4%)

Algorithm

2×	batch-egg-rewrite

Rules

289×	`log1p-udef_binary64`
164×	`add-sqr-sqrt_binary64`
163×	`egg-rr`
155×	`log1p-expm1-u_binary64`
155×	`expm1-log1p-u_binary64`

Counts

4 → 163

Calls

4 calls:

91.0ms	(/.f64 2 (.f64 (/.f64 (.f64 k k) (.f64 l l)) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
91.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
91.0ms	(.f64 (/.f64 (.f64 k k) (.f64 l l)) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)))
91.0ms	(/.f64 (.f64 k k) (.f64 l l))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	332	65
2	4541	65
3	5309	65
0	0	0
1	0	0

prune456.0ms (1.7%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	250	13	263
Fresh	15	7	22
Picked	1	0	1
Done	0	0	0
Total	266	20	286

Error

0.9b

Counts

286 → 20

Alt Table

Status	Error	Program
	8.0b	(/.f64 2 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 k l) 2)) 3) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
	27.1b	(sqrt.f64 (/.f64 4 (pow.f64 (.f64 (pow.f64 (/.f64 k l) 2) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))) 2)))
	8.3b	(/.f64 2 (/.f64 (*.f64 t (pow.f64 (/.f64 k l) 2)) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2))))
	46.6b	(/.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))
	11.8b	(/.f64 2 (/.f64 (.f64 (/.f64 (.f64 k k) l) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 l (cos.f64 k))))
	18.0b	(/.f64 2 (.f64 (.f64 k (.f64 k (pow.f64 l -2))) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
	46.6b	(pow.f64 (cbrt.f64 (/.f64 2 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2))) 3)
	34.2b	(/.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))))))
	12.3b	(/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (/.f64 l (/.f64 k l)) (cos.f64 k))))
▶	7.7b	(/.f64 2 (.f64 (pow.f64 (/.f64 k l) 2) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
	11.3b	(/.f64 2 (/.f64 (.f64 k t) (.f64 (/.f64 l (/.f64 k l)) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)))))
	41.3b	(/.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))))
	10.9b	(/.f64 2 (/.f64 (/.f64 (.f64 k k) l) (.f64 (/.f64 (cos.f64 k) (*.f64 t (pow.f64 (sin.f64 k) 2))) l)))
	20.0b	(.f64 (/.f64 2 (.f64 k k)) (/.f64 (cos.f64 k) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 l l))))
	10.0b	(/.f64 2 (/.f64 (.f64 (/.f64 (.f64 k k) l) t) (*.f64 l (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)))))
	46.5b	(/.f64 2 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2))
	7.8b	(.f64 (/.f64 (/.f64 2 (pow.f64 (/.f64 k l) 2)) (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))
	45.7b	(pow.f64 (/.f64 (sqrt.f64 2) (.f64 (/.f64 k l) (/.f64 (.f64 (sin.f64 k) (sqrt.f64 t)) (sqrt.f64 (cos.f64 k))))) 2)
	8.0b	(.f64 (/.f64 2 (pow.f64 (/.f64 k l) 2)) (/.f64 (cos.f64 k) (.f64 t (pow.f64 (sin.f64 k) 2))))
	19.7b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (pow.f64 (cbrt.f64 (.f64 (cos.f64 k) (.f64 l l))) 2)) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cbrt.f64 (.f64 (cos.f64 k) (*.f64 l l))))))

Compiler

Compiled 6293 to 3618 computations (42.5% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (sin.f64 k) 2)
✓	0.5b	(/.f64 2 (.f64 (pow.f64 (/.f64 k l) 2) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
✓	1.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	5.3b	(.f64 (pow.f64 (/.f64 k l) 2) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)))

series387.0ms (1.4%)

Counts

4 → 80

Calls

4 calls:

225.0ms	(/.f64 2 (.f64 (pow.f64 (/.f64 k l) 2) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
143.0ms	(.f64 (pow.f64 (/.f64 k l) 2) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)))
15.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
3.0ms	(pow.f64 (sin.f64 k) 2)

rewrite106.0ms (0.4%)

Algorithm

2×	batch-egg-rewrite

Rules

267×	`expm1-udef_binary64`
267×	`log1p-udef_binary64`
150×	`add-sqr-sqrt_binary64`
142×	`log1p-expm1-u_binary64`
142×	`expm1-log1p-u_binary64`

Counts

4 → 89

Calls

4 calls:

103.0ms	(pow.f64 (sin.f64 k) 2)
103.0ms	(/.f64 2 (.f64 (pow.f64 (/.f64 k l) 2) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
103.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
103.0ms	(.f64 (pow.f64 (/.f64 k l) 2) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	64
1	304	64
2	3863	64
3	4986	64
4	4962	64
0	0	0
1	0	0

prune202.0ms (0.7%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	167	2	169
Fresh	3	16	19
Picked	0	1	1
Done	0	0	0
Total	170	19	189

Error

0.9b

Counts

189 → 19

Alt Table

Status	Error	Program
	8.3b	(/.f64 2 (/.f64 (*.f64 t (pow.f64 (/.f64 k l) 2)) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2))))
	46.6b	(/.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))
	11.8b	(/.f64 2 (/.f64 (.f64 (/.f64 (.f64 k k) l) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 l (cos.f64 k))))
	18.0b	(/.f64 2 (.f64 (.f64 k (.f64 k (pow.f64 l -2))) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
	46.6b	(pow.f64 (cbrt.f64 (/.f64 2 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2))) 3)
	34.2b	(/.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))))))
	12.3b	(/.f64 2 (/.f64 (.f64 k (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (/.f64 l (/.f64 k l)) (cos.f64 k))))
✓	7.7b	(/.f64 2 (.f64 (pow.f64 (/.f64 k l) 2) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
	19.1b	(/.f64 2 (.f64 (pow.f64 (/.f64 k l) 2) (/.f64 (.f64 t (-.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 k))))) (cos.f64 k))))
	11.3b	(/.f64 2 (/.f64 (.f64 k t) (.f64 (/.f64 l (/.f64 k l)) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)))))
	7.6b	(.f64 (/.f64 (/.f64 (cos.f64 k) (.f64 t (pow.f64 (sin.f64 k) 2))) (pow.f64 (/.f64 k l) 2)) 2)
	41.3b	(/.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))))
	8.0b	(/.f64 2 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 k l) 2)) 3) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cos.f64 k))))
	10.0b	(/.f64 2 (/.f64 (.f64 (/.f64 (.f64 k k) l) t) (*.f64 l (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)))))
	46.5b	(/.f64 2 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2))
	10.9b	(/.f64 2 (/.f64 (/.f64 (.f64 k k) l) (.f64 (/.f64 (cos.f64 k) (*.f64 t (pow.f64 (sin.f64 k) 2))) l)))
	7.8b	(.f64 (/.f64 (/.f64 2 (pow.f64 (/.f64 k l) 2)) (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))
	45.7b	(pow.f64 (/.f64 (sqrt.f64 2) (.f64 (/.f64 k l) (/.f64 (.f64 (sin.f64 k) (sqrt.f64 t)) (sqrt.f64 (cos.f64 k))))) 2)
	19.7b	(/.f64 2 (.f64 (/.f64 (.f64 k k) (pow.f64 (cbrt.f64 (.f64 (cos.f64 k) (.f64 l l))) 2)) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (cbrt.f64 (.f64 (cos.f64 k) (*.f64 l l))))))

Compiler

Compiled 3905 to 2403 computations (38.5% saved)

regimes1.5s (5.7%)

Accuracy

Total 4.0b remaining (73.6%)

Threshold costs 0b (0%)

Counts

136 → 5

Compiler

Compiled 22312 to 15939 computations (28.6% saved)

bsearch996.0ms (3.7%)

Steps

Iters	Range		Point
7	3.210652939456229e+158	1.7222359415129368e+160	3.260109002841418e+158
6	4.3578148870957664e-154	5.421557132647243e-153	4.443471164367087e-154
6	-4.948268562972255e-151	-4.028152356331172e-152	-4.134505440007014e-152
6	-1.3164281783256278e+81	-2.6493321763581816e+80	-1.2996013588112017e+81

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	165
1	53	165
2	53	165

end311.0ms (1.2%)

Compiler: Compiled 655 to 430 computations (34.4% saved)

Details

analyze3.4s (12.6%)

sample17.6s (64.9%)

localize17.0ms (0.1%)

series348.0ms (1.3%)

rewrite98.0ms (0.4%)

prune256.0ms (0.9%)

localize14.0ms (0.1%)

series451.0ms (1.7%)

rewrite86.0ms (0.3%)

prune229.0ms (0.8%)

localize16.0ms (0.1%)

series470.0ms (1.7%)

rewrite97.0ms (0.4%)

prune456.0ms (1.7%)

localize12.0ms (0%)

series387.0ms (1.4%)

rewrite106.0ms (0.4%)

prune202.0ms (0.7%)

regimes1.5s (5.7%)

bsearch996.0ms (3.7%)

simplify4.0ms (0%)

end311.0ms (1.2%)

Profiling