Details

analyze3.3s (12.7%)

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)

sample16.3s (62.4%)

Results

4.5s	1244×	body	4096	invalid
3.7s	4008×	body	1024	valid
2.8s	1145×	body	2048	invalid
1.5s	1063×	body	2048	valid
1.2s	447×	body	4096	valid
909.0ms	1422×	body	512	valid
586.0ms	658×	body	1024	invalid
316.0ms	503×	body	512	invalid
271.0ms	1104×	body	128	invalid
204.0ms	871×	body	128	valid
195.0ms	445×	body	256	valid
123.0ms	296×	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

39.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	39.0b	(/.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)))

Compiler

Compiled 97 to 65 computations (33% saved)

localize16.0ms (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))
✓	1.4b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	13.8b	(/.f64 (pow.f64 t 3) (*.f64 l l))
✓	27.9b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))

series342.0ms (1.3%)

Counts

4 → 132

Calls

4 calls:

126.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (pow.f64 (/.f64 k t) 2))
115.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
68.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
33.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite88.0ms (0.3%)

Algorithm

2×	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 → 106

Calls

4 calls:

86.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
86.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
86.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))
86.0ms	(.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: 0 (0.0ms)

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

simplify63.0ms (0.2%)

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

238 → 138

Iterations

Useful iterations: 2 (0.0ms)

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

prune166.0ms (0.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	125	13	138
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	126	13	139

Error

16.4b

Counts

139 → 13

Alt Table

Status	Error	Program
	35.5b	(/.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)))
	49.5b	(/.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))
	29.5b	(/.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)))
▶	26.1b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	35.9b	(/.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)))
	30.1b	(/.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)))
	56.7b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) 2) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	29.3b	(/.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)))
	54.4b	(/.f64 2 (pow.f64 (pow.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) 1/3))
	49.5b	(/.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))
	47.4b	(/.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)))
	34.8b	(/.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)))
	34.0b	(/.f64 2 (/.f64 (*.f64 (pow.f64 k 4) t) (pow.f64 l 2)))

Compiler

Compiled 4181 to 2446 computations (41.5% 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))))
✓	0.9b	(*.f64 t (pow.f64 (sin.f64 k) 2))
✓	6.4b	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
✓	21.6b	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))

series376.0ms (1.4%)

Counts

4 → 48

Calls

4 calls:

205.0ms	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
131.0ms	(/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2)))
26.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
15.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))

rewrite89.0ms (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:

85.0ms	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
85.0ms	(*.f64 t (pow.f64 (sin.f64 k) 2))
85.0ms	(.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))
85.0ms	(/.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

simplify75.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

911×	`fma-neg_binary64`
432×	`times-frac_binary64`
292×	`fma-def_binary64`
273×	`associate-r_binary64`
271×	`associate-/l*_binary64`

Counts

170 → 155

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	1424
1	237	1404
2	836	1357
3	3754	1353
4	4881	1353
5	4986	1353

prune229.0ms (0.9%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	139	16	155
Fresh	5	7	12
Picked	1	0	1
Done	0	0	0
Total	145	23	168

Error

8.5b

Counts

168 → 23

Alt Table

Status	Error	Program
	29.3b	(/.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)))
	42.0b	(/.f64 2 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) 2)) 2) (cos.f64 k)) (/.f64 (cbrt.f64 (pow.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) 2)) (.f64 l l))))
	35.5b	(/.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)))
	49.5b	(/.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))
	51.0b	(cbrt.f64 (pow.f64 (/.f64 2 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2)) 3))
	35.3b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (cbrt.f64 (pow.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) 3))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	43.1b	(pow.f64 (/.f64 (sqrt.f64 2) (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k))))) 2)
	24.8b	(/.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))))))
	41.9b	(.f64 (.f64 (/.f64 2 (pow.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) 2)) (*.f64 l l)) (cos.f64 k))
	32.8b	(.f64 (/.f64 (.f64 l l) t) (+.f64 (/.f64 2 (pow.f64 k 4)) (/.f64 -1/3 (*.f64 k k))))
	34.8b	(/.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)))
	43.6b	(/.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))
	29.5b	(/.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)))
	25.4b	(.f64 (/.f64 2 (.f64 k k)) (/.f64 (cos.f64 k) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 l l))))
	33.1b	(/.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))))))
▶	24.5b	(/.f64 2 (.f64 (.f64 (.f64 k k) t) (.f64 (pow.f64 (sin.f64 k) 2) (/.f64 1 (.f64 (cos.f64 k) (.f64 l l))))))
	40.2b	(/.f64 2 (.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) 1) (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (.f64 (cos.f64 k) (*.f64 l l)))))
	56.7b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) 2) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	25.4b	(/.f64 2 (.f64 (.f64 k k) (/.f64 1 (/.f64 (cos.f64 k) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 l l))))))
	43.5b	(/.f64 2 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2))
	26.1b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	41.9b	(.f64 (/.f64 2 (/.f64 (pow.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) 2) (cos.f64 k))) (.f64 l l))
	30.1b	(/.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)))

Compiler

Compiled 4770 to 2485 computations (47.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 2 (.f64 (.f64 (.f64 k k) t) (.f64 (pow.f64 (sin.f64 k) 2) (/.f64 1 (.f64 (cos.f64 k) (.f64 l l))))))
✓	3.6b	(.f64 (pow.f64 (sin.f64 k) 2) (/.f64 1 (.f64 (cos.f64 k) (*.f64 l l))))
✓	6.7b	(.f64 (.f64 k k) t)
✓	17.8b	(.f64 (.f64 (.f64 k k) t) (.f64 (pow.f64 (sin.f64 k) 2) (/.f64 1 (.f64 (cos.f64 k) (.f64 l l)))))

series390.0ms (1.5%)

Counts

4 → 120

Calls

4 calls:

206.0ms	(/.f64 2 (.f64 (.f64 (.f64 k k) t) (.f64 (pow.f64 (sin.f64 k) 2) (/.f64 1 (.f64 (cos.f64 k) (.f64 l l))))))
125.0ms	(.f64 (.f64 (.f64 k k) t) (.f64 (pow.f64 (sin.f64 k) 2) (/.f64 1 (.f64 (cos.f64 k) (.f64 l l)))))
50.0ms	(.f64 (pow.f64 (sin.f64 k) 2) (/.f64 1 (.f64 (cos.f64 k) (*.f64 l l))))
8.0ms	(.f64 (.f64 k k) t)

rewrite81.0ms (0.3%)

Algorithm

2×	batch-egg-rewrite

Rules

293×	`expm1-udef_binary64`
293×	`log1p-udef_binary64`
170×	`add-sqr-sqrt_binary64`
160×	`log1p-expm1-u_binary64`
160×	`expm1-log1p-u_binary64`

Counts

4 → 89

Calls

4 calls:

79.0ms	(/.f64 2 (.f64 (.f64 (.f64 k k) t) (.f64 (pow.f64 (sin.f64 k) 2) (/.f64 1 (.f64 (cos.f64 k) (.f64 l l))))))
79.0ms	(.f64 (pow.f64 (sin.f64 k) 2) (/.f64 1 (.f64 (cos.f64 k) (*.f64 l l))))
79.0ms	(.f64 (.f64 k k) t)
79.0ms	(.f64 (.f64 (.f64 k k) t) (.f64 (pow.f64 (sin.f64 k) 2) (/.f64 1 (.f64 (cos.f64 k) (.f64 l l)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	79
1	357	74
2	4172	74
3	5088	74
0	0	0
1	0	0

simplify95.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

602×	`fma-neg_binary64`
500×	`times-frac_binary64`
356×	`associate-/l*_binary64`
298×	`associate-/r*_binary64`
262×	`cancel-sign-sub-inv_binary64`

Counts

209 → 121

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	2700
1	210	2694
2	726	2665
3	3432	2634
4	4688	2632
5	4973	2632

prune209.0ms (0.8%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	116	5	121
Fresh	2	20	22
Picked	0	1	1
Done	0	0	0
Total	118	26	144

Error

7.4b

Counts

144 → 26

Alt Table

Status	Error	Program
	29.3b	(/.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)))
	42.0b	(/.f64 2 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) 2)) 2) (cos.f64 k)) (/.f64 (cbrt.f64 (pow.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) 2)) (.f64 l l))))
▶	24.6b	(/.f64 2 (.f64 (.f64 (.f64 k k) t) (/.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (pow.f64 (cbrt.f64 (.f64 (cos.f64 k) (.f64 l l))) 2)) (cbrt.f64 (.f64 (cos.f64 k) (*.f64 l l))))))
	35.5b	(/.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)))
	49.5b	(/.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))
	29.9b	(/.f64 2 (.f64 (/.f64 t l) (+.f64 (/.f64 (pow.f64 k 4) l) (/.f64 (.f64 1/6 (pow.f64 k 6)) l))))
	51.0b	(cbrt.f64 (pow.f64 (/.f64 2 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2)) 3))
	35.3b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (cbrt.f64 (pow.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) 3))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	27.3b	(/.f64 2 (.f64 (.f64 (.f64 k k) t) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 k) 4)) (/.f64 (.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (cbrt.f64 (sin.f64 k)) 2)))))
	25.4b	(/.f64 2 (.f64 (.f64 k k) (/.f64 1 (/.f64 (cos.f64 k) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 l l))))))
	50.7b	(/.f64 2 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (.f64 k (sqrt.f64 t)) (/.f64 (sin.f64 k) (*.f64 l (sqrt.f64 (cos.f64 k))))) 2) 3)))
	41.9b	(.f64 (.f64 (/.f64 2 (pow.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) 2)) (*.f64 l l)) (cos.f64 k))
	34.8b	(/.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)))
	43.6b	(/.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))
	29.5b	(/.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)))
	25.4b	(.f64 (/.f64 2 (.f64 k k)) (/.f64 (cos.f64 k) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 l l))))
	33.1b	(/.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))))))
✓	24.5b	(/.f64 2 (.f64 (.f64 (.f64 k k) t) (.f64 (pow.f64 (sin.f64 k) 2) (/.f64 1 (.f64 (cos.f64 k) (.f64 l l))))))
	30.1b	(/.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)))
	42.7b	(pow.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 k (sqrt.f64 t)) (/.f64 (sin.f64 k) (*.f64 l (sqrt.f64 (cos.f64 k)))))) 2)
	40.2b	(/.f64 2 (.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) 1) (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (.f64 (cos.f64 k) (*.f64 l l)))))
	56.7b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) 2) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	43.1b	(pow.f64 (/.f64 (sqrt.f64 2) (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k))))) 2)
	43.5b	(/.f64 2 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2))
	26.1b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	41.9b	(.f64 (/.f64 2 (/.f64 (pow.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) 2) (cos.f64 k))) (.f64 l l))

Compiler

Compiled 4006 to 2120 computations (47.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.9b	(/.f64 (pow.f64 (sin.f64 k) 2) (pow.f64 (cbrt.f64 (.f64 (cos.f64 k) (.f64 l l))) 2))
	6.7b	(.f64 (.f64 k k) t)
✓	17.8b	(.f64 (.f64 (.f64 k k) t) (/.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (pow.f64 (cbrt.f64 (.f64 (cos.f64 k) (.f64 l l))) 2)) (cbrt.f64 (.f64 (cos.f64 k) (*.f64 l l)))))
✓	29.5b	(cbrt.f64 (.f64 (cos.f64 k) (.f64 l l)))

series1.5s (5.9%)

Counts

3 → 84

Calls

3 calls:

911.0ms

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

511.0ms

(cbrt.f64 (*.f64 (cos.f64 k) (*.f64 l l)))

126.0ms

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

rewrite77.0ms (0.3%)

Algorithm

2×	batch-egg-rewrite

Rules

297×	`log1p-udef_binary64`
171×	`add-sqr-sqrt_binary64`
163×	`log1p-expm1-u_binary64`
163×	`expm1-log1p-u_binary64`
160×	`associate-r_binary64`

Counts

3 → 87

Calls

3 calls:

75.0ms

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

75.0ms

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

75.0ms

(cbrt.f64 (*.f64 (cos.f64 k) (*.f64 l l)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	77
1	357	54
2	4292	54
3	4990	54
0	0	0
1	0	0

simplify78.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

637×	`unswap-sqr_binary64`
431×	`associate-r_binary64`
409×	`associate-l_binary64`
399×	`fma-def_binary64`
383×	`fma-neg_binary64`

Counts

171 → 125

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	2062
1	328	2014
2	987	1943
3	3977	1831
4	5694	1831

prune311.0ms (1.2%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	24	24
Picked	0	1	1
Done	0	1	1
Total	183	26	209

Error

7.4b

Counts

209 → 26

Alt Table

Status	Error	Program
	29.3b	(/.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)))
	42.0b	(/.f64 2 (.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) 2)) 2) (cos.f64 k)) (/.f64 (cbrt.f64 (pow.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) 2)) (.f64 l l))))
✓	24.6b	(/.f64 2 (.f64 (.f64 (.f64 k k) t) (/.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (pow.f64 (cbrt.f64 (.f64 (cos.f64 k) (.f64 l l))) 2)) (cbrt.f64 (.f64 (cos.f64 k) (*.f64 l l))))))
	35.5b	(/.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)))
	49.5b	(/.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))
	29.9b	(/.f64 2 (.f64 (/.f64 t l) (+.f64 (/.f64 (pow.f64 k 4) l) (/.f64 (.f64 1/6 (pow.f64 k 6)) l))))
	51.0b	(cbrt.f64 (pow.f64 (/.f64 2 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2)) 3))
	35.3b	(/.f64 2 (/.f64 (.f64 (pow.f64 k 2) (cbrt.f64 (pow.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) 3))) (*.f64 (cos.f64 k) (pow.f64 l 2))))
	27.3b	(/.f64 2 (.f64 (.f64 (.f64 k k) t) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 k) 4)) (/.f64 (.f64 (cos.f64 k) (*.f64 l l)) (pow.f64 (cbrt.f64 (sin.f64 k)) 2)))))
	25.4b	(/.f64 2 (.f64 (.f64 k k) (/.f64 1 (/.f64 (cos.f64 k) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 l l))))))
	50.7b	(/.f64 2 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (.f64 k (sqrt.f64 t)) (/.f64 (sin.f64 k) (*.f64 l (sqrt.f64 (cos.f64 k))))) 2) 3)))
	41.9b	(.f64 (.f64 (/.f64 2 (pow.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) 2)) (*.f64 l l)) (cos.f64 k))
	34.8b	(/.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)))
	43.6b	(/.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))
	29.5b	(/.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)))
	25.4b	(.f64 (/.f64 2 (.f64 k k)) (/.f64 (cos.f64 k) (/.f64 (.f64 t (pow.f64 (sin.f64 k) 2)) (.f64 l l))))
	33.1b	(/.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))))))
✓	24.5b	(/.f64 2 (.f64 (.f64 (.f64 k k) t) (.f64 (pow.f64 (sin.f64 k) 2) (/.f64 1 (.f64 (cos.f64 k) (.f64 l l))))))
	30.1b	(/.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)))
	42.7b	(pow.f64 (/.f64 (sqrt.f64 2) (.f64 (.f64 k (sqrt.f64 t)) (/.f64 (sin.f64 k) (*.f64 l (sqrt.f64 (cos.f64 k)))))) 2)
	40.2b	(/.f64 2 (.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) 1) (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (.f64 (cos.f64 k) (*.f64 l l)))))
	56.7b	(/.f64 2 (.f64 (.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (sin.f64 k))) 2) (tan.f64 k)) (pow.f64 (/.f64 k t) 2)))
	43.1b	(pow.f64 (/.f64 (sqrt.f64 2) (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k))))) 2)
	43.5b	(/.f64 2 (pow.f64 (/.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) (*.f64 l (sqrt.f64 (cos.f64 k)))) 2))
	26.1b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	41.9b	(.f64 (/.f64 2 (/.f64 (pow.f64 (.f64 k (.f64 (sin.f64 k) (sqrt.f64 t))) 2) (cos.f64 k))) (.f64 l l))

Compiler

Compiled 6638 to 2858 computations (56.9% saved)

regimes1.8s (6.7%)

Accuracy

Total 9.5b remaining (57.5%)

Threshold costs 0b (0%)

Counts

145 → 3

Compiler

Compiled 22974 to 16126 computations (29.8% saved)

bsearch6.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
1×	`/-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	119
1	56	119
2	55	119

end409.0ms (1.6%)

Compiler: Compiled 810 to 552 computations (31.9% saved)

Details

analyze3.3s (12.7%)

sample16.3s (62.4%)

simplify34.0ms (0.1%)

prune4.0ms (0%)

localize16.0ms (0.1%)

series342.0ms (1.3%)

rewrite88.0ms (0.3%)

simplify63.0ms (0.2%)

prune166.0ms (0.6%)

localize14.0ms (0.1%)

series376.0ms (1.4%)

rewrite89.0ms (0.3%)

simplify75.0ms (0.3%)

prune229.0ms (0.9%)

localize14.0ms (0.1%)

series390.0ms (1.5%)

rewrite81.0ms (0.3%)

simplify95.0ms (0.4%)

prune209.0ms (0.8%)

localize16.0ms (0.1%)

series1.5s (5.9%)

rewrite77.0ms (0.3%)

simplify78.0ms (0.3%)

prune311.0ms (1.2%)

regimes1.8s (6.7%)

bsearch6.0ms (0%)

simplify3.0ms (0%)

end409.0ms (1.6%)

Profiling