Details

analyze2.8s (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
1.6%	98.3%	0.1%	8
2.3%	97.5%	0.1%	9
7.4%	90.9%	1.7%	10
9.2%	87.4%	3.5%	11
11.7%	83.5%	4.8%	12
15.2%	76%	8.8%	13
16.4%	72%	11.6%	14

Compiler

Compiled 29 to 22 computations (24.1% saved)

sample5.3s (26.4%)

Results

2.6s	2741×	body	1024	valid
908.0ms	3621×	body	128	valid
873.0ms	1276×	body	512	valid
335.0ms	1440×	body	128	invalid
274.0ms	613×	body	256	valid
89.0ms	136×	body	512	invalid
57.0ms	58×	body	1024	invalid
45.0ms	109×	body	256	invalid
7.0ms	5×	body	2048	valid

Compiler

Compiled 86 to 65 computations (24.4% saved)

simplify71.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

627×	`distribute-rgt-in_binary64`
623×	`distribute-lft-in_binary64`
431×	`associate-/r/_binary64`
404×	`associate-/r*_binary64`
395×	`fma-def_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	38
1	54	35
2	181	35
3	898	35
4	3262	35
5	4861	35
6	4933	35
7	5155	35

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

29.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	29.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 103 to 71 computations (31.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.2b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
✓	3.9b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
✓	12.5b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
✓	14.7b	(/.f64 (pow.f64 t 3) (*.f64 l l))

series536.0ms (2.7%)

Counts

4 → 132

Calls

4 calls:

192.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
168.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
137.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
39.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))

rewrite299.0ms (1.5%)

Algorithm

4×	egg-rewrite

Rules

57×	`egg`
53×	`egg`
52×	`egg`
49×	`egg`

Counts

4 → 211

Calls

4 calls:

91.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))
85.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))
66.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
52.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	150	10
2	1776	10
3	4995	10
4	5287	10
0	17	32
1	379	32
2	4889	32
3	5653	32
0	10	15
1	210	15
2	2530	15
3	4988	15
0	12	20
1	253	20
2	3104	20
3	5456	20

simplify93.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

829×	`associate-/l*_binary64`
699×	`associate-l_binary64`
479×	`associate-/r*_binary64`
278×	`fma-def_binary64`
260×	`associate-/r/_binary64`

Counts

343 → 250

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	3459
1	315	3455
2	1272	3239
3	5684	3239

prune467.0ms (2.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	234	16	250
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	235	16	251

Error

7.4b

Counts

251 → 16

Alt Table

Status	Error	Program
	41.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (.f64 (/.f64 (pow.f64 t 3/2) l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	16.5b	(/.f64 2 (.f64 (.f64 (.f64 (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2) (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	26.9b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (pow.f64 t 3) l) (/.f64 (sin.f64 k) l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	48.9b	(/.f64 2 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (.f64 (sin.f64 k) (tan.f64 k)))) (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (.f64 (sin.f64 k) (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	20.5b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (.f64 (sin.f64 k) (tan.f64 k)))) 2) (.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (.f64 (sin.f64 k) (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	27.8b	(/.f64 2 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 k) 2)) (.f64 (cos.f64 k) (pow.f64 l 2)))) (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (pow.f64 l 2)))))
	30.2b	(/.f64 2 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 t 3) l) (*.f64 (sin.f64 k) (tan.f64 k))) l) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	29.5b	(/.f64 2 (.f64 (.f64 (.f64 (pow.f64 t 3) (.f64 (pow.f64 l -2) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	44.3b	(/.f64 2 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (.f64 (/.f64 (pow.f64 t 3/2) l) (.f64 (sin.f64 k) (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	29.3b	(/.f64 2 (/.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (.f64 l l)))
	27.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) (/.f64 (*.f64 l l) t)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	23.4b	(/.f64 2 (.f64 (/.f64 (pow.f64 (sin.f64 k) 2) (.f64 l l)) (+.f64 (/.f64 (.f64 t (.f64 k k)) (cos.f64 k)) (*.f64 2 (/.f64 (pow.f64 t 3) (cos.f64 k))))))
▶	13.0b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2) (.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	24.2b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t l) (/.f64 (*.f64 t t) l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	22.0b	(/.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 2 (pow.f64 (/.f64 k t) 2))))
	38.5b	(/.f64 2 (fma.f64 (/.f64 t l) (/.f64 (pow.f64 k 4) l) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (pow.f64 k 4)) (fma.f64 31/180 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (pow.f64 k 6)) (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (.f64 k k)) (.f64 1/6 (/.f64 (.f64 t (pow.f64 k 6)) (.f64 l l))))))))

Compiler

Compiled 8836 to 5120 computations (42.1% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (sin.f64 k))
✓	1.2b	(*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k)))
✓	5.5b	(.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
✓	11.2b	(.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2) (.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))

series2.1s (10.6%)

Counts

4 → 120

Calls

4 calls:

1.1s	(*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k)))
684.0ms	(.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
209.0ms	(.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2) (.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
171.0ms	(cbrt.f64 (sin.f64 k))

rewrite320.0ms (1.6%)

Algorithm

4×	egg-rewrite

Rules

58×	`egg`
52×	`egg`
36×	`egg`
32×	`egg`

Counts

4 → 178

Calls

4 calls:

83.0ms	(*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k)))
83.0ms	(.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2) (.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
81.0ms	(.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
70.0ms	(cbrt.f64 (sin.f64 k))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	54
1	413	34
2	4877	34
3	5165	34
0	17	33
1	368	31
2	4631	31
3	5074	31
0	11	16
1	220	14
2	2507	14
3	4969	14
4	5243	14
0	4	5
1	75	5
2	839	5
3	4502	5
4	5500	5

simplify110.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

839×	`associate-/l*_binary64`
813×	`fma-def_binary64`
196×	`associate-/r/_binary64`
173×	`associate-r_binary64`
151×	`cancel-sign-sub-inv_binary64`

Counts

298 → 236

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	202	4595
1	614	4226
2	2083	3700
3	5442	3700

prune874.0ms (4.3%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	334	10	344
Fresh	1	14	15
Picked	1	0	1
Done	0	0	0
Total	336	24	360

Error

7.0b

Counts

360 → 24

Alt Table

Status	Error	Program
	42.7b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2) (.f64 2 (.f64 k (.f64 t (.f64 (cbrt.f64 k) (pow.f64 (/.f64 1 l) 2/3)))))))
	44.3b	(/.f64 2 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (.f64 (/.f64 (pow.f64 t 3/2) l) (.f64 (sin.f64 k) (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	38.8b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2) (.f64 (.f64 (/.f64 t (cbrt.f64 (.f64 l (cbrt.f64 l)))) (/.f64 (cbrt.f64 (sin.f64 k)) (cbrt.f64 (pow.f64 l 2/3)))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	27.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) (/.f64 (*.f64 l l) t)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
▶	13.0b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2) (.f64 (.f64 (/.f64 t (cbrt.f64 l)) (/.f64 (cbrt.f64 (sin.f64 k)) (cbrt.f64 l))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	17.2b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (fma.f64 (cbrt.f64 (pow.f64 k 7)) -1/18 (cbrt.f64 k))) 2) (.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	41.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (.f64 (/.f64 (pow.f64 t 3/2) l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	16.5b	(/.f64 2 (.f64 (.f64 (.f64 (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2) (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	13.0b	(/.f64 2 (.f64 (pow.f64 (.f64 t (.f64 (pow.f64 (cbrt.f64 l) -2) (cbrt.f64 (sin.f64 k)))) 2) (.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	26.9b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (pow.f64 t 3) l) (/.f64 (sin.f64 k) l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	48.9b	(/.f64 2 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (.f64 (sin.f64 k) (tan.f64 k)))) (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (.f64 (sin.f64 k) (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	20.5b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (.f64 (sin.f64 k) (tan.f64 k)))) 2) (.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (.f64 (sin.f64 k) (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	27.8b	(/.f64 2 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 k) 2)) (.f64 (cos.f64 k) (pow.f64 l 2)))) (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (pow.f64 l 2)))))
	20.7b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (pow.f64 (sin.f64 k) 2) 1/6)) 2) (.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	22.0b	(/.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 2 (pow.f64 (/.f64 k t) 2))))
	36.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (pow.f64 l 2/3)) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))) (pow.f64 (.f64 (.f64 (/.f64 t (pow.f64 l 2/3)) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))) 2)))
	30.2b	(/.f64 2 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 t 3) l) (*.f64 (sin.f64 k) (tan.f64 k))) l) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	29.5b	(/.f64 2 (.f64 (.f64 (.f64 (pow.f64 t 3) (.f64 (pow.f64 l -2) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	38.9b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2) (fma.f64 (.f64 t (.f64 (cbrt.f64 k) (pow.f64 (/.f64 1 l) 2/3))) (fma.f64 k 2 (.f64 5/9 (pow.f64 k 3))) (.f64 (/.f64 (pow.f64 k 3) t) (*.f64 (cbrt.f64 k) (pow.f64 (/.f64 1 l) 2/3))))))
	38.5b	(/.f64 2 (fma.f64 (/.f64 t l) (/.f64 (pow.f64 k 4) l) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (pow.f64 k 4)) (fma.f64 31/180 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (pow.f64 k 6)) (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (.f64 k k)) (.f64 1/6 (/.f64 (.f64 t (pow.f64 k 6)) (.f64 l l))))))))
	29.3b	(/.f64 2 (/.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (.f64 l l)))
	13.0b	(/.f64 2 (.f64 (pow.f64 (.f64 (.f64 t (cbrt.f64 (sin.f64 k))) (pow.f64 (cbrt.f64 l) -2)) 2) (.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	38.6b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2) (.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (sin.f64 k))))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	24.2b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t l) (/.f64 (*.f64 t t) l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 16114 to 9529 computations (40.9% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 (sin.f64 k))
	1.2b	(*.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k)))
✓	5.5b	(.f64 (.f64 (/.f64 t (cbrt.f64 l)) (/.f64 (cbrt.f64 (sin.f64 k)) (cbrt.f64 l))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
✓	11.2b	(.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2) (.f64 (.f64 (/.f64 t (cbrt.f64 l)) (/.f64 (cbrt.f64 (sin.f64 k)) (cbrt.f64 l))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))

series1.0s (5%)

Counts

2 → 72

Calls

2 calls:

787.0ms

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

213.0ms

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

rewrite154.0ms (0.8%)

Algorithm

2×	egg-rewrite

Rules

51×	`egg`
22×	`egg`

Counts

2 → 73

Calls

2 calls:

82.0ms

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

70.0ms

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	54
1	472	34
2	4691	34
3	4905	34
0	17	33
1	377	31
2	4874	31
3	5259	31

simplify85.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

828×	`associate-/l*_binary64`
621×	`fma-def_binary64`
456×	`associate-/r*_binary64`
193×	`associate-/r/_binary64`
138×	`associate-r_binary64`

Counts

145 → 107

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	3637
1	480	3336
2	1694	2950
3	4989	2950

prune845.0ms (4.2%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	250	6	256
Fresh	4	19	23
Picked	1	0	1
Done	0	0	0
Total	255	25	280

Error

7.0b

Counts

280 → 25

Alt Table

Status	Error	Program
	42.7b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2) (.f64 2 (.f64 k (.f64 t (.f64 (cbrt.f64 k) (pow.f64 (/.f64 1 l) 2/3)))))))
	44.3b	(/.f64 2 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (.f64 (/.f64 (pow.f64 t 3/2) l) (.f64 (sin.f64 k) (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	29.3b	(/.f64 2 (/.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (.f64 l l)))
▶	13.0b	(/.f64 2 (.f64 (pow.f64 (.f64 (.f64 t (cbrt.f64 (sin.f64 k))) (pow.f64 (cbrt.f64 l) -2)) 2) (.f64 (.f64 (/.f64 t (cbrt.f64 l)) (/.f64 (cbrt.f64 (sin.f64 k)) (cbrt.f64 l))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	38.8b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2) (.f64 (.f64 (/.f64 t (cbrt.f64 (.f64 l (cbrt.f64 l)))) (/.f64 (cbrt.f64 (sin.f64 k)) (cbrt.f64 (pow.f64 l 2/3)))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	27.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) (/.f64 (*.f64 l l) t)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	13.0b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (cbrt.f64 l)) (/.f64 (cbrt.f64 (sin.f64 k)) (cbrt.f64 l))) 2) (.f64 (.f64 (/.f64 t (cbrt.f64 l)) (/.f64 (cbrt.f64 (sin.f64 k)) (cbrt.f64 l))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	17.2b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (fma.f64 (cbrt.f64 (pow.f64 k 7)) -1/18 (cbrt.f64 k))) 2) (.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	41.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (.f64 (/.f64 (pow.f64 t 3/2) l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	16.5b	(/.f64 2 (.f64 (.f64 (.f64 (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2) (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	13.0b	(/.f64 2 (.f64 (pow.f64 (.f64 t (.f64 (pow.f64 (cbrt.f64 l) -2) (cbrt.f64 (sin.f64 k)))) 2) (.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	26.9b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (pow.f64 t 3) l) (/.f64 (sin.f64 k) l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	48.9b	(/.f64 2 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (.f64 (sin.f64 k) (tan.f64 k)))) (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (.f64 (sin.f64 k) (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	20.5b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (.f64 (sin.f64 k) (tan.f64 k)))) 2) (.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (.f64 (sin.f64 k) (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	27.8b	(/.f64 2 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 k) 2)) (.f64 (cos.f64 k) (pow.f64 l 2)))) (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (pow.f64 l 2)))))
	36.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (pow.f64 l 2/3)) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))) (pow.f64 (.f64 (.f64 (/.f64 t (pow.f64 l 2/3)) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))) 2)))
	30.0b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2) (.f64 (.f64 (/.f64 t (cbrt.f64 l)) (/.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 k)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 k)))))) (cbrt.f64 l))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	29.5b	(/.f64 2 (.f64 (.f64 (.f64 (pow.f64 t 3) (.f64 (pow.f64 l -2) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	17.1b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2) (.f64 (pow.f64 (cbrt.f64 (/.f64 t (cbrt.f64 l))) 2) (.f64 (cbrt.f64 (/.f64 t (cbrt.f64 l))) (.f64 (cbrt.f64 (/.f64 (sin.f64 k) l)) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))))
	38.9b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2) (fma.f64 (.f64 t (.f64 (cbrt.f64 k) (pow.f64 (/.f64 1 l) 2/3))) (fma.f64 k 2 (.f64 5/9 (pow.f64 k 3))) (.f64 (/.f64 (pow.f64 k 3) t) (*.f64 (cbrt.f64 k) (pow.f64 (/.f64 1 l) 2/3))))))
	38.5b	(/.f64 2 (fma.f64 (/.f64 t l) (/.f64 (pow.f64 k 4) l) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (pow.f64 k 4)) (fma.f64 31/180 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (pow.f64 k 6)) (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (.f64 k k)) (.f64 1/6 (/.f64 (.f64 t (pow.f64 k 6)) (.f64 l l))))))))
	16.6b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2) (.f64 (cbrt.f64 (/.f64 (sin.f64 k) l)) (.f64 (/.f64 t (cbrt.f64 l)) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))))
	38.6b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2) (.f64 (.f64 (/.f64 t (cbrt.f64 l)) (/.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (sin.f64 k)))) (cbrt.f64 l))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	24.2b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t l) (/.f64 (*.f64 t t) l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	22.0b	(/.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 2 (pow.f64 (/.f64 k t) 2))))

Compiler

Compiled 12765 to 7014 computations (45.1% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 2 (.f64 (pow.f64 (.f64 (.f64 t (cbrt.f64 (sin.f64 k))) (pow.f64 (cbrt.f64 l) -2)) 2) (.f64 (.f64 (/.f64 t (cbrt.f64 l)) (/.f64 (cbrt.f64 (sin.f64 k)) (cbrt.f64 l))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	0.6b	(cbrt.f64 (sin.f64 k))
	5.5b	(.f64 (.f64 (/.f64 t (cbrt.f64 l)) (/.f64 (cbrt.f64 (sin.f64 k)) (cbrt.f64 l))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
✓	11.2b	(.f64 (pow.f64 (.f64 (.f64 t (cbrt.f64 (sin.f64 k))) (pow.f64 (cbrt.f64 l) -2)) 2) (.f64 (.f64 (/.f64 t (cbrt.f64 l)) (/.f64 (cbrt.f64 (sin.f64 k)) (cbrt.f64 l))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))

series646.0ms (3.2%)

Counts

2 → 72

Calls

2 calls:

329.0ms

(/.f64 2 (*.f64 (pow.f64 (*.f64 (*.f64 t (cbrt.f64 (sin.f64 k))) (pow.f64 (cbrt.f64 l) -2)) 2) (*.f64 (*.f64 (/.f64 t (cbrt.f64 l)) (/.f64 (cbrt.f64 (sin.f64 k)) (cbrt.f64 l))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))

317.0ms

(*.f64 (pow.f64 (*.f64 (*.f64 t (cbrt.f64 (sin.f64 k))) (pow.f64 (cbrt.f64 l) -2)) 2) (*.f64 (*.f64 (/.f64 t (cbrt.f64 l)) (/.f64 (cbrt.f64 (sin.f64 k)) (cbrt.f64 l))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))

rewrite113.0ms (0.6%)

Algorithm

2×	egg-rewrite

Rules

22×	`egg`
21×	`egg`

Counts

2 → 43

Calls

2 calls:

69.0ms

(*.f64 (pow.f64 (*.f64 (*.f64 t (cbrt.f64 (sin.f64 k))) (pow.f64 (cbrt.f64 l) -2)) 2) (*.f64 (*.f64 (/.f64 t (cbrt.f64 l)) (/.f64 (cbrt.f64 (sin.f64 k)) (cbrt.f64 l))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))

41.0ms

(/.f64 2 (*.f64 (pow.f64 (*.f64 (*.f64 t (cbrt.f64 (sin.f64 k))) (pow.f64 (cbrt.f64 l) -2)) 2) (*.f64 (*.f64 (/.f64 t (cbrt.f64 l)) (/.f64 (cbrt.f64 (sin.f64 k)) (cbrt.f64 l))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	54
1	509	50
2	4850	50
3	4977	50
0	24	57
1	537	53
2	4991	53

simplify279.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

790×	`fma-def_binary64`
296×	`times-frac_binary64`
265×	`associate-/l/_binary64`
230×	`associate-/l*_binary64`
229×	`cancel-sign-sub-inv_binary64`

Counts

115 → 87

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	186	3986
1	599	3956
2	2812	3646
3	4821	3600
4	5080	3600

prune874.0ms (4.3%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	233	5	238
Fresh	1	23	24
Picked	0	1	1
Done	0	0	0
Total	234	29	263

Error

6.5b

Counts

263 → 29

Alt Table

Status	Error	Program
	42.7b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2) (.f64 2 (.f64 k (.f64 t (.f64 (cbrt.f64 k) (pow.f64 (/.f64 1 l) 2/3)))))))
	44.3b	(/.f64 2 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (.f64 (/.f64 (pow.f64 t 3/2) l) (.f64 (sin.f64 k) (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	30.9b	(.f64 2 (/.f64 (.f64 (cos.f64 k) (pow.f64 l 2)) (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2)))))
	38.8b	(/.f64 2 (.f64 (pow.f64 (.f64 (.f64 t (.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 k) 1/9)) 2) 3) (pow.f64 (sin.f64 k) 1/9))) (pow.f64 (cbrt.f64 l) -2)) 2) (.f64 (.f64 (/.f64 t (cbrt.f64 l)) (/.f64 (cbrt.f64 (sin.f64 k)) (cbrt.f64 l))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	36.3b	(/.f64 (/.f64 2 (pow.f64 (.f64 (.f64 t (cbrt.f64 (sin.f64 k))) (pow.f64 l -2/3)) 2)) (.f64 (/.f64 (.f64 t (cbrt.f64 (sin.f64 k))) (pow.f64 l 2/3)) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	16.6b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2) (.f64 (cbrt.f64 (/.f64 (sin.f64 k) l)) (.f64 (/.f64 t (cbrt.f64 l)) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))))
	29.3b	(/.f64 2 (/.f64 (.f64 (.f64 (pow.f64 t 3) (sin.f64 k)) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2)))) (.f64 l l)))
✓	13.0b	(/.f64 2 (.f64 (pow.f64 (.f64 (.f64 t (cbrt.f64 (sin.f64 k))) (pow.f64 (cbrt.f64 l) -2)) 2) (.f64 (.f64 (/.f64 t (cbrt.f64 l)) (/.f64 (cbrt.f64 (sin.f64 k)) (cbrt.f64 l))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	38.8b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2) (.f64 (.f64 (/.f64 t (cbrt.f64 (.f64 l (cbrt.f64 l)))) (/.f64 (cbrt.f64 (sin.f64 k)) (cbrt.f64 (pow.f64 l 2/3)))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	27.9b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (.f64 t t) (/.f64 (*.f64 l l) t)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	13.0b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (cbrt.f64 l)) (/.f64 (cbrt.f64 (sin.f64 k)) (cbrt.f64 l))) 2) (.f64 (.f64 (/.f64 t (cbrt.f64 l)) (/.f64 (cbrt.f64 (sin.f64 k)) (cbrt.f64 l))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	17.2b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (fma.f64 (cbrt.f64 (pow.f64 k 7)) -1/18 (cbrt.f64 k))) 2) (.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	41.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (.f64 (/.f64 (pow.f64 t 3/2) l) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	16.5b	(/.f64 2 (.f64 (.f64 (.f64 (pow.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) 2) (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	13.0b	(/.f64 2 (.f64 (pow.f64 (.f64 t (.f64 (pow.f64 (cbrt.f64 l) -2) (cbrt.f64 (sin.f64 k)))) 2) (.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	26.9b	(/.f64 2 (.f64 (.f64 (*.f64 (/.f64 (pow.f64 t 3) l) (/.f64 (sin.f64 k) l)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	48.9b	(/.f64 2 (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (.f64 (sin.f64 k) (tan.f64 k)))) (.f64 (.f64 (/.f64 (pow.f64 t 3/2) l) (sqrt.f64 (.f64 (sin.f64 k) (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	20.5b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (.f64 (sin.f64 k) (tan.f64 k)))) 2) (.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (.f64 (sin.f64 k) (tan.f64 k)))) (+.f64 2 (pow.f64 (/.f64 k t) 2)))))
	27.8b	(/.f64 2 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 t 3) (pow.f64 (sin.f64 k) 2)) (.f64 (cos.f64 k) (pow.f64 l 2)))) (/.f64 (.f64 (pow.f64 k 2) (.f64 t (pow.f64 (sin.f64 k) 2))) (.f64 (cos.f64 k) (pow.f64 l 2)))))
	38.1b	(fma.f64 (/.f64 l (.f64 k k)) (/.f64 l (pow.f64 t 3)) (fma.f64 (/.f64 (.f64 l l) (pow.f64 t 3)) -1/6 (.f64 (/.f64 (.f64 l l) (pow.f64 t 5)) -1/2)))
	24.2b	(/.f64 2 (.f64 (.f64 (.f64 (.f64 (/.f64 t l) (/.f64 (*.f64 t t) l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	36.3b	(/.f64 2 (.f64 (.f64 (.f64 (/.f64 t (pow.f64 l 2/3)) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))) (pow.f64 (.f64 (.f64 (/.f64 t (pow.f64 l 2/3)) (cbrt.f64 (sin.f64 k))) (cbrt.f64 (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))) 2)))
	30.0b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2) (.f64 (.f64 (/.f64 t (cbrt.f64 l)) (/.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 k)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (sin.f64 k)))))) (cbrt.f64 l))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))
	29.5b	(/.f64 2 (.f64 (.f64 (.f64 (pow.f64 t 3) (.f64 (pow.f64 l -2) (sin.f64 k))) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2))))
	17.1b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2) (.f64 (pow.f64 (cbrt.f64 (/.f64 t (cbrt.f64 l))) 2) (.f64 (cbrt.f64 (/.f64 t (cbrt.f64 l))) (.f64 (cbrt.f64 (/.f64 (sin.f64 k) l)) (.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))))
	38.9b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2) (fma.f64 (.f64 t (.f64 (cbrt.f64 k) (pow.f64 (/.f64 1 l) 2/3))) (fma.f64 k 2 (.f64 5/9 (pow.f64 k 3))) (.f64 (/.f64 (pow.f64 k 3) t) (*.f64 (cbrt.f64 k) (pow.f64 (/.f64 1 l) 2/3))))))
	33.9b	(/.f64 (pow.f64 l 2) (*.f64 (pow.f64 k 2) (pow.f64 t 3)))
	38.5b	(/.f64 2 (fma.f64 (/.f64 t l) (/.f64 (pow.f64 k 4) l) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (pow.f64 k 4)) (fma.f64 31/180 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (pow.f64 k 6)) (fma.f64 2 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (.f64 k k)) (.f64 1/6 (/.f64 (.f64 t (pow.f64 k 6)) (.f64 l l))))))))
	38.6b	(/.f64 2 (.f64 (pow.f64 (.f64 (/.f64 t (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 (sin.f64 k))) 2) (.f64 (.f64 (/.f64 t (cbrt.f64 l)) (/.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (sin.f64 k)))) (cbrt.f64 l))) (*.f64 (tan.f64 k) (+.f64 2 (pow.f64 (/.f64 k t) 2))))))

Compiler

Compiled 11501 to 6343 computations (44.8% saved)

regimes2.2s (10.7%)

Accuracy

Total 3.0b remaining (29.3%)

Threshold costs 0b (0%)

Counts

174 → 3

Compiler

Compiled 37150 to 26553 computations (28.5% saved)

bsearch203.0ms (1%)

Steps

Iters	Range		Point
4	1.4068239485441199e-108	2.547170129831757e-108	1.6537578212974721e-108
10	-6.411332065917639e-50	-5.232771539664643e-63	-1.2869095709499647e-59

Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	175
1	62	175
2	62	175

end709.0ms (3.5%)

Compiler: Compiled 1320 to 876 computations (33.6% saved)

Details

analyze2.8s (13.7%)

sample5.3s (26.4%)

simplify71.0ms (0.4%)

prune4.0ms (0%)

localize16.0ms (0.1%)

series536.0ms (2.7%)

rewrite299.0ms (1.5%)

simplify93.0ms (0.5%)

prune467.0ms (2.3%)

localize20.0ms (0.1%)

series2.1s (10.6%)

rewrite320.0ms (1.6%)

simplify110.0ms (0.5%)

prune874.0ms (4.3%)

localize25.0ms (0.1%)

series1.0s (5%)

rewrite154.0ms (0.8%)

simplify85.0ms (0.4%)

prune845.0ms (4.2%)

localize24.0ms (0.1%)

series646.0ms (3.2%)

rewrite113.0ms (0.6%)

simplify279.0ms (1.4%)

prune874.0ms (4.3%)

regimes2.2s (10.7%)

bsearch203.0ms (1%)

simplify4.0ms (0%)

end709.0ms (3.5%)

Profiling