Details

analyze3.4s (14.1%)

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)

sample16.5s (67.7%)

Results

4.5s	1160×	body	4096	invalid
3.8s	3974×	body	1024	valid
2.6s	1102×	body	2048	invalid
1.5s	1072×	body	2048	valid
1.4s	507×	body	4096	valid
890.0ms	1373×	body	512	valid
636.0ms	718×	body	1024	invalid
310.0ms	481×	body	512	invalid
276.0ms	1115×	body	128	invalid
223.0ms	497×	body	256	valid
215.0ms	833×	body	128	valid
132.0ms	316×	body	256	invalid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify14.0ms (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

38.5b

Counts

3 → 2

Alt Table

Status	Error	Program
	49.5b	(/.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)))
▶	39.2b	(.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

49.5b

(/.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)))

▶

39.2b

(*.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
✓	0.9b	(/.f64 2 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2))))
✓	1.5b	(*.f64 (pow.f64 t 3) (sin.f64 k))
✓	21.8b	(.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))
✓	28.1b	(.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))

series390.0ms (1.6%)

Counts

4 → 88

Calls

4 calls:

197.0ms	(.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))
137.0ms	(/.f64 2 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2))))
42.0ms	(.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))
14.0ms	(*.f64 (pow.f64 t 3) (sin.f64 k))

rewrite68.0ms (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

Calls

4 calls:

67.0ms	(/.f64 2 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2))))
67.0ms	(*.f64 (pow.f64 t 3) (sin.f64 k))
67.0ms	(.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))
67.0ms	(.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (*.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))

simplify45.0ms (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

prune147.0ms (0.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	108	13	121
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	110	13	123

Error

6.6b

Counts

123 → 13

Alt Table

Status	Error	Program
	47.9b	(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)
▶	7.9b	(.f64 2 (.f64 (.f64 (/.f64 l k) (/.f64 l (.f64 k t))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2))))
	38.7b	(/.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))
	25.3b	(.f64 (.f64 2 (/.f64 (cos.f64 k) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))))) (*.f64 l l))
	39.0b	(/.f64 (/.f64 (.f64 2 (.f64 l l)) (.f64 (pow.f64 t 3) (sin.f64 k))) (.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))
	31.5b	(.f64 (/.f64 l (/.f64 t l)) (-.f64 (/.f64 2 (pow.f64 k 4)) (/.f64 1/3 (.f64 k k))))
	24.8b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	32.8b	(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)
	49.2b	(/.f64 (/.f64 (.f64 2 (.f64 l l)) (.f64 (sqrt.f64 (.f64 (pow.f64 t 3) (.f64 (sin.f64 k) (tan.f64 k)))) (/.f64 k t))) (.f64 (sqrt.f64 (.f64 (pow.f64 t 3) (.f64 (sin.f64 k) (tan.f64 k)))) (/.f64 k t)))
	43.5b	(+.f64 (.f64 (.f64 (/.f64 l k) (/.f64 l (.f64 k t))) -1/3) (.f64 (/.f64 l (/.f64 t l)) (-.f64 (/.f64 2 (pow.f64 k 4)) 7/60)))
	25.3b	(.f64 (/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (cos.f64 k))) (.f64 l l))
	39.4b	(/.f64 2 (/.f64 (.f64 (pow.f64 t 3) (.f64 (sin.f64 k) (.f64 (tan.f64 k) (pow.f64 (/.f64 k t) 2)))) (.f64 l l)))
	35.4b	(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)))))

Compiler

Compiled 3587 to 2086 computations (41.8% saved)

localize13.0ms (0.1%)

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)
✓	4.2b	(.f64 (.f64 (/.f64 l k) (/.f64 l (*.f64 k t))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)))
✓	4.9b	(/.f64 l (*.f64 k t))

series187.0ms (0.8%)

Counts

4 → 44

Calls

4 calls:

149.0ms	(.f64 (.f64 (/.f64 l k) (/.f64 l (*.f64 k t))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2)))
17.0ms	(/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2))
16.0ms	(/.f64 l (*.f64 k t))
5.0ms	(pow.f64 (sin.f64 k) 2)

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

Calls

4 calls:

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

simplify43.0ms (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

prune317.0ms (1.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	168	13	181
Fresh	11	1	12
Picked	0	1	1
Done	0	0	0
Total	179	15	194

Error

0.3b

Counts

194 → 15

Alt Table

Status	Error	Program
✓	7.9b	(.f64 2 (.f64 (.f64 (/.f64 l k) (/.f64 l (.f64 k t))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2))))
	10.0b	(.f64 2 (/.f64 (.f64 (/.f64 (pow.f64 (/.f64 l k) 2) t) (cos.f64 k)) (pow.f64 (sin.f64 k) 2)))
	4.9b	(.f64 2 (.f64 (.f64 (/.f64 l k) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (/.f64 l k) (cbrt.f64 t)))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2))))
	12.8b	(.f64 2 (/.f64 (.f64 (.f64 l (/.f64 l k)) (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2))) (*.f64 k t)))
	22.8b	(.f64 2 (pow.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 (pow.f64 (/.f64 l k) 2) t) (cos.f64 k))) (sin.f64 k)) 2))
	8.2b	(.f64 2 (/.f64 (/.f64 (.f64 (/.f64 (pow.f64 (/.f64 l k) 2) t) (cos.f64 k)) (sin.f64 k)) (sin.f64 k)))
	13.3b	(.f64 2 (/.f64 (.f64 l (/.f64 l k)) (.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (cos.f64 k)) (.f64 k t))))
	4.9b	(.f64 2 (.f64 (.f64 (/.f64 l k) (.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 l k)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (/.f64 l k) t)))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2))))
	10.1b	(.f64 2 (/.f64 (.f64 l (/.f64 (/.f64 l k) t)) (*.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (cos.f64 k)) k)))
	33.6b	(.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))))
	25.3b	(.f64 (.f64 2 (/.f64 (cos.f64 k) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))))) (*.f64 l l))
	6.7b	(.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))))
	7.1b	(.f64 2 (/.f64 (.f64 l (.f64 (/.f64 (/.f64 l k) t) (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2)))) k))
	9.9b	(.f64 2 (/.f64 (.f64 (.f64 l (/.f64 (/.f64 l k) t)) (cos.f64 k)) (.f64 k (pow.f64 (sin.f64 k) 2))))
▶	3.2b	(.f64 2 (/.f64 (.f64 (/.f64 (/.f64 l k) t) (*.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2))) (/.f64 k l)))

Compiler

Compiled 4836 to 2338 computations (51.7% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (sin.f64 k) -2)
✓	0.7b	(/.f64 (.f64 (/.f64 (/.f64 l k) t) (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2))) (/.f64 k l))
✓	2.4b	(/.f64 (/.f64 l k) t)
✓	2.7b	(.f64 (/.f64 (/.f64 l k) t) (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2)))

series277.0ms (1.1%)

Counts

4 → 120

Calls

4 calls:

144.0ms	(/.f64 (.f64 (/.f64 (/.f64 l k) t) (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2))) (/.f64 k l))
108.0ms	(.f64 (/.f64 (/.f64 l k) t) (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2)))
18.0ms	(/.f64 (/.f64 l k) t)
7.0ms	(pow.f64 (sin.f64 k) -2)

rewrite80.0ms (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

Calls

4 calls:

75.0ms	(pow.f64 (sin.f64 k) -2)
75.0ms	(/.f64 (.f64 (/.f64 (/.f64 l k) t) (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2))) (/.f64 k l))
75.0ms	(/.f64 (/.f64 l k) t)
75.0ms	(.f64 (/.f64 (/.f64 l k) t) (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2)))

simplify56.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

619×	`fma-def_binary64`
613×	`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	2722	2076

Stop Event

1×	node limit

Counts

267 → 178

prune319.0ms (1.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	172	6	178
Fresh	5	8	13
Picked	1	0	1
Done	0	1	1
Total	178	15	193

Error

0.3b

Counts

193 → 15

Alt Table

Status	Error	Program
✓	7.9b	(.f64 2 (.f64 (.f64 (/.f64 l k) (/.f64 l (.f64 k t))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2))))
	4.9b	(.f64 2 (.f64 (.f64 (/.f64 l k) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (/.f64 l k) (cbrt.f64 t)))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2))))
	12.8b	(.f64 2 (/.f64 (.f64 (.f64 l (/.f64 l k)) (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2))) (*.f64 k t)))
	7.0b	(.f64 2 (.f64 (/.f64 l (*.f64 k t)) (/.f64 1 (/.f64 (/.f64 (/.f64 k l) (pow.f64 (sin.f64 k) -2)) (cos.f64 k)))))
	6.7b	(.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))))
	22.8b	(.f64 2 (pow.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 (pow.f64 (/.f64 l k) 2) t) (cos.f64 k))) (sin.f64 k)) 2))
	8.2b	(.f64 2 (/.f64 (/.f64 (.f64 (/.f64 (pow.f64 (/.f64 l k) 2) t) (cos.f64 k)) (sin.f64 k)) (sin.f64 k)))
	8.0b	(.f64 2 (/.f64 (.f64 (/.f64 (/.f64 l k) t) (*.f64 (cos.f64 k) (sqrt.f64 (pow.f64 (sin.f64 k) -4)))) (/.f64 k l)))
	7.0b	(.f64 2 (/.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 l (.f64 k t)) (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2)))) 3) (/.f64 k l)))
	6.7b	(.f64 2 (.f64 (.f64 (/.f64 l (.f64 k t)) (*.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2))) (/.f64 l k)))
	25.3b	(.f64 (.f64 2 (/.f64 (cos.f64 k) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))))) (*.f64 l l))
	6.3b	(.f64 2 (/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2)) l) (.f64 k t)) (/.f64 k l)))
	9.9b	(.f64 2 (/.f64 (.f64 (.f64 l (/.f64 (/.f64 l k) t)) (cos.f64 k)) (.f64 k (pow.f64 (sin.f64 k) 2))))
▶	4.4b	(.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))
	13.3b	(.f64 2 (/.f64 (.f64 l (/.f64 l k)) (.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (cos.f64 k)) (.f64 k t))))

Compiler

Compiled 4963 to 2380 computations (52% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(pow.f64 (.f64 (.f64 t (/.f64 k l)) (/.f64 (/.f64 (/.f64 k l) (pow.f64 (sin.f64 k) -2)) (cos.f64 k))) -1)
✓	1.4b	(/.f64 (/.f64 k l) (pow.f64 (sin.f64 k) -2))
✓	2.6b	(.f64 (.f64 t (/.f64 k l)) (/.f64 (/.f64 (/.f64 k l) (pow.f64 (sin.f64 k) -2)) (cos.f64 k)))
✓	2.7b	(*.f64 t (/.f64 k l))

series377.0ms (1.5%)

Counts

4 → 132

Calls

4 calls:

234.0ms	(pow.f64 (.f64 (.f64 t (/.f64 k l)) (/.f64 (/.f64 (/.f64 k l) (pow.f64 (sin.f64 k) -2)) (cos.f64 k))) -1)
109.0ms	(.f64 (.f64 t (/.f64 k l)) (/.f64 (/.f64 (/.f64 k l) (pow.f64 (sin.f64 k) -2)) (cos.f64 k)))
20.0ms	(/.f64 (/.f64 k l) (pow.f64 (sin.f64 k) -2))
13.0ms	(*.f64 t (/.f64 k l))

rewrite72.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

293×	`log1p-udef_binary64`
166×	`add-sqr-sqrt_binary64`
157×	`log1p-expm1-u_binary64`
157×	`expm1-log1p-u_binary64`
154×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	333	68
2	4776	68

Stop Event

1×	node limit

Counts

4 → 128

Calls

4 calls:

70.0ms	(pow.f64 (.f64 (.f64 t (/.f64 k l)) (/.f64 (/.f64 (/.f64 k l) (pow.f64 (sin.f64 k) -2)) (cos.f64 k))) -1)
70.0ms	(/.f64 (/.f64 k l) (pow.f64 (sin.f64 k) -2))
70.0ms	(.f64 (.f64 t (/.f64 k l)) (/.f64 (/.f64 (/.f64 k l) (pow.f64 (sin.f64 k) -2)) (cos.f64 k)))
70.0ms	(*.f64 t (/.f64 k l))

simplify68.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

851×	`fma-def_binary64`
404×	`times-frac_binary64`
350×	`associate-/l*_binary64`
275×	`fma-neg_binary64`
223×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	2550
1	237	2544
2	764	2520
3	3655	2518

Stop Event

1×	node limit

Counts

260 → 158

prune263.0ms (1.1%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	2	11	13
Picked	0	1	1
Done	0	1	1
Total	159	14	173

Error

0.3b

Counts

173 → 14

Alt Table

Status	Error	Program
✓	7.9b	(.f64 2 (.f64 (.f64 (/.f64 l k) (/.f64 l (.f64 k t))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2))))
	4.9b	(.f64 2 (.f64 (.f64 (/.f64 l k) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (/.f64 l k) (cbrt.f64 t)))) (/.f64 (cos.f64 k) (pow.f64 (sin.f64 k) 2))))
	12.8b	(.f64 2 (/.f64 (.f64 (.f64 l (/.f64 l k)) (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2))) (*.f64 k t)))
	7.0b	(.f64 2 (.f64 (/.f64 l (*.f64 k t)) (/.f64 1 (/.f64 (/.f64 (/.f64 k l) (pow.f64 (sin.f64 k) -2)) (cos.f64 k)))))
	6.7b	(.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))))
	22.8b	(.f64 2 (pow.f64 (/.f64 (sqrt.f64 (.f64 (/.f64 (pow.f64 (/.f64 l k) 2) t) (cos.f64 k))) (sin.f64 k)) 2))
	8.2b	(.f64 2 (/.f64 (/.f64 (.f64 (/.f64 (pow.f64 (/.f64 l k) 2) t) (cos.f64 k)) (sin.f64 k)) (sin.f64 k)))
	8.0b	(.f64 2 (/.f64 (.f64 (/.f64 (/.f64 l k) t) (*.f64 (cos.f64 k) (sqrt.f64 (pow.f64 (sin.f64 k) -4)))) (/.f64 k l)))
	6.7b	(.f64 2 (.f64 (.f64 (/.f64 l (.f64 k t)) (*.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2))) (/.f64 l k)))
	25.3b	(.f64 (.f64 2 (/.f64 (cos.f64 k) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))))) (*.f64 l l))
	6.3b	(.f64 2 (/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (pow.f64 (sin.f64 k) -2)) l) (.f64 k t)) (/.f64 k l)))
	6.6b	(.f64 2 (pow.f64 (.f64 (.f64 t (/.f64 k l)) (/.f64 (/.f64 (.f64 k (pow.f64 (sin.f64 k) 2)) l) (cos.f64 k))) -1))
✓	4.4b	(.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))
	13.3b	(.f64 2 (/.f64 (.f64 l (/.f64 l k)) (.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (cos.f64 k)) (.f64 k t))))

Compiler

Compiled 4267 to 2331 computations (45.4% saved)

regimes881.0ms (3.6%)

Accuracy

Total 1.6b remaining (75.3%)

Threshold costs 0b (0%)

Counts

108 → 3

Compiler

Compiled 16319 to 11271 computations (30.9% saved)

bsearch461.0ms (1.9%)

Steps

Iters	Range		Point
7	1.048052037832759e-73	8.775940037510808e-72	1.0658959369000571e-73
5	-8.448050901778384e-144	-2.612708083505181e-144	-2.808363570812293e-144

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	100
1	44	100

Stop Event

1×

saturated

end247.0ms (1%)

Compiler: Compiled 463 to 300 computations (35.2% saved)

Details

analyze3.4s (14.1%)

sample16.5s (67.7%)

simplify14.0ms (0.1%)

prune5.0ms (0%)

localize14.0ms (0.1%)

series390.0ms (1.6%)

rewrite68.0ms (0.3%)

simplify45.0ms (0.2%)

prune147.0ms (0.6%)

localize13.0ms (0.1%)

series187.0ms (0.8%)

rewrite77.0ms (0.3%)

simplify43.0ms (0.2%)

prune317.0ms (1.3%)

localize17.0ms (0.1%)

series277.0ms (1.1%)

rewrite80.0ms (0.3%)

simplify56.0ms (0.2%)

prune319.0ms (1.3%)

localize15.0ms (0.1%)

series377.0ms (1.5%)

rewrite72.0ms (0.3%)

simplify68.0ms (0.3%)

prune263.0ms (1.1%)

regimes881.0ms (3.6%)

bsearch461.0ms (1.9%)

simplify3.0ms (0%)

end247.0ms (1%)

Profiling